Sample records for basic hypergeometric series

  1. Operator identities involving the bivariate Rogers-Szegö polynomials and their applications to the multiple q-series identities

    NASA Astrophysics Data System (ADS)

    Zhang, Zhizheng; Wang, Tianze

    2008-07-01

    In this paper, we first give several operator identities involving the bivariate Rogers-Szegö polynomials. By applying the technique of parameter augmentation to the multiple q-binomial theorems given by Milne [S.C. Milne, Balanced summation theorems for U(n) basic hypergeometric series, AdvE Math. 131 (1997) 93-187], we obtain several new multiple q-series identities involving the bivariate Rogers-Szegö polynomials. These include multiple extensions of Mehler's formula and Rogers's formula. Our U(n+1) generalizations are quite natural as they are also a direct and immediate consequence of their (often classical) known one-variable cases and Milne's fundamental theorem for An or U(n+1) basic hypergeometric series in Theorem 1E49 of [S.C. Milne, An elementary proof of the Macdonald identities for , Adv. Math. 57 (1985) 34-70], as rewritten in Lemma 7.3 on p. 163 of [S.C. Milne, Balanced summation theorems for U(n) basic hypergeometric series, Adv. Math. 131 (1997) 93-187] or Corollary 4.4 on pp. 768-769 of [S.C. Milne, M. Schlosser, A new An extension of Ramanujan's summation with applications to multilateral An series, Rocky Mountain J. Math. 32 (2002) 759-792].

  2. Hypergeometric continuation of divergent perturbation series: II. Comparison with Shanks transformation and Padé approximation

    NASA Astrophysics Data System (ADS)

    Sanders, Sören; Holthaus, Martin

    2017-11-01

    We explore in detail how analytic continuation of divergent perturbation series by generalized hypergeometric functions is achieved in practice. Using the example of strong-coupling perturbation series provided by the two-dimensional Bose-Hubbard model, we compare hypergeometric continuation to Shanks and Padé techniques, and demonstrate that the former yields a powerful, efficient and reliable alternative for computing the phase diagram of the Mott insulator-to-superfluid transition. In contrast to Shanks transformations and Padé approximations, hypergeometric continuation also allows us to determine the exponents which characterize the divergence of correlation functions at the transition points. Therefore, hypergeometric continuation constitutes a promising tool for the study of quantum phase transitions.

  3. Further summation formulae related to generalized harmonic numbers

    NASA Astrophysics Data System (ADS)

    Zheng, De-Yin

    2007-11-01

    By employing the univariate series expansion of classical hypergeometric series formulae, Shen [L.-C. Shen, Remarks on some integrals and series involving the Stirling numbers and [zeta](n), Trans. Amer. Math. Soc. 347 (1995) 1391-1399] and Choi and Srivastava [J. Choi, H.M. Srivastava, Certain classes of infinite series, Monatsh. Math. 127 (1999) 15-25; J. Choi, H.M. Srivastava, Explicit evaluation of Euler and related sums, Ramanujan J. 10 (2005) 51-70] investigated the evaluation of infinite series related to generalized harmonic numbers. More summation formulae have systematically been derived by Chu [W. Chu, Hypergeometric series and the Riemann Zeta function, Acta Arith. 82 (1997) 103-118], who developed fully this approach to the multivariate case. The present paper will explore the hypergeometric series method further and establish numerous summation formulae expressing infinite series related to generalized harmonic numbers in terms of the Riemann Zeta function [zeta](m) with m=5,6,7, including several known ones as examples.

  4. A Set of Orthogonal Polynomials That Generalize the Racah Coefficients or 6 - j Symbols.

    DTIC Science & Technology

    1978-03-01

    Generalized Hypergeometric Functions, Cambridge Univ. Press, Cambridge, 1966. [11] D. Stanton, Some basic hypergeometric polynomials arising from... Some bas ic hypergeometr ic an a logues of the classical orthogonal polynomials and applications , to appear. [3] C. de Boor and G. H. Golub , The...Report #1833 A SET OF ORTHOGONAL POLYNOMIALS THAT GENERALIZE THE RACAR COEFFICIENTS OR 6 — j SYMBOLS Richard Askey and James Wilson •

  5. New infinite families of exact sums of squares formulas, Jacobi elliptic functions, and Ramanujan's tau function.

    PubMed

    Milne, S C

    1996-12-24

    In this paper, we give two infinite families of explicit exact formulas that generalize Jacobi's (1829) 4 and 8 squares identities to 4n(2) or 4n(n + 1) squares, respectively, without using cusp forms. Our 24 squares identity leads to a different formula for Ramanujan's tau function tau(n), when n is odd. These results arise in the setting of Jacobi elliptic functions, Jacobi continued fractions, Hankel or Turánian determinants, Fourier series, Lambert series, inclusion/exclusion, Laplace expansion formula for determinants, and Schur functions. We have also obtained many additional infinite families of identities in this same setting that are analogous to the eta-function identities in appendix I of Macdonald's work [Macdonald, I. G. (1972) Invent. Math. 15, 91-143]. A special case of our methods yields a proof of the two conjectured [Kac, V. G. and Wakimoto, M. (1994) in Progress in Mathematics, eds. Brylinski, J.-L., Brylinski, R., Guillemin, V. & Kac, V. (Birkhäuser Boston, Boston, MA), Vol. 123, pp. 415-456] identities involving representing a positive integer by sums of 4n(2) or 4n(n + 1) triangular numbers, respectively. Our 16 and 24 squares identities were originally obtained via multiple basic hypergeometric series, Gustafson's C(l) nonterminating (6)phi(5) summation theorem, and Andrews' basic hypergeometric series proof of Jacobi's 4 and 8 squares identities. We have (elsewhere) applied symmetry and Schur function techniques to this original approach to prove the existence of similar infinite families of sums of squares identities for n(2) or n(n + 1) squares, respectively. Our sums of more than 8 squares identities are not the same as the formulas of Mathews (1895), Glaisher (1907), Ramanujan (1916), Mordell (1917, 1919), Hardy (1918, 1920), Kac and Wakimoto, and many others.

  6. Stochastic Modeling of Flow-Structure Interactions using Generalized Polynomial Chaos

    DTIC Science & Technology

    2001-09-11

    Some basic hypergeometric polynomials that generalize Jacobi polynomials . Memoirs Amer. Math. Soc...scheme, which is represented as a tree structure in figure 1 (following [24]), classifies the hypergeometric orthogonal polynomials and indicates the...2F0(1) 2F0(0) Figure 1: The Askey scheme of orthogonal polynomials The orthogonal polynomials associated with the generalized polynomial chaos,

  7. Plasma Dispersion Function for the Kappa Distribution

    NASA Technical Reports Server (NTRS)

    Podesta, John J.

    2004-01-01

    The plasma dispersion function is computed for a homogeneous isotropic plasma in which the particle velocities are distributed according to a Kappa distribution. An ordinary differential equation is derived for the plasma dispersion function and it is shown that the solution can be written in terms of Gauss' hypergeometric function. Using the extensive theory of the hypergeometric function, various mathematical properties of the plasma dispersion function are derived including symmetry relations, series expansions, integral representations, and closed form expressions for integer and half-integer values of K.

  8. Generalized spheroidal wave equation and limiting cases

    NASA Astrophysics Data System (ADS)

    Figueiredo, B. D. Bonorino

    2007-01-01

    We find sets of solutions to the generalized spheroidal wave equation (GSWE) or, equivalently, to the confluent Heun equation. Each set is constituted by three solutions, one given by a series of ascending powers of the independent variable, and the others by series of regular and irregular confluent hypergeometric functions. For a fixed set, the solutions converge over different regions of the complex plane but present series coefficients proportional to each other. These solutions for the GSWE afford solutions to a double-confluent Heun equation by a taking-limit process due to Leaver. [E. W. Leaver, J. Math. Phys. 27, 1238 (1986)]. Another procedure, called Whittaker-Ince limit [B. D. Figueiredo, J. Math. Phys. 46, 113503 (2005)], provides solutions in series of powers and Bessel functions for two other equations with a different type of singularity at infinity. In addition, new solutions are obtained for the Whittaker-Hill and Mathieu equations [F. M. Arscott, Proc. R. Soc. Edinburg A67, 265 (1967)] by considering these as special cases of both the confluent and double-confluent Heun equations. In particular, we find that each of the Lindemann-Stieltjes solutions for the Mathieu equation [E. T. Whittaker and G. N. Watson, A Course of Modern Analysis, Cambridge University Press (1945)] is associated with two expansions in series of Bessel functions. We also discuss a set of solutions in series of hypergeometric and confluent hypergeometric functions for the GSWE and use their Leaver limits to obtain infinite-series solutions for the Schrödinger equation with an asymmetric double-Morse potential. Finally, the possibility of extending the solutions of the GSWE to the general Heun equation is briefly discussed.

  9. Dirac-Kähler particle in Riemann spherical space: boson interpretation

    NASA Astrophysics Data System (ADS)

    Ishkhanyan, A. M.; Florea, O.; Ovsiyuk, E. M.; Red'kov, V. M.

    2015-11-01

    In the context of the composite boson interpretation, we construct the exact general solution of the Dirac--K\\"ahler equation for the case of the spherical Riemann space of constant positive curvature, for which due to the geometry itself one may expect to have a discrete energy spectrum. In the case of the minimal value of the total angular momentum, $j=0$, the radial equations are reduced to second-order ordinary differential equations, which are straightforwardly solved in terms of the hypergeometric functions. For non-zero values of the total angular momentum, however, the radial equations are reduced to a pair of complicated fourth-order differential equations. Employing the factorization approach, we derive the general solution of these equations involving four independent fundamental solutions written in terms of combinations of the hypergeometric functions. The corresponding discrete energy spectrum is then determined via termination of the involved hypergeometric series, resulting in quasi-polynomial wave-functions. The constructed solutions lead to notable observations when compared with those for the ordinary Dirac particle. The energy spectrum for the Dirac-K\\"ahler particle in spherical space is much more complicated. Its structure substantially differs from that for the Dirac particle since it consists of two paralleled energy level series each of which is twofold degenerate. Besides, none of the two separate series coincides with the series for the Dirac particle. Thus, the Dirac--K\\"ahler field cannot be interpreted as a system of four Dirac fermions. Additional arguments supporting this conclusion are discussed.

  10. Exact Fourier expansion in cylindrical coordinates for the three-dimensional Helmholtz Green function

    NASA Astrophysics Data System (ADS)

    Conway, John T.; Cohl, Howard S.

    2010-06-01

    A new method is presented for Fourier decomposition of the Helmholtz Green function in cylindrical coordinates, which is equivalent to obtaining the solution of the Helmholtz equation for a general ring source. The Fourier coefficients of the Green function are split into their half advanced + half retarded and half advanced-half retarded components, and closed form solutions for these components are then obtained in terms of a Horn function and a Kampé de Fériet function respectively. Series solutions for the Fourier coefficients are given in terms of associated Legendre functions, Bessel and Hankel functions and a hypergeometric function. These series are derived either from the closed form 2-dimensional hypergeometric solutions or from an integral representation, or from both. A simple closed form far-field solution for the general Fourier coefficient is derived from the Hankel series. Numerical calculations comparing different methods of calculating the Fourier coefficients are presented. Fourth order ordinary differential equations for the Fourier coefficients are also given and discussed briefly.

  11. Some efficient methods for obtaining infinite series solutions of n-th order linear ordinary differential equations

    NASA Technical Reports Server (NTRS)

    Allen, G.

    1972-01-01

    The use of the theta-operator method and generalized hypergeometric functions in obtaining solutions to nth-order linear ordinary differential equations is explained. For completeness, the analysis of the differential equation to determine whether the point of expansion is an ordinary point or a regular singular point is included. The superiority of the two methods shown over the standard method is demonstrated by using all three of the methods to work out several examples. Also included is a compendium of formulae and properties of the theta operator and generalized hypergeometric functions which is complete enough to make the report self-contained.

  12. Hypergeometric continuation of divergent perturbation series: I. Critical exponents of the Bose-Hubbard model

    NASA Astrophysics Data System (ADS)

    Sanders, Sören; Holthaus, Martin

    2017-10-01

    We study the connection between the exponent of the order parameter of the Mott insulator-to-superfluid transition occurring in the two-dimensional Bose-Hubbard model, and the divergence exponents of its one- and two-particle correlation functions. We find that at the multicritical points all divergence exponents are related to each other, allowing us to express the critical exponent in terms of one single divergence exponent. This approach correctly reproduces the critical exponent of the three-dimensional XY universality class. Because divergence exponents can be computed in an efficient manner by hypergeometric analytic continuation, our strategy is applicable to a wide class of systems.

  13. Hypergeometric Series Solution to a Class of Second-Order Boundary Value Problems via Laplace Transform with Applications to Nanofluids

    NASA Astrophysics Data System (ADS)

    Ebaid, Abdelhalim; Wazwaz, Abdul-Majid; Alali, Elham; Masaedeh, Basem S.

    2017-03-01

    Very recently, it was observed that the temperature of nanofluids is finally governed by second-order ordinary differential equations with variable coefficients of exponential orders. Such coefficients were then transformed to polynomials type by using new independent variables. In this paper, a class of second-order ordinary differential equations with variable coefficients of polynomials type has been solved analytically. The analytical solution is expressed in terms of a hypergeometric function with generalized parameters. Moreover, applications of the present results have been applied on some selected nanofluids problems in the literature. The exact solutions in the literature were derived as special cases of our generalized analytical solution.

  14. Special solutions to Chazy equation

    NASA Astrophysics Data System (ADS)

    Varin, V. P.

    2017-02-01

    We consider the classical Chazy equation, which is known to be integrable in hypergeometric functions. But this solution has remained purely existential and was never used numerically. We give explicit formulas for hypergeometric solutions in terms of initial data. A special solution was found in the upper half plane H with the same tessellation of H as that of the modular group. This allowed us to derive some new identities for the Eisenstein series. We constructed a special solution in the unit disk and gave an explicit description of singularities on its natural boundary. A global solution to Chazy equation in elliptic and theta functions was found that allows parametrization of an arbitrary solution to Chazy equation. The results have applications to analytic number theory.

  15. Efficient algorithms for construction of recurrence relations for the expansion and connection coefficients in series of Al-Salam Carlitz I polynomials

    NASA Astrophysics Data System (ADS)

    Doha, E. H.; Ahmed, H. M.

    2005-12-01

    Two formulae expressing explicitly the derivatives and moments of Al-Salam-Carlitz I polynomials of any degree and for any order in terms of Al-Salam-Carlitz I themselves are proved. Two other formulae for the expansion coefficients of general-order derivatives Dpqf(x), and for the moments xellDpqf(x), of an arbitrary function f(x) in terms of its original expansion coefficients are also obtained. Application of these formulae for solving q-difference equations with varying coefficients, by reducing them to recurrence relations in the expansion coefficients of the solution, is explained. An algebraic symbolic approach (using Mathematica) in order to build and solve recursively for the connection coefficients between Al-Salam-Carlitz I polynomials and any system of basic hypergeometric orthogonal polynomials, belonging to the q-Hahn class, is described.

  16. Fast summation of divergent series and resurgent transseries from Meijer-G approximants

    NASA Astrophysics Data System (ADS)

    Mera, Héctor; Pedersen, Thomas G.; Nikolić, Branislav K.

    2018-05-01

    We develop a resummation approach based on Meijer-G functions and apply it to approximate the Borel sum of divergent series and the Borel-Écalle sum of resurgent transseries in quantum mechanics and quantum field theory (QFT). The proposed method is shown to vastly outperform the conventional Borel-Padé and Borel-Padé-Écalle summation methods. The resulting Meijer-G approximants are easily parametrized by means of a hypergeometric ansatz and can be thought of as a generalization to arbitrary order of the Borel-hypergeometric method [Mera et al., Phys. Rev. Lett. 115, 143001 (2015), 10.1103/PhysRevLett.115.143001]. Here we demonstrate the accuracy of this technique in various examples from quantum mechanics and QFT, traditionally employed as benchmark models for resummation, such as zero-dimensional ϕ4 theory; the quartic anharmonic oscillator; the calculation of critical exponents for the N -vector model; ϕ4 with degenerate minima; self-interacting QFT in zero dimensions; and the summation of one- and two-instanton contributions in the quantum-mechanical double-well problem.

  17. Modeling Uncertainty in Steady State Diffusion Problems via Generalized Polynomial Chaos

    DTIC Science & Technology

    2002-07-25

    Some basic hypergeometric polynomials that generalize Jacobi polynomials . Memoirs Amer. Math. Soc., AMS... orthogonal polynomial functionals from the Askey scheme, as a generalization of the original polynomial chaos idea of Wiener (1938). A Galerkin projection...1) by generalized polynomial chaos expansion, where the uncertainties can be introduced through κ, f , or g, or some combinations. It is worth

  18. Fast computation of the Gauss hypergeometric function with all its parameters complex with application to the Pöschl Teller Ginocchio potential wave functions

    NASA Astrophysics Data System (ADS)

    Michel, N.; Stoitsov, M. V.

    2008-04-01

    The fast computation of the Gauss hypergeometric function F12 with all its parameters complex is a difficult task. Although the F12 function verifies numerous analytical properties involving power series expansions whose implementation is apparently immediate, their use is thwarted by instabilities induced by cancellations between very large terms. Furthermore, small areas of the complex plane, in the vicinity of z=e, are inaccessible using F12 power series linear transformations. In order to solve these problems, a generalization of R.C. Forrey's transformation theory has been developed. The latter has been successful in treating the F12 function with real parameters. As in real case transformation theory, the large canceling terms occurring in F12 analytical formulas are rigorously dealt with, but by way of a new method, directly applicable to the complex plane. Taylor series expansions are employed to enter complex areas outside the domain of validity of power series analytical formulas. The proposed algorithm, however, becomes unstable in general when |a|, |b|, |c| are moderate or large. As a physical application, the calculation of the wave functions of the analytical Pöschl-Teller-Ginocchio potential involving F12 evaluations is considered. Program summaryProgram title: hyp_2F1, PTG_wf Catalogue identifier: AEAE_v1_0 Program summary URL:http://cpc.cs.qub.ac.uk/summaries/AEAE_v1_0.html Program obtainable from: CPC Program Library, Queen's University, Belfast, N. Ireland Licensing provisions: Standard CPC licence, http://cpc.cs.qub.ac.uk/licence/licence.html No. of lines in distributed program, including test data, etc.: 6839 No. of bytes in distributed program, including test data, etc.: 63 334 Distribution format: tar.gz Programming language: C++, Fortran 90 Computer: Intel i686 Operating system: Linux, Windows Word size: 64 bits Classification: 4.7 Nature of problem: The Gauss hypergeometric function F12, with all its parameters complex, is uniquely calculated in the frame of transformation theory with power series summations, thus providing a very fast algorithm. The evaluation of the wave functions of the analytical Pöschl-Teller-Ginocchio potential is treated as a physical application. Solution method: The Gauss hypergeometric function F12 verifies linear transformation formulas allowing consideration of arguments of a small modulus which then can be handled by a power series. They, however, give rise to indeterminate or numerically unstable cases, when b-a and c-a-b are equal or close to integers. They are properly dealt with through analytical manipulations of the Lanczos expression providing the Gamma function. The remaining zones of the complex plane uncovered by transformation formulas are dealt with Taylor expansions of the F12 function around complex points where linear transformations can be employed. The Pöschl-Teller-Ginocchio potential wave functions are calculated directly with F12 evaluations. Restrictions: The algorithm provides full numerical precision in almost all cases for |a|, |b|, and |c| of the order of one or smaller, but starts to be less precise or unstable when they increase, especially through a, b, and c imaginary parts. While it is possible to run the code for moderate or large |a|, |b|, and |c| and obtain satisfactory results for some specified values, the code is very likely to be unstable in this regime. Unusual features: Two different codes, one for the hypergeometric function and one for the Pöschl-Teller-Ginocchio potential wave functions, are provided in C++ and Fortran 90 versions. Running time: 20,000 F12 function evaluations take an average of one second.

  19. Magnetic expansion of Nekrasov theory: The SU(2) pure gauge theory

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    He Wei; Miao Yangang

    It is recently claimed by Nekrasov and Shatashvili that the N=2 gauge theories in the {Omega} background with {epsilon}{sub 1}=({h_bar}/2{pi}), {epsilon}{sub 2}=0 are related to the quantization of certain algebraic integrable systems. We study the special case of SU(2) pure gauge theory; the corresponding integrable model is the A{sub 1} Toda model, which reduces to the sine-Gordon quantum mechanics problem. The quantum effects can be expressed as the WKB series written analytically in terms of hypergeometric functions. We obtain the magnetic and dyonic expansions of the Nekrasov theory by studying the property of hypergeometric functions in the magnetic and dyonicmore » regions on the moduli space. We also discuss the relation between the electric-magnetic duality of gauge theory and the action-action duality of the integrable system.« less

  20. f1: a code to compute Appell's F1 hypergeometric function

    NASA Astrophysics Data System (ADS)

    Colavecchia, F. D.; Gasaneo, G.

    2004-02-01

    In this work we present the FORTRAN code to compute the hypergeometric function F1( α, β1, β2, γ, x, y) of Appell. The program can compute the F1 function for real values of the variables { x, y}, and complex values of the parameters { α, β1, β2, γ}. The code uses different strategies to calculate the function according to the ideas outlined in [F.D. Colavecchia et al., Comput. Phys. Comm. 138 (1) (2001) 29]. Program summaryTitle of the program: f1 Catalogue identifier: ADSJ Program summary URL:http://cpc.cs.qub.ac.uk/summaries/ADSJ Program obtainable from: CPC Program Library, Queen's University of Belfast, N. Ireland Licensing provisions: none Computers: PC compatibles, SGI Origin2∗ Operating system under which the program has been tested: Linux, IRIX Programming language used: Fortran 90 Memory required to execute with typical data: 4 kbytes No. of bits in a word: 32 No. of bytes in distributed program, including test data, etc.: 52 325 Distribution format: tar gzip file External subprograms used: Numerical Recipes hypgeo [W.H. Press et al., Numerical Recipes in Fortran 77, Cambridge Univ. Press, 1996] or chyp routine of R.C. Forrey [J. Comput. Phys. 137 (1997) 79], rkf45 [L.F. Shampine and H.H. Watts, Rep. SAND76-0585, 1976]. Keywords: Numerical methods, special functions, hypergeometric functions, Appell functions, Gauss function Nature of the physical problem: Computing the Appell F1 function is relevant in atomic collisions and elementary particle physics. It is usually the result of multidimensional integrals involving Coulomb continuum states. Method of solution: The F1 function has a convergent-series definition for | x|<1 and | y|<1, and several analytic continuations for other regions of the variable space. The code tests the values of the variables and selects one of the precedent cases. In the convergence region the program uses the series definition near the origin of coordinates, and a numerical integration of the third-order differential parametric equation for the F1 function. Also detects several special cases according to the values of the parameters. Restrictions on the complexity of the problem: The code is restricted to real values of the variables { x, y}. Also, there are some parameter domains that are not covered. These usually imply differences between integer parameters that lead to negative integer arguments of Gamma functions. Typical running time: Depends basically on the variables. The computation of Table 4 of [F.D. Colavecchia et al., Comput. Phys. Comm. 138 (1) (2001) 29] (64 functions) requires approximately 0.33 s in a Athlon 900 MHz processor.

  1. HYPERSAMP - HYPERGEOMETRIC ATTRIBUTE SAMPLING SYSTEM BASED ON RISK AND FRACTION DEFECTIVE

    NASA Technical Reports Server (NTRS)

    De, Salvo L. J.

    1994-01-01

    HYPERSAMP is a demonstration of an attribute sampling system developed to determine the minimum sample size required for any preselected value for consumer's risk and fraction of nonconforming. This statistical method can be used in place of MIL-STD-105E sampling plans when a minimum sample size is desirable, such as when tests are destructive or expensive. HYPERSAMP utilizes the Hypergeometric Distribution and can be used for any fraction nonconforming. The program employs an iterative technique that circumvents the obstacle presented by the factorial of a non-whole number. HYPERSAMP provides the required Hypergeometric sample size for any equivalent real number of nonconformances in the lot or batch under evaluation. Many currently used sampling systems, such as the MIL-STD-105E, utilize the Binomial or the Poisson equations as an estimate of the Hypergeometric when performing inspection by attributes. However, this is primarily because of the difficulty in calculation of the factorials required by the Hypergeometric. Sampling plans based on the Binomial or Poisson equations will result in the maximum sample size possible with the Hypergeometric. The difference in the sample sizes between the Poisson or Binomial and the Hypergeometric can be significant. For example, a lot size of 400 devices with an error rate of 1.0% and a confidence of 99% would require a sample size of 400 (all units would need to be inspected) for the Binomial sampling plan and only 273 for a Hypergeometric sampling plan. The Hypergeometric results in a savings of 127 units, a significant reduction in the required sample size. HYPERSAMP is a demonstration program and is limited to sampling plans with zero defectives in the sample (acceptance number of zero). Since it is only a demonstration program, the sample size determination is limited to sample sizes of 1500 or less. The Hypergeometric Attribute Sampling System demonstration code is a spreadsheet program written for IBM PC compatible computers running DOS and Lotus 1-2-3 or Quattro Pro. This program is distributed on a 5.25 inch 360K MS-DOS format diskette, and the program price includes documentation. This statistical method was developed in 1992.

  2. Diffraction Theory for Polygonal Apertures

    DTIC Science & Technology

    1988-07-01

    and utilized oblate spheroidal vector wave functions, and Nomura and Katsura (1955), who employed an expansion of the hypergeometric polynomial ...21 2 - 1 4, 2 - 1 3 4k3 - 3k 8 3 - 4 factor relates directly to the orthogonality relations for the Chebyshev polynomials given below. I T(Q TieQdk...convergence. 3.1.2.2 Gaussian Illuminated Corner In the sample calculation just discussed we discovered some of the basic characteristics of the GBE

  3. Multichannel conformal blocks for scattering amplitudes

    NASA Astrophysics Data System (ADS)

    Belitsky, A. V.

    2018-05-01

    By performing resummation of small fermion-antifermion pairs within the pentagon form factor program to scattering amplitudes in planar N = 4 superYang-Mills theory, we construct multichannel conformal blocks within the flux-tube picture for N-sided NMHV polygons. This procedure is equivalent to summation of descendants of conformal primaries in the OPE framework. The resulting conformal partial waves are determined by multivariable hypergeometric series of Lauricella-Saran type.

  4. Representation of the Coulomb Matrix Elements by Means of Appell Hypergeometric Function F 2

    NASA Astrophysics Data System (ADS)

    Bentalha, Zine el abidine

    2018-06-01

    Exact analytical representation for the Coulomb matrix elements by means of Appell's double series F 2 is derived. The finite sum obtained for the Appell function F 2 allows us to evaluate explicitly the matrix elements of the two-body Coulomb interaction in the lowest Landau level. An application requiring the matrix elements of Coulomb potential in quantum Hall effect regime is presented.

  5. Inequalities of extended beta and extended hypergeometric functions.

    PubMed

    Mondal, Saiful R

    2017-01-01

    We study the log-convexity of the extended beta functions. As a consequence, we establish Turán-type inequalities. The monotonicity, log-convexity, log-concavity of extended hypergeometric functions are deduced by using the inequalities on extended beta functions. The particular cases of those results also give the Turán-type inequalities for extended confluent and extended Gaussian hypergeometric functions. Some reverses of Turán-type inequalities are also derived.

  6. Complex Analysis and Related Topics. Proceedings of the Conference held in Amsterdam on 27 - 29 January 1993

    DTIC Science & Technology

    1993-01-29

    Bessel functions and Jacobi functions (cf. [2]). References [1] R. Askey & J. Wilson, Some basic hypergeometric orthogonal polynomials that gen- eralize...1; 1] can be treated as a part of general theory of T-systems (see [81 for that theory and [7] for some aspects of the Chebyshev polynomials theory...waves in elastic media. It has been known for some time that these multiplicities sometimes occur for topological reasons and are present generically , see

  7. Tensor products of U{sub q}{sup Prime }sl-caret(2)-modules and the big q{sup 2}-Jacobi function transform

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    Gade, R. M.

    2013-01-15

    Four tensor products of evaluation modules of the quantum affine algebra U{sub q}{sup Prime }sl-caret(2) obtained from the negative and positive series, the complementary and the strange series representations are investigated. Linear operators R(z) satisfying the intertwining property on finite linear combinations of the canonical basis elements of the tensor products are described in terms of two sets of infinite sums {l_brace}{tau}{sup (r,t)}{r_brace}{sub r,t Element-Of Z{sub {>=}{sub 0}}} and {l_brace}{tau}{sup (r,t)}{r_brace}{sub r,t Element-Of Z{sub {>=}{sub 0}}} involving big q{sup 2}-Jacobi functions or related nonterminating basic hypergeometric series. Inhomogeneous recurrence relations can be derived for both sets. Evaluations of the simplestmore » sums provide the corresponding initial conditions. For the first set of sums the relations entail a big q{sup 2}-Jacobi function transform pair. An integral decomposition is obtained for the sum {tau}{sup (r,t)}. A partial description of the relation between the decompositions of the tensor products with respect to U{sub q}sl(2) or with respect to its complement in U{sub q}{sup Prime }sl-caret(2) can be formulated in terms of Askey-Wilson function transforms. For a particular combination of two tensor products, the occurrence of proper U{sub q}{sup Prime }sl-caret(2)-submodules is discussed.« less

  8. RATIONAL APPROXIMATIONS TO GENERALIZED HYPERGEOMETRIC FUNCTIONS.

    DTIC Science & Technology

    Under weak restrictions on the various free parameters, general theorems for rational representations of the generalized hypergeometric functions...and certain Meijer G-functions are developed. Upon specialization, these theorems yield a sequency of rational approximations which converge to the

  9. Distinguishing between Binomial, Hypergeometric and Negative Binomial Distributions

    ERIC Educational Resources Information Center

    Wroughton, Jacqueline; Cole, Tarah

    2013-01-01

    Recognizing the differences between three discrete distributions (Binomial, Hypergeometric and Negative Binomial) can be challenging for students. We present an activity designed to help students differentiate among these distributions. In addition, we present assessment results in the form of pre- and post-tests that were designed to assess the…

  10. Umbral Calculus and Holonomic Modules in Positive Characteristic

    NASA Astrophysics Data System (ADS)

    Kochubei, Anatoly N.

    2006-03-01

    In the framework of analysis over local fields of positive characteristic, we develop algebraic tools for introducing and investigating various polynomial systems. In this survey paper we describe a function field version of umbral calculus developed on the basis of a relation of binomial type satisfied by the Carlitz polynomials. We consider modules over the Weyl-Carlitz ring, a function field counterpart of the Weyl algebra. It is shown that some basic objects of function field arithmetic, like the Carlitz module, Thakur's hypergeometric polynomials, and analogs of binomial coefficients arising in the positive characteristic version of umbral calculus, generate holonomic modules.

  11. Modular forms, Schwarzian conditions, and symmetries of differential equations in physics

    NASA Astrophysics Data System (ADS)

    Abdelaziz, Y.; Maillard, J.-M.

    2017-05-01

    We give examples of infinite order rational transformations that leave linear differential equations covariant. These examples are non-trivial yet simple enough illustrations of exact representations of the renormalization group. We first illustrate covariance properties on order-two linear differential operators associated with identities relating the same {}_2F1 hypergeometric function with different rational pullbacks. These rational transformations are solutions of a differentially algebraic equation that already emerged in a paper by Casale on the Galoisian envelopes. We provide two new and more general results of the previous covariance by rational functions: a new Heun function example and a higher genus {}_2F1 hypergeometric function example. We then focus on identities relating the same {}_2F1 hypergeometric function with two different algebraic pullback transformations: such remarkable identities correspond to modular forms, the algebraic transformations being solution of another differentially algebraic Schwarzian equation that also emerged in Casale’s paper. Further, we show that the first differentially algebraic equation can be seen as a subcase of the last Schwarzian differential condition, the restriction corresponding to a factorization condition of some associated order-two linear differential operator. Finally, we also explore generalizations of these results, for instance, to {}_3F2 , hypergeometric functions, and show that one just reduces to the previous {}_2F1 cases through a Clausen identity. The question of the reduction of these Schwarzian conditions to modular correspondences remains an open question. In a _2F1 hypergeometric framework the Schwarzian condition encapsulates all the modular forms and modular equations of the theory of elliptic curves, but these two conditions are actually richer than elliptic curves or {}_2F1 hypergeometric functions, as can be seen on the Heun and higher genus example. This work is a strong incentive to develop more differentially algebraic symmetry analysis in physics.

  12. Hypergeometric Gaussian beam and its propagation in turbulence

    NASA Astrophysics Data System (ADS)

    Eyyuboğlu, Halil Tanyer; Cai, Yangjian

    2012-10-01

    We study propagation characteristics of hypergeometric Gaussian beam in turbulence. In this context, we formulate the receiver plane intensity using extended Huygens-Fresnel integral. From the graphical results, it is seen that, after propagation, hypergeometric Gaussian will in general assume the shape of a dark hollow beam at topological charges other than zero. Increasing values of topological charge will make the beam broader with steeper walls. On the other hand, higher values of hollowness parameter will contract into a narrower shape. Raising the topological charge or the hollowness parameter individually will cause outer rings to appear. Both increased levels of turbulence and longer propagation distances will accelerate the beam evolution and help reach the final Gaussian shape sooner. At lower wavelengths, there will be less beam spreading.

  13. Perturbations of Jacobi polynomials and piecewise hypergeometric orthogonal systems

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    Neretin, Yu A

    2006-12-31

    A family of non-complete orthogonal systems of functions on the ray [0,{infinity}] depending on three real parameters {alpha}, {beta}, {theta} is constructed. The elements of this system are piecewise hypergeometric functions with singularity at x=1. For {theta}=0 these functions vanish on [1,{infinity}) and the system is reduced to the Jacobi polynomials P{sub n}{sup {alpha}}{sup ,{beta}} on the interval [0,1]. In the general case the functions constructed can be regarded as an interpretation of the expressions P{sub n+{theta}}{sup {alpha}}{sup ,{beta}}. They are eigenfunctions of an exotic Sturm-Liouville boundary-value problem for the hypergeometric differential operator. The spectral measure for this problem ismore » found.« less

  14. Elementary functions in thermodynamic Bethe ansatz

    NASA Astrophysics Data System (ADS)

    Suzuki, J.

    2015-05-01

    Some years ago, Fendley found an explicit solution to the thermodynamic Bethe ansatz (TBA) equation for an N=2 supersymmetric theory in 2D with a specific F-term. Motivated by this, we seek explicit solutions for other super-potential cases utilizing the idea from the ODE/IM correspondence. We find that the TBA equations, corresponding to a wider class of super-potentials, admit solutions in terms of elementary functions such as modified Bessel functions and confluent hyper-geometric series. Based on talks given at ‘Infinite Analysis 2014’ (Tokyo, 2014) and at ‘Integrable lattice models and quantum field theories’ (Bad Honnef, 2014).

  15. Production of confluent hypergeometric beam by computer-generated hologram

    NASA Astrophysics Data System (ADS)

    Chen, Jiannong; Wang, Gang; Xu, Qinfeng

    2011-02-01

    Because of their spiral wave front, phase singularity, zero-intensity center and orbital angular momentum, dark hollow vortex beams have been found many applications in the field of atom optics such as atom cooling, atom transport and atom guiding. In this paper, a method for generating confluent hypergeometric beam by computer-generated hologram displayed on the spatial light modulator is presented. The hologram is formed by interference between a single ring Laguerre-Gaussian beam and a plane wave. The far-field Fraunhofer diffraction of this optical field transmitted from the hologram is the confluent hypergeometric beam. This beam is a circular symmetric beam which has a phase singularity, spiral wave front, zero-intensity center, and intrinsic orbital angular momentum. It is a new dark hollow vortex beam.

  16. Hypergeometric type operators and their supersymmetric partners

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    Cotfas, Nicolae; Cotfas, Liviu Adrian

    2011-05-15

    The generalization of the factorization method performed by Mielnik [J. Math. Phys. 25, 3387 (1984)] opened new ways to generate exactly solvable potentials in quantum mechanics. We present an application of Mielnik's method to hypergeometric type operators. It is based on some solvable Riccati equations and leads to a unitary description of the quantum systems exactly solvable in terms of orthogonal polynomials or associated special functions.

  17. Exact e-e (exchange) correlations of 2-D quantum dots in magnetic field: Size extensive N = 3 , 4 , … , ‧ n ‧ -electron systems via multi-pole expansion

    NASA Astrophysics Data System (ADS)

    Aggarwal, Priyanka; Sharma, Shivalika; Singh, Sunny; Kaur, Harsimran; Hazra, Ram Kuntal

    2017-04-01

    Inclusion of coulomb interaction emerges with the complexity of either convergence of integrals or separation of variables of Schrödinger equations. For an N-electron system, interaction terms grow by N(N-1)/2 factors. Therefore, 2-e system stands as fundamental basic unit for generalized N-e systems. For the first time, we have evaluated e-e correlations in very simple and absolutely terminating finite summed hypergeometric series for 2-D double carrier parabolic quantum dot in both zero and arbitrary non-zero magnetic field (symmetric gauge) and have appraised these integrals in variational methods. The competitive role among confinement strength, magnetic field, mass of the carrier and dielectric constant of the medium on energy level diagram, level-spacing statistics, heat capacities (Cv at 1 K) and magnetization (T ∼ (0-1)K) is studied on systems spanning over wide range of materials (GaAs,Ge,CdS,SiO2 and He, etc). We have also constructed an exact theory for generalized correlated N-e 2-D quantum dots via multi-pole expansion but for the sake of compactness of the article we refrain from data.

  18. Tree-level gluon amplitudes on the celestial sphere

    NASA Astrophysics Data System (ADS)

    Schreiber, Anders Ø.; Volovich, Anastasia; Zlotnikov, Michael

    2018-06-01

    Pasterski, Shao and Strominger have recently proposed that massless scattering amplitudes can be mapped to correlators on the celestial sphere at infinity via a Mellin transform. We apply this prescription to arbitrary n-point tree-level gluon amplitudes. The Mellin transforms of MHV amplitudes are given by generalized hypergeometric functions on the Grassmannian Gr (4 , n), while generic non-MHV amplitudes are given by more complicated Gelfand A-hypergeometric functions.

  19. HYPERDIRE-HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Lauricella function FC of three variables

    NASA Astrophysics Data System (ADS)

    Bytev, Vladimir V.; Kniehl, Bernd A.

    2016-09-01

    We present a further extension of the HYPERDIRE project, which is devoted to the creation of a set of Mathematica-based program packages for manipulations with Horn-type hypergeometric functions on the basis of differential equations. Specifically, we present the implementation of the differential reduction for the Lauricella function FC of three variables. Catalogue identifier: AEPP_v4_0 Program summary URL:http://cpc.cs.qub.ac.uk/summaries/AEPP_v4_0.html Program obtainable from: CPC Program Library, Queen's University, Belfast, N. Ireland Licensing provisions: GNU General Public License, version 3 No. of lines in distributed program, including test data, etc.: 243461 No. of bytes in distributed program, including test data, etc.: 61610782 Distribution format: tar.gz Programming language: Mathematica. Computer: All computers running Mathematica. Operating system: Operating systems running Mathematica. Classification: 4.4. Does the new version supersede the previous version?: No, it significantly extends the previous version. Nature of problem: Reduction of hypergeometric function FC of three variables to a set of basis functions. Solution method: Differential reduction. Reasons for new version: The extension package allows the user to handle the Lauricella function FC of three variables. Summary of revisions: The previous version goes unchanged. Running time: Depends on the complexity of the problem.

  20. Construction of normal-regular decisions of Bessel typed special system

    NASA Astrophysics Data System (ADS)

    Tasmambetov, Zhaksylyk N.; Talipova, Meiramgul Zh.

    2017-09-01

    Studying a special system of differential equations in the separate production of the second order is solved by the degenerate hypergeometric function reducing to the Bessel functions of two variables. To construct a solution of this system near regular and irregular singularities, we use the method of Frobenius-Latysheva applying the concepts of rank and antirank. There is proved the basic theorem that establishes the existence of four linearly independent solutions of studying system type of Bessel. To prove the existence of normal-regular solutions we establish necessary conditions for the existence of such solutions. The existence and convergence of a normally regular solution are shown using the notion of rank and antirank.

  1. The elastic field induced by a hemispherical inclusion in the half-space

    NASA Astrophysics Data System (ADS)

    Wu, Linzhi

    2003-06-01

    The elastic field induced by a hekispherical inclusion with uniform eigenstrains in a semi-infinite elastic medium is solved by using the Green's function method and series expansion technique. The exact solutions are presented for the displacement and stress fields which can be expressed by complete elliptic integrals of the first, second, and third kinds and hypergeometric functions. The present method can be used to determine the corresponding elastic fields when the shape of the inclusion is a spherical crown or a spherical segment. Finally, numerical results are given for the displacement and stress fields along the axis of symmetry ( x 3-axis).

  2. Goodness-of-fit tests for open capture-recapture models

    USGS Publications Warehouse

    Pollock, K.H.; Hines, J.E.; Nichols, J.D.

    1985-01-01

    General goodness-of-fit tests for the Jolly-Seber model are proposed. These tests are based on conditional arguments using minimal sufficient statistics. The tests are shown to be of simple hypergeometric form so that a series of independent contingency table chi-square tests can be performed. The relationship of these tests to other proposed tests is discussed. This is followed by a simulation study of the power of the tests to detect departures from the assumptions of the Jolly-Seber model. Some meadow vole capture-recapture data are used to illustrate the testing procedure which has been implemented in a computer program available from the authors.

  3. A Unified Approach to Electromagnetic Wave Propagation in Turbulence and the Evaluation of Multiparameter Integrals

    DTIC Science & Technology

    1988-07-01

    The solutions in some cases have been made more general , as in the papers of Fried2 and Tyler3 by defining normnalized quantities; the tabular and... generalized hypergeometric functions. For that case, he shows that the integral, which can be transformed into a Mellin- Barnes integral, can be expressed as a...finite sum of generalized hypergeometric functions which are equivalent to a Meijer’s G-function. He briefly considers the case in which the

  4. Derivatives of Horn hypergeometric functions with respect to their parameters

    NASA Astrophysics Data System (ADS)

    Ancarani, L. U.; Del Punta, J. A.; Gasaneo, G.

