Slobodan Babic; Frédéric Sirois; Cevdet Akyel; Guy Lemarquand; Valérie Lemarquand; Romain Ravaud
2011-01-01
This paper presents new analytic formulas for determining the mutual inductance and the axial magnetic force between two coaxial coils in air, namely a thick circular coil with rectangular cross-section and a thin wall solenoid. The mutual inductance and the magnetic force are expressed as complete elliptical integrals of the first and second kind, Heuman’s Lambda function and one well-behaved
Wall-crossing from supersymmetric galaxies
Evgeny Andriyash; Frederik Denef; Daniel L. Jafferis; Gregory W. Moore
2010-07-30
We give an elementary physical derivation of the Kontsevich-Soibelman wall crossing formula, valid for any theory with a 4d N=2 supergravity description. Our argument leads to a slight generalization of the formula, which relates monodromy to the BPS spectrum.
Percolation Crossing Formulas and Conformal Field Theory
Jacob J. H. Simmons; Peter Kleban; Robert M. Ziff
2007-06-03
Using conformal field theory, we derive several new crossing formulas at the two-dimensional percolation point. High-precision simulation confirms these results. Integrating them gives a unified derivation of Cardy's formula for the horizontal crossing probability $\\Pi_h(r)$, Watts' formula for the horizontal-vertical crossing probability $\\Pi_{hv}(r)$, and Cardy's formula for the expected number of clusters crossing horizontally $\\mathcal{N}_h(r)$. The main step in our approach implies the identification of the derivative of one primary operator with another. We present operator identities that support this idea and suggest the presence of additional symmetry in $c=0$ conformal field theories.
Crystal Melting and Wall Crossing Phenomena
NASA Astrophysics Data System (ADS)
Yamazaki, Masahito
2010-02-01
This paper summarizes recent developments in the theory of Bogomol'nyi-Prasad-Sommerfield (BPS) state counting and the wall crossing phenomena, emphasizing in particular the role of the statistical mechanical model of crystal melting. This paper is divided into two parts, which are closely related to each other. In the first part, we discuss the statistical mechanical model of crystal melting counting BPS states. Each of the BPS state contributing to the BPS index is in one-to-one correspondence with a configuration of a molten crystal, and the statistical partition function of the melting crystal gives the BPS partition function. We also show that smooth geometry of the Calabi-Yau manifold emerges in the thermodynamic limit of the crystal. This suggests a remarkable interpretation that an atom in the crystal is a discretization of the classical geometry, giving an important clue as to the geometry at the Planck scale.In the second part we discuss the wall crossing phenomena. Wall crossing phenomena states that the BPS index depends on the value of the moduli of the Calabi-Yau manifold, and jumps along real codimension one subspaces in the moduli space. We show that by using type IIA/M-theory duality, we can provide a simple and an intuitive derivation of the wall crossing phenomena, furthermore clarifying the connection with the topological string theory. This derivation is consistent with another derivation from the wall crossing formula, motivated by multi-centered BPS extremal black holes. We also explain the representation of the wall crossing phenomena in terms of crystal melting, and the generalization of the counting problem and the wall crossing to the open BPS invariants.
Instanton correction, wall crossing and mirror symmetry of Hitchin's moduli spaces
Lu, Wenxuan
2011-01-01
We study two instanton correction problems of Hitchin's moduli spaces along with their wall crossing formulas. The hyperkahler metric of a Hitchin's moduli space can be put into an instanton-corrected form according to ...
Affine SU( N) algebra from wall-crossings
NASA Astrophysics Data System (ADS)
Nishinaka, Takahiro; Yamaguchi, Satoshi
2014-07-01
We study the relation between the instanton counting on ALE spaces and the BPS state counting on a toric Calabi-Yau three-fold. We put a single D4-brane on a divisor isomorphic to A N -1-ALE space in the Calabi-Yau three-fold, and evaluate the discrete changes of BPS partition function of D4-D2-D0 states in the wall-crossing phenomena. In particular, we find that the character of affine SU( N) algebra naturally arises in wall-crossings of D4-D2-D0 states. Our analysis is completely based on the wall-crossing formula for the d = 4, = 2 supersymmetric theory obtained by dimensionally reducing the Calabi-Yau three-fold.
BPS spectrum, wall crossing and quantum dilogarithm identity
Dan Xie
2012-11-29
BPS spectrum with finite number of states are found for higher rank four dimensional N=2 theory engineered from six dimensional A_{N-1} (2,0) theory on a Riemann surface with various kinds of defects. The wall crossing formula is interpreted as the quantum dilogarithm identity. Various methods including quiver representation theory, maximal green mutation, and cluster algebra are used extensively. The spectral generator and its refined version for the higher rank theory are written down using the explicit spectrum information. The finite chamber has an interesting N^3 behavior in the large N limit.
8. VIEW OF CROSS SECTION OF THE EASTERNMOST WALL SEGMENT ...
8. VIEW OF CROSS SECTION OF THE EASTERNMOST WALL SEGMENT THAT SHOWS THE TRENCHING AND 1960 PIPELINE CORRIDOR BETWEEN THE WALL SEGMENTS, LOOKING WEST-NORTHWEST - Rock Wall, North side of Battle Creek Canyon, Shingletown, Shasta County, CA
Fitting Formulae for Cross Sections of Tidal Capture Binary Formation
Sungsoo S. Kim; Hyung Mok Lee
1999-05-11
Tidal captures can produce objects that are observationally and dynamically important in dense stellar systems. Recent discoveries of compact young clusters in and out of the Galaxy have prompted the studies of dynamics of star clusters with a large range in stellar masses. The tidal interactions between high and low mass stars are found to be rather frequent in such clusters. In this Research Note, we present fitting formulae for the cross sections of tidal capture binary formation between two stars with a large mass ratio. We present the cases between two main-sequence stars, and between a degenerate star and a main-sequence star.
Designing Precast Concrete Cross Wall Joints Against Progressive Collapse
Birmingham, University of
Designing Precast Concrete Cross Wall Joints Against Progressive Collapse Researcher: Mohamad concrete cross wall constructions. Ronan Point Collapse (http://en.wikipedia.org/wiki/Ronan_Point) #12;Due gap is listed as follows: Â· Limited number of studies for designing precast concrete cross wall
US Army Corps of Engineers
Cross-shore distribution of longshore sediment transport: comparison between predictive formulas; accepted 18 July 2001 Abstract The skill of six well-known formulas developed for calculating the longshore sediment transport rate was evaluated in the present study. Formulas proposed by Bijker [Bijker, E.W., 1967
Wall-crossing, Rogers dilogarithm, and the QK/HK correspondence
Sergei Alexandrov; Daniel Persson; Boris Pioline
2015-03-27
When formulated in twistor space, the D-instanton corrected hypermultiplet moduli space in N=2 string vacua and the Coulomb branch of rigid N=2 gauge theories on $R^3 \\times S^1$ are strikingly similar and, to a large extent, dictated by consistency with wall-crossing. We elucidate this similarity by showing that these two spaces are related under a general duality between, on one hand, quaternion-Kahler manifolds with a quaternionic isometry and, on the other hand, hyperkahler manifolds with a rotational isometry, further equipped with a hyperholomorphic circle bundle with a connection. We show that the transition functions of the hyperholomorphic circle bundle relevant for the hypermultiplet moduli space are given by the Rogers dilogarithm function, and that consistency across walls of marginal stability is ensured by the motivic wall-crossing formula of Kontsevich and Soibelman. We illustrate the construction on some simple examples of wall-crossing related to cluster algebras for rank 2 Dynkin quivers. In an appendix we also provide a detailed discussion on the general relation between wall-crossing and the theory of cluster algebras.
Cross Section; Half Longitudinal Section Showing Middle Wall Reinforced with ...
Cross Section; Half Longitudinal Section Showing Middle Wall Reinforced with Arch; Part Long Section Showing Inside of External Side Wall; East Entrance; Part Side South External; Part Reflected Plan of Soffite of Floor; Part Reflected Plan of Soffite of Roof - Blenheim Covered Bridge, Spanning Schoharie River, North Blenheim, Schoharie County, NY
8. DETAIL OF WEST WALL, FLOOR FULLY EXCAVATED, CROSS MEMBER ...
8. DETAIL OF WEST WALL, FLOOR FULLY EXCAVATED, CROSS MEMBER (Original Fabric) - Bald Eagle Cross-Cut Canal Lock, North of Water Street along West Branch of Susquehanna River South bank, 500 feet East of Jay Street Bridge, Lock Haven, Clinton County, PA
A semi-empirical formula for total cross sections of electron scattering from diatomic molecules
Yufang Liu; Jinfeng Sun
1996-01-01
A fitting formula based on the Born approximation is used to fit the total cross sections for electron scattering by diatomic molecules (CO, N2, NO, O2 and HCl) in the intermediate- and high-energy range. By analyzing the fitted parameters and the total cross sections, we found that the internuclear distance of the constituent atoms plays an important role in the
K-shell photoionization cross sections - Calculations and simple fitting formulae
I. M. Band; M. B. Trzhaskovskaia; D. A. Verner; D. G. Iakovlev
1990-01-01
Simple analytic formulas are proposed to fit the theoretical Hartree-Dirac-Slater K-shell photoionization cross sections of atoms and ions with atomic number of 26 or higher. It is shown that the criterion of Kamrukov et al. (1983) permits the description of many cross sections for a variety of atoms and ions. Fitting parameters are shown for the photoionization cross sections of
Menke, William
Waveform Fitting of Cross-Spectra to Determine Phase Velocity Using Aki's Formula William Menke the frequency-dependent phase velocity of ambient noise cross-spectra by waveform fitting of Aki's formula, cross-spectra, Aki's Method (this paper is not accompanied by an electronic supplement) (this paper
A Model (Formula) for Deriving A Hazard Index of Rail-Highway Grade Crossings.
ERIC Educational Resources Information Center
Coburn, James Minton
The purpose of this research was to compile data for use as related information in the education of drivers, and to derive a formula for computing a hazard index for rail-highway intersections. Data for the study were compiled from: (1) all crossings on which field data were collected, (2) reports of 642 accidents, and (3) data collected from…
Menke, William
1957-01-01
Waveform Fitting of Cross-Spectra to Determine Phase Velocity Using Aki's (1957) Formula William-averaged, normalized cross-spectrum: with angular frequency , inter-station distance and phase velocity . We have added the amplitude factor to allow for the possibility that an observed cross-spectrum may not be correctly
Menke, William
1957-01-01
Draft 1.1 Waveform Fitting of Cross-Spectra to Determine Phase Velocity Using Aki's (1957) Formula the frequency-dependent phase velocity of ambient noise cross-spectra by waveform fitting of Aki's (1957 especially attractive in cases where short array-deployment times limit the quality of cross
Cross-polarized absorption of single-walled carbon nanotubes by photoluminescence
Maruyama, Shigeo
Cross-polarized absorption of single-walled carbon nanotubes by photoluminescence excitation@photon.t.u-tokyo.ac.jp Photoluminescence excitation (PLE) spectroscopy of single-walled carbon nanotubes (SWNTs) have been ex- tensively
Maruyama, Shigeo
Photoluminescence from independently aligned single-walled carbon nanotubes by cross, photoluminescence (PL) of single-walled carbon nanotubes (SWNTs) has been intensively investigated by polarized photoluminescence excitation (PLE) spectroscopy of 2-dimentionally aligned individual nanotubes
Maruyama, Shigeo
Photoluminescence studies of cross-polarized absorption of single-walled carbon nanotubes Shigeo-8656, Japan Though our previous studies of photoluminescence (PL) of single-walled carbon nanotubes (SWNTs
NASA Astrophysics Data System (ADS)
Muñoz-Cobo, José; Corberán, José; Chiva, Sergio
2002-06-01
Natural convection heat transfer coefficients for vertical cylinders with variable surface temperature distribution must be found by complex numerical integration of the corresponding system of governing differential equations. Its evaluation for practical heat transfer calculations is always based on more or less complex correlations fitted to numerical or experimental results. This paper presents alternative approximate formulas for the calculation of the local Nusselt number and heat transfer coefficient and for laminar natural convection around vertical cylinders with power-law wall temperature distribution. These formulae have been derived from the integration of the energy and momentum equations, following the integral method and assuming some simplifying hypothesis, and then, finally fitted to numerical results in order to improve their accuracy. The formula obtained, with only two fitted coefficients, is able to predict the corresponding Nusselt number with a maximum error of 7% over a very wide range of Prandtl numbers (0.1-100) and curvatures, from slender vertical cylinders and needles to the flat plate case, and for the power-law exponents of practical interest.
Yu, Wenqi; Götz, Friedrich
2012-01-01
A fluorescence microscopy method to directly follow the localization of defined proteins in Staphylococcus was hampered by the unstable fluorescence of fluorescent proteins. Here, we constructed plasmid (pCX) encoded red fluorescence (RF) mCherry (mCh) hybrids, namely mCh-cyto (no signal peptide and no sorting sequence), mCh-sec (with signal peptide), and mCh-cw (with signal peptide and cell wall sorting sequence). The S. aureus clones targeted mCh-fusion proteins into the cytosol, the supernatant and the cell envelope respectively; in all cases mCherry exhibited bright fluorescence. In staphylococci two types of signal peptides (SP) can be distinguished: the +YSIRK motif SP(lip) and the -YSIRK motif SP(sasF). mCh-hybrids supplied with the +YSIRK motif SP(lip) were always expressed higher than those with -YSIRK motif SP(sasF). To study the location of the anchoring process and also the influence of SP type, mCh-cw was supplied on the one hand with +YSIRK motif (mCh-cw1) and the other hand with -YSIRK motif (mCh-cw2). MCh-cw1 preferentially localized at the cross wall, while mCh-cw2 preferentially localized at the peripheral wall. Interestingly, when treated with sub-lethal concentrations of penicillin or moenomycin, both mCh-cw1 and mCh-cw2 were concentrated at the cross wall. The shift from the peripheral wall to the cross wall required Sortase A (SrtA), as in the srtA mutant this effect was blunted. The effect is most likely due to antibiotic mediated increase of free anchoring sites (Lipid II) at the cross wall, the substrate of SrtA, leading to a preferential incorporation of anchored proteins at the cross wall. PMID:22253886
Wall-crossing of D4-branes using flow trees
Jan Manschot
2010-03-08
The moduli dependence of D4-branes on a Calabi-Yau manifold is studied using attractor flow trees, in the large volume limit of the Kahler cone. One of the moduli dependent existence criteria of flow trees is the positivity of the flow parameters along its edges. It is shown that the sign of the flow parameters can be determined iteratively as function of the initial moduli, without explicit calculation of the flow of the moduli in the tree. Using this result, an indefinite quadratic form, which appears in the expression for the D4-D2-D0 BPS mass in the large volume limit, is proven to be positive definite for flow trees with 3 or less endpoints. The contribution of these flow trees to the BPS partition function is therefore convergent. From non-primitive wall-crossing is deduced that the S-duality invariant partition function must be a generating function of rational, multi-covering invariants instead of integer invariants.
Wall Crossing of BPS States on the Conifold from Seiberg Duality and Pyramid Partitions
Wu-yen Chuang; Daniel L. Jafferis
2009-10-11
In this paper we study the relation between pyramid partitions with a general empty room configuration (ERC) and the BPS states of D-branes on the resolved conifold. We find that the generating function for pyramid partitions with a length n ERC is exactly the same as the D6/D2/D0 BPS partition function on the resolved conifold in particular Kaehler chambers. We define a new type of pyramid partition with a finite ERC that counts the BPS degeneracies in certain other chambers. The D6/D2/D0 partition functions in different chambers were obtained by applying the wall crossing formula. On the other hand, the pyramid partitions describe T^3 fixed points of the moduli space of a quiver quantum mechanics. This quiver arises after we apply Seiberg dualities to the D6/D2/D0 system on the conifold and choose a particular set of FI parameters. The arrow structure of the dual quiver is confirmed by computation of the Ext group between the sheaves. We show that the superpotential and the stability condition of the dual quiver with this choice of the FI parameters give rise to the rules specifying pyramid partitions with length n ERC.
Determinants of Murein Hydrolase Targeting to Cross-wall of Staphylococcus aureus Peptidoglycan*
Frankel, Matthew B.; Schneewind, Olaf
2012-01-01
Cells of eukaryotic or prokaryotic origin express proteins with LysM domains that associate with the cell wall envelope of bacteria. The molecular properties that enable LysM domains to interact with microbial cell walls are not yet established. Staphylococcus aureus, a spherical microbe, secretes two murein hydrolases with LysM domains, Sle1 and LytN. We show here that the LysM domains of Sle1 and LytN direct murein hydrolases to the staphylococcal envelope in the vicinity of the cross-wall, the mid-cell compartment for peptidoglycan synthesis. LysM domains associate with the repeating disaccharide ?-N-acetylmuramic acid, (1?4)-?-N-acetylglucosamine of staphylococcal peptidoglycan. Modification of N-acetylmuramic acid with wall teichoic acid, a ribitol-phosphate polymer tethered to murein linkage units, prevents the LysM domain from binding to peptidoglycan. The localization of LytN and Sle1 to the cross-wall is abolished in staphylococcal tagO mutants, which are defective for wall teichoic acid synthesis. We propose a model whereby the LysM domain ensures septal localization of LytN and Sle1 followed by processive cleavage of peptidoglycan, thereby exposing new LysM binding sites in the cross-wall and separating bacterial cells. PMID:22303016
Isodityrosine, a new cross-linking amino acid from plant cell-wall glycoprotein.
Fry, S C
1982-01-01
1. Cell-wall hydrolysates from calli of all higher plants tested contained a new phenolic amino acid for which the trivial name isodityrosine is proposed. Isodityrosine was shown to be an oxidatively coupled dimer of tyrosine with the two tyrosine units linked by a diphenyl ether bridge. 2. The amount of isodityrosine in sodium dodecyl sulphate-insoluble cell-wall preparations was proportional to the amount of hydroxyproline. 3. Acidified chlorite split the diphenyl ether bridge of isodityrosine, and concomitantly solubilized the cell-wall glycoprotein. 4. Dithiothreitol inhibited isodityrosine synthesis in vivo, and suppressed in parallel the covalent binding of newly synthesized protein in the cell wall. 5. It is suggested that isodityrosine is an inter-polypeptide cross-link responsible for the insolubility of plant cell-wall glycoprotein. Images Fig. 4. PMID:7115340
NASA Technical Reports Server (NTRS)
Yermilova, V. K.; Kotenko, L. P.; Merzon, G. I.; Chekin, V. A.
1975-01-01
Two types of formulas were obtained for (- dE/dx) and the number of collisions per unit of path length (dN/dx) = const, which depend on W sub m, with due account of the polarization effect of the medium.
Isodityrosine cross-linking mediates insolubilization of cell walls in Chlamydomonas.
Waffenschmidt, S; Woessner, J P; Beer, K; Goodenough, U W
1993-01-01
Enzymatic removal of the cell wall induces vegetative Chlamydomonas reinhardtii cells to transcribe wall genes and synthesize new hydroxyproline-rich glycoproteins (HRGPs) related to the extensins found in higher plant cell walls. A cDNA expression library made from such induced cells was screened with antibodies to an oligopeptide containing the (SP)x repetitive domains found in Chlamydomonas wall proteins. One of the selected cDNAs encodes an (SP)x-rich polypeptide that also displays a repeated YGG motif. Ascorbate, a peroxidase inhibitor, and tyrosine derivatives were shown to inhibit insolubilization of both the vegetative and zygotic cell walls of Chlamydomonas, suggesting that oxidative cross-linking of tyrosines is occurring. Moreover, insolubilization of both walls was concomitant with a burst in H2O2 production and in extracellular peroxidase activity. Finally, both isodityrosine and dityrosine were found in hydrolysates of the insolubilized vegetative wall layer. We propose that the formation of tyrosine cross-links is essential to Chlamydomonas HRGP insolubilization. PMID:7689882
A Low Cross-Polarization Smooth-Walled Horn with Improved Bandwidth
NASA Technical Reports Server (NTRS)
Zeng, Lingzhen; Bennette, Charles L.; Chuss, David T.; Wollack, Edward J.
2009-01-01
Corrugated feed horns offer excellent beam symmetry, main beam efficiency, and cross-polar response over wide bandwidths, but can be challenging to fabricate. An easier-to-manufacture smooth-walled feed is explored that approximates these properties over a finite bandwidth. The design, optimization and measurement of a monotonically-profiled, smooth-walled scalar feedhorn with a diffraction-limited approx. 14deg FWHM beam is presented. The feed was demonstrated to have low cross polarization (<-30 dB) across the frequency range 33-45 GHz (30% fractional bandwidth). A power reflection below -28 dB was measured across the band.
Analytical formulas for calculation of K X-ray production cross sections by alpha ions
NASA Astrophysics Data System (ADS)
Abdellatif, A.; Kahoul, A.; Deghfel, B.; Nekkab, M.; Medjadi, D. E.
2012-05-01
In the present study, different procedures are followed to deduce the semi-empirical and the empirical K X-rayX-ray production cross sections induced by alpha ions from the available experimental data and the theoretical results of the ECPSSR model for elements with 20?Z?30. The deduced K X-ray production cross sections are compared with predictions from ECPSSR model and with other earlier works. Generally, the deduced K X-ray production cross sections obtained by fitting the available experimental data for each element separately give the most reliable values than those obtained by a global fit.
Xianzhi ZengJ; Xintao Xia; Liming Sun; Yuan Chen; Suran Cai
2010-01-01
According to the special structure types and the operating requirements of long life, high stiffness, and low friction torque of thin walled bearing with crossed cylindrical rollers used for industrial robot, this paper summarized the design points of thin walled bearing with crossed cylindrical rollers from the aspects of the optimal design of main parameters, the design of structural parameters,
Current-induced domain wall motion in permalloy nanowires with a rectangular cross-section
Ai, J. H.; Miao, B. F.; Sun, L.; You, B.; Hu, An; Ding, H. F. [National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, 22 Hankou Rd., Nanjing 210093 (China)
2011-11-01
We performed micromagnetic simulations of the current-induced domain wall motion in permalloy nanowires with rectangular cross-section. In the absence of the nonadiabatic spin-transfer term, a threshold current, J{sub c} is required to drive the domain wall moving continuously. We find that J{sub c} is proportional to the maximum cross product of the demagnetization field and magnetization orientation of the domain wall and the domain wall width. With varying both the wire thickness and width, a minimum threshold current in the order of 10{sup 6} A/cm{sup 2} is obtained when the thickness is equivalent to the wire width. With the nonadiabatic spin-transfer term, the calculated domain wall velocity {nu} equals to the adiabatic spin transfer velocity u when the current is far above the Walker limit J{sub w}. Below J{sub w}, {nu}=({beta}/{alpha})u, where {beta} is the nonadiabatic parameter and {alpha} is the damping factor. For different {beta}, we find the Walker limit can be scaled as J{sub w}=({alpha}/{beta}-{alpha})J{sub c}. Our simulations agree well with the one dimensional analytical calculation, suggesting the findings are the general behaviors of the systems in this particular geometry.
Notes on wall crossing and instanton in compactified gauge theory with matter
Heng-Yu Chen; Kirill Petunin
2010-01-01
We study the quantum effects on the Coulomb branch of SU(2) super-symmetric Yang-Mills with fundamental matters compactified on , and extract the explicit perturbative and leading non-perturbative corrections to the moduli space metric predicted from\\u000a the recent work of Gaiotto, Moore and Neitzke on wall-crossing [1]. We verify the predicted metric by computing the leading\\u000a weak coupling instanton contribution to
José L. Muñoz-Cobo; José M. Corberán; Sergio Chiva
2003-01-01
Natural convection heat transfer coefficients for vertical cylinders with variable surface temperature distribution must be found by complex numerical integration of the corresponding system of governing differential equations. Its evaluation for practical heat transfer calculations is always based on more or less complex correlations fitted to numerical or experimental results. This paper presents alternative approximate formulas for the calculation of
Technology Transfer Automated Retrieval System (TEKTRAN)
BACKGROUND: We used a biomimetic model system to ascertain how reductions in ferulate-lignin cross-linking and shifts in lignin composition influence ruminal cell wall fermentation. Primary walls from maize cell suspensions with normal or reduced feruloylation were artificially lignified with variou...
Technology Transfer Automated Retrieval System (TEKTRAN)
We used a biomimetic model system to ascertain how lignification and diverse shifts in lignin cross-linking and composition influence cell wall fermentation. Primary cell walls from nonlignified maize cell suspensions were artificially lignified with varying ratios of normal monolignols (coniferyl a...
Multi-walled boron nitride nanotubes composed of diverse cross-section and helix type shells
NASA Astrophysics Data System (ADS)
Golberg, D.; Mitome, M.; Bando, Y.; Tang, C. C.; Zhi, C. Y.
2007-08-01
High-resolution transmission electron microscopy (HRTEM) and electron diffraction analysis were performed on pure multi-walled novel type boron nitride nanotubes (BNNTs) by using a field-emission high-resolution 300 kV transmission electron microscope JEM-3100FEF (Omega filter). In contrast to commonly observed monochiral multi-walled BNNTs, the present tubular shells within every individual BNNT (up to ˜50 shells) revealed the whole range of helixes, i.e., from zig-zag to arm-chair. This being paired with the wide variations in cross-sectional tubular shapes, i.e., from a faceted polygon to a cylinder, results in complex overall tubular structures. The BN atomic lattice fringe separations, down to 1.25 Å, on most symmetrical arm-chair (d10-10=1.25 Å) and zig-zag (d11-20=2.15 Å) tubular wall fragments within the same multi-walled BN nanotubes were ultimately achieved during HRTEM.
Perez-Rodriguez, Jose Luis; Robador, Maria Dolores; Centeno, Miguel Angel; Siguenza, Belinda; Duran, Adrian
2014-01-01
This work describes a comparative study between in situ applications of portable Raman spectroscopy and direct laboratory measurements using micro-Raman spectroscopy on the surface of small samples and of cross sections. The study was performed using wall paintings from different sites of the Alcazar of Seville. Little information was obtained using a portable Raman spectrometer due to the presence of an acrylic polymer, calcium oxalate, calcite and gypsum that was formed or deposited on the surface. The pigments responsible for different colours, except cinnabar, were not detected by the micro-Raman spectroscopy study of the surface of small samples taken from the wall paintings due to the presence of surface contaminants. The pigments and plaster were characterised using cross sections. The black colour consisted of carbon black. The red layers were formed by cinnabar and white lead or by iron oxides. The green and white colours were composed of green emerald or atacamite and calcite, respectively. Pb3O4 has also been characterised. The white layers (plaster) located under the colour layers consisted of calcite, quartz and feldspars. The fresco technique was used to create the wall paintings. A wall painting located on a gypsum layer was also studied. The Naples yellow in this wall painting was not characterised due to the presence of glue and oils. This study showed the advantage of studying cross sections to completely characterise the pigments and plaster in the studied wall paintings. PMID:24216251
IDENTIFYING GENES CONTROLLING FERULATE CROSS-LINKING FORMATION IN GRASS CELL WALLS
de O Buanafina, Marcia Maria
2013-10-16
DESCRIPTION/ABSTRACT This proposal focuses on cell wall feruloylation and our long term goal is to identify and isolate novel genes controlling feruloylation and to characterize the phenotype of mutants in this pathway, with a spotlight on cell wall properties. Currently, the genes underlying AX feruloylation have not been identified and the isolation of such genes could be of great importance in manipulating ferulates accretion to the wall. Mutation of the feruloyl transferase gene(s) should lead to less ferulates secreted to the cell wall and reduced ferulate cross-linking. Our current research is based on the hypothesis that controlling the level of total feruloylation will have a direct impact on the level of cross-linking and in turn impact biomass utility for forage and biofuel production. Our results/accomplishments for this project so far include: 1. Mutagenised Brachypodium population. We have developed EMS mutagenized populations of model grass species Brachypodium distachyon. EMS populations have been developed from over 28,000 mutagenized seeds generating 5,184 M2 families. A total of 20,793 plants have been screened and 1,233 were originally selected. 2. Selected Brachypodium mutants: Potential mutants on their levels of cell wall ferulates and cell wall AX ? have been selected from 708 M2 families. A total of 303 back-crosses to no-mutagenized parental stock have been done, followed by selfing selected genotypes in order to confirm heritability of traits and to remove extraneous mutations generated by EMS mutagenesis. We are currently growing 12 F5 and F6 populations in order to assess CW composition. If low level of ferulates are confirmed in the candidate lines selected the mutation could be altered in different in one or several kinds of genes such as genes encoding an AX feruloyl transferase; genes encoding the arabinosyl transferase; genes encoding the synthesis of the xylan backbone; genes encoding enzymes of the monolignol pathway affecting FA formation or genes encoding transcription factors that control feruloylation. So it will require further investigations to confirm if we have a mutation on the ferulloyltransferase gene(s). We have also identified severe phenotypes which showed a significant change in the level of cell wall ferulates and sugars and have not survived. As this genotype did not reach flowering stage there was no seed production and so further analysis could not be done. 3. Candidate Gene Approach: Because of the likely long time expected to generate and identify candidate with mutation(s) on the feruloyltransferase gene, from our screening, we have in addition taken a bioinformatics approach in order to try to identify candidates gene(s) involved in feruloylation. Homologues of the rice feruloyl transferase genes belonging to Pfam PF02458 family were identified in Brachypodium distachyon by blasting EST sequences of putative rice arabinoxylan feruloyl transferase genes against Brachypodium and homologous sequences identified were tested for their expression level in Brachypodium. Sequences of the two Brachypodium genes, which showed highest expression and similarity to rice sequences, were used to design primers for construction of RNAi and over-expression vectors. These were transformed into Brachypodium using Agrobacterium transformation and plants generated have been analyzed for levels of cell wall ferulates and diferulates over generations T0 to T2 or T3. Our data shows a significant reduction if ferulates monomers and dimers from plants generated from RNAi::BdAT2 over 2-3 generations indicating that this gene might be a positive candidate for feruloylation in Brachypodium. However when BdAT2 was up regulated there was not much increase in the level of ferulates as would be expected. This lack of effect on the level of cell wall ferulates could be due to the CaMV::35S promoter used to drive the expression of the putative BdAT2 gene. We have shown previously that Aspergillus FAEA expression in tall fescue under CaMV::35S resulted in 1.9 fold decrease in activity compared to ac
Bubble Formation from Wall Orifice in Liquid Cross-Flow Under Low Gravity
NASA Technical Reports Server (NTRS)
Nahra, Henry K.; Kamotani, Y.
2000-01-01
Two-phase flows present a wide variety of applications for spacecraft thermal control systems design. Bubble formation and detachment is an integral part of the two phase flow science. The objective of the present work is to experimentally investigate the effects of liquid cross-flow velocity, gas flow rate, and orifice diameter on bubble formation in a wall-bubble injection configuration. Data were taken mainly under reduced gravity conditions but some data were taken in normal gravity for comparison. The reduced gravity experiment was conducted aboard the NASA DC-9 Reduced Gravity Aircraft. The results show that the process of bubble formation and detachment depends on gravity, the orifice diameter, the gas flow rate, and the liquid cross-flow velocity. The data are analyzed based on a force balance, and two different detachment mechanisms are identified. When the gas momentum is large, the bubble detaches from the injection orifice as the gas momentum overcomes the attaching effects of liquid drag and inertia. The surface tension force is much reduced because a large part of the bubble pinning edge at the orifice is lost as the bubble axis is tilted by the liquid flow. When the gas momentum is small, the force balance in the liquid flow direction is important, and the bubble detaches when the bubble axis inclination exceeds a certain angle.
NASA Astrophysics Data System (ADS)
Strivay, D.; Weber, G.
2002-05-01
When computing element concentration from proton induced X-ray emission analysis, an important parameter is the X-ray production cross-section. There have been numerous experimental and theoretical works in this field. Nonetheless, although there is a simple analytical formula to compute K X-ray cross-sections, there is no such ones for the L lines. We present here analytical formulas for the cross-section of the three main X-ray lines L?, L? and L? based on experimental data. So far, nearly 3000 values of cross-sections for elements from Ag to U and proton energy ranging from 0.5 to 3.5 MeV have been collected from various references. This experimental data set has been fitted for each X-ray line with an exponential function depending on the proton energy and on the element atomic number. These fitted values have then been compared to the experimental data and with theoretical values obtained by the ECPSSR theory and Coster-Kronig fluorescence yields.
Respiratory cross-sectional area-flux measurements of the human chest wall.
Sartene, R; Martinot-Lagarde, P; Mathieu, M; Vincent, A; Goldman, M; Durand, G
1990-04-01
A new device that utilizes the voltages induced in separate coils encircling the rib cage and abdomen by a magnetic field is described for measurement of cross-sectional areas of the human chest wall (rib cage and abdomen) and their variation during breathing. A uniform magnetic field (1.4 X 10(-7) Tesla at 100 kHz) is produced by generating an alternating current at 100 kHz in two square coils, 1.98 m on each side, parallel to the planes of the areas to be measured and placed symmetrically cephalad and caudad to these planes at a mean distance of 0.53 m. We demonstrated that the accuracy of the device on well-defined surfaces (squares, circles, rectangles, ellipses) was within 1% in all cases. Observed errors are due primarily to small inhomogeneities of the magnetic field and variation of the orientation of the coil relative to the field. Using a second magnetic field (80 kHz) perpendicular to the first, we measured the errors due to nonparallel orientation during quiet breathing and inspiratory capacity maneuvers. In 10 normal subjects, orientation effects were less than 2% for the rib cage and less than 0.7% for the abdomen. In five of these subjects, orientation effects at functional residual capacity in lateral and seated postures were generally less than or equal to 5%, but estimated tidal volume during spontaneous breathing was comparable to measurements in the supine posture. In five curarized patients, we assessed the linearity of volume-motion relationships of the rib cage and abdomen, comparing cross-sectional area and circumference measurements. Departures from linearity using cross-sectional areas were only one-third of those using circumferences. In seven normal subjects we compared cross-sectional area measurements with respiratory inductive plethysmography (RIP) and found comparable estimates of lung volume change over a wide range of relative rib cage contributions to tidal volume (-5 to 105%), with slightly higher standard deviations for the RIP (SD = 10% for RIP; SD = 4% for cross-sectional area). PMID:2347799
NASA Astrophysics Data System (ADS)
Tel, E.; Durgu, C.; Ayd?n, A.; Bölükdemir, M. H.; Kaplan, A.; Okuducu, ?.
2009-12-01
In the next century the world will face the need for new energy sources. Nuclear fusion can be one of the most attractive sources of energy from the viewpoint of safety and minimal environmental impact. Fusion will not produce CO2 or SO2 and thus will not contribute to global warming or acid rain. Achieving acceptable performance for a fusion power system in the areas of economics, safety and environmental acceptability, is critically dependent on performance of the blanket and diverter systems which are the primary heat recovery, plasma purification, and tritium breeding systems. Tritium self-sufficiency must be maintained for a commercial power plant. The hybrid reactor is a combination of the fusion and fission processes. For self-sustaining (D-T) fusion driver tritium breeding ratio should be greater than 1.05. So working out the systematics of ( n, t) reaction cross-sections are of great importance for the definition of the excitation function character for the given reaction taking place on various nuclei at energies up to 20 MeV. In this study, we have calculated non-elastic cross-sections by using optical model for ( n, t) reactions at 14-15 MeV energy. We have investigated the excitation function character and reaction Q-values depending on the asymmetry term effect for the ( n, t) reaction cross-sections. We have obtained new coefficients for the ( n, t) reaction cross-sections. We have suggested semi-empirical formulas including optical model nonelastic effects by fitting two parameters for the ( n, t) reaction cross-sections at 14-15 MeV. We have discussed the odd-even effect and the pairing effect considering binding energy systematic of the nuclear shell model for the new experimental data and new cross-sections formulas ( n, t) reactions developed by Tel et al. We have determined a different parameter groups by the classification of nuclei into even-even, even-odd and odd-even for ( n, t) reactions cross-sections. The obtained cross-section formulas with new coefficients have been discussed and compared with the available experimental data.
Technology Transfer Automated Retrieval System (TEKTRAN)
A putative mutant has been identified in maize that reduces ferulate cross linking of lignin to arabinoxylan in mature stover, increases in vitro rumen cell wall degradability, and increases milk production by cows. The seedling ferulate ester (sfe) mutant was discovered in a Mu transposon-mutated p...
Dimensionality cross-over in magnetism: from domain walls (2D) to vortices (1D) A. Masseboeuf,1
Boyer, Edmond
experimentally based on micron-sized flux-closure dots. Dimensionality cross-over is a rich topic in theoretical], transforming the order parameter in a uni- directional one. In this case both 180 domain walls and vortices-d) Views in the xz plane, corresponding to the framed areas in a-b, respectively. may switch reversibly
Waffenschmidt, Sabine; Kusch, Thomas; Woessner, Jeffrey Paul
1999-01-01
The addition of primary amines to the growth medium of the unicellular green alga Chlamydomonas reinhardtii disrupts cell wall assembly in both vegetative and zygotic cells. Primary amines are competitive inhibitors of the protein-cross-linking activity of transglutaminases. Two independent assays for transglutaminase confirmed a burst of extracellular activity during the early stages of cell wall formation in both vegetative cells and zygotes. When non-inhibiting levels of a radioactive primary amine (14C-putrescine) were added to the growth medium, both cell types were labeled in a reaction catalyzed by extracellular transglutaminase. The radioactive label was found specifically in the cell wall proteins of both cell types, and acid hydrolysis of the labeled material released unmodified 14C-putrescine. Western blots of the proteins secreted at the times of maximal transglutaminase activity in both cell types revealed a single highly cross-reactive 72-kD band when screened with antibodies to guinea pig tissue transglutaminase. Furthermore, the proteins immunoprecipitated by this antiserum in vivo exhibited transglutaminase activity. We propose that this transglutaminase is responsible for an early cell wall protein cross-linking event that temporally precedes the oxidative cross-linking mediated by extracellular peroxidases. PMID:10557250
Plethystic Formulas 1 Plethystic Formulas
Tesler, Glenn
Plethystic Formulas 1 Plethystic Formulas for Macdonald q;t-Kostka Coe cients A. M. Garsia y and G for the construction of explicit formulas for the K;q;t. It is shown that this algorithm yields expressions which are polynomials with integer coe cients. Recent work of J. Remmel shows that the resulting formulas do also yield
Plethystic Formulas 1 Plethystic Formulas
Tesler, Glenn
Plethystic Formulas 1 Plethystic Formulas for Macdonald q; tÂKostka Coefficients A. M. Garsia y here is an algorithm for the construction of explicit formulas for the K â??;Â¯ (q; t). It is shown that the resulting formulas do also yield positivity of the coefficients for a wide variety of entries
Analysis of a Rotating Shaft with a Thin-Walled Open Cross-Section Having One Symmetrical Axis
Yoshiro Ogi; Ken Higuchi; Kazuki Watanabe; Akihito Watanabe
2007-01-01
The purpose of this paper is to analyze structural statics and dynamics of a rotating shaft with a thin-walled open cross-section having one symmetrical axis. For the shaft, flexural-torsional coupling must be considered because the centroid axis and the shear-center axis do not always coincide. After deriving the governing equations of motion for a uniform shaft rotating at a constant
Infant formulas are food products designed to provide for the nutritional needs of infants under 1 year old. ... months old who are not drinking breast milk. Infant formulas vary in nutrients, calorie count, taste, ability to ...
Cross-Sectional Elastic Imaging of Arterial Wall Using Intravascular Ultrasonography
Hitoshi Mita; Hiroshi Kanai; Yoshiro Koiwa; Masataka Ichiki; Fumiaki Tezuka
2001-01-01
There have been several studies on the imaging of the distribution of the elasticity of the arterial wall using intravascular ultrasonography (IVUS). In those studies, the elasticity is estimated only during ventricular diastole. However, the viscous characteristics of the smooth muscle in the media of the arterial wall are also included in the strain measured during diastole. Alternatively, during systole,
Donlin, Maureen J.; Upadhya, Rajendra; Gerik, Kimberly J.; Lam, Woei; VanArendonk, Laura G.; Specht, Charles A.; Sharma, Neil K.
2014-01-01
ABSTRACT Cryptococcus neoformans is a fungal pathogen of immunocompromised people that causes fatal meningitis. The fungal cell wall is essential to viability and pathogenesis of C. neoformans, and biosynthesis and repair of the wall is primarily controlled by the cell wall integrity (CWI) signaling pathway. Previous work has shown that deletion of genes encoding the four major kinases in the CWI signaling pathway, namely, PKC1, BCK1, MKK2, and MPK1 results in severe cell wall phenotypes, sensitivity to a variety of cell wall stressors, and for Mpk1, reduced virulence in a mouse model. Here, we examined the global transcriptional responses to gene deletions of BCK1, MKK2, and MPK1 compared to wild-type cells. We found that over 1,000 genes were differentially expressed in one or more of the deletion strains, with 115 genes differentially expressed in all three strains, many of which have been identified as genes regulated by the cyclic AMP (cAMP)/protein kinase A (PKA) pathway. Biochemical measurements of cAMP levels in the kinase deletion strains revealed significantly less cAMP in all of the deletion strains compared to the wild-type strain. The deletion strains also produced significantly smaller capsules than the wild-type KN99 strain did under capsule-inducing conditions, although the levels of capsule they shed were similar to those shed by the wild type. Finally, addition of exogenous cAMP led to reduced sensitivity to cell wall stress and restored surface capsule to levels near those of wild type. Thus, we have direct evidence of cross talk between the CWI and cAMP/PKA pathways that may have important implications for regulation of cell wall and capsule homeostasis. PMID:25118241
... formula liquid with an equal part of water.Powder This is the least expensive formula. You mix one level scoop of powdered formula ... soapy water. Rinse them carefully to remove any soap residue. You can also run them through the dishwasher, which kills more germs than washing by hand. ... Created: 01/97
Christophe Bourlier; Philippe Pouliguen
2009-01-01
Radar cross section (RCS) is usually defined in the far-field zone. In this case, RCS is independent of the range of the radar from the object. However, in several scenarios, like for military applications or measurements led in anechoic chambers, the object is located in the near-field zone. From the physical optics (PO) approximation and from some simplifying assumptions, this
FIBER DEPOSITION ALONG AIRWAY WALLS: EFFECTS OF FIBER CROSS-SECTION ON ROTATIONAL INTERCEPTION
Airborne fibers present a threat to human health. athematical model of fiber motion is presented which suggests that significant rotational deposition occurs along airway walls downstream of human lung bifurcations. he predictions are validated by cited experimental data. oth pro...
Theoretical analyses of aerosol aging on a substrate without wall-effects by a cross-flow
Cowin, James P.; Yang, Xin; Yu, Xiao-Ying; Iedema, Martin J.
2011-12-12
Long time ({approx}1 day) aging or reactions of aerosol is typically studied using either large aerosol chambers (> 10 m3) or particles supported on a substrate to minimize wall effects. To avoid wall effects in the latter, it is often essential that the wall reactivity be extremely small (<< 10-5 reactions per encounter) and that the particle loadings be very small (< 1 pg/cm2) to eliminate transport-limited trace gas depletion near the particles and substrate. We evaluate here a cross-flow approach, which greatly reduces these constraints. Particles are to be supported on a micromesh ({approx}50% or more open area) through which the reactive gas is drawn at around a few hundred cm/s. The analysis shows how the competitions between flow and diffusion establishes a 'zone of isolation' several microns wide around each reactive particle, outside of which the reactivity of other particles or the substrate are irrelevant to the local reactions. This cross-flow approach reduces the effects of substrate and collective particle reactivity typically orders of magnitude, and will facilitate aging studies of supported aerosols.
NASA Technical Reports Server (NTRS)
Adeniji-Fashola, A. A.
1989-01-01
The effect of the turbulence intensity level and its cross-stream distribution at the inlet on the numerical prediction of the heat transfer in a two-dimensional turbulent-wall jet was investigated. The investigation was carried out within the framework of the standard kappa-epsilon turbulence model. The predicted Nusselt number showed the influence of the turbulence intensity level and its cross-stream distribution at the inlet to be significant but restricted to the first 15 slot widths from the inlet slot. Beyond this location, all the predictions were observed to collapse onto a single curve which exhibited a maximum over-prediction of about 30 percent when compared with the available experimental data.
Maruyama, Shigeo
photoluminescence excitation spectroscopy Yuhei Miyauchi, Mototeru Oba and Shigeo Maruyama* Department of Mechanical-polarized absorption peaks of isolated single-walled carbon nanotubes were observed by a polarized photoluminescence-4 Over the past few years, photoluminescence excitation (PLE) spectroscopy has been extensively used
O'Connor, Nina R
2009-04-01
Although the American Academy of Pediatrics and the American Academy of Family Physicians recommend breast milk for optimal infant nutrition, many parents still choose formula as an acceptable alternative. The wide variety of available formulas is confusing to parents and physicians, but formulas can be classified according to three basic criteria: caloric density, carbohydrate source, and protein composition. Most infants require a term formula with iron. There is insufficient evidence to recommend supplementation with docosahexaenoic acid or arachidonic acid. Soy formulas are indicated for congenital lactase deficiency and galactosemia, but are not recommended for colic because of insufficient evidence of benefit. Hypoallergenic formulas with extensively hydrolyzed protein are effective for the treatment of milk protein allergy and the prevention of atopic disease in high-risk infants. Antireflux formulas decrease emesis and regurgitation, but have not been shown to affect growth or development. Most infants with reflux require no treatment. Family physicians can use these guidelines to counsel parents about infant formula, countering consumer advertising that is not evidence-based. PMID:19378873
NSDL National Science Digital Library
2013-06-21
The quadratic formula is easy to solve, yet sufficiently sophisticated that it provides insight into oscillations of masses connected by springs, as well as insight into chemical bonds between atoms. The purpose of this video is to illustrate what it means to find the "zeros" or "roots" of the quadratic equation, both using a graphical description, as well as by analytically completing the square to obtain the famous quadratic formula.
NSDL National Science Digital Library
The Science House
2014-01-28
In this adapted version of poker, learners practice writing chemical formulas by playing this chemistry card game. The game is played as 5-card draw and uses cards that contain an ion, a subscript, or is blank (FREE!). Learners try to make a chemical formula that uses as many of their cards as possible. Learners will keep track of their moves and scores on their own score sheet (a sample is provided).
Rudner, David
-linking activity of penicillin-binding proteins (PBPs) that assemble peptidoglycan in cells has not been glycosyl- transferases polymerize Lipid II into glycan strands and enzymes known as penicillin-binding proteins (PBPs) cross- link and process the peptide side chains to produce mature PG.2 Because PG is highly
Shi, Qicun; Meroueh, Samy O.; Fisher, Jed F.; Mobashery, Shahriar
2011-01-01
Penicillin-binding protein 1b (PBP 1b) of the Gram-positive bacterium Streptococcus pneumoniae catalyzes the cross-linking of adjacent peptidoglycan strands, as a critical event in the biosynthesis of its cell wall. This enzyme is representative of the biosynthetic PBP structures of the ?-lactam-recognizing enzyme superfamily, and is the target of the ?-lactam antibiotics. In the cross-linking reaction, the amide between the -D-Ala-D-Ala dipeptide at the terminus of a peptide stem acts as an acyl donor toward the ?-amino group of a lysine found on an adjacent stem. The mechanism of this transpeptidation was evaluated using explicit-solvent molecular dynamics simulations and ONIOM quantum mechanics/molecular mechanics calculations. Sequential acyl transfer occurs to, and then from, the active site serine. The resulting cross-link is predicted to have a cis-amide configuration. The ensuing and energetically favorable cis- to trans-amide isomerization, within the active site, may represent the key event driving product release to complete enzymatic turnover. PMID:21417389
Fleischer, A.; O'Neill, M.A.; Ehwald, R.
1999-11-01
The walls of suspension-cultured Chenopodium album L. cells grown continually for more than 1 year on B-deficient medium contained monomeric rhamnogalacturonan (mRG-II) but not the borate ester cross-linked RG II dimer (dRG-II-B). The walls of these cells had an increased size limit for dextran permeation, which is a measure of wall pore size. Adding boric acid to growing B-deficient cells resulted in B binding to the wall, the formation of dRG-II-B from mRG-II, and a reduction in wall pore size within 10 min. The wall pore size of denatured B-grown cells was increased by treatment at pH {le} 2.0 or by treatment with Ca{sup 2+}-chelating agents. The acid-mediated increase in wall pore size was prevented by boric acid alone at pH 2.0 and by boric acid together with Ca{sup 2+}, but not by Na{sup +} or Mg{sup 2+} ions at pH 1.5. The Ca{sup 2+}-chelator-mediated increase in pore size was partially reduced by boric acid. Their results suggest that B-mediated cross-linking of RG-II in the walls of living plant cells generates a pectin network with a decreased size exclusion limit for polymers. The formation, stability, and possible functions of a borate ester cross-linked pectic network in the primary walls of nongraminaceous plant cells are discussed.
Vortex Partition Functions, Wall Crossing and Equivariant Gromov-Witten Invariants
NASA Astrophysics Data System (ADS)
Bonelli, Giulio; Sciarappa, Antonio; Tanzini, Alessandro; Vasko, Petr
2015-01-01
In this paper we identify the problem of equivariant vortex counting in a (2,2) supersymmetric two dimensional quiver gauged linear sigma model with that of computing the equivariant Gromov-Witten invariants of the GIT quotient target space determined by the quiver. We provide new contour integral formulae for the and -functions encoding the equivariant quantum cohomology of the target space. Its chamber structure is shown to be encoded in the analytical properties of the integrand. This is explained both via general arguments and by checking several key cases. We show how several results in equivariant Gromov-Witten theory follow just by deforming the integration contour. In particular, we apply our formalism to compute Gromov-Witten invariants of the orbifold, of the Uhlembeck (partial) compactification of the moduli space of instantons on , and of A n and D n singularities both in the orbifold and resolved phases. Moreover, we analyse dualities of quantum cohomology rings of holomorphic vector bundles over Grassmannians, which are relevant to BPS Wilson loop algebrae.
Barros-Rios, Jaime; Santiago, Rogelio; Jung, Hans-Joachim G; Malvar, Rosa A
2015-03-01
There is strong evidence to suggest that cross-linking of cell-wall polymers through ester-linked diferulates has a key role in plant resistance to pests; however, direct experimentation to provide conclusive proof is lacking. This study presents an evaluation of the damage caused by two corn borer species on six maize populations particularly selected for divergent diferulate concentrations in pith stem tissues. Maize populations selected for high total diferulate concentration had 31% higher diferulates than those selected for low diferulates. Stem tunneling by corn borer species was 29% greater in the population with the lowest diferulates than in the population with the highest diferulates (31.7 versus 22.6 cm), whereas total diferulate concentration was negatively correlated with stem tunneling by corn borers. Moreover, orthogonal contrasts between groups of populations evaluated showed that larvae fed in laboratory bioassays on pith stem tissues from maize populations with higher diferulates had 30-40% lower weight than larvae fed on the same tissues from maize populations with lower diferulates. This is the first report that shows a direct relationship between diferulate deposition in maize cell walls and corn borer resistance. Current findings will help to develop adapted maize varieties with an acceptable level of resistance against borers and be useful in special kinds of agriculture, such as organic farming. PMID:25619118
NASA Technical Reports Server (NTRS)
Nahra, Henry K.; Kamotani, Y.
2003-01-01
Bubble formation and detachment is an integral part of the two-phase flow science. The objective of the present work is to theoretically investigate the effects of liquid cross-flow velocity, gas flow rate embodied in the momentum flux force, and orifice diameter on bubble formation in a wall-bubble injection configuration. A two-dimensional one-stage theoretical model based on a global force balance on the bubble evolving from a wall orifice in a cross liquid flow is presented in this work. In this model, relevant forces acting on the evolving bubble are expressed in terms of the bubble center of mass coordinates and solved simultaneously. Relevant forces in low gravity included the momentum flux, shear-lift, surface tension, drag and inertia forces. Under normal gravity conditions, the buoyancy force, which is dominant under such conditions, can be added to the force balance. Two detachment criteria were applicable depending on the gas to liquid momentum force ratio. For low ratios, the time when the bubble acceleration in the direction of the detachment angle is greater or equal to zero is calculated from the bubble x and y coordinates. This time is taken as the time at which all the detaching forces that are acting on the bubble are greater or equal to the attaching forces. For high gas to liquid momentum force ratios, the time at which the y coordinate less the bubble radius equals zero is calculated. The bubble diameter is evaluated at this time as the diameter at detachment from the fact that the bubble volume is simply given by the product of the gas flow rate and time elapsed. Comparison of the model s predictions was also made with predictions from a two-dimensional normal gravity model based on Kumar-Kuloor formulation and such a comparison is presented in this work.
of these rearrangements takes place at the mid-cell, in a compartment designated the cross- wall. Secreted polypeptides, endocarditis, or pneumonia (1). Most antibiotics in current clinical use fail to treat infections with methicillin-resistant S. aureus (2); vancomycin and daptomycin are considered antibiotics of last resort
A. F. DU PREEZ; D. G. Kroeger
1995-01-01
Cross winds generally reduce the heat rejection rates of natural draft dry-cooling towers. The influence of different tower support geometries and a windbreak wall on the performance of a dry-cooling tower with a horizontal heat exchanger arrangement, during windy periods, is investigated. Based on experimental results, expressions for the tangential and radial pressure loss coefficients for an array of supports
APPENDIX Z. USEFUL FORMULAS 1 Useful Formulas
Callen, James D.
APPENDIX Z. USEFUL FORMULAS 1 Appendix Z Useful Formulas DRAFT 13:41 June 30, 2006 c J.D Callen, Fundamentals of Plasma Physics #12;APPENDIX Z. USEFUL FORMULAS 2 Key Vector Relations A Â· B = B Â· A, AÃ?B = - B;APPENDIX Z. USEFUL FORMULAS 3 Explicit Forms Of Vector Differentiation Operators (for orthogonal
NASA Astrophysics Data System (ADS)
Zhou, Feng-Qun; Yang, Xing-Qiang; Wang, Wei-Feng; Li, Yong; Zhang, Fang; Tuo, Fei; Kong, Xiang-Zhong
2008-11-01
According to the regulation of growing and decay of artificial radioactive nuclide, a formula used to subtract the effect of characteristic ?-ray of the others to that of measured reaction was deduced. And then the cross sections of 120Te (n, 2n)119mTe reaction induced by neutrons around 14 MeV were measured by activation relative to the 93Nb (n, 2n)92mNb. In the process of the cross sections measured to be calculated, it was subtracted that the effect of characteristic ?-ray of 126Te (n, p)126Sb to that of measured 120Te (n, 2n)119mTe reaction using the formula deduced. The experimental results were (689±37) and (750±41) mb at the neutron energies of (13.5±0.3) and (14.6±0.3) MeV, respectively. Measurements were carried out by ?-detection using a coaxial HPGe detector. As samples, spectroscopically pure tellurium powder has been used. The fast neutrons were produced by the T(d, n)4He reaction. The neutron energies in these measurements were determined by the method of cross-section ratios between 90Zr (n, 2n) 89m+gZr and 93Nb (n, 2n) 92mNb reactions. Supported by Program for Science & Technology Innovation Talents in Universities of Henan Province, China (2008 HASTIT032) and Scientific Research Start up Outlay of High-Position Talent in Pingdingshan University in Henan Province, China
Villanueva, Idalis; Klement, Brenda J; von Deutsch, Daniel; Bryant, Stephanie J
2009-03-01
In designing a tissue engineering strategy for cartilage repair, selection of both the bioreactor, and scaffold is important to the development of a mechanically functional tissue. The hydrodynamic environment associated with many bioreactors enhances nutrient transport, but also introduces fluid shear stress, which may influence cellular response. This study examined the combined effects of hydrogel cross-linking and the hydrodynamic environment on early chondrocyte response. Specifically, chondrocytes were encapsulated in poly(ethylene glycol) (PEG) hydrogels having two different cross-linked structures, corresponding to a low and high cross-linking density. Both cross-linked gels yielded high water contents (92% and 79%, respectively) and mesh sizes of 150 and 60 A respectively. Cell-laden PEG hydrogels were cultured in rotating wall vessels (RWV) or under static cultures for up to 5 days. Rotating cultures yielded low fluid shear stresses (< or = 0.11 Pa) at the hydrogel periphery indicating a laminar hydrodynamic environment. Chondrocyte response was measured through total DNA content, total nitric oxide (NO) production, and matrix deposition for glycosaminoglycans (GAG). In static cultures, gel cross-linking had no effect on DNA content, NO production, or GAG production; although GAG production increased with culture time for both cross-linked gels. In rotating cultures, DNA content increased, NO production decreased, and overall GAG production decreased when compared to static controls for the low cross-linked gels. For the high cross-linked gels, the hydrodynamic environment had no effect on DNA content, but exhibited similar results to the low cross-linked gel for NO production, and matrix production. Our findings demonstrated that at early culture times, when there is limited matrix production, the hydrodynamic environment dramatically influences cell response in a manner dependent on the gel cross-linking, which may impact long-term tissue development. PMID:18949761
Lane, J.W., Jr.; Joesten, P.K.; Savoie, J.G.
2001-01-01
A pilot-scale study was conducted by the U.S. Army National Guard (USANG) at the Massachusetts Military Reservation (MMR) on Cape Cod, Massachusetts, to assess the use of a hydraulic-fracturing method to create vertical, permeable walls of zero-valent iron to passively remediate ground water contaminated with chlorinated solvents. The study was conducted near the source area of the Chemical Spill-10 (CS-10) plume, a plume containing chlorinated solvents that underlies the MMR. Ground-water contamination near the source area extends from about 24 m (meters) to 35 m below land surface. The USANG designed two reactive-iron walls to be 12 m long and positioned 24 to 37 m below land surface to intersect and remediate part of the CS-10 plume.Because iron, as an electrical conductor, absorbs electromagnetic energy, the US Geological Survey used a cross-hole common-depth, radar scanning method to assess the continuity and to estimate the lateral and vertical extent of the two reactive-iron walls. The cross-hole radar surveys were conducted in boreholes on opposite sides of the iron injection zones using electric-dipole antennas with dominant center frequencies of 100 and 250 MHz. Significant decreases in the radar-pulse amplitudes observed in scans that traversed the injection zones were interpreted by comparing field data to results of two-dimensional finite-difference time-domain numerical models and laboratory-scale physical models.The numerical and physical models simulate a wall of perfectly conducting material embedded in saturated sand. Results from the numerical and physical models show that the amplitude of the radar pulse transmitted across the edge of a conductive wall is about 43 percent of the amplitude of a radar pulse transmitted across background material. The amplitude of a radar pulse transmitted through a hole in a conductive wall increases as the aperture of the hole increases. The modeling results indicate that holes with an aperture of less than 40 percent of the dominant wavelength of the radar pulse are not likely to be detected.Based on the results of the numerical and physical modeling, the decreases in radar-pulse amplitudes observed in scans traversing the injection zones are interpreted as electrically conductive zones that outline the distribution of iron. The area interpreted as iron in the northern A-wall contains two zones -- an upper zone about 10 m wide, extending from about 25 to 31 m below land surface, and a lower zone about 8 m wide, extending from 31.5 to 34.5 m below land surface. The area interpreted as iron in the southern B-wall is about 9 m wide, extending from about 27 to 34.5 m below land surface. No discrete holes were interpreted in either the A- or B-wall zones.The interpretation of the field data suggests that (1) the hydraulic-fracturing method introduced iron into the subsurface, but not in the dimensions originally proposed; (2) the iron within the treatment zones is distributed in a generally continuous manner; and (3) excluding the discontinuity in the A-wall, holes within the iron treatment zone, if any, exist at scales smaller than about 10 cm, the resolution limit of the radar antennas and acquisition geometry used for this study. The cross-hole radar method appears to have been an effective method for delineating the distribution of iron in the two walls; however, the veracity of the results cannot be ascertained without excavation or drilling into the treatment zone.
Design Presentation Chalmers Formula Student
Lemurell, Stefan
Design Presentation Chalmers Formula Student 2012-01-18 TC Frame Engine Suspension (fika) UM Packaging o Analysis o Iterations #12;The Design Â· Triangulated polygonal cross sectioned frame Â· Main Hoop Attenuator Two IAs are being investigated: Â· Aluminum honeycomb Â· Sheet metal IA Design Methodology
NASA Astrophysics Data System (ADS)
Perez-Rodriguez, José Luis; Centeno, Miguel Angel; Robador, María Dolores; Siguenza, Belinda; Durán, Adrián
2013-04-01
The Reales Alcazares of Sevilla was originally builded by the Arabic in the year 913. The Mudejar Palace was built by Christian King Pedro I between 1364 and 1366. At the end of XV century the Catholic Kings, Isabel and Fernando made important transformations especially in the Mudejar Palace. Recently, wall paints from Catholic Kings periods were found during works of conservations in the first floor of the Palace. The study of these paints by non-destructive techniques was considered of great interest in order to determine the technology of manufacture and the originality of the artwork. The main objective of this work was to apply the Raman spectroscopy technique on the surface of the wall and on the different layers of the cross-sections prepared in order to characterize the pigments and the plaster present in these wall paints. Little information was obtained using a portable Raman spectrometer. In this case the dispersive integrated Horiba Jobin-Yvon LabRaman HR800 system was employed. Small samples of black, red, yellow, white and green colour were taken from the artwork. The surface of the samples were directly studed by the Raman spectroscopy instrument using red (785 nm) and green (522 nm) lasers, similarly to non-invasive experimental technique. This technique showed the presence of gypsum (SO4Ca.2H2O) and calcite (CaCO3) in all the studied samples However, the pigments responsible of different colours were not detected. The surface of these wall paints was covered with gypsum and calcite due to contamination. These mineras were also characterized by XRD and SEM-EDX. The presence of these compounds and the heterogeneous surface did not permit the characterization of the pigments responsible of the colour. In order to better characterization of the pigments and plaster used the study was carried out on cross-sections. The black colour was performed using carbon black. Two different red layers were detected one constituted by cinnabar and lead carbonate and the other one by iron oxides. The green and white colours were constituted by atacamite and calcite, respectively. In addition lead white was detected in green colour. The white layers (plaster) located under the colour layers were constituted by calcite, quartz and feldspars. These data confirm the use of fresco technique. The study of the surface (external part) by micro-Raman spectroscopy limited the characterization of the pigments present in these wall pains, due to the presence of a layer of gypsum deposited on the surface. By other hand, the study by Raman spectroscopy of the cross-sections allowed the characterization of different pigments and support used in the manufacture of these wall paints.
Beth Burgwyn Fuchs; Eleftherios Mylonakis
2009-01-01
Fungi occupy diverse environments and are subjected to many extreme conditions. Among the stressful conditions faced by fungi are pH changes, osmotic changes, thermal changes, oxide radicals, nutrient depri- vation, and exposure to chemicals. These adversities can be found either in the environment or in animal and human hosts. The cell wall integrity (CWI) pathway provides a means to fortify
Study of the Neutron Flux and Dpa Attenuation in the Reactor Pressure-Vessel Wall
Remec, I.
1999-06-01
The study of the neutron flux and dpa attenuation in the reactor pressure vessel (PV) wall presented in this work was performed with state-of-the art methods currently used to determine PV fluxes, the BUGLE-96 cross-section library, and the iron displacement cross sections derived from ENDF/B-VI data. The calculations showed that the RG 1.99, Rev. 2, extrapolation formula predicts slower--and therefore conservative--attenuation of the neutron flux (E > 1MeV) in the PV wall. More importantly, the calculations gave slower attenuation of the dpa rate in the PV wall than the attenuation predicted by the formula. The slower dpa rate attenuation was observed for all the cases considered, which included two different PWRs, and several configurations obtained by varying the PV wall thickness and thermal shield thickness. For example, for a PV wall thickness of {approximately}24 cm, the calculated ratio of the dpa rate at 1/4 and 3/4 of the PV wall thickness to the dpa value on the inner PV surface is {approximately}14% and 19% higher, respectively, than predicted by the RG 1.99, Rev. 2, formula.
Nozomi Nakagawa; Hideyuki Hasegawa; Hiroshi Kanai
2004-01-01
We have developed the phased tracking method [H. Kanai, M. Sato, Y. Koiwa and N. Chubachi: IEEE Trans. UFFC 43 (1996) 791.] for measuring the minute change in thickness during one heartbeat and the elasticity of the arterial wall with transcutaneous ultrasound. When this method is applied to a plane perpendicular to the axis of the artery (short-axis plane) using
NASA Astrophysics Data System (ADS)
Rafezy, B.; Howson, W. P.
2008-11-01
A global analysis approach to modelling doubly asymmetric, three-dimensional, multi-bay, multi-storey, wall-frame structures is presented in a form that enables the lower numbered natural frequencies to be determined approximately with the certain knowledge that none have been missed. It is assumed that the primary walls and frames of the original structure run in two orthogonal directions and that their properties may vary in a step-wise fashion at one or more storey levels. The structure therefore divides naturally into uniform segments between changes of section properties. A typical segment is then replaced by an equivalent shear-flexure-torsion coupled beam whose governing differential equations are formulated using a continuum approach and posed in the form of a dynamic member stiffness matrix. The original structure can then be re-modelled as a sophisticated stepped cantilever in the usual way. Since the mass of each segment is assumed to be uniformly distributed, it is necessary to solve a transcendental eigenvalue problem, which is accomplished using the Wittrick-Williams algorithm. A parametric study on a series of wall-frame structures of varying height with different plan configurations is given to compare the accuracy of the current approach with datum results from fully converged finite element analyses.
Calculation of Centrally Loaded Thin-Walled Columns Above the Buckling Limit
NASA Technical Reports Server (NTRS)
Reinitzhuber, F.
1945-01-01
When thin-walled columns formed from flanged sheet, such as used in airplane construction, are subjected to axial load, their behavior at failure varies according to the slenderness ratio. On long columns the axis deflects laterally while the cross section form is maintained; buckling results. The respective breaking load in the elastic range is computed by Euler's formula and for the plastic range by the Engesser- Karman formula. Its magnitude is essentially dependent upon the length. On intermediate length columns, especially where open sections are concerned, the cross section is distorted while the cross section form is preserved; twisting failure results. The buckling load in twisting is calculated according to Wagner and Kappus. On short columns the straight walls of low-bending resistance that form the column are deflected at the same time that the cross section form changes - buckling occurs without immediate failure. Then the buckling load of the total section computable from the buckling loads of the section walls is not the ultimate load; quite often, especially on thin-walled sections, it lies considerably higher and is secured by tests. Both loads, the buckling and the ultimate load are only in a small measure dependent upon length. The present report is an attempt to theoretically investigate the behavior of such short, thin-walled columns above the buckling load with the conventional calculating methods.
NASA Astrophysics Data System (ADS)
Reimerdes, H.
2005-10-01
Dedicated experiments in the DIII-D and JET tokamaks and the NSTX spherical torus reveal an aspect ratio A and safety factor q dependence of the stabilizing effect of plasma rotation on the RWM, which is used to discriminate among theories and improve stabilization strategies in future devices including ITER. Despite the different distance of the DIII-D and JET walls, the critical rotation for RWM stabilization normalized to the inverse Alfven time is the same. Similar NSTX plasmas at lower A, however, yield a significantly higher critical rotation. A decrease of the critical rotation with increasing q95 in DIII-D and JET is consistent with the 1/q^2 dependence observed in NSTX. This increase of rotational stabilization with increasing q is predicted by a kinetic damping model [Bondeson, Phys. Plasmas 3 (1996) 3013] and can be derived from a viscous damping model [Fitzpatrick, Phys. Plasmas 9 (2002) 3459] when taking into account neoclassical viscosity [Shaing, Phys. Plasmas 11 (2004) 5525]. The observed A dependence of the critical rotation follows from this theory. In each device the weakly damped n=1 mode manifests itself in resonant field amplification (RFA) above the no-wall stability limit. Applying n=1 fields in similar DIII-D and JET plasmas yields the same amplification confirming that the damping process is independent of the wall properties. The RFA is well described by a single weakly damped mode and can be used to infer the RWM damping rate and rotation frequency. Measurements of RFA induced rotation damping in DIII-D will be compared to NSTX observations that agree with neoclassical toroidal viscosity induced drag. 0.5em In collaboration with the DIII-D Team, JET-EFDA contributors and the NSTX Team.
NASA Astrophysics Data System (ADS)
He, Z.; Bao, M.; Zhao, Y. M.; Arima, A.
2014-11-01
In this paper we improve an empirical mass formula constructed by Jänecke and collaborators. This formula is enlightened by the Garvey-Kelson mass relations. The new version of the Jänecke formula reproduces 2275 atomic masses with neutron number N ?10 and proton number Z ?6 , at an average accuracy of 128 keV, by employing 576 parameters. The predictive power of our formula is exemplified by comparison with predicted results of other mass models.
ERIC Educational Resources Information Center
Zhao, Bo; Bradbury, Katharine
2009-01-01
This paper designs a new equalization-aid formula based on fiscal gaps of local communities. When states are in transition to a new local aid formula, the issue of whether and how to hold existing aid harmless poses a challenge. The authors show that some previous studies and the formulas derived from them give differential weights to existing and…
Atomic model of a cell-wall cross-linking enzyme in complex with an intact bacterial peptidoglycan.
Schanda, Paul; Triboulet, Sébastien; Laguri, Cédric; Bougault, Catherine M; Ayala, Isabel; Callon, Morgane; Arthur, Michel; Simorre, Jean-Pierre
2014-12-24
The maintenance of bacterial cell shape and integrity is largely attributed to peptidoglycan, a highly cross-linked biopolymer. The transpeptidases that perform this cross-linking are important targets for antibiotics. Despite this biomedical importance, to date no structure of a protein in complex with an intact bacterial peptidoglycan has been resolved, primarily due to the large size and flexibility of peptidoglycan sacculi. Here we use solid-state NMR spectroscopy to derive for the first time an atomic model of an l,d-transpeptidase from Bacillus subtilis bound to its natural substrate, the intact B. subtilis peptidoglycan. Importantly, the model obtained from protein chemical shift perturbation data shows that both domains-the catalytic domain as well as the proposed peptidoglycan recognition domain-are important for the interaction and reveals a novel binding motif that involves residues outside of the classical enzymatic pocket. Experiments on mutants and truncated protein constructs independently confirm the binding site and the implication of both domains. Through measurements of dipolar-coupling derived order parameters of bond motion we show that protein binding reduces the flexibility of peptidoglycan. This first report of an atomic model of a protein-peptidoglycan complex paves the way for the design of new antibiotic drugs targeting l,d-transpeptidases. The strategy developed here can be extended to the study of a large variety of enzymes involved in peptidoglycan morphogenesis. PMID:25429710
NASA Technical Reports Server (NTRS)
Adamson, T. C., Jr.; Liou, M. S.; Messiter, A. F.
1980-01-01
An asymptotic description is derived for the interaction between a shock wave and a turbulent boundary layer in transonic flow, for a particular limiting case. The dimensionless difference between the external flow velocity and critical sound speed is taken to be much smaller than one, but large in comparison with the dimensionless friction velocity. The basic results are derived for a flat plate, and corrections for longitudinal wall curvature and for flow in a circular pipe are also shown. Solutions are given for the wall pressure distribution and the shape of the shock wave. Solutions for the wall shear stress are obtained, and a criterion for incipient separation is derived. Simplified solutions for both the wall pressure and skin friction distributions in the interaction region are given. These results are presented in a form suitable for use in computer programs.
NASA Technical Reports Server (NTRS)
Amecke, Juergen
1986-01-01
A method for the direct calculation of the wall induced interference velocity in two dimensional flow based on Cauchy's integral formula was derived. This one-step method allows the calculation of the residual corrections and the required wall adaptation for interference-free flow starting from the wall pressure distribution without any model representation. Demonstrated applications are given.
Formula Fiction and Hypertext.
ERIC Educational Resources Information Center
Young, Beth Rapp
What is pleasing about hypertext is what has always been pleasing about genre fiction: the creative process of reading. Genre novels are written to a formula--and often called formula fiction. Critics say they are written to make money and to make money only. According to C. S. Lewis, they "rot the mind." If looked at from the standpoint of…
Vickers, James
are described using formulae. For example, you may have already seen Ohm's law, v = iR, or Newton's second law substitute numbers in place of the variables. For example, Ohm's law provides a formula for relating of engineering in order to relate a physical quantity to one or more others. Many well-known physical laws
Unitization formulas need scrutiny
Cline, S.B.; Stanley, B.J. (Hefner Corp., Oklahoma City, OK (United States))
1993-09-13
In theory, unit participation formulas are based on sound engineering work and extensive geological data. The agreements are supposed to be carefully crafted to allocate to each owner an interest in the unit that reflects the relative value of his tract. But in practice, this is not always the case. In some cases, limited engineering work or geological data underlie the participation formulas. Also, sometimes, the formulas appear to be designed for maximizing the operator's revenue rather than for achieving fairness. As a result, participation formulas vary greatly, even among units with similar reservoir characteristics. Unitization, of course, is the consolidation of separate tracts overlying a common reservoir so that many tracts can be operated as one. Unitization increases production efficiency and benefits all the unit's owners if the participation formula is equitable. To create the unit, state require the consent of a certain percentage of the owners. On obtaining the statutory percentage, the applicant may create the unit over the objections of the minority dissenting owners. The required percentage varies from 62.5 to 85%. The participation formula is the most important and difficult matter to settle. There is virtually no limit to the number of possible parameters in the unit participation formula, but there are certain factors that are frequently considered. This paper discusses these factors, participation formulas, and a comparison of their use.
Enid Slack
Territorial Formula Financing (TFF) in its current form was first introduced in 1985. Although some modifications have been made since the initial agreement was signed, the basic structure of the formula has remained roughly the same up until 2004 when the New Framework was introduced. Under TFF, the territories receive an annual \\
NSDL National Science Digital Library
Levy, Silvio
Rewritten and updated excerpts from the 30th Edition of the CRC Standard Mathematical Tables and Formulas. Covers all of geometry, minus differential geometry. Very complete collection of definitions, formulas, tables and diagrams, divided into two- and three- dimensional geometry, and further into 16 subdivisions such as transformations, polygons, coordinate systems, isometries, polyhedra and spheres.
A New Euler's Formula for DNA Polyhedra
Hu, Guang; Qiu, Wen-Yuan; Ceulemans, Arnout
2011-01-01
DNA polyhedra are cage-like architectures based on interlocked and interlinked DNA strands. We propose a formula which unites the basic features of these entangled structures. It is based on the transformation of the DNA polyhedral links into Seifert surfaces, which removes all knots. The numbers of components , of crossings , and of Seifert circles are related by a simple and elegant formula: . This formula connects the topological aspects of the DNA cage to the Euler characteristic of the underlying polyhedron. It implies that Seifert circles can be used as effective topological indices to describe polyhedral links. Our study demonstrates that, the new Euler's formula provides a theoretical framework for the stereo-chemistry of DNA polyhedra, which can characterize enzymatic transformations of DNA and be used to characterize and design novel cages with higher genus. PMID:22022596
NASA Astrophysics Data System (ADS)
Ma, Deyou; Yang, Hongsheng; Sun, Lina
2014-12-01
Sea cucumber ( Apostichopus japonicus) is one of the most important aquaculture animals in China. Usually its normal body color is black that fits its living environment. The juvenile individuals obtained by crossing albino sea cucumber segregated in body color. To document the transcriptome difference between albino associating sea cucumber and the control, we sequenced their transcriptomes with RNA-seq. Approximately, 4.790 million (M) and 4.884 M reads, 200 nt in length, were generated from the body wall of albino associating sea cucumber and the control, respectively, from them, 9550 (46.81%) putative genes were identified. In total, 583 genes were found to express differentially between albino associating sea cucumber and the control. Of these differentially expressed genes (DEGs), 4.8% changed more than five-folds. The expression levels of eight DEGs were confirmed with real-time PCR. The changing trend of these DEGs detected with real-time PCR agreed well with that detected with RNA-seq, although the change degree of some DEGs was different. Four significantly enriched pathways were identified for DEGs, which included phagocytosis, Staphylococcus aureus infection, ECM-receptor interaction and focal adhesion. These pathways were helpful for understanding the physiological difference between albino associating sea cucumber and the control.
MATH formulas in PARragraph mode
RÃ©my, Didier
MATH formulas in PARragraph mode for displaying lists of formulas that are typeset in mixed horizontal and vertical modes. The package is two formulas on the same line, and several lines in the same display. The arrangement of the sequence
Revised formula of the average number of Frenkel-pairs
NASA Astrophysics Data System (ADS)
Zhang, Zhu Lin
Based on the model of Kinchin and Pease, the author has derived a revised formula for the average number of Frenkel-pairs by using a new scattering cross section proposed recently. The formula, on the one hand, has confirmed Lindhard's statement, on the other hand, has removed the limitation of hard-sphere scattering model pointed out by sigmund.
A Simple Approach to the Landau-Zener Formula
ERIC Educational Resources Information Center
Vutha, Amar C.
2010-01-01
The Landau-Zener formula provides the probability of non-adiabatic transitions occurring when two energy levels are swept through an avoided crossing. The formula is derived here in a simple calculation that emphasizes the physics responsible for non-adiabatic population transfer. (Contains 2 figures.)
AJ Geometric Formulas Calculator
NSDL National Science Digital Library
Jimmy Raymond
Solve various attributes of shapes and solids. Includes calculations for circle, parallelogram, rectangle, square, trapezoid, right circular cone, right circular cylinder, rectangular solid, and sphere geometric formulas. Geometry attributes include volume, area, perimeter, surface area, radius, length and circumference.
24 CFR 905.400 - Capital Fund formula (CF formula).
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Capital Fund formula (CF formula). 905.400 Section 905.400 Housing and Urban...THE PUBLIC HOUSING CAPITAL FUND PROGRAM Capital Fund Formula § 905.400 Capital Fund formula (CF...
Variables and Formulas, continued IV. Formulas and Equations, continued
White, Donald L.
Variables and Formulas, continued IV. Formulas and Equations, continued B. Finding Other Values Sometimes a formula is not given in the most convenient form for use in a particular situation. Using the formulas above in the form given, solve the following problems. 1. Find the width of a rectangle
Technology Transfer Automated Retrieval System (TEKTRAN)
The stem cell walls of alfalfa [Medicago sativa (L.) ssp. sativa] genotype 252 have high cellulose and lignin concentrations, while stem cell walls of genotype 1283 have low cellulose and lignin concentrations. The GeneChip® Medicago Genome Array, developed for Medicago truncatula, is a suitable pla...
Generalized Schwinger Mass Formula
Leonid Burakovsky; Philip R. Page; Terry Goldman
1999-10-08
We generalize Schwinger's original mass formula to the case of an additional isosinglet mixing with the nonet mesons. We then make further generalization to either (i) an arbitrary number of additional isosinglets mixing with nonet mesons, or (ii) an arbitrary number of mesons mixing with an additional isosinglet. In the former case, we present an explicit relation, while in the latter case, we show by numerical example that the new mass formula is only weakly affected by the inclusion of additional mesons, and hence holds with good accuracy for each of the 3x3 mass sub-matrices.
Duflo, J. [Centre de Spectrometrie Nucleaire et de Spectrometrie de Masse (IN2P3-CNRS), 91405 Orsay Campus (France)] [Centre de Spectrometrie Nucleaire et de Spectrometrie de Masse (IN2P3-CNRS), 91405 Orsay Campus (France); Zuker, A. [Physique Theorique, Bat40/1 CRN, IN2P3-CNRS/Universite Louis Pasteur BP 28, F-67037 Strasbourg Cedex 2 (France)] [Physique Theorique, Bat40/1 CRN, IN2P3-CNRS/Universite Louis Pasteur BP 28, F-67037 Strasbourg Cedex 2 (France)
1995-07-01
By assuming the existence of a pseudopotential smooth enough to do Hartree-Fock variations and good enough to describe nuclear structure, we construct mass formulas that rely on general scaling arguments and on a schematic reading of shell model calculations. Fits to 1751 known binding energies for {ital N},{ital Z}{ge}8 lead to rms errors of 375 keV with 28 parameters. Tests of the extrapolation properties are passed successfully. The Bethe-Weizsaecker formula is shown to be the asymptotic limit of the present one(s). The surface energy of nuclear matter turns out to be probably smaller than currently accepted.
Analytic form of transverse head-to-head domain walls in thin cylindrical wires
NASA Astrophysics Data System (ADS)
Hertel, Riccardo; Kákay, Attila
2015-04-01
The static problem of a one-dimensional, transverse head-to-head domain wall structure in a thin soft-magnetic nanowire with circular cross-section is treated within the framework of micromagnetic theory. An analytic form of the domain wall profile is derived, which yields that the domain wall profile depends on the wire radius. The analysis is performed by decomposing the magnetostatic energy into a monopolar and a dipolar term. We present a model in which the dipolar term of the magnetostatic energy resulting from the transverse magnetization in the center of the domain wall is calculated with Osborn's formulas for homogeneously magnetized ellipsoids [Phys. Rev. 67 (1945) 351] [22]. The analytic results agree almost perfectly with simulation data as long as the wire diameter is sufficiently small to prevent inhomogeneities of the magnetization along the cross-section. Owing to the recently demonstrated negligible Döring mass of these walls, our results should also apply to the dynamic case, where domain walls are driven by spin-transfer toque effects and/or an axial magnetic field.
Research Timeline: Formulaic language
ERIC Educational Resources Information Center
Wray, Alison
2013-01-01
Creating a timeline for formulaic language is far from simple, because several partially independent lines of research have contributed to the emerging picture. Each exhibits cycles of innovation and consolidation over time: domains take a leading role in developing new knowledge and then fall back, while another area comes to the fore. Thus, some…
Formula Hybrid International Competition
Carver, Jeffrey C.
of the hybrid gasoline engine, there are more components to a hybrid drivetrain, including the electric motor, and computerized control systems. But the greatest obstacle of all was that hybrid cars could not meet newlyFormula Hybrid International Competition May 4, 5, 6, 2009 #12;09 annual third We are thrilled
ERIC Educational Resources Information Center
Roebuck, Kay I. Meeks
1997-01-01
Suggests use of the quadratic formula to build understanding that connections between factors and solutions to equations work both ways. Making use of natural connections among concepts allows students to work more efficiently. Presents four sample problems showing the roots of equations. Messy quadratic equations with rational roots can be solved…
The Formula Essay Reconsidered
ERIC Educational Resources Information Center
Haluska, Jan
2012-01-01
Bruce Pirie offers the following criticism about formula essays: "What does a five-paragraph essay teach about writing? It teaches that there are rules, and that those rules take the shape of a preordained form, like a cookie-cutter, into which we can pour ideas and expect them to come out well shaped." He goes on to discredit such essays as being…
NSDL National Science Digital Library
2011-01-01
Completing the square is applied to the general quadratic to derive the quadratic formula. Before an area application example is given there is a quick review of the four methods that have been presented for solving quadratic equations. Complex numbers are introduced before the discriminant is presented.
Breastfeeding vs. Formula Feeding
... human baby's digestive system, breast milk's components — lactose, protein (whey and casein), and fat — are easily digested by a newborn's immature system. As a group, breastfed infants have less difficulty with digestion than do formula-fed infants. Breast milk tends ...
Hyperbolic Formulas in Elliptic Cauchy Problems
D. Fedchenko; N. Tarkhanov
2010-03-18
We study the Cauchy problem for the Laplace equation in a cylindrical domain with data on a part of it's boundary which is a cross-section of the cylinder. On reducing the problem to the Cauchy problem for the wave equation in a complex domain and using hyperbolic theory we obtain explicit formulas for the solution, thus developing the classical approach of Hans Lewy (1927).
Overview: Infant Formula and Fluorosis
... care professional to see. Recent evidence suggests that mixing powdered or liquid infant formula concentrate with fluoridated ... dental fluorosis. Those types of formula that require mixing with waterâ€”powdered or liquid concentratesâ€”can be ...
Schiller, Brad W
2007-01-01
The purpose of this thesis is the design and implementation of the pedal box for the 2007 MIT Formula SAE car. Formula SAE is a collegiate competition in which groups of degree seeking students design and manufacture small ...
NASA Astrophysics Data System (ADS)
Choi, C. Y.; Zheng, Z.; Wong, K. W.; Du, Z. L.; Lau, W. M.; Du, R. X.
2008-06-01
A two-step synthesis for multi-walled carbon nanotube (MWCNT) coating was reported that includes an electrochemical deposition followed by 10 eV hyperthermal proton bombardment at a dose as low as 1×1016 H+/cm2. Electrochemical deposition ensures an improved adhesion of MWCNT coating on metal substrates, while hyperthermal proton bombardment effectively induces inter-chain cross-linkages among MWCNTs, leading to a coating with both higher stiffness and mechanical strength. It was found experimentally that the MWCNT film made by the proposed two-step synthesis can better resist spinning and ultrasonic rinsing in both organic (hexane) and aqueous (water) media.
Efficient Simplification of Bisimulation Formulas
Larsen, Kim Skak
Efficient Simplification of Bisimulation Formulas Uffe H. Engberg1 Kim S. Larsen23 ABSTRACT The problem of checking or optimally simplifying bisimula- tion formulas is likely to be computationally very what we can obtain. Sometimes our algorithm can simplify a formula per- fectly, sometimes it cannot
FINITE PROJECTIVE FORMULAS Nick Arevadze
Amsterdam, University of
FINITE PROJECTIVE FORMULAS Nick Arevadze September 12, 2001 1 Introduction The notion of projective formula was introduced by Ghilardi [8] in 1999. Let us denote by Pn a set of fixed p1, . . . , pn propositional variables and by n Â all equivalence classes of intuitionistic formulas with variables in Pn
FINITE PROJECTIVE FORMULAS Nick Arevadze
Amsterdam, University of
FINITE PROJECTIVE FORMULAS Nick Arevadze September 12, 2001 1 Introduction The notion of projective formula was introduced by Ghilardi [8] in 1999. Let us denote by P n a set of fixed p 1 , . . . , p n propositional variables and by # n -- all equivalence classes of intuitionistic formulas with variables in P n
NASA Astrophysics Data System (ADS)
Azram, M.; Elfaki, F. A. M.
2013-12-01
Cauchy-Goursat integral theorem is a pivotal, fundamentally important, and well celebrated result in complex integral calculus. It requires analyticity of the function inside and on the boundary of the simple closed curve. In this study we will investigate the condition(s) under which even though the function is not analytic at a point inside C. Consequently, we will extend the above notion to a finite numbers of points and will present an easy and simple proof of unquestionably the most important, significant and pivotal result known as Cauchy integral formula.
Kim, Sung Joon; Matsuoka, Shigeru; Patti, Gary J.; Schaefer, Jacob
2009-01-01
Des-N-methylleucyl-4-(4-fluorophenyl)benzyl-vancomycin (DFPBV) retains activity against vancomycin-resistant pathogens despite its damaged D-Ala-D-Ala binding cleft. Using solid-state NMR, a DFPBV binding site in the cell walls of whole cells of S. aureus has been identified. The cell walls were labeled with D-[1-13C]alanine, [1-13C]glycine, and L-[?-15N]lysine. Internuclear distances from 19F of the DFPBV to the 13C and 15N labels of the cell-wall peptidoglycan were determined by rotational-echo double resonance (REDOR) NMR. The 13C{19F} and 15N{19F} REDOR spectra show that in situ, DFPBV binds to the peptidoglycan as a monomer with its vancosamine hydrophobic sidechain positioned near a pentaglycyl bridge. This result suggests that the antimicrobial activity of other vancosamine-modified glycopeptides depends on both D-Ala-D-Ala stem-terminus recognition (primary binding site) and stem-bridge recognition (secondary binding site). PMID:18302341
NASA Technical Reports Server (NTRS)
Epp, L. W.; Stanton, P. H.
1993-01-01
In order to add the capability of an X-band uplink onto the 70-m antenna, a new dichroic plate is needed to replace the Pyle-guide-shaped dichroic plate currently in use. The replacement dichroic plate must exhibit an additional passband at the new uplink frequency of 7.165 GHz, while still maintaining a passband at the existing downlink frequency of 8.425 GHz. Because of the wide frequency separation of these two passbands, conventional methods of designing air-filled dichroic plates exhibit grating lobe problems. A new method of solving this problem by using a dichroic plate with cross-shaped holes is presented and verified experimentally. Two checks of the integral equation solution are described. One is the comparison to a modal analysis for the limiting cross shape of a square hole. As a final check, a prototype dichroic plate with cross-shaped holes was built and measured.
NSDL National Science Digital Library
2006-01-01
Measuring something as subjective as the feeling or state of happiness is a tricky business. While some may take pleasure in closing a big financial merger, others may be content to watch a babbling brook as they sip lemonade. The BBC has never shied away from taking on such weighty matters and they have recently created this website to complement their ongoing series titled "The Happiness Formula". Users may wish to orient themselves to the site by viewing some of the short video clips featured on the right-hand side of the site's homepage. The site also contains material on the relationship between economic success and overall happiness levels and the health benefits of happiness. The site is rounded out by a place where visitors can offer their own suggestions for improving happiness and another area where they can take a quiz on happiness.
NASA Astrophysics Data System (ADS)
Fukushima, Toshio
2003-07-01
We adapt J. G. Williams' expression of the precession and nutation using the 3-1-3-1 rotation to an arbitrary inertial frame of reference. The modified formulation avoids a singularity caused by finite pole offsets near the epoch. By adopting the planetary precession formula numerically determined from DE405 and by using a recent theory of the forced nutation of the nonrigid Earth by Shirai & Fukishima, we analyze the celestial pole offsets observed by VLBI for 1979-2000 and determine the best-fit polynomials of the lunisolar precession angles. We then translate the results into classical precession quantities and evaluate the difference due to the difference in the ecliptic definition. The combination of these formulae and the periodic part of the Shirai-Fukishima nutation theory serves as a good approximation of the precession-nutation matrix in the International Celestial Reference Frame. As a by-product, we determine the mean celestial pole offset at J2000.0 as X0=-(17.12+/-0.01) mas and Y0=-(5.06+/-0.02) mas. Also, we estimate the speed of general precession in longitude at J2000.0 as p=5028.7955"+/-0.0003" per Julian century, the mean obliquity at J2000.0 in the inertial sense as (?0)I=84381.40621"+/-0.00001" and in the rotational sense as (?0)R=84381.40955"+/-0.00001", and the dynamical flattening of Earth as Hd=(3.2737804+/-0.0000003)×10-3. Furthermore, we establish a fast way to compute the precession-nutation matrix and provide a best-fit polynomial of an angle to specify the mean Celestial Ephemeris Origin.
A. F. du Preez; D. G. Kröger
1995-01-01
In most full scale dry-cooling towers rectangular heat exchanger bundles are arranged either vertically around the circumference of the tower or horizontally in the inlet cross-section of the tower. A numerical procedure is used in the present paper to investigate the influence of the particular arrangement on the performance of a tower in windy conditions with the results being verified
Bertsch George F.
the Golden Rule formula W = 2Ã? X f jhf jvjiij 2 ffi(E f \\Gamma E i ) The differental scattering cross section. Differential cross section: doe d\\Omega = jf j 2 (1) Relation between scattering amplitude and phase shifts: f 0 i = V 0 k; k 0 ! \\Lambda = 0 otherwise Let us first calculate the Born cross section using
Genetic and molecular basis of grass cell-wall degradability
John H. Grabber; John Ralph; Catherine Lapierre; Y Ves Barrière
Abstract Lignification limits grass cell-wall digestion by herbivores. Lignification is spatially and temporally regulated, and lignin characteristics differ between cell walls, plant tissues, and plant parts. Grass lignins are anchored within walls by ferulate and diferulate cross-links, p-coumarate cyclodimers, and possibly benzyl ester and ether cross-links. Cell-wall degradability is regulated by lignin concentration, cross-linking, and hydrophobicity but not directly by
Rate of Convergence for Cardy's Formula
Dana Mendelson; Asaf Nachmias; Samuel S. Watson
2014-05-02
We show that crossing probabilities in 2D critical site percolation on the triangular lattice in a piecewise analytic Jordan domain converge with power law rate in the mesh size to their limit given by the Cardy-Smirnov formula. We use this result to obtain new upper and lower bounds of exp(O(sqrt(log log R))) R^(-1/3) for the probability that the cluster at the origin in the half-plane has diameter R, improving the previously known estimate of R^(-1/3+o(1)).
Leonardo da Vinci's "A skull sectioned": skull and dental formula revisited.
Gerrits, Peter O; Veening, Jan G
2013-05-01
What can be learned from historical anatomical drawings and how to incorporate these drawings into anatomical teaching? The drawing "A skull sectioned" (RL 19058v) by Leonardo da Vinci (1452-1519), hides more detailed information than reported earlier. A well-chosen section cut explores sectioned paranasal sinuses and ductus nasolacrimalis. A dissected lateral wall of the maxilla is also present. Furthermore, at the level of the foramen mentale, the drawing displays compact and spongious bony components, together with a cross-section through the foramen mentale and its connection with the canalis mandibulae. Leonardo was the first to describe a correct dental formula (6424) and made efforts to place this formula above the related dental elements. However, taking into account, the morphological features of the individual elements of the maxilla, it can be suggested that Leonardo sketched a "peculiar dental element" on the position of the right maxillary premolar in the dental sketch. The fact that the author did not make any comment on that special element is remarkable. Leonardo could have had sufficient knowledge of the precise morphology of maxillary and mandibular premolars, since the author depicted these elements in the dissected skull. The fact that the author also had access to premolars in situ corroborates our suggestion that "something went wrong" in this part of the drawing. The present study shows that historical anatomical drawings are very useful for interactive learning of detailed anatomy for students in medicine and dentistry. PMID:22431331
NASA Astrophysics Data System (ADS)
Fukushima, T.
2003-08-01
We adapted J.G. Williams' expression of the precession and nutation by the 3-1-3-1 rotation (Williams 1994) to an arbitrary inertial frame of reference. The new expression of the precession matrix is P = R1(-? ) R3(-? ) R1(?) R3(? ) while that of precession-nutation matrix is NP = R1(-? -? ? ) R3(-? -? ? ) R1(?) R3(? ). Here ? and ? are the new planetary precession angles, ? and ? are the new luni-solar precession angles, and ? ? and ? ? are the usual nutations. The modified formulation avoids a singularity caused by finite pole offsets near the epoch. By adopting the latest planetary precession formula determined from DE405 (Harada 2003) and by using a recent theory of the forced nutation of the non-rigid Earth, SF2001 (Shirai and Fukushima 2001), we analysed the celestial pole offsets observed by VLBI for 1979-2000 and compiled by USNO and determined the best-fit polynomials of the new luni-solar precession angles. Then we translated the results into the classic precessional quantities as sin ? A sin ? A, sin ? A \\cos ? A, ? A, ? A, pA, ? A, ? A, ?A, ? A, zA, and ? A. Also we evaluated the effect of the difference in the ecliptic definition between the inertial and rotational senses. The combination of these formulas and the periodic part of SF2001 serves as a good approximation of the precession-nutation matrix in the ICRF. As a by-product, we determined the mean celestial pole offset at J2000.0 as X0 = -(17.12 +/- 0.01) mas and Y0 = -(5.06 +/- 0.02) mas. Also we estimated the speed of general precession in longitude at J2000.0 as p = (5028.7955 +/- 0.0003)''/Julian century, the mean obliquity at J2000.0 in the rotational sense as ? 0 = (84381.40955 +/- 0.00001)'', and the dynamical flattening of the Earth as Hd = (0.0032737804 +/- 0.0000000003). Further, we established a fast way to compute the precession-nutation matrix and provided a best-fit polynomial of s, an angle to specify the mean CEO.
Trace Formulas and Bogomolny's Transfer Operator
Oleg Zaitsev; R. Narevich; R. E. Prange
1999-02-23
The trace formulas commonly used in discussing spectral properties of quantum or wave systems are derived simply and directly from the Bogomolny transfer operator. Special cases are the Gutzwiller formula, the Berry-Tabor formula, and the perturbed Berry-Tabor formula. A comment is made about interpolation formulas proposed in the latter case.
Uniform flow formulas for irregular sections
NASA Astrophysics Data System (ADS)
Spada, E.; Tucciarelli, T.; Sinagra, M.; Sammartano, V.; Corato, G.
2015-02-01
Two new methods for uniform flow discharge computation are presented, validated and compared with other available formulas. The first method derives from the well-known Huthoff algorithm, which is first shown to be dependent on the way the river cross-section is discretized into several sub-sections. The second method assumes the vertically averaged longitudinal velocity to be a function only of the friction factor and of the so-called "local hydraulic radius", computed as the ratio between the integral of the elementary areas around a given vertical and the integral of the elementary solid boundaries around the same vertical. Both integrals are weighted with a linear shape function, equal to zero at a distance from the integration variable which is proportional to the water depth according to an empirical coefficient ?. Both formulas are validated against (1) laboratory experimental data, (2) discharge hydrographs measured in a real site, where the friction factor is estimated from an unsteady-state analysis of water levels recorded in two different river cross sections, (3) the 3-D solution obtained using the commercial ANSYS CFX code, computing the steady state uniform flow in a short reach of a prismatic channel, with known water level in the downstream section.
A cave wall showing several cave formations, or speleothems. The larger formations at the bottom formed submerged in water, whereas the smaller formations at the top were exposed to air when they formed....
Generalized Klein-Nishina formula
Krajewska, K; Kami?ski, J Z
2015-01-01
The generalized Klein-Nishina formula for Compton scattering of charged particles by a finite train of pulses is derived in the framework of quantum electrodynamics. The formula also applies to classical Thomson scattering provided that frequencies of generated radiation are smaller that the cut-off frequency. The validity of the formula for incident pulses of different durations is illustrated by numerical examples. The positions of the well-resolved Compton peaks, with the clear labeling by integer orders, opens up the possibility of the precise diagnostics of properties of relativistically intense, short laser pulses. This includes their peak intensity, the carrier-envelope phase, and their polarization properties.
Two Mixing Formulas Maxwell-Garnett formula (out-layer as background)
Zhang, Guifu
Two Mixing Formulas Â· Maxwell-Garnett formula (out-layer as background) Equivalent form--Rayleigh mixing formula Â· Polder-van Santern mixing formula ! "e "1 = 1+ 2 fy 1# fy ! f = NV ! y = "2 #"1 "2 + 2
Central Difference Formula in Numerical Analysis.
ERIC Educational Resources Information Center
de Alwis, Tilak
1992-01-01
Describes numerical differentiation and the central difference formula in numerical analysis. Presents three computer programs that approximate the first derivative of a function utilizing the central difference formula. Analyzes conditions under which the approximation formula is exact. (MDH)
27 CFR 17.121 - Product formulas.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Product formulas. 17.121 Section 17.121 Alcohol...USED IN MANUFACTURING NONBEVERAGE PRODUCTS Formulas and Samples § 17.121 Product formulas. (a) General. Except as provided...
27 CFR 17.121 - Product formulas.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Product formulas. 17.121 Section 17.121 Alcohol...USED IN MANUFACTURING NONBEVERAGE PRODUCTS Formulas and Samples § 17.121 Product formulas. (a) General. Except as provided...
27 CFR 25.57 - Formula information.
Code of Federal Regulations, 2011 CFR
2011-04-01
... 1 2011-04-01 2011-04-01 false Formula information. 25.57 Section 25.57 Alcohol...TREASURY LIQUORS BEER Miscellaneous Provisions Formulas § 25.57 Formula information. (a) Ingredient information....
27 CFR 25.57 - Formula information.
Code of Federal Regulations, 2014 CFR
2014-04-01
... 1 2014-04-01 2014-04-01 false Formula information. 25.57 Section 25.57 Alcohol...TREASURY ALCOHOL BEER Miscellaneous Provisions Formulas § 25.57 Formula information. (a) Ingredient information....
27 CFR 17.121 - Product formulas.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Product formulas. 17.121 Section 17.121 Alcohol...USED IN MANUFACTURING NONBEVERAGE PRODUCTS Formulas and Samples § 17.121 Product formulas. (a) General. Except as provided...
27 CFR 25.57 - Formula information.
Code of Federal Regulations, 2010 CFR
2010-04-01
... 1 2010-04-01 2010-04-01 false Formula information. 25.57 Section 25.57 Alcohol...TREASURY LIQUORS BEER Miscellaneous Provisions Formulas § 25.57 Formula information. (a) Ingredient information....
27 CFR 17.121 - Product formulas.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Product formulas. 17.121 Section 17.121 Alcohol...USED IN MANUFACTURING NONBEVERAGE PRODUCTS Formulas and Samples § 17.121 Product formulas. (a) General. Except as provided...
27 CFR 17.121 - Product formulas.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Product formulas. 17.121 Section 17.121 Alcohol...USED IN MANUFACTURING NONBEVERAGE PRODUCTS Formulas and Samples § 17.121 Product formulas. (a) General. Except as provided...
27 CFR 25.57 - Formula information.
Code of Federal Regulations, 2013 CFR
2013-04-01
... 1 2013-04-01 2013-04-01 false Formula information. 25.57 Section 25.57 Alcohol...TREASURY ALCOHOL BEER Miscellaneous Provisions Formulas § 25.57 Formula information. (a) Ingredient information....
27 CFR 25.57 - Formula information.
Code of Federal Regulations, 2012 CFR
2012-04-01
... 1 2012-04-01 2012-04-01 false Formula information. 25.57 Section 25.57 Alcohol...TREASURY LIQUORS BEER Miscellaneous Provisions Formulas § 25.57 Formula information. (a) Ingredient information....
Formulas for Image Factor Scores
ERIC Educational Resources Information Center
Hakstian, A. Ralph
1973-01-01
Formulas are presented in this paper for computing scores associated with factors of G, the image covariance matrix, under three conditions. The subject of the paper is restricted to "pure" image analysis. (Author/NE)
ERIC Educational Resources Information Center
Willson, William Wynne
1977-01-01
The author recommends the use of flow charting to help students understand the manipulation of algebraic formulae. He identifies some problems with flow charts and suggests an alternative method of constructing flow diagrams. (SD)
Quantum computing of semiclassical formulas
B. Georgeot; O. Giraud
2008-01-30
We show that semiclassical formulas such as the Gutzwiller trace formula can be implemented on a quantum computer more efficiently than on a classical device. We give explicit quantum algorithms which yield quantum observables from classical trajectories, and which alternatively test the semiclassical approximation by computing classical actions from quantum evolution. The gain over classical computation is in general quadratic, and can be larger in some specific cases.
Learning read-once formulas with queries
Dana Angluin; Lisa Hellerstein; Marek Karpinski
1993-01-01
A read-once formula is a Boolean formula in which each variable occurs, at most, once. Such formulas are also called ?-formulas or Boolean trees. This paper treats the problem of exactly identifying an unknown read-once formula using specific kinds of queries.The main results are a polynomial-time algorithm for exact identification of monotone read-once formulas using only membership queries, and a
NASA Technical Reports Server (NTRS)
2004-01-01
This projected mosaic image, taken by the microscopic imager, an instrument located on the Mars Exploration Rover Opportunity 's instrument deployment device, or 'arm,' shows the partial clotting or cement-like properties of the sand-sized grains within the trench wall. The area in this image measures approximately 3 centimeters (1.2 inches) wide and 5 centimeters (2 inches) tall.(This image also appears as an inset on a separate image from the rover's navigation camera, showing the location of this particular spot within the trench wall.)
NSDL National Science Digital Library
1998-01-01
Hadrian's Wall is an historical monument built by the Romans in Britain and spans more than 2,000 years of history. Standing as a "reminder of past glories of one of the world's greatest civilisations," the Wall is equipped with museums, forts, and events that bring Roman history to life. Designed by the World Heritage Site, this Web site offers tourist information (such as travel and hotel arrangements) for anyone interested in visiting this historical landmark that ranks along with the great wonders of the world.
Lozano-Robledo, Alvaro
Formulas & definitions to know Formulas & definitions that will be provided if needed Distance formula in 3 dimensions compab = aÂ·b |a| Equation of a sphere W = F Â· D (work, force, distance) Vector of differentiability for a function of two variables arc length formula, arc length function the graph of a function
Torsional stresses in box beams with cross sections partially restrained against warping
NASA Technical Reports Server (NTRS)
Ebner, Hans
1934-01-01
The present report gives a method for computing the torsion of boxes with thin shear-resistant or simply tension-resistant walls under any torsional load, support and dimension. The final stress condition is developed from that of a principal system with unconstrained sectional warping corresponding to Bredt's formula and an additional stress condition due to constrained cross-sectional warping. This is computed by means of the deflection condition of the principal system from a statically indeterminate calculation. Conformably, the torsional rigidity of the final system is derived from that of the principal system with unconstrained sectional buckling.
Transient Resistive Wall Wake for Very Short Bunches
Stupakov, G.; /SLAC
2005-05-13
The catch up distance for the resistive wall wake in a round pipe is approximately equal to the square of the pipe radius divided by the bunch length. The standard formulae for this wake are applicable at distances much larger than the catch up distance. In this paper, we calculate the resistive wall wake at distances compared with the catch up distance assuming a constant wall conductivity.
ERIC Educational Resources Information Center
McGinley, Connie Q.
2004-01-01
The author of this article, an art teacher at Monarch High School in Louisville, Colorado, describes how her experience teaching in a new school presented an exciting visual challenge for an art teacher--monotonous brick walls just waiting for decoration. This school experienced only minimal instances of graffiti, but as an art teacher, she did…
Some practical Runge-Kutta formulas
Lawrence F. Shampine
1986-01-01
A new selection is made of the most practical of the many explicit Runge-Kutta formulas of order 4 which have been proposed. A new formula is considered, formulas are modified to improve their quality and efficiency in agreement with improved understanding of the issues, and formulas are derived which permit interpolation. It is possible to do a lot better than
Readability Formulas--Fact or Fiction.
ERIC Educational Resources Information Center
Olson, Arthur V.
Four readability formulas were analyzed to determine the reading grade equivalence of instructional materials at the middle grades and above: the Dale-Chall formula, the Gunning-Fog Index, the Flesch Reading Ease Formula, and the McLaughlin SMOG Grading. In addition, Spache and Wheeler/Smith formulas were analyzed for evaluating primary grade…
Formula Budgeting: An Approach to Facilities Funding.
ERIC Educational Resources Information Center
McClintock, David L.
Formula budgeting for college and university facilities maintenance is recommended because: (1) formulas inject objectivity into the budgeting process by using quantified data; (2) formulas tend to improve the equitability of treatment of comparable institutions; (3) formulas are intended to provide adequate but economical budgets; and (4)…
PATTERNS, CONTINUED: VERIFYING FORMULAS DIRECT VERIFICATION
White, Donald L.
5 PATTERNS, CONTINUED: VERIFYING FORMULAS DIRECT VERIFICATION Some explicit formulas can be verified, or proved, by arguing directly using known formulas or by referring to geometric patterns of dots. The following activities are designed to construct proofs of some of the formulas we have
CLIMATE ACTION PLANNING TOOL FORMULAS AND ASSUMPTIONS
CLIMATE ACTION PLANNING TOOL FORMULAS AND ASSUMPTIONS Climate Action Planning Tool Formulas and Assumptions The Climate Action Planning Tool calculations use the following formulas and assumptions. This calculation also applies to the new buildings design technology option below. Formula Gas (Reduced Growth
A BDD Representation for Positive Equational Formulas
Stark, Eugene W.
A BDD Representation for Positive Equational Formulas Wenxin Song, Eugene W. Stark Department equational formula (PEF) is a negation-free open formula in the language of pure equality. In this paper, we present a nor- mal form for positive equational formulas that lends itself readily to the representation
The Harris-Jacobson Readability Formula A.
ERIC Educational Resources Information Center
Harris, Albert J.; Jacobson, Milton D.
This paper describes the Harris-Jacobson Readability Formula A, a revision of a readability formula based on word lists from "Basic Elementary Reading Vocabularies." Section one of the paper discusses procedures for using the formula, including the selection of samples, scoring the variables, and applying the formula. The next section discusses…
Down to Business - Rewriting Formulas
NSDL National Science Digital Library
2011-01-01
Students often do not see the point in solving formulas for a particular variable when there are no values given. This lab is not designed to teach how to solve literal equations, but rather to give students an understanding of why one might need to do so. This lab has students substitute values into the basic interest formula and then solve for the missing value. After solving several problems in this form, they solve the formula for that variable and then evaluate it by substituting in the given information. Students discover for themselves that it is sometimes better to solve for the variable first and then input the values when solving several problems for the same variable.
Surface diffuseness correction in global mass formula
Ning Wang; Min Liu; Xizhen Wu; Jie Meng
2014-05-12
By taking into account the surface diffuseness correction for unstable nuclei, the accuracy of the macroscopic-microscopic mass formula is further improved. The rms deviation with respect to essentially all the available mass data falls to 298 keV, crossing the 0.3 MeV accuracy threshold for the first time within the mean-field framework. Considering the surface effect of the symmetry potential which plays an important role in the evolution of the "neutron skin" toward the "neutron halo" of nuclei approaching the neutron drip line, we obtain an optimal value of the symmetry energy coefficient J=30.16 MeV. With an accuracy of 258 keV for all the available neutron separation energies and of 237 keV for the alpha-decay Q-values of super-heavy nuclei, the proposed mass formula is particularly important not only for the reliable description of the r-process of nucleosynthesis but also for the study of the synthesis of super-heavy nuclei.
Drude model and Lifshitz formula
M. Bordag
2011-10-21
Since nearly 10 years, it is known that inserting the permittivity of the Drude model into the Lifshitz formula for free energy causes a violation of the third law of thermodynamics. In this paper we show that the standard Matsubara formulation for free energy contains a contribution that is non-perturbative in the relaxation parameter. We argue that the correct formula must have a perturbative expansion and conclude that the standard Matsubara formulation with the permittivity of the Drude model inserted is not correct. We trace the non-perturbative contribution in the complex frequency plane, where it shows up as a self-intersection or a bifurcation of the integration path.
Anomalous Transport from Kubo Formulae
NASA Astrophysics Data System (ADS)
Landsteiner, Karl; Megías, Eugenio; Peña-Benitez, Francisco
Chiral anomalies have profound impact on the transport properties of relativistic fluids. In four dimensions there are different types of anomalies, pure gauge and mixed gauge-gravitational anomalies. They give rise to two new non-dissipative transport coefficients, the chiral magnetic conductivity and the chiral vortical conductivity. They can be calculated from the microscopic degrees of freedom with the help of Kubo formulae. We review the calculation of the anomalous transport coefficients via Kubo formulae with a particular emphasis on the contribution of the mixed gauge-gravitational anomaly.
Anomalous Transport from Kubo Formulae
Karl Landsteiner; Eugenio Megias; Francisco Pena-Benitez
2012-08-08
Chiral anomalies have profound impact on the transport properties of relativistic fluids. In four dimensions there are different types of anomalies, pure gauge and mixed gauge-gravitational anomalies. They give rise to two new non-dissipative transport coefficients, the chiral magnetic conductivity and the chiral vortical conductivity. They can be calculated from the microscopic degrees of freedom with the help of Kubo formulae. We review the calculation of the anomalous transport coefficients via Kubo formulae with a particular emphasis on the contribution of the mixed gauge-gravitational anomaly.
Anomalous Transport from Kubo Formulae
Landsteiner, Karl; Pena-Benitez, Francisco
2012-01-01
Chiral anomalies have profound impact on the transport properties of relativistic fluids. In four dimensions there are different types of anomalies, pure gauge and mixed gauge-gravitational anomalies. They give rise to two new non-dissipative transport coefficients, the chiral magnetic conductivity and the chiral vortical conductivity. They can be calculated from the microscopic degrees of freedom with the help of Kubo formulae. We review the calculation of the anomalous transport coefficients via Kubo formulae with a particular emphasis on the contribution of the mixed gauge-gravitational anomaly.
Analytical skin friction and heat transfer formula for compressible internal flows
NASA Technical Reports Server (NTRS)
Dechant, Lawrence J.; Tattar, Marc J.
1994-01-01
An analytic, closed-form friction formula for turbulent, internal, compressible, fully developed flow was derived by extending the incompressible law-of-the-wall relation to compressible cases. The model is capable of analyzing heat transfer as a function of constant surface temperatures and surface roughness as well as analyzing adiabatic conditions. The formula reduces to Prandtl's law of friction for adiabatic, smooth, axisymmetric flow. In addition, the formula reduces to the Colebrook equation for incompressible, adiabatic, axisymmetric flow with various roughnesses. Comparisons with available experiments show that the model averages roughly 12.5 percent error for adiabatic flow and 18.5 percent error for flow involving heat transfer.
Moebius inversion formula and inverting lattice sums
NASA Astrophysics Data System (ADS)
Millane, Rick P.
2000-11-01
The Mobius inversion formula is an interesting theorem from number theory that has application to a number inverse problems, particularly lattice problems. Specific inverse problems, however, often require related Mobius inversion formulae that can be derived from the fundamental formula. Derivation of such formulae is not easy for the non- specialist, however. Examples of the kinds of inversion formulae that can be derived and their application to inverse lattice problems are described.
A KTHEORY VERSION OF MONK'S FORMULA AND SOME RELATED MULTIPLICATION FORMULAS
Lenart, Cristian
A KÂTHEORY VERSION OF MONK'S FORMULA AND SOME RELATED MULTIPLICATION FORMULAS CRISTIAN LENART This paper is dedicated to Camelia. Abstract. We derive an explicit formula, with no cancellationsÂtype formula, expressing the hyperplane section of a Schubert variety in KÂtheory. Our formula is in terms
Developing the Vertex Formula Meaningfully
ERIC Educational Resources Information Center
Nebesniak, Amy L.; Burgoa, A. Aaron
2015-01-01
As teachers working with students in entry-level algebra classes, authors Amy Nebesniak and A. Aaron Burgoa realized that their instruction was a major factor in how their students viewed mathematics. They often presented students with abstract formulas that seemed to appear out of thin air. One instance occurred while they were teaching students…
John H. Grabber; John Ralph; Catherine Lapierre
Lignification limits grass cell-wall digestion by herbivores. Lignification is spatially and temporally regulated, and lignin characteristics differ between cell walls, plant tissues, and plant parts. Grass lignins are anchored within walls by ferulate and diferulate cross-links, p-coumarate cyclodimers, and possibly benzyl ester and ether cross-links. Cell-wall degradability is regulated by lignin concentration, cross-linking, and hydrophobicity but not directly by most
1979-01-01
The invention discloses an inexpensive, thoroughly insulated upright-wall, ceiling, floor or roof, made of panels fastened together along contacting panel edges. Each panel has a can-supporting, substantially planar element (a sheet of plywood, masonite, plastic, metal lath, or the like), reinforcing bars defining outer edges of the panel, layers of cans between the reinforcing bars, wire or plastic panel-reinforcing network
A recurrence formula for shear-lag problems
NASA Technical Reports Server (NTRS)
Kuhn, Paul
1939-01-01
The analysis of the bending action in box beams with appreciable shear deformation of the flanges becomes very difficult in the general case of variable cross section and loading. This paper presents a convenient method of solving the problem by the familiar method of dividing the beam into a number of bays that can be assumed to have constant cross section and loading. Application of formerly derived shear-lag formulas leads to a general equation closely analogous in form to the well-known three-moment equation. A numerical example and two comparisons between calculation and experimental results are included.
Discretization formulas for unstructured grids
NASA Astrophysics Data System (ADS)
Baumeister, Kenneth J.
The Galerkin weighted residual technique using linear triangular weight functions is employed to develop finite difference formula in cartesian coordinates for the Laplacian operator, first derivative operators and the function for unstructured triangular grids. The weighted residual coefficients associated with the weak formulation of the Laplacian operator are shown to agree with the Taylor series approach on a global average. In addition, a simple algorithm is presented to determine the Voronoi (finite difference) area of an unstructured grid.
Casimir effect: The TGTG formula
NASA Astrophysics Data System (ADS)
Klich, Israel; Kenneth, Oded
2009-04-01
The representation of the Casimir energy in terms of Lippmann-Schwinger operators in the TGTG formula is a convenient way to address both quantitative and qualitative aspects of the Casimir force. Since this form of the energy is already explicitly regularized it may be used in order to prove statements about the force. In addition, combined with approximations of the T operators involved, it allows for convergent asymptotic expressions for the force between bodies.
Discretization formulas for unstructured grids
NASA Technical Reports Server (NTRS)
Baumeister, Kenneth J.
1988-01-01
The Galerkin weighted residual technique using linear triangular weight functions is employed to develop finite difference formula in cartesian coordinates for the Laplacian operator, first derivative operators and the function for unstructured triangular grids. The weighted residual coefficients associated with the weak formulation of the Laplacian operator are shown to agree with the Taylor series approach on a global average. In addition, a simple algorithm is presented to determine the Voronoi (finite difference) area of an unstructured grid.
Analytical formulas for gravitational lensing
Paolo Amore; Santiago Arceo Diaz
2006-03-21
In this paper we discuss a new method which can be used to obtain arbitrarily accurate analytical expressions for the deflection angle of light propagating in a given metric. Our method works by mapping the integral into a rapidly convergent series and provides extremely accurate approximations already to first order. We have derived a general first order formula for a generic spherically symmetric static metric tensor and we have tested it in four different cases.
Intensity formulas for triplet bands
NASA Technical Reports Server (NTRS)
Budo, A.
1982-01-01
Previous work in this area is surveyed and the mathematics involved in determining the quantitative intensity measurements in triplet bands is presented. Explicit expressions for the intensity distribution in the branches of the 3 Sigma-3 Pi and 1 Sigma-3Pi bands valid for all values of the coupling constant Y of the 3 Pi terms are given. The intensity distribution calculated according to the formulas given is compared with measurements of PH, 3 Pi-3 Sigma. Good quantitative agreement is obtained.
10 CFR 905.33 - Extension formula.
Code of Federal Regulations, 2010 CFR
2010-01-01
...2010-01-01 false Extension formula. 905.33 Section 905.33 Energy DEPARTMENT OF ENERGY ENERGY PLANNING AND MANAGEMENT PROGRAM Power Marketing Initiative § 905.33 Extension formula. (a) The amount of power to...
Simple and Clear Proofs of Stirling's Formula
ERIC Educational Resources Information Center
Niizeki, Shozo; Araki, Makoto
2010-01-01
The purpose of our article is to show two simpler and clearer methods of proving Stirling's formula than the traditional and conventional ones. The distinction of our method is to use the simple trapezoidal formula.
A COMBINATORIAL FORMULA FOR NONSYMMETRIC MACDONALD POLYNOMIALS
Haiman, Mark D.
A COMBINATORIAL FORMULA FOR NONÂSYMMETRIC MACDONALD POLYNOMIALS J. HAGLUND, M. HAIMAN, AND N. LOEHR fellowship DMSÂ0303178 (N.L.). 1 #12; 2 J. HAGLUND, M. HAIMAN, AND N. LOEHR The proof of our formula uses
Distance Formula (length of a segment)
NSDL National Science Digital Library
Mrs. Neubert
2011-08-24
This lesson will teach you how to find the length of a segment using the distance formula. Use the following link to learn the distance formula: Distance Formula (Length of a Line Segment) Now for some practice. Do problems 1-4 on the following practice quiz: Distance Formula Practice OK! You are set for the homework! Assignment #4 on the following link: Class Zone Geometry Textbook ...
ANTIGAUSSIAN QUADRATURE FORMULAS DIRK P. LAURIE
Laurie, Dirk
ANTIÂGAUSSIAN QUADRATURE FORMULAS DIRK P. LAURIE Abstract. An antiÂGaussian quadrature formula is an (n + 1)Âpoint formula of deÂ gree 2n \\Gamma 1 which integrates polynomials of degree up to 2n + 1 with an error equal in magnitude but of opposite sign to that of the nÂpoint Gaussian formula. Its intenÂ ded
Eva Frei; R. D. Preston
1961-01-01
The side walls of filaments of Chaetomorpha melagonium, Ch. princeps, Cladophora prolifera and Cl. rupestris are examined to detect changes in the crossed-microfibrillar structure associated with cell extension, using X-ray diffraction analysis together with light and electron microscopy. It is demonstrated that the outermost wall layers may be cracked or even torn apart so that the wall must be stretched
Sabina I. Belli; Michael G. Wallach; Catherine Luxford; Michael J. Davies; Nicholas C. Smith
2003-01-01
The oocyst wall of apicomplexan parasites protects them from the harsh external environment, preserving their survival prior to transmission to the next host. If oocyst wall formation could be disrupted, then logically, the cycle of disease transmission could be stopped, and strategies to control infection by several organisms of medical and veterinary importance such as Eimeria, Plasmodium, Toxoplasma, Cyclospora, and
The Funding of Community Colleges: Formulas & Governance
ERIC Educational Resources Information Center
Mullin, Christopher M.; Honeyman, David S.
2008-01-01
This study identified governing state entities charged with the development of a funding formula for community colleges. Analysis of the data revealed that 40 states utilized a funding formula. Twenty-one states had a "Higher Education" entity with governing control of the formula, 5 states had a "Community College" entity with distinct funding…
A Resolution Method for Quantified Boolean Formulas
Eckmiller, Rolf
A Resolution Method for Quantified Boolean Formulas Marek Karpinski \\Lambda Department of Computer formulas is presented. If we restrict the resolution to unit resolution, then the completeness and soundness for extended quantified Horn formulas is shown. We prove that the truth of a quantified Horn
Student Learning Centre Working with Formulas
Student Learning Centre 1 of 3 Working with Formulas In chemistry, like most sciences, you will work a lot with formulas full of symbols. At first this can be quite intimidating, but once you have figured out how to work with formulas you'll find they are a great help to you in solving real
Code of Federal Regulations, 2013 CFR
2013-04-01
... 2013-04-01 2013-04-01 false Formula. 20.91 Section 20.91 Alcohol...DISTRIBUTION AND USE OF DENATURED ALCOHOL AND RUM Formulas and Statements of Process § 20.91 Formula. (a) Each article made with...
Prove Properties by Induction on Formulas
Guttman, Joshua
How to Prove Properties by Induction on Formulas Joshua D. Guttman Worcester Polytechnic Institute January 23, 2010 Formulas are finite, recursively generated objects, and therefore we can prove properties about all formulas using structural induction. "Structural induction" refers to induction principles
Code of Federal Regulations, 2010 CFR
2010-04-01
... 2010-04-01 2010-04-01 false Formula. 20.91 Section 20.91 Alcohol...DISTRIBUTION AND USE OF DENATURED ALCOHOL AND RUM Formulas and Statements of Process § 20.91 Formula. (a) Each article made with...
Embedded Formulas Extraction ENSI-RIADI-Tunisia
BelaÃ¯d, Abdel
Embedded Formulas Extraction A. KACEM ENSI-RIADI-Tunisia akacem@isg.rnu.tn A. BELAID LORIA, it is more oriented toward the segmentation than the recognition, isolating the formulas outside and inside trained for formula recognition and restructuring. The method is based on an adaptive segmentation working
Subclasses of Quantified Boolean Formulas Andreas Flogel
Eckmiller, Rolf
Subclasses of Quantified Boolean Formulas Andreas FlÂ¨ogel Department of Computer Science University of the authors, for certain subclasses of quantified Boolean formulas it is shown, that the evalution problem is coNPÂcomplete. These subclasses can be seen as extensions of Horn and 2ÂCNF formulas. Further
Code of Federal Regulations, 2014 CFR
2014-04-01
... 2014-04-01 2014-04-01 false Formula. 20.91 Section 20.91 Alcohol...DISTRIBUTION AND USE OF DENATURED ALCOHOL AND RUM Formulas and Statements of Process § 20.91 Formula. (a) Each article made with...
Code of Federal Regulations, 2011 CFR
2011-04-01
... 2011-04-01 2011-04-01 false Formula. 20.91 Section 20.91 Alcohol...DISTRIBUTION AND USE OF DENATURED ALCOHOL AND RUM Formulas and Statements of Process § 20.91 Formula. (a) Each article made with...
Code of Federal Regulations, 2012 CFR
2012-04-01
... 2012-04-01 2012-04-01 false Formula. 20.91 Section 20.91 Alcohol...DISTRIBUTION AND USE OF DENATURED ALCOHOL AND RUM Formulas and Statements of Process § 20.91 Formula. (a) Each article made with...
A Quick Guide to Readability Formulas.
ERIC Educational Resources Information Center
Cramer, Eugene H.
1978-01-01
Six of the most widely used readability scales are briefly reviewed and their original source cited: the Dale-Chall Readability Formula, the Flesch "Reading Ease" Formula, the Fog Index, the Fry Readability Graph, the SMOG Grading Plan, and the Spache Readability Formula. (SJL)
On the Construction of Generalised Bobillier Formula
Tulay Erisir; Mehmet Ali Gungor; Soley Ersoy
2015-03-05
In this paper, one-parameter planar motion in the generalised complex plane (or p-complex plane) ${C_p} = \\left\\{ {x + iy: x,y \\in R, {i^2} = p} \\right\\}$ which is defined as a system of generalised complex numbers is studied. Firstly, generalised Bobillier formula is obtained by using the geometric interpretation of generalised Euler-Savary formula in the p-complex plane. Moreover, it is shown that the Bobillier formula may be obtained by an alternative method without the use of Euler-Savary formula in the generalised complex plane. Thus, this formula generalises the complex, hyperbolic and Galilean cases.
Random vibration of compliant wall
NASA Technical Reports Server (NTRS)
Yang, J.-N.; Heller, R. A.
1976-01-01
The paper is concerned with the realistic case of two-dimensional random motion of a membrane with bending stiffness supported on a viscoelastic spring substrate and on an elastic base plate under both subsonic and supersonic boundary layer turbulence. The cross-power spectral density of surface displacements is solved in terms of design variables of the compliant wall - such as the dimensions and material properties of the membrane (Mylar), substrate (PVC foam), and panel (aluminum) - so that a sensitivity analysis can be made to examine the influence of each design variable on the surface response statistics. Three numerical examples typical of compliant wall design are worked out and their response statistics in relation to wave drag and roughness drag are assessed. The results can serve as a guideline for experimental investigation of the drag reduction concept through the use of a compliant wall.
OCT assessment of aortic wall degradation for surgical guidance
NASA Astrophysics Data System (ADS)
Real, E.; Val-Bernal, J. F.; Pontón, A.; Calvo Díez, M.; Mayorga, M.; Revuelta, J. M.; López-Higuera, J. M.; Conde, O. M.
2014-05-01
The degradation of the wall in large cardiovascular vessels, such as the aorta artery, induces weakness in the vessel that can lead to the formation of aneurysms and the rupture of the vessel. Characterization of the wall integrity is assessed by OCT for future intraoperative assistance in aneurysm graft surgery interventions. Optical Coherence Tomography (OCT) provides cross sectional images of the wall of the aortic media layer. Wall degradations appear as spatial anomalies in the reflectivity profile through the wall thickness. Wall degradation assessment is proposed by automatic identification and dimensioning of these anomalies within the homogeneous surrounding tissue.
Gregory Lapicki
2009-01-01
Over the last two decades, Lalpha x-ray production cross sections have been fitted with a number of empirical formulae. Cross sections obtained from these formulae are averaged and fitted to a new empirical formula. These new empirical cross sections are compared with the results of the plane-wave Born approximation and the ECPSSR theory of Brandt and Lapicki (1981 Phys. Rev.
27 CFR 26.55 - Previously approved formulas.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 false Previously approved formulas. 26.55 Section 26.55 Alcohol...PUERTO RICO AND THE VIRGIN ISLANDS Formulas for Products From Puerto Rico § 26.55 Previously approved formulas. Any formula approved on...
24 CFR 990.110 - Operating fund formula.
Code of Federal Regulations, 2011 CFR
2011-04-01
... 2011-04-01 false Operating fund formula. 990.110 Section 990.110 Housing...FUND PROGRAM Purpose, Applicability, Formula, and Definitions § 990.110 Operating fund formula. (a) General formula. (1)...
27 CFR 26.55 - Previously approved formulas.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 false Previously approved formulas. 26.55 Section 26.55 Alcohol...PUERTO RICO AND THE VIRGIN ISLANDS Formulas for Products From Puerto Rico § 26.55 Previously approved formulas. Any formula approved on...
24 CFR 990.110 - Operating fund formula.
Code of Federal Regulations, 2012 CFR
2012-04-01
... 2012-04-01 false Operating fund formula. 990.110 Section 990.110 Housing...FUND PROGRAM Purpose, Applicability, Formula, and Definitions § 990.110 Operating fund formula. (a) General formula. (1)...
27 CFR 17.137 - Formulas disapproved for drawback.
Code of Federal Regulations, 2014 CFR
2014-04-01
... 2014-04-01 2014-04-01 false Formulas disapproved for drawback. 17.137 Section...USED IN MANUFACTURING NONBEVERAGE PRODUCTS Formulas and Samples Approval of Formulas § 17.137 Formulas disapproved for...
27 CFR 21.24 - Formula No. 20.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 20. 21.24 Section 21.24...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Completely Denatured Alcohol Formulas § 21.24 Formula No. 20....
24 CFR 990.110 - Operating fund formula.
Code of Federal Regulations, 2010 CFR
2010-04-01
... 2010-04-01 false Operating fund formula. 990.110 Section 990.110 Housing...FUND PROGRAM Purpose, Applicability, Formula, and Definitions § 990.110 Operating fund formula. (a) General formula. (1)...
27 CFR 21.24 - Formula No. 20.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 20. 21.24 Section 21.24...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Completely Denatured Alcohol Formulas § 21.24 Formula No. 20....
24 CFR 990.110 - Operating fund formula.
Code of Federal Regulations, 2013 CFR
2013-04-01
... 2013-04-01 false Operating fund formula. 990.110 Section 990.110 Housing...FUND PROGRAM Purpose, Applicability, Formula, and Definitions § 990.110 Operating fund formula. (a) General formula. (1)...
27 CFR 17.137 - Formulas disapproved for drawback.
Code of Federal Regulations, 2010 CFR
2010-04-01
... 2010-04-01 2010-04-01 false Formulas disapproved for drawback. 17.137 Section...USED IN MANUFACTURING NONBEVERAGE PRODUCTS Formulas and Samples Approval of Formulas § 17.137 Formulas disapproved for...
27 CFR 26.55 - Previously approved formulas.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 false Previously approved formulas. 26.55 Section 26.55 Alcohol...PUERTO RICO AND THE VIRGIN ISLANDS Formulas for Products From Puerto Rico § 26.55 Previously approved formulas. Any formula approved on...
27 CFR 21.24 - Formula No. 20.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 20. 21.24 Section 21.24...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Completely Denatured Alcohol Formulas § 21.24 Formula No. 20....
24 CFR 990.110 - Operating fund formula.
Code of Federal Regulations, 2014 CFR
2014-04-01
... 2014-04-01 false Operating fund formula. 990.110 Section 990.110 Housing...FUND PROGRAM Purpose, Applicability, Formula, and Definitions § 990.110 Operating fund formula. (a) General formula. (1)...
27 CFR 26.55 - Previously approved formulas.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 false Previously approved formulas. 26.55 Section 26.55 Alcohol...PUERTO RICO AND THE VIRGIN ISLANDS Formulas for Products From Puerto Rico § 26.55 Previously approved formulas. Any formula approved on...
27 CFR 17.137 - Formulas disapproved for drawback.
Code of Federal Regulations, 2013 CFR
2013-04-01
... 2013-04-01 2013-04-01 false Formulas disapproved for drawback. 17.137 Section...USED IN MANUFACTURING NONBEVERAGE PRODUCTS Formulas and Samples Approval of Formulas § 17.137 Formulas disapproved for...
27 CFR 17.137 - Formulas disapproved for drawback.
Code of Federal Regulations, 2011 CFR
2011-04-01
... 2011-04-01 2011-04-01 false Formulas disapproved for drawback. 17.137 Section...USED IN MANUFACTURING NONBEVERAGE PRODUCTS Formulas and Samples Approval of Formulas § 17.137 Formulas disapproved for...
27 CFR 26.225 - Previously approved formulas.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 false Previously approved formulas. 26.225 Section 26.225...PUERTO RICO AND THE VIRGIN ISLANDS Formulas for Products From the Virgin Islands § 26.225 Previously approved formulas. Any formula approved on...
27 CFR 26.225 - Previously approved formulas.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 false Previously approved formulas. 26.225 Section 26.225...PUERTO RICO AND THE VIRGIN ISLANDS Formulas for Products From the Virgin Islands § 26.225 Previously approved formulas. Any formula approved on...
27 CFR 26.55 - Previously approved formulas.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 false Previously approved formulas. 26.55 Section 26.55 Alcohol...PUERTO RICO AND THE VIRGIN ISLANDS Formulas for Products From Puerto Rico § 26.55 Previously approved formulas. Any formula approved on...
27 CFR 21.24 - Formula No. 20.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 20. 21.24 Section 21.24...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Completely Denatured Alcohol Formulas § 21.24 Formula No. 20....
27 CFR 26.225 - Previously approved formulas.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 false Previously approved formulas. 26.225 Section 26.225...PUERTO RICO AND THE VIRGIN ISLANDS Formulas for Products From the Virgin Islands § 26.225 Previously approved formulas. Any formula approved on...
27 CFR 17.137 - Formulas disapproved for drawback.
Code of Federal Regulations, 2012 CFR
2012-04-01
... 2012-04-01 2012-04-01 false Formulas disapproved for drawback. 17.137 Section...USED IN MANUFACTURING NONBEVERAGE PRODUCTS Formulas and Samples Approval of Formulas § 17.137 Formulas disapproved for...
27 CFR 21.24 - Formula No. 20.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Formula No. 20. 21.24 Section 21.24...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Completely Denatured Alcohol Formulas § 21.24 Formula No. 20....
27 CFR 26.225 - Previously approved formulas.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 false Previously approved formulas. 26.225 Section 26.225...PUERTO RICO AND THE VIRGIN ISLANDS Formulas for Products From the Virgin Islands § 26.225 Previously approved formulas. Any formula approved on...
27 CFR 26.225 - Previously approved formulas.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 false Previously approved formulas. 26.225 Section 26.225...PUERTO RICO AND THE VIRGIN ISLANDS Formulas for Products From the Virgin Islands § 26.225 Previously approved formulas. Any formula approved on...
Stability of Thin-Walled Tubes Under Torsion
NASA Technical Reports Server (NTRS)
Donnell, L H
1935-01-01
In this report a theoretical solution is developed for the torsion on a round thin-walled tube for which the walls become unstable. The results of this theory are given by a few simple formulas and curves which cover all cases. The differential equations of equilibrium are derived in a simpler form than previously found, it being shown that many items can be neglected.
Frame based formulas for intermediate logics Nick Bezhanishvili
Bezhanishvili, Nick
Frame based formulas for intermediate logics Nick Bezhanishvili Abstract In this paper we define a new notion of frame based formulas. We show that the well-known examples of formulas arising from a finite frame, such as the Jankov-de Jongh formulas, subframe formulas and cofinal subframe formulas
Black hole interior mass formula
NASA Astrophysics Data System (ADS)
Pradhan, Parthapratim
2014-05-01
We argue by explicit computations that, although the area product, horizon radii product, entropy product, and irreducible mass product of the event horizon and Cauchy horizon are universal, the surface gravity product, the surface temperature product and the Komar energy product of the said horizons do not seem to be universal for Kerr-Newman black hole spacetimes. We show the black hole mass formula on the Cauchy horizon following the seminal work by Smarr [Phys Rev Lett 30:71 (1973), Phys Rev D 7:289 (1973)] for the outer horizon. We also prescribe the four laws of black hole mechanics for the inner horizon. A new definition of the extremal limit of a black hole is discussed.
Black Hole Interior Mass Formula
Parthapratim Pradhan
2014-05-06
We argue by explicit computations that, although the area product, horizon radii product, entropy product and \\emph {irreducible mass product} of the event horizon and Cauchy horizon are universal, the \\emph{surface gravity product}, \\emph{surface temperature product} and \\emph{Komar energy product} of the said horizons do not seem to be universal for Kerr-Newman (KN) black hole space-time. We show the black hole mass formula on the \\emph{Cauchy horizon} following the seminal work by Smarr\\cite{smarr} for the outer horizon. We also prescribed the \\emph{four} laws of black hole mechanics for the \\emph{inner horizon}. New definition of the extremal limit of a black hole is discussed.
Rainfall intensity-duration-frequency formulas.
Chen, C.-L.
1983-01-01
A new general rainfall intensity-duration-frequency formula is presented, utilizing a method similar to, but more accurate than one previously developed. The previously developed formula was based on the average depth-duration ratio of about 40% and the mean depth-frequency ratio of 1.48. It is shown that this formula is only a particular form of the writer's more general formulation. -from Author
A COMBINATORIAL FORMULA FOR MACDONALD POLYNOMIALS
J. HAGLUND; M. HAIMAN; N. LOEHR
2005-01-01
We prove a combinatorial formula for the Macdonald polynomial ˜ Hµ(x;q,t) which had been conjectured by the first author. Corollaries to our main theorem include the expansion of ˜ Hµ(x;q,t) in terms of LLT polynomials, a new proof of the charge formula of Lascoux and Schutzenberger for Hall-Littlewood polynomials, a new proof of Knop and Sahi's combinatorial formula for Jack
White, Donald L.
3 PATTERNS, CONTINUED: EXPLICIT FORMULAS An explicit formula is a formula that enables you to compute any given term in a pattern without knowing the previous term; that is, a formula giving the nth term in terms of n. In the example of {4, 11, 18, 25, 32...}, we might use the formula 4 + 7(n -1
Superfluid Kubo formulas from partition function
NASA Astrophysics Data System (ADS)
Chapman, Shira; Hoyos, Carlos; Oz, Yaron
2014-04-01
Linear response theory relates hydrodynamic transport coefficients to equilibrium retarded correlation functions of the stress-energy tensor and global symmetry currents in terms of Kubo formulas. Some of these transport coefficients are non-dissipative and affect the fluid dynamics at equilibrium. We present an algebraic framework for deriving Kubo formulas for such thermal transport coefficients by using the equilibrium partition function. We use the framework to derive Kubo formulas for all such transport coefficients of superfluids, as well as to rederive Kubo formulas for various normal fluid systems.
Elastic properties of single-walled carbon nanotubes
V. N. Popov; V. E. Van Doren; M. Balkanski
2000-01-01
Analytical expressions for the velocities of the longitudinal and the torsional sound waves in single-walled carbon nanotubes are derived using Born's perturbation technique within a lattice-dynamical model. These expressions are compared to the formulas for the velocities of the sound waves in an elastic hollow cylinder from the theory of elasticity to obtain analytical expressions for the Young's and shear
Domain wall motion in thin ferromagnetic nanotubes: Analytic results
NASA Astrophysics Data System (ADS)
Goussev, Arseni; Robbins, J. M.; Slastikov, Valeriy
2014-03-01
Dynamics of magnetization domain walls (DWs) in thin ferromagnetic nanotubes subject to weak longitudinal external fields is addressed analytically in the regimes of strong and weak penalization. Exact solutions for the DW profiles and formulas for the DW propagation velocity are derived in both regimes. In particular, the DW speed is shown to depend nonlinearly on the nanotube radius.
Mullenhoff, D.J.; Johnston, B.C.; Azevedo, S.G.
1996-02-22
A report is made on the demonstration of a first-generation Wall Surveyor that is capable of surveying the interior and thickness of a stone, brick, or cement wall. LLNL`s Micropower Impulse Radar is used, based on emitting and detecting very low amplitude and short microwave impulses (MIR rangefinder). Six test walls were used. While the demonstrator MIR Wall Surveyor is not fieldable yet, it has successfully scanned the test walls and produced real-time images identifying the walls. It is planned to optimize and package the evaluation wall surveyor into a hand held unit.
NASA Technical Reports Server (NTRS)
Newman, Perry A.; Mineck, Raymond E.; Barnwell, Richard W.; Kemp, William B., Jr.
1986-01-01
About a decade ago, interest in alleviating wind tunnel wall interference was renewed by advances in computational aerodynamics, concepts of adaptive test section walls, and plans for high Reynolds number transonic test facilities. Selection of NASA Langley cryogenic concept for the National Transonic Facility (NTF) tended to focus the renewed wall interference efforts. A brief overview and current status of some Langley sponsored transonic wind tunnel wall interference research are presented. Included are continuing efforts in basic wall flow studies, wall interference assessment/correction procedures, and adaptive wall technology.
NASA Technical Reports Server (NTRS)
Braam, J.; McIntire, L. V. (Principal Investigator)
1999-01-01
The plant cell wall is very complex, both in structure and function. The wall components and the mechanical properties of the wall have been implicated in conveying information that is important for morphogenesis. Proteoglycans, fragments of polysaccharides and the structural integrity of the wall may relay signals that influence cellular differentiation and growth control. Furthering our knowledge of cell wall structure and function is likely to have a profound impact on our understanding of how plant cells communicate with the extracellular environment.
Harms, Kyle E.
[ ]February 2014 PROBLEM The original 1957 Gates pile driving formula is an empirically derived dynamic formula that is used to predict pile capacity in the field during pile installation.The original Gates formula tends to over-predict pile capacity for low driving resistances and under-predict pile
An asymptotic formula for the Koornwinder polynomials
NASA Astrophysics Data System (ADS)
van Diejen, J. F.
2005-06-01
A formula for the large-degree asymptotics of Koornwinder's multivariate Askey-Wilson polynomials is presented. In the special case of a single variable, this asymptotic formula agrees with the known leading asymptotics of the Askey-Wilson polynomials determined by Ismail and Wilson.
Geometric estimates for the trace formula
Werner Homann
In order to study the asymptotic distribution of geometric or spectral data associated with quotients of a reductive group by a lattice, one needs a trace formula for test functions on that group with noncompact support. Arthur has proved a trace formula for compactly supported test functions on reductive groups of arbitrary rank. We show that the coarse geometric expansion
Unified Distance Formulas for Halfspace Fog
Eric Lengyel
2007-01-01
In many real-time rendering applications, it is necessary to model a fog volume that is bounded by a single plane but is otherwise infinite in extent. This paper presents unified formulas that provide the correct distance traveled through a fog halfspace for all possible camera and surface point locations. Such formulas effectively remove the need to code for multiple cases
The Processing of Malformed Formulaic Language
ERIC Educational Resources Information Center
Millar, Neil
2011-01-01
The prevalence of formulaicity in naturally occurring language use points to an important role in the way language is acquired, processed, and used. It is widely recommended that second-language instruction should ensure that learners develop a rich repertoire of formulaic sequences. If this is justified, it follows that learner failure to use…
A Choice of a New Funding Formula
ERIC Educational Resources Information Center
Hancock, Kenneth
2008-01-01
This report examines the fiscal neutrality of three funding formulas that have been proposed to replace the current funding formula for Oklahoma's common schools in an attempt to have greater equity in the distribution of funds to the various districts. Using data from SY-03 to SY-07, calculations of state aid for the 540- districts and fiscal…
A Partition Formula for Fibonacci Numbers
Philipp Fahr; Claus Michael Ringerl
2008-01-01
We present a partition formula for the even index Fibonacci numbers. The formula is motivated by the appearance of these Fibonacci numbers in the representation theory of the socalled 3-Kronecker quiver, i.e., the oriented graph with two vertices and three arrows in the same direction.
Predicting Overtime with the Pythagorean Formula
Jason W. Rosenfeld; Jake I. Fisher; Daniel Adler; Carl Morris
2010-01-01
In 1980, Bill James created the Pythagorean win expectation formula with a somewhat counterintuitive idea in mind. James believed, and his formula proved, that a baseball team's current runs scored to runs allowed ratio was better than a team's current record at predicting a team's future winning percentage. The rationale was that the outcomes of close games, which factor prominently
Formulas for sediment porosity and settling velocity
Technology Transfer Automated Retrieval System (TEKTRAN)
The formulas of Komura (1963) and Han et al. (1981) for the initial porosity of sediment deposits were tested using data sets collected in different countries and regions. It was found that Komura’s formula slightly underestimates the dry density for sand and gravel deposits and overestimates those ...
Emergence String and Mass Formulas of Hadrons
Yi-Fang Chang
2011-07-19
Assume that hadrons are formed from the emergence string. Usual string should possess two moving states: oscillation and rotation, so we propose corresponding potential and the equation of the emergence string, whose energy spectrum is namely the GMO mass formula and its modified accurate mass formula. These are some relations between the string and observable experimental data.
On Turing's formula for word probabilities
Arthur Nádas
1985-01-01
A. M. Turing, in a 1941 personal communication to I. J. Good, suggested a formula for estimating probabilities of words in text and, more generally, of species in a mixed population of various species. It is remarkable that Turing's formula can be obtained by significantly different statistical methods; we compare three ways to obtain it.
Lewis Carroll's Formula for Calendar Calculating.
ERIC Educational Resources Information Center
Spitz, Herman H.
1993-01-01
This paper presents Lewis Carroll's formula for mentally calculating the day of the week of a given date. The paper concludes that such formulas are too complex for individuals of low intelligence to learn by themselves, and thus "idiots savants" who perform such calendar calculations must be using other systems. (JDD)
ON LOBACHEVSKY'S TRIGONOMETRIC FORMULAE ATHANASE PAPADOPOULOS
Paris-Sud XI, UniversitÃ© de
developed a large set of analytical and geometrical theorems in non-Euclidean geometry using these formulae classification: 01-99 ; 53-02 ; 53-03 ; 53A35. Keywords: Lobachevsky geometry ; non-Euclidean geometry ; hyper- bolic geometry ; non-Euclidean trigonometric formulae ; models of hy- perbolic space ; horosphere
The relation between the waveguide and overlap implementations of Kaplan's domain wall fermions
NASA Astrophysics Data System (ADS)
Golterman, Maarten F. L.; Shamir, Yigal
1995-02-01
Recently, Narayanan and Neuberger proposed that the fermion determinant for a lattice chiral gauge theory be defined by an overlap formula. The motivation for that formula comes from Kaplan's five-dimensional lattice domain wall fermions. In the case that the target continuum theory contains 4 n chiral families, we show that the effective action defined by overlap formula is identical to the effective action of a modified waveguide model that has extra bosonic ghost fields. This raises serious questions about the viability of the overlap formula for defining chiral gauge theories on the lattice.
Cauchy's formulas for random walks in bounded domains
Mazzolo, Alain, E-mail: alain.mazzolo@cea.fr; Zoia, Andrea, E-mail: andrea.zoia@cea.fr [CEA/Saclay, DEN/DANS/DM2S/SERMA/LTSD, 91191 Gif-sur-Yvette (France); Mulatier, Clélia de, E-mail: clelia.demulatier@cea.fr [CEA/Saclay, DEN/DANS/DM2S/SERMA/LTSD, 91191 Gif-sur-Yvette and CNRS - Université Paris-Sud, LPTMS, UMR8626, 91405 Orsay Cedex (France)
2014-08-15
Cauchy's formula was originally established for random straight paths crossing a body B?R{sup n} and basically relates the average chord length through B to the ratio between the volume and the surface of the body itself. The original statement was later extended in the context of transport theory so as to cover the stochastic paths of Pearson random walks with exponentially distributed flight lengths traversing a bounded domain. Some heuristic arguments suggest that Cauchy's formula may also hold true for Pearson random walks with arbitrarily distributed flight lengths. For such a broad class of stochastic processes, we rigorously derive a generalized Cauchy's formula for the average length travelled by the walkers in the body, and show that this quantity depends indeed only on the ratio between the volume and the surface, provided that some constraints are imposed on the entrance step of the walker in B. Similar results are also obtained for the average number of collisions performed by the walker in B.
Cauchy's formulas for random walks in bounded domains
NASA Astrophysics Data System (ADS)
Mazzolo, Alain; de Mulatier, Clélia; Zoia, Andrea
2014-08-01
Cauchy's formula was originally established for random straight paths crossing a body B subset {R}n and basically relates the average chord length through B to the ratio between the volume and the surface of the body itself. The original statement was later extended in the context of transport theory so as to cover the stochastic paths of Pearson random walks with exponentially distributed flight lengths traversing a bounded domain. Some heuristic arguments suggest that Cauchy's formula may also hold true for Pearson random walks with arbitrarily distributed flight lengths. For such a broad class of stochastic processes, we rigorously derive a generalized Cauchy's formula for the average length travelled by the walkers in the body, and show that this quantity depends indeed only on the ratio between the volume and the surface, provided that some constraints are imposed on the entrance step of the walker in B. Similar results are also obtained for the average number of collisions performed by the walker in B.
Dynamical evolution of domain walls in an expanding universe
NASA Technical Reports Server (NTRS)
Press, William H.; Ryden, Barbara S.; Spergel, David N.
1989-01-01
Whenever the potential of a scalar field has two or more separated, degenerate minima, domain walls form as the universe cools. The evolution of the resulting network of domain walls is calculated for the case of two potential minima in two and three dimensions, including wall annihilation, crossing, and reconnection effects. The nature of the evolution is found to be largely independent of the rate at which the universe expands. Wall annihilation and reconnection occur almost as fast as causality allows, so that the horizon volume is 'swept clean' and contains, at any time, only about one, fairly smooth, wall. Quantitative statistics are given. The total area of wall per volume decreases as the first power of time. The relative slowness of the decrease and the smoothness of the wall on the horizon scale make it impossible for walls to both generate large-scale structure and be consistent with quadrupole microwave background anisotropy limits.
The Lichnerowicz-Weitzenboeck formula and superconductivity
Vargas-Paredes, Alfredo A.; Doria, Mauro M. [Departamento de Fisica dos Solidos, Universidade Federal do Rio de Janeiro, 21941-972 Rio de Janeiro (Brazil)] [Departamento de Fisica dos Solidos, Universidade Federal do Rio de Janeiro, 21941-972 Rio de Janeiro (Brazil); Neto, Jose Abdala Helayeel [Centro Brasileiro de Pesquisas Fisicas, 22290-160 Rio de Janeiro RJ (Brazil)] [Centro Brasileiro de Pesquisas Fisicas, 22290-160 Rio de Janeiro RJ (Brazil)
2013-01-15
We derive the Lichnerowicz-Weitzenboeck formula for the two-component order parameter superconductor, which provides a twofold view of the kinetic energy of the superconductor. For the one component order parameter superconductor we review the connection between the Lichnerowicz-Weitzenboeck formula and the Ginzburg-Landau theory. For the two-component case we claim that this formula opens a venue to describe inhomogeneous superconducting states intertwined by spin correlations and charged dislocation. In this case the Lichnerowicz-Weitzenboeck formula displays local rotational and electromagnetic gauge symmetry (SU(2) Circled-Times U(1)) and relies on local commuting momentum and spin operators. The order parameter lives in a space with curvature and torsion described by Elie Cartan geometrical formalism. The Lichnerowickz-Weitzenboeck formula leads to first order differential equations that are a three-dimensional version of the Seiberg-Witten equations.
Safety of soya-based infant formulas in children.
Vandenplas, Yvan; Castrellon, Pedro Gutierrez; Rivas, Rodolfo; Gutiérrez, Carlos Jimenez; Garcia, Luisa Diaz; Jimenez, Juliana Estevez; Anzo, Anahi; Hegar, Badriul; Alarcon, Pedro
2014-04-28
Soya-based infant formulas (SIF) containing soya flour were introduced almost 100 years ago. Modern soya formulas are used in allergy/intolerance to cows' milk-based formulas (CMF), post-infectious diarrhoea, lactose intolerance and galactosaemia, as a vegan human milk (HM) substitute, etc. The safety of SIF is still debated. In the present study, we reviewed the safety of SIF in relation to anthropometric growth, bone health (bone mineral content), immunity, cognition, and reproductive and endocrine functions. The present review includes cross-sectional, case-control, cohort studies or clinical trials that were carried out in children fed SIF compared with those fed other types of infant formulas and that measured safety. The databases that were searched included PubMed (1909 to July 2013), Embase (1988 to May 2013), LILACS (1990 to May 2011), ARTEMISA (13th edition, December 2012), Cochrane controlled trials register, Bandolier and DARE using the Cochrane methodology. Wherever possible, a meta-analysis was carried out. We found that the anthropometric patterns of children fed SIF were similar to those of children fed CMF or HM. Despite the high levels of phytates and aluminium in SIF, Hb, serum protein, Zn and Ca concentrations and bone mineral content were found to be similar to those of children fed CMF or HM. We also found the levels of genistein and daidzein to be higher in children fed SIF; however, we did not find strong evidence of a negative effect on reproductive and endocrine functions. Immune measurements and neurocognitive parameters were similar in all the feeding groups. In conclusion, modern SIF are evidence-based safety options to feed children requiring them. The patterns of growth, bone health and metabolic, reproductive, endocrine, immune and neurological functions are similar to those observed in children fed CMF or HM. PMID:24507712
Interpolating Arithmetic ReadOnce Formulas in Parallel
Bshouty, Nader
Interpolating Arithmetic ReadÂOnce Formulas in Parallel Nader H. Bshouty \\Lambda Richard Cleve A formula is readÂonce if each variable appears at most once in it. An arithmetic readÂonce formula is one readÂonce formulas over sufficiently large fields. More specifically, for nÂvariable readÂonce formulas
A Proof Procedure for the Logic of Hereditary Harrop Formulas
Nadathur, Gopalan
CSÂ1992Â17 A Proof Procedure for the Logic of Hereditary Harrop Formulas Gopalan Nadathur Procedure for the Logic of Hereditary Harrop Formulas \\Lambda Gopalan Nadathur Department of Computer for a class of formulas in intuitionistic logic. These formulas are the soÂcalled goal formulas in the theory
NASA Astrophysics Data System (ADS)
Chang, Tae Young
The evolution of a 2:1 aspect ratio elliptic vortex rings moving parallel to a wall has been studied by an inviscid model using the vortex filament method, a viscous direct numerical simulation, and flow visualization experiments. In the inviscid simulation a free slip wall was simulated by placement of an image vortex ring underneath the wall located perpendicular to the initial minor axis of the vortex ring. As the vortex ring undergoes an axis switching motion, a part of the vortex ring approaches the wall leading to the vortex/wall interaction. The simulation of a ring in the vicinity of a wall becomes invalid when the cores of the vortex ring and the image vortex ring overlap. The vortex ring with a core radius of 10% of the semi-major axis length fails to continue the second axis switching motion due to the interaction, if the initial distance from the wall to the closest point on the vortex ring is less than 70% of the semi-major axis length. This critical wall distance for the interaction is a function of core radius. Viscous interactions become important as the vortex ring approaches the wall. A viscous direct numerical simulation is used to study the details of the final stage of the interaction. The vortex ring propagating near the wall induces a boundary layer on the wall and then interacts with this boundary layer. After the vortex ring impacts the wall, strong upward flows exist near the wall which causes fluid on the wall surface to be entrained into the vortex ring. Flow visualization experiments in air using titanium tetrachloride smoke were conducted. The trajectory of the vortex core at the symmetry plane is quantified and the distortion of the vortex ring due to a wall is measured using an image processing system. The critical wall distance for the wall interaction suggested from the inviscid simulation is confirmed.
7. REMAINS OF PLANK WALL WITHIN CANAL CONSTRUCTED TO PROTECT ...
7. REMAINS OF PLANK WALL WITHIN CANAL CONSTRUCTED TO PROTECT OUTSIDE CANAL BANK, LOOKING SOUTHWEST. NOTE CROSS SUPPORT POLES EXTENDING TO HILLSIDE. - Snake River Ditch, Headgate on north bank of Snake River, Dillon, Summit County, CO
5. VIEW SOUTHWEST, INTERIOR CANAL WALL (Original Fabric) Bald ...
5. VIEW SOUTHWEST, INTERIOR CANAL WALL (Original Fabric) - Bald Eagle Cross-Cut Canal Lock, North of Water Street along West Branch of Susquehanna River South bank, 500 feet East of Jay Street Bridge, Lock Haven, Clinton County, PA
Electron-wall interaction in Hall thrustersa... Y. Raitsesb
of the electron temperature with the discharge voltage. An enhanced anomalous crossed-field mobility near wall. INTRODUCTION The Hall thruster1,2 HT is a spacecraft propulsion de- vice, which generates the thrust due
The Parisi Formula has a Unique Minimizer
NASA Astrophysics Data System (ADS)
Auffinger, Antonio; Chen, Wei-Kuo
2014-11-01
In 1979, Parisi (Phys Rev Lett 43:1754-1756, 1979) predicted a variational formula for the thermodynamic limit of the free energy in the Sherrington-Kirkpatrick model, and described the role played by its minimizer. This formula was verified in the seminal work of Talagrand (Ann Math 163(1):221-263, 2006) and later generalized to the mixed p-spin models by Panchenko (Ann Probab 42(3):946-958, 2014). In this paper, we prove that the minimizer in Parisi's formula is unique at any temperature and external field by establishing the strict convexity of the Parisi functional.
Lesson 26: The Distance and Midpoint Formulas
NSDL National Science Digital Library
2011-01-01
The lesson begins by associating the distance between two points with the right triangle that may be formed by joining the points and extending horizontal and vertical lines through the points. This linking is generalized to derive the distance formula for any two points in the plane. The midpoint formula is then derived by taking the average of the coordinates of the two points. Using the distance formula, the equation for circle is derived and then examples follow for finding the equation of a given circle.
Hydrolyzed Infant Formula and Early ?-Cell Autoimmunity
Knip, Mikael; Åkerblom, Hans K.; Becker, Dorothy; Dosch, Hans-Michael; Dupre, John; Fraser, William; Howard, Neville; Ilonen, Jorma; Krischer, Jeffrey P.; Kordonouri, Olga; Lawson, Margaret L.; Palmer, Jerry P.; Savilahti, Erkki; Vaarala, Outi; Virtanen, Suvi M.
2014-01-01
IMPORTANCE The disease process leading to clinical type 1 diabetes often starts during the first years of life. Early exposure to complex dietary proteins may increase the risk of ?-cell autoimmunity in children at genetic risk for type 1 diabetes. Extensively hydrolyzed formulas do not contain intact proteins. OBJECTIVE To test the hypothesis that weaning to an extensively hydrolyzed formula decreases the cumulative incidence of diabetes-associated autoantibodies in young children. DESIGN, SETTING, AND PARTICIPANTS A double-blind randomized clinical trial of 2159 infants with HLA-conferred disease susceptibility and a first-degree relative with type 1 diabetes recruited from May 2002 to January 2007 in 78 study centers in 15 countries; 1078 were randomized to be weaned to the extensively hydrolyzed casein formula and 1081 were randomized to be weaned to a conventional cows’ milk–based formula. The participants were observed to April 16, 2013. INTERVENTIONS The participants received either a casein hydrolysate or a conventional cows’ milk formula supplemented with 20% of the casein hydrolysate. MAIN OUTCOMES AND MEASURES Primary outcome was positivity for at least 2 diabetes-associated autoantibodies out of 4 analyzed. Autoantibodies to insulin, glutamic acid decarboxylase, and the insulinoma-associated–2 (IA-2) molecule were analyzed using radiobinding assays and islet cell antibodies with immunofluorescence during a median observation period of 7.0 years (mean, 6.3 years). RESULTS The absolute risk of positivity for 2 or more islet autoantibodies was 13.4% among those randomized to the casein hydrolysate formula (n = 139) vs 11.4% among those randomized to the conventional formula (n = 117). The unadjusted hazard ratio for positivity for 2 or more autoantibodies among those randomized to be weaned to the casein hydrolysate was 1.21 (95% CI, 0.94–1.54), compared with those randomized to the conventional formula, while the hazard ratio adjusted for HLA risk, duration of breastfeeding, vitamin D use, study formula duration and consumption, and region was 1.23 (95% CI, 0.96–1.58). There were no clinically significant differences in the rate of reported adverse events between the 2 groups. CONCLUSIONS AND RELEVANCE Among infants at risk for type 1 diabetes, the use of a hydrolyzed formula, when compared with a conventional formula, did not reduce the incidence of diabetes-associated autoantibodies after 7 years. These findings do not support a benefit from hydrolyzed formula. TRIAL REGISTRATION clinicaltrials.gov Identifier: NCT00179777 PMID:24915259
Performance Theory of Diagonal Conducting Wall MHD Accelerators
NASA Technical Reports Server (NTRS)
Litchford, R. J.
2003-01-01
The theoretical performance of diagonal conducting wall crossed field accelerators is examined on the basis of an infinite segmentation assumption using a cross-plane averaged generalized Ohm's law for a partially ionized gas, including ion slip. The desired accelerator performance relationships are derived from the cross-plane averaged Ohm's law by imposing appropriate configuration and loading constraints. A current dependent effective voltage drop model is also incorporated to account for cold-wall boundary layer effects including gasdynamic variations, discharge constriction, and electrode falls. Definition of dimensionless electric fields and current densities lead to the construction of graphical performance diagrams, which further illuminate the rudimentary behavior of crossed field accelerator operation.
Highly efficient in-line magnetic domain wall injector.
Phung, Timothy; Pushp, Aakash; Thomas, Luc; Rettner, Charles; Yang, See-Hun; Ryu, Kwang-Su; Baglin, John; Hughes, Brian; Parkin, Stuart
2015-02-11
We demonstrate a highly efficient and simple scheme for injecting domain walls into magnetic nanowires. The spin transfer torque from nanosecond long, unipolar, current pulses that cross a 90° magnetization boundary together with the fringing magnetic fields inherently prevalent at the boundary, allow for the injection of single or a continual stream of domain walls. Remarkably, the currents needed for this "in-line" domain wall injection scheme are at least one hundred times smaller than conventional methods. PMID:25584482
Eva Frei; R. D. Preston
1961-01-01
This is the first of two papers dealing with the wall structure and growth of Chaetomorpha (Ch. melagonium and Ch. princeps) and of Cladophora (Cl. prolifera and Cl. rupestris). Here the structure is investigated of the side walls and cross-walls of the cells in the filaments, including the apical cells, using polarization microscopy, X-ray diffraction analysis and electron microscopy. All
Cross-spectral purity of electromagnetic fields.
Hassinen, Timo; Tervo, Jani; Friberg, Ari T
2009-12-15
We extend Mandel's scalar-wave concept of cross-spectral purity to electromagnetic fields. We show that in the electromagnetic case, assumptions similar to the scalar cross-spectral purity lead to a reduction formula, analogous with the one introduced by Mandel. We also derive a condition that shows that the absolute value of the normalized zeroth two-point Stokes parameter of two cross-spectrally pure electromagnetic fields is the same for every frequency component of the field. In analogy with the scalar theory we further introduce a measure of the cross-spectral purity of two electromagnetic fields, namely, the degree of electromagnetic cross-spectral purity. PMID:20016640
NASA Technical Reports Server (NTRS)
2005-01-01
[figure removed for brevity, see original site]
The multiple landslides in this VIS image occur along a steep channel wall. Note the large impact crater in the context image. The formation of the crater may have initially weakened that area of the surface prior to channel formation.
Image information: VIS instrument. Latitude -2.7, Longitude 324.8 East (35.2 West). 19 meter/pixel resolution.
Note: this THEMIS visual image has not been radiometrically nor geometrically calibrated for this preliminary release. An empirical correction has been performed to remove instrumental effects. A linear shift has been applied in the cross-track and down-track direction to approximate spacecraft and planetary motion. Fully calibrated and geometrically projected images will be released through the Planetary Data System in accordance with Project policies at a later time.
NASA's Jet Propulsion Laboratory manages the 2001 Mars Odyssey mission for NASA's Office of Space Science, Washington, D.C. The Thermal Emission Imaging System (THEMIS) was developed by Arizona State University, Tempe, in collaboration with Raytheon Santa Barbara Remote Sensing. The THEMIS investigation is led by Dr. Philip Christensen at Arizona State University. Lockheed Martin Astronautics, Denver, is the prime contractor for the Odyssey project, and developed and built the orbiter. Mission operations are conducted jointly from Lockheed Martin and from JPL, a division of the California Institute of Technology in Pasadena.
Halogenation of microcapsule walls
NASA Technical Reports Server (NTRS)
Davis, T. R.; Schaab, C. K.; Scott, J. C.
1972-01-01
Procedure for halogenation of confining walls of both gelatin and gelatin-phenolic resin capsules is similar to that used for microencapsulation. Ten percent halogen content renders capsule wall nonburning; any higher content enhances flame-retardant properties of selected internal phase material. Halogenation decreases permeability of wall material to encapsulated materials.
NSDL National Science Digital Library
Jaime Razand
This site, from The National Institute of Standards and Technology's Building and Fire Research Laboratory, presents information about a wall constructed in 1948 of stone from thousands of quarries. The wall was built to test how well these stones perform when subjected to weathering. The site presents the existing data and pictures for each particular stone in the wall.
27 CFR 26.50 - Formulas for liquors.
Code of Federal Regulations, 2014 CFR
2014-04-01
...ALCOHOL LIQUORS AND ARTICLES FROM PUERTO RICO AND THE VIRGIN ISLANDS Formulas for Products From Puerto Rico § 26.50 Formulas for liquors...shipped to the United States from Puerto Rico. If a formula is...
27 CFR 26.50 - Formulas for liquors.
Code of Federal Regulations, 2012 CFR
2012-04-01
...LIQUORS LIQUORS AND ARTICLES FROM PUERTO RICO AND THE VIRGIN ISLANDS Formulas for Products From Puerto Rico § 26.50 Formulas for liquors...shipped to the United States from Puerto Rico. If a formula is...
27 CFR 26.50 - Formulas for liquors.
Code of Federal Regulations, 2013 CFR
2013-04-01
...ALCOHOL LIQUORS AND ARTICLES FROM PUERTO RICO AND THE VIRGIN ISLANDS Formulas for Products From Puerto Rico § 26.50 Formulas for liquors...shipped to the United States from Puerto Rico. If a formula is...
27 CFR 26.50 - Formulas for liquors.
Code of Federal Regulations, 2011 CFR
2011-04-01
...LIQUORS LIQUORS AND ARTICLES FROM PUERTO RICO AND THE VIRGIN ISLANDS Formulas for Products From Puerto Rico § 26.50 Formulas for liquors...shipped to the United States from Puerto Rico. If a formula is...
27 CFR 21.60 - Formula No. 33.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 33. 21.60 Section 21.60...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.60...
27 CFR 21.61 - Formula No. 35.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 35. 21.61 Section 21.61...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.61...
27 CFR 21.66 - Formula No. 38-C.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 38-C. 21.66 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.66...
27 CFR 21.80 - Formula No. 45.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 45. 21.80 Section 21.80...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.80...
27 CFR 26.220 - Formulas for liquors.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formulas for liquors. 26.220 Section 26...FROM PUERTO RICO AND THE VIRGIN ISLANDS Formulas for Products From the Virgin Islands § 26.220 Formulas for liquors. (a) Distilled...
27 CFR 21.63 - Formula No. 36.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 36. 21.63 Section 21.63...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.63...
27 CFR 21.70 - Formula No. 39-A.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 39-A. 21.70 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.70...
27 CFR 21.68 - Formula No. 38-F.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 38-F. 21.68 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.68...
28 CFR 31.3 - Formula grant plan and applications.
Code of Federal Regulations, 2012 CFR
2012-07-01
... 2012-07-01 2012-07-01 false Formula grant plan and applications. 31.3 Section...DEPARTMENT OF JUSTICE OJJDP GRANT PROGRAMS Formula Grants General Provisions § 31.3 Formula grant plan and applications....
27 CFR 21.67 - Formula No. 38-D.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Formula No. 38-D. 21.67 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.67...
27 CFR 21.53 - Formula No. 27-A.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 27-A. 21.53 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.53...
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 4. 21.38 Section 21.38...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.38...
27 CFR 21.69 - Formula No. 39.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 39. 21.69 Section 21.69...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.69...
27 CFR 21.78 - Formula No. 42.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 42. 21.78 Section 21.78...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.78...
27 CFR 17.122 - Amended or revised formulas.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 false Amended or revised formulas. 17.122 Section 17.122 Alcohol...IN MANUFACTURING NONBEVERAGE PRODUCTS Formulas and Samples § 17.122 Amended or revised formulas. Except as provided in this...
27 CFR 21.74 - Formula No. 40.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 40. 21.74 Section 21.74...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.74...
24 CFR 990.160 - Overview of calculating formula expenses.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 false Overview of calculating formula expenses. 990.160 Section 990.160...HOUSING OPERATING FUND PROGRAM Calculating Formula Expenses § 990.160 Overview of calculating formula expenses. (a) General....
27 CFR 21.58 - Formula No. 31-A.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 31-A. 21.58 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.58...
27 CFR 21.36 - Formula No. 3-B.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 3-B. 21.36 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.36...
27 CFR 21.44 - Formula No. 19.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 19. 21.44 Section 21.44...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.44...
27 CFR 21.79 - Formula No. 44.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 44. 21.79 Section 21.79...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.79...
27 CFR 21.76 - Formula No. 40-B.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 40-B. 21.76 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.76...
27 CFR 21.48 - Formula No. 23-F.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Formula No. 23-F. 21.48 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.48...
27 CFR 21.55 - Formula No. 28-A.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 28-A. 21.55 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.55...
27 CFR 21.61 - Formula No. 35.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 35. 21.61 Section 21.61...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.61...
27 CFR 21.67 - Formula No. 38-D.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 38-D. 21.67 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.67...
27 CFR 21.45 - Formula No. 20.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Formula No. 20. 21.45 Section 21.45...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.45...
24 CFR 990.195 - Calculation of formula income.
Code of Federal Regulations, 2012 CFR
2012-04-01
... 2012-04-01 false Calculation of formula income. 990.195 Section 990.195...HOUSING OPERATING FUND PROGRAM Calculating Formula Income § 990.195 Calculation of formula income. (a) General. For the...
27 CFR 17.126 - Formulas for intermediate products.
Code of Federal Regulations, 2011 CFR
2011-04-01
... 2011-04-01 2011-04-01 false Formulas for intermediate products. 17.126 Section...USED IN MANUFACTURING NONBEVERAGE PRODUCTS Formulas and Samples § 17.126 Formulas for intermediate products. (a) The...
27 CFR 21.79 - Formula No. 44.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 44. 21.79 Section 21.79...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.79...
24 CFR 990.195 - Calculation of formula income.
Code of Federal Regulations, 2014 CFR
2014-04-01
... 2014-04-01 false Calculation of formula income. 990.195 Section 990.195...HOUSING OPERATING FUND PROGRAM Calculating Formula Income § 990.195 Calculation of formula income. (a) General. For the...
27 CFR 21.44 - Formula No. 19.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Formula No. 19. 21.44 Section 21.44...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.44...
27 CFR 21.67 - Formula No. 38-D.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 38-D. 21.67 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.67...
27 CFR 21.66 - Formula No. 38-C.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 38-C. 21.66 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.66...
27 CFR 21.75 - Formula No. 40-A.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 40-A. 21.75 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.75...
Parametric Improper Integrals, Wallis Formula and Catalan Numbers
ERIC Educational Resources Information Center
Dana-Picard, Thierry; Zeitoun, David G.
2012-01-01
We present a sequence of improper integrals, for which a closed formula can be computed using Wallis formula and a non-straightforward recurrence formula. This yields a new integral presentation for Catalan numbers.
27 CFR 21.67 - Formula No. 38-D.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 38-D. 21.67 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.67...
27 CFR 21.80 - Formula No. 45.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Formula No. 45. 21.80 Section 21.80...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.80...
27 CFR 21.39 - Formula No. 6-B.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 6-B. 21.39 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.39...
27 CFR 21.77 - Formula No. 40-C.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 40-C. 21.77 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.77...
27 CFR 21.48 - Formula No. 23-F.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 23-F. 21.48 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.48...
27 CFR 21.80 - Formula No. 45.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 45. 21.80 Section 21.80...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.80...
27 CFR 21.80 - Formula No. 45.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 45. 21.80 Section 21.80...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.80...
27 CFR 21.81 - Formula No. 46.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 46. 21.81 Section 21.81...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.81...
27 CFR 21.61 - Formula No. 35.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 35. 21.61 Section 21.61...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.61...
27 CFR 21.66 - Formula No. 38-C.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 38-C. 21.66 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.66...
27 CFR 21.36 - Formula No. 3-B.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 3-B. 21.36 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.36...
27 CFR 21.44 - Formula No. 19.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 19. 21.44 Section 21.44...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.44...
27 CFR 21.52 - Formula No. 27.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 27. 21.52 Section 21.52...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.52...
28 CFR 31.3 - Formula grant plan and applications.
Code of Federal Regulations, 2014 CFR
2014-07-01
... 2014-07-01 2014-07-01 false Formula grant plan and applications. 31.3 Section...DEPARTMENT OF JUSTICE OJJDP GRANT PROGRAMS Formula Grants General Provisions § 31.3 Formula grant plan and applications....
27 CFR 21.78 - Formula No. 42.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 42. 21.78 Section 21.78...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.78...
27 CFR 5.28 - Adoption of predecessor's formulas.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 false Adoption of predecessor's formulas. 5.28 Section 5.28 Alcohol...LABELING AND ADVERTISING OF DISTILLED SPIRITS Formulas § 5.28 Adoption of predecessor's formulas. The adoption by a successor of...
27 CFR 21.71 - Formula No. 39-B.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 39-B. 21.71 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.71...
27 CFR 21.79 - Formula No. 44.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Formula No. 44. 21.79 Section 21.79...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.79...
27 CFR 21.46 - Formula No. 22.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 22. 21.46 Section 21.46...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.46...
27 CFR 24.81 - Filing of formulas.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Filing of formulas. 24.81 Section 24.81 Alcohol, Tobacco...Administrative and Miscellaneous Provisions Formulas § 24.81 Filing of formulas. The proprietor shall on each...
27 CFR 21.63 - Formula No. 36.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 36. 21.63 Section 21.63...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.63...
27 CFR 21.81 - Formula No. 46.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 46. 21.81 Section 21.81...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.81...
27 CFR 21.77 - Formula No. 40-C.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 40-C. 21.77 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.77...
27 CFR 26.220 - Formulas for liquors.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formulas for liquors. 26.220 Section 26...FROM PUERTO RICO AND THE VIRGIN ISLANDS Formulas for Products From the Virgin Islands § 26.220 Formulas for liquors. (a) Distilled...
27 CFR 21.54 - Formula No. 27-B.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Formula No. 27-B. 21.54 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.54...
27 CFR 21.63 - Formula No. 36.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 36. 21.63 Section 21.63...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.63...
27 CFR 5.28 - Adoption of predecessor's formulas.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 false Adoption of predecessor's formulas. 5.28 Section 5.28 Alcohol...LABELING AND ADVERTISING OF DISTILLED SPIRITS Formulas § 5.28 Adoption of predecessor's formulas. The adoption by a successor of...
27 CFR 21.54 - Formula No. 27-B.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 27-B. 21.54 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.54...
27 CFR 21.46 - Formula No. 22.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 22. 21.46 Section 21.46...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.46...
27 CFR 26.220 - Formulas for liquors.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formulas for liquors. 26.220 Section 26...FROM PUERTO RICO AND THE VIRGIN ISLANDS Formulas for Products From the Virgin Islands § 26.220 Formulas for liquors. (a) Distilled...
27 CFR 21.63 - Formula No. 36.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 36. 21.63 Section 21.63...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.63...
27 CFR 21.45 - Formula No. 20.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 20. 21.45 Section 21.45...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.45...
27 CFR 24.81 - Filing of formulas.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Filing of formulas. 24.81 Section 24.81 Alcohol, Tobacco...Administrative and Miscellaneous Provisions Formulas § 24.81 Filing of formulas. The proprietor shall on each...
27 CFR 17.125 - Adoption of formulas and processes.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Adoption of formulas and processes. 17.125 Section 17...USED IN MANUFACTURING NONBEVERAGE PRODUCTS Formulas and Samples § 17.125 Adoption of formulas and processes. (a) Adoption of...
27 CFR 21.68 - Formula No. 38-F.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 38-F. 21.68 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.68...
27 CFR 21.45 - Formula No. 20.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 20. 21.45 Section 21.45...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.45...
24 CFR 990.195 - Calculation of formula income.
Code of Federal Regulations, 2011 CFR
2011-04-01
... 2011-04-01 false Calculation of formula income. 990.195 Section 990.195...HOUSING OPERATING FUND PROGRAM Calculating Formula Income § 990.195 Calculation of formula income. (a) General. For the...
27 CFR 21.39 - Formula No. 6-B.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Formula No. 6-B. 21.39 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.39...
27 CFR 21.74 - Formula No. 40.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 40. 21.74 Section 21.74...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.74...
27 CFR 21.64 - Formula No. 37.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 37. 21.64 Section 21.64...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.64...
27 CFR 21.53 - Formula No. 27-A.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 27-A. 21.53 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.53...
27 CFR 21.78 - Formula No. 42.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Formula No. 42. 21.78 Section 21.78...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.78...
27 CFR 21.48 - Formula No. 23-F.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 23-F. 21.48 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.48...
27 CFR 21.44 - Formula No. 19.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 19. 21.44 Section 21.44...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.44...
27 CFR 21.49 - Formula No. 23-H.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 23-H. 21.49 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.49...
27 CFR 21.66 - Formula No. 38-C.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Formula No. 38-C. 21.66 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.66...
27 CFR 21.52 - Formula No. 27.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 27. 21.52 Section 21.52...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.52...
27 CFR 21.79 - Formula No. 44.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 44. 21.79 Section 21.79...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.79...
27 CFR 17.126 - Formulas for intermediate products.
Code of Federal Regulations, 2013 CFR
2013-04-01
... 2013-04-01 2013-04-01 false Formulas for intermediate products. 17.126 Section...USED IN MANUFACTURING NONBEVERAGE PRODUCTS Formulas and Samples § 17.126 Formulas for intermediate products. (a) The...
27 CFR 21.39 - Formula No. 6-B.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 6-B. 21.39 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.39...
27 CFR 24.81 - Filing of formulas.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Filing of formulas. 24.81 Section 24.81 Alcohol, Tobacco...Administrative and Miscellaneous Provisions Formulas § 24.81 Filing of formulas. The proprietor shall on each...
27 CFR 21.45 - Formula No. 20.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 20. 21.45 Section 21.45...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.45...
27 CFR 21.72 - Formula No. 39-C.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 39-C. 21.72 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.72...
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 4. 21.38 Section 21.38...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.38...
27 CFR 5.28 - Adoption of predecessor's formulas.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 false Adoption of predecessor's formulas. 5.28 Section 5.28 Alcohol...LABELING AND ADVERTISING OF DISTILLED SPIRITS Formulas § 5.28 Adoption of predecessor's formulas. The adoption by a successor of...
27 CFR 26.220 - Formulas for liquors.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Formulas for liquors. 26.220 Section 26...FROM PUERTO RICO AND THE VIRGIN ISLANDS Formulas for Products From the Virgin Islands § 26.220 Formulas for liquors. (a) Distilled...
27 CFR 21.75 - Formula No. 40-A.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 40-A. 21.75 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.75...
27 CFR 21.76 - Formula No. 40-B.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 40-B. 21.76 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.76...
27 CFR 21.73 - Formula No. 39-D.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 39-D. 21.73 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.73...
27 CFR 26.220 - Formulas for liquors.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formulas for liquors. 26.220 Section 26...FROM PUERTO RICO AND THE VIRGIN ISLANDS Formulas for Products From the Virgin Islands § 26.220 Formulas for liquors. (a) Distilled...
27 CFR 21.60 - Formula No. 33.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Formula No. 33. 21.60 Section 21.60...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.60...
27 CFR 21.71 - Formula No. 39-B.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 39-B. 21.71 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.71...
27 CFR 21.52 - Formula No. 27.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 27. 21.52 Section 21.52...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.52...
27 CFR 21.55 - Formula No. 28-A.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 28-A. 21.55 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.55...
27 CFR 21.43 - Formula No. 18.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 18. 21.43 Section 21.43...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.43...
27 CFR 21.58 - Formula No. 31-A.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 31-A. 21.58 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.58...
27 CFR 21.80 - Formula No. 45.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 45. 21.80 Section 21.80...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.80...
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 4. 21.38 Section 21.38...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.38...
27 CFR 21.70 - Formula No. 39-A.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 39-A. 21.70 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.70...
24 CFR 990.195 - Calculation of formula income.
Code of Federal Regulations, 2010 CFR
2010-04-01
... 2010-04-01 false Calculation of formula income. 990.195 Section 990.195...HOUSING OPERATING FUND PROGRAM Calculating Formula Income § 990.195 Calculation of formula income. (a) General. For the...
27 CFR 17.125 - Adoption of formulas and processes.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Adoption of formulas and processes. 17.125 Section 17...USED IN MANUFACTURING NONBEVERAGE PRODUCTS Formulas and Samples § 17.125 Adoption of formulas and processes. (a) Adoption of...
27 CFR 17.126 - Formulas for intermediate products.
Code of Federal Regulations, 2014 CFR
2014-04-01
... 2014-04-01 2014-04-01 false Formulas for intermediate products. 17.126 Section...USED IN MANUFACTURING NONBEVERAGE PRODUCTS Formulas and Samples § 17.126 Formulas for intermediate products. (a) The...
27 CFR 17.126 - Formulas for intermediate products.
Code of Federal Regulations, 2010 CFR
2010-04-01
... 2010-04-01 2010-04-01 false Formulas for intermediate products. 17.126 Section...USED IN MANUFACTURING NONBEVERAGE PRODUCTS Formulas and Samples § 17.126 Formulas for intermediate products. (a) The...
27 CFR 21.68 - Formula No. 38-F.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 38-F. 21.68 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.68...
24 CFR 990.160 - Overview of calculating formula expenses.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 false Overview of calculating formula expenses. 990.160 Section 990.160...HOUSING OPERATING FUND PROGRAM Calculating Formula Expenses § 990.160 Overview of calculating formula expenses. (a) General....
27 CFR 21.71 - Formula No. 39-B.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 39-B. 21.71 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.71...
27 CFR 21.68 - Formula No. 38-F.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Formula No. 38-F. 21.68 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.68...
27 CFR 21.64 - Formula No. 37.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 37. 21.64 Section 21.64...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.64...
28 CFR 31.3 - Formula grant plan and applications.
Code of Federal Regulations, 2013 CFR
2013-07-01
... 2013-07-01 2013-07-01 false Formula grant plan and applications. 31.3 Section...DEPARTMENT OF JUSTICE OJJDP GRANT PROGRAMS Formula Grants General Provisions § 31.3 Formula grant plan and applications....
27 CFR 21.72 - Formula No. 39-C.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 39-C. 21.72 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.72...
24 CFR 990.160 - Overview of calculating formula expenses.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 false Overview of calculating formula expenses. 990.160 Section 990.160...HOUSING OPERATING FUND PROGRAM Calculating Formula Expenses § 990.160 Overview of calculating formula expenses. (a) General....
27 CFR 21.58 - Formula No. 31-A.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 31-A. 21.58 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.58...
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Formula No. 4. 21.38 Section 21.38...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.38...
27 CFR 21.68 - Formula No. 38-F.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 38-F. 21.68 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.68...
27 CFR 21.75 - Formula No. 40-A.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 40-A. 21.75 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.75...
27 CFR 21.43 - Formula No. 18.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 18. 21.43 Section 21.43...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.43...
27 CFR 21.36 - Formula No. 3-B.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Formula No. 3-B. 21.36 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.36...
27 CFR 21.73 - Formula No. 39-D.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 39-D. 21.73 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.73...
28 CFR 31.3 - Formula grant plan and applications.
Code of Federal Regulations, 2011 CFR
2011-07-01
... 2011-07-01 2011-07-01 false Formula grant plan and applications. 31.3 Section...DEPARTMENT OF JUSTICE OJJDP GRANT PROGRAMS Formula Grants General Provisions § 31.3 Formula grant plan and applications....
27 CFR 21.67 - Formula No. 38-D.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 38-D. 21.67 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.67...
27 CFR 17.125 - Adoption of formulas and processes.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Adoption of formulas and processes. 17.125 Section 17...USED IN MANUFACTURING NONBEVERAGE PRODUCTS Formulas and Samples § 17.125 Adoption of formulas and processes. (a) Adoption of...
27 CFR 21.63 - Formula No. 36.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Formula No. 36. 21.63 Section 21.63...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.63...
27 CFR 21.76 - Formula No. 40-B.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 40-B. 21.76 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.76...
27 CFR 21.43 - Formula No. 18.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 18. 21.43 Section 21.43...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.43...
27 CFR 21.81 - Formula No. 46.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 46. 21.81 Section 21.81...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.81...
27 CFR 21.54 - Formula No. 27-B.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 27-B. 21.54 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.54...
27 CFR 5.28 - Adoption of predecessor's formulas.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 false Adoption of predecessor's formulas. 5.28 Section 5.28 Alcohol...LABELING AND ADVERTISING OF DISTILLED SPIRITS Formulas § 5.28 Adoption of predecessor's formulas. The adoption by a successor of...
27 CFR 21.53 - Formula No. 27-A.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 27-A. 21.53 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.53...
27 CFR 21.55 - Formula No. 28-A.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Formula No. 28-A. 21.55 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.55...
27 CFR 21.53 - Formula No. 27-A.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 27-A. 21.53 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.53...
27 CFR 21.49 - Formula No. 23-H.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 23-H. 21.49 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.49...
27 CFR 21.52 - Formula No. 27.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 27. 21.52 Section 21.52...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.52...
27 CFR 5.28 - Adoption of predecessor's formulas.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 false Adoption of predecessor's formulas. 5.28 Section 5.28 Alcohol...LABELING AND ADVERTISING OF DISTILLED SPIRITS Formulas § 5.28 Adoption of predecessor's formulas. The adoption by a successor of...
27 CFR 21.44 - Formula No. 19.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 19. 21.44 Section 21.44...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.44...
27 CFR 21.69 - Formula No. 39.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 39. 21.69 Section 21.69...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.69...
27 CFR 21.55 - Formula No. 28-A.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 28-A. 21.55 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.55...
27 CFR 21.78 - Formula No. 42.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 42. 21.78 Section 21.78...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.78...
27 CFR 21.36 - Formula No. 3-B.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 3-B. 21.36 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.36...
27 CFR 21.36 - Formula No. 3-B.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 3-B. 21.36 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.36...
27 CFR 21.58 - Formula No. 31-A.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 31-A. 21.58 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.58...
27 CFR 17.126 - Formulas for intermediate products.
Code of Federal Regulations, 2012 CFR
2012-04-01
... 2012-04-01 2012-04-01 false Formulas for intermediate products. 17.126 Section...USED IN MANUFACTURING NONBEVERAGE PRODUCTS Formulas and Samples § 17.126 Formulas for intermediate products. (a) The...
24 CFR 990.160 - Overview of calculating formula expenses.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 false Overview of calculating formula expenses. 990.160 Section 990.160...HOUSING OPERATING FUND PROGRAM Calculating Formula Expenses § 990.160 Overview of calculating formula expenses. (a) General....
24 CFR 990.195 - Calculation of formula income.
Code of Federal Regulations, 2013 CFR
2013-04-01
... 2013-04-01 false Calculation of formula income. 990.195 Section 990.195...HOUSING OPERATING FUND PROGRAM Calculating Formula Income § 990.195 Calculation of formula income. (a) General. For the...
27 CFR 21.48 - Formula No. 23-F.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 23-F. 21.48 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.48...
27 CFR 21.73 - Formula No. 39-D.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Formula No. 39-D. 21.73 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.73...
27 CFR 21.64 - Formula No. 37.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 37. 21.64 Section 21.64...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.64...
27 CFR 21.39 - Formula No. 6-B.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 6-B. 21.39 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.39...
27 CFR 21.77 - Formula No. 40-C.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 40-C. 21.77 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.77...
27 CFR 21.72 - Formula No. 39-C.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 39-C. 21.72 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.72...
27 CFR 21.43 - Formula No. 18.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 18. 21.43 Section 21.43...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.43...
27 CFR 21.81 - Formula No. 46.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Formula No. 46. 21.81 Section 21.81...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.81...
27 CFR 17.122 - Amended or revised formulas.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 false Amended or revised formulas. 17.122 Section 17.122 Alcohol...IN MANUFACTURING NONBEVERAGE PRODUCTS Formulas and Samples § 17.122 Amended or revised formulas. Except as provided in this...
27 CFR 21.49 - Formula No. 23-H.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Formula No. 23-H. 21.49 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.49...
27 CFR 21.46 - Formula No. 22.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 22. 21.46 Section 21.46...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.46...
27 CFR 21.69 - Formula No. 39.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 39. 21.69 Section 21.69...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.69...
27 CFR 21.74 - Formula No. 40.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 40. 21.74 Section 21.74...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.74...
27 CFR 21.46 - Formula No. 22.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 22. 21.46 Section 21.46...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.46...
27 CFR 21.75 - Formula No. 40-A.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 40-A. 21.75 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.75...
27 CFR 21.60 - Formula No. 33.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 33. 21.60 Section 21.60...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.60...
28 CFR 31.3 - Formula grant plan and applications.
Code of Federal Regulations, 2010 CFR
2010-07-01
... 2010-07-01 2010-07-01 false Formula grant plan and applications. 31.3 Section...DEPARTMENT OF JUSTICE OJJDP GRANT PROGRAMS Formula Grants General Provisions § 31.3 Formula grant plan and applications....
27 CFR 21.54 - Formula No. 27-B.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 27-B. 21.54 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.54...
27 CFR 21.60 - Formula No. 33.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 33. 21.60 Section 21.60...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.60...
27 CFR 21.70 - Formula No. 39-A.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 39-A. 21.70 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.70...
27 CFR 21.69 - Formula No. 39.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Formula No. 39. 21.69 Section 21.69...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.69...
27 CFR 21.48 - Formula No. 23-F.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 23-F. 21.48 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.48...
27 CFR 21.61 - Formula No. 35.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Formula No. 35. 21.61 Section 21.61...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.61...
27 CFR 21.60 - Formula No. 33.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 33. 21.60 Section 21.60...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.60...
27 CFR 17.122 - Amended or revised formulas.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 false Amended or revised formulas. 17.122 Section 17.122 Alcohol...IN MANUFACTURING NONBEVERAGE PRODUCTS Formulas and Samples § 17.122 Amended or revised formulas. Except as provided in this...
27 CFR 21.49 - Formula No. 23-H.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 23-H. 21.49 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.49...
27 CFR 21.55 - Formula No. 28-A.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 28-A. 21.55 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.55...
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 4. 21.38 Section 21.38...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.38...
27 CFR 17.122 - Amended or revised formulas.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 false Amended or revised formulas. 17.122 Section 17.122 Alcohol...IN MANUFACTURING NONBEVERAGE PRODUCTS Formulas and Samples § 17.122 Amended or revised formulas. Except as provided in this...
27 CFR 21.73 - Formula No. 39-D.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 39-D. 21.73 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.73...
24 CFR 990.160 - Overview of calculating formula expenses.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 false Overview of calculating formula expenses. 990.160 Section 990.160...HOUSING OPERATING FUND PROGRAM Calculating Formula Expenses § 990.160 Overview of calculating formula expenses. (a) General....
27 CFR 21.72 - Formula No. 39-C.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 39-C. 21.72 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.72...
27 CFR 21.45 - Formula No. 20.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 2014-04-01 false Formula No. 20. 21.45 Section 21.45...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.45...
27 CFR 21.52 - Formula No. 27.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Formula No. 27. 21.52 Section 21.52...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.52...
27 CFR 21.78 - Formula No. 42.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 42. 21.78 Section 21.78...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.78...
27 CFR 21.69 - Formula No. 39.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 39. 21.69 Section 21.69...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.69...
27 CFR 24.81 - Filing of formulas.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Filing of formulas. 24.81 Section 24.81 Alcohol, Tobacco...Administrative and Miscellaneous Provisions Formulas § 24.81 Filing of formulas. The proprietor shall on each...
27 CFR 21.70 - Formula No. 39-A.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 39-A. 21.70 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.70...
27 CFR 24.81 - Filing of formulas.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Filing of formulas. 24.81 Section 24.81 Alcohol, Tobacco...Administrative and Miscellaneous Provisions Formulas § 24.81 Filing of formulas. The proprietor shall on each...
27 CFR 21.64 - Formula No. 37.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 37. 21.64 Section 21.64...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.64...
27 CFR 17.122 - Amended or revised formulas.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 false Amended or revised formulas. 17.122 Section 17.122 Alcohol...IN MANUFACTURING NONBEVERAGE PRODUCTS Formulas and Samples § 17.122 Amended or revised formulas. Except as provided in this...
27 CFR 21.70 - Formula No. 39-A.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Formula No. 39-A. 21.70 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.70...
27 CFR 21.43 - Formula No. 18.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Formula No. 18. 21.43 Section 21.43...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.43...
27 CFR 17.125 - Adoption of formulas and processes.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Adoption of formulas and processes. 17.125 Section 17...USED IN MANUFACTURING NONBEVERAGE PRODUCTS Formulas and Samples § 17.125 Adoption of formulas and processes. (a) Adoption of...
27 CFR 21.79 - Formula No. 44.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 44. 21.79 Section 21.79...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.79...
27 CFR 21.76 - Formula No. 40-B.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 40-B. 21.76 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.76...
27 CFR 21.54 - Formula No. 27-B.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 27-B. 21.54 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.54...
27 CFR 21.73 - Formula No. 39-D.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 39-D. 21.73 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.73...
27 CFR 21.66 - Formula No. 38-C.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 38-C. 21.66 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.66...
27 CFR 21.77 - Formula No. 40-C.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 40-C. 21.77 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.77...
27 CFR 17.125 - Adoption of formulas and processes.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Adoption of formulas and processes. 17.125 Section 17...USED IN MANUFACTURING NONBEVERAGE PRODUCTS Formulas and Samples § 17.125 Adoption of formulas and processes. (a) Adoption of...
27 CFR 21.81 - Formula No. 46.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 46. 21.81 Section 21.81...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.81...
27 CFR 21.39 - Formula No. 6-B.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 6-B. 21.39 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.39...
27 CFR 21.71 - Formula No. 39-B.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 2013-04-01 false Formula No. 39-B. 21.71 Section 21...DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.71...
27 CFR 21.53 - Formula No. 27-A.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Formula No. 27-A. 21.53 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.53...
27 CFR 21.49 - Formula No. 23-H.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 2011-04-01 false Formula No. 23-H. 21.49 Section 21...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.49...
27 CFR 21.61 - Formula No. 35.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 2012-04-01 false Formula No. 35. 21.61 Section 21.61...DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.61...
27 CFR 26.50 - Formulas for liquors.
Code of Federal Regulations, 2010 CFR
2010-04-01
...LIQUORS LIQUORS AND ARTICLES FROM PUERTO RICO AND THE VIRGIN ISLANDS Formulas for Products From Puerto Rico § 26.50 Formulas for liquors...shipped to the United States from Puerto Rico. If a formula is...
Cell wall remodeling under abiotic stress
Tenhaken, Raimund
2015-01-01
Plants exposed to abiotic stress respond to unfavorable conditions on multiple levels. One challenge under drought stress is to reduce shoot growth while maintaining root growth, a process requiring differential cell wall synthesis and remodeling. Key players in this process are the formation of reactive oxygen species (ROS) and peroxidases, which initially cross-link phenolic compounds and glycoproteins of the cell walls causing stiffening. The function of ROS shifts after having converted all the peroxidase substrates in the cell wall. If ROS-levels remain high during prolonged stress, OH°-radicals are formed which lead to polymer cleavage. In concert with xyloglucan modifying enzymes and expansins, the resulting cell wall loosening allows further growth of stressed organs. PMID:25709610
A note on the Cardy Verlinde formula
NASA Astrophysics Data System (ADS)
Lin, Boliang; Cai, Rong-Gen
2006-12-01
We study static, spherically symmetric, and asymptotically AdS black hole spacetimes with matter distribution satisfying ttT =rrT. The first law of black hole thermodynamics is checked. We show that the Cardy-Verlinde formula, which is supposed to be an entropy formula of CFTs in any dimensions, is just a rewritten form of Einstein equations on the black hole horizon. Further, the entropy of dual CFT to the black hole solution is found to indeed satisfy the Cardy-Verlinde formula and the energy of matter outside the black hole should be subtracted from the total energy of the dual CFT in the Cardy-Verlinde formula. The implications of our results are discussed.
Traction Control System for Formula Student Electric
NASA Astrophysics Data System (ADS)
Houf, Z.; ?e?ovský, Z.; Hlinovský, V.
This paper deals with design of traction control of Formula Student Electric Car. There will introduced new conception of formula traction system and its application to the Formula car. In next season we would like to use 2 motors, each of them will be directly connected to its wheel. This solution needs precise control of them to provide high dynamics and great ability to ride curves in high speeds. Using the same torque on each wheel brings problem when one of wheel loss the traction ability. Some slip could happen and the unexpected lateral movement becomes. There will described the mathematic model of formula car. To reduce slips etc. we will publish the theoretical algorithm that reduces or increases torques on rear wheels to stabilize the car. There will be described what states have to be measured and evaluated. Also places where the sensors will be placed will be shown.
Money Ivestigation 1 (solving linear equations, formulas)
NSDL National Science Digital Library
2011-01-01
A hands-on activity to help students understand four basic binary operations in algebraic expressions, solving linear equations in 1 variable, and solving a formula for an indicated variable, using value of collections of coins.
Generalized Doppler Formula in a Nonstatic Universe
ERIC Educational Resources Information Center
Gross, Peter G.
1977-01-01
Derives the general Doppler formula in a nonstatic universe using assumptions of special relativity, homogeneity and isotropy of the universe. Examples of applications to physical cosmology are given. (SL)
RELATIVE CHERN CHARACTER, BOUNDARIES AND INDEX FORMULAE
Melrose, Richard
* *f the symbols (including normal operators at the boundary) of a Fredholm family RELATIVE CHERN CHARACTER, BOUNDARIES AND INDEX FORMULAE with boundary which have `geometric K-theory', namely the `transmission algebra' introduced by Boutet de
Discovering Functional Formulas through Changing Representation Base
Mieczyslaw M. Kokar
1986-01-01
This paper deals with computer generation of numerical functional formulas describing results of scientific experiments (measurements). It describes the methodology for generating functional physical laws called COPER (Kokar 1985a). This method generates only so called \\
Asymptotic unbounded root loci - Formulas and computation
NASA Technical Reports Server (NTRS)
Sastry, S. S.; Desoer, C. A.
1983-01-01
A new geometric way of computing the asymptotic behavior of unbounded root loci of a strictly proper linear time-invariant control system as loop gain goes to infinity is presented. Properties of certain restricted linear maps and nested restrictions of linear maps are developed, and formulas are obtained for the leading coefficient of the asymptotic values of the unbounded multivariable root loci are obtained in terms of eigenvalues of those maps. Published results and a certain simple null structure assumption are used to relate these asymptotic values to the structure at infinity of the Smith-McMillan form of the open loop transfer function. Explicit matrix formulas for the more abstract derived formulas are given and additional geometric insights are developed with orthogonal projections and singular value decomposition. Formulas for the pivots of the unbounded root loci are calculated and shown to have the same form as the coefficients of the unbounded asymptotic root loci.
On Combinatorial Formulas for Macdonald Polynomials
Lenart, Cristian
2008-01-01
A recent breakthrough in the theory of (type A) Macdonald polynomials is due to Haglund, Haiman and Loehr, who exhibited a combinatorial formula for these polynomials in terms of a pair of statistics on fillings of Young diagrams. Ram and Yip gave a formula for the Macdonald polynomials of arbitrary type in terms of so-called alcove walks; these originate in the work of Gaussent-Littelmann and of the author with Postnikov on discrete counterparts to the Littelmann path model. In this paper, we relate the above developments, by explaining how the Ram-Yip formula compresses to a new formula, which is similar to the Haglund-Haiman-Loehr one but contains considerably fewer terms.
We report a facile method to accomplish cross-linking reaction of poly (vinyl alcohol) (PVA) with single-wall carbon nanotubes (SWNT), multi-wall carbon nanotubes (MWNT), and Buckminsterfullerene (C-60) using microwave (MW) irradiation. Nanocomposites of PVA cross-linked with SW...
Interpolants for Runge-Kutta formulas
Wayne H. Enright; K. R. Jackson; Syvert P. Nørsett; Per Grove Thomsen
1986-01-01
A general procedure for the construction of interpolants for Runge-Kutta (RK) formulas is presented. As illustrations, this approach is used to develop interpolants for three explicit RK formulas, including those employed in the well-known subroutines RKF45 and DVERK. A typical result is that no extra function evaluations are required to obtain an interpolant with O(h5) local truncation error for the
KPZ formula derived from Liouville heat kernel
Nathanaël Berestycki; Christophe Garban; Rémi Rhodes; Vincent Vargas
2014-06-27
In this paper, we establish the Knizhnik--Polyakov--Zamolodchikov (KPZ) formula of Liouville quantum gravity, using the heat kernel of Liouville Brownian motion. This derivation of the KPZ formula was first suggested by F. David and M. Bauer in order to get a geometrically more intrinsic way of measuring the dimension of sets in Liouville quantum gravity. We also provide a careful study of the (no)-doubling behaviour of the Liouville measures in the appendix, which is of independent interest.