Science.gov

Sample records for formula huo luo

  1. Extract of the Chinese herbal formula Huo Luo Xiao Ling Dan inhibited adjuvant arthritis in rats

    PubMed Central

    Zhang, Rui-Xin; Fan, Arthur Yin; Zhou, An-Nan; Moudgil, Kamal D.; Ma, Zhong-Ze; Lee, David Yue-Wei; Fong, Harry HS; Berman, Brian M.; Lao, Lixing

    2010-01-01

    Ethnopharmacological relevance The herbal formula Huo Luo Xiao Ling Dan (HLXL) and its modifications have been used in traditional Chinese medicine for about one hundred years to alleviate pain and inflammation. Aim To investigate the effects of HLXL on complete Freund’s adjuvant (CFA)-induced multiple-joint arthritis in rats. Materials and Methods Male Lewis rats, 190–210g, were immunized subcutaneously at the base of the tail with 200 µl of heat-killed M. tuberculosis in mineral oil (5 mg/ml). HLXL (2.30g/kg and 4.60g/kg) or vehicle control (n=8 per group) was administered orally (i.g.) once a day between days 16–25 post-CFA injection. The rats were observed for signs of arthritis with arthritic changes (erythema, edema, induration) being scored on a scale of 0 to 4 of increasing severity using a standard scoring system. The maximum arthritis score per rat was 16. A plethysmometer was used to measure edema volume in each paw. Adverse effects of HLXL were monitored by closely observing the animals for unusual behavioral changes. Levels of tumor necrosis factor alpha (TNF-α) and interleukin 1 beta (IL-1β) in local tissue were measured by enzyme-linked immunosorbent assay on day 25 post-CFA. Results HLXL significantly decreased arthritis scores between days 23–25 in the 2.30g/kg group and 21–25 in the 4.60g/kg group (p<0.05). It reduced paw edema on days 22 and 24 in the 2.30g/kg group and on days 20, 22 and 24 in the 4.60g/kg group compared to control (p<0.05). Local tissue TNF-α and IL-1β levels on day 25 post-CFA injection were significantly (p<0.05) lower in rats treated with HLXL than in control rats. No observable adverse effects were found. Conclusion The data suggest that HLXL produces significant anti-arthritic effects that may be mediated by suppressing pro-inflammatory cytokines, and it appears to be safe. PMID:19100323

  2. Suppression of Ongoing Experimental Arthritis by a Chinese Herbal Formula (Huo-Luo-Xiao-Ling Dan) Involves Changes in Antigen-Induced Immunological and Biochemical Mediators of Inflammation

    PubMed Central

    Yang, Ying-Hua; Rajaiah, Rajesh; Lee, David Y.-W; Ma, Zhongze; Yu, Hua; Fong, Harry H. S.; Lao, Lixing; Berman, Brian M.; Moudgil, Kamal D.

    2011-01-01

    Rheumatoid arthritis (RA) is one of the major autoimmune diseases of global prevalence. The use of the anti-inflammatory drugs for the treatment of RA is associated with severe adverse reactions and toxicity. This limitation has necessitated the search for novel therapeutic products. We report here a traditional Chinese medicine-based herbal formula, Huo luo xiao ling dan (HLXL), which has potent antiarthritic activity as validated in the rat adjuvant-induced arthritis (AA) model. HLXL (2.3 g/Kg) was fed to Lewis (RT.11) rats daily by gavage beginning at the onset of arthritis and then continued through the observation period. HLXL inhibited the severity of ongoing AA. This suppression of arthritis was associated with significant alterations in the T cell proliferative and cytokine responses as well as the antibody response against the disease-related antigen, mycobacterial heat-shock protein 65 (Bhsp65). There was a reduction in the level of the proinflammatory cytokines IL-17 and IL-1β but enhancement of the anti-inflammatory cytokine IL-10 level. In addition, there was inhibition of both the anti-Bhsp65 antibody response and the serum level of nitric oxide. Thus, HLXL is a promising CAM modality for further testing in RA patients. PMID:20981317

  3. A computational and functional study elicits the ameliorating effect of the Chinese herbal formula Huo Luo Xiao Ling Dan on experimental ischemia-induced myocardial injury in rats via inhibition of apoptosis