    2017-07-01

    The derivatives of eight Horn hypergeometric functions [four Appell F1, F2, F3, and F4, and four (degenerate) confluent Φ1, Φ2, Ψ1, and Ξ1] with respect to their parameters are studied. The first derivatives are expressed, systematically, as triple infinite summations or, alternatively, as single summations of two-variable Kampé de Fériet functions. Taking advantage of previously established expressions for the derivative of the confluent or Gaussian hypergeometric functions, the generalization to the nth derivative of Horn's functions with respect to their parameters is rather straightforward in most cases; the results are expressed in terms of n + 2 infinite summations. Following a similar procedure, mixed derivatives are also treated. An illustration of the usefulness of the derivatives of F1, with respect to the first and third parameters, is given with the study of autoionization of atoms occurring as part of a post-collisional process. Their evaluation setting the Coulomb charge to zero provides the coefficients of a Born-like expansion of the interaction.

  5. Hollow sinh-Gaussian beams and their paraxial properties.

    PubMed

    Sun, Qiongge; Zhou, Keya; Fang, Guangyu; Zhang, Guoqiang; Liu, Zhengjun; Liu, Shutian

    2012-04-23

    A new mathematical model of dark-hollow beams, described as hollow sinh-Gaussian (HsG) beams, has been introduced. The intensity distributions of HsG beams are characterized by a single bright ring along the propagation whose size is determined by the order of beams; the shape of the ring can be controlled by beam width and this leads to the elliptical HsG beams. Propagation characteristics of HsG beams through an ABCD optical system have been researched, they can be regarded as superposition of a series of Hypergeometric-Gaussian (HyGG) beams. As a numerical example, the propagation characteristics of HsG beams in free space have been demonstrated graphically. © 2012 Optical Society of America

  6. A scan statistic for binary outcome based on hypergeometric probability model, with an application to detecting spatial clusters of Japanese encephalitis.

    PubMed

    Zhao, Xing; Zhou, Xiao-Hua; Feng, Zijian; Guo, Pengfei; He, Hongyan; Zhang, Tao; Duan, Lei; Li, Xiaosong

    2013-01-01

    As a useful tool for geographical cluster detection of events, the spatial scan statistic is widely applied in many fields and plays an increasingly important role. The classic version of the spatial scan statistic for the binary outcome is developed by Kulldorff, based on the Bernoulli or the Poisson probability model. In this paper, we apply the Hypergeometric probability model to construct the likelihood function under the null hypothesis. Compared with existing methods, the likelihood function under the null hypothesis is an alternative and indirect method to identify the potential cluster, and the test statistic is the extreme value of the likelihood function. Similar with Kulldorff's methods, we adopt Monte Carlo test for the test of significance. Both methods are applied for detecting spatial clusters of Japanese encephalitis in Sichuan province, China, in 2009, and the detected clusters are identical. Through a simulation to independent benchmark data, it is indicated that the test statistic based on the Hypergeometric model outweighs Kulldorff's statistics for clusters of high population density or large size; otherwise Kulldorff's statistics are superior.

  7. Complete N-point superstring disk amplitude II. Amplitude and hypergeometric function structure

    NASA Astrophysics Data System (ADS)

    Mafra, Carlos R.; Schlotterer, Oliver; Stieberger, Stephan

    2013-08-01

    Using the pure spinor formalism in part I (Mafra et al., preprint [1]) we compute the complete tree-level amplitude of N massless open strings and find a striking simple and compact form in terms of minimal building blocks: the full N-point amplitude is expressed by a sum over (N-3)! Yang-Mills partial subamplitudes each multiplying a multiple Gaussian hypergeometric function. While the former capture the space-time kinematics of the amplitude the latter encode the string effects. This result disguises a lot of structure linking aspects of gauge amplitudes as color and kinematics with properties of generalized Euler integrals. In this part II the structure of the multiple hypergeometric functions is analyzed in detail: their relations to monodromy equations, their minimal basis structure, and methods to determine their poles and transcendentality properties are proposed. Finally, a Gröbner basis analysis provides independent sets of rational functions in the Euler integrals. In contrast to [1] here we use momenta redefined by a factor of i. As a consequence the signs of the kinematic invariants are flipped, e.g. |→|.

  8. Torus Knot Polynomials and Susy Wilson Loops

    NASA Astrophysics Data System (ADS)

    Giasemidis, Georgios; Tierz, Miguel

    2014-12-01

    We give, using an explicit expression obtained in (Jones V, Ann Math 126:335, 1987), a basic hypergeometric representation of the HOMFLY polynomial of ( n, m) torus knots, and present a number of equivalent expressions, all related by Heine's transformations. Using this result, the symmetry and the leading polynomial at large N are explicit. We show the latter to be the Wilson loop of 2d Yang-Mills theory on the plane. In addition, after taking one winding to infinity, it becomes the Wilson loop in the zero instanton sector of the 2d Yang-Mills theory, which is known to give averages of Wilson loops in = 4 SYM theory. We also give, using matrix models, an interpretation of the HOMFLY polynomial and the corresponding Jones-Rosso representation in terms of q-harmonic oscillators.

  9. A closed form of a kurtosis parameter of a hypergeometric-Gaussian type-II beam

    NASA Astrophysics Data System (ADS)

    F, Khannous; A, A. A. Ebrahim; A, Belafhal

    2016-04-01

    Based on the irradiance moment definition and the analytical expression of waveform propagation for hypergeometric-Gaussian type-II beams passing through an ABCD system, the kurtosis parameter is derived analytically and illustrated numerically. The kurtosis parameters of the Gaussian beam, modified Bessel modulated Gaussian beam with quadrature radial and elegant Laguerre-Gaussian beams are obtained by treating them as special cases of the present treatment. The obtained results show that the kurtosis parameter depends on the change of the beam order m and the hollowness parameter p, such as its decrease with increasing m and increase with increasing p.

  10. DOE Office of Scientific and Technical Information (OSTI.GOV)

    Choun, Yoon Seok, E-mail: ychoun@gmail.com

    The Heun function generalizes all well-known special functions such as Spheroidal Wave, Lame, Mathieu, and hypergeometric {sub 2}F{sub 1}, {sub 1}F{sub 1} and {sub 0}F{sub 1} functions. Heun functions are applicable to diverse areas such as theory of black holes, lattice systems in statistical mechanics, solution of the Schrödinger equation of quantum mechanics, and addition of three quantum spins. In this paper I will apply three term recurrence formula (Y.S. Choun, (arXiv:1303.0806), 2013) to the power series expansion in closed forms of Heun function (infinite series and polynomial) including all higher terms of A{sub n}’s. Section 3 contains my analysismore » on applying the power series expansions of Heun function to a recent paper (R.S. Maier, Math. Comp. 33 (2007) 811–843). Due to space restriction final equations for the 192 Heun functions are not included in the paper, but feel free to contact me for the final solutions. Section 4 contains two additional examples using the power series expansions of Heun function. This paper is 3rd out of 10 in series “Special functions and three term recurrence formula (3TRF)”. See Section 5 for all the papers in the series. The previous paper in series deals with three term recurrence formula (3TRF). The next paper in the series describes the integral forms of Heun function and its asymptotic behaviors analytically. -- Highlights: •Power series expansion for infinite series of Heun function using 3 term rec. form. •Power series for polynomial which makes B{sub n} term terminated of Heun function. •Applicable to areas such as the Teukolsky equation in Kerr–Newman–de Sitter geometries.« less

  11. Laplace approximation for Bessel functions of matrix argument

    NASA Astrophysics Data System (ADS)

    Butler, Ronald W.; Wood, Andrew T. A.

    2003-06-01

    We derive Laplace approximations to three functions of matrix argument which arise in statistics and elsewhere: matrix Bessel A[nu]; matrix Bessel B[nu]; and the type II confluent hypergeometric function of matrix argument, [Psi]. We examine the theoretical and numerical properties of the approximations. On the theoretical side, it is shown that the Laplace approximations to A[nu], B[nu] and [Psi] given here, together with the Laplace approximations to the matrix argument functions 1F1 and 2F1 presented in Butler and Wood (Laplace approximations to hyper-geometric functions with matrix argument, Ann. Statist. (2002)), satisfy all the important confluence relations and symmetry relations enjoyed by the original functions.

  12. Hypergeometric Equation in Modeling Relativistic Isotropic Sphere

    NASA Astrophysics Data System (ADS)

    Thirukkanesh, S.; Ragel, F. C.

    2014-04-01

    We study the Einstein system of equations in static spherically symmetric spacetimes. We obtained classes of exact solutions to the Einstein system by transforming the condition for pressure isotropy to a hypergeometric equation choosing a rational form for one of the gravitational potentials. The solutions are given in simple form that is a desirable requisite to study the behavior of relativistic compact objects in detail. A physical analysis indicate that our models satisfy all the fundamental requirements of realistic star and match smoothly with the exterior Schwarzschild metric. The derived masses and densities are consistent with the previously reported experimental and theoretical studies describing strange stars. The models satisfy the standard energy conditions required by normal matter.

  13. MAGNETO-ACOUSTIC WAVES IN A GRAVITATIONALLY STRATIFIED MAGNETIZED PLASMA: EIGEN-SOLUTIONS AND THEIR APPLICATIONS TO THE SOLAR ATMOSPHERE

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    Mather, J. F.; Erdélyi, R., E-mail: robertus@sheffield.ac.uk

    2016-05-10

    Magneto-acoustic gravity (MAG) waves have been studied intensively in the context of astrophysical plasmas. There are three popular choices of analytic modeling using a Cartesian coordinate system: a magnetic field parallel, perpendicular, or at an angle to the gravitational field. Here, we study a gravitationally stratified plasma embedded in a parallel, so called vertical, magnetic field. We find a governing equation for the auxiliary quantity Θ = p {sub 1}/ ρ {sub 0}, and find solutions in terms of hypergeometric functions. With the convenient relationship between Θ and the vertical velocity component, v {sub z}, we derive the solution formore » v{sub z}. We show that the four linearly independent functions for v{sub z} can also be cast as single hypergeometric functions, rather than the Frobenius series derived by Leroy and Schwartz. We are then able to analyze a case of approximation for a one-layer solution, taking the small wavelength limit. Motivated by solar atmospheric applications, we finally commence study of the eigenmodes of perturbations for a two-layer model using our solutions, solving the dispersion relation numerically. We show that, for a transition between a photospheric and chromospheric plasma embedded in a vertical magnetic field, modes exist that are between the observationally widely investigated three and five minute oscillation periods, interpreted as solar global oscillations in the lower solar atmosphere . It is also shown that, when the density contrast between the layers is large (e.g., applied to photosphere/chromosphere-corona), the global eigenmodes are practically a superposition of the same as in each of the separate one-layer systems.« less

  14. Ince's limits for confluent and double-confluent Heun equations

    NASA Astrophysics Data System (ADS)

    Bonorino Figueiredo, B. D.

    2005-11-01

    We find pairs of solutions to a differential equation which is obtained as a special limit of a generalized spheroidal wave equation (this is also known as confluent Heun equation). One solution in each pair is given by a series of hypergeometric functions and converges for any finite value of the independent variable z, while the other is given by a series of modified Bessel functions and converges for ∣z∣>∣z0∣, where z0 denotes a regular singularity. For short, the preceding limit is called Ince's limit after Ince who have used the same procedure to get the Mathieu equations from the Whittaker-Hill ones. We find as well that, when z0 tends to zero, the Ince limit of the generalized spheroidal wave equation turns out to be the Ince limit of a double-confluent Heun equation, for which solutions are provided. Finally, we show that the Schrödinger equation for inverse fourth- and sixth-power potentials reduces to peculiar cases of the double-confluent Heun equation and its Ince's limit, respectively.

  15. Comment on “Approximate solutions of the Dirac equation for the Rosen-Morse potential including the spin-orbit centrifugal term” [J. Math. Phys. 51, 023525 (2010)

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    Ghoumaid, A.; Benamira, F.; Guechi, L.

    2016-02-15

    It is shown that the application of the Nikiforov-Uvarov method by Ikhdair for solving the Dirac equation with the radial Rosen-Morse potential plus the spin-orbit centrifugal term is inadequate because the required conditions are not satisfied. The energy spectra given is incorrect and the wave functions are not physically acceptable. We clarify the problem and prove that the spinor wave functions are expressed in terms of the generalized hypergeometric functions {sub 2}F{sub 1}(a, b, c; z). The energy eigenvalues for the bound states are given by the solution of a transcendental equation involving the hypergeometric function.

  16. On square-integrability of solutions of the stationary Schrödinger equation for the quantum harmonic oscillator in two dimensional constant curvature spaces

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    Noguera, Norman, E-mail: norman.noguera@ucr.ac.cr; Rózga, Krzysztof, E-mail: krzysztof.rozga@upr.edu

    In this work, one provides a justification of the condition that is usually imposed on the parameters of the hypergeometric equation, related to the solutions of the stationary Schrödinger equation for the harmonic oscillator in two-dimensional constant curvature spaces, in order to determine the solutions which are square-integrable. One proves that in case of negative curvature, it is a necessary condition of square integrability and in case of positive curvature, a necessary condition of regularity. The proof is based on the analytic continuation formulas for the hypergeometric function. It is observed also that the same is true in case ofmore » a slightly more general potential than the one for harmonic oscillator.« less

  17. Propagation of hypergeometric Gaussian beams in strongly nonlocal nonlinear media

    NASA Astrophysics Data System (ADS)

    Tang, Bin; Bian, Lirong; Zhou, Xin; Chen, Kai

    2018-01-01

    Optical vortex beams have attracted lots of interest due to its potential application in image processing, optical trapping and optical communications, etc. In this work, we theoretically and numerically investigated the propagation properties of hypergeometric Gaussian (HyGG) beams in strongly nonlocal nonlinear media. Based on the Snyder-Mitchell model, analytical expressions for propagation of the HyGG beams in strongly nonlocal nonlinear media were obtained. The influence of input power and optical parameters on the evolutions of the beam width and radius of curvature is illustrated, respectively. The results show that the beam width and radius of curvature of the HyGG beams remain invariant, like a soliton when the input power is equal to the critical power. Otherwise, it varies periodically like a breather, which is the result of competition between the beam diffraction and nonlinearity of the medium.

  18. QCD triple Pomeron coupling from string amplitudes

    NASA Astrophysics Data System (ADS)

    Bialas, A.; Navelet, H.; Peschanski, R.

    1998-06-01

    Using the recent solution of the triple Pomeron coupling in the QCD dipole picture as a closed string amplitude with six legs, its analytical form in terms of hypergeometric functions and numerical value are derived.

  19. Electron-pair-production cross section in the tip region of the positron spectrum

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    Sud, K.K.; Sharma, D.K.

    1984-11-01

    The radial integrals for electron-pair production in a point Coulomb potential have been expressed by Sud, Sharma, and Sud in terms of the matrix generalization of the GAMMA function. Two new partial differential equations in photon energy satisfied by the matrix GAMMA function are obtained. We have obtained, on integrating the partial differential equations, accurate radial integrals as a function of photon energy for the pair production by intermediate-energy photons. The cross section in the tip region of the spectrum are calculated for photons of energy 5.0 to 10.0 MeV for /sup 92/U. The new technique results in extensive savingmore » in computer time as the basic radial integrals in terms of the hypergeometric function F/sub 2/ are computed at one photon energy for each pair of partial waves. The results of our calculations are compared with plane-wave Born-approximation results and with the calculations of Dugne and of Deck, Moroi, and Alling.« less

  20. Cancellation of factorials

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    Zudilin, W W

    2001-08-31

    An arithmetical property allowing an improvement of some number-theoretic estimates is studied. Previous results were mostly qualitative. Application of quantitative results of the paper to the class of generalized hypergeometric G-functions extends the set of irrational numbers representable as values of these functions.

  1. Statistics of Delta v magnitude for a trajectory correction maneuver containing deterministic and random components

    NASA Technical Reports Server (NTRS)

    Bollman, W. E.; Chadwick, C.

    1982-01-01

    A number of interplanetary missions now being planned involve placing deterministic maneuvers along the flight path to alter the trajectory. Lee and Boain (1973) examined the statistics of trajectory correction maneuver (TCM) magnitude with no deterministic ('bias') component. The Delta v vector magnitude statistics were generated for several values of random Delta v standard deviations using expansions in terms of infinite hypergeometric series. The present investigation uses a different technique (Monte Carlo simulation) to generate Delta v magnitude statistics for a wider selection of random Delta v standard deviations and also extends the analysis to the case of nonzero deterministic Delta v's. These Delta v magnitude statistics are plotted parametrically. The plots are useful in assisting the analyst in quickly answering questions about the statistics of Delta v magnitude for single TCM's consisting of both a deterministic and a random component. The plots provide quick insight into the nature of the Delta v magnitude distribution for the TCM.

  2. Nonperturbative Quantum Physics from Low-Order Perturbation Theory.

    PubMed

    Mera, Héctor; Pedersen, Thomas G; Nikolić, Branislav K

    2015-10-02

    The Stark effect in hydrogen and the cubic anharmonic oscillator furnish examples of quantum systems where the perturbation results in a certain ionization probability by tunneling processes. Accordingly, the perturbed ground-state energy is shifted and broadened, thus acquiring an imaginary part which is considered to be a paradigm of nonperturbative behavior. Here we demonstrate how the low order coefficients of a divergent perturbation series can be used to obtain excellent approximations to both real and imaginary parts of the perturbed ground state eigenenergy. The key is to use analytic continuation functions with a built-in singularity structure within the complex plane of the coupling constant, which is tailored by means of Bender-Wu dispersion relations. In the examples discussed the analytic continuation functions are Gauss hypergeometric functions, which take as input fourth order perturbation theory and return excellent approximations to the complex perturbed eigenvalue. These functions are Borel consistent and dramatically outperform widely used Padé and Borel-Padé approaches, even for rather large values of the coupling constant.

  3. Technique for evaluation of the strong potential Born approximation for electron capture

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    Sil, N.C.; McGuire, J.H.

    1985-04-01

    A technique is presented for evaluating differential cross sections in the strong potential Born (SPB) approximation. Our final expression is expressed as a finite sum of one-dimensional integrals, expressible as a finite sum of derivatives of hypergeometric functions.

  4. Anisotropic evolution of 5D Friedmann-Robertson-Walker spacetime

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    Middleton, Chad A.; Stanley, Ethan

    2011-10-15

    We examine the time evolution of the five-dimensional Einstein field equations subjected to a flat, anisotropic Robertson-Walker metric, where the 3D and higher-dimensional scale factors are allowed to dynamically evolve at different rates. By adopting equations of state relating the 3D and higher-dimensional pressures to the density, we obtain an exact expression relating the higher-dimensional scale factor to a function of the 3D scale factor. This relation allows us to write the Friedmann-Robertson-Walker field equations exclusively in terms of the 3D scale factor, thus yielding a set of 4D effective Friedmann-Robertson-Walker field equations. We examine the effective field equations inmore » the general case and obtain an exact expression relating a function of the 3D scale factor to the time. This expression involves a hypergeometric function and cannot, in general, be inverted to yield an analytical expression for the 3D scale factor as a function of time. When the hypergeometric function is expanded for small and large arguments, we obtain a generalized treatment of the dynamical compactification scenario of Mohammedi [Phys. Rev. D 65, 104018 (2002)] and the 5D vacuum solution of Chodos and Detweiler [Phys. Rev. D 21, 2167 (1980)], respectively. By expanding the hypergeometric function near a branch point, we obtain the perturbative solution for the 3D scale factor in the small time regime. This solution exhibits accelerated expansion, which, remarkably, is independent of the value of the 4D equation of state parameter w. This early-time epoch of accelerated expansion arises naturally out of the anisotropic evolution of 5D spacetime when the pressure in the extra dimension is negative and offers a possible alternative to scalar field inflationary theory.« less

  5. Evaluation of Fuel Cell Operation and Degradation

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    Williams, Mark; Gemmen, Randall; Richards, George

    The concepts of area specific resistance (ASR) and degradation are developed for different fuel cell operating modes. The concepts of exergetic efficiency and entropy production were applied to ASR and degradation. It is shown that exergetic efficiency is a time-dependent function useful describing the thermal efficiency of a fuel cell and the change in thermal efficiency of a degrading fuel cell. Entropy production was evaluated for the cases of constant voltage operation and constant current operation of the fuel cell for a fuel cell undergoing ohmic degradation. It was discovered that the Gaussian hypergeometric function describes the cumulative entropy andmore » electrical work produced by fuel cells operating at constant voltage. The Gaussian hypergeometric function is found in many applications in modern physics. This paper builds from and is an extension of several papers recently published by the authors in the Journal of The Electrochemical Society (ECS), ECS Transactions, Journal of Power Sources, and the Journal of Fuel Cell Science and Technology.« less

  6. Evaluating Feynman integrals by the hypergeometry

    NASA Astrophysics Data System (ADS)

    Feng, Tai-Fu; Chang, Chao-Hsi; Chen, Jian-Bin; Gu, Zhi-Hua; Zhang, Hai-Bin

    2018-02-01

    The hypergeometric function method naturally provides the analytic expressions of scalar integrals from concerned Feynman diagrams in some connected regions of independent kinematic variables, also presents the systems of homogeneous linear partial differential equations satisfied by the corresponding scalar integrals. Taking examples of the one-loop B0 and massless C0 functions, as well as the scalar integrals of two-loop vacuum and sunset diagrams, we verify our expressions coinciding with the well-known results of literatures. Based on the multiple hypergeometric functions of independent kinematic variables, the systems of homogeneous linear partial differential equations satisfied by the mentioned scalar integrals are established. Using the calculus of variations, one recognizes the system of linear partial differential equations as stationary conditions of a functional under some given restrictions, which is the cornerstone to perform the continuation of the scalar integrals to whole kinematic domains numerically with the finite element methods. In principle this method can be used to evaluate the scalar integrals of any Feynman diagrams.

  7. New formulae between Jacobi polynomials and some fractional Jacobi functions generalizing some connection formulae

    NASA Astrophysics Data System (ADS)

    Abd-Elhameed, W. M.

    2017-07-01

    In this paper, a new formula relating Jacobi polynomials of arbitrary parameters with the squares of certain fractional Jacobi functions is derived. The derived formula is expressed in terms of a certain terminating hypergeometric function of the type _4F3(1) . With the aid of some standard reduction formulae such as Pfaff-Saalschütz's and Watson's identities, the derived formula can be reduced in simple forms which are free of any hypergeometric functions for certain choices of the involved parameters of the Jacobi polynomials and the Jacobi functions. Some other simplified formulae are obtained via employing some computer algebra algorithms such as the algorithms of Zeilberger, Petkovsek and van Hoeij. Some connection formulae between some Jacobi polynomials are deduced. From these connection formulae, some other linearization formulae of Chebyshev polynomials are obtained. As an application to some of the introduced formulae, a numerical algorithm for solving nonlinear Riccati differential equation is presented and implemented by applying a suitable spectral method.

  8. Mode coupling in vortex beams

    NASA Astrophysics Data System (ADS)

    Eyyuboğlu, Halil T.

    2018-05-01

    We examine the mode coupling in vortex beams. Mode coupling also known as the crosstalk takes place due to turbulent characteristics of the atmospheric communication medium. This way, the transmitted intrinsic mode of the vortex beam leaks power to other extrinsic modes, thus preventing the correct detection of the transmitted symbol which is usually encoded into the mode index or the orbital angular momentum state of the vortex beam. Here we investigate the normalized power mode coupling ratios of several types of vortex beams, namely, Gaussian vortex beam, Bessel Gaussian beam, hypergeometric Gaussian beam and Laguerre Gaussian beam. It is found that smaller mode numbers lead to less mode coupling. The same is partially observed for increasing source sizes. Comparing the vortex beams amongst themselves, it is seen that hypergeometric Gaussian beam is the one retaining the most power in intrinsic mode during propagation, but only at lowest mode index of unity. At higher mode indices this advantage passes over to the Gaussian vortex beam.

  9. A Conditionally Integrable Bi-confluent Heun Potential Involving Inverse Square Root and Centrifugal Barrier Terms

    NASA Astrophysics Data System (ADS)

    Ishkhanyan, Tigran A.; Krainov, Vladimir P.; Ishkhanyan, Artur M.

    2018-05-01

    We present a conditionally integrable potential, belonging to the bi-confluent Heun class, for which the Schrödinger equation is solved in terms of the confluent hypergeometric functions. The potential involves an attractive inverse square root term x-1/2 with arbitrary strength and a repulsive centrifugal barrier core x-2 with the strength fixed to a constant. This is a potential well defined on the half-axis. Each of the fundamental solutions composing the general solution of the Schrödinger equation is written as an irreducible linear combination, with non-constant coefficients, of two confluent hypergeometric functions. We present the explicit solution in terms of the non-integer order Hermite functions of scaled and shifted argument and discuss the bound states supported by the potential. We derive the exact equation for the energy spectrum and approximate that by a highly accurate transcendental equation involving trigonometric functions. Finally, we construct an accurate approximation for the bound-state energy levels.

  10. Solution of fractional kinetic equation by a class of integral transform of pathway type

    NASA Astrophysics Data System (ADS)

    Kumar, Dilip

    2013-04-01

    Solutions of fractional kinetic equations are obtained through an integral transform named Pα-transform introduced in this paper. The Pα-transform is a binomial type transform containing many class of transforms including the well known Laplace transform. The paper is motivated by the idea of pathway model introduced by Mathai [Linear Algebra Appl. 396, 317-328 (2005), 10.1016/j.laa.2004.09.022]. The composition of the transform with differential and integral operators are proved along with convolution theorem. As an illustration of applications to the general theory of differential equations, a simple differential equation is solved by the new transform. Being a new transform, the Pα-transform of some elementary functions as well as some generalized special functions such as H-function, G-function, Wright generalized hypergeometric function, generalized hypergeometric function, and Mittag-Leffler function are also obtained. The results for the classical Laplace transform is retrieved by letting α → 1.

  11. Optimal Keno Strategies and the Central Limit Theorem

    ERIC Educational Resources Information Center

    Johnson, Roger W.

    2006-01-01

    For the casino game Keno we determine optimal playing strategies. To decide such optimal strategies, both exact (hypergeometric) and approximate probability calculations are used. The approximate calculations are obtained via the Central Limit Theorem and simulation, and an important lesson about the application of the Central Limit Theorem is…

  12. Completeness of the Coulomb Wave Functions in Quantum Mechanics

    ERIC Educational Resources Information Center

    Mukunda, N.

    1978-01-01

    Gives an explicit and elementary proof that the radial energy eigenfunctions for the hydrogen atom in quantum mechanics, bound and scattering states included, form a complete set. The proof uses some properties of the confluent hypergeometric functions and the Cauchy residue theorem from analytic function theory. (Author/GA)

  13. Motions about a fixed point by hypergeometric functions: new non-complex analytical solutions and integration of the herpolhode

    NASA Astrophysics Data System (ADS)

    Mingari Scarpello, Giovanni; Ritelli, Daniele

    2018-06-01

    The present study highlights the dynamics of a body moving about a fixed point and provides analytical closed form solutions. Firstly, for the symmetrical heavy body, that is the Lagrange-Poisson case, we compute the second (precession, ψ ) and third (spin, φ) Euler angles in explicit and real form by means of multiple hypergeometric (Lauricella) functions. Secondly, releasing the weight assumption but adding the complication of the asymmetry, by means of elliptic integrals of third kind, we provide the precession angle ψ completing the treatment of the Euler-Poinsot case. Thirdly, by integrating the relevant differential equation, we reach the finite polar equation of a special motion trajectory named the herpolhode. Finally, we keep the symmetry of the first problem, but without weight, and take into account a viscous dissipation. The use of motion first integrals—adopted for the first two problems—is no longer practicable in this situation; therefore, the Euler equations, faced directly, are driving to particular occurrences of Bessel functions of order - 1/2.

  14. Phase function of a spherical particle when scattering an inhomogeneous electromagnetic plane wave.

    PubMed

    Frisvad, Jeppe Revall

    2018-04-01

    In absorbing media, electromagnetic plane waves are most often inhomogeneous. Existing solutions for the scattering of an inhomogeneous plane wave by a spherical particle provide no explicit expressions for the scattering components. In addition, current analytical solutions require evaluation of the complex hypergeometric function F 1 2 for every term of a series expansion. In this work, I develop a simpler solution based on associated Legendre functions with argument zero. It is similar to the solution for homogeneous plane waves but with new explicit expressions for the angular dependency of the far-field scattering components, that is, the phase function. I include recurrence formulas for practical evaluation and provide numerical examples to evaluate how well the new expressions match previous work in some limiting cases. The predicted difference in the scattering phase function due to inhomogeneity is not negligible for light entering an absorbing medium at an oblique angle. The presented theory could thus be useful for predicting scattering behavior in dye-based random lasing and in solar cell absorption enhancement.

  15. Acceptance sampling for attributes via hypothesis testing and the hypergeometric distribution

    NASA Astrophysics Data System (ADS)

    Samohyl, Robert Wayne

    2017-10-01

    This paper questions some aspects of attribute acceptance sampling in light of the original concepts of hypothesis testing from Neyman and Pearson (NP). Attribute acceptance sampling in industry, as developed by Dodge and Romig (DR), generally follows the international standards of ISO 2859, and similarly the Brazilian standards NBR 5425 to NBR 5427 and the United States Standards ANSI/ASQC Z1.4. The paper evaluates and extends the area of acceptance sampling in two directions. First, by suggesting the use of the hypergeometric distribution to calculate the parameters of sampling plans avoiding the unnecessary use of approximations such as the binomial or Poisson distributions. We show that, under usual conditions, discrepancies can be large. The conclusion is that the hypergeometric distribution, ubiquitously available in commonly used software, is more appropriate than other distributions for acceptance sampling. Second, and more importantly, we elaborate the theory of acceptance sampling in terms of hypothesis testing rigorously following the original concepts of NP. By offering a common theoretical structure, hypothesis testing from NP can produce a better understanding of applications even beyond the usual areas of industry and commerce such as public health and political polling. With the new procedures, both sample size and sample error can be reduced. What is unclear in traditional acceptance sampling is the necessity of linking the acceptable quality limit (AQL) exclusively to the producer and the lot quality percent defective (LTPD) exclusively to the consumer. In reality, the consumer should also be preoccupied with a value of AQL, as should the producer with LTPD. Furthermore, we can also question why type I error is always uniquely associated with the producer as producer risk, and likewise, the same question arises with consumer risk which is necessarily associated with type II error. The resolution of these questions is new to the literature. The article presents R code throughout.

  16. On the solving of one type of problems of mathematical physics

    NASA Astrophysics Data System (ADS)

    Chebakova, V. J.; Gerasimov, A. V.; Kirpichnikov, A. P.

    2016-11-01

    A relationship between generalized hypergeometric functions of a special type and modified Bessel functions has been established. Using this relationship the solution of inhomogeneous differential equations of Bessel type containing even degrees of an independent variable in the right-hand part can be expressed in a form convenient for engineering and technical applications.

  17. On mini-superspace limit of boundary three-point function in Liouville field theory

    NASA Astrophysics Data System (ADS)

    Apresyan, Elena; Sarkissian, Gor

    2017-12-01

    We study the mini-superspace semiclassical limit of the boundary three-point function in the Liouville field theory. We compute also matrix elements for the Morse potential quantum mechanics. An exact agreement between the former and the latter is found. We show that both of them are given by the generalized hypergeometric functions.

  18. Systems Biology Approaches for Discovering Biomarkers for Traumatic Brain Injury

    DTIC Science & Technology

    2013-07-01

    injury (FPI), in which injury is produced by the impact of a pendulum onto a fluid reservoir, or controlled cortical impact (CCI), in which a rigid...algorithm, and the MSigDB Web site in Table 3 allows users to run GSEA on up- loaded data. One drawback to GSEA and the hypergeometric test is that

  19. Weak solution concept and Galerkin's matrix for the exterior of an oblate ellipsoid of revolution in the representation of the Earth's gravity potential by buried masses

    NASA Astrophysics Data System (ADS)

    Holota, Petr; Nesvadba, Otakar

    2017-04-01

    The paper is motivated by the role of boundary value problems in Earth's gravity field studies. The discussion focuses on Neumann's problem formulated for the exterior of an oblate ellipsoid of revolution as this is considered a basis for an iteration solution of the linear gravimetric boundary value problem in the determination of the disturbing potential. The approach follows the concept of the weak solution and Galerkin's approximations are applied. This means that the solution of the problem is approximated by linear combinations of basis functions with scalar coefficients. The construction of Galerkin's matrix for basis functions generated by elementary potentials (point masses) is discussed. Ellipsoidal harmonics are used as a natural tool and the elementary potentials are expressed by means of series of ellipsoidal harmonics. The problem, however, is the summation of the series that represent the entries of Galerkin's matrix. It is difficult to reduce the number of summation indices since in the ellipsoidal case there is no analogue to the addition theorem known for spherical harmonics. Therefore, the straightforward application of series of ellipsoidal harmonics is complemented by deeper relations contained in the theory of ordinary differential equations of second order and in the theory of Legendre's functions. Subsequently, also hypergeometric functions and series are used. Moreover, within some approximations the entries are split into parts. Some of the resulting series may be summed relatively easily, apart from technical tricks. For the remaining series the summation was converted to elliptic integrals. The approach made it possible to deduce a closed (though approximate) form representation of the entries in Galerkin's matrix. The result rests on concepts and methods of mathematical analysis. In the paper it is confronted with a direct numerical approach applied for the implementation of Legendre's functions. The computation of the entries is more demanding in this case, but conceptually it avoids approximations. Finally, some specific features associated with function bases generated by elementary potentials in case the ellipsoidal solution domain are illustrated and discussed.

  20. Analytical solutions of the Klein-Gordon equation for Manning-Rosen potential with centrifugal term through Nikiforov-Uvarov method

    NASA Astrophysics Data System (ADS)

    Hatami, N.; Setare, M. R.

    2017-10-01

    We present approximate analytical solutions of the Klein-Gordon equation with arbitrary l state for the Manning-Rosen potential using the Nikiforov-Uvarov method and adopting the approximation scheme for the centrifugal term. We provide the bound state energy spectrum and the wave function in terms of the hypergeometric functions.

  1. Random matrix theory of singular values of rectangular complex matrices I: Exact formula of one-body distribution function in fixed-trace ensemble

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    Adachi, Satoshi; Toda, Mikito; Kubotani, Hiroto

    The fixed-trace ensemble of random complex matrices is the fundamental model that excellently describes the entanglement in the quantum states realized in a coupled system by its strongly chaotic dynamical evolution [see H. Kubotani, S. Adachi, M. Toda, Phys. Rev. Lett. 100 (2008) 240501]. The fixed-trace ensemble fully takes into account the conservation of probability for quantum states. The present paper derives for the first time the exact analytical formula of the one-body distribution function of singular values of random complex matrices in the fixed-trace ensemble. The distribution function of singular values (i.e. Schmidt eigenvalues) of a quantum state ismore » so important since it describes characteristics of the entanglement in the state. The derivation of the exact analytical formula utilizes two recent achievements in mathematics, which appeared in 1990s. The first is the Kaneko theory that extends the famous Selberg integral by inserting a hypergeometric type weight factor into the integrand to obtain an analytical formula for the extended integral. The second is the Petkovsek-Wilf-Zeilberger theory that calculates definite hypergeometric sums in a closed form.« less

  2. Calculating three loop ladder and V-topologies for massive operator matrix elements by computer algebra

    NASA Astrophysics Data System (ADS)

    Ablinger, J.; Behring, A.; Blümlein, J.; De Freitas, A.; von Manteuffel, A.; Schneider, C.

    2016-05-01

    Three loop ladder and V-topology diagrams contributing to the massive operator matrix element AQg are calculated. The corresponding objects can all be expressed in terms of nested sums and recurrences depending on the Mellin variable N and the dimensional parameter ε. Given these representations, the desired Laurent series expansions in ε can be obtained with the help of our computer algebra toolbox. Here we rely on generalized hypergeometric functions and Mellin-Barnes representations, on difference ring algorithms for symbolic summation, on an optimized version of the multivariate Almkvist-Zeilberger algorithm for symbolic integration, and on new methods to calculate Laurent series solutions of coupled systems of differential equations. The solutions can be computed for general coefficient matrices directly for any basis also performing the expansion in the dimensional parameter in case it is expressible in terms of indefinite nested product-sum expressions. This structural result is based on new results of our difference ring theory. In the cases discussed we deal with iterative sum- and integral-solutions over general alphabets. The final results are expressed in terms of special sums, forming quasi-shuffle algebras, such as nested harmonic sums, generalized harmonic sums, and nested binomially weighted (cyclotomic) sums. Analytic continuations to complex values of N are possible through the recursion relations obeyed by these quantities and their analytic asymptotic expansions. The latter lead to a host of new constants beyond the multiple zeta values, the infinite generalized harmonic and cyclotomic sums in the case of V-topologies.

  3. Adult Basic Skills: Innovations in Measurement and Policy Analysis. Series on Literacy: Research, Policy, and Practice.

    ERIC Educational Resources Information Center

    Tuijnman, Albert C., Ed.; Kirsch, Irwin S., Ed.; Wagner, Daniel A., Ed.

    This book contains 13 papers examining innovations in measuring adults' basic skills and analyzing adult literacy policy. The following papers are included: "Series Preface" (Daniel A. Wagner); "Foreword" (Torsten Husen); "Introduction" (Albert Tuijnman); "Adult Basic Skills: Policy Issues and a Research…

  4. Using Patterns of Summed Scores in Paper-and-Pencil Tests and Computer-Adaptive Tests to Detect Misfitting Item Score Patterns

    ERIC Educational Resources Information Center

    Meijer, Rob R.

    2004-01-01

    Two new methods have been proposed to determine unexpected sum scores on sub-tests (testlets) both for paper-and-pencil tests and computer adaptive tests. A method based on a conservative bound using the hypergeometric distribution, denoted p, was compared with a method where the probability for each score combination was calculated using a…

  5. Higher order derivatives of R-Jacobi polynomials

    NASA Astrophysics Data System (ADS)

    Das, Sourav; Swaminathan, A.

    2016-06-01

    In this work, the R-Jacobi polynomials defined on the nonnegative real axis related to F-distribution are considered. Using their Sturm-Liouville system higher order derivatives are constructed. Orthogonality property of these higher ordered R-Jacobi polynomials are obtained besides their normal form, self-adjoint form and hypergeometric representation. Interesting results on the Interpolation formula and Gaussian quadrature formulae are obtained with numerical examples.

  6. Back to the Basics: Birmingham, Alabama, Measurement and Scale

    ERIC Educational Resources Information Center

    Handley, Lawrence R.; Lockwood, Catherine M.; Handley, Nathan

    2005-01-01

    "Back to the Basics: Birmingham, Alabama" is the fourth in a series of workshops that focus on teaching foundational map reading and spatial differentiation skills. It is the second published exercise from the Back to the Basics series developed by the Wetland Education through Maps and Aerial Photography (WETMAAP) Program (see…

  7. Back to the Basics: Lake Tahoe, California/Nevada--Spatial Measurement

    ERIC Educational Resources Information Center

    Handley, Lawrence R.; Lockwood, Catherine M.; Handley, Nathan

    2006-01-01

    "Back to the Basics: South Lake Tahoe, California/Nevada" continues the series of exercises on teaching foundational map reading and spatial differentiation skills. It is the third published exercise from the Back to the Basics series developed by the Wetland Education through Maps and Aerial Photography (WETMAAP) Program. The current…

  8. Chinese-Cantonese Basic Course.

    ERIC Educational Resources Information Center

    Defense Language Inst., Washington, DC.

    This nine-volume basic course in Cantonese Chinese is designed for 47 weeks of intense audiolingual instruction. The first book of the series introduces the pronunciation, with emphasis on the tone system, and the basic aspects of the grammar. Also introduced in this volume is the romanization system used in this series (the U.S. Army Language…

  9. Basic Fishing. Aquatic Skills Series. Instructor Manual.

    ERIC Educational Resources Information Center

    Staton, Robert D., Jr.

    Part of a series of self-contained instructional units to teach Missourians how to use outdoor resources wisely and skillfully, this module of the Aquatic Skills Series introduces the basics of sport fishing using spin-casting equipment. The instructor may modify the module to meet the individual needs of class members based on age, experience…

  10. A bispectral q-hypergeometric basis for a class of quantum integrable models

    NASA Astrophysics Data System (ADS)

    Baseilhac, Pascal; Martin, Xavier

    2018-01-01

    For the class of quantum integrable models generated from the q-Onsager algebra, a basis of bispectral multivariable q-orthogonal polynomials is exhibited. In the first part, it is shown that the multivariable Askey-Wilson polynomials with N variables and N + 3 parameters introduced by Gasper and Rahman [Dev. Math. 13, 209 (2005)] generate a family of infinite dimensional modules for the q-Onsager algebra, whose fundamental generators are realized in terms of the multivariable q-difference and difference operators proposed by Iliev [Trans. Am. Math. Soc. 363, 1577 (2011)]. Raising and lowering operators extending those of Sahi [SIGMA 3, 002 (2007)] are also constructed. In the second part, finite dimensional modules are constructed and studied for a certain class of parameters and if the N variables belong to a discrete support. In this case, the bispectral property finds a natural interpretation within the framework of tridiagonal pairs. In the third part, eigenfunctions of the q-Dolan-Grady hierarchy are considered in the polynomial basis. In particular, invariant subspaces are identified for certain conditions generalizing Nepomechie's relations. In the fourth part, the analysis is extended to the special case q = 1. This framework provides a q-hypergeometric formulation of quantum integrable models such as the open XXZ spin chain with generic integrable boundary conditions (q ≠ 1).

  11. Some Families of the Incomplete H-Functions and the Incomplete \\overline H -Functions and Associated Integral Transforms and Operators of Fractional Calculus with Applications

    NASA Astrophysics Data System (ADS)

    Srivastava, H. M.; Saxena, R. K.; Parmar, R. K.

    2018-01-01

    Our present investigation is inspired by the recent interesting extensions (by Srivastava et al. [35]) of a pair of the Mellin-Barnes type contour integral representations of their incomplete generalized hypergeometric functions p γ q and p Γ q by means of the incomplete gamma functions γ( s, x) and Γ( s, x). Here, in this sequel, we introduce a family of the relatively more general incomplete H-functions γ p,q m,n ( z) and Γ p,q m,n ( z) as well as their such special cases as the incomplete Fox-Wright generalized hypergeometric functions p Ψ q (γ) [ z] and p Ψ q (Γ) [ z]. The main object of this paper is to study and investigate several interesting properties of these incomplete H-functions, including (for example) decomposition and reduction formulas, derivative formulas, various integral transforms, computational representations, and so on. We apply some substantially general Riemann-Liouville and Weyl type fractional integral operators to each of these incomplete H-functions. We indicate the easilyderivable extensions of the results presented here that hold for the corresponding incomplete \\overline H -functions as well. Potential applications of many of these incomplete special functions involving (for example) probability theory are also indicated.

  12. Random noise effects in pulse-mode digital multilayer neural networks.

    PubMed

    Kim, Y C; Shanblatt, M A

    1995-01-01

    A pulse-mode digital multilayer neural network (DMNN) based on stochastic computing techniques is implemented with simple logic gates as basic computing elements. The pulse-mode signal representation and the use of simple logic gates for neural operations lead to a massively parallel yet compact and flexible network architecture, well suited for VLSI implementation. Algebraic neural operations are replaced by stochastic processes using pseudorandom pulse sequences. The distributions of the results from the stochastic processes are approximated using the hypergeometric distribution. Synaptic weights and neuron states are represented as probabilities and estimated as average pulse occurrence rates in corresponding pulse sequences. A statistical model of the noise (error) is developed to estimate the relative accuracy associated with stochastic computing in terms of mean and variance. Computational differences are then explained by comparison to deterministic neural computations. DMNN feedforward architectures are modeled in VHDL using character recognition problems as testbeds. Computational accuracy is analyzed, and the results of the statistical model are compared with the actual simulation results. Experiments show that the calculations performed in the DMNN are more accurate than those anticipated when Bernoulli sequences are assumed, as is common in the literature. Furthermore, the statistical model successfully predicts the accuracy of the operations performed in the DMNN.

  13. Identification of Chemical Features Linked to Thyroperoxidase ...

    EPA Pesticide Factsheets

    Disruption of maternal serum thyroid hormone (TH) adversely affects fetal neurodevelopment. Therefore, assay development within the US EPA ToxCast program is ongoing to enable screening for chemicals that may disrupt TH, in support of the Endocrine Disruption Screening Program (EDSP21). The AUR-TPO assay was recently developed to screen >1,000 ToxCast chemicals for potential thyroperoxidase (TPO) inhibition activity. TPO is critical for TH synthesis and is a known target of thyroid-disrupting chemicals. The bioactivity results from the AUR-TPO assay were used to identify chemical substructures associated with in vitro TPO inhibition. Substructure profiles were generated for each chemical in the ToxCast test set using the publicly-available ToxPrint 2.0 chemotypes. Chemotypes enriched among the putative TPO inhibitors were identified using a cumulative hypergeometric probability (p < 0.01). Of the total 729 chemotypes evaluated, 31 were overrepresented among TPO inhibitors. Examination of those 31 chemotypes revealed four basic pharmacophores that accounted for 70% of the ToxCast chemicals active in the AUR-TPO assay: aromatic alcohols, aromatic amines, thiocarbonyls and phosphothioates. Chemico-structural analysis of AUR-TPO screening results enabled the identification of chemical features that likely drive TPO inhibition in the AUR-TPO assay. This highlights the potential to identify thyroid-disrupting chemicals in silico using structural alerts identified by

  14. A High-Throughput Screening Assay to Detect ...

    EPA Pesticide Factsheets

    In support of the Endocrine Disruption Screening Program (EDSP21), the US EPA ToxCast program is developing assays to enable screening for chemicals that may disrupt thyroid hormone synthesis. Thyroperoxidase (TPO) is critical for TH synthesis and is a known target of thyroid-disrupting chemicals that adversely impact neurodevelopment. The AUR-TPO assay was recently developed to screen >1,900 ToxCast chemicals for potential TPO inhibition activity. Parallel assays were used to determine which AUR-TPO actives were more selective for TPO inhibition. Additionally, the TPO inhibition activities of 150 chemicals were compared between the AUR-TPO assay and an orthogonal peroxidase oxidation assay using guaiacol as substrate to confirm putative TPO inhibition profiles. Bioactivity results from the AUR-TPO assay were used to identify chemical substructures associated with in vitro TPO inhibition. Substructure profiles were generated for each chemical in the ToxCast test set using the publicly-available ToxPrint 2.0 chemotypes. Chemotypes enriched among the putative TPO inhibitors were identified using a cumulative hypergeometric probability (p < 0.01). Of the total 729 chemotypes evaluated, 44 were overrepresented among TPO inhibitors. Another 24 chemotypes were found to be significantly underrepresented among AUR-TPO actives. Examination of these chemotypes revealed four basic pharmacophores that accounted for 70% of the ToxCast chemicals active in the AUR-TPO assay:

  15. On the Maximum-Weight Clique Problem.

    DTIC Science & Technology

    1985-06-01

    hypergeometric distribution", Discrete Math . 25, 285-287 .* CHVATAL, V. (1983), Linear Programming, W.H. Freeman, New York/San Francisco. COOK, S.A. (1971...Annals Discrete Math . 21, 325-356 GROTSCHEL, M., L. LOVASZ, and A. SCHRIJVER ((1984b), "Relaxations of Vertex Packing", Preprint No. 35...de Grenoble. See also N. Sbihi, "Algorithme de recherche d’un stable de cardinalite maximum dans un graphe sans etoile", Discrete Math . 19 (1980), 53

  16. A massive Feynman integral and some reduction relations for Appell functions

    NASA Astrophysics Data System (ADS)

    Shpot, M. A.

    2007-12-01

    New explicit expressions are derived for the one-loop two-point Feynman integral with arbitrary external momentum and masses m12 and m22 in D dimensions. The results are given in terms of Appell functions, manifestly symmetric with respect to the masses mi2. Equating our expressions with previously known results in terms of Gauss hypergeometric functions yields reduction relations for the involved Appell functions that are apparently new mathematical results.

  17. Concepcion de la Educacion Basica en Algunos Paises. Series Divulgaciones No. 1 (The Notion of Basic Education in Several Countries. Information Series No. 1).

    ERIC Educational Resources Information Center

    Enriquez, Galo, Ed.

    This booklet defines and considers basic education and reports on the concept as it is implemented and developed in Argentina, Colombia, Chile, Spain, and Peru. Basic education, as defined here, generally refers to the education of children between the ages of 7 and 16 years. Initial remarks define the issue and discuss general principles. The…

  18. Dissociative Electron Attachment to Rovibrationally Excited Molecules

    DTIC Science & Technology

    1987-08-31

    obtained in some recent papers.4’ - In Sec. IV of the present L,(0, (00 paper we will obtain some general recursion relations among where these matrix... general five-term From the generating function of Hermite polynomials , recursion relation (32) is obtained which is valid for the matrix elements of...for the generation of the functions for increasing 1. One convenient way to evaluate a Q, function is to write it in terms of Gaussian hypergeometric

  19. Riemann-Liouville Fractional Calculus of Certain Finite Class of Classical Orthogonal Polynomials

    NASA Astrophysics Data System (ADS)

    Malik, Pradeep; Swaminathan, A.

    2010-11-01

    In this work we consider certain class of classical orthogonal polynomials defined on the positive real line. These polynomials have their weight function related to the probability density function of F distribution and are finite in number up to orthogonality. We generalize these polynomials for fractional order by considering the Riemann-Liouville type operator on these polynomials. Various properties like explicit representation in terms of hypergeometric functions, differential equations, recurrence relations are derived.

  20. A Bayesian mixture model for chromatin interaction data.

    PubMed

    Niu, Liang; Lin, Shili

    2015-02-01

    Chromatin interactions mediated by a particular protein are of interest for studying gene regulation, especially the regulation of genes that are associated with, or known to be causative of, a disease. A recent molecular technique, Chromatin interaction analysis by paired-end tag sequencing (ChIA-PET), that uses chromatin immunoprecipitation (ChIP) and high throughput paired-end sequencing, is able to detect such chromatin interactions genomewide. However, ChIA-PET may generate noise (i.e., pairings of DNA fragments by random chance) in addition to true signal (i.e., pairings of DNA fragments by interactions). In this paper, we propose MC_DIST based on a mixture modeling framework to identify true chromatin interactions from ChIA-PET count data (counts of DNA fragment pairs). The model is cast into a Bayesian framework to take into account the dependency among the data and the available information on protein binding sites and gene promoters to reduce false positives. A simulation study showed that MC_DIST outperforms the previously proposed hypergeometric model in terms of both power and type I error rate. A real data study showed that MC_DIST may identify potential chromatin interactions between protein binding sites and gene promoters that may be missed by the hypergeometric model. An R package implementing the MC_DIST model is available at http://www.stat.osu.edu/~statgen/SOFTWARE/MDM.

  1. Divergence and evolution of assortative mating in a polygenic trait model of speciation with gene flow.

    PubMed

    Sachdeva, Himani; Barton, Nicholas H

    2017-06-01

    Assortative mating is an important driver of speciation in populations with gene flow and is predicted to evolve under certain conditions in few-locus models. However, the evolution of assortment is less understood for mating based on quantitative traits, which are often characterized by high genetic variability and extensive linkage disequilibrium between trait loci. We explore this scenario for a two-deme model with migration, by considering a single polygenic trait subject to divergent viability selection across demes, as well as assortative mating and sexual selection within demes, and investigate how trait divergence is shaped by various evolutionary forces. Our analysis reveals the existence of sharp thresholds of assortment strength, at which divergence increases dramatically. We also study the evolution of assortment via invasion of modifiers of mate discrimination and show that the ES assortment strength has an intermediate value under a range of migration-selection parameters, even in diverged populations, due to subtle effects which depend sensitively on the extent of phenotypic variation within these populations. The evolutionary dynamics of the polygenic trait is studied using the hypergeometric and infinitesimal models. We further investigate the sensitivity of our results to the assumptions of the hypergeometric model, using individual-based simulations. © 2017 The Author(s). Evolution © 2017 The Society for the Study of Evolution.

  2. On Exact Solutions of Rarefaction-Rarefaction Interactions in Compressible Isentropic Flow

    NASA Astrophysics Data System (ADS)

    Jenssen, Helge Kristian

    2017-12-01

    Consider the interaction of two centered rarefaction waves in one-dimensional, compressible gas flow with pressure function p(ρ )=a^2ρ ^γ with γ >1. The classic hodograph approach of Riemann provides linear 2nd order equations for the time and space variables t, x as functions of the Riemann invariants r, s within the interaction region. It is well known that t( r, s) can be given explicitly in terms of the hypergeometric function. We present a direct calculation (based on works by Darboux and Martin) of this formula, and show how the same approach provides an explicit formula for x( r, s) in terms of Appell functions (two-variable hypergeometric functions). Motivated by the issue of vacuum and total variation estimates for 1-d Euler flows, we then use the explicit t-solution to monitor the density field and its spatial variation in interactions of two centered rarefaction waves. It is found that the variation is always non-monotone, and that there is an overall increase in density variation if and only if γ >3. We show that infinite duration of the interaction is characterized by approach toward vacuum in the interaction region, and that this occurs if and only if the Riemann problem defined by the extreme initial states generates a vacuum. Finally, it is verified that the minimal density in such interactions decays at rate O(1)/ t.

  3. Analytic properties for the honeycomb lattice Green function at the origin

    NASA Astrophysics Data System (ADS)

    Joyce, G. S.

    2018-05-01

    The analytic properties of the honeycomb lattice Green function are investigated, where is a complex variable which lies in a plane. This double integral defines a single-valued analytic function provided that a cut is made along the real axis from w  =  ‑3 to . In order to analyse the behaviour of along the edges of the cut it is convenient to define the limit function where . It is shown that and can be evaluated exactly for all in terms of various hypergeometric functions, where the argument function is always real-valued and rational. The second-order linear Fuchsian differential equation satisfied by is also used to derive series expansions for and which are valid in the neighbourhood of the regular singular points and . Integral representations are established for and , where with . In particular, it is proved that where J 0(z) and Y 0(z) denote Bessel functions of the first and second kind, respectively. The results derived in the paper are utilized to evaluate the associated logarithmic integral where w lies in the cut plane. A new set of orthogonal polynomials which are connected with the honeycomb lattice Green function are also briefly discussed. Finally, a link between and the theory of Pearson random walks in a plane is established.

  4. Measuring lexical diversity in narrative discourse of people with aphasia.

    PubMed

    Fergadiotis, Gerasimos; Wright, Heather H; West, Thomas M

    2013-05-01

    A microlinguistic content analysis for assessing lexical semantics in people with aphasia (PWA) is lexical diversity (LD). Sophisticated techniques have been developed to measure LD. However, validity evidence for these methodologies when applied to the discourse of PWA is lacking. The purpose of this study was to evaluate four measures of LD to determine how effective they were at measuring LD in PWA. Four measures of LD were applied to short discourse samples produced by 101 PWA: (a) the Measure of Textual Lexical Diversity (MTLD; McCarthy, 2005), (b) the Moving-Average Type-Token Ratio (MATTR; Covington, 2007), (c) D (McKee, Malvern, & Richards, 2000), and (d) the Hypergeometric Distribution (HD-D; McCarthy & Jarvis, 2007). LD was estimated using each method, and the scores were subjected to a series of analyses (e.g., curve-fitting, analysis of variance, confirmatory factor analysis). Results from the confirmatory factor analysis suggested that MTLD and MATTR reflect LD and little of anything else. Further, two indices (HD-D and D) were found to be equivalent, suggesting that either one can be used when samples are >50 tokens. MTLD and MATTR yielded the strongest evidence for producing unbiased LD scores, suggesting that they may be the best measures for capturing LD in PWA.

  5. Introduction to Insulation. Introduction to Construction Series. Instructor Edition.

    ERIC Educational Resources Information Center

    Associated General Contractors of America, Washington, DC.

    This module on introductory insulation is one of a series of modules designed to teach basic skills necessary for entry-level employment in this field. The instructor's guide contains three instructional units that cover the following topics: (1) insulation materials; (2) insulation tools; and (3) insulation layout and basic skills. Each…

  6. Basic Mathematics Machine Calculator Course.

    ERIC Educational Resources Information Center

    Windsor Public Schools, CT.

    This series of four text-workbooks was designed for tenth grade mathematics students who have exhibited lack of problem-solving skills. Electric desk calculators are to be used with the text. In the first five chapters of the series, students learn how to use the machine while reviewing basic operations with whole numbers, decimals, fractions, and…

  7. Introduction to Concrete Reinforcing. Instructor Edition. Introduction to Construction Series.

    ERIC Educational Resources Information Center

    Oklahoma State Dept. of Vocational and Technical Education, Stillwater. Curriculum and Instructional Materials Center.

    This module on concrete reinforcing is one of a series of modules designed to teach basic skills necessary for entry-level employment in this field. This module contains three instructional units that cover the following topics: (1) concrete reinforcing materials; (2) concrete reinforcing tools; and (3) concrete reinforcing basic skills. Each…

  8. A family of analytic equilibrium solutions for the Grad-Shafranov equation

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    Guazzotto, L.; Freidberg, J. P.

    2007-11-15

    A family of exact solutions to the Grad-Shafranov equation, similar to those described by Atanasiu et al. [C. V. Atanasiu, S. Guenter, K. Lackner, and I. G. Miron, Phys. Plasmas 11, 3510 (2004)], is presented. The solution allows for finite plasma aspect ratio, elongation and triangularity, while only requiring the evaluation of a small number of well-known hypergeometric functions. Plasma current, pressure, and pressure gradients are set to zero at the plasma edge. Realistic equilibria for standard and spherical tokamaks are presented.

  9. Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation

    NASA Astrophysics Data System (ADS)

    Ormerod, Christopher M.

    2014-01-01

    We identify a periodic reduction of the non-autonomous lattice potential Korteweg-de Vries equation with the additive discrete Painlevé equation with E_6^{(1)} symmetry. We present a description of a set of symmetries of the reduced equations and their relations to the symmetries of the discrete Painlevé equation. Finally, we exploit the simple symmetric form of the reduced equations to find rational and hypergeometric solutions of this discrete Painlevé equation.

  10. Luigi Gatteschi's work on asymptotics of special functions and their zeros

    NASA Astrophysics Data System (ADS)

    Gautschi, Walter; Giordano, Carla

    2008-12-01

    A good portion of Gatteschi's research publications-about 65%-is devoted to asymptotics of special functions and their zeros. Most prominently among the special functions studied figure classical orthogonal polynomials, notably Jacobi polynomials and their special cases, Laguerre polynomials, and Hermite polynomials by implication. Other important classes of special functions dealt with are Bessel functions of the first and second kind, Airy functions, and confluent hypergeometric functions, both in Tricomi's and Whittaker's form. This work is reviewed here, and organized along methodological lines.

  11. Orthogonal Polynomials Associated with Complementary Chain Sequences

    NASA Astrophysics Data System (ADS)

    Behera, Kiran Kumar; Sri Ranga, A.; Swaminathan, A.

    2016-07-01

    Using the minimal parameter sequence of a given chain sequence, we introduce the concept of complementary chain sequences, which we view as perturbations of chain sequences. Using the relation between these complementary chain sequences and the corresponding Verblunsky coefficients, the para-orthogonal polynomials and the associated Szegő polynomials are analyzed. Two illustrations, one involving Gaussian hypergeometric functions and the other involving Carathéodory functions are also provided. A connection between these two illustrations by means of complementary chain sequences is also observed.

  12. Back to the basics: Birmingham, Alabama, measurement and scale

    USGS Publications Warehouse

    Handley, L.R.; Lockwood, C.M.; Handley, N.

    2005-01-01

    Back to the Basics: Birmingham, Alabama is the fourth in a series of workshops that focus on teaching foundational map reading and spatial differentiation skills. It is the second published exercise from the Back to the Basics series developed by the Wetland Education through Maps and Aerial Photography (WETMAAP) Program (see Journal of Geography 103, 5: 226-230). Like its predecessor, the current exercise is modified from the Birmingham Back to the Basics workshop offered during the annual National Council for Geographic Education meeting. The focus of this exercise is on scale and measurement, foundational skills for spatial thinking and analysis. ?? 2005 National Council for Geographic Education.

  13. Atomic Energy Basics, Understanding the Atom Series.

    ERIC Educational Resources Information Center

    Atomic Energy Commission, Oak Ridge, TN. Div. of Technical Information.

    This booklet is part of the "Understanding the Atom Series," though it is a later edition and not included in the original set of 51 booklets. A basic survey of the principles of nuclear energy and most important applications are provided. These major topics are examined: matter has molecules and atoms, the atom has electrons, the nucleus,…

  14. AN ANALYSIS OF EIGHT DIFFERENT READING INSTRUCTIONAL METHODS USED WITH FIRST GRADE STUDENTS.

    ERIC Educational Resources Information Center

    CAMPBELL, PAUL B.; AND OTHERS

    DURING THE SCHOOL YEAR 1965-66, GROUPS OF FIRST-GRADE PUPILS IN THE LIVONIA SCHOOL SYSTEM, MICHIGAN, WERE PROVIDED WITH READING INSTRUCTION MATERIALS FROM EIGHT PUBLISHERS REPRESENTING EIGHT APPROACHES AS PART ONE OF A 2-YEAR STUDY. THE MATERIALS WERE THE LIPPINCOTT BASIC READING SERIES, THE SCIENCE RESEARCH ASSOCIATES BASIC READING SERIES, THE…

  15. Lessons from Abroad--Developing Countries. Viewpoints: A Series of Occasional Papers on Basic Education. Issue No. 9.

    ERIC Educational Resources Information Center

    Adult Literacy and Basic Skills Unit, London (England).

    This document, one of a series of British occasional papers on basic education, investigates adult literacy practices in Africa, Asia, Latin America, and the Caribbean. The texts and their authors are "Building a National Movement: The Caribbean Experience" (Didacus Jules); "Literacy and Empowerment: A Definition for Literacy"…

  16. Optimizing Picture Activities for the Language Classroom: Picture Line-Up Activities.

    ERIC Educational Resources Information Center

    Schmidt, Ken

    1995-01-01

    The use of picture line-up activities, classroom exercises in which students must place a series of pictures in correct order, is discussed. The advantages of use of a picture series instead of simple pairs are examined, a basic activity is described, and ideas for implementation, adaptation, and follow-up are outlined. The basic activity uses…

  17. Extended nonlinear feedback model for describing episodes of high inflation

    NASA Astrophysics Data System (ADS)

    Szybisz, Martín A.; Szybisz, Leszek

    2017-01-01

    An extension of the nonlinear feedback (NLF) formalism to describe regimes of hyper- and high-inflation in economy is proposed in the present work. In the NLF model the consumer price index (CPI) exhibits a finite time singularity of the type 1 /(tc - t) (1 - β) / β, with β > 0, predicting a blow up of the economy at a critical time tc. However, this model fails in determining tc in the case of weak hyperinflation regimes like, e.g., that occurred in Israel. To overcome this trouble, the NLF model is extended by introducing a parameter γ, which multiplies all terms with past growth rate index (GRI). In this novel approach the solution for CPI is also analytic being proportional to the Gaussian hypergeometric function 2F1(1 / β , 1 / β , 1 + 1 / β ; z) , where z is a function of β, γ, and tc. For z → 1 this hypergeometric function diverges leading to a finite time singularity, from which a value of tc can be determined. This singularity is also present in GRI. It is shown that the interplay between parameters β and γ may produce phenomena of multiple equilibria. An analysis of the severe hyperinflation occurred in Hungary proves that the novel model is robust. When this model is used for examining data of Israel a reasonable tc is got. High-inflation regimes in Mexico and Iceland, which exhibit weaker inflations than that of Israel, are also successfully described.

  18. Introduction to Heating, Ventilation and Air Conditioning (HVAC). Introduction to Construction Series. Instructor Edition.

    ERIC Educational Resources Information Center

    Associated General Contractors of America, Washington, DC.

    This module on introductory heating, ventilating, and air conditioning (HVAC) is one of a series of modules designed to teach basic skills necessary for entry-level employment in this field. The module contains four instructional units that cover the following topics: (1) HVAC materials; (2) HVAC tools; (3) HVAC layout; and (4) HVAC basic skills.…

  19. Midwifery basics. Antenatal care: the options available.

    PubMed

    Baston, Helen

    2002-10-01

    This new series of articles is aimed at student midwives. Its purpose is to provide them with a basic understanding of the main issues and concepts surrounding the delivery of antenatal care. Students will be encouraged to seek further information through a series of activities throughout the text. They will also be helped to link theory with practice by following 'Joanna' through her pregnancy.

  20. Gender Issues in Basic Education and Vocational Training. The Gender Manual Series.

    ERIC Educational Resources Information Center

    Anderson, Mary B.

    When and how to integrate girls and women into Agency for International Development (A.I.D.) projects in basic education and vocational training is the focus of this manual. The volume generally follows the format developed in the Topical Reference Guide series produced by A.I.D.'s Center for Development Information and Evaluation (CDIE). The…

  1. The RSZ BASIC programming language manual

    NASA Technical Reports Server (NTRS)

    Stattel, R. J.; Niswander, J. K.; Kochhar, A. K.

    1980-01-01

    The RSZ BASIC interactive language is described. The RSZ BASIC interpreter is resident in the Telemetry Data Processor, a system dedicated to the processing and displaying of PCM telemetry data. A series of working examples teaches the fundamentals of RSZ BASIC and shows how to construct, edit, and manage storage of programs.

  2. Analysis of Eigenvalue and Eigenfunction of Klein Gordon Equation Using Asymptotic Iteration Method for Separable Non-central Cylindrical Potential

    NASA Astrophysics Data System (ADS)

    Suparmi, A.; Cari, C.; Lilis Elviyanti, Isnaini

    2018-04-01

    Analysis of relativistic energy and wave function for zero spin particles using Klein Gordon equation was influenced by separable noncentral cylindrical potential was solved by asymptotic iteration method (AIM). By using cylindrical coordinates, the Klein Gordon equation for the case of symmetry spin was reduced to three one-dimensional Schrodinger like equations that were solvable using variable separation method. The relativistic energy was calculated numerically with Matlab software, and the general unnormalized wave function was expressed in hypergeometric terms.

  3. Charge-to-mass dispersion methods for abrasion-ablation fragmentation models

    NASA Technical Reports Server (NTRS)

    Townsend, L. W.; Norbury, J. W.

    1985-01-01

    Methods to describe the charge-to-mass dispersion distributions of projectile prefragments are presented and used to determine individual isotope cross-sections or various elements produced in the fragmentation of relativistic argon nuclei by carbon targets. Although slight improvements in predicted cross-sections are obtained for the quantum mechanical giant dipole resonance (GDR) distribution when compared qith the predictions of the geometric GDR model, the closest agreement between theory and experiment continues to be obtained with the simple hypergeometric distribution, which treats the nucleons in the nucleus as completely uncorrelated.

  4. Random wandering of laser beams with orbital angular momentum during propagation through atmospheric turbulence.

    PubMed

    Aksenov, Valerii P; Kolosov, Valeriy V; Pogutsa, Cheslav E

    2014-06-10

    The propagation of laser beams having orbital angular momenta (OAM) in the turbulent atmosphere is studied numerically. The variance of random wandering of these beams is investigated with the use of the Monte Carlo technique. It is found that, among various types of vortex laser beams, such as the Laguerre-Gaussian (LG) beam, modified Bessel-Gaussian beam, and hypergeometric Gaussian beam, having identical initial effective radii and OAM, the LG beam occupying the largest effective volume in space is the most stable one.

  5. Exact Mass-Coupling Relation for the Homogeneous Sine-Gordon Model.

    PubMed

    Bajnok, Zoltán; Balog, János; Ito, Katsushi; Satoh, Yuji; Tóth, Gábor Zsolt

    2016-05-06

    We derive the exact mass-coupling relation of the simplest multiscale quantum integrable model, i.e., the homogeneous sine-Gordon model with two mass scales. The relation is obtained by comparing the perturbed conformal field theory description of the model valid at short distances to the large distance bootstrap description based on the model's integrability. In particular, we find a differential equation for the relation by constructing conserved tensor currents, which satisfy a generalization of the Θ sum rule Ward identity. The mass-coupling relation is written in terms of hypergeometric functions.

  6. Quasinormal modes of the BTZ black hole under scalar perturbations with a non-minimal coupling: exact spectrum

    NASA Astrophysics Data System (ADS)

    Panotopoulos, Grigoris

    2018-06-01

    We perturb the non-rotating BTZ black hole with a non-minimally coupled massless scalar field, and we compute the quasinormal spectrum exactly. We solve the radial equation in terms of hypergeometric functions, and we obtain an analytical expression for the quasinormal frequencies. In addition, we compare our analytical results with the 6th order semi-analytical WKB method, and we find an excellent agreement. The impact of the nonminimal coupling as well as of the cosmological constant on the quasinormal spectrum is briefly discussed.

  7. Faà di Bruno's formula and the distributions of random partitions in population genetics and physics.

    PubMed

    Hoppe, Fred M

    2008-06-01

    We show that the formula of Faà di Bruno for the derivative of a composite function gives, in special cases, the sampling distributions in population genetics that are due to Ewens and to Pitman. The composite function is the same in each case. Other sampling distributions also arise in this way, such as those arising from Dirichlet, multivariate hypergeometric, and multinomial models, special cases of which correspond to Bose-Einstein, Fermi-Dirac, and Maxwell-Boltzmann distributions in physics. Connections are made to compound sampling models.

  8. On the arbitrary l-wave solutions of the deformed hyperbolic manning-rosen potential including an improved approximation to the orbital centrifugal term

    NASA Astrophysics Data System (ADS)

    Xu, Chun-Long; Zhang, Min-Cang

    2017-01-01

    The arbitrary l-wave solutions to the Schrödinger equation for the deformed hyperbolic Manning-Rosen potential is investigated analytically by using the Nikiforov-Uvarov method, the centrifugal term is treated with an improved Greene and Aldrich's approximation scheme. The wavefunctions depend on the deformation parameter q, which is expressed in terms of the Jocobi polynomial or the hypergeometric function. The bound state energy is obtained, and the discrete spectrum is shown to be independent of the deformation parameter q.

  9. Spiral Galaxy Lensing: A Model with Twist

    NASA Astrophysics Data System (ADS)

    Bell, Steven R.; Ernst, Brett; Fancher, Sean; Keeton, Charles R.; Komanduru, Abi; Lundberg, Erik

    2014-12-01

    We propose a single galaxy gravitational lensing model with a mass density that has a spiral structure. Namely, we extend the arcsine gravitational lens (a truncated singular isothermal elliptical model), adding an additional parameter that controls the amount of spiraling in the structure of the mass density. An important feature of our model is that, even though the mass density is sophisticated, we succeed in integrating the deflection term in closed form using a Gauss hypergeometric function. When the spiraling parameter is set to zero, this reduces to the arcsine lens.

  10. Some Remarks on Solutions of Fermats Last Equation in Terms of Wright’s Hypergeometric Function

    DTIC Science & Technology

    1990-02-16

    DISTRIBUTION/AVAILABILITY OF ABSTRACT 121 ABSTRACT SECURITY CLASSIFICATION MUNCLASSIFIED/UNLIMITED C SAME AS RPT 0 DTIC USERS UNCLASSIFIED 22a NAME...A) = (u/vl)", 4’ C \\) = (U/V)%, then from Lemma 2 we have (UsV2)n + (U2VI )n = V2) and the theorem is proved. ANOTHER DERIVATION OF EQ. (10) From Eq. (3... Ramanujan (7, pp. 71, 307] studied and derived solutions of trinonials in Chapter 3 of his notebooks (1903-1914) and in his first quarterly report

  11. Highway Maintenance Equipment Operator: Basic Core. Training Materials.

    ERIC Educational Resources Information Center

    Perky, Sandra Dutreau; And Others

    This basic core curriculum is part of a three-part series of instructional guides designed for use in teaching a course in highway maintenance equipment operation. Addressed in the individual units of the curriculum, after an orientation unit, are safety; basic math; basic hand tools; procedures for loading. lashing, and unloading equipment;…

  12. Integrated metagenomic analysis of the rumen microbiome of cattle reveals key biological mechanisms associated with methane traits.

    PubMed

    Wang, Haiying; Zheng, Huiru; Browne, Fiona; Roehe, Rainer; Dewhurst, Richard J; Engel, Felix; Hemmje, Matthias; Lu, Xiangwu; Walsh, Paul

    2017-07-15

    Methane is one of the major contributors to global warming. The rumen microbiota is directly involved in methane production in cattle. The link between variation in rumen microbial communities and host genetics has important applications and implications in bioscience. Having the potential to reveal the full extent of microbial gene diversity and complex microbial interactions, integrated metagenomics and network analysis holds great promise in this endeavour. This study investigates the rumen microbial community in cattle through the integration of metagenomic and network-based approaches. Based on the relative abundance of 1570 microbial genes identified in a metagenomics analysis, the co-abundance network was constructed and functional modules of microbial genes were identified. One of the main contributions is to develop a random matrix theory-based approach to automatically determining the correlation threshold used to construct the co-abundance network. The resulting network, consisting of 549 microbial genes and 3349 connections, exhibits a clear modular structure with certain trait-specific genes highly over-represented in modules. More specifically, all the 20 genes previously identified to be associated with methane emissions are found in a module (hypergeometric test, p<10 -11 ). One third of genes are involved in methane metabolism pathways. The further examination of abundance profiles across 8 samples of genes highlights that the revealed pattern of metagenomics abundance has a strong association with methane emissions. Furthermore, the module is significantly enriched with microbial genes encoding enzymes that are directly involved in methanogenesis (hypergeometric test, p<10 -9 ). Copyright © 2017 Elsevier Inc. All rights reserved.

  13. Children's Literature in the Basals.

    ERIC Educational Resources Information Center

    O'Brien, Maureen A.

    Three basal reading series, levels kindergarten through grade three, were studied to categorize the types of literature each contained. The following series were analyzed: "The Headway Program" (Open Court Publishing Company), "Series r Macmillan Reading," and "Basics in Reading" (Scott, Foresman and Company). It was…

  14. Back to the Basics: Kansas City, Missouri

    ERIC Educational Resources Information Center

    Handley, Lawrence R.; Lockwood, Catherine M.; Handley, Nathan

    2004-01-01

    "Back to the Basics" is an innovation of the WETMAAP Program (Wetland Education Through Maps and Aerial Photography) which offers a series of workshops that provide training in basics ecological concepts, technological skills, and methods of interpretation necessary for assessing geography and earth science topics. The precept of the…

  15. Stability under scalar perturbations and quasinormal modes of 4D Einstein-Born-Infeld dilaton spacetime: exact spectrum

    NASA Astrophysics Data System (ADS)

    Destounis, Kyriakos; Panotopoulos, Grigoris; Rincón, Ángel

    2018-02-01

    We study the stability under scalar perturbations, and we compute the quasinormal modes of the Einstein-Born-Infeld dilaton spacetime in 1+3 dimensions. Solving the full radial equation in terms of hypergeometric functions, we provide an exact analytical expression for the spectrum. We find that the frequencies are purely imaginary, and we confirm our results by computing them numerically. Although the scalar field that perturbs the black hole is electrically neutral, an instability similar to that seen in charged scalar perturbations of the Reissner-Nordström black hole is observed.

  16. Fractional dynamics using an ensemble of classical trajectories

    NASA Astrophysics Data System (ADS)

    Sun, Zhaopeng; Dong, Hao; Zheng, Yujun

    2018-01-01

    A trajectory-based formulation for fractional dynamics is presented and the trajectories are generated deterministically. In this theoretical framework, we derive a new class of estimators in terms of confluent hypergeometric function (F11) to represent the Riesz fractional derivative. Using this method, the simulation of free and confined Lévy flight are in excellent agreement with the exact numerical and analytical results. In addition, the barrier crossing in a bistable potential driven by Lévy noise of index α is investigated. In phase space, the behavior of trajectories reveal the feature of Lévy flight in a better perspective.

  17. Basic Skills & the Health Care Industry. Workforce & Workplace Literacy Series. Revised.

    ERIC Educational Resources Information Center

    BCEL Brief, 1993

    1993-01-01

    This brief is a combination directory of contact persons and annotated bibliography designed to provide information on developing and implementing basic skills training programs for workers in the health care industry. The first section contains information on 33 contact persons currently operating employee basic skills programs for health care…

  18. Haitian Creole Basic Course: Volume III, Lessons 21-30.

    ERIC Educational Resources Information Center

    Defense Language Inst., Washington, DC.

    This volume, the third in a series comprising the field-test edition of the Defense Language Institute's "Haitian Creole Basic Course," is extracted primarily from the instructor's guide to materials contained in Albert Valdman's "Basic Course in Haitian Creole." Materials are arranged in the order of their use in the classroom. Content of each…

  19. Haitian Creole Basic Course: Volume II, Lessons 11-20.

    ERIC Educational Resources Information Center

    Defense Language Inst., Washington, DC.

    This volume, the second in a series comprising the field-test edition of the Defense Language Institute's "Haitian Creole Basic Course," is extracted primarily from the instructor's guide to materials contained in Albert Valdman's "Basic Course in Haitian Creole." Materials are arranged in the order of their use in the classroom. Content of each…

  20. The Correlated Lecture Laboratory Series in Diagnostic Radiological Physics.

    ERIC Educational Resources Information Center

    Lamel, David A.; And Others

    This series in diagnostic radiological physics has been designed to provide the physics background requisite for the proper conduct of medical diagnostic x-ray examinations. The basic goal of the series is to bridge physics theory and radiological practice, achieved by combining pertinent lecture material with laboratory exercises that illustrate…

  1. User Manual for the Data-Series Interface of the Gr Application Software

    USGS Publications Warehouse

    Donovan, John M.

    2009-01-01

    This manual describes the data-series interface for the Gr Application software. Basic tasks such as plotting, editing, manipulating, and printing data series are presented. The properties of the various types of data objects and graphical objects used within the application, and the relationships between them also are presented. Descriptions of compatible data-series file formats are provided.

  2. Discovery: An Introduction. Alaska Sea Week Curriculum Series. Alaska Sea Grant Report 83-6.

    ERIC Educational Resources Information Center

    Mickelson, Belle; And Others

    This curriculum guide is the first (Series I) in a six-volume set that comprises the Sea Week Curriculum Series developed in Alaska. As a basic introduction, this first book in the series lends itself to the kindergarten level but can be adapted to preschool, secondary, and adult education. Six units contain 32 activities with worksheets that…

  3. High-temperature asymptotics of supersymmetric partition functions

    DOE PAGES

    Ardehali, Arash Arabi

    2016-07-05

    We study the supersymmetric partition function of 4d supersymmetric gauge theories with a U(1) R-symmetry on Euclidean S 3 × S β 1, with S 3 the unit-radius squashed three-sphere, and β the circumference of the circle. For superconformal theories, this partition function coincides (up to a Casimir energy factor) with the 4d superconformal index. The partition function can be computed exactly using the supersymmetric localization of the gauge theory path-integral. It takes the form of an elliptic hypergeometric integral, which may be viewed as a matrix-integral over the moduli space of the holonomies of the gauge fields around Smore » β 1. At high temperatures (β → 0, corresponding to the hyperbolic limit of the elliptic hypergeometric integral) we obtain from the matrix-integral a quantum effective potential for the holonomies. The effective potential is proportional to the temperature. Therefore the high-temperature limit further localizes the matrix-integral to the locus of the minima of the potential. If the effective potential is positive semi-definite, the leading high-temperature asymptotics of the partition function is given by the formula of Di Pietro and Komargodski, and the subleading asymptotics is connected to the Coulomb branch dynamics on R 3 × S 1. In theories where the effective potential is not positive semi-definite, the Di Pietro-Komargodski formula needs to be modified. In particular, this modification occurs in the SU(2) theory of Intriligator-Seiberg-Shenker, and the SO(N) theory of Brodie-Cho-Intriligator, both believed to exhibit “misleading” anomaly matchings, and both believed to yield interacting superconformal field theories with c < a. Lastly, two new simple tests for dualities between 4d supersymmetric gauge theories emerge as byproducts of our analysis.« less

  4. Guidelines for Use of the Approximate Beta-Poisson Dose-Response Model.

    PubMed

    Xie, Gang; Roiko, Anne; Stratton, Helen; Lemckert, Charles; Dunn, Peter K; Mengersen, Kerrie

    2017-07-01

    For dose-response analysis in quantitative microbial risk assessment (QMRA), the exact beta-Poisson model is a two-parameter mechanistic dose-response model with parameters α>0 and β>0, which involves the Kummer confluent hypergeometric function. Evaluation of a hypergeometric function is a computational challenge. Denoting PI(d) as the probability of infection at a given mean dose d, the widely used dose-response model PI(d)=1-(1+dβ)-α is an approximate formula for the exact beta-Poisson model. Notwithstanding the required conditions α<β and β>1, issues related to the validity and approximation accuracy of this approximate formula have remained largely ignored in practice, partly because these conditions are too general to provide clear guidance. Consequently, this study proposes a probability measure Pr(0 < r < 1 | α̂, β̂) as a validity measure (r is a random variable that follows a gamma distribution; α̂ and β̂ are the maximum likelihood estimates of α and β in the approximate model); and the constraint conditions β̂>(22α̂)0.50 for 0.02<α̂<2 as a rule of thumb to ensure an accurate approximation (e.g., Pr(0 < r < 1 | α̂, β̂) >0.99) . This validity measure and rule of thumb were validated by application to all the completed beta-Poisson models (related to 85 data sets) from the QMRA community portal (QMRA Wiki). The results showed that the higher the probability Pr(0 < r < 1 | α̂, β̂), the better the approximation. The results further showed that, among the total 85 models examined, 68 models were identified as valid approximate model applications, which all had a near perfect match to the corresponding exact beta-Poisson model dose-response curve. © 2016 Society for Risk Analysis.

  5. Candidate genes for obesity-susceptibility show enriched association within a large genome-wide association study for BMI.

    PubMed

    Vimaleswaran, Karani S; Tachmazidou, Ioanna; Zhao, Jing Hua; Hirschhorn, Joel N; Dudbridge, Frank; Loos, Ruth J F

    2012-10-15

    Before the advent of genome-wide association studies (GWASs), hundreds of candidate genes for obesity-susceptibility had been identified through a variety of approaches. We examined whether those obesity candidate genes are enriched for associations with body mass index (BMI) compared with non-candidate genes by using data from a large-scale GWAS. A thorough literature search identified 547 candidate genes for obesity-susceptibility based on evidence from animal studies, Mendelian syndromes, linkage studies, genetic association studies and expression studies. Genomic regions were defined to include the genes ±10 kb of flanking sequence around candidate and non-candidate genes. We used summary statistics publicly available from the discovery stage of the genome-wide meta-analysis for BMI performed by the genetic investigation of anthropometric traits consortium in 123 564 individuals. Hypergeometric, rank tail-strength and gene-set enrichment analysis tests were used to test for the enrichment of association in candidate compared with non-candidate genes. The hypergeometric test of enrichment was not significant at the 5% P-value quantile (P = 0.35), but was nominally significant at the 25% quantile (P = 0.015). The rank tail-strength and gene-set enrichment tests were nominally significant for the full set of genes and borderline significant for the subset without SNPs at P < 10(-7). Taken together, the observed evidence for enrichment suggests that the candidate gene approach retains some value. However, the degree of enrichment is small despite the extensive number of candidate genes and the large sample size. Studies that focus on candidate genes have only slightly increased chances of detecting associations, and are likely to miss many true effects in non-candidate genes, at least for obesity-related traits.

  6. Reviews, Software.

    ERIC Educational Resources Information Center

    Science Teacher, 1988

    1988-01-01

    Reviews two software programs for Apple series computers. Includes "Orbital Mech," a basic planetary orbital simulation for the Macintosh, and "START: Stimulus and Response Tools for Experiments in Memory, Learning, Cognition, and Perception," a program that demonstrates basic psychological principles and experiments. (CW)

  7. Anaerobic Digestion I. Sludge Treatment and Disposal Course #166. Instructor's Guide [and] Student Workbook.

    ERIC Educational Resources Information Center

    Arasmith, E. E.

    This lesson is the first of a two-part series on anaerobic digestion. Topics discussed include the five basic functions of an anaerobic digester, basic theory of the biological processes involved, basic equipment necessary for digestion, and the products of digestion. The lesson includes an instructor's guide and student workbook. The instructor's…

  8. Basic Measurement and Related Careers: Level C.

    ERIC Educational Resources Information Center

    Ohio State Univ., Columbus. Center for Vocational and Technical Education.

    The teaching guide, part of a series of four, consists of learning experiences for use at the levels of grades 3 and 4 in mathematics. It focuses on the basic concepts of measurement and developing measurement skills in the early grades. It progresses to the concept of measurement by comparison and to developing basic volume measurement skills.…

  9. An Integrated Visualization and Basic Molecular Modeling Laboratory for First-Year Undergraduate Medicinal Chemistry

    ERIC Educational Resources Information Center

    Hayes, Joseph M.

    2014-01-01

    A 3D model visualization and basic molecular modeling laboratory suitable for first-year undergraduates studying introductory medicinal chemistry is presented. The 2 h practical is embedded within a series of lectures on drug design, target-drug interactions, enzymes, receptors, nucleic acids, and basic pharmacokinetics. Serving as a teaching aid…

  10. Money Management and the Consumer, Basic Economic Skills: "Baffled, Bothered, Bewildered".

    ERIC Educational Resources Information Center

    Florida State Dept. of Education, Tallahassee. Div. of Elementary and Secondary Education.

    This document, one in a series of six Project SCAT (Skills for Consumers Applied Today) units for senior high school students, provides an overview of basic economic skills and consumer practices. Project SCAT is designed to help students develop basic skills, solve problems, and apply consumer knowledge necessary for making wise choices in the…

  11. Linear-Algebra Programs

    NASA Technical Reports Server (NTRS)

    Lawson, C. L.; Krogh, F. T.; Gold, S. S.; Kincaid, D. R.; Sullivan, J.; Williams, E.; Hanson, R. J.; Haskell, K.; Dongarra, J.; Moler, C. B.

    1982-01-01

    The Basic Linear Algebra Subprograms (BLAS) library is a collection of 38 FORTRAN-callable routines for performing basic operations of numerical linear algebra. BLAS library is portable and efficient source of basic operations for designers of programs involving linear algebriac computations. BLAS library is supplied in portable FORTRAN and Assembler code versions for IBM 370, UNIVAC 1100 and CDC 6000 series computers.

  12. Haitian Creole Basic Course: Student Text, Volume I, Lessons 1-10.

    ERIC Educational Resources Information Center

    Defense Language Inst., Washington, DC.

    This volume, the first in a series comprising the field-test edition of the Defense Language Institute's "Haitian Creole Basic Course," is extracted primarily from the instructor's guide to materials contained in Albert Valdman's "Basic Course in Haitian Creole." Materials are arranged in the order of their use in the classroom. Content of each…

  13. Nondestructive Testing Eddy Current Basic Principles RQA/M1-5330.12 (V-I).

    ERIC Educational Resources Information Center

    National Aeronautics and Space Administration, Huntsville, AL. George C. Marshall Space Flight Center.

    As one in the series of programmed instruction handbooks, prepared by the U.S. space program, home study material is presented in this volume concerning familiarization and orientation on basic eddy current principles. The subject is presented under the following headings: Basic Eddy Current Concepts, Eddy Current Generation and Distribution,…

  14. Improving the Basic Skills of Vocational-Technical Students: An Administrator's Guide. Competency-Based Vocational Education Administrator Module Series.

    ERIC Educational Resources Information Center

    Ohio State Univ., Columbus. National Center for Research in Vocational Education.

    This guide provides information and guidelines intended to assist vocational administrators in developing and evaluating programs to improve the basic skills of vocational-technical students. Part one provides background information about basic skills and examines their role in vocational education. Discussed next are various program types,…

  15. The Working Experience. Teacher's Manual.

    ERIC Educational Resources Information Center

    Smith, Jeanne H.; Ringel, Harry

    A teacher's manual is presented for "The Working Experience," a series of three texts for English-as-a-Second-Language (ESL) students. The series builds on oral skills to develop reading and writing ability while still expanding oral English-language proficiency. Because one of the basic principles underlying the series is the idea that students…

  16. Module Twelve: Series AC Resistive-Reactive Circuits; Basic Electricity and Electronics Individualized Learning System.

    ERIC Educational Resources Information Center

    Bureau of Naval Personnel, Washington, DC.

    The module covers series circuits which contain both resistive and reactive components and methods of solving these circuits for current, voltage, impedance, and phase angle. The module is divided into six lessons: voltage and impedance in AC (alternating current) series circuits, vector computations, rectangular and polar notation, variational…

  17. Administration of medicines. Midwifery basics.

    PubMed

    Baston, Helen

    2002-04-01

    Midwifery Basics is a series of articles that cover the main clinical skills underpinning midwifery practice. The series uses National Occupational Standards (Care Sector Consortium 1998) as a framework to identify the areas of competence that students need to achieve in order to master clinical skills. This format is combined with the use of 'triggers' to prompt the student to identify what she needs to know in order to care for a client in such a situation. The information that follows then enables the student to fill in the gaps in her knowledge.

  18. Analytical study of fractional equations describing anomalous diffusion of energetic particles

    NASA Astrophysics Data System (ADS)

    Tawfik, A. M.; Fichtner, H.; Schlickeiser, R.; Elhanbaly, A.

    2017-06-01

    To present the main influence of anomalous diffusion on the energetic particle propagation, the fractional derivative model of transport is developed by deriving the fractional modified Telegraph and Rayleigh equations. Analytical solutions of the fractional modified Telegraph and the fractional Rayleigh equations, which are defined in terms of Caputo fractional derivatives, are obtained by using the Laplace transform and the Mittag-Leffler function method. The solutions of these fractional equations are given in terms of special functions like Fox’s H, Mittag-Leffler, Hermite and Hyper-geometric functions. The predicted travelling pulse solutions are discussed in each case for different values of fractional order.

  19. Explicit densities of multidimensional ballistic Lévy walks.

    PubMed

    Magdziarz, Marcin; Zorawik, Tomasz

    2016-08-01

    Lévy walks have proved to be useful models of stochastic dynamics with a number of applications in the modeling of real-life phenomena. In this paper we derive explicit formulas for densities of the two- (2D) and three-dimensional (3D) ballistic Lévy walks, which are most important in applications. It turns out that in the 3D case the densities are given by elementary functions. The densities of the 2D Lévy walks are expressed in terms of hypergeometric functions and the right-side Riemann-Liouville fractional derivative, which allows us to efficiently evaluate them numerically. The theoretical results agree perfectly with Monte Carlo simulations.

  20. 4d N = 1 quiver gauge theories and the An Bailey lemma

    NASA Astrophysics Data System (ADS)

    Brünner, Frederic; Spiridonov, Vyacheslav P.

    2018-03-01

    We study the integral Bailey lemma associated with the An-root system and identities for elliptic hypergeometric integrals generated thereby. Interpreting integrals as superconformal indices of four-dimensional N = 1 quiver gauge theories with the gauge groups being products of SU(n + 1), we provide evidence for various new dualities. Further confirmation is achieved by explicitly checking that the `t Hooft anomaly matching conditions holds. We discuss a flavour symmetry breaking phenomenon for supersymmetric quantum chromodynamics (SQCD), and by making use of the Bailey lemma we indicate its manifestation in a web of linear quivers dual to SQCD that exhibits full s-confinement.

  1. Evolution of spherical cavitation bubbles: Parametric and closed-form solutions

    NASA Astrophysics Data System (ADS)

    Mancas, Stefan C.; Rosu, Haret C.

    2016-02-01

    We present an analysis of the Rayleigh-Plesset equation for a three dimensional vacuous bubble in water. In the simplest case when the effects of surface tension are neglected, the known parametric solutions for the radius and time evolution of the bubble in terms of a hypergeometric function are briefly reviewed. By including the surface tension, we show the connection between the Rayleigh-Plesset equation and Abel's equation, and obtain the parametric rational Weierstrass periodic solutions following the Abel route. In the same Abel approach, we also provide a discussion of the nonintegrable case of nonzero viscosity for which we perform a numerical integration.

  2. Elliptic Integrals in the Minkowski Plane

    DTIC Science & Technology

    1991-05-09

    factorial Pochhammer notation F(a + k) (a)k - (a) Let F(a, b , c denote the hypergeometric function. Assume c - a - b = d , where d is a positive...integer. Then in a neighborhood of C = 1 , ((d) F(a+ b+d) d-1 (a)n (b)n )n(22) F(a , b , a + b + d , () = E~ )rb+ 0-’)n( ) r(a +d) r(b +d) n =O0( ’d’ n...axes a , b and eccentriaty e = c where c = Ta2 - b2 . Let P denote one of the foci of the ellipse. Then (26) 1 1 1 2 and(26) ar+(K, P) 2 -er F(- 1

  3. Exactly and quasi-exactly solvable 'discrete' quantum mechanics.

    PubMed

    Sasaki, Ryu

    2011-03-28

    A brief introduction to discrete quantum mechanics is given together with the main results on various exactly solvable systems. Namely, the intertwining relations, shape invariance, Heisenberg operator solutions, annihilation/creation operators and dynamical symmetry algebras, including the q-oscillator algebra and the Askey-Wilson algebra. A simple recipe to construct exactly and quasi-exactly solvable (QES) Hamiltonians in one-dimensional 'discrete' quantum mechanics is presented. It reproduces all the known Hamiltonians whose eigenfunctions consist of the Askey scheme of hypergeometric orthogonal polynomials of a continuous or a discrete variable. Several new exactly and QES Hamiltonians are constructed. The sinusoidal coordinate plays an essential role.

  4. Properties of 91 Southern Soil Series

    Treesearch

    Basil D. Doss; W. M. Broadfoot

    1956-01-01

    From June 1954 to July 1955 the Vicksburg Infiltration Project collected and analyzed samples of 91 soil series in 7 southern states. The purpose was to supply the U. S. Army with information needed for specialized research on military trafficability, but the basic data on soil properties should be of interest to soil scientists generally. The 91 series may be...

  5. Analysis of Time-Series Quasi-Experiments. Final Report.

    ERIC Educational Resources Information Center

    Glass, Gene V.; Maguire, Thomas O.

    The objective of this project was to investigate the adequacy of statistical models developed by G. E. P. Box and G. C. Tiao for the analysis of time-series quasi-experiments: (1) The basic model developed by Box and Tiao is applied to actual time-series experiment data from two separate experiments, one in psychology and one in educational…

  6. Module Five: Relationships of Current, Voltage, and Resistance; Basic Electricity and Electronics Individualized Learning System.

    ERIC Educational Resources Information Center

    Bureau of Naval Personnel, Washington, DC.

    This module covers the relationships between current and voltage; resistance in a series circuit; how to determine the values of current, voltage, resistance, and power in resistive series circuits; the effects of source internal resistance; and an introduction to the troubleshooting of series circuits. This module is divided into five lessons:…

  7. The Working Experience Books 1, 2, and 3.

    ERIC Educational Resources Information Center

    Smith, Jeanne H.; Ringel, Harry

    Books 1, 2, and 3 of "The Working Experience," a series of texts for English-as-a-Second-Language (ESL) students, are contained in this document. The series builds on oral skills to develop reading and writing ability while still expanding oral English-language proficiency. Since one of the basic principles underlying the series is the idea that…

  8. The focus series: A collection of single-concept remote sensing educational materials

    NASA Technical Reports Server (NTRS)

    Davis, S. M.

    1977-01-01

    The FOCUS series is a collection of two-page foldout documents each consisting of a diagram or photograph and an extended option of three to four hundred words. The series was developed to present basic remote sensing concepts in a simple, concise way. Issues currently available are collected in this information note.

  9. English: Basic Mechanics Modules 4 and 5.

    ERIC Educational Resources Information Center

    Pipeline, 1983

    1983-01-01

    "English: Basic Mechanics" is a series of computer-based lessons for the Apple II that allow students to practice applying the fundamentals of English grammar and punctuation. The two newest modules covering use of subordinate clauses and use of subordinate phrases are described. (JN)

  10. Basic Facialist. Teacher Edition. Cosmetology Series.

    ERIC Educational Resources Information Center

    Rogers, Jeanette A.

    This Oklahoma curriculum guide contains six units. Each instructional unit includes some or all of these basic components: performance objectives; suggested activities for the teacher; pretest; handouts; information sheets; transparency masters; assignment sheets; job sheets; practical tests; written tests; and answers to pretest, assignment…

  11. The Audit Committee. Board Basics

    ERIC Educational Resources Information Center

    Ostrom, John S.

    2004-01-01

    The Effective Committees set of booklets comprises publications on the following committees: investment, buildings and grounds, academic affairs, student affairs, finance, development, trustees, audit, compensation, and executive. It is part of the AGB Board Basics Series. This report describes the primary role of an audit committee. The primary…

  12. Basic Auditory Processing and Developmental Dyslexia in Chinese

    ERIC Educational Resources Information Center

    Wang, Hsiao-Lan Sharon; Huss, Martina; Hamalainen, Jarmo A.; Goswami, Usha

    2012-01-01

    The present study explores the relationship between basic auditory processing of sound rise time, frequency, duration and intensity, phonological skills (onset-rime and tone awareness, sound blending, RAN, and phonological memory) and reading disability in Chinese. A series of psychometric, literacy, phonological, auditory, and character…

  13. Dependence of the basic properties of meso-nitro-substituted derivatives of β-octaethylporphyrin on the nature of substituents

    NASA Astrophysics Data System (ADS)

    Pukhovskaya, S. G.; Ivanova, Yu. B.; Nam, Dao The; Vashurin, A. S.

    2014-10-01

    Spectrophotometric titration is used to study the basic properties of a series of porphyrins with a continuously increasing degree of macrocycle deformation resulting from the introduction of strong electron-withdrawing substituents: 2,3,7,8,12,13,17,18-octaethylporphyrin ( I), 5-nitro-2,3,7,8,12,13,17,18-octaethylporphyrin ( II), 5,15-dinitro-2,3,7,8,12,13,17,18-octaethylporphyrin ( III), 5,10,15-trinitro-2,3,7,8,12,13,17,18-octaethylporphyrin ( IV), and 5,10,15,20-tetranitro-2,3,7,8,12,13,17,18-octaethylporphyrin ( V). It is found that the values of log K b (total basicity constants) obtained for the investigated compounds consistently diminish with an increase in the number of meso-substituents: 11.85 ( I) > 10.45 ( II) > 10.31 ( III) > 10.23 ( IV) > 9.56 ( V). It is shown that two opposing factors, the steric and electronic effects of the substituents, change the basic properties of the above series of compounds.

  14. Modeling Non-Gaussian Time Series with Nonparametric Bayesian Model.

    PubMed

    Xu, Zhiguang; MacEachern, Steven; Xu, Xinyi

    2015-02-01

    We present a class of Bayesian copula models whose major components are the marginal (limiting) distribution of a stationary time series and the internal dynamics of the series. We argue that these are the two features with which an analyst is typically most familiar, and hence that these are natural components with which to work. For the marginal distribution, we use a nonparametric Bayesian prior distribution along with a cdf-inverse cdf transformation to obtain large support. For the internal dynamics, we rely on the traditionally successful techniques of normal-theory time series. Coupling the two components gives us a family of (Gaussian) copula transformed autoregressive models. The models provide coherent adjustments of time scales and are compatible with many extensions, including changes in volatility of the series. We describe basic properties of the models, show their ability to recover non-Gaussian marginal distributions, and use a GARCH modification of the basic model to analyze stock index return series. The models are found to provide better fit and improved short-range and long-range predictions than Gaussian competitors. The models are extensible to a large variety of fields, including continuous time models, spatial models, models for multiple series, models driven by external covariate streams, and non-stationary models.

  15. Unraveling multiple changes in complex climate time series using Bayesian inference

    NASA Astrophysics Data System (ADS)

    Berner, Nadine; Trauth, Martin H.; Holschneider, Matthias

    2016-04-01

    Change points in time series are perceived as heterogeneities in the statistical or dynamical characteristics of observations. Unraveling such transitions yields essential information for the understanding of the observed system. The precise detection and basic characterization of underlying changes is therefore of particular importance in environmental sciences. We present a kernel-based Bayesian inference approach to investigate direct as well as indirect climate observations for multiple generic transition events. In order to develop a diagnostic approach designed to capture a variety of natural processes, the basic statistical features of central tendency and dispersion are used to locally approximate a complex time series by a generic transition model. A Bayesian inversion approach is developed to robustly infer on the location and the generic patterns of such a transition. To systematically investigate time series for multiple changes occurring at different temporal scales, the Bayesian inversion is extended to a kernel-based inference approach. By introducing basic kernel measures, the kernel inference results are composed into a proxy probability to a posterior distribution of multiple transitions. Thus, based on a generic transition model a probability expression is derived that is capable to indicate multiple changes within a complex time series. We discuss the method's performance by investigating direct and indirect climate observations. The approach is applied to environmental time series (about 100 a), from the weather station in Tuscaloosa, Alabama, and confirms documented instrumentation changes. Moreover, the approach is used to investigate a set of complex terrigenous dust records from the ODP sites 659, 721/722 and 967 interpreted as climate indicators of the African region of the Plio-Pleistocene period (about 5 Ma). The detailed inference unravels multiple transitions underlying the indirect climate observations coinciding with established global climate events.

  16. The Video Handbook.

    ERIC Educational Resources Information Center

    1972

    In order to provide basic technical and production information for closed-circuit television, the editors have assembled this series of papers. Deisgned as an introductory guide for those entering the field, the handbook covers the basic areas of non-broadcast television. Starting with facilities and equipment the guide outlines the planning and…

  17. Basic Scientific Subroutines, Volume II.

    ERIC Educational Resources Information Center

    Ruckdeschel, F. R.

    This book, second in a series dealing with scientific programing in the BASIC language, provides students, engineers, and scientists with a documented library of subroutines for scientific applications. Subjects of the eight chapters include: (1) least-squares approximation of functions and smoothing of data; (2) approximating functions by series…

  18. Basic Stuff--Ideas for Implementation.

    ERIC Educational Resources Information Center

    Fox, Connie

    Use of the American Alliance for Health, Physical Education, Recreation and Dance (AAHPERD) "Basic Stuff" (1981) series (which includes six texts explaining each concept and three texts illustrating their use in the elementary, middle, and secondary schools) is recommended for physical education teacher preparation programs. A study was undertaken…

  19. Why Some Eligible Adults Choose Not To Participate in the Federal Adult Basic Education Program. Research on Adult Basic Education. Number 3 in Series of 3.

    ERIC Educational Resources Information Center

    Valentine, Thomas

    A great discrepancy exists between the potential number of adult basic education (ABE) participants (all adults who have not graduated from high school) and those who actually choose to participate in ABE. To determine why high school dropouts choose not to participate in ABE, telephone interviews were conducted with a carefully constructed,…

  20. Descriptive data analysis.

    PubMed

    Thompson, Cheryl Bagley

    2009-01-01

    This 13th article of the Basics of Research series is first in a short series on statistical analysis. These articles will discuss creating your statistical analysis plan, levels of measurement, descriptive statistics, probability theory, inferential statistics, and general considerations for interpretation of the results of a statistical analysis.

  1. DOE Office of Scientific and Technical Information (OSTI.GOV)

    Haber, Carl

    Summer Lecture Series 2006: Physicist Carl Haber and colleagues have found a way to digitize century-old recordings believed to be unplayable, and as a result, some of the music and spoken word recordings in the Library of Congress collection may spring back to life. Learn how basic scientific research done at Berkeley Lab may yield results of benefit in other areas of science and culture. Series: "Lawrence Berkeley National Laboratory Summer Lecture Series"

  2. Reframing Organizations: Artistry, Choice, and Leadership. Jossey-Bass Management Series, Social and Behavioral Science Series, and Higher and Adult Education Series.

    ERIC Educational Resources Information Center

    Bolman, Lee G.; Deal, Terrence E.

    This book shows how educators can become more versatile managers and more artistic leaders. In part 1, chapter 1 shows why reframing--the use of multiple lenses--is vital to effective leadership and management. It introduces the four basic lenses for organizational analysis--the structural, human resource, political, and symbolic frames--and show…

  3. Czech Basic Course: Air Force Dialogues.

    ERIC Educational Resources Information Center

    Defense Language Inst., Washington, DC.

    This is one of a series of supplementary materials used in the final phase of the "Czech Basic Course" developed and implemented at the Defense Language Institute. The purpose of this text is to acquaint students with specialized airport terminology pertaining to takeoff and landing precedures conducted in Czech. The dialogues, presented in…

  4. BASIC ELECTRICITY. SCIENCE IN ACTION SERIES, NUMBER 14.

    ERIC Educational Resources Information Center

    CASSEL, RICHARD

    THIS TEACHING GUIDE, INVOLVING ACTIVITIES FOR DEVELOPING AN UNDERSTANDING OF BASIC ELECTRICITY, EMPHASIZES STUDENT INVESTIGATIONS RATHER THAN FACTS, AND IS BASED ON THE PREMISE THAT THE MAJOR GOAL IN SCIENCE TEACHING IS THE DEVELOPMENT OF THE INVESTIGATIVE ATTITUDE IN THE STUDENT. ACTIVITIES SUGGESTED INVOLVE SIMPLE DEMONSTRATIONS AND EXPERIMENTS…

  5. Auto-Mechanics Course. Bilingual Vocational Instructional Materials.

    ERIC Educational Resources Information Center

    Lopez-Cox, Guadalupe

    This auto-mechanics course, one of a series of bilingual English-Spanish vocational education courses, is designed to introduce the basic skills that an automotive mechanics student should know. It is geared to teach the student basic manipulative skills, safety judgments, proper work habits, desirable attitudes, and proper behavior for initial…

  6. Diesel Mechanics: Fundamentals.

    ERIC Educational Resources Information Center

    Foutes, William; And Others

    This publication is the first in a series of three texts for a diesel mechanics curriculum. Its purpose is to teach the basic concepts related to employment in a diesel trade. Six sections contain 29 units. Each instructional unit includes some or all of these basic components: unit and specific (performance) objectives, suggested activities for…

  7. Cell biology: at the center of modern biomedicine.

    PubMed

    Budde, Priya Prakash; Williams, Elizabeth H; Misteli, Tom

    2012-10-01

    How does basic cell biology contribute to biomedicine? A new series of Features in JCB provides a cross section of compelling examples of how basic cell biology findings can lead to therapeutics. These articles highlight the fruitful, essential, and increasingly prominent bridge that exists between cell biology and the clinic.

  8. Household Arts: A Curriculum Guide. Professional Series 3.

    ERIC Educational Resources Information Center

    Markle, Roena J.

    Presented is a curriculum guide on household arts developed as part of the Adjustment Training Program of the Greater Pittsburgh Guild for the Blind. Objectives and learning experiences are described for the following seven units: orientation in the kitchen, basic food preparation, advanced food preparation, laundry, housekeeping, basic sewing,…

  9. Basic Emergency Medical Technician Skills Manual.

    ERIC Educational Resources Information Center

    Oklahoma State Dept. of Vocational and Technical Education, Stillwater. Curriculum and Instructional Materials Center.

    This manual was developed to help students preparing to become emergency medical technicians (EMTs) learn standardized basic skills in the field. The manual itemizes the steps and performance criteria of each required skill and uses an accompanying videotape series (not included) to enhance the educational experience. The five units of the manual,…

  10. The University of Missouri Adult Basic Education System.

    ERIC Educational Resources Information Center

    Mocker, Donald W.; Veri, Clive C.

    The University of Missouri adult basic education (ABE) system, developed from the ABE laboratory with the help of Title III funds, consists of a series of subsystems designed to effect behavioral change in undereducated adults through an individualized flexible approach to learning. The subsystems of diagnostic testing; individual counseling,…

  11. Basic Education Program Review Committee Annual Report.

    ERIC Educational Resources Information Center

    Tennessee State Board of Education, 2004

    2004-01-01

    In the effort to improve essential components of the Basic Education Program (BEP), the General Assembly has adopted legislation directing the BEP Review Committee to perform a comprehensive review of the funding formula, identifying needed revisions, additions, or deletions. This year, through a series of full-day meetings, the committee has…

  12. DIAGNOSIS AND APPRAISAL OF COMMUNICATION DISORDERS. PRENTICE-HALL FOUNDATIONS OF SPEECH PATHOLOGY SERIES.

    ERIC Educational Resources Information Center

    DARLEY, FREDERIC L.

    THIS TEXT GIVES THE STUDENT AN OUTLINE OF THE BASIC PRINCIPLES OF SCIENTIFIC METHODOLOGY WHICH UNDERLIE EVALUATIVE WORK IN SPEECH DISORDERS. RATIONALE AND ASSESSMENT TECHNIQUES ARE GIVEN FOR EXAMINATION OF THE BASIC COMMUNICATION PROCESSES OF SYMBOLIZATION, RESPIRATION, PHONATION, ARTICULATION-RESONANCE, PROSODY, ASSOCIATED SENSORY AND PERCEPTUAL…

  13. Instrumentation for Environmental Monitoring: Water, Volume 2.

    ERIC Educational Resources Information Center

    California Univ., Berkeley. Lawrence Berkeley Lab.

    This volume is one of a series discussing instrumentation for environmental monitoring. Each volume contains an overview of the basic problems, comparisons among the basic methods of sensing and detection, and notes that summarize the characteristics of presently available instruments and techniques. The text of this survey discusses the…

  14. POLLUTION EFFECTS OF ABNORMAL OPERATIONS IN IRON AND STEEL MAKING. VOLUME VI. BASIC OXYGEN PROCESS, MANUAL OF PRACTICE

    EPA Science Inventory

    The report is one in a six-volume series considering abnormal operating conditions (AOCs) in the primary section (sintering, blast furnace ironmaking, open hearth, electric furnace, and basic oxygen steelmaking) of an integrated iron and steel plant. Pollution standards, generall...

  15. Basic Operator. Teacher Edition. Cosmetology Series.

    ERIC Educational Resources Information Center

    Oklahoma State Dept. of Vocational and Technical Education, Stillwater. Curriculum and Instructional Materials Center.

    This curriculum guide is designed to support instruction in Oklahoma vocational cosmetology programs. The curriculum consists of 30 units of information and skills that are the foundation for students enrolled in cosmetology programs to become cosmetologists. Each of the instructional units includes some or all of the basic components of a unit of…

  16. Sport Skills (Selected). Curriculum Support Series.

    ERIC Educational Resources Information Center

    Manitoba Dept. of Education, Winnipeg.

    This resource package provides an overview of basic physical education skills. The first section describes the rationale, lists the objectives, and provides a scope and sequence chart indicating the times at which different activities can be introduced. The next three sections contain lists of the basic sport skills as well as teaching and…

  17. A Suggested Basic Course Outline for Industrial Electronics.

    ERIC Educational Resources Information Center

    Texas A and M Univ., College Station. Vocational Instructional Services.

    This course outline for industrial electronics, one of a series for teaching vocational industrial shop subjects in public schools, includes basic skills and technical information for the course. It should be supplemented with other complementary and necessary areas of related instruction. Fifteen major blocks, divided into 2 years of instruction,…

  18. Chinese-Cantonese (Toishan) Basic Course.

    ERIC Educational Resources Information Center

    Defense Language Inst., Washington, DC.

    This seven-volume series constitutes the Defense Language Institute (Army Language School) 47-week course in the Toishan dialect of Cantonese. Beginning lessons present the tone and sound system in romanized script. Chinese characters are introduced in the fourth lesson. (See related document AL 001 479, "Chinese Cantonese Basic Course,"…

  19. Basic Engineer Equipment Mechanic.

    ERIC Educational Resources Information Center

    Marine Corps Inst., Washington, DC.

    This student guide, one of a series of correspondence training courses designed to improve the job performance of members of the Marine Corps, deals with the skills needed by basic engineer equipment mechanics. Addressed in the four individual units of the course are the following topics: mechanics and their tools (mechanics, hand tools, and power…

  20. Developing More Effective Curriculum Via "Basic Stuff."

    ERIC Educational Resources Information Center

    Heitmann, Helen M.

    Discussed is the design and development of a physical education curriculum, incorporating principles discussed in the "Basic Stuff" physical education series. Four tasks are suggested for planning the curriculum: (1) develop a unit for activity instruction, where the concepts inherent in the sport or activity skills may be identified; (2) develop…

  1. Vacuum polarization in Coulomb field revisited

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    Zamastil, J., E-mail: zamastil@karlov.mff.cuni.cz; Šimsa, D.

    2017-04-15

    Simplified derivation of Wichmann–Kroll term is presented. The derivation uses two formulas for hypergeometric functions, but otherwise is elementary. It is found that Laplace transform of the vacuum charge density diverges at zero momentum transfer. This divergence has nothing to do with known ultraviolet divergence. The latter is related to the large momentum behavior of the pertinent integral, while the former to the small momentum behavior. When these divergences are removed, the energy shift caused by vacuum polarization for an ordinary hydrogen obtained here is in an exact agreement with the result obtained by Wichmann and Kroll. Also, for muonicmore » hydrogen the result obtained here reasonably agrees with that given in literature.« less

  2. Superbounce and loop quantum ekpyrotic cosmologies from modified gravity: F(R) , F(G) and F(T) theories

    NASA Astrophysics Data System (ADS)

    Odintsov, S. D.; Oikonomou, V. K.; Saridakis, Emmanuel N.

    2015-12-01

    We investigate the realization of two bouncing paradigms, namely of the superbounce and the loop quantum cosmological ekpyrosis, in the framework of various modified gravities. In particular, we focus on the F(R) , F(G) and F(T) gravities, and we reconstruct their specific subclasses which lead to such universe evolutions. These subclasses constitute from power laws, polynomials, or hypergeometric ansatzes, which can be approximated by power laws. The qualitative similarity of the different effective gravities which realize the above two bouncing cosmologies, indicates that a universality might be lying behind the bounce. Finally, performing a linear perturbation analysis, we show that the obtained solutions are conditionally or fully stable.

  3. Advances in the theory of box integrals

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    Bailey, David H.; Borwein, J.M.; Crandall, R.E.

    2009-06-25

    Box integrals - expectations <|{rvec r}|{sup s}> or <|{rvec r}-{rvec q}|{sup s}> over the unit n-cube (or n-box) - have over three decades been occasionally given closed forms for isolated n,s. By employing experimental mathematics together with a new, global analytic strategy, we prove that for n {le} 4 dimensions the box integrals are for any integer s hypergeometrically closed in a sense we clarify herein. For n = 5 dimensions, we show that a single unresolved integral we call K{sub 5} stands in the way of such hyperclosure proofs. We supply a compendium of exemplary closed forms that naturallymore » arise algorithmically from this theory.« less

  4. Notes on integral identities for 3d supersymmetric dualities

    NASA Astrophysics Data System (ADS)

    Aghaei, Nezhla; Amariti, Antonio; Sekiguchi, Yuta

    2018-04-01

    Four dimensional N=2 Argyres-Douglas theories have been recently conjectured to be described by N=1 Lagrangian theories. Such models, once reduced to 3d, should be mirror dual to Lagrangian N=4 theories. This has been numerically checked through the matching of the partition functions on the three sphere. In this article, we provide an analytic derivation for this result in the A 2 n-1 case via hyperbolic hypergeometric integrals. We study the D 4 case as well, commenting on some open questions and possible resolutions. In the second part of the paper we discuss other integral identities leading to the matching of the partition functions in 3d dual pairs involving higher monopole superpotentials.

  5. Spatio-temporal optimization of sampling for bluetongue vectors (Culicoides) near grazing livestock

    PubMed Central

    2013-01-01

    Background Estimating the abundance of Culicoides using light traps is influenced by a large variation in abundance in time and place. This study investigates the optimal trapping strategy to estimate the abundance or presence/absence of Culicoides on a field with grazing animals. We used 45 light traps to sample specimens from the Culicoides obsoletus species complex on a 14 hectare field during 16 nights in 2009. Findings The large number of traps and catch nights enabled us to simulate a series of samples consisting of different numbers of traps (1-15) on each night. We also varied the number of catch nights when simulating the sampling, and sampled with increasing minimum distances between traps. We used resampling to generate a distribution of different mean and median abundance in each sample. Finally, we used the hypergeometric distribution to estimate the probability of falsely detecting absence of vectors on the field. The variation in the estimated abundance decreased steeply when using up to six traps, and was less pronounced when using more traps, although no clear cutoff was found. Conclusions Despite spatial clustering in vector abundance, we found no effect of increasing the distance between traps. We found that 18 traps were generally required to reach 90% probability of a true positive catch when sampling just one night. But when sampling over two nights the same probability level was obtained with just three traps per night. The results are useful for the design of vector monitoring programmes on fields with grazing animals. PMID:23705770

  6. Imaging the Voices of the Past: Using Physics to Restore Early Sound Recordings (LBNL Summer Lecture Series)

    ScienceCinema

    Haber, Carl [Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

    2018-01-23

    Summer Lecture Series 2006: Physicist Carl Haber and colleagues have found a way to digitize century-old recordings believed to be unplayable, and as a result, some of the music and spoken word recordings in the Library of Congress collection may spring back to life. Learn how basic scientific research done at Berkeley Lab may yield results of benefit in other areas of science and culture. Series: "Lawrence Berkeley National Laboratory Summer Lecture Series"

  7. The Integration of Research in Judgment and Decision Theory

    DTIC Science & Technology

    1980-07-01

    off at any one of a series of choice points in a basically linear, unidimensional, all-or-none series of relays is at least in part the result of the...Subjective and objective referents. An objective referent requires a series of observations in which inter-observer reliabilities approximate unity; as... series of studies by Br6hmer (1980). More generally, research as far back as that of Krechevsky’s in the 1930s was conducted precisely to show that

  8. Military Curricula for Vocational & Technical Education. Basic Electricity and Electronics. CANTRAC A-100-0010. Module 21: Basic Transistor Theory; Module 21T: Multi-Element Vacuum Tubes. Study Booklet.

    ERIC Educational Resources Information Center

    Chief of Naval Education and Training Support, Pensacola, FL.

    This set of individualized learning modules on transistor theory is one in a series of modules for a course in basic electricity and electronics. The course is one of a number of military-developed curriculum packages selected for adaptation to vocational instructional and curriculum development in a civilian setting. Two modules are included in…

  9. Spectroscopy, Understanding the Atom Series.

    ERIC Educational Resources Information Center

    Hellman, Hal

    This booklet is one of the "Understanding the Atom" Series. The science of spectroscopy is presented by a number of topics dealing with (1) the uses of spectroscopy, (2) its origin and background, (3) the basic optical systems of spectroscopes, spectrometers, and spectrophotometers, (4) the characteristics of wave motion, (5) the…

  10. Extending Horizons: Employers as Partners. Research and Development Series No. 257E.

    ERIC Educational Resources Information Center

    McKinney, Lorella A.; West, Catherine

    This companion document designed to provide employers with basic information, understanding, and facts regarding the employment capabilities of handicapped persons; five other companion documents; and an inservice guide comprise a series developed for assisting disabled persons in their transition from school to work. An introduction presents…

  11. Cafe Data

    ERIC Educational Resources Information Center

    DePaolo, Concetta A.; Robinson, David F.

    2011-01-01

    In this paper we present time series data collected from a cafe run by business students at a Midwestern public university. The data were collected over a ten-week period during the spring semester of 2010. These data can be used in introductory courses to illustrate basic concepts of time series and forecasting, including trend, seasonality, and…

  12. Evaluating ITV Production Techniques: Community of Living Things.

    ERIC Educational Resources Information Center

    Crum, Lawrence E.

    Effective production techniques for an ITV series, "Community of Living Things," are evaluated in this paper. The program is part of a junior high life science series. Five basic practices, chosen for their student interest and instructional value, were utilized: (1) rapidity of visualization, (2) few teacher appearances, (3) repetitive film…

  13. Lasers, Understanding the Atom Series.

    ERIC Educational Resources Information Center

    Hellman, Hal

    This booklet is one of the booklets in the "Understanding the Atom Series" published by the U. S. Atomic Energy Commission for high school science teachers and their students. Basic information for understanding the laser is provided including discussion of the electromagnetic spectrum, radio waves, light and the atom, coherent light, controlled…

  14. PhysioNet: physiologic signals, time series and related open source software for basic, clinical, and applied research.

    PubMed

    Moody, George B; Mark, Roger G; Goldberger, Ary L

    2011-01-01

    PhysioNet provides free web access to over 50 collections of recorded physiologic signals and time series, and related open-source software, in support of basic, clinical, and applied research in medicine, physiology, public health, biomedical engineering and computing, and medical instrument design and evaluation. Its three components (PhysioBank, the archive of signals; PhysioToolkit, the software library; and PhysioNetWorks, the virtual laboratory for collaborative development of future PhysioBank data collections and PhysioToolkit software components) connect researchers and students who need physiologic signals and relevant software with researchers who have data and software to share. PhysioNet's annual open engineering challenges stimulate rapid progress on unsolved or poorly solved questions of basic or clinical interest, by focusing attention on achievable solutions that can be evaluated and compared objectively using freely available reference data.

  15. The Connection between Employee Basic Skills & Productivity. Workforce & Workplace Literacy Series.

    ERIC Educational Resources Information Center

    BCEL Brief, 1993

    1993-01-01

    The experience of a number of specific local workplace programs indicates a definite connection between the provision of employee basic skills programs and increased worker productivity. One Tennessee company, for example, reports a 95 percent drop in costs resulting from worker mistakes and a doubling of worker productivity since the company…

  16. Occupational Safety: Orientation to the World of Work.

    ERIC Educational Resources Information Center

    Evans, Clarence; Wills, Richard

    The guide is one of a series of 10 units composing an orientation to the world of work course designed especially for disadvantaged and handicapped students in the ninth and tenth grades. It is designed to provide basic and remedial instruction in personal development, math, and language skills while providing information and skills basic or…

  17. Mathematics: A Practical View. Volume I, Teacher Edition. Applied Basic Curriculum Series.

    ERIC Educational Resources Information Center

    Evaluation, Dissemination and Assessment Center, Dallas.

    The activities in this volume of practical mathematics are intended for the intermediate grades. The manual contains three components which can be structured in different combinations according to different student needs. Built around a review of selected objectives in the mathematics basic curriculum, the material is intended to stimulate…

  18. Fundamentals of Welding. Teacher Edition [and] Student Edition [and] Student Workbook. Second Edition.

    ERIC Educational Resources Information Center

    Fortney, Clarence; Gregory, Mike; New, Larry

    Teacher and student editions and a student workbook for fundamentals of welding comprise the first of six in a series of competency-based instructional materials for welding programs. Introductory pages in the teacher edition are training and competency profile, instructional/task analysis, basic skills icons and classifications, basic skills…

  19. The Power of Protocols: An Educator's Guide to Better Practice. The Series on School Reform.

    ERIC Educational Resources Information Center

    McDonald, Joseph P.; Mohr, Nancy; Dichter, Alan; McDonald, Elizabeth C.

    This book describes nearly 30 protocols or "scripts" for conducting meetings, conversations, and other learning experiences among educators. Chapter 1, "The Basic Ideas," explains the basic ideas underlying the rest of the book, discussing why educators should educate themselves and making the case for exploring student work as…

  20. Electrical Experiments. VT-214-12-3. Part III. Basic Electronics.

    ERIC Educational Resources Information Center

    Connecticut State Dept. of Education, Hartford. Div. of Vocational Education.

    Designed for high school electronics students, this third document in a series of six electrical learning activity packages focuses on basic electronics. An introductory section gives the objective for the activities, an introduction, and an outline of the content. The remainder of the activity book is comprised of information sheets and job…

  1. Preventing Dropouts in Adult Basic Education. Research to Practice Series.

    ERIC Educational Resources Information Center

    Seaman, Don F.

    Reasons given by Adult Basic Education (ABE) students for leaving the program are interpreted and discussed, and implications for the ABE program are suggested. The reasons are classified into four categories: environment, physiology, wants and goals, and past experiences. The chief reasons given for dropping out in relation to the ABE program…

  2. Personal Development: Orientation to the World of Work.

    ERIC Educational Resources Information Center

    Nordloh, Mary J.

    The guide is one of a series of 10 units composing an orientation to the world of work course designed especially for disadvantaged and handicapped students in the ninth and tenth grades. It is designed to provide basic and remedial instruction in personal development, math, and language skills while providing information and skills basic or…

  3. Construction Trade Course. Bilingual Vocational Instructional Materials.

    ERIC Educational Resources Information Center

    Lopez-Cox, Guadalupe

    This building trades course, one of a series of bilingual English-Spanish vocational education courses, is designed to introduce the basic skills that a student must know in the construction field. It is geared to teach the student basic manipulative skills, safety judgments, proper work habits, desirable attitudes, and proper behavior for initial…

  4. Basic Automotive Responsibilities. Life Skills. Teacher Edition.

    ERIC Educational Resources Information Center

    Oklahoma State Dept. of Vocational and Technical Education, Stillwater. Curriculum and Instructional Materials Center.

    This teacher's guide is designed for use in presenting a four-unit course in basic automotive responsibilities that is part of a life skills series intended to help students become more self-sufficient in their personal and professional lives. The course's four instructional units cover these topics: purchasing a motor vehicle, maintaining a motor…

  5. Genetics and Mathematics: Evidence from Prader-Willi Syndrome

    ERIC Educational Resources Information Center

    Semenza, Carlo; Pignatti, Riccardo; Bertella, Laura; Ceriani, Francesca; Mori, Ileana; Molinari, Enrico; Giardino, Daniela; Malvestiti, Francesca; Grugni, Graziano

    2008-01-01

    Mathematical abilities were tested in people with Prader-Willi syndrome (PWS), using a series of basic mathematical tasks for which normative data are available. The difference between the deletion and the disomy variants of this condition was explored. While a wide phenotypic variation was found, some basic findings emerge clearly. As expected…

  6. Surface water records of New Mexico, water year 1963

    USGS Publications Warehouse

    ,

    1964-01-01

    This report is the third in a series presenting, annually, basic data on surface-water records by States. Through September 30, 1960, the records of discharge and stage of streams and contents and stage of lakes or reservoirs were published in an annual series of U. S. Geological Survey water-supply papers entitled "Surface Water Supply of the United States". Since 1951 there have been 20 volumes in the series; each volume covered an area whose boundaries coincided with those of certain natural drainage areas. The records in New Mexico were contained in Parts 7, 8, and 9 of that series. Beginning with the 1961 water year, streamflow records and related data will be released by the Geological Survey in annual reports on a State-boundary basis. Distribution of these basic-data reports will be limited and primarily for local needs. The records later will be published in Geological Survey water-supply papers at 5- year intervals. These 5-year water-supply papers will show daily discharge and will be compiled on the same geographical areas previously used for the annual series; however, some of the 14 parts of conterminous United States will be further subdivided.

  7. Analytical Solutions of the Gravitational Field Equations in de Sitter and Anti-de Sitter Spacetimes

    NASA Astrophysics Data System (ADS)

    Da Rocha, R.; Capelas Oliveira, E.

    2009-01-01

    The generalized Laplace partial differential equation, describing gravitational fields, is investigated in de Sitter spacetime from several metric approaches—such as the Riemann, Beltrami, Börner-Dürr, and Prasad metrics—and analytical solutions of the derived Riccati radial differential equations are explicitly obtained. All angular differential equations trivially have solutions given by the spherical harmonics and all radial differential equations can be written as Riccati ordinary differential equations, which analytical solutions involve hypergeometric and Bessel functions. In particular, the radial differential equations predict the behavior of the gravitational field in de Sitter and anti-de Sitter spacetimes, and can shed new light on the investigations of quasinormal modes of perturbations of electromagnetic and gravitational fields in black hole neighborhood. The discussion concerning the geometry of de Sitter and anti-de Sitter spacetimes is not complete without mentioning how the wave equation behaves on such a background. It will prove convenient to begin with a discussion of the Laplace equation on hyperbolic space, partly since this is of interest in itself and also because the wave equation can be investigated by means of an analytic continuation from the hyperbolic space. We also solve the Laplace equation associated to the Prasad metric. After introducing the so called internal and external spaces—corresponding to the symmetry groups SO(3,2) and SO(4,1) respectively—we show that both radial differential equations can be led to Riccati ordinary differential equations, which solutions are given in terms of associated Legendre functions. For the Prasad metric with the radius of the universe independent of the parametrization, the internal and external metrics are shown to be of AdS-Schwarzschild-like type, and also the radial field equations arising are shown to be equivalent to Riccati equations whose solutions can be written in terms of generalized Laguerre polynomials and hypergeometric confluent functions.

  8. Estimating the basic reproduction rate of HFMD using the time series SIR model in Guangdong, China

    PubMed Central

    Du, Zhicheng; Zhang, Wangjian; Zhang, Dingmei; Yu, Shicheng

    2017-01-01

    Hand, foot, and mouth disease (HFMD) has caused a substantial burden of disease in China, especially in Guangdong Province. Based on notifiable cases, we use the time series Susceptible-Infected-Recovered model to estimate the basic reproduction rate (R0) and the herd immunity threshold, understanding the transmission and persistence of HFMD more completely for efficient intervention in this province. The standardized difference between the reported and fitted time series of HFMD was 0.009 (<0.2). The median basic reproduction rate of total, enterovirus 71, and coxsackievirus 16 cases in Guangdong were 4.621 (IQR: 3.907–5.823), 3.023 (IQR: 2.289–4.292) and 7.767 (IQR: 6.903–10.353), respectively. The heatmap of R0 showed semiannual peaks of activity, including a major peak in spring and early summer (about the 12th week) followed by a smaller peak in autumn (about the 36th week). The county-level model showed that Longchuan (R0 = 33), Gaozhou (R0 = 24), Huazhou (R0 = 23) and Qingxin (R0 = 19) counties have higher basic reproduction rate than other counties in the province. The epidemic of HFMD in Guangdong Province is still grim, and strategies like the World Health Organization’s expanded program on immunization need to be implemented. An elimination of HFMD in Guangdong might need a Herd Immunity Threshold of 78%. PMID:28692654

  9. Financial Accounting for Local and State School Systems: Standard Receipt and Expenditure Accounts. State Educational Records and Reports Series Handbook II. Bulletin, 1957, No. 4

    ERIC Educational Resources Information Center

    Reason, Paul L., Comp.; White, Alpheus L., Comp.

    1957-01-01

    This handbook is the basic guide to financial accounting for local and State school systems in the United States. It is the second in a series of four handbooks in the State of Educational Records and Reports Series undertaken at the request of a number of national organizations. Handbook I, "The Common Core of State Educational Information," was…

  10. Education in Venezuela. Bulletin, 1948, No. 14

    ERIC Educational Resources Information Center

    Goetz, Delia

    1948-01-01

    The Office of Education has undertaken the preparation of a series of basic studies on education in a number of Central and South American countries under the sponsorship of the Interdepartmental Committee on Cultural and Scientific Cooperation. This series of studies is part of a program to promote understanding of educational conditions in the…

  11. The Negro in American History: A Series of Episodes.

    ERIC Educational Resources Information Center

    Nashville - Davidson County Metropolitan Public Schools, TN.

    This teacher's kit contains a series of lessons on black history that can be integrated into regular 8th- and 11th-grade American history courses. Each lesson includes a student card containing basic reading material, with appropriate activities, and a teacher card providing additional information and/or suggestions for class discussion. Although…

  12. Education in Bolivia. Bulletin, 1949, No. 1

    ERIC Educational Resources Information Center

    Nelson, Raymond H.

    1949-01-01

    The U.S. Office of Education has undertaken the preparation of a series of basic studies on education in a number of Central and South American countries under the sponsorship of the Interdepartmental Committee on Cultural and Scientific Cooperation. This series of studies is part of a program to promote understanding of educational conditions in…

  13. Education in Nicaragua. Bulletin, 1947, No. 6

    ERIC Educational Resources Information Center

    Ebaugh, Cameron D.

    1947-01-01

    The U.S. Office of Education has undertaken the preparation of a series of basic studies on education in a number of Central and South American countries under the sponsorship of the Interdepartmental Committee on Cultural and Scientific Cooperation. This series of studies is part of a program to promote understanding of educational conditions in…

  14. Education in Peru. Bulletin, 1946, No. 3

    ERIC Educational Resources Information Center

    Ebaugh, Cameron D.

    1946-01-01

    The U.S. Office of Education has undertaken the preparation of a series of basic studies on education in a number of Central and South American countries under the sponsorship of the Interdepartmental Committee on Cultural and Scientific Cooperation. This series of studies is part of a program to promote understanding of educational conditions in…

  15. Education in Colombia. Bulletin, 1946, No. 6

    ERIC Educational Resources Information Center

    Furbay, John H.

    1946-01-01

    The U.S. Office of Education has undertaken the preparation of a series of basic studies on education in a number of Central and South American countries under the sponsorship of the Interdepartmental Committee on Cultural and Scientific Cooperation. This series of studies is part of a program to promote understanding of educational conditions in…

  16. Education in Ecuador. Bulletin, 1947, No. 2

    ERIC Educational Resources Information Center

    Ebaugh, Cameron D.

    1947-01-01

    The U. S. Office of Education has undertaken the preparation of a series of basic studies on education in a number of Central and South American countries under the sponsorship of the Interdepartmental Committee on Scientific and Cultural Cooperation. This series of studies is part of a program to promote understanding of educational conditions in…

  17. Education in El Salvador. Bulletin, 1947, No. 3

    ERIC Educational Resources Information Center

    Ebaugh, Cameron D.

    1947-01-01

    The U.S. Office of Education has undertaken the preparation of a series of basic studies on education in a number of Central and South American countries under the sponsorship of the Interdepartmental Committee on Cultural and Scientific Cooperation. This series of studies is part of a program to promote understanding of educational conditions in…

  18. Education in Haiti. Bulletin, 1948, No. 1

    ERIC Educational Resources Information Center

    Cook, Mercer

    1948-01-01

    The U.S. Office of Education has undertaken the preparation of a series of basic studies on education in a number of Central and South American countries under the sponsorship of the Interdepartmental Committee on Cultural and Scientific Cooperation. This series of studies is part of a program to promote understanding of educational conditions in…

  19. 75 FR 70057 - Self-Regulatory Organizations; EDGA Exchange, Inc.; Notice of Filing and Immediate Effectiveness...

    Federal Register 2010, 2011, 2012, 2013, 2014

    2010-11-16

    ..., and deals with U.S. securities laws, regulations, sales practices and special products drawn from the standard Series 7 examination. The Series 37 version is for Canadian registrants who have successfully completed the basic core module of the CSI Global Education (``CSI'', formerly the Canadian Securities...

  20. 75 FR 70052 - Self-Regulatory Organizations; EDGX Exchange, Inc.; Notice of Filing and Immediate Effectiveness...

    Federal Register 2010, 2011, 2012, 2013, 2014

    2010-11-16

    ..., and deals with U.S. securities laws, regulations, sales practices and special products drawn from the standard Series 7 examination. The Series 37 version is for Canadian registrants who have successfully completed the basic core module of the CSI Global Education (``CSI'', formerly the Canadian Securities...

  1. An Excel[TM] Model of a Radioactive Series

    ERIC Educational Resources Information Center

    Andrews, D. G. H.

    2009-01-01

    A computer model of the decay of a radioactive series, written in Visual Basic in Excel[TM], is presented. The model is based on the random selection of cells in an array. The results compare well with the theoretical equations. The model is a useful tool in teaching this aspect of radioactivity. (Contains 4 figures.)

  2. Racial Equality. To Protect These Rights Series.

    ERIC Educational Resources Information Center

    McDonald, Laughlin

    A historical review of racial discrimination against Negroes is the scope of this volume, part of a series of six volumes which explore the basic American rights. These include due process of law, freedom of speech and religious freedom. This volume traces the development of racial equality in the legal system, explores the controversies and…

  3. Science: A Practical View. Volume I. Teacher Edition. Applied Basic Curriculum Series.

    ERIC Educational Resources Information Center

    Evaluation, Dissemination and Assessment Center, Dallas.

    This guide, the first in a series of three, provides the intermediate science student and teacher an opportunity to review selected science concepts and processes through activities which emphasize the applicability of scientific knowledge in the professional world. The three components in this guide deal with (1) ecology (what marine science…

  4. Community Living Skills Guide: Beginning Woodworking.

    ERIC Educational Resources Information Center

    Miller, Steve; Smith, Don

    This is one of twenty course guides in the Community Living Skills Guide for the College for Living series which provides guidelines and workbook activities for the course, Beginning Woodworking, Use of Basic Hand Tools and Shop Safety. The series of courses for developmentally disabled adults is intended to supplement residential programs and to…

  5. Education in Panama. Bulletin, 1948, No. 12

    ERIC Educational Resources Information Center

    Goetz, Delia

    1948-01-01

    The Office of Education has undertaken the preparation of a series of basic studies on education in a number of Central and South American countries under the sponsorship of the Interdepartmental Committee on Cultural and Scientific Cooperation. This series of studies is part of a program to promote understanding of educational conditions in the…

  6. China, A Country Study. Area Handbook Series. Third Edition.

    ERIC Educational Resources Information Center

    Bunge, Frederica M., Ed.; Shinn, Rinn-Sup, Ed.

    Basic facts are given about the social, economic, political, and military institutions of China. The handbook, which is one of a continuing series designed for those interested in foreign affairs, is a revision of one published in 1972. The 1981 edition focuses on historical antecedents and China's new modernization strategies. Arranged into 14…

  7. JWST NIRCam Time Series Observations

    NASA Technical Reports Server (NTRS)

    Greene, Tom; Schlawin, E.

    2017-01-01

    We explain how to make time-series observations with the Near-Infrared camera (NIRCam) science instrument of the James Webb Space Telescope. Both photometric and spectroscopic observations are described. We present the basic capabilities and performance of NIRCam and show examples of how to set its observing parameters using the Space Telescope Science Institute's Astronomer's Proposal Tool (APT).

  8. Teaching about Hazardous and Toxic Materials. Teaching Activities in Environmental Education Series.

    ERIC Educational Resources Information Center

    Disinger, John F.; Lisowski, Marylin

    Designed to assist practitioners of both formal and non-formal settings, this 18th volume of the ERIC Clearinghouse for Science, Mathematics, and Environmental Education's Teaching Activities in Environmental Education series specifically focuses on the theme of hazardous and toxic materials. Initially, basic environmental concepts that deal with…

  9. Explicit approximations to estimate the perturbative diffusivity in the presence of convectivity and damping. III. Cylindrical approximations for heat waves traveling inwards

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    Berkel, M. van; Fellow of the Japan Society for the Promotion of Science; FOM Institute DIFFER-Dutch Institute for Fundamental Energy Research, Association EURATOM-FOM, Trilateral Euregio Cluster, P.O. Box 1207, 3430 BE Nieuwegein

    In this paper, a number of new explicit approximations are introduced to estimate the perturbative diffusivity (χ), convectivity (V), and damping (τ) in cylindrical geometry. For this purpose, the harmonic components of heat waves induced by localized deposition of modulated power are used. The approximations are based on the heat equation in cylindrical geometry using the symmetry (Neumann) boundary condition at the plasma center. This means that the approximations derived here should be used only to estimate transport coefficients between the plasma center and the off-axis perturbative source. If the effect of cylindrical geometry is small, it is also possiblemore » to use semi-infinite domain approximations presented in Part I and Part II of this series. A number of new approximations are derived in this part, Part III, based upon continued fractions of the modified Bessel function of the first kind and the confluent hypergeometric function of the first kind. These approximations together with the approximations based on semi-infinite domains are compared for heat waves traveling towards the center. The relative error for the different derived approximations is presented for different values of the frequency, transport coefficients, and dimensionless radius. Moreover, it is shown how combinations of different explicit formulas can be used to estimate the transport coefficients over a large parameter range for cases without convection and damping, cases with damping only, and cases with convection and damping. The relative error between the approximation and its underlying model is below 2% for the case, where only diffusivity and damping are considered. If also convectivity is considered, the diffusivity can be estimated well in a large region, but there is also a large region in which no suitable approximation is found. This paper is the third part (Part III) of a series of three papers. In Part I, the semi-infinite slab approximations have been treated. In Part II, cylindrical approximations are treated for heat waves traveling towards the plasma edge assuming a semi-infinite domain.« less

  10. Cycloalkyl-AminoMethylRhodamines: pH Dependent Photophysical Properties Tuned by Cycloalkane Ring Size

    PubMed Central

    Liu, Chuangjun; Best, Quinn A.; Suarez, Brian; Pertile, Jack; McCarroll, Matthew E.; Scott, Colleen N.

    2015-01-01

    A series of fluorescent pH probes based on the spiro-cyclic rhodamine core, aminomethylrhodamines (AMR), was synthesized and the effect of cycloalkane ring size on the acid/base properties of the AMR system was explored. The study involved a series of rhodamine 6G (cAMR6G) and rhodamine B (cAMR) pH probes with cycloalkane ring sizes from C-3 to C-6 on the spiro-cyclic amino group. It is known that the pKa value of cycloalkylamines can be tuned by the different ring sizes in accordance with the Baeyer ring strain theory. Smaller ring amines have lower pKa value, i.e. they're less basic, such that the relative order in cycloalkylamine basicity is: cyclohexyl>cyclopentyl>cyclobutyl>cyclopropyl. Herein, it was found that the pKa values of the cAMR and cAMR6G systems can also be predicted by Baeyer ring strain theory. The pKa values for the cAMR6G series were shown to be higher than the cAMR series by a value of approximately 1. PMID:25686771

  11. Cells and cell biochemistry.

    PubMed

    Farley, Alistair; Hendry, Charles; McLafferty, Ella

    This article, which forms part of the life sciences series, aims to promote understanding of the basic structure and function of cells. It assists healthcare professionals to appreciate the complex anatomy and physiology underpinning the functioning of the human body. Several introductory chemical concepts and terms are outlined. The basic building blocks of all matter, atoms, are examined and the way in which they may interact to form new compounds within the body is discussed. The basic structures and components that make up a typical cell are considered.

  12. Introduction to Library Public Services. Sixth Edition. Library and Information Science Text Series.

    ERIC Educational Resources Information Center

    Evans, G. Edward; Amodeo, Anthony J.; Carter, Thomas L.

    This book covers the role, purpose, and philosophy related to each of the major functional areas of library public service. This sixth edition, on the presumption that most people know the basic facts about computer hardware, does not include the chapter (in the previous edition) on computer basics, and instead integrated specific technological…

  13. Health Education in Elementary Schools. Curriculum Bulletin, 1969-70 Series. Number 2.

    ERIC Educational Resources Information Center

    New York City Board of Education, Brooklyn, NY. Bureau of Curriculum Development.

    This publication serves as a basic instrument for health instruction in the elementary grades. It has been designed for adaptation in meeting the differing needs of New York City pupils. The format of the bulletin enables the teacher to plan specific lessons with health learning supplemented by recommended pupil activities through a basic set up…

  14. The Basics of How to Reveal Epilepsy--Part Two

    ERIC Educational Resources Information Center

    Mittan, Robert J.

    2009-01-01

    In the April 2009 edition of "Exceptional Parent," Part One of this series explored why, for their own emotional well-being, it is so important for parents to tell others about their or their child's epilepsy. This month's installment will discuss the basics of how to reveal epilepsy to others, including some additional advantages one receives in…

  15. Lesson Plans for Teaching Basic Vocational Agriculture. Section II. Introduction to Livestock Production.

    ERIC Educational Resources Information Center

    McCully, James S., Jr., Comp.

    This volume, the second in a series of five publications for use in teaching basic vocational agriculture in Mississippi secondary schools, consists of the final eight lessons in a 15-lesson introduction to livestock production. Covered in the individual lessons included in this volume are the following topics: types of livestock production…

  16. Basic Principles--Outdoor Living Skills Series. Instructor Manual.

    ERIC Educational Resources Information Center

    Deaton, Don

    The priorities for sustaining life--air, shelter, water, and food--are the subjects of this module designed to give junior and senior high school students the foundation for safe, rewarding experiences in the outdoors. Five 50-minute lesson plans cover the basic need in order of priority: air (3 minutes to survive without it), shelter (3 hours, in…

  17. Special Needs. Viewpoints. A Series of Occasional Papers on Basic Education. Issue No. 2.

    ERIC Educational Resources Information Center

    Adult Literacy and Basic Skills Unit, London (England).

    This collection of papers focuses on working with adults who have special needs. In her paper entitled "Literacy and the Visually Handicapped," Janice E. Mason examines ways in which strategies for meeting the needs of visually handicapped persons can be integrated into literacy programs. "Singer and Listener: Basic Education Work…

  18. Measuring Gas-Phase Basicities of Amino Acids Using an Ion Trap Mass Spectrometer: A Physical Chemistry Laboratory Experiment

    ERIC Educational Resources Information Center

    Sunderlin, Lee S.; Ryzhov, Victor; Keller, Lanea M. M.; Gaillard, Elizabeth R.

    2005-01-01

    An experiment is performed to measure the relative gas-phase basicities of a series of five amino acids to compare the results to literature values. The experiments use the kinetic method for deriving ion thermochemistry and allow students to perform accurate measurements of thermodynamics in a relatively short time.

  19. Slushie World: An In-Class Access Database Tutorial

    ERIC Educational Resources Information Center

    Wynn, Donald E., Jr.; Pratt, Renée M. E.

    2015-01-01

    The Slushie World case study is designed to teach the basics of Microsoft Access and database management over a series of three 75-minute class sessions. Students are asked to build a basic database to track sales and inventory for a small business. Skills to be learned include table creation, data entry and importing, form and report design,…

  20. Back to Basics. New Horizons in Nutrition.

    ERIC Educational Resources Information Center

    Arnold, Justine; Grogan, Jane, Ed.

    This instructional handbook is one of a series of ten packets designed to form a comprehensive course in nutrition for secondary students. This unit discusses the basic concept in nutrition education that if one eats a varied, well-balanced diet it is likely that one's nutritional needs will be met. Information on the fat soluble vitamins is…

  1. Teaching Future Teachers Basic Astronomy Concepts--Seasonal Changes--at a Time of Reform in Science Education

    ERIC Educational Resources Information Center

    Trumper, Ricardo

    2006-01-01

    Bearing in mind students' misconceptions about basic concepts in astronomy, the present study conducted a series of constructivist activities aimed at changing future elementary and junior high school teachers' conceptions about the cause of seasonal changes, and several characteristics of the Sun-Earth-Moon relative movements like Moon phases,…

  2. Basic Safety II. Apprentice Related Training Module.

    ERIC Educational Resources Information Center

    Rice, Eric; Spetz, Sally H.

    One in a series of core instructional materials for apprentices to use during the first or second years of apprentice-related subjects training, this booklet deals with basic safety. The first section consists of an outline of the content and scope of the core materials as well as a self-assessment pretest. Covered in the four instructional…

  3. Computer Assisted Learning. Book 1, The Teletype; Book 2, BASIC 1; Book 3, BASIC 2.

    ERIC Educational Resources Information Center

    Gawronski, Jane Donnelly

    A series of three booklets provides elementary and secondary students who are participating in the Southeast Alternatives Program run by Special School District Number 1 in Minneapolis with some fundamental information about computers and their use. The first volume offers some general background on computers and describes the use of the teletype…

  4. Introduction to basic solar cell measurements

    NASA Technical Reports Server (NTRS)

    Brandhorst, H. W., Jr.

    1976-01-01

    The basic approaches to solar cell performance and diagnostic measurements are described. The light sources, equipment for I-V curve measurement, and the test conditions and procedures for performance measurement are detailed. Solar cell diagnostic tools discussed include analysis of I-V curves, series resistance and reverse saturation current determination, spectral response/quantum yield measurement, and diffusion length/lifetime determination.

  5. A Trainer's Manual for Basic Helping Skills. Counseling Older Persons. Volume III.

    ERIC Educational Resources Information Center

    Myers, Jane E., Ed.

    This manual, the third in a three-volume series on counseling older adults, is designed to accompany and supplement volume II, "Basic Helping Skills for Service Providers," and focuses on training for communication skills. The units and their sections correspond to those in volume II, for easy cross-referencing. The units contain information for…

  6. Interdisciplinary Unit: La Isla del Encanto (The Enchanted Island).

    ERIC Educational Resources Information Center

    Ford-Guerrera, Rebecca

    This document presents a series of 14 lesson plans in an interdisciplinary Spanish unit on "La isla del encanto/The Enchanted Island." The materials were prepared for students in grades 5 or 6 who have had basic Spanish instruction in previous grades. The students should also be familiar with basic concepts in English such as math…

  7. Basic School Law. "What Every School Board Member Should Know" Series.

    ERIC Educational Resources Information Center

    Martinez, Robert P.; And Others

    Designed to tell the school board member what New Jersey school law requires and permits, this second edition of "Basic School Law" avoids exploring the complex legal issues that gave rise to the regulations discussed. Dropping the first edition's chapter on labor law, this edition adds material on the sunshine laws regarding the conduct…

  8. Basic surface-active properties in the homologous series of β-alkyl (C12H25/C18H37) polyethyleneoxy (n = 0-20) propionamides

    PubMed Central

    2013-01-01

    Background Heterogeneous β-Alkyl (C12H25/C18H37) polyethyleneoxy (n = 0-20) propionamides [R(EO)nPD] represent new “hybrid” nonionic-ionic colloidal structures in the field of surface-active products (technical products). These “niche” compounds have three structural and compositional characteristics that also define their basic colloidal properties: mixture of R and PEO chain homologues; specific conformations due to the PEO chains; and the presence of side products from the addition of higher alcohols, polyethyleneglycols and traces of water to acrylamide. The proposed major objective of this paper is the basic informative colloidal characterization (functional classification, HLB balance, surface tension, critical micelle concentration) in direct correlation with the structural changes in the homologous series of LM(EO)nPD and CS(EO)nPD. The structures were obtained either indirectly by cyanoethylation followed by partial acid hydrolysis of the corresponding β-propionitriles, or directly by the nucleophilic addition under alkaline catalysis of linear higher alcohols C12H25/C14H29 (7/3) (LM) and C16H33/C18H37 (CS) as such and heterogeneous polyethoxylated (n = 3-20) to acrylamide monomer, through an adapted classic reaction scheme. Results In the series of basic colloidal characteristics investigated the structure-surface activity dependence is confirmed. Their indicative character for R(EO)nPD is based on the assumption that the structures studied are not unitary (heterogeneous) because: a) the hydrophobic chains C12H25/C18H37 have been grouped in two variants, C12H25/C14H29 (LM); C16H33/C18H37 (CS), each with an internal mass ratio of 7/3; b) the hydrophilic polyoxyethylene chains (n = 3-20) have polydisperse character; the meaning and value the oligomerization degree, n, is that of weighted average. In these conditions the surface tension increases proportionally with the oligomerization degree of the polyoxyethylene chain, while the critical micelle concentration decreases in the same homologous series as well as with the increase of the hydrophobic chain in the C12H25 to C18H37 series. A mechanism of micellization is proposed, consistent with the experimental data recorded and the hypotheses known from the consulted literature. Conclusions The idea of the obtaining and basic colloidal characterization of heterogeneous R(EO)nPD is justified. The knowledge and constructive approach of the heterogeneous character confirm the basic surface-active potential of R(EO)nPD, the structure-colloidal characteristics dependence and justifies further, more extensive research. PMID:23406530

  9. Analysis of Operating Modes of Stand-Alone Series Controller of Power Flows for Overhead Power Transmission Lines

    NASA Astrophysics Data System (ADS)

    Astashev, M. G.; Panfilov, D. I.; Seregin, D. A.; Chernyshev, A. A.

    2017-12-01

    The features of using the bridge voltage inverter in small-size stand-alone series controllers of power flows (PFSC) for overhead power transmission lines (OPTL) are examined. The basic processes in the converter during transient and steady state modes were analyzed. The basic relations for calculating the electromagnetic processes taking into account the energy loss in the circuit and without it were received. A simulation model is proposed of a converter that makes it possible to study its operating modes during the formation of reactance introduced into the overhead power transmission line. The results of simulation of operating modes of the PFSC are presented.

  10. Statistical auditing and randomness test of lotto k/N-type games

    NASA Astrophysics Data System (ADS)

    Coronel-Brizio, H. F.; Hernández-Montoya, A. R.; Rapallo, F.; Scalas, E.

    2008-11-01

    One of the most popular lottery games worldwide is the so-called “lotto k/N”. It considers N numbers 1,2,…,N from which k are drawn randomly, without replacement. A player selects k or more numbers and the first prize is shared amongst those players whose selected numbers match all of the k randomly drawn. Exact rules may vary in different countries. In this paper, mean values and covariances for the random variables representing the numbers drawn from this kind of game are presented, with the aim of using them to audit statistically the consistency of a given sample of historical results with theoretical values coming from a hypergeometric statistical model. The method can be adapted to test pseudorandom number generators.

  11. Algebraic calculations for spectrum of superintegrable system from exceptional orthogonal polynomials

    NASA Astrophysics Data System (ADS)

    Hoque, Md. Fazlul; Marquette, Ian; Post, Sarah; Zhang, Yao-Zhong

    2018-04-01

    We introduce an extended Kepler-Coulomb quantum model in spherical coordinates. The Schrödinger equation of this Hamiltonian is solved in these coordinates and it is shown that the wave functions of the system can be expressed in terms of Laguerre, Legendre and exceptional Jacobi polynomials (of hypergeometric type). We construct ladder and shift operators based on the corresponding wave functions and obtain their recurrence formulas. These recurrence relations are used to construct higher-order, algebraically independent integrals of motion to prove superintegrability of the Hamiltonian. The integrals form a higher rank polynomial algebra. By constructing the structure functions of the associated deformed oscillator algebras we derive the degeneracy of energy spectrum of the superintegrable system.

  12. Coupling coefficients for tensor product representations of quantum SU(2)

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    Groenevelt, Wolter, E-mail: w.g.m.groenevelt@tudelft.nl

    2014-10-15

    We study tensor products of infinite dimensional irreducible {sup *}-representations (not corepresentations) of the SU(2) quantum group. We obtain (generalized) eigenvectors of certain self-adjoint elements using spectral analysis of Jacobi operators associated to well-known q-hypergeometric orthogonal polynomials. We also compute coupling coefficients between different eigenvectors corresponding to the same eigenvalue. Since the continuous spectrum has multiplicity two, the corresponding coupling coefficients can be considered as 2 × 2-matrix-valued orthogonal functions. We compute explicitly the matrix elements of these functions. The coupling coefficients can be considered as q-analogs of Bessel functions. As a results we obtain several q-integral identities involving q-hypergeometricmore » orthogonal polynomials and q-Bessel-type functions.« less

  13. Hipergeometric solutions to some nonhomogeneous equations of fractional order

    NASA Astrophysics Data System (ADS)

    Olivares, Jorge; Martin, Pablo; Maass, Fernando

    2017-12-01

    In this paper a study is performed to the solution of the linear non homogeneous fractional order alpha differential equation equal to I 0(x), where I 0(x) is the modified Bessel function of order zero, the initial condition is f(0)=0 and 0 < alpha < 1. Caputo definition for the fractional derivatives is considered. Fractional derivatives have become important in physical and chemical phenomena as visco-elasticity and visco-plasticity, anomalous diffusion and electric circuits. In particular in this work the values of alpha=1/2, 1/4 and 3/4. are explicitly considered . In these cases Laplace transform is applied, and later the inverse Laplace transform leads to the solutions of the differential equation, which become hypergeometric functions.

  14. Birth and evolution of an optical vortex.

    PubMed

    Vallone, Giuseppe; Sponselli, Anna; D'Ambrosio, Vincenzo; Marrucci, Lorenzo; Sciarrino, Fabio; Villoresi, Paolo

    2016-07-25

    When a phase singularity is suddenly imprinted on the axis of an ordinary Gaussian beam, an optical vortex appears and starts to grow radially, by effect of diffraction. This radial growth and the subsequent evolution of the optical vortex under focusing or imaging can be well described in general within the recently introduced theory of circular beams, which generalize the hypergeometric-Gaussian beams and which obey novel kinds of ABCD rules. Here, we investigate experimentally these vortex propagation phenomena and test the validity of circular-beam theory. Moreover, we analyze the difference in radial structure between the newly generated optical vortex and the vortex obtained in the image plane, where perfect imaging would lead to complete closure of the vortex core.

  15. Analytical approximation schemes for solving exact renormalization group equations in the local potential approximation

    NASA Astrophysics Data System (ADS)

    Bervillier, C.; Boisseau, B.; Giacomini, H.

    2008-02-01

    The relation between the Wilson-Polchinski and the Litim optimized ERGEs in the local potential approximation is studied with high accuracy using two different analytical approaches based on a field expansion: a recently proposed genuine analytical approximation scheme to two-point boundary value problems of ordinary differential equations, and a new one based on approximating the solution by generalized hypergeometric functions. A comparison with the numerical results obtained with the shooting method is made. A similar accuracy is reached in each case. Both two methods appear to be more efficient than the usual field expansions frequently used in the current studies of ERGEs (in particular for the Wilson-Polchinski case in the study of which they fail).

  16. Classes of exact Einstein Maxwell solutions

    NASA Astrophysics Data System (ADS)

    Komathiraj, K.; Maharaj, S. D.

    2007-12-01

    We find new classes of exact solutions to the Einstein Maxwell system of equations for a charged sphere with a particular choice of the electric field intensity and one of the gravitational potentials. The condition of pressure isotropy is reduced to a linear, second order differential equation which can be solved in general. Consequently we can find exact solutions to the Einstein Maxwell field equations corresponding to a static spherically symmetric gravitational potential in terms of hypergeometric functions. It is possible to find exact solutions which can be written explicitly in terms of elementary functions, namely polynomials and product of polynomials and algebraic functions. Uncharged solutions are regainable with our choice of electric field intensity; in particular we generate the Einstein universe for particular parameter values.

  17. Visualization and statistical comparisons of microbial communities using R packages on Phylochip data.

    PubMed

    Holmes, Susan; Alekseyenko, Alexander; Timme, Alden; Nelson, Tyrrell; Pasricha, Pankaj Jay; Spormann, Alfred

    2011-01-01

    This article explains the statistical and computational methodology used to analyze species abundances collected using the LNBL Phylochip in a study of Irritable Bowel Syndrome (IBS) in rats. Some tools already available for the analysis of ordinary microarray data are useful in this type of statistical analysis. For instance in correcting for multiple testing we use Family Wise Error rate control and step-down tests (available in the multtest package). Once the most significant species are chosen we use the hypergeometric tests familiar for testing GO categories to test specific phyla and families. We provide examples of normalization, multivariate projections, batch effect detection and integration of phylogenetic covariation, as well as tree equalization and robustification methods.

  18. Coagulation-fragmentation for a finite number of particles and application to telomere clustering in the yeast nucleus

    NASA Astrophysics Data System (ADS)

    Hozé, Nathanaël; Holcman, David

    2012-01-01

    We develop a coagulation-fragmentation model to study a system composed of a small number of stochastic objects moving in a confined domain, that can aggregate upon binding to form local clusters of arbitrary sizes. A cluster can also dissociate into two subclusters with a uniform probability. To study the statistics of clusters, we combine a Markov chain analysis with a partition number approach. Interestingly, we obtain explicit formulas for the size and the number of clusters in terms of hypergeometric functions. Finally, we apply our analysis to study the statistical physics of telomeres (ends of chromosomes) clustering in the yeast nucleus and show that the diffusion-coagulation-fragmentation process can predict the organization of telomeres.

  19. The Warrior Heritage. A Study of Rhodesia.

    DTIC Science & Technology

    1980-05-01

    And then, seconds before impact and certain death, the patrol rises to its feet and, standing shoulder to shoulder, the men shout their last defiance...are the Tusker-Kudu- Rhino series and the Puma-Hippo series. Vehicles of the first series are made from the standard Land Rover, long wheel base frame...bolts. The basic vehicle thus created is then surmounted 92 with either a Rhino , Kudu or Tusker body. Tuskers have a drum-like roll bar cage, covered with

  20. Preparacion e Iniciacion de la Lectura en Espanol para Maestros de Programas Bilingues. Serie Tierra de Encanto (Preparation and Initiation of Reading in Spanish for Teachers of Bilingual Programs. Land of Enchantment Series).

    ERIC Educational Resources Information Center

    New Mexico Univ., Albuquerque.

    Part of the "Land of Enchantment" series of instructional materials, this very detailed teaching manual is designed to help teachers in bilingual programs prepare students to read Spanish. It contains suggestions for developing reading readiness skills and ways to teach a basic 30-word reading vocabulary. The reading program follows five steps:…

  1. Books on Atomic Energy for Adults and Children, Understanding the Atom Series.

    ERIC Educational Resources Information Center

    Atomic Energy Commission, Oak Ridge, TN. Div. of Technical Information.

    This booklet in the "Understanding the Atom" series includes annotated bibliographies for children (grade level indicated) and adults. Over 100 basic books on atomic energy and closely related subjects are alphabetized by title and an author index. A list of publisher addresses are included. A brief introduction to library usage is given. The…

  2. Extending Horizons: School and Community Persons. Research and Development Series No. 257F.

    ERIC Educational Resources Information Center

    McKinney, Lorella A.; West, Catherine

    This companion document providing basic information for general educators and other community persons to increase their awareness and understanding of how to meet the needs of handicapped youth in the school-to-work transition, five other companion documents, and an inservice guide comprise a series developed for assisting disabled persons in…

  3. Architecture as a Primary Source for Social Studies. How To Do It Series, Series 2, Number 5.

    ERIC Educational Resources Information Center

    Leclerc, Daniel C.

    Designed for elementary and secondary use in the social studies, this guide provides activities for learning the basic elements and the history of architecture. Through this study, students develop critical observation skills and investigate buildings as manifestations of religious, social, and personal values. The historical overview traces the…

  4. Hospitality: A Teacher's Guide to an Employment Orientation Course for Special Needs Students.

    ERIC Educational Resources Information Center

    Grubb, Francine

    This teachers' guide on hospitality is one of a series of six designed for the employment orientation program for special needs students at the Gloucester County Vocational-Technical School in Sewell, New Jersey. The series includes laundry, hospitality, sewing, basic business, foods, and beauty culture. The foreword indicates that objectives are…

  5. Physical Optics. [Aids to Individualize the Teaching of Science, Mini-Course Units.

    ERIC Educational Resources Information Center

    Brilhart, Walt

    This booklet, one of a series developed by the Frederick County Board of Education, Frederick, Maryland, provides an instruction module for an individualized or flexible approach to secondary science teaching. Subjects and activities in this series of booklets are designed to supplement a basic curriculum or to form a total curriculum, and relate…

  6. How to Gather Information on Community Needs and Funding Sources. Resources for Rural Development Series: Handbook No. 1.

    ERIC Educational Resources Information Center

    Cohen, John M.; Marshall, Terry

    One of a series designed to aid community leaders, cooperative extension agents, local government officials, and others in their efforts to gain external resources needed to support local efforts in rural development, this handbook addresses three basic problem areas: gathering information on rural development needs of a community; locating…

  7. Personal Docente del Nivel Primario. Series Estadisticas Basicas: Colombia (Teaching Personnel in Primary Schools. Basic Statistics Series: Colombia).

    ERIC Educational Resources Information Center

    Ministerio de Educacion Nacional, Bogota (Colombia). Instituto Colombiano de Pedagogia.

    This document provides statistical data on the distribution and education of teacher personnel working in Colombian elementary schools between 1940 and 1968. The statistics cover the number of men and women, public and private schools, urban and rural location, and the amount of education of teachers. (VM)

  8. Foods: A Teacher's Guide to an Employment Orientation Course for Special Needs Students.

    ERIC Educational Resources Information Center

    Grubb, Francine

    This teacher's guide on foods is one of a series of six designed for the employment orientation program for special needs students at the Gloucester County Vocational-Technical School in Sewell, New Jersey. The series includes laundry, hospitality, sewing, basic business, foods, and beauty culture. Each guide contains lesson plans consisting of…

  9. Tracking Connections: An Exercise about Series and Parallel Resistances

    ERIC Educational Resources Information Center

    Jankovic, Srdjan

    2010-01-01

    Unlike many other topics in basic physics, series and parallel resistances are rarely noticed in the real life of an ordinary individual, making it difficult to design a laboratory activity that can simulate something familiar. The activities described here entail minimal costs and are based on a puzzle-like game of tracking wire connections. A…

  10. Intake Interview Skills for Rehabilitation Counselors: A Typescript Manual. Advanced Facilitative Case Management Series, Training Package I.

    ERIC Educational Resources Information Center

    Rubin, Stanford E.; Farley, Roy C.

    This guide is the case study manual for the first in a series of instructor-assisted training modules for rehabilitation counselors, supervisors, and graduate students. This typescript manual for the first module focuses on basic intake interviewing skills consisting of: (1) systematic interview programming including attracting, planning and…

  11. 48 CFR 927.409 - Solicitation provisions and contract clauses. (DOE coverage-paragraphs (a), (h), (s), and (t))

    Code of Federal Regulations, 2010 CFR

    2010-10-01

    ... rather than paragraph (d)(3) in contracts for basic or applied research with educational institutions... which are data comprising a series of instructions, rules, routines, or statements, regardless of the media in which recorded, that allow or cause a computer to perform a specific operation or series of...

  12. 48 CFR 927.409 - Solicitation provisions and contract clauses. (DOE coverage-paragraphs (a), (h), (s), and (t))

    Code of Federal Regulations, 2014 CFR

    2014-10-01

    ... rather than paragraph (d)(3) in contracts for basic or applied research with educational institutions... which are data comprising a series of instructions, rules, routines, or statements, regardless of the media in which recorded, that allow or cause a computer to perform a specific operation or series of...

  13. 48 CFR 927.409 - Solicitation provisions and contract clauses. (DOE coverage-paragraphs (a), (h), (s), and (t))

    Code of Federal Regulations, 2013 CFR

    2013-10-01

    ... rather than paragraph (d)(3) in contracts for basic or applied research with educational institutions... which are data comprising a series of instructions, rules, routines, or statements, regardless of the media in which recorded, that allow or cause a computer to perform a specific operation or series of...

  14. 48 CFR 927.409 - Solicitation provisions and contract clauses. (DOE coverage-paragraphs (a), (h), (s), and (t))

    Code of Federal Regulations, 2012 CFR

    2012-10-01

    ... rather than paragraph (d)(3) in contracts for basic or applied research with educational institutions... which are data comprising a series of instructions, rules, routines, or statements, regardless of the media in which recorded, that allow or cause a computer to perform a specific operation or series of...

  15. 48 CFR 927.409 - Solicitation provisions and contract clauses. (DOE coverage-paragraphs (a), (h), (s), and (t))

    Code of Federal Regulations, 2011 CFR

    2011-10-01

    ... rather than paragraph (d)(3) in contracts for basic or applied research with educational institutions... which are data comprising a series of instructions, rules, routines, or statements, regardless of the media in which recorded, that allow or cause a computer to perform a specific operation or series of...

  16. Sewing: A Teacher's Guide to an Employment Orientation Course for Special Needs Students.

    ERIC Educational Resources Information Center

    Grubb, Francine

    This teacher's guide on sewing is one of a series of six designed for the employment orientation program for special needs students at the Gloucester County Vocational-Technical School in Sewell, New Jersey. The series includes laundry, hospitality, sewing, basic business, foods, and beauty culture. Each guide contains daily lesson plans…

  17. Explorations in Statistics: Standard Deviations and Standard Errors

    ERIC Educational Resources Information Center

    Curran-Everett, Douglas

    2008-01-01

    Learning about statistics is a lot like learning about science: the learning is more meaningful if you can actively explore. This series in "Advances in Physiology Education" provides an opportunity to do just that: we will investigate basic concepts in statistics using the free software package R. Because this series uses R solely as a vehicle…

  18. Laundry: A Teacher's Guide to an Employment Orientation Course for Special Needs Students.

    ERIC Educational Resources Information Center

    Grubb, Francine

    This teacher's guide on laundry is one of a series of six designed for the employment orientation program for special needs students at the Gloucester County Vocational-Technical School in Sewell, New Jersey. The series includes laundry, hospitality, sewing, basic business, foods, and beauty culture. Each guide contains lesson plans consisting of…

  19. THE PHYSICAL ASPECTS OF URBANIZATION, PHYSICAL CONSIDERATIONS IN COMMUNITY ACTION. KANSAS STATE UNIVERSITY SHORT COURSE SERIES IN PLANNING AND DEVELOPMENT, 5.

    ERIC Educational Resources Information Center

    MCGRAW, EUGENE T.

    PART OF A KANSAS STATE UNIVERSITY SERIES ON COMMUNITY PLANNING AND DEVELOPMENT, THIS MONOGRAPH DESCRIBES AND DEFINES THE NATURE OF URBAN CENTERS AS PHYSICAL ENTITIES. BASIC LAND USE CATEGORIES AND SUBDIVISIONS, FUNCTIONAL CLASSIFICATIONS OF COMMUNITIES IN THE UNITED STATES (MANUFACTURING, RETAIL, WHOLESALE, DIVERSIFIED, TRANSPORTATION, MINING,…

  20. Arms Control: Verification and Compliance. Foreign Policy Association Headline Series, No. 270.

    ERIC Educational Resources Information Center

    Krepon, Michael

    One in a series of booklets whose purpose is to stimulate greater and more effective understanding of world affairs among Americans, this five-chapter report is geared to the nonexpert wanting to know more about the complex topics of verification and compliance with arms control agreements. "Basic Concepts of Verification" examines the…

  1. Education in Turkey. Bulletin, 1952, No. 10

    ERIC Educational Resources Information Center

    Sassani, Abul H. K.

    1952-01-01

    The Office of Education has undertaken the preparation of a series of basic studies on education in a number of countries in Europe and Central and South America. This series of studies was made a part of a program to promote understanding of education conditions in those areas and also to furnish the American college registrars with data on…

  2. Beauty Culture: A Teacher's Guide to an Employment Orientation Course for Special Needs Students.

    ERIC Educational Resources Information Center

    Grubb, Francine

    This teacher's guide on beauty culture is one of a series of six designed for the employment orientation program for special needs students at the Gloucester County Vocational-Technical School in Sewell, New Jersey. The series includes laundry, hospitality, sewing, basic business, food, and beauty culture. Each guide contains lesson plans…

  3. Piloted Simulator Investigation of Techniques to Achieve Attitude Command Response with Limited Authority Servos

    NASA Technical Reports Server (NTRS)

    Key, David L.; Heffley, Robert K.

    2002-01-01

    The purpose of the study was to develop generic design principles for obtaining attitude command response in moderate to aggressive maneuvers without increasing SCAS series servo authority from the existing +/- 10%. In particular, to develop a scheme that would work on the UH-60 helicopter so that it can be considered for incorporation in future upgrades. The basic math model was a UH-60A version of GENHEL. The simulation facility was the NASA-Ames Vertical Motion Simulator (VMS). Evaluation tasks were Hover, Acceleration-Deceleration, and Sidestep, as defined in ADS-33D-PRF for Degraded Visual Environment (DVE). The DVE was adjusted to provide a Usable Cue Environment (UCE) equal to two. The basic concept investigated was the extent to which the limited attitude command authority achievable by the series servo could be supplemented by a 10%/sec trim servo. The architecture used provided angular rate feedback to only the series servo, shared the attitude feedback between the series and trim servos, and when the series servo approached saturation the attitude feedback was slowly phased out. Results show that modest use of the trim servo does improve pilot ratings, especially in and around hover. This improvement can be achieved with little degradation in response predictability during moderately aggressive maneuvers.

  4. Taxes Affecting the Worker: Orientation to the World of Work.

    ERIC Educational Resources Information Center

    Rankin, Lila T.

    The guide is one of a series of 10 units composing an orientation to the world of work course designed especially for disadvantaged and handicapped students in the 9th and 10th grades. It is designed to provide basic and remedial instruction in personal development, math, and language skills while providing information and skills basic or common…

  5. Breaking Through: TOSTAN's Non-Formal Basic Education Programme in National Languages in Senegal. Education for All: Making It Work. Innovation Series.

    ERIC Educational Resources Information Center

    Guttman, Cynthia

    Since 1988, thousands of rural villagers across Senegal have participated in a basic education program called TOSTAN, which means "breakthrough" in Wolof, the majority language. Supported by UNICEF and implemented in the six national languages of Senegal, TOSTAN goes beyond traditional literacy programs to link literacy learning with…

  6. Space Technology: Propulsion, Control and Guidance of Space Vehicles. Aerospace Education III.

    ERIC Educational Resources Information Center

    Savler, D. S.; Mackin, T. E.

    This book, one in the series on Aerospace Education III, includes a discussion of the essentials of propulsion, control, and guidance and the conditions of space travel. Chapter 1 provides a brief account of basic laws of celestial mechanics. Chapters 2, 3, and 4 are devoted to the chemical principles of propulsion. Included are the basics of…

  7. Making Basic Math Skills Work for You in Marketing. Student Manual and Laboratory Guide.

    ERIC Educational Resources Information Center

    Klewer, Edwin D.

    This student manual and workbook is the second part of a mathematics series for use with high school students. The manual is to be used to apply the mathematics skills that students have learned in a first part called "Developing Basic Math Skills for Marketing." The manual presents conceptual instruction in mathematics in a competency based…

  8. Evaluation Report: Miccosukee Day School, Southeast Agencies, June 1973. Research and Evaluation Report Series No. 06-A.

    ERIC Educational Resources Information Center

    Monsen, Marie

    The Day School operated Head Start, Title I and VII, and Adult Education programs in addition to the basic K-6 curricula. The programs and curriculum emphasized attracting and retaining students. Of the 45 students enrolled during Fiscal Year 1973, 3 were "dropouts". Emphasizing language skill development, the basic curriculum consisted…

  9. Basic Wiring. Fourth Edition. Teacher Edition [and] Student Guide [and] Student Workbook 1 [and] Student Workbook 2.

    ERIC Educational Resources Information Center

    Kaltwasser, Stan; Flowers, Gary; Blasingame, Don

    Basic Wiring, first in a series of three wiring publications, serves as the foundation for students enrolled in a wiring program. It is a prerequisite to Commercial and Industrial Wiring or Residential Wiring. Instructional materials include a teacher edition, student guide, and two student workbooks. The teacher edition begins with introductory…

  10. Basic Course in Uzbek. Indiana University Publications: Uralic and Altaic Series, Volume 59.

    ERIC Educational Resources Information Center

    Raun, Alo

    This work is a revised edition of the author's "Spoken Uzbek," originally written for class use at Indiana University in 1952-53. Comprised of 25 lesson units and five review units, the format follows the general outline of the earlier ACLS (American Council of Learned Societies) "Spoken Language" courses: basic sentences are presented in build-up…

  11. X-Ray Diffraction and the Discovery of the Structure of DNA

    ERIC Educational Resources Information Center

    Crouse, David T.

    2007-01-01

    A method is described for teaching the analysis of X-ray diffraction of DNA through a series of steps utilizing the original methods used by James Watson, Francis Crick, Maurice Wilkins and Rosalind Franklin. The X-ray diffraction pattern led to the conclusion of the basic helical structure of DNA and its dimensions while basic chemical principles…

  12. Development of Indigenous Basic Interest Scales: Re-Structuring the Icelandic Interest Space

    ERIC Educational Resources Information Center

    Einarsdottir, Sif; Eyjolfsdottir, Katrin Osk; Rounds, James

    2013-01-01

    The present investigation used an emic approach to develop a set of Icelandic indigenous basic interest scales. An indigenous item pool that is representative of the Icelandic labor market was administered to three samples (N = 1043, 1368, and 2218) of upper secondary and higher education students in two studies. A series of item level cluster and…

  13. Basic Needs, Stress and the Effects of Tailored Health Communication in Vulnerable Populations

    ERIC Educational Resources Information Center

    Cappelletti, Erika R.; Kreuter, Matthew W.; Boyum, Sonia; Thompson, Tess

    2015-01-01

    This study examined whether unmet basic needs (food, housing, personal and neighborhood safety, money for necessities) and perceived stress affect recall of and response to a tailored print intervention one month later. Participants (N = 372) were adults who had called 2-1-1 Missouri between June 2010 and June 2012. A series of path analyses using…

  14. Fire Safety: Any Time, Any Place. First Grade. Fire Safety for Texans: Fire and Burn Prevention Curriculum Guide.

    ERIC Educational Resources Information Center

    Texas State Commission on Fire Protection, Austin.

    This booklet comprises the first grade component of a series of curriculum guides on fire and burn prevention. Designed to meet the age-specific needs of first grade students, its objectives include acquiring basic knowledge of fire and burn hazards, developing a basic understanding of simple injury reduction, and encouraging parent involvement.…

  15. 75 FR 28475 - Airworthiness Directives; Airbus Model A330-200 and -300 Series Airplanes, and Model A340-300...

    Federal Register 2010, 2011, 2012, 2013, 2014

    2010-05-21

    ... unsafe condition as: In the door 2 area, the hat-racks are supplied with a basic wire harness which includes ``Oxygen Masks'' activation. In case of a monument installation, the respective non-used hat- rack... door 2 area, the hat-racks are supplied with a basic wire harness which includes ``Oxygen Masks...

  16. Military Curricula for Vocational & Technical Education. Basic Electricity and Electronics. CANTRAC A-100-0010. Module 23: Multivibrators. Study Booklet.

    ERIC Educational Resources Information Center

    Chief of Naval Education and Training Support, Pensacola, FL.

    This individualized learning module on multivibrators is one in a series of modules for a course in basic electricity and electronics. The course is one of a number of military-developed curriculum packages selected for adaptation to vocational instructional and curriculum development in a civilian setting. Three lessons are included in the…

  17. Teaching Future Teachers Basic Astronomy Concepts--Sun-Earth-Moon Relative Movements--at a Time of Reform in Science Education

    ERIC Educational Resources Information Center

    Trumper, Ricardo

    2006-01-01

    In view of students' alternative conceptions about basic concepts in astronomy, we conducted a series of constructivist activities with future elementary and junior high school teachers aimed at changing their conceptions about the cause of seasonal changes, and of several characteristics of the Sun-Earth-Moon relative movements like Moon phases,…

  18. Inferring epidemiological dynamics of infectious diseases using Tajima's D statistic on nucleotide sequences of pathogens.

    PubMed

    Kim, Kiyeon; Omori, Ryosuke; Ito, Kimihito

    2017-12-01

    The estimation of the basic reproduction number is essential to understand epidemic dynamics, and time series data of infected individuals are usually used for the estimation. However, such data are not always available. Methods to estimate the basic reproduction number using genealogy constructed from nucleotide sequences of pathogens have been proposed so far. Here, we propose a new method to estimate epidemiological parameters of outbreaks using the time series change of Tajima's D statistic on the nucleotide sequences of pathogens. To relate the time evolution of Tajima's D to the number of infected individuals, we constructed a parsimonious mathematical model describing both the transmission process of pathogens among hosts and the evolutionary process of the pathogens. As a case study we applied this method to the field data of nucleotide sequences of pandemic influenza A (H1N1) 2009 viruses collected in Argentina. The Tajima's D-based method estimated basic reproduction number to be 1.55 with 95% highest posterior density (HPD) between 1.31 and 2.05, and the date of epidemic peak to be 10th July with 95% HPD between 22nd June and 9th August. The estimated basic reproduction number was consistent with estimation by birth-death skyline plot and estimation using the time series of the number of infected individuals. These results suggested that Tajima's D statistic on nucleotide sequences of pathogens could be useful to estimate epidemiological parameters of outbreaks. Copyright © 2017 The Authors. Published by Elsevier B.V. All rights reserved.

  19. Variability simulations with a steady, linearized primitive equations model

    NASA Technical Reports Server (NTRS)

    Kinter, J. L., III; Nigam, S.

    1985-01-01

    Solutions of the steady, primitive equations on a sphere, linearized about a zonally symmetric basic state are computed for the purpose of simulating monthly mean variability in the troposphere. The basic states are observed, winter monthly mean, zonal means of zontal and meridional velocities, temperatures and surface pressures computed from the 15 year NMC time series. A least squares fit to a series of Legendre polynomials is used to compute the basic states between 20 H and the equator, and the hemispheres are assumed symmetric. The model is spectral in the zonal direction, and centered differences are employed in the meridional and vertical directions. Since the model is steady and linear, the solution is obtained by inversion of a block, pente-diagonal matrix. The model simulates the climatology of the GFDL nine level, spectral general circulation model quite closely, particularly in middle latitudes above the boundary layer. This experiment is an extension of that simulation to examine variability of the steady, linear solution.

  20. Role of phonons in the metal-insulator phase transition.

    NASA Technical Reports Server (NTRS)

    Langer, W. D.

    1972-01-01

    Review, for the transition series oxides, of the Mattis and Lander model, which is one of electrons interacting with lattice vibrations (electron and phonon interaction). The model displays superconducting, insulating, and metallic phases. Its basic properties evolve from a finite crystallographic distortion associated with a dominant phonon mode and the splitting of the Brillouin zone into two subzones, a property of simple cubic and body centered cubic lattices. The order of the metal-insulator phase transition is examined. The basic model has a second-order phase transition and the effects of additional mechanisms on the model are calculated. The way in which these mechanisms affect the magnetically ordered transition series oxides as described by the Hubbard model is discussed.

  1. The first of a series of high efficiency, high bmep, turbocharged two-stroke cycle diesel engines; the general motors EMD 645FB engine

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    Kotlin, J.J.; Dunteman, N.R.; Scott, D.I.

    1983-01-01

    The current Electro-Motive Division 645 Series turbocharged engines are the Model FB and EC. The FB engine combines the highest thermal efficiency with the highest specific output of any EMD engine to date. The FB Series incorporates 16:1 compression ratio with a fire ring piston and an improved turbocharger design. Engine components included in the FB engine provide very high output levels with exceptional reliability. This paper also describes the performance of the lower rated Model EC engine series which feature high thermal efficiency and utilize many engine components well proven in service and basic to the Model FB Series.

  2. Nonstationary time series prediction combined with slow feature analysis

    NASA Astrophysics Data System (ADS)

    Wang, G.; Chen, X.

    2015-07-01

    Almost all climate time series have some degree of nonstationarity due to external driving forces perturbing the observed system. Therefore, these external driving forces should be taken into account when constructing the climate dynamics. This paper presents a new technique of obtaining the driving forces of a time series from the slow feature analysis (SFA) approach, and then introduces them into a predictive model to predict nonstationary time series. The basic theory of the technique is to consider the driving forces as state variables and to incorporate them into the predictive model. Experiments using a modified logistic time series and winter ozone data in Arosa, Switzerland, were conducted to test the model. The results showed improved prediction skills.

  3. A Bibliography of Basic Books on Atomic Energy, A World of the Atom Series Booklet.

    ERIC Educational Resources Information Center

    Atomic Energy Commission, Washington, DC.

    This booklet in the "World of the Atom" Series replaces the earlier Books on Atomic Energy for Adults and Children. It includes annotated bibliographies for children (grade level indicated) and adults. Over 60 books are classed as elementary and over 70 as advanced. These are alphabetized by title and also indexed by author. A list of…

  4. A Teacher's Guide to Metrics. A Series of In-Service Booklets Designed for Adult Educators.

    ERIC Educational Resources Information Center

    Wendel, Robert, Ed.; And Others

    This series of seven booklets is designed to train teachers of adults in metrication, as a prerequisite to offering metrics in adult basic education and general educational development programs. The seven booklets provide a guide representing an integration of metric teaching methods and metric materials to place the adult in an active learning…

  5. A Coordinated Response to Child Abuse and Neglect: A Basic Manual. [Revised and Expanded.] The User Manual Series.

    ERIC Educational Resources Information Center

    DePanfilis, Diane; Salus, Marsha K.

    This manual provides the foundation for a series of manuals on child abuse and neglect, and addresses community prevention, identification, and treatment efforts. It is intended to be used by all professionals involved in child protection: child protective services, law enforcement, education, mental health, legal services, health care, and early…

  6. Multi-Cultural Competency-Based Vocational Curricula. Maintenance Mechanics. Multi-Cultural Competency-Based Vocational/Technical Curricula Series.

    ERIC Educational Resources Information Center

    Hepburn, Larry; Shin, Masako

    This document, one of eight in a multi-cultural competency-based vocational/technical curricula series, is on maintenance mechanics. This program is designed to run 40 weeks and cover 5 instructional areas: basic electricity (14 weeks); maintenance and repair of heating (4 weeks); maintenance and repair of air conditioning (12 weeks); maintenance…

  7. Taking Flight: Adolescent Girls' Camps in Lok Jumbish of Rajasthan, India. Education for All: Making It Work. Innovation Series.

    ERIC Educational Resources Information Center

    United Nations Educational, Scientific and Cultural Organization, Bangkok (Thailand). Principal Regional Office for Asia and the Pacific.

    The Education for All: Making It Work series is a major international interagency program designed to collect, analyze, and promote successful basic education projects in the least developed and developing countries. This project report describes the innovative work being undertaken in adolescent girls' camps in Lok Jumbish (Rajasthan, India).…

  8. Invitations to Life's Diversity. Teacher-Friendly Science Activities with Reproducible Handouts in English and Spanish. Grades 3-5. Living Things Science Series.

    ERIC Educational Resources Information Center

    Camp, Carole Ann, Ed.

    This booklet, one of six in the Living Things Science series, presents activities about diversity and classification of living things which address basic "Benchmarks" suggested by the American Association for the Advancement of Science for the Living Environment for grades 3-5. Contents include background information, vocabulary (in…

  9. Invitations to Evolving. Teacher-Friendly Science Activities with Reproducible Handouts in English and Spanish. Grades 3-5. Living Things Science Series.

    ERIC Educational Resources Information Center

    Camp, Carole Ann, Ed.

    This booklet, one of six in the Living Things Science series, presents activities about evolution which address basic "Benchmarks" suggested by the American Association for the Advancement of Science for the Living Environment for grades 3-5. Contents include background information, vocabulary (in English and Spanish), materials,…

  10. Peri-operative care.

    PubMed

    Baston, Helen

    2004-05-01

    This is the third 'midwifery basics' series aimed at student midwives, and focuses on midwifery care during labour. This article provides a summary of peri-operative care for women who experience caesarean birth. Students are encouraged to seek further information through a series of activities, and to link theory with practice by considering the issues relating to the care of the woman described in the short vignette.

  11. The second stage of labour.

    PubMed

    Baston, Helen

    2004-03-01

    This is the third 'midwifery basics' series aimed at student midwives, and focuses on midwifery care during labour. This month, we look at care during the second stage of labour. Students are encouraged to seek further information through a series of activities, and to link theory with practice by considering the issues relating to the care of the woman described in the vignette.

  12. Teachers, Computers & Kids: Recipes for Success in Early Childhood Settings. Kids and Computers, Number 1.

    ERIC Educational Resources Information Center

    Crowe, Suzy; Penney, Elaine

    This book is the first volume in the "Kids and Computers" series, a series of books designed to help adults easily use high-quality, developmentally appropriate software with children. After reviewing the basics of selected software packages (how to start the program, stop the program, move around, and use special keys) several ideas and…

  13. Paleo Biology, Bones: Clues to Mankind's Past. [Aids to Individualize the Teaching of Science, Mini-Course Units.

    ERIC Educational Resources Information Center

    Owens, Janet

    This booklet, one of a series developed by the Frederick County Board of Education, Frederick, Maryland, provides an instruction module for an individualized or flexible approach to secondary science teaching. Subjects and activities in this series of booklets are designed to supplement a basic curriculum or to form a total curriculum, and relate…

  14. Basic Concepts and Definitions for Privacy and Confidentiality in Student Education Records. SLDS Technical Brief 1. NCES 2011-601

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2010

    2010-01-01

    The National Center for Education Statistics (NCES) is launching a new series of Technical Briefs on various aspects of the protection of personally identifiable information in students' education records. While driven by recent events, the principles and practices that are outlined in this series can be applied more generally to personally…

  15. Library Research Guide to Sociology. Illustrated Search Strategy and Sources. ("Library Research Guides" Series, No. 5).

    ERIC Educational Resources Information Center

    McMillan, Patricia; Kennedy, James R., Jr.

    One in a series, this guide takes the college student through the steps involved in a thorough, systematic research of any topic in sociology. Beginning with the basics, the guide covers selecting a topic, locating an authoritative summary of the topic, taking clear notes, and narrowing the topic. Subsequent chapters cover the use of general…

  16. Students' Constitutional Right to a Sound Basic Education: New York State's Unfinished Agenda. Part 4. Ensuring Resource Accountability

    ERIC Educational Resources Information Center

    Wolff, Jessica R.; Rebell, Michael A.; Rogers, Joseph R., Jr.

    2016-01-01

    This is the fourth in a series of reports that are the culmination of two years of research by the Campaign for Educational Equity, a policy and research center at Teachers College, Columbia University, and significant input from the Safeguarding Sound Basic Education Task Force, a statewide group made up of representatives from New York's leading…

  17. Military Curricula for Vocational & Technical Education. Basic Electricity and Electronics. CANTRAC A-100-0010. Module 34: Linear Integrated Circuits. Study Booklet.

    ERIC Educational Resources Information Center

    Chief of Naval Education and Training Support, Pensacola, FL.

    This individualized learning module on linear integrated circuits is one in a series of modules for a course in basic electricity and electronics. The course is one of a number of military-developed curriculum packages selected for adaptation to vocational instructional and curriculum development in a civilian setting. Two lessons are included in…

  18. Matematicas en la vida actual. Volumen II, edicion para el maestro. (Mathematics: A Practical View. Volume II, Teacher Edition). Applied Basic Curriculum Series.

    ERIC Educational Resources Information Center

    Evaluation, Dissemination and Assessment Center, Dallas.

    This Spanish language teacher's edition of a practical mathematics text for the intermediate grades contains three components which can be structured in different combinations according to different student needs. Built around a review of selected objectives in the mathematics basic curriculum, the material is intended to stimulate interest in…

  19. Matematicas en la vida actual. Volumen I, edicion para el maestro. (Mathematics: A Practical View. Volume I, Teacher Edition). Applied Basic Curriculum Series.

    ERIC Educational Resources Information Center

    Evaluation, Dissemination and Assessment Center, Dallas.

    This Spanish language teacher's edition of a practical mathematics text for the intermediate grades contains three components which can be structured in different combinations according to different student needs. Built around a review of selected objectives in the mathematics basic curriculum, the material is intended to stimulate interest in…

  20. Matematicas en la vida actual. Volumen III, edicion para el maestro. (Mathematics: A Practical View. Volume III, Teacher Edition). Applied Basic Curriculum Series.

    ERIC Educational Resources Information Center

    Evaluation, Dissemination and Assessment Center, Dallas.

    This Spanish language teacher's edition of a practical mathematics text for the intermediate grades contains three components which can be structured in different combinations according to different student needs. Built around a review of selected objectives in the mathematics basic curriculum, the material is intended to stimulate interest in…

  1. Students' Constitutional Right to a Sound Basic Education: New York State's Unfinished Agenda. Part 2. Filling the Regulatory Gaps

    ERIC Educational Resources Information Center

    Rebell, Michael A.; Wolff, Jessica R.; Rogers, Joseph R., Jr.; Saleh, Matthew

    2016-01-01

    This is the second in a series of reports that are the culmination of two years of research by the Campaign for Educational Equity, a policy and research center at Teachers College, Columbia University, and significant input from the Safeguarding Sound Basic Education Task Force, a statewide group made up of representatives from New York's leading…

  2. Toward Defining and Improving Quality in Adult Basic Education: Issues and Challenges. Rutgers Invitational Symposium on Education Series

    ERIC Educational Resources Information Center

    Belzer, Alisa, Ed.

    2007-01-01

    This volume revisits, problematizes, and expands the meaning of quality in the context of adult basic education. Covering a wide range of relevant topics, it includes contributors from the realms of both policy and practice and encompasses both the major instructional areas--reading, writing, and mathematics--as well as larger issues of literacy,…

  3. Starch Products. Learning Activity Pack and Instructor's Guide 5.9. Commercial Foods and Culinary Arts Competency-Based Series. Section 5: Basic Food Preparation.

    ERIC Educational Resources Information Center

    Florida State Univ., Tallahassee. Center for Studies in Vocational Education.

    This document consists of a learning activity packet (LAP) for the student and an instructor's guide for the teacher. The LAP is intended to acquaint occupational home economics students with some basic information about starches and with three starch products found throughout the world: cereals and rice, potatoes, and pasta. Illustrated…

  4. Education and the Consolidation of Democracy in Latin America: Innovations To Provide Quality Basic Education with Equity. Advocacy Series Education and Development 4.

    ERIC Educational Resources Information Center

    Reimers, Fernando

    Three case studies show innovative education programs that provide quality basic education with equity. After explaining the significance of educational innovation of democracy in Latin America and the constraints to educational development, the investigation of the three programs follows. The program of Fe y Alegria (Faith and Joy) in 12…

  5. Development and Validation of the Life Sciences Assessment: A Measure of Preschool Children's Conceptions of Basic Life Sciences

    ERIC Educational Resources Information Center

    Maherally, Uzma Nooreen

    2014-01-01

    The purpose of this study was to develop and validate a science assessment tool termed the Life Sciences Assessment (LSA) in order to assess preschool children's conceptions of basic life sciences. The hypothesis was that the four sub-constructs, each of which can be measured through a series of questions on the LSA, will make a significant…

  6. Military Curricula for Vocational & Technical Education. Basic Electricity and Electronics. CANTRAC A-100-0010. Module 33: Special Devices. Study Booklet.

    ERIC Educational Resources Information Center

    Chief of Naval Education and Training Support, Pensacola, FL.

    This individualized learning module on special devices is one in a series of modules for a course in basic electricity and electronics. The course is one of a number of military-developed curriculum packages selected for adaptation to vocational instructional and curriculum development in a civilian setting. Four lessons are included in the…

  7. Military Curricula for Vocational & Technical Education. Basic Electricity and Electronics. CANTRAC A-100-0010. Module 25: Special Devices. Study Booklet.

    ERIC Educational Resources Information Center

    Chief of Naval Education and Training Support, Pensacola, FL.

    This individualized learning module on special devices is one in a series of modules for a course in basic electricity and electronics. The course is one of a number of military-developed curriculum packages selected for adaptation to vocational instructional and curriculum development in a civilian setting. Two lessons are included in the module:…

  8. Military Curricula for Vocational & Technical Education. Basic Electricity and Electronics. CANTRAC A-100-0010. Module 30: Intermediate Power Supplies. Study Booklet.

    ERIC Educational Resources Information Center

    Chief of Naval Education and Training Support, Pensacola, FL.

    This individualized learning module on intermediate power supplies is one in a series of modules for a course in basic electricity and electronics. The course is one of a number of military-developed curriculum packages selected for adaptation to vocational instructional and curriculum development in a civilian setting. Four lessons are included…

  9. General medicine and surgery for dental practitioners: part 2. Medical emergencies in dental practice: the drug box, equipment and basic principles of management.

    PubMed

    Greenwood, M; Meechan, J G

    2014-06-13

    Dental practitioners need knowledge of the diagnosis and management of medical emergencies. This paper deals with the general aspects of emergency treatment including basic management principles which are applicable to all emergencies. The next paper in this series, part 3, deals with more specific aspects of medical emergency management.

  10. The relation between global migration and trade networks

    NASA Astrophysics Data System (ADS)

    Sgrignoli, Paolo; Metulini, Rodolfo; Schiavo, Stefano; Riccaboni, Massimo

    2015-01-01

    In this paper we develop a methodology to analyze and compare multiple global networks, focusing our analysis on the relation between human migration and trade. First, we identify the subset of products for which the presence of a community of migrants significantly increases trade intensity, where to assure comparability across networks we apply a hypergeometric filter that lets us identify those links which intensity is significantly higher than expected. Next, proposing a new way to define country neighbors based on the most intense links in the trade network, we use spatial econometrics techniques to measure the effect of migration on international trade, while controlling for network interdependences. Overall, we find that migration significantly boosts trade across countries and we are able to identify product categories for which this effect is particularly strong.

  11. DOE Office of Scientific and Technical Information (OSTI.GOV)

    Ahmed, Jawad; Shahzad, Azeem; Khan, Masood

    This article focuses on the exact solution regarding convective heat transfer of a magnetohydrodynamic (MHD) Jeffrey fluid over a stretching sheet. The effects of joule and viscous dissipation, internal heat source/sink and thermal radiation on the heat transfer characteristics are taken in account in the presence of a transverse magnetic field for two types of boundary heating process namely prescribed power law surface temperature (PST) and prescribed heat flux (PHF). Similarity transformations are used to reduce the governing non-linear momentum and thermal boundary layer equations into a set of ordinary differential equations. The exact solutions of the reduced ordinary differentialmore » equations are developed in the form of confluent hypergeometric function. The influence of the pertinent parameters on the temperature profile is examined. In addition the results for the wall temperature gradient are also discussed in detail.« less

  12. A differential equation for the asymptotic fitness distribution in the Bak-Sneppen model with five species.

    PubMed

    Schlemm, Eckhard

    2015-09-01

    The Bak-Sneppen model is an abstract representation of a biological system that evolves according to the Darwinian principles of random mutation and selection. The species in the system are characterized by a numerical fitness value between zero and one. We show that in the case of five species the steady-state fitness distribution can be obtained as a solution to a linear differential equation of order five with hypergeometric coefficients. Similar representations for the asymptotic fitness distribution in larger systems may help pave the way towards a resolution of the question of whether or not, in the limit of infinitely many species, the fitness is asymptotically uniformly distributed on the interval [fc, 1] with fc ≳ 2/3. Copyright © 2015 Elsevier Inc. All rights reserved.

  13. Hypergeometric Forms for Ising-Class Integrals

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    Bailey, David H.; Borwein, David; Borwein, Jonathan M.

    2006-07-01

    We apply experimental-mathematical principles to analyzecertain integrals relevant to the Ising theory of solid-state physics. Wefind representations of the these integrals in terms of MeijerG-functions and nested-Barnes integrals. Our investigations began bycomputing 500-digit numerical values of Cn,k,namely a 2-D array of Isingintegrals for all integers n, k where n is in [2,12]and k is in [0,25].We found that some Cn,k enjoy exact evaluations involving DirichletL-functions or the Riemann zeta function. In theprocess of analyzinghypergeometric representations, we found -- experimentally and strikingly-- that the Cn,k almost certainly satisfy certain inter-indicialrelations including discrete k-recursions. Using generating functions,differential theory, complex analysis, and Wilf-Zeilbergermore » algorithms weare able to prove some central cases of these relations.« less

  14. Higher-order automatic differentiation of mathematical functions

    NASA Astrophysics Data System (ADS)

    Charpentier, Isabelle; Dal Cappello, Claude

    2015-04-01

    Functions of mathematical physics such as the Bessel functions, the Chebyshev polynomials, the Gauss hypergeometric function and so forth, have practical applications in many scientific domains. On the one hand, differentiation formulas provided in reference books apply to real or complex variables. These do not account for the chain rule. On the other hand, based on the chain rule, the automatic differentiation has become a natural tool in numerical modeling. Nevertheless automatic differentiation tools do not deal with the numerous mathematical functions. This paper describes formulas and provides codes for the higher-order automatic differentiation of mathematical functions. The first method is based on Faà di Bruno's formula that generalizes the chain rule. The second one makes use of the second order differential equation they satisfy. Both methods are exemplified with the aforementioned functions.

  15. La ciencia en la vida actual. Volumen I. Edicion para el maestro (Science in Everyday Life. Volume I. Teacher Edition). Applied Basic Curriculum Series.

    ERIC Educational Resources Information Center

    Evaluation, Dissemination and Assessment Center, Dallas.

    This guide, the first in a series of three, provides the Spanish-speaking intermediate science student and teacher an opportunity to review selected science concepts and processes through activities which emphasize the applicability of scientific knowledge in the professional world. The three components in this guide deal with (1) ecology (what…

  16. La ciencia en la vida actual. Volumen II. Edicion para el maestro (Science in Everyday Life. Volume II. Teacher Edition). Applied Basic Curriculum Series.

    ERIC Educational Resources Information Center

    Evaluation, Dissemination and Assessment Center, Dallas.

    This guide, the second in a series of three, provides the Spanish-speaking intermediate science student and teacher an opportunity to review selected science concepts and processes through activities which emphasize the applicability of scientific knowledge in the professional world. This guide is divided into three components. The first component…

  17. La ciencia en la vida actual. Volumen III. Edicion para el maestro (Science in Everyday Life. Volume III. Teacher Edition). Applied Basic Curriculum Series.

    ERIC Educational Resources Information Center

    Evaluation, Dissemination and Assessment Center, Dallas.

    This guide, the third in a series of three, provides the Spanish-speaking intermediate science student and teacher an opportunity to review selected science concepts and processes through activities which emphasize the applicability of scientific knowledge in the professional world. The three components in this guide deal with (1) the scientific…

  18. Invitations to Cells: Life's Building Blocks. Teacher-Friendly Science Activities with Reproducible Handouts in English and Spanish. Grades 3-5. Living Things Science Series.

    ERIC Educational Resources Information Center

    Camp, Carole Ann, Ed.

    This booklet, one of six in the Living Things Science series, presents activities about cells which address basic "Benchmarks" suggested by the American Association for the Advancement of Science for the Living Environment for grades 3-5. Contents include background information, vocabulary (in English and Spanish), materials, procedures,…

  19. Professional Teacher Education Module Series. Provide for the First Aid Needs of Students, Module E-6 of Category E--Instructional Management.

    ERIC Educational Resources Information Center

    Ohio State Univ., Columbus. National Center for Research in Vocational Education.

    This sixth in a series of nine learning modules on instructional management is designed to assist secondary and postsecondary vocational teachers in establishing and maintaining a procedure for attending to the basic first aid needs of students. Introductory sections relate the competency dealt with in this module to others in the program and list…

  20. Infant feeding. 5. Managing baby related feeding challenges.

    PubMed

    Marshall, Joyce

    2013-02-01

    'Infant feeding' is the 12th series of 'Midwifery basics' targeted at practising midwives. The aim of these articles is to inform and encourage readers to seek further information through a series of activities relating to the topic. In this fifth article Joyce Marshall considers a range of baby related issues that pose challenges for both mothers and midwives in relation to infant feeding.

  1. Invitations to Interdependence: Caught in the Web. Teacher-Friendly Science Activities with Reproducible Handouts in English and Spanish. Grades 3-5. Living Things Science Series.

    ERIC Educational Resources Information Center

    Camp, Carole Ann, Ed.

    This booklet, one of six in the Living Things Science series, presents activities about ecosystems which address basic "Benchmarks" suggested by the American Association for the Advancement of Science for the Living Environment for grades 3-5. Contents include background information, vocabulary (in English and Spanish), materials,…

  2. Library Research Guide to History. Illustrated Search Strategy and Sources. ("Library Research Guides" Series, No. 4).

    ERIC Educational Resources Information Center

    Frick, Elizabeth

    One in a series, this guide takes the college student through the steps involved in a thorough, systematic research of any topic in history. Beginning with the basics, the guide covers selecting a topic, locating an authoritative summary of the topic, taking clear notes, and narrowing the topic. Subsequent chapters cover the use of general guides…

  3. Designing and Writing of Distance Education Materials for Basic Education and Development Training Programmes. A Report on the 1987 Workshop Series.

    ERIC Educational Resources Information Center

    Mazrui, K.; And Others

    A series of two 2-week workshops was conducted in East Africa in 1987 by the German Foundation for International Development to assist educators in the development of instructional materials for distance and adult education. These workshops were designed to: (1) bring together writers of distance education materials to share their experiences and…

  4. Policy Development and Reform Principles of Basic and Secondary Education in Finland Since 1968. Education Working Paper Series. Number 2

    ERIC Educational Resources Information Center

    Aho, Erkki; Pitkanen, Kari; Sahlberg, Pasi

    2006-01-01

    The Education Working Paper Series is produced by the Education Unit at the World Bank (HDNED). It provides an avenue for World Bank staff to publish and disseminate preliminary education findings to encourage discussion and exchange ideas within the World Bank and among the broader development community. Many factors have contributed to Finland's…

  5. Invitations to the Matter-Energy Cycle. Teacher-Friendly Science Activities with Reproducible Handouts in English and Spanish. Grades 3-5. Living Things Science Series.

    ERIC Educational Resources Information Center

    Camp, Carole Ann, Ed.

    This booklet, one of six in the Living Things Science series, presents activities about matter and energy which address basic "Benchmarks" suggested by the American Association for the Advancement of Science for the Living Environment for grades 3-5. Contents include background information, vocabulary (in English and Spanish), materials,…

  6. Invitations to Heredity: Generation to Generation. Teacher-Friendly Science Activities with Reproducible Handouts in English and Spanish. Grades 3-5. Living Things Science Series.

    ERIC Educational Resources Information Center

    Camp, Carole Ann, Ed.

    This booklet, one of six in the Living Things Science series, presents activities about heredity and genetics which address basic "Benchmarks" suggested by the American Association for the Advancement of Science for the Living Environment for grades 3-5. Contents include background information, vocabulary (in English and Spanish),…

  7. Second Wind: Bringing Good Coping Skills Materials to More Adult Students. Final Narrative Report [and] Coping Skills for Adults Series.

    ERIC Educational Resources Information Center

    New Educational Projects, Inc., Lancaster, PA.

    This document consists of a narrative final project report and the project product, a new edition of five booklets in the "Coping with Crisis" series. The report describes the process of redesigning and repackaging existing adult basic education materials; comments from three students are given. The five booklets are as follows: (1)…

  8. Students' Constitutional Right to a Sound Basic Education: New York State's Unfinished Agenda. Part 3. Utilizing a Constitutional Cost Methodology

    ERIC Educational Resources Information Center

    Rebell, Michael A.; Wolff, Jessica R.

    2016-01-01

    This is the third in a series of reports that are the culmination of two years of research by the Campaign for Educational Equity, a policy and research center at Teachers College, Columbia University, and significant input from the Safeguarding Sound Basic Education Task Force, a statewide group made up of representatives from New York's leading…

  9. Military Curricula for Vocational & Technical Education. Basic Electricity and Electronics Individualized Learning System. CANTRAC A-100-0010. Module Eleven: Capacitance. Study Booklet.

    ERIC Educational Resources Information Center

    Chief of Naval Education and Training Support, Pensacola, FL.

    This individualized learning module on capacitance is one in a series of modules for a course in basic electricity and electronics. The course is one of a number of military-developed curriculum packages selected for adaptation to vocational instructional and curriculum development in a civilian setting. Seven lessons are included in the module:…

  10. The Basic Program of Vocational Agriculture in Louisiana. Ag I and Ag II (9th and 10th Grades). Volume III. Bulletin 1690-III.

    ERIC Educational Resources Information Center

    Louisiana State Dept. of Education, Baton Rouge. Div. of Vocational Education.

    This curriculum guide, the third volume of the series, outlines the basic program of vocational agriculture for Louisiana students in the ninth and tenth grades. Covered in the five units on plant science are growth processes of plants, cultural practices for plants, insects affecting plants, seed and plant selection, and diseases that affect…

  11. Military Curricula for Vocational & Technical Education. Basic Electricity and Electronics Individualized Learning System. CANTRAC A-100-0010. Module Two: Voltage. Study Booklet.

    ERIC Educational Resources Information Center

    Chief of Naval Education and Training Support, Pensacola, FL.

    This individualized learning module on voltage is one in a series of modules for a course in basic electricity and electronics. The course is one of a number of military-developed curriculum packages selected for adaptation to vocational instructional and curriculum development in a civilian setting. Six lessons are included in the module: (1)…

  12. Military Curricula for Vocational & Technical Education. Basic Electricity and Electronics Individualized Learning System. CANTRAC A-100-0010. Module Ten: Transformers. Study Booklet.

    ERIC Educational Resources Information Center

    Chief of Naval Education and Training Support, Pensacola, FL.

    This individualized learning module on transformers is one in a series of modules for a course in basic electricity and electronics. The course is one of a number of military-developed curriculum packages selected for adaptation to vocational instructional and curriculum development in a civilian setting. Six lessons are included in the module:…

  13. Military Curricula for Vocational & Technical Education. Basic Electricity and Electronics Individualized Learning System. CANTRAC A-100-0010. Module Six: Parallel Circuits. Study Booklet.

    ERIC Educational Resources Information Center

    Chief of Naval Education and Training Support, Pensacola, FL.

    This individualized learning module on parallel circuits is one in a series of modules for a course in basic electricity and electronics. The course is one of a number of military-developed curriculum packages selected for adaptation to vocational instructional and curriculum development in a civilian setting. Four lessons are included in the…

  14. Heuristic and algorithmic processing in English, mathematics, and science education.

    PubMed

    Sharps, Matthew J; Hess, Adam B; Price-Sharps, Jana L; Teh, Jane

    2008-01-01

    Many college students experience difficulties in basic academic skills. Recent research suggests that much of this difficulty may lie in heuristic competency--the ability to use and successfully manage general cognitive strategies. In the present study, the authors evaluated this possibility. They compared participants' performance on a practice California Basic Educational Skills Test and on a series of questions in the natural sciences with heuristic and algorithmic performance on a series of mathematics and reading comprehension exercises. Heuristic competency in mathematics was associated with better scores in science and mathematics. Verbal and algorithmic skills were associated with better reading comprehension. These results indicate the importance of including heuristic training in educational contexts and highlight the importance of a relatively domain-specific approach to questions of cognition in higher education.

  15. Basic glossary on genetic epidemiology.

    PubMed

    Malats, N; Calafell, F

    2003-07-01

    This is the second of a series of three glossaries on genetic concepts used in epidemiological research that the journal is publishing with the objective of helping the reader "walk" around the journal.

  16. The Dean as Administrator: Roles, Functions and Attributes. A Compilation of Presentations from the Executive Development Series I: "Have You Ever Thought of Being a Dean?" (1980-1981). Volume I.

    ERIC Educational Resources Information Center

    American Association of Colleges of Nursing, Washington, DC.

    The role and attributes of deans of nursing as administrators of baccalaureate or higher degree programs are considered by six deans who contributed to a continuing education workshop series. In addition to outlining skills and attributes needed by administrators, Elizabeth Grossman examines five basic administrative functions: planning,…

  17. Small-signal model for the series resonant converter

    NASA Technical Reports Server (NTRS)

    King, R. J.; Stuart, T. A.

    1985-01-01

    The results of a previous discrete-time model of the series resonant dc-dc converter are reviewed and from these a small signal dynamic model is derived. This model is valid for low frequencies and is based on the modulation of the diode conduction angle for control. The basic converter is modeled separately from its output filter to facilitate the use of these results for design purposes. Experimental results are presented.

  18. The F-12 series aircraft approach to design for control system reliability

    NASA Technical Reports Server (NTRS)

    Schenk, F. L.; Mcmaster, J. R.

    1976-01-01

    The F-12 series aircraft control system design philosophy is reviewed as it pertains to functional reliability. The basic control system, i.e., cables, mixer, feel system, trim devices, and hydraulic systems are described and discussed. In addition, the implementation of the redundant stability augmentation system in the F-12 aircraft is described. Finally, the functional reliability record that has been achieved is presented.

  19. Creepy Critters (Snakes). [Aids to Individualize the Teaching of Science, Mini-Course Units for Grades 7, 8, and 9.

    ERIC Educational Resources Information Center

    Best, Terrence

    This booklet, one of a series developed by the Frederick County Board of Education, Frederick, Maryland, provides an instruction module for an individualized or flexible approach to 7th, 8th, and 9th grade science teaching. Subjects and activities in this series of booklets are designed to supplement a basic curriculum or to form a total…

  20. Protist: The "Unseen" Kingdom. [Aids to Individualize the Teaching of Science, Mini-Course Units for Grades 7, 8, and 9.

    ERIC Educational Resources Information Center

    Whitfield, Melvin

    This booklet, one of a series developed by the Frederick County Board of Education, Frederick, Maryland, provides an instruction module for an individualized or flexible approach to 7th, 8th, and 9th grade science teaching. Subjects and activities in this series of booklets are designed to supplement a basic curriculum or to form a total…

  1. Personal Docente del Nivel Primario. Series Estadisticas Basicas, Nivel Educativo: Cordoba (Teaching Personnel in Primary Schools. Basic Statistics Series , Level of Education: Cordoba).

    ERIC Educational Resources Information Center

    Ministerio de Educacion Nacional, Bogota (Colombia). Instituto Colombiano de Pedagogia.

    This document provides statistical data on the distribution and education of teaching personnel working the elementary schools of Cordoba, Colombia, between 1958 and 1967. The statistics cover the number of men and women, public and private schools, urban and rural location, and the amount of education of the teachers. For overall statistics in…

  2. Personal Docente des Nivel Primario. Series Estadisticas Basicas, Nivel Educativo: Narino (Teaching Personnel in Primary Schools. Basic Statistics Series, Level of Education: Narino).

    ERIC Educational Resources Information Center

    Ministerio de Educacion Nacional, Bogota (Colombia). Instituto Colombiano de Pedagogia.

    This document provides statistical data on the distribution and education of teaching personnel working in the elementary schools of Narino, Colombia, between 1958 and 1967. The statistics cover the number of men and women, public and private schools, urban and rural location, and the amount of education of the teachers. For overall statistics in…

  3. Personal Docente del Nivel Primario. Series Estadisticas Basicas, Nivel Educativo: Cauca (Teaching Personnel in Primary Schools. Basic Statistics Series, Level of Education: Cauca).

    ERIC Educational Resources Information Center

    Ministerio de Educacion Nacional, Bogota (Colombia). Instituto Colombiano de Pedagogia.

    This document provides statistical data on the distribution and education of teaching personnel working in the elementary schools of Cauca, Colombia, between 1958 and 1967. The statistics cover the number of men and women, public and private schools, urban and rural location, and the amount of education of the teachers. For overall statistics in…

  4. Personal Docente del Nivel Primario. Series Estadisticas Basicas, Nivel Educativo: Caldas (Teaching Personnel in Primary Schools. Basic Statistics Series, Level of Education: Caldas).

    ERIC Educational Resources Information Center

    Ministerio de Educacion Nacional, Bogota (Colombia). Instituto Colombiano de Pedagogia.

    This document provides statistical data on the distribution and education of teaching personnel working in the elementary schools of Caldas, Colombia, between 1958 and 1967. The statistics cover the number of men and women, public and private schools, urban and rural location, and the amount of education of the teachers. For overall statistics in…

  5. Personal Docente del Nivel Primario. Series Estadisticas Basicas, Nivel Educativo: Boyaca (Teaching Personnel in Primary Schools. Basic Statistics Series, Level of Education: Boyaca).

    ERIC Educational Resources Information Center

    Ministerio de Educacion Nacional, Bogota (Colombia). Instituto Colombiano de Pedagogia.

    This document provides statistical data on the distribution and education of teaching personnel working in the elementary schools of Boyaca, Colombia, between 1958 and 1967. The statistics cover the number of men and women, public and private schools, urban and rural location, and the amount of education of the teachers. For overall statistics in…

  6. Personal Docente del Nivel Primario. Series Estadisticas Basicas, Nivel Educativo: Huila (Teaching Personnel in Primary Schools. Basic Statistics Series, Level of Education: Huila).

    ERIC Educational Resources Information Center

    Ministerio de Educacion Nacional, Bogota (Colombia). Instituto Colombiano de Pedagogia.

    This document provides statistical data on the distribution and education of teaching personnel working in the elementary schools of Huila, Colombia, between 1958 and 1967. The statistics cover the number of men and women, public and private schools, urban and rural location, and the amount of education of the teachers. For overall statistics in…

  7. Vandalism Prevention. ACSA School Management Digest, Series 1, Number 2. ERIC/CEM Research Analysis Series, Number 29.

    ERIC Educational Resources Information Center

    Coursen, David

    Estimates of the precise costs of school vandalism vary widely, but the seriousness of the problem is beyond dispute. It is possible to get a general idea of the nature and motivation of most vandals and, in doing so, begin to understand the problem and devise solutions for it. There are two basic approaches to vandalism prevention. Currently, as…

  8. Highly Efficient Flexible Hybrid Photovoltaic Cells Based on Low-Band-Gap Conjugated Polymers Sensitized by Nanoparticle-Grafted Carbon

    DTIC Science & Technology

    2010-09-01

    modeling, synthesis , and characterization of several series functional and processable electro-active conjugated polymers with evolving frontier...tasks as a basic obligation of this award: Task #1. Low Band Gap Polymers The awardee (Professor Sun’s group at NSU) shall design, synthesis , and...design, modeling, synthesis , and characterizations of several series functional and processable electro-active conjugated polymers with evolving

  9. The PRAXIS I Math Study Guide Questions and the PRAXIS I Math Skills Test Questions: A Statistical Study

    ERIC Educational Resources Information Center

    Wilkins, M. Elaine

    2012-01-01

    In 2001, No Child Left Behind introduced the highly qualified status for k-12 teachers, which mandated the successful scores on a series of high-stakes test; within this series is the Pre-Professional Skills Test (PPST) or PRAXIS I. The PPST measures basic k-12 skills for reading, writing, and mathematics. The mathematics sub-test is a national…

  10. Space and Its Problems. [Aids to Individualize the Teaching of Science, Mini-Course Units for Grades 7, 8, and 9.

    ERIC Educational Resources Information Center

    Geist, John E.

    This booklet, one of a series developed by the Frederick County Board of Education, Frederick, Maryland, provides an instruction module for an individualized or flexible approach to 7th, 8th, and 9th grade science teaching. Subjects and activities in this series of booklets are designed to supplement a basic curriculum or to form a total…

  11. Guess Who's Been Here for Dinner? [Aids to Individualize the Teaching of Science, Mini-Course Units for Grades 7, 8, and 9.

    ERIC Educational Resources Information Center

    Cook, Paul

    This booklet, one of a series developed by the Frederick County Board of Education, Frederick, Maryland, provides an instruction module for an individualized or flexible approach to 7th, 8th, and 9th grade science teaching. Subjects and activities in this series of booklets are designed to supplement a basic curriculum or to form a total…

  12. Basic-functionalized recyclable ionic liquid catalyst: A solvent-free approach for Michael addition of 1,3-dicarbonyl compounds to nitroalkenes under ultrasound irradiation.

    PubMed

    Narayanaperumal, Senthil; da Silva, Rodrigo César; Feu, Karla Santos; de la Torre, Alexander Fernández; Corrêa, Arlene G; Paixão, Márcio Weber

    2013-05-01

    A task-specific ionic liquid (TSIL) has been introduced as a recyclable catalyst in Michael addition. A series of nitroalkenes and various C-based nucleophiles were reacted in the presence of 30mol% of recyclable basic-functionalized ionic liquid. Good to excellent yields were obtained in 30min under ultrasound irradiation. Copyright © 2012 Elsevier B.V. All rights reserved.

  13. Military Curricula for Vocational & Technical Education. Basic Electricity and Electronics Individualized Learning System. CANTRAC A-100-0010. Module Five: Relationships of Current, Voltage, and Resistance. Study Booklet.

    ERIC Educational Resources Information Center

    Chief of Naval Education and Training Support, Pensacola, FL.

    This individualized learning module on the relationships of current, voltage, and resistance is one in a series of modules for a course in basic electricity and electronics. The course is one of a number of military-developed curriculum packages selected for adaptaticn to vocational instructional and curriculum development in a civilian setting.…

  14. Military Curricula for Vocational & Technical Education. Basic Electricity and Electronics. CANTRAC A-100-0010. Module 20: Solid State Power Supplies; 20T: Electron Tube Power Supplies. Study Booklet.

    ERIC Educational Resources Information Center

    Chief of Naval Education and Training Support, Pensacola, FL.

    This set of individualized learning modules on power supplies is one in a series of modules for a course in basic electricity and electronics. The course is one of a number of military-developed curriculum packages selected for adaptation to vocational instructional and curriculum development in a civilian setting. Two modules are included in the…

  15. [Postpartal ovarian thrombophlebitis. Value of Doppler ultrasonograph y].

    PubMed

    Renaud-Giono, A; Giraud, J R; Poulain, P; Proudhon, J F; Grall, J Y; Moquet, P Y; Darnault, J P

    1996-01-01

    Thrombophlebitis of the ovarian vein is a well recognized but uncommon complication during the postpartum period. We report a small series and emphasize the contribution of color Doppler and the basic therapeutic measures.

  16. Back to basics: an introduction to statistics.

    PubMed

    Halfens, R J G; Meijers, J M M

    2013-05-01

    In the second in the series, Professor Ruud Halfens and Dr Judith Meijers give an overview of statistics, both descriptive and inferential. They describe the first principles of statistics, including some relevant inferential tests.

  17. The role of alternative (advanced) conscious sedation techniques in dentistry for adult patients: a series of cases.

    PubMed

    Robb, N

    2014-03-01

    The basic techniques of conscious sedation have been found to be safe and effective for the management of anxiety in adult dental patients requiring sedation to allow them to undergo dental treatment. There remains great debate within the profession as to the role of the so called advanced sedation techniques. This paper presents a series of nine patients who were managed with advanced sedation techniques where the basic techniques were either inappropriate or had previously failed to provide adequate relief of anxiety. In these cases, had there not been the availability of advanced sedation techniques, the most likely recourse would have been general anaesthesia--a treatment modality that current guidance indicates should not be used where there is an appropriate alternative. The sedation techniques used have provided that appropriate alternative management strategy.

  18. New class of generalized photon-added coherent states and some of their non-classical properties

    NASA Astrophysics Data System (ADS)

    Mojaveri, B.; Dehghani, A.; Mahmoodi, S.

    2014-08-01

    In this paper, we construct a new class of generalized photon added coherent states (GPACSs), |z,m{{\\rangle }_{r}} by excitations on a newly introduced family of generalized coherent states (GCSs) |z{{\\rangle }_{r}} (A Dehghani and B Mojaveri 2012 J. Phys. A: Math. Theor. 45 095304), obtained via generalized hypergeometric type displacement operators acting on the vacuum state of the simple harmonic oscillator. We show that these states realize resolution of the identity property through positive definite measures on the complex plane. Meanwhile, we demonstrate that the introduced states can also be interpreted as nonlinear coherent states (NLCSs), with a spacial nonlinearity function. Finally, some of their non-classical features as well as their quantum statistical properties are compared with Agarwal's photon-added coherent states (PACSs), \\left| z,m \\right\\rangle .

  19. Optical model calculations of heavy-ion target fragmentation

    NASA Technical Reports Server (NTRS)

    Townsend, L. W.; Wilson, J. W.; Cucinotta, F. A.; Norbury, J. W.

    1986-01-01

    The fragmentation of target nuclei by relativistic protons and heavy ions is described within the context of a simple abrasion-ablation-final-state interaction model. Abrasion is described by a quantum mechanical formalism utilizing an optical model potential approximation. Nuclear charge distributions of the excited prefragments are calculated by both a hypergeometric distribution and a method based upon the zero-point oscillations of the giant dipole resonance. Excitation energies are estimated from the excess surface energy resulting from the abrasion process and the additional energy deposited by frictional spectator interactions of the abraded nucleons. The ablation probabilities are obtained from the EVA-3 computer program. Isotope production cross sections for the spallation of copper targets by relativistic protons and for the fragmenting of carbon targets by relativistic carbon, neon, and iron projectiles are calculated and compared with available experimental data.

  20. Unsteady flow of fractional Oldroyd-B fluids through rotating annulus

    NASA Astrophysics Data System (ADS)

    Tahir, Madeeha; Naeem, Muhammad Nawaz; Javaid, Maria; Younas, Muhammad; Imran, Muhammad; Sadiq, Naeem; Safdar, Rabia

    2018-04-01

    In this paper exact solutions corresponding to the rotational flow of a fractional Oldroyd-B fluid, in an annulus, are determined by applying integral transforms. The fluid starts moving after t = 0+ when pipes start rotating about their axis. The final solutions are presented in the form of usual Bessel and hypergeometric functions, true for initial and boundary conditions. The limiting cases for the solutions for ordinary Oldroyd-B, fractional Maxwell and Maxwell and Newtonian fluids are obtained. Moreover, the solution is obtained for the fluid when one pipe is rotating and the other one is at rest. At the end of this paper some characteristics of fluid motion, the effect of the physical parameters on the flow and a correlation between different fluid models are discussed. Finally, graphical representations confirm the above affirmation.

  1. Product of Ginibre matrices: Fuss-Catalan and Raney distributions

    NASA Astrophysics Data System (ADS)

    Penson, Karol A.; Życzkowski, Karol

    2011-06-01

    Squared singular values of a product of s square random Ginibre matrices are asymptotically characterized by probability distributions Ps(x), such that their moments are equal to the Fuss-Catalan numbers of order s. We find a representation of the Fuss-Catalan distributions Ps(x) in terms of a combination of s hypergeometric functions of the type sFs-1. The explicit formula derived here is exact for an arbitrary positive integer s, and for s=1 it reduces to the Marchenko-Pastur distribution. Using similar techniques, involving the Mellin transform and the Meijer G function, we find exact expressions for the Raney probability distributions, the moments of which are given by a two-parameter generalization of the Fuss-Catalan numbers. These distributions can also be considered as a two-parameter generalization of the Wigner semicircle law.

  2. Product of Ginibre matrices: Fuss-Catalan and Raney distributions.

    PubMed

    Penson, Karol A; Zyczkowski, Karol

    2011-06-01

    Squared singular values of a product of s square random Ginibre matrices are asymptotically characterized by probability distributions P(s)(x), such that their moments are equal to the Fuss-Catalan numbers of order s. We find a representation of the Fuss-Catalan distributions P(s)(x) in terms of a combination of s hypergeometric functions of the type (s)F(s-1). The explicit formula derived here is exact for an arbitrary positive integer s, and for s=1 it reduces to the Marchenko-Pastur distribution. Using similar techniques, involving the Mellin transform and the Meijer G function, we find exact expressions for the Raney probability distributions, the moments of which are given by a two-parameter generalization of the Fuss-Catalan numbers. These distributions can also be considered as a two-parameter generalization of the Wigner semicircle law.

  3. Quantum Hurwitz numbers and Macdonald polynomials

    NASA Astrophysics Data System (ADS)

    Harnad, J.

    2016-11-01

    Parametric families in the center Z(C[Sn]) of the group algebra of the symmetric group are obtained by identifying the indeterminates in the generating function for Macdonald polynomials as commuting Jucys-Murphy elements. Their eigenvalues provide coefficients in the double Schur function expansion of 2D Toda τ-functions of hypergeometric type. Expressing these in the basis of products of power sum symmetric functions, the coefficients may be interpreted geometrically as parametric families of quantum Hurwitz numbers, enumerating weighted branched coverings of the Riemann sphere. Combinatorially, they give quantum weighted sums over paths in the Cayley graph of Sn generated by transpositions. Dual pairs of bases for the algebra of symmetric functions with respect to the scalar product in which the Macdonald polynomials are orthogonal provide both the geometrical and combinatorial significance of these quantum weighted enumerative invariants.

  4. feets: feATURE eXTRACTOR for tIME sERIES

    NASA Astrophysics Data System (ADS)

    Cabral, Juan; Sanchez, Bruno; Ramos, Felipe; Gurovich, Sebastián; Granitto, Pablo; VanderPlas, Jake

    2018-06-01

    feets characterizes and analyzes light-curves from astronomical photometric databases for modelling, classification, data cleaning, outlier detection and data analysis. It uses machine learning algorithms to determine the numerical descriptors that characterize and distinguish the different variability classes of light-curves; these range from basic statistical measures such as the mean or standard deviation to complex time-series characteristics such as the autocorrelation function. The library is not restricted to the astronomical field and could also be applied to any kind of time series. This project is a derivative work of FATS (ascl:1711.017).

  5. Invertebrate Fossils: Clues to the Distant Past. [Aids to Individualize the Teaching of Science, Mini-Course Units for Grades 7, 8, and 9.

    ERIC Educational Resources Information Center

    Geist, John E.

    This booklet, one of a series developed by the Frederick County Board of Education, Frederick, Maryland, provides an instruction module for an individualized or flexible approach to 7th, 8th, and 9th grade science teaching. Subjects and activities in this series of booklets are designed to supplement a basic curriculum or to form a total…

  6. Giddy up & Go: Discovering Horses Activities. Level 1. 4-H Skills for Life Animal Series. National 4-H Curriculum. BU-08053

    ERIC Educational Resources Information Center

    Neiberger-Miller, Ami

    2004-01-01

    This is the first in a series of five horse project activity guides for youth. Levels 1-3 focus on "horse-less" activities, while Levels 4 and 5 zero in on riding and horsemanship. Each guide has an achievement program to encourage youth to learn and develop life skills. This guide focuses on the introductory basics and familiarizes youth with…

  7. A crash course on data analysis in asteroseismology

    NASA Astrophysics Data System (ADS)

    Appourchaux, Thierry

    2014-02-01

    In this course, I try to provide a few basics required for performing data analysis in asteroseismology. First, I address how one can properly treat times series: the sampling, the filtering effect, the use of Fourier transform, the associated statistics. Second, I address how one can apply statistics for decision making and for parameter estimation either in a frequentist of a Bayesian framework. Last, I review how these basic principle have been applied (or not) in asteroseismology.

  8. Softball Coaching.

    ERIC Educational Resources Information Center

    Lopiano, Donna; And Others

    1981-01-01

    A collection of articles provides current instructional information to softball players and coaches. Topics discussed in the series include practice, basic skills, defense, pitching, catching, offense, and warm-up exercises to be used in conjunction with other conditioning drills. (JN)

  9. Computer Series, 39.

    ERIC Educational Resources Information Center

    Moore, John W., Ed.

    1983-01-01

    Describes use of Warnier-Orr program design method for preparing general chemistry tutorial on ideal gas calculations. This program (BASIC-PLUS) is available from the author. Also describes a multipurpose computerized class record system at the University of Toledo. (JN)

  10. Exploring, tuning, and exploiting the basicity of hydrotalcites for applications in heterogeneous catalysis.

    PubMed

    Debecker, Damien P; Gaigneaux, Eric M; Busca, Guido

    2009-01-01

    Basic catalysis! The basic properties of hydrotalcites (see picture) make them attractive for numerous catalytic applications. Probing the basicity of the catalysts is crucial to understand the base-catalysed processes and to optimise the catalyst preparation. Various parameters can be employed to tune the basic properties of hydrotalcite-based catalysts towards the basicity demanded by each target chemical reaction.Hydrotalcites offer unique basic properties that make them very attractive for catalytic applications. It is of primary interest to make use of accurate tools for probing the basicity of hydrotalcite-based catalysts for the purpose of 1) fundamental understanding of base-catalysed processes with hydrotalcites and 2) optimisation of the catalytic performance achieved in reactions of industrial interest. Techniques based on probe molecules, titration techniques and test reactions along with physicochemical characterisation are overviewed in the first part of this review. The aim is to provide the tools for understanding how series of parameters involved in the preparation of hydrotalcite-based catalytic materials can be employed to control and adapt the basic properties of the catalyst towards the basicity demanded by each target chemical reaction. An overview of recent and significant achievements in that perspective is presented in the second part of the paper.

  11. Volterra-series-based nonlinear system modeling and its engineering applications: A state-of-the-art review

    NASA Astrophysics Data System (ADS)

    Cheng, C. M.; Peng, Z. K.; Zhang, W. M.; Meng, G.

    2017-03-01

    Nonlinear problems have drawn great interest and extensive attention from engineers, physicists and mathematicians and many other scientists because most real systems are inherently nonlinear in nature. To model and analyze nonlinear systems, many mathematical theories and methods have been developed, including Volterra series. In this paper, the basic definition of the Volterra series is recapitulated, together with some frequency domain concepts which are derived from the Volterra series, including the general frequency response function (GFRF), the nonlinear output frequency response function (NOFRF), output frequency response function (OFRF) and associated frequency response function (AFRF). The relationship between the Volterra series and other nonlinear system models and nonlinear problem solving methods are discussed, including the Taylor series, Wiener series, NARMAX model, Hammerstein model, Wiener model, Wiener-Hammerstein model, harmonic balance method, perturbation method and Adomian decomposition. The challenging problems and their state of arts in the series convergence study and the kernel identification study are comprehensively introduced. In addition, a detailed review is then given on the applications of Volterra series in mechanical engineering, aeroelasticity problem, control engineering, electronic and electrical engineering.

  12. Results of the mission profile life test. [for J-series mercury ion engines

    NASA Technical Reports Server (NTRS)

    Bechtel, R. T.; Trump, G. E.; James, E. L.

    1982-01-01

    Seven J series 30-cm diameter thrusters have been tested in segments of up to 5,070 hr, for 14,541 hr in the Mission Profile Life Test facility. Test results have indicated the basic thruster design to be consistent with the lifetime goal of 15,000 hr at 2-A beam. The only areas of concern identified which appear to require additional verification testing involve contamination of mercury propellant isolators, which may be due to facility constituents, and the ability of specially covered surfaces to contain sputtered material and prevent flake formation. The ability of the SCR, series resonant inverter power processor to operate the J series thruster and autonomous computer control of the thruster/processor system were demonstrated.

  13. Pharmacology education in North American dental schools: the basic science survey series.

    PubMed

    Gautam, Medha; Shaw, David H; Pate, Ted D; Lambert, H Wayne

    2013-08-01

    As part of the Basic Science Survey Series (BSSS) for Dentistry, members of the American Dental Education Association (ADEA) Physiology, Pharmacology, and Therapeutics Section surveyed course directors of basic pharmacology courses in North American dental schools. The survey was designed to assess, among other things, faculty affiliation and experience of course directors, teaching methods, general course content and emphasis, extent of interdisciplinary (shared) instruction, and impact of recent curricular changes. Responses were received from forty-nine of sixty-seven (73.1 percent) U.S. and Canadian dental schools. The findings suggest the following: 1) substantial variation exists in instructional hours, faculty affiliation, placement within curriculum, class size, and interdisciplinary nature of pharmacology courses; 2) pharmacology course content emphasis is similar among schools; 3) the number of contact hours in pharmacology has remained stable over the past three decades; 4) recent curricular changes were often directed towards enhancing the integrative and clinically relevant aspects of pharmacology instruction; and 5) a trend toward innovative content delivery, such as use of computer-assisted instruction applications, is evident. Data, derived from this study, may be useful to pharmacology course directors, curriculum committees, and other dental educators with an interest in integrative and interprofessional education.

  14. Hybrid Electric Vehicle Basics | NREL

    Science.gov Websites

    design-In this design, the energy conversion unit and an electric propulsion system are connected . Series design-In this design, the primary engine is connected to a generator that produces electricity

  15. Airport Capacity Investment Handbook

    DOT National Transportation Integrated Search

    1978-12-01

    This handbook provides a methodology for estimating the benefits and costs of capacity-related investments in airports in the United States. The procedures are laid out in a series of worksheets. The user provides certain basic information such as ex...

  16. Innovative educational modules for the next generation of transportation professionals.

    DOT National Transportation Integrated Search

    2012-07-01

    Basic science and mathematics competence, including awareness of engineering careers, gained in grades K12 forms the foundation of an educated, capable, and technical future transportation workforce. This project developed a series of educational ...

  17. Data management by using R: big data clinical research series.

    PubMed

    Zhang, Zhongheng

    2015-11-01

    Electronic medical record (EMR) system has been widely used in clinical practice. Instead of traditional record system by hand writing and recording, the EMR makes big data clinical research feasible. The most important feature of big data research is its real-world setting. Furthermore, big data research can provide all aspects of information related to healthcare. However, big data research requires some skills on data management, which however, is always lacking in the curriculum of medical education. This greatly hinders doctors from testing their clinical hypothesis by using EMR. To make ends meet, a series of articles introducing data management techniques are put forward to guide clinicians to big data clinical research. The present educational article firstly introduces some basic knowledge on R language, followed by some data management skills on creating new variables, recoding variables and renaming variables. These are very basic skills and may be used in every project of big data research.

  18. Pain Management: Part 1: Managing Acute and Postoperative Dental Pain

    PubMed Central

    Becker, Daniel E.

    2010-01-01

    Abstract Safe and effective management of acute dental pain can be accomplished with nonopioid and opioid analgesics. To formulate regimens properly, it is essential to appreciate basic pharmacological principles and appropriate dosage strategies for each of the available analgesic classes. This article will review the basic pharmacology of analgesic drug classes, including their relative efficacy for dental pain, and will suggest appropriate regimens based on pain intensity. Management of chronic pain will be addressed in the second part of this series. PMID:20553137

  19. Space-Plane Spreadsheet Program

    NASA Technical Reports Server (NTRS)

    Mackall, Dale

    1993-01-01

    Basic Hypersonic Data and Equations (HYPERDATA) spreadsheet computer program provides data gained from three analyses of performance of space plane. Equations used to perform analyses derived from Newton's second law of physics, derivation included. First analysis is parametric study of some basic factors affecting ability of space plane to reach orbit. Second includes calculation of thickness of spherical fuel tank. Third produces ratio between volume of fuel and total mass for each of various aircraft. HYPERDATA intended for use on Macintosh(R) series computers running Microsoft Excel 3.0.

  20. S.P.S.S. User's Manual #1-#4. Basic Program Construction in S.P.S.S.; S.P.S.S. Non-Procedural Statements and Procedural Commands; System Control Language and S.P.S.S.; Quick File Equate Statement Reference.

    ERIC Educational Resources Information Center

    Earl, Lorna L.

    This series of manuals describing and illustrating the Statistical Package for the Social Sciences (SPSS) was planned as a self-teaching instrument, beginning with the basics and progressing to an advanced level. Information on what the searcher must know to define the data and write a program for preliminary analysis is contained in manual 1,…

  1. Jobs and Employment Sourcebook. Basic Information about Employment Trends, Job Search Preparation, Legal Rights of Employees and Job Applicants, Balancing Work and Household Obligations, Vocational Education and Job Training, and Self-Employment Opportunities. Personal Concerns Series, Volume 1.

    ERIC Educational Resources Information Center

    Gough, Jeanne A., Ed.

    This book, which is designed for the general reader who is planning to enter the job market or contemplating a career change, contains basic information about the jobs and the employment outlook; finding a job; employer and employee rights and obligations; balancing home and work; education and training; and self-employment, small business and…

  2. Mobilization and Defense Management Technical Reports Series. Acquisition of ADP (Automated Data Processing) by the Army during Mobilization.

    DTIC Science & Technology

    1983-03-01

    have both a Federal and a State mission. The State mission is to provide protection of life and property and to preserve peace and public safety. The...logistics system is basically the same and will be integrated into the active system in wartime. Financial man- agement support consists of financial...the entire system is security. ErS is on contract to furnish basic security as well as a higher type of security known as the enhanced version

  3. [Series: Utilization of Differential Equations and Methods for Solving Them in Medical Physics (1)].

    PubMed

    Murase, Kenya

    2014-01-01

    Utilization of differential equations and methods for solving them in medical physics are presented. First, the basic concept and the kinds of differential equations were overviewed. Second, separable differential equations and well-known first-order and second-order differential equations were introduced, and the methods for solving them were described together with several examples. In the next issue, the symbolic and series expansion methods for solving differential equations will be mainly introduced.

  4. A series-resonant silicon-controlled-rectifier power processor for ion thrusters

    NASA Technical Reports Server (NTRS)

    Shumaker, H. A.; Biess, J. J.; Goldin, D. S.

    1973-01-01

    A program to develop a power processing system for ion thrusters is presented. Basic operation of the silicon controlled rectifier series inverter circuitry is examined. The approach for synthesizing such circuits into a system which limits the electrical stress levels on the power source, semiconductor switching elements, and the ion thruster load is described. Experimental results are presented for a 2.5-kW breadboard system designed to operate a 20-cm ion thruster.

  5. Modulation of the partition coefficient between octanol and buffer at pH 7.4 and pKa to achieve the optimum balance of blood clearance and volume of distribution for a series of tetrahydropyran histamine type 3 receptor antagonists.

    PubMed

    Hay, Tanya; Jones, Rhys; Beaumont, Kevin; Kemp, Mark

    2009-09-01

    The relationship between rat pharmacokinetics and physicochemical parameters [the partition coefficient between octanol and buffer at pH 7.4 (log D((7.4))) and pK(a)] was studied for a series of tetrahydropyran compounds. Sixteen compounds ranging in log D((7.4)) 0.1 to 1.8 were administered intravenously to rats, and the pharmacokinetic parameters were determined from blood concentration time curves. Across the series, a weak correlation was observed between log D((7.4)) and blood clearance, suggesting that log D((7.4)) values less than 0.5 were required to prevent clearance at hepatic blood flow. In terms of the volume of distribution (V(d)), the compounds fell into three distinct subseries characterized by the number of basic centers and differences in ionization of each basic center at physiological pH. These were referred to as the monobasic, weak second base, and strong second base subseries. All the compounds exhibited V(d) greater than body water, as would be expected from their lipophilic and basic nature. For a given clog P, the strong second base subseries showed higher V(d) than the weak second base subseries, which in turn exhibited higher values than the monobasic subseries. In addition, for the weak second base subseries, V(d) could be tuned by modulating the pK(a) of the second basic center. This relationship was rationalized in respect to the interactions of the ionizable centers with phospholipid heads in the cell membrane and/or lysosomal trapping. Compounds in the weak second base subseries showed optimal V(d), and when combined with a log D((7.4)) of 0.1, driving to moderate blood clearance, one compound showed the optimal pharmacokinetic profile.

  6. Planning and conducting meetings effectively, part I: planning a meeting.

    PubMed

    Harolds, Jay

    2011-12-01

    Meetings are held by leaders for many purposes, including conveying information, raising morale, asking for opinions, brain storming, making people part of the problem-solving process, building trust, getting to a consensus, and making decisions. However, many meetings waste time, some undermine the leader's power, and some decrease morale. Part I of this series of articles gives some tips on basic planning for decision-making meetings. Part II of this series of articles analyzes selected components of decision-making meetings. Part III of this series will be on how the chairperson keeps decision-making meetings on track to make them efficient and productive.

  7. Generation of future potential scenarios in an Alpine Catchment by applying bias-correction techniques, delta-change approaches and stochastic Weather Generators at different spatial scale. Analysis of their influence on basic and drought statistics.

    NASA Astrophysics Data System (ADS)

    Collados-Lara, Antonio-Juan; Pulido-Velazquez, David; Pardo-Iguzquiza, Eulogio

    2017-04-01

    Assessing impacts of potential future climate change scenarios in precipitation and temperature is essential to design adaptive strategies in water resources systems. The objective of this work is to analyze the possibilities of different statistical downscaling methods to generate future potential scenarios in an Alpine Catchment from historical data and the available climate models simulations performed in the frame of the CORDEX EU project. The initial information employed to define these downscaling approaches are the historical climatic data (taken from the Spain02 project for the period 1971-2000 with a spatial resolution of 12.5 Km) and the future series provided by climatic models in the horizon period 2071-2100 . We have used information coming from nine climate model simulations (obtained from five different Regional climate models (RCM) nested to four different Global Climate Models (GCM)) from the European CORDEX project. In our application we have focused on the Representative Concentration Pathways (RCP) 8.5 emissions scenario, which is the most unfavorable scenario considered in the fifth Assessment Report (AR5) by the Intergovernmental Panel on Climate Change (IPCC). For each RCM we have generated future climate series for the period 2071-2100 by applying two different approaches, bias correction and delta change, and five different transformation techniques (first moment correction, first and second moment correction, regression functions, quantile mapping using distribution derived transformation and quantile mapping using empirical quantiles) for both of them. Ensembles of the obtained series were proposed to obtain more representative potential future climate scenarios to be employed to study potential impacts. In this work we propose a non-equifeaseble combination of the future series giving more weight to those coming from models (delta change approaches) or combination of models and techniques that provides better approximation to the basic and drought statistic of the historical data. A multi-objective analysis using basic statistics (mean, standard deviation and asymmetry coefficient) and droughts statistics (duration, magnitude and intensity) has been performed to identify which models are better in terms of goodness of fit to reproduce the historical series. The drought statistics have been obtained from the Standard Precipitation index (SPI) series using the Theory of Runs. This analysis allows discriminate the best RCM and the best combination of model and correction technique in the bias-correction method. We have also analyzed the possibilities of using different Stochastic Weather Generators to approximate the basic and droughts statistics of the historical series. These analyses have been performed in our case study in a lumped and in a distributed way in order to assess its sensibility to the spatial scale. The statistic of the future temperature series obtained with different ensemble options are quite homogeneous, but the precipitation shows a higher sensibility to the adopted method and spatial scale. The global increment in the mean temperature values are 31.79 %, 31.79 %, 31.03 % and 31.74 % for the distributed bias-correction, distributed delta-change, lumped bias-correction and lumped delta-change ensembles respectively and in the precipitation they are -25.48 %, -28.49 %, -26.42 % and -27.35% respectively. Acknowledgments: This research work has been partially supported by the GESINHIMPADAPT project (CGL2013-48424-C2-2-R) with Spanish MINECO funds. We would also like to thank Spain02 and CORDEX projects for the data provided for this study and the R package qmap.

  8. Argumentation and the Unconscious.

    ERIC Educational Resources Information Center

    Hample, Dale

    1986-01-01

    Argues that the unconscious mind plays a central role in argumentation. Discusses the nature of the unconscious and analyzes invention, focusing on rules theory. Claims that argument reception is controlled by the unconscious. Identifies a series of basic issues needing investigation. (JD)

  9. Cicada Studies.

    ERIC Educational Resources Information Center

    Matthews, Catherine E.; Hildreth, David

    1997-01-01

    Presents investigations in which students are provided with a series of four mystery items related to cicadas. Observations and a class discussion follow each item. Contains basic information on doing experiments with live cicadas, specific assessment strategies for this activity, and facts about cicadas. (DDR)

  10. Evaluation of the BioVapor Model

    EPA Science Inventory

    The BioVapor model addresses transport and biodegradation of petroleum vapors in the subsurface. This presentation describes basic background on the nature and scientific basis of environmental transport models. It then describes a series of parameter uncertainty runs of the Bi...

  11. The Tableau Vivant as Basic to Theatre Study.

    ERIC Educational Resources Information Center

    Dow, Marguerite R.

    1980-01-01

    Defines "tableaux vivant" as the three-dimensional enactment of still pictures. Describes its use in the theater and as a tool in theater study. Presents a series of warm-up and tableaux exercises for use in the classroom. (JMF)

  12. Elliptic polylogarithms and iterated integrals on elliptic curves. Part I: general formalism

    NASA Astrophysics Data System (ADS)

    Broedel, Johannes; Duhr, Claude; Dulat, Falko; Tancredi, Lorenzo

    2018-05-01

    We introduce a class of iterated integrals, defined through a set of linearly independent integration kernels on elliptic curves. As a direct generalisation of multiple polylogarithms, we construct our set of integration kernels ensuring that they have at most simple poles, implying that the iterated integrals have at most logarithmic singularities. We study the properties of our iterated integrals and their relationship to the multiple elliptic polylogarithms from the mathematics literature. On the one hand, we find that our iterated integrals span essentially the same space of functions as the multiple elliptic polylogarithms. On the other, our formulation allows for a more direct use to solve a large variety of problems in high-energy physics. We demonstrate the use of our functions in the evaluation of the Laurent expansion of some hypergeometric functions for values of the indices close to half integers.

  13. New Formulae for the High-Order Derivatives of Some Jacobi Polynomials: An Application to Some High-Order Boundary Value Problems

    PubMed Central

    Abd-Elhameed, W. M.

    2014-01-01

    This paper is concerned with deriving some new formulae expressing explicitly the high-order derivatives of Jacobi polynomials whose parameters difference is one or two of any degree and of any order in terms of their corresponding Jacobi polynomials. The derivatives formulae for Chebyshev polynomials of third and fourth kinds of any degree and of any order in terms of their corresponding Chebyshev polynomials are deduced as special cases. Some new reduction formulae for summing some terminating hypergeometric functions of unit argument are also deduced. As an application, and with the aid of the new introduced derivatives formulae, an algorithm for solving special sixth-order boundary value problems are implemented with the aid of applying Galerkin method. A numerical example is presented hoping to ascertain the validity and the applicability of the proposed algorithms. PMID:25386599

  14. Variational Dirac-Hartree-Fock calculation of the Breit interaction

    NASA Astrophysics Data System (ADS)

    Goldman, S. P.

    1988-04-01

    The calculation of the retarded version of the Breit interaction in the context of the VDHF method is discussed. With the use of Slater-type basis functions, all the terms involved can be calculated in closed form. The results are expressed as an expansion in powers of one-electron energy differences and linear combinations of hypergeometric functions. Convergence is fast and high accuracy is obtained with a small number of terms in the expansion even for high values of the nuclear charge. An added advantage is that the lowest order cancellations occurring in the retardation terms are accounted for exactly a priori. A comparison of the number of terms in the total expansion needed for an accuracy of 12 significant digits in the total energy, as well as a comparison of the results with an without retardation and in the local potential approximation, are presented for the carbon isoelectronic sequence.

  15. Atomic Gaussian type orbitals and their Fourier transforms via the Rayleigh expansion

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    Yükçü, Niyazi

    Gaussian type orbitals (GTOs), which are one of the types of exponential type orbitals (ETOs), are used usually as basis functions in the multi-center atomic and molecular integrals to better understand physical and chemical properties of matter. In the Fourier transform method (FTM), basis functions have not simplicity to make mathematical operations, but their Fourier transforms are easier to use. In this work, with the help of FTM, Rayleigh expansion and some properties of unnormalized GTOs, we present new mathematical results for the Fourier transform of GTOs in terms of Laguerre polynomials, hypergeometric and Whittaker functions. Physical and analytical propertiesmore » of GTOs are discussed and some numerical results have been given in a table. Finally, we compare our mathematical results with the other known literature results by using a computer program and details of evaluation are presented.« less

  16. Linear dispersion properties of ring velocity distribution functions

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    Vandas, Marek, E-mail: marek.vandas@asu.cas.cz; Hellinger, Petr; Institute of Atmospheric Physics, AS CR, Bocni II/1401, CZ-14100 Prague

    2015-06-15

    Linear properties of ring velocity distribution functions are investigated. The dispersion tensor in a form similar to the case of a Maxwellian distribution function, but for a general distribution function separable in velocities, is presented. Analytical forms of the dispersion tensor are derived for two cases of ring velocity distribution functions: one obtained from physical arguments and one for the usual, ad hoc ring distribution. The analytical expressions involve generalized hypergeometric, Kampé de Fériet functions of two arguments. For a set of plasma parameters, the two ring distribution functions are compared. At the parallel propagation with respect to the ambientmore » magnetic field, the two ring distributions give the same results identical to the corresponding bi-Maxwellian distribution. At oblique propagation, the two ring distributions give similar results only for strong instabilities, whereas for weak growth rates their predictions are significantly different; the two ring distributions have different marginal stability conditions.« less

  17. Solution to urn models of pairwise interaction with application to social, physical, and biological sciences

    NASA Astrophysics Data System (ADS)

    Pickering, William; Lim, Chjan

    2017-07-01

    We investigate a family of urn models that correspond to one-dimensional random walks with quadratic transition probabilities that have highly diverse applications. Well-known instances of these two-urn models are the Ehrenfest model of molecular diffusion, the voter model of social influence, and the Moran model of population genetics. We also provide a generating function method for diagonalizing the corresponding transition matrix that is valid if and only if the underlying mean density satisfies a linear differential equation and express the eigenvector components as terms of ordinary hypergeometric functions. The nature of the models lead to a natural extension to interaction between agents in a general network topology. We analyze the dynamics on uncorrelated heterogeneous degree sequence networks and relate the convergence times to the moments of the degree sequences for various pairwise interaction mechanisms.

  18. Cosmological perturbation theory using the FFTLog: formalism and connection to QFT loop integrals

    NASA Astrophysics Data System (ADS)

    Simonović, Marko; Baldauf, Tobias; Zaldarriaga, Matias; Carrasco, John Joseph; Kollmeier, Juna A.

    2018-04-01

    We present a new method for calculating loops in cosmological perturbation theory. This method is based on approximating a ΛCDM-like cosmology as a finite sum of complex power-law universes. The decomposition is naturally achieved using an FFTLog algorithm. For power-law cosmologies, all loop integrals are formally equivalent to loop integrals of massless quantum field theory. These integrals have analytic solutions in terms of generalized hypergeometric functions. We provide explicit formulae for the one-loop and the two-loop power spectrum and the one-loop bispectrum. A chief advantage of our approach is that the difficult part of the calculation is cosmology independent, need be done only once, and can be recycled for any relevant predictions. Evaluation of standard loop diagrams then boils down to a simple matrix multiplication. We demonstrate the promise of this method for applications to higher multiplicity/loop correlation functions.

  19. A Multilevel Multiset Time-Series Model for Describing Complex Developmental Processes

    PubMed Central

    Ma, Xin; Shen, Jianping

    2017-01-01

    The authors sought to develop an analytical platform where multiple sets of time series can be examined simultaneously. This multivariate platform capable of testing interaction effects among multiple sets of time series can be very useful in empirical research. The authors demonstrated that the multilevel framework can readily accommodate this analytical capacity. Given their intention to use the multilevel multiset time-series model to pursue complicated research purposes, their resulting model is relatively simple to specify, to run, and to interpret. These advantages make the adoption of their model relatively effortless as long as researchers have the basic knowledge and skills in working with multilevel growth modeling. With multiple potential extensions of their model, the establishment of this analytical platform for analysis of multiple sets of time series can inspire researchers to pursue far more advanced research designs to address complex developmental processes in reality. PMID:29881094

  20. Forbidden patterns in financial time series

    NASA Astrophysics Data System (ADS)

    Zanin, Massimiliano

    2008-03-01

    The existence of forbidden patterns, i.e., certain missing sequences in a given time series, is a recently proposed instrument of potential application in the study of time series. Forbidden patterns are related to the permutation entropy, which has the basic properties of classic chaos indicators, such as Lyapunov exponent or Kolmogorov entropy, thus allowing to separate deterministic (usually chaotic) from random series; however, it requires fewer values of the series to be calculated, and it is suitable for using with small datasets. In this paper, the appearance of forbidden patterns is studied in different economical indicators such as stock indices (Dow Jones Industrial Average and Nasdaq Composite), NYSE stocks (IBM and Boeing), and others (ten year Bond interest rate), to find evidence of deterministic behavior in their evolutions. Moreover, the rate of appearance of the forbidden patterns is calculated, and some considerations about the underlying dynamics are suggested.

  1. Role of basic biological sciences in clinical orthodontics: a case series.

    PubMed

    Davidovitch, Ze'ev; Krishnan, Vinod

    2009-02-01

    Orthodontic therapy is based on interaction between mechanics and biology. Basic biologic research aims at developing a better understanding of the mechanism of transformation of mechanical energy into biologic reactions, and exposing the reasons for iatrogenic tissue damage in orthodontics. Previous research has shown that inflammation is a major part of the biologic response to orthodontic forces. In inflammation, signal molecules that originate in remote diseased organs can reach strained paradental tissues and exacerbate the inflammatory process, leading to tissue damage. Our case series includes 3 patients, each having had systemic diseases and malocclusion. One had diabetes mellitus, Hashimoto's thyroiditis, and depression. Concern about the possible effect of these conditions on the well-being of the teeth and their surrounding tissues compelled the orthodontist to choose not to treat this patient. The other 2 patients had allergies, and 1 also had bronchial asthma and bruises. Although these conditions are thought to be risk factors for root resorption, these patients received orthodontic treatment for 2 and 3.5 years, respectively. At the end of treatment, both had excessive root resorption of many teeth. In 1 patient, this damage led to the loss of most maxillary teeth. Basic research should continue to address questions related to the biologic mechanisms of tooth movement on tissue, cellular, and molecular levels. Moreover, this research should continue to identify risk factors that might jeopardize the longevity of treated teeth. Such basic research should promote the development of new tissue-friendly and patient-friendly therapeutic methods.

  2. 7. Mentor update and support: what do mentors need from an update?

    PubMed

    Phillips, Mari; Marshall, Joyce

    2015-04-01

    Mentorship is the 14th series of 'Midwifery basics' targeted at practising midwives. The aim of these articles is to provide information to raise awareness of the impact of the work of midwives on women's experience, and encourage midwives to seek further information through a series of activities relating to the topic. In this seventh article Mari Phillips and Joyce Marshall consider some of the key issues related to mentor update and support and consider what mentors need from their annual update.

  3. Heavy Quark Effective Theory

    NASA Astrophysics Data System (ADS)

    Manohar, A. V.

    2003-02-01

    These lecture notes present some of the basic ideas of heavy quark effective theory. The topics covered include the classification of states, the derivation of the HQET Lagrangian at tree level, hadron masses, meson form factors, Luke's theorem, reparameterization invariance and inclusive decays. Radiative corrections are discussed in some detail, including an explicit computation of a matching correction for HQET. Borel summability, renormalons, and their connection with the QCD perturbation series is covered, as well as the use of the upsilon expansion to improve the convergence of the perturbation series.

  4. APA Handbook of Industrial and Organizational Psychology. Three-Volume Set--Volume 1: Building and Developing the Organization. Volume 2: Selecting and Developing Members for the Organization. Volume 3: Maintaining, Expanding, and Contracting the Organization. APA Handbooks in Psychology Series. APA Reference Books Collection

    ERIC Educational Resources Information Center

    Zedeck, Sheldon, Ed.

    2011-01-01

    APA Books® announces the "APA Handbook of Industrial and Organizational Psychology"--the first offering in an new reference series covering core and emerging subdisciplines, the "APA Handbooks in Psychology." I/O Psychology is both a science/practice and an applied/basic research discipline. Appropriately, the "APA…

  5. Deferred discrimination algorithm (nibbling) for target filter management

    NASA Astrophysics Data System (ADS)

    Caulfield, H. John; Johnson, John L.

    1999-07-01

    A new method of classifying objects is presented. Rather than trying to form the classifier in one step or in one training algorithm, it is done in a series of small steps, or nibbles. This leads to an efficient and versatile system that is trained in series with single one-shot examples but applied in parallel, is implemented with single layer perceptrons, yet maintains its fully sequential hierarchical structure. Based on the nibbling algorithm, a basic new method of target reference filter management is described.

  6. Fast Fourier Tranformation Algorithms: Experiments with Microcomputers.

    DTIC Science & Technology

    1986-07-01

    is, functions a with a known, discrete Fourier transform A Such functions are given fn [I]. The functions, TF1 , TF2, and TF3, were used and are...the IBM PC, all with TF1 (Eq. 1). ’The compilers provided options to improve performance, as noted, for which a penalty in compiling time has to be...BASIC only. Series I In this series the procedures were as follows: (i) Calculate the input values for TF1 of ar and the modulus Iar (which is

  7. Approaches in highly parameterized inversion: TSPROC, a general time-series processor to assist in model calibration and result summarization

    USGS Publications Warehouse

    Westenbroek, Stephen M.; Doherty, John; Walker, John F.; Kelson, Victor A.; Hunt, Randall J.; Cera, Timothy B.

    2012-01-01

    The TSPROC (Time Series PROCessor) computer software uses a simple scripting language to process and analyze time series. It was developed primarily to assist in the calibration of environmental models. The software is designed to perform calculations on time-series data commonly associated with surface-water models, including calculation of flow volumes, transformation by means of basic arithmetic operations, and generation of seasonal and annual statistics and hydrologic indices. TSPROC can also be used to generate some of the key input files required to perform parameter optimization by means of the PEST (Parameter ESTimation) computer software. Through the use of TSPROC, the objective function for use in the model-calibration process can be focused on specific components of a hydrograph.

  8. Gas-Phase Oxidation of Neutral Basic Residues in Polypeptide Cations by Periodate

    NASA Astrophysics Data System (ADS)

    Pilo, Alice L.; Bu, Jiexun; McLuckey, Scott A.

    2016-12-01

    The gas-phase oxidation of doubly protonated peptides containing neutral basic residues to various products, including [M + H + O]+, [M - H]+, and [M - H - NH3]+, is demonstrated here via ion/ion reactions with periodate. It was previously demonstrated that periodate anions are capable of oxidizing disulfide bonds and methionine, tryptophan, and S-alkyl cysteine residues. However, in the absence of these easily oxidized sites, we show here that systems containing neutral basic residues can undergo oxidation. Furthermore, we show that these neutral basic residues primarily undergo different types of oxidation (e.g., hydrogen abstraction) reactions than those observed previously (i.e., oxygen transfer to yield the [M + H + O]+ species) upon gas-phase ion/ion reactions with periodate anions. This chemistry is illustrated with a variety of systems, including a series of model peptides, a cell-penetrating peptide containing a large number of unprotonated basic sites, and ubiquitin, a roughly 8.6 kDa protein.

  9. Optical basicity and polarizability for copper-zinc doped sol-gel glasses

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    Kaur, G., E-mail: gkapds@gmail.com; Pandey, O. P.; Amjotkaur,, E-mail: amjotkaur93@gmail.com

    2016-05-06

    CaO-SiO{sub 2}-B{sub 2}O{sub 3}-P{sub 2}O{sub 5} glasses have been studied by varying ratios of Copper oxide and Zinc oxide. Glasses were prepared using Sol-Gel technique. Opitical Basicity and oxide ion Polarizability were calculated and discussed in relation with non bridging Oxygen ions (NBOs). Optical basicity is average electron donating capability of an oxide atom. All glasses had a little difference in optical basicity and polarizability values but CZ8 glass (20CaO-60SiO{sub 2}-5B{sub 2}O{sub 3}-5P{sub 2}O{sub 5}-2CuO-8ZnO) came out to show highest optical basicity and polarizability with value 0.5177 and 0.9798 respectively. This showed the highest electron donating tendency of CZ8 glassmore » and highest number of NBOs. These were minimum for CZ2 glass with 8CuO and 2ZnO. In aspect of optical basicity and polarizability glasses follow the series CZ2 < CZ4 < CZ6 < CZ8. Increasing concentration of ZnO and decreasing concentration of CuO lead to higher optical basicity and oxide ion polarizability.« less

  10. Using highways during evacuation operations for events with advance notice

    DOT National Transportation Integrated Search

    2006-12-01

    This document constitutes the first of a primer series titled 'Routes to Effective Evacuation planning' and covers the use of the highway system during evacuation operations when advance planning is possible [...] This is a basic-level guide on condu...

  11. BioVapor Model Evaluation (St. Louis, MO)

    EPA Science Inventory

    The BioVapor model addresses transport and biodegradation of petroleum vapors in the subsurface. This presentation describes basic background on the nature and scientific basis of environmental transport models. It then describes a series of parameter uncertainty runs of the Bi...

  12. DEVELOPMENTAL EFFECTS OF DIETARY SOY PHYTOESTROGENS

    EPA Science Inventory

    The purpose of the project is to conduct a series of experiments to determine whether developmental exposure to dietary phytochemicals that have estrogenic activity will affect central nervous system and reproductive system functions later in life. The basic design is, in additio...

  13. A method for estimating fall adult sex ratios from production and survival data

    USGS Publications Warehouse

    Wight, H.M.; Heath, R.G.; Geis, A.D.

    1965-01-01

    This paper presents a method of utilizing data relating to the production and survival of a bird population to estimate a basic fall adult sex ratio. This basic adult sex ratio is an average value derived from average production and survival rates. It is an estimate of the average sex ratio about which the fall adult ratios will fluctuate according to annual variations in production and survival. The basic fall adult sex ratio has been calculated as an asymptotic value which is the limit of an infinite series wherein average population characteristics are used as constants. Graphs are provided that allow the determination of basic sex ratios from production and survival data of a population. Where the respective asymptote has been determined, it may be possible to estimate various production and survival rates by use of variations of the formula for estimating the asymptote.

  14. Theory of the decision/problem state

    NASA Technical Reports Server (NTRS)

    Dieterly, D. L.

    1980-01-01

    A theory of the decision-problem state was introduced and elaborated. Starting with the basic model of a decision-problem condition, an attempt was made to explain how a major decision-problem may consist of subsets of decision-problem conditions composing different condition sequences. In addition, the basic classical decision-tree model was modified to allow for the introduction of a series of characteristics that may be encountered in an analysis of a decision-problem state. The resulting hierarchical model reflects the unique attributes of the decision-problem state. The basic model of a decision-problem condition was used as a base to evolve a more complex model that is more representative of the decision-problem state and may be used to initiate research on decision-problem states.

  15. AGARD Flight Test Instrumentation Series. Volume 1, Issue 2. Basic Principles of Flight Test Instrumentation Engineering (Introduction Generale aux Principles de Base de l’Instrumentation des Essais en Vol)

    DTIC Science & Technology

    1994-03-01

    evaluation of its anticipated value. If the program can be accomplished using conventional techniques , this should be seriously considered. Development or...the direct frequency generating principles such as, pulse tachos, turbine flowmeters, and encoders, also Doppler and laser techniques used for...CERAMIC BLOCK Figure 5.3. The basic concepts of the laser ring gyro (LRG). The principle depends upon the guidance of two beams of laser light around an

  16. [Summary of development in scientific researches of traditional Chinese medicine in twenty years（1996-2015）].

    PubMed

    2016-11-01

    The modernization strategy of traditional Chinese medicine (TCM) has been implemented for 20 years. A great deal of basic and innovative researches have been done on basic theory of TCM, effective substance, efficacy evaluation, action mechanism, intracorporal metabolic process, safety evaluation, clinical evaluation and quality standards. As a result, a series of remarkable achievements in scientific research have been generated and promoted the interpretation of the connotation of TCM, supported the industry development of TCM and accelerated internationalization of TCM. Copyright© by the Chinese Pharmaceutical Association.

  17. Calculation of multicenter electric field gradient integrals over Slater-type orbitals using unsymmetrical one-range addition theorems.

    PubMed

    Guseinov, Israfil I; Görgün, Nurşen Seçkin

    2011-06-01

    The electric field induced within a molecule by its electrons determines a whole series of important physical properties of the molecule. In particular, the values of the gradient of this field at the nuclei determine the interaction of their quadrupole moments with the electrons. Using unsymmetrical one-range addition theorems introduced by one of the authors, the sets of series expansion relations for multicenter electric field gradient integrals over Slater-type orbitals in terms of multicenter charge density expansion coefficients and two-center basic integrals are presented. The convergence of the series is tested by calculating concrete cases for different values of quantum numbers, parameters and locations of orbitals.

  18. The design, synthesis and structure-activity relationships associated with C28 amine-based betulinic acid derivatives as inhibitors of HIV-1 maturation.

    PubMed

    Chen, Yan; Sit, Sing-Yuen; Chen, Jie; Swidorski, Jacob J; Liu, Zheng; Sin, Ny; Venables, Brian L; Parker, Dawn D; Nowicka-Sans, Beata; Lin, Zeyu; Li, Zhufang; Terry, Brian J; Protack, Tricia; Rahematpura, Sandhya; Hanumegowda, Umesh; Jenkins, Susan; Krystal, Mark; Dicker, Ira D; Meanwell, Nicholas A; Regueiro-Ren, Alicia

    2018-05-15

    The design and synthesis of a series of C28 amine-based betulinic acid derivatives as HIV-1 maturation inhibitors is described. This series represents a continuation of efforts following on from previous studies of C-3 benzoic acid-substituted betulinic acid derivatives as HIV-1 maturation inhibitors (MIs) that were explored in the context of C-28 amide substituents. Compared to the C-28 amide series, the C-28 amine derivatives exhibited further improvements in HIV-1 inhibitory activity toward polymorphisms in the Gag polyprotein as well as improved activity in the presence of human serum. However, plasma exposure of basic amines following oral administration to rats was generally low, leading to a focus on moderating the basicity of the amine moiety distal from the triterpene core. The thiomorpholine dioxide (TMD) 20 emerged from this study as a compound with the optimal antiviral activity and an acceptable pharmacokinetic profile in the C-28 amine series. Compared to the C-28 amide 3, 20 offers a 2- to 4-fold improvement in potency towards the screening viruses, exhibits low shifts in the EC 50 values toward the V370A and ΔV370 viruses in the presence of human serum or human serum albumin, and demonstrates improved potency towards the polymorphic T371A and V362I virus variants. Copyright © 2018 Elsevier Ltd. All rights reserved.

  19. Patch test results with fragrance markers of the baseline series - analysis of the European Surveillance System on Contact Allergies (ESSCA) network 2009-2012.

    PubMed

    Frosch, Peter J; Duus Johansen, Jeanne; Schuttelaar, Marie-Louise A; Silvestre, Juan F; Sánchez-Pérez, Javier; Weisshaar, Elke; Uter, Wolfgang

    2015-09-01

    Contact allergy to fragrances is common, and impairs quality of life, particularly in young women. To provide current results on the prevalences of sensitization to fragrance allergens used as markers in the baseline series of most European countries. Data of patients consecutively patch tested between 2009 and 2012 in 12 European countries with fragrance allergens contained in the baseline series were collected by the European Surveillance System on Contact Allergies network and descriptively analysed. Four departments used the TRUE Test(®) system. The 'basic markers' were tested on 51 477 [fragrance mix II (FM II)] to 57 123 [Myroxylon pereirae, balsam of Peru] patients, and yielded positive reactions as follows: fragrance mix I 6.9%, Myroxylon pereirae 5.4%, FM II 3.8%, colophonium 2.6%, and hydroxyisohexyl 3-cyclohexene carboxaldehyde 1.7%, with some regional differences. Prevalences with TRUE Test(®) allergens were lower. Additional fragrances were tested on 3643 (trimethylbenzenepropanol) to 14 071 (oil of turpentine) patients, and yielded between 2.6% (Cananga odorata) and 0.7% (trimethylbenzenepropanol) positive reactions. Contact allergy to fragrances is common throughout Europe, with regional variation probably being explained by patch test technique, and differences in exposure and referral patterns. The current basic markers of fragrance sensitivity in the baseline series should be supplemented with additional fragrance allergens. © 2015 John Wiley & Sons A/S. Published by John Wiley & Sons Ltd.

  20. Software Reviews.

    ERIC Educational Resources Information Center

    McGrath, Diane, Ed.

    1989-01-01

    Provides reviews of courseware entitled: "Mystery Matter," which is a series that supplements the basic inquiry process; "Jumping Math Flash," which is an arcade-game program with arithmetic problems; and "Quest for Files: Science Rocks and Minerals The Upper Crust," which is a database program for earth science.…

  1. Country Education Profiles: Algeria.

    ERIC Educational Resources Information Center

    International Bureau of Education, Geneva (Switzerland).

    One of a series of profiles prepared by the Cooperative Educational Abstracting Service, this brief outline provides basic background information on educational principles, system of administration, structure and organization, curricula, and teacher training in Algeria. Statistics provided by the Unesco Office of Statistics show enrollment at all…

  2. Selected facial measurements of children for oxygen-mask design.

    DOT National Transportation Integrated Search

    1966-04-01

    Requirements for design of oxygen masks and other equipment for effective protection of children in high-altitude flight necessitate a new facial-measurement series. A program to meet this demand was initiated to : 1.select a basic set of standard me...

  3. Practitioner Research Briefs, 1998-1999 Report Series.

    ERIC Educational Resources Information Center

    Virginia Adult Educators Research Network, Dayton.

    The collection of articles addresses current issues in adult and adult basic education in Virginia communities. Titles include: "Goal-Setting in the New River Valley: Teachers' Perceptions and Strategies" (Sue Barton); "What Happens When ESL Students Experience Authentic Work Situations?" (Pat Bowyer); "Orientation to…

  4. Evaluating School Violence Programs. Urban Diversity Series.

    ERIC Educational Resources Information Center

    Flaxman, Erwin, Ed.

    The essays in this collection review information, resources, and guidelines on the basic principles of internal evaluations of school violence programs. This information can help staff with program definition, planning, implementation, continuous improvement, and measurement of outcomes. "Introduction" (Erwin Flaxman) examines types of…

  5. Basic Wiring.

    ERIC Educational Resources Information Center

    Kaltwasser, Stan; And Others

    This module is the first in a series of three wiring publications; it serves as the foundation for students enrolled in a wiring program. It is a prerequisite to either "Residential Wiring" or "Commercial and Industrial Wiring." The module contains 16 instructional units that cover the following topics: occupational…

  6. Life Cycle Impact Assessment (videotape)

    EPA Science Inventory

    Originally developed for the US EPA Regions, this presentation is available to the general public via the internet. The presentation focuses on the basics of Life Cycle Impact Assessment (LCIA) including the ISO 14040 series framework and a quick overview of each of the steps wi...

  7. Overview of Emerging Air Quality Monitoring Technologies and Their Data

    EPA Science Inventory

    This is a webinar presentation as part of a series on Air Quality Planning for Wildland Smoke. The purpose of the talk is to provide a basic overview of monitoring technologies and specifically focus on emerging technologies for PM2.5.

  8. Additive free preparative chiral SFC separations of 2,2-dimethyl-3-aryl-propanoic acids.

    PubMed

    Wu, Dauh-Rurng; Yip, Shiuhang Henry; Li, Peng; Sun, Dawn; Kempson, James; Mathur, Arvind

    2016-11-30

    A series of racemic 2,2-dimethyl-3-aryl-propanoic acids were resolved by chiral supercritical fluid chromatography (SFC) without the use of an acidic additive, trifluoroacetic acid (TFA). The use of additive-free protic methanol as co-solvent in CO 2 was expanded to successfully resolve other series of carboxylic acid containing racemates. Large-scale SFC of racemic acid 4, 3-(1-(4-fluorophenyl)-1H-indazol-5-yl)-2,2-dimethyl-3-phenylpropanoic acid, in methanol without TFA as additive on both Chiralpak AD-H and Chiralcel OJ-H will be discussed, along with impact on throughput and solvent consumption. Investigation of co-solvent effect on peak sharpening of acid racemate 20, 2-(2-chloro-9-fluoro-5H-chromeno[2,3-b]pyridin-5-yl)-2-methylpropanoic acid, without TFA further indicated that methanol in CO 2 provided improved peak shape compared with isopropanol (IPA) and acetonitrile. Finally, we discuss the resolution of basic aromatic chiral amines without the addition of basic additives such as diethylamine (DEA) and application of this protocol for the large-scale SFC separation of weakly basic indazole-containing racemate 14, methyl 3-(1H-indazol-5-yl)-2,2-dimethyl-3-phenylpropanoate, in methanol without DEA. Copyright © 2016 Elsevier B.V. All rights reserved.

  9. Water resources data for New Mexico, water year 1965; Part 1. Surface water records

    USGS Publications Warehouse

    ,

    1966-01-01

    The surface-water records for the 1965 water year for gaging stations, partial-record stations, and miscellaneous sites within the State of New Mexico are given in this report. For convenience there are also Included records for a few pertinent gaging stations in bordering States. The records were collected and computed by the Water Resources Division of the U.S. Geological Survey, under the direction of W. E. Hale, District Chief, Water Resources Division. This report is the fifth In a series presenting, annually, basic data on surface-water records by States. Through September 30, 1960, the records of discharge and stage of streams and contents and stage of lakes or reservoirs were published in an annual series of U. S. Geological Survey water-supply papers entitled Surface Water Supply of the United States. Since 1951 there have been 20 volumes in the series; each volume covered an area whose boundaries coincided with those of certain natural drainage areas. The records in New Mexico were contained in Parts 7, 8 and 9 of that series. Beginning with the 1961 water year, streamflow records and related data will be released by the Geological Survey in annual reports on a State-boundary basis. Distribution of these basic-data reports will be limited and primarily for local needs. The records later will be published in Geological Survey water-supply papers at 5~year intervals. These 5-year water-supply papers will show daily discharge and will be compi led On the same geographical areas previously used for the annual series; however, some of the 14 parts of conterminous United States will be further subdivided.

  10. Water resources data for New Mexico, water year 1964; Part I. Surface water records

    USGS Publications Warehouse

    ,

    1965-01-01

    The surface-water records for the 1964 water year for gaging stations, partialrecord stations, and miscellaneous sites within the State of New Mexico are given in this report. For convenience there are also included records for a few pertinent gaging stations in bordering States. The records were collected and computed by the Water Resources Division of the U. S. Geological Survey, under the direction of W. L. Heckler, district engineer, Surface Water Branch. This report is the fourth in a series presenting, annually, basic data on surfacewater records by States. Through September 30, 1960, the records of discharge and stage of streams and contents and stage of lakes or reservoirs were published in an annual series of U. S. Geological Survey water-supply papers entitled "Surface Water Supply of the United States." Since 1951 there have been 20 volumes in the series; each volume covered an area whose boundaries coincided with those of certain natural drainage areas. The records in New Mexico were contained in Parts 7, 8, and 9 of that series. Beginning with the 1961 water year, streamflow records and related data will be released by the Geological Survey in annual reports on a State-boundary basis. Distribution of these basic-data reports will be limited and primarily for local needs. The records later will be published in Geological Survey water-supply papers at 5-year intervals. These 5-year water-supply papers will show daily discharge and will be compiled on the same geographical areas previously used for the annual series; however, some of the 14 parts of conterminous United States will be further subdivided.

  11. Water resources data for New Mexico, water year 1968; Part 1. Surface water records

    USGS Publications Warehouse

    ,

    1969-01-01

    The surface-water records for the 1968 water year for gaging stations, partial record stations, and miscellaneous sites within the State of New Mexico are given in this report. For convenience there are also included records for a few pertinent gaging stations in bordering States. The records were collected and computed by the Water Resources Division of the U. S. Geological Survey, under the direction of W. E. Hale, District Chief, Water Resources Division. This report is the eighth in a series presenting, annually, basic data on surfacewater records by States. Through September 30, 1960, "the records of discharge and stage of streams and contents and stage of lakes or reservoirs were published in an annual series of U. S. Geological Survey water-supply papers entitled "Surface Water Supply of the United States.!! Since 1951 there have been 20 volumes in the series; each volume covered an area whose boundaries coincided with those of certain natural drainage areas. The records in New Mexico were contained in Parts 7, 8, and 9 of that series. Beginning with the 1961 water year, streamflow records and related data have been released by the Geological Survey in annual reports on a State-boundary basis. Distribution of these basic-data reports is limited and primarily for local needs. The records will be published in Geological Survey water-supply papers at 5-year intervals. These 5-year water-supply papers will show daily discharge and will be compiled on the same geographical areas previously used for the annual series; however, some of the 14 parts of conterminous United States will be further subdivided.

  12. Aroma characterization based on aromatic series analysis in table grapes

    PubMed Central

    Wu, Yusen; Duan, Shuyan; Zhao, Liping; Gao, Zhen; Luo, Meng; Song, Shiren; Xu, Wenping; Zhang, Caixi; Ma, Chao; Wang, Shiping

    2016-01-01

    Aroma is an important part of quality in table grape, but the key aroma compounds and the aroma series of table grapes remains unknown. In this paper, we identified 67 aroma compounds in 20 table grape cultivars; 20 in pulp and 23 in skin were active compounds. C6 compounds were the basic background volatiles, but the aroma contents of pulp juice and skin depended mainly on the levels of esters and terpenes, respectively. Most obviously, ‘Kyoho’ grapevine series showed high contents of esters in pulp, while Muscat/floral cultivars showed abundant monoterpenes in skin. For the aroma series, table grapes were characterized mainly by herbaceous, floral, balsamic, sweet and fruity series. The simple and visualizable aroma profiles were established using aroma fingerprints based on the aromatic series. Hierarchical cluster analysis (HCA) and principal component analysis (PCA) showed that the aroma profiles of pulp juice, skin and whole berries could be classified into 5, 3, and 5 groups, respectively. Combined with sensory evaluation, we could conclude that fatty and balsamic series were the preferred aromatic series, and the contents of their contributors (β-ionone and octanal) may be useful as indicators for the improvement of breeding and cultivation measures for table grapes. PMID:27487935

  13. Adsorption of sulfur dioxide on ammonia-treated activated carbon fibers

    USGS Publications Warehouse

    Mangun, C.L.; DeBarr, J.A.; Economy, J.

    2001-01-01

    A series of activated carbon fibers (ACFs) and ammonia-treated ACFs prepared from phenolic fiber precursors have been studied to elucidate the role of pore size, pore volume, and pore surface chemistry on adsorption of sulfur dioxide and its catalytic conversion to sulfuric acid. As expected, the incorporation of basic functional groups into the ACFs was shown as an effective method for increasing adsorption of sulfur dioxide. The adsorption capacity for dry SO2 did not follow specific trends; however the adsorption energies calculated from the DR equation were found to increase linearly with nitrogen content for each series of ACFs. Much higher adsorption capacities were achieved for SO2 in the presence of oxygen and water due to its catalytic conversion to H2SO4. The dominant factor for increasing adsorption of SO2 from simulated flue gas for each series of fibers studied was the weight percent of basic nitrogen groups present. In addition, the adsorption energies calculated for dry SO2 were shown to be linearly related to the adsorption capacity of H2SO4 from this flue gas for all fibers. It was shown that optimization of this parameter along with the pore volume results in higher adsorption capacities for removal of SO2 from flue gases. ?? 2001 Elsevier Science Ltd. All rights reserved.

  14. 10 CFR 431.17 - Determination of efficiency.

    Code of Federal Regulations, 2011 CFR

    2011-01-01

    ... different horsepowers without duplication; (C) The basic models should be of different frame number series... be produced over a reasonable period of time (approximately 180 days), then each unit shall be tested... design may be substituted without requiring additional testing if the represented measures of energy...

  15. Va-Room: Motorcycle Safety.

    ERIC Educational Resources Information Center

    Keller, Rosanne

    One of a series of instructional materials produced by the Literacy Council of Alaska, this booklet provides information about motorcycle safety. Using a simplified vocabulary and shorter sentences, it offers statistics concerning motorcycle accidents; information on how to choose the proper machine; basic information about the operation of the…

  16. The X-Ray Optics for the High Angular Resolution Imager (HARI)

    NASA Technical Reports Server (NTRS)

    Weisskopf, M. C.

    2010-01-01

    This slide presentation shows the basic parameters of the x-ray optics, the housing,a graph of the effective area vs energy, another graph showing the angular off-set vs HEW, and a series of graphs showing the detector offsets and tilts,

  17. The Peroxidase-Glucose Oxidase Enzyme System in the Undergraduate Laboratory.

    ERIC Educational Resources Information Center

    Woolridge, Elisa; And Others

    1986-01-01

    Offers a series of experiments which introduce students to the general principles of enzymology. The experiment demonstrates several basic enzyme properties and the chromatographic exercises provide an analysis of each enzymatic activity. Questions are also presented for extending discussion on the activities. (ML)

  18. Women--Their Access to Education and Employment

    ERIC Educational Resources Information Center

    Literacy Discussion, 1975

    1975-01-01

    The Unesco National Commissions carried out a series of studies simultaneously in Argentina, the Ivory Coast, Lebanon, Sierra Leone, and Sri Lanka regarding the relationship between the educational opportunities and the opportunities of employment open to women. Basic conclusions of international scope are presented. (LH)

  19. Technical Mathematics: Restructure of Technical Mathematics.

    ERIC Educational Resources Information Center

    Flannery, Carol A.

    Designed to accompany a series of videotapes, this textbook provides information, examples, problems, and solutions relating to mathematics and its applications in technical fields. Chapter I deals with basic arithmetic, providing information on fractions, decimals, ratios, proportions, percentages, and order of operations. Chapter II focuses on…

  20. The Games of BIG BUSINESS.

    ERIC Educational Resources Information Center

    Nilson, Jeff

    1983-01-01

    "Big Business" is a series of computer simulations designed to give players a chance to compete in the practical world of business and finance. The basic elements of the simulations and versions designed for home use, middle school students, and high school students are described. (Author/JN)

  1. Experiential Exposure to the Pharmacy Profession as a Minority Recruitment Tool.

    ERIC Educational Resources Information Center

    Walker, Paul C.

    1988-01-01

    Student attitudes, perceptions, and achievement motivation were assessed before and after participation in a nine-month series of professional experiences, including community and hospital practice experience with minority pharmacists, basic science laboratory exposure and career development counseling. Experiential exposure significantly improved…

  2. Energy System Basics and Distribution Integration Video Series | Energy

    Science.gov Websites

    renewablesparticularly solar photovoltaic (PV) technologiesonto the distribution grid. Solar Energy Technologies PV Integration Case Studies Integrating Photovoltaic Systems onto Secondary Network Distribution Systems Standards and Codes for U.S. Photovoltaic System Installation Network-Optimal Control of Photovoltaics on

  3. Standards and Practices in Outdoor Activities.

    ERIC Educational Resources Information Center

    Robertson, Stuart, Ed.

    The guide provides a series of checklists and guidelines to assist Quebec outdoor education teachers and/or leaders and their principals in planning safe, enjoyable, educational experiences for elementary and secondary school students. The basic planning checklist itemizes specific tasks under eight categories: (1) preliminary discussion with…

  4. Medical Terminology.

    ERIC Educational Resources Information Center

    Mercer County Community Coll., Trenton, NJ.

    This document is one of a series of student workbooks developed for workplace skill development courses or workshops by Mercer County Community College (New Jersey) and its partners. Designed to help employees of medical establishments learn medical terminology, this course provides information on basic word structure, body parts, suffixes and…

  5. 77 FR 50112 - Submission for OMB Review; Comment Request

    Federal Register 2010, 2011, 2012, 2013, 2014

    2012-08-20

    ... the UPD helps to protect the integrity of ACF's award selection process. All ACF discretionary grant... instructions; the Standard Form 424 series, which requests basic information, budget information, and... Planning, Research and Evaluation, 370 L'Enfant Promenade SW., Washington, DC 20447, Attn: ACF Reports...

  6. Probing and exploiting the chaotic dynamics of a hydrodynamic photochemical oscillator to implement all the basic binary logic functions

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    Hayashi, Kenta; Department of Chemistry, Biology, and Biotechnology, University of Perugia, 06123 Perugia; Gotoda, Hiroshi

    2016-05-15

    The convective motions within a solution of a photochromic spiro-oxazine being irradiated by UV only on the bottom part of its volume, give rise to aperiodic spectrophotometric dynamics. In this paper, we study three nonlinear properties of the aperiodic time series: permutation entropy, short-term predictability and long-term unpredictability, and degree distribution of the visibility graph networks. After ascertaining the extracted chaotic features, we show how the aperiodic time series can be exploited to implement all the fundamental two-inputs binary logic functions (AND, OR, NAND, NOR, XOR, and XNOR) and some basic arithmetic operations (half-adder, full-adder, half-subtractor). This is possible duemore » to the wide range of states a nonlinear system accesses in the course of its evolution. Therefore, the solution of the convective photochemical oscillator results in hardware for chaos-computing alternative to conventional complementary metal-oxide semiconductor-based integrated circuits.« less

  7. Deformation Monitoring and Analysis of Lsp Landslide Based on Gbinsar

    NASA Astrophysics Data System (ADS)

    Zhou, L.; Guo, J.; Yang, F.

    2018-05-01

    Monitoring and analyzing the deformation of the river landslide in city to master the deformation law of landslide, which is an important means of landslide safety assessment. In this paper, aiming at the stability of the Liu Sha Peninsula Landslide during its strengthening process after the landslide disaster. Continuous and high precision deformation monitoring of the landslide was carried out by GBInSAR technique. Meanwhile, the two-dimensional deformation time series pictures of the landslide body were retrieved by the time series analysis method. The deformation monitoring and analysis results show that the reinforcement belt on the landslide body was basically stable and the deformation of most PS points on the reinforcement belt was within 1 mm. The deformation of most areas on the landslide body was basically within 4 mm, and the deformation presented obvious nonlinear changes. GBInSAR technique can quickly and effectively obtain the entire deformation information of the river landslide and the evolution process of deformation.

  8. A Challenge for International Cooperation in Astronomy and Basic Space Science

    NASA Astrophysics Data System (ADS)

    Haubold, Hans

    In 1990, the United Nations in cooperation with the European Space Agency initiated the organization of a series of annual Workshops on Basic Space Science for the benefit of astronomers and space scientists in (i) Asia and the Pacific, (ii) Latin America and the Caribbean, (iii) Africa, (iv) Western Asia, and (v) Europe. This article provides an update on accomplishments of three cycles of these workshops and their follow-up projects held for the five regions in (i) India (1991), Sri Lanka (1995), (ii) Costa Rica and Colombia (1992), Honduras (1997), (iii) Nigeria (1993), (iv) Egypt (1994), Jordan (1999), and (v) Germany (1996), France (2000). The workshop series is being considered unique and a model for the world-wide development of astronomy and space science. It has been organized based on the notion that astronomy has deep roots in virtually every human culture, that it helps to understand humanity's place in the vast scale of the Universe, and that it increases the knowledge of humanity about its origins and evolution.

  9. Automatic Generation of Taylor Series in Pascal-SC: Basic Operations and Applications to Ordinary Differential Equations.

    DTIC Science & Technology

    1983-03-01

    facilities built into the language compiler itself can be used to generate _imanchAe-C-d, for the evaluatiomn la ’ fficients.) Examples of such languages...Dy mtt ss. I I I I I I I I I,ase.TC11) - 0 1 I =- M 3 (SM) By Mse rede a• I RA IQ BZ yrcrec Table 4.1. Resolution of Cases for e. Consider a series...von Gudenberg. Gesmte Arithmetik des PASCAL-SC Rechners: Benutzerhandbuch. Institute for Applied Mathematics, University of Karlsruhe, 1981. -33- 4

  10. Digital image processing: a primer for JVIR authors and readers: Part 3: Digital image editing.

    PubMed

    LaBerge, Jeanne M; Andriole, Katherine P

    2003-12-01

    This is the final installment of a three-part series on digital image processing intended to prepare authors for online submission of manuscripts. In the first two articles of the series, the fundamentals of digital image architecture were reviewed and methods of importing images to the computer desktop were described. In this article, techniques are presented for editing images in preparation for online submission. A step-by-step guide to basic editing with use of Adobe Photoshop is provided and the ethical implications of this activity are explored.

  11. Development of the general interpolants method for the CYBER 200 series of supercomputers

    NASA Technical Reports Server (NTRS)

    Stalnaker, J. F.; Robinson, M. A.; Spradley, L. W.; Kurzius, S. C.; Thoenes, J.

    1988-01-01

    The General Interpolants Method (GIM) is a 3-D, time-dependent, hybrid procedure for generating numerical analogs of the conservation laws. This study is directed toward the development and application of the GIM computer code for fluid dynamic research applications as implemented for the Cyber 200 series of supercomputers. An elliptic and quasi-parabolic version of the GIM code are discussed. Turbulence models, algebraic and differential equations, were added to the basic viscous code. An equilibrium reacting chemistry model and an implicit finite difference scheme are also included.

  12. Variables affecting the financial viability of your practice.

    PubMed

    Binderman, J

    2001-01-01

    Financial viability of physician practices depends upon multiple variables: capacity of the practice, the mix of managed care contracts, cost of care, make-up of patient population, patient visit rates, and utilization of alternate methods of patient interaction. This article presents an introduction to these ideas; the second in this series will expand on the groundwork with a case scenario for a typical family practice. The articles present basic financial information in a practical manner, utilizing a series of worksheets to determine how these various items affect the bottom line.

  13. Sensing, Control, and System Integration for Autonomous Vehicles: A Series of Challenges

    NASA Astrophysics Data System (ADS)

    Özgüner, Ümit; Redmill, Keith

    One of the important examples of mechatronic systems can be found in autonomous ground vehicles. Autonomous ground vehicles provide a series of challenges in sensing, control and system integration. In this paper we consider off-road autonomous vehicles, automated highway systems and urban autonomous driving and indicate the unifying aspects. We specifically consider our own experience during the last twelve years in various demonstrations and challenges in attempting to identify unifying themes. Such unifying themes can be observed in basic hierarchies, hybrid system control approaches and sensor fusion techniques.

  14. Basic needs, stress and the effects of tailored health communication in vulnerable populations.

    PubMed

    Cappelletti, Erika R; Kreuter, Matthew W; Boyum, Sonia; Thompson, Tess

    2015-08-01

    This study examined whether unmet basic needs (food, housing, personal and neighborhood safety, money for necessities) and perceived stress affect recall of and response to a tailored print intervention one month later. Participants (N = 372) were adults who had called 2-1-1 Missouri between June 2010 and June 2012. A series of path analyses using Mplus were conducted to explore the relationships among basic needs, perceived stress, number of health referrals received in a tailored intervention, recalling the intervention and contacting a health referral. Participants were mainly women (85%) and African-American (59%) with a mean age of 42.2 years (SD = 13.3; range 19-86); 41% had annual household income <$10 000. Unmet basic needs were positively associated with increased levels of perceived stress, which, in turn, were negatively associated with recalling the intervention and calling any of the health referrals provided. Tailored printed interventions may be less effective in populations with acute unmet basic needs. More broadly, the effectiveness of minimal contact behavioral interventions might be enhanced by simultaneous efforts to address unmet basic needs. © The Author 2015. Published by Oxford University Press. All rights reserved. For permissions, please email: journals.permissions@oup.com.

  15. Basic Data Series. Ohio Higher Education System. 1987 Edition.

    ERIC Educational Resources Information Center

    Ohio Board of Regents, Columbus.

    A biennial publication of data collections (historical, comparative, student, staffing, space, and financial) from Ohio's state-assisted colleges and universities is presented. Six sections provide information on the following: (1) historical data (student enrollment, U.S., Ohio public and private totals; student enrollment, Ohio public…

  16. Air Pollution Translations: A Bibliography with Abstracts - Volume 4.

    ERIC Educational Resources Information Center

    Environmental Protection Agency, Research Triangle Park, NC. Air Pollution Technical Information Center.

    This volume is the fourth in a series of compilations presenting abstracts and indexes of translations of technical air pollution literature. The entries are grouped into 12 subject categories: Emission Sources, Control Methods, Measurement Methods, Air Quality Measurements, Atmospheric Interaction, Basic Science and Technology, Effects--Human…

  17. Optimum Component Design in N-Stage Series Systems to Maximize the Reliability Under Budget Constraint

    DTIC Science & Technology

    2003-03-01

    27 2.8.5 Marginal Analysis Method...Figure 11 Improved Configuration of Figure 10; Increases Basic System Reliability..... 26 Figure 12 Example of marginal analysis ...View of Main Book of Software ............................................................... 51 Figure 20 The View of Data Worksheet

  18. Exploring Classroom Hydroponics. Growing Ideas.

    ERIC Educational Resources Information Center

    National Gardening Association, Burlington, VT.

    Growing Ideas, the National Gardening Association's series for elementary, middle, and junior high school educators, helps teachers engage students in using plants and gardens as contexts for developing a deeper, richer understanding of the world around them. This volume's focus is on hydroponics. It presents basic hydroponics information along…

  19. SYSTEM THEORY: INTER-UNIVERSITY ELECTRONICS SERIES, VOLUME VIII,

    DTIC Science & Technology

    The book contains contributions in the area of general system theory , linear systems, nonlinear systems, stochastic and learning systems by...nationally and internationally known experts. It presents the most basic and important areas of system theory for the use and familiarization of mathematically-oriented nonspecialists. (Author)

  20. The Legal Context of Education. Monograph Series 19.

    ERIC Educational Resources Information Center

    Zuker, Marvin A.

    Designed to provide basic information on the evolution and current (1987) status of laws pertaining to public school administration, this book examines laws, regulations, judicial opinions, and their impact on Canadian educational institutions. Discussion focuses on the tension between academic autonomy and individual rights as they affect…

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