    PubMed Central

    Han, Xiang-Dong; Zhou, Zhi-Wei; Yang, Wei; Ye, Hang-Cheng; Xu, Ying-Zi; Huang, Yun-Feng; Zhang, Tong; Zhou, Shu-Feng

    2015-01-01

    Ischemic heart disease (IHD) is the leading cause of death worldwide and remains a major life-threatening factor in humans. Apoptosis has been implicated in the pathogenesis of IHD. The Chinese herbal formula Huo Luo Xiao Ling Dan (HLXLD), one of the commonly used Chinese herbal formulas, consists of Salviae miltiorrhizae, Angelica sinensis, Gummi olibanum, and Commiphora myrrha, with a wide spectrum of pharmacological activity. However, the mechanism of action and molecular targets of HLXLD in the treatment of IHD are unclear. This study aimed to computationally predict the molecular interactions between the major active components of HLXLD and key regulators of apoptosis and then examine the effect of HLXLD on coronary artery ligation-induced acute myocardial ischemia in rats. The molecular interactions between the major active components of HLXLD, including ferulic acid, ligustilide, succinic acid, vanillic acid, tanshinone IIA, tanshinone IIB, danshensu, salvianolic acid A, salvianolic acid C, protocatechuic aldehyde, and β-boswellic acid and human protein molecules including B cell lymphoma-extra large (Bcl-xl), B cell lymphoma 2 antagonist/killer 1 (Bak1), B cell lymphoma 2 (Bcl-2), procaspase 3, and caspase 9 with regard to hydrogen bond formation, charge interaction, and π-π stacking using Discovery Studio® program 3.1. The 12 HLXLD components were predicted by ADMET (absorption, distribution, metabolism, excretion and toxicity) Predictor to have favorable pharmacokinetic and low hepatotoxicity profiles. The acute myocardial ischemia was established by surgical ligation of the left anterior descending coronary artery. The rats were divided into a sham operative group, a model group, a positive control group treated with 0.2 mg/kg isosorbide mononitrate, and groups treated with 2.7, 5.4, or 10.8 g/kg HLXLD. The results showed that administration of HLXLD increased mean arterial pressure, left ventricular systolic pressure, heart rate, and maximal rate of

  4. Metabolites identification of Huo Luo Xiao Ling Dan in rat urine by UPLC coupled with electrospray ionization time-of-flight mass spectrometry.

    PubMed

    Wang, Fenrong; Wu, Yun; Ai, Yu; Bian, Qiaoxia; Ma, Wen; Lee, David Y-W; Dai, Ronghua

    2016-03-01

    Huo Luo Xiao Ling Dan (HLXLD), a Chinese herbal formula, is used in folk medicine for the treatment of arthritis and other chronic inflammatory diseases. However, the in vivo integrated metabolism of its multiple components remains unknown. In this paper, an ultra-performance liquid chromatography coupled with quadrupole time-of-flight tandem mass spectrometry (UPLC-Q-TOF-MS) method was developed for detection and identification of HLXLD metabolites in rat urine at high and normal clinical dosages. The prototype constituents and their metabolites in urine were analyzed. The mass measurements were accurate within 8 ppm, and subsequent fragment ions offered higher quality structural information for interpretation of the fragmentation pathways of various compounds. A total of 85 compounds were detected in high dosages urine samples by a highly sensitive extracted ion chromatograms method, including 31 parent compounds and 54 metabolites. Our results indicated that phase 2 reactions (e.g. glucuronidation, glutathionidation and sulfation) were the main metabolic pathways of lactones, alkaloids and flavones, while phase I reactions (e.g. hydrogenation and hydroxylation) were the major metabolic reaction for coumarins, paeoniflorin and iridoids. This investigation provided important structural information on the metabolism of HLXLD and provided scientific evidence to obtain a more comprehensive metabolic profile. PMID:26174205

  5. Ultra-high performance liquid chromatography with tandem mass spectrometry method for the simultaneous quantitation of five phthalides in rat plasma: Application to a comparative pharmacokinetic study of Huo Luo Xiao Ling Dan and herb-pair extract.

    PubMed

    Ma, Wen; Wang, Weihui; Peng, Yan; Bian, Qiaoxia; Wang, Nannan; Lee, David Y-W; Dai, Ronghua

    2016-06-01

    A fast, sensitive, and reliable ultra-high performance liquid chromatography with tandem mass spectrometry method has been developed and validated for the simultaneous quantitation and pharmacokinetic study of five phthalides (senkyunolide A, ligustilide, butylidenephthalide, 3-butylphthalide, and levistilide A) in rat plasma after oral administration of Huo Luo Xiao Ling Dan (HLXLD) or Angelica sinensis--Ligusticum chuanxiong herb pair (DG-CX) between normal and arthritis rats. After extraction from blood, the analytes and internal standard were subjected to ultra-high performance liquid chromatography with a Shim-pack XR-ODS column (75 × 3.0 mm(2) , 2.2 μm particles) and mobile phase was composed of methanol and water (containing 0.05% formic acid) under gradient elution conditions, with an electrospray ionization source in the positive ionization and multiple reaction monitoring mode. The lower limits of quantification were 0.192-0.800 ng/mL for all the analytes. Satisfactory linearity, precision, accuracy, mean extraction recovery, and acceptable matrix effect have been achieved. The validated method was successfully applied to a comparative pharmacokinetic study of five bioactive components in rat plasma after oral administration of HLXLD or DG-CX alone, respectively, between normal and arthritic rats. The results showed that there were unlike characters of pharmacokinetics among different groups. PMID:27062714

  6. Huo Hsing Vallis

    NASA Technical Reports Server (NTRS)

    2002-01-01

    [figure removed for brevity, see original site] (Released 12 July 2002) This image shows another example of an ancient channel in the Arabia Terra region of Mars. As with other channels observed on Mars, the geomorphology of Huo Hsing Vallis is suggestive of, and assumed to have been carved by, running water, although the fluid that flowed through these channels cannot be proven to have been water. This channel cuts through several layers of rocks. These rock layers may be sedimentary, composed of particles of other rocks that have been cemented together somehow, or they may be igneous layers, formed by the repeated eruption of lava (or some combination of sedimentary and igneous layers). The distinctive appearance of this terrain has led to its being described as 'etched'. Because the channel cuts through these rocks, the layered rocks must be older than the channel (see previous discussion of superposition). At the lower left side of the image, several intersecting ridges can be seen. These ridges may be inverted topography, or they may be exposed dikes, which form by linear intrusions of lava into rock underground; dikes are exposed by erosion of the overlying rock. The most recent activity in the region appears to be the formation of mega-ripples in the channel. Wind moving particles of rock forms these ripples perpendicular to the wind direction.

  7. Huo Hsing Vallis

    NASA Technical Reports Server (NTRS)

    2002-01-01

    (Released 5 June 2002) The Science A portion of an ancient channel called the Huo Hsing Vallis seen in the center of this image. As with all channel forms on Mars, it was carved by some moving fluid but that fluid can not automatically be assumed to be water. Lava and even wind can sculpt channel forms that mimic those of flowing water. In this case, the presence of pronounced oxbow bends in the channel favors the conclusion that water was the fluid. It is interesting that the ripple-like ridges on the channel floor mimic current ripples found in many streams on Earth. But the fluid responsible for their formation likely is the wind. Similar ripples occur in many places on Mars that have no relationship to channels. Surrounding the channel is an intensely eroded landscape known as etched terrain. The many layers that were deposited in the past are now being eroded away by the wind. In the process, unusual polygonal ridges are being exposed, the most prominent of which appear just north of the oxbow bends. The mechanism by with they form is poorly understood. It is possible that they began as polygonal troughs similar in form and origin as those that form in permafrost regions on Earth like the Canadian Arctic. If the troughs were subsequently filled in by sediment that solidified into a more resistant deposit than the surrounding material, later erosion would leave behind ridges in place of the former troughs. Known as inverted topography, there are examples of this type of landform in other etched terrains on Mars. The Story For thousands of years, many cultures the world over have studied the planets, first by observing their motions in the night sky, later through telescopes, and today through up-close observation enabled by spacecraft. Many places on Mars are given names that honor the long history of contributions by all peoples to Mars exploration. Huo Hsing, the Chinese word for the planet Mars, is the namesake of the ancient channel shown above. As with all

  8. Chwuech Manimba: Indigenous Creative Education among Women of the Luo Community of Western Kenya

    ERIC Educational Resources Information Center

    Wadende, Pamela Akinyi

    2011-01-01

    The aim of this dissertation is to present the procedure and proceedings of an instructional research into the teaching and learning among Luo women of Western Kenya. The purposes of the research are threefold. First, it seeks to document a system of indigenous adult education that has proved sustainable among Luo women from generation to…

  9. Infant Formula

    MedlinePlus

    ... it okay to feed my baby formula? Breast milk is the best source of nutrition for your ... will probably recommend a formula made from cow's milk. Some formulas are iron-fortified. This means they ...

  10. Assessment of effect of Zhu-tan Tong-luo decoction on CYP450 isoforms activity of rats

    PubMed Central

    Jin, Yongxi; Shao, Lingjiu; Li, Gaowen; Shao, Mengmeng; Zhi, Yinghao; Zhu, Wenzong

    2015-01-01

    In order to investigate the effects of Zhu-tan Tong-luo decoction on the metabolic capacity of cytochrome P450 (CYP) enzymes, a cocktail method was employed to evaluate the activities of CYP2B6, CYP2C19, CYP1A2, CYP3A4, CYP2C9, CYP2D6. The rats were randomly divided into acute Zhu-Tan Tong-Luo decoction group (Low, High), chronic Zhu-Tan Tong-Luo decoction group (Low, High) and control group. The acute group rats were given 0.6, 1.2 g/kg (Low, High) Zhu-tan Tong-luo decoction by intragastric administration for 1 day, and the chronic group for 14 days. Six probe drugs bupropion, omeprazole, phenacetin, testosterone, tolbutamide, and metroprolol were given to rats through intragastric administration, and the plasma concentrations were determined by UPLC-MS/MS. There statistical pharmacokinetics differences for omeprazole, phenacetin, testosterone, tolbutamide, and metroprolol in rats were observed by comparing acute Zhu-tan Tong-luo decoction group with control group; and statistical pharmacokinetics differences for bupropion, omeprazole, phenacetin, testosterone, tolbutamide, and metroprolol were observed by comparing chronic Zhu-Tan Tong-Luo decoction group with control group. After intragastric administration of Zhu-Tan Tong-Luo decoction may slightly induce the activities of CYP2B6, CYP2C19, CYP1A2, CYP3A4, CYP2C9, CYP2D6 of rats. Induction of drug metabolizing enzyme by Zhu-Tan Tong-Luo decoction would reduce the efficacy of other drug. Additional, there no statistical difference for biochemical results after 1 or 14 intragastric administration of Zhu-Tan Tong-Luo decoction. PMID:26629097

  11. [The influence of ZHU Gong's Huo ren shu (A Book for Savings Life)in the Southern Song Dynasty and its Influence on the discipline of Cold Pathogenic Disease].

    PubMed

    Lu, Ming-Xin

    2012-11-01

    ZHU Gong's Huo ren shu (A Book for Saving Life) is a famous work in the history of research on Treatise on Cold Damage Diseases. It has great influence on the study of cold pathogenic disease, especially that of the Song dynasty. Many authors reedited or annotated this book to inherit and developed the idea of the Huo ren shu. Thus, a lot of new books, including annotations, revisions, citations, or discussions, appeared. WANG Su's Zeng shi nan yang huo ren shu (Amplified Annotated Huorenshu), for example, is one of them. Those compiled as rhymes or knacks include XU Shu-wei's Shang han bai zheng ge (The Rhymes of Hundred Kinds of Cold Damage Disease), LI Zhi-xian's Huo ren shu kuo (Introduction to Huorenshu), QIAN Wen-li's Shang han bai wen ge (Hundred Questions on Cold Damage Disease), YANG Shi-ying's Shang han lei shu huo ren zong kuo (A General Introduction to Huorenshu, a Classified Book of Cold Damage Disease), and TANG Yin-cai's Shang han jie huo lun (Essay to Answering Suspicions on Cold Damage Disease). Those cited or inherited the book include LI Cheng's Shang han yao zhi (Gist of Cold Damage Disease), GUO Yong's Shang han bu wang lun (Supplements to Cold Damage Disease), SUN Zhi-ning's Shang han jian yao shi shuo (Ten Simple Discourses on Cold Damage Disease), and CHEN Zi-ming's Guan jian da quan liang fang (A Complete Effective Formulary with my Own Opinions). Those differentiating the essentials of the Huorenshu including CHENG Jiong's Huo ren shu bian (Differentiation for Huorenshu), and LU Zu-chang's Ni jin huo ren can tong yu yi (An Elaboration on Huorenshu to be Presented). All the above books indicate the impact of the Huorenshu, and show its influence on later ages as well. PMID:23363846

  12. Formula Budgeting

    ERIC Educational Resources Information Center

    Gardner, John C.

    1974-01-01

    Presents the mathematical formula devised by George O. Weber on budgeting for physical plants of colleges and universities. Uses four functions of administration, maintenance (operational), housekeeping/custodial, and grounds as a base. (Author/MLF)

  13. Du-Huo-Ji-Sheng-Tang Attenuates Inflammation of TNF-Tg Mice Related to Promoting Lymphatic Drainage Function

    PubMed Central

    Chen, Yan; Li, Jinlong; Li, Qiang; Wang, Tengteng; Xing, Lianping; Xu, Hao; Wang, Yongjun; Shi, Qi; Zhou, Quan; Liang, Qianqian

    2016-01-01

    To investigate whether Du-Huo-Ji-Sheng-Tang (DHJST) attenuate inflammation of RA related to lymphatic drainage function in vivo, we treated eight 3-month-old TNF-Tg mice with DHJST (12 g/kg) or the same volume of physiological saline once every day for 12 weeks, and 3-month-old WT littermates were used as negative control. After twelve weeks, we performed NIR-ICG imaging and found that DHJST increased the ICG clearance at the footpad and the pulse of efferent lymphatic vessel between popliteal lymph node and footpad. Histology staining at ankle joints showed that DHJST decreases synovial inflammation, bone erosion, cartilage erosion, and TRAP+ osteoclast area in TNF-Tg mice. Immunohistochemical staining by using anti-Lyve-1 and anti-podoplanin antibody showed that DHJST stimulated lymphangiogenesis in ankle joints of TNF-Tg mice. And zebrafish study suggested that DHJST promoted the formation of lymphatic thoracic duct. In conclusion, DHJST inhibits inflammation severity and promotes lymphangiogenesis and lymphatic drainage function of TNF-Tg mice. PMID:27239212

  14. Fishy Formulas.

    ERIC Educational Resources Information Center

    Bosch, William; Sizzo, Jennifer; Curtis, Anita; Klein, Shannon; Micale, Cheryl; Lin, E-Sin

    1997-01-01

    Describes an activity presented in sports fishing magazines on developing a formula that predicts the weight in pounds of a game fish given its length in inches by using a TI-83 graphing calculator. Highlights the importance of using real-life problems and mathematical explorations. (ASK)

  15. Subchronic 90-day oral (Gavage) toxicity study of a Luo Han Guo mogroside extract in dogs.

    PubMed

    Qin, X; Xiaojian, S; Ronggan, L; Yuxian, W; Zhunian, T; Shouji, G; Heimbach, J

    2006-12-01

    A combined 28-day and 90-day oral (Gavage) study was conducted in male and female dogs to investigate the safety of PureLo, a non-caloric sweetener derived from the Chinese fruit Luo Han Guo, which achieves its sweetness from the presence of triterpene glycosides known as mogrosides. Three dogs of each sex were administered 10 mL/kg bw/day of either an aqueous solution providing 3000 mg/kg bw/day of PureLo or distilled water for either 28 days or 90 days. Measurements included clinical observations, body weight, food consumption, hematology, blood chemistry, urinalysis, gross necropsy, organ weight, and histopathology. There were no significant adverse effects on any of these measures. Based on the lack of toxicological effects in the study, the NOAEL for PureLo is 3000 mg/kg bw/day when administered to dogs by Gavage for 90 consecutive days. PMID:17011100

  16. Operator splitting and adaptive mesh refinement for the Luo-Rudy I model

    NASA Astrophysics Data System (ADS)

    Trangenstein, John A.; Kim, Chisup

    2004-05-01

    We apply second-order operator splitting to the Luo-Rudy I model for electrical wave propagation in the heart. The purpose of the operator splitting is to separate the nonlinear but local reaction computations from the linear but globally coupled diffusion computations. This approach allows us to use local nonlinear iterations for the stiff nonlinear reactions and to solve global linear systems for the implicit treatment of diffusion. For computational efficiency, we use dynamically adaptive mesh refinement (AMR), involving hierarchies of unions of grid patches on distinct levels of refinement. The linear system for the discretization of the diffusion on the composite AMR grid is formulated via standard conforming finite elements on unions grid patches within a level of refinement and aligned mortar elements along interfaces between levels of refinement. The linear systems are solved iteratively by preconditioned conjugate gradients. Our preconditioner uses multiplicative domain decomposition between levels of refinement; the smoother involves algebraic additive domain decomposition between patches within a level of refinement, and Gauss-Seidel iteration within grid patches. Numerical results are presented in 1D and 2D, including spiral waves.

  17. Topical treatment with Tong-Luo-San-Jie Gel alleviates bone cancer pain in rats

    PubMed Central

    Wang, Juyong; Zhang, Ruixin; Dong, Changsheng; Jiao, Liying; Xu, Ling; Liu, Jiyong; Wang, Zhengtao; Ying, Qi Liang Mao; Fong, Harry; Lao, Lixing

    2012-01-01

    Ethnopharmacological relevance The herbal analgesic gel Tong-Luo-San-Jie (TLSJ) and its modifications are used in traditional Chinese medicine to manage cancer pain. However, its mechanisms are still unknown. Aim of the study To investigate the effects and mechanisms of TLSJ gel on bone cancer pain in a rat model. Materials and Methods A bone cancer pain rat model was established by inoculating Walker 256 rat carcinoma cells directly into the right tibial medullary cavity of Sprague-Dawley rats (150–170 g); Phosphate buffered saline (PBS) tibial inoculation was used as control. Cancer-bearing rats were treated twice a day with external TLSJ gel (0.5 g/cm2/day) or inert gel control for 21 days (n=10/group). Behavioral tests such as mechanical threshold and paw withdrawal latency (PWL) were carried out. Osteoclastic activities were determined and carboxyterminal pyridinoline cross-linked type I collagen telopeptides (ICTP) and bone-specific alkaline phosphatase (BAP) concentrations were detected with ELISA after treatment. Adverse effects were monitored, and biochemical and histological tests were performed in naïve rats treated with local TLSJ gel for six weeks. Results TLSJ treatment significantly restored bone cancer-induced decrease of PWL and mechanical threshold compared to inert gel. It also decreased the level of blood serum ICTP and BAP and inhibited osteoclast activities. No adverse effects or abnormal biochemical and histological changes were detected after TLSJ treatment. Conclusion The present study shows that TLSJ significantly inhibits bone cancer-induced thermal and mechanical sensitization. It suggests that the gel may be useful in managing cancer pain and that it may act by inhibiting osteoclastic activity. PMID:22960543

  18. Effects of “Bu Shen Huo Xue Decoction” on the Endometrial Morphology and Expression of Leukaemia Inhibitory Factor in the Rat Uterus during the Oestrous Cycle

    PubMed Central

    Yu, Yanyan; Tong, Qing; Ren, Ying; Jin, Zhe

    2013-01-01

    The purpose of this study was to explore the positive effects of Bu Shen Huo Xue Decoction (BSHXF) on assisted reproduction. The study aimed to evaluate whether BSHXD could improve endometrial morphology and increase the expression of LIF in a gonadotrophin-releasing hormone agonists (GnRHa) long protocol-induced rat model during metestrus, diestrus, proestrus, and oestrus. The BSHXD group presented significantly increased endometrium thickness and decreased MVD compared with the GnRHa long protocol group. In addition, the expression of LIF was significantly higher in the BSHXD group. There were no significant differences between the control group and the BSHXD group in terms of MVD and LIF expression. These results suggested that BSHXD can improve the endometrium development, reduce the abnormal angiogenesis, and increase the expression of receptivity markers in a GnRHa long protocol-induced rat model during the oestrous cycle, which might result in an endometrial environment better suited for female reproduction. PMID:23710223

  19. Cluster synchronization and spatio-temporal dynamics in networks of oscillatory and excitable Luo-Rudy cells

    NASA Astrophysics Data System (ADS)

    Kanakov, O. I.; Osipov, G. V.; Chan, C.-K.; Kurths, J.

    2007-03-01

    We study collective phenomena in nonhomogeneous cardiac cell culture models, including one- and two-dimensional lattices of oscillatory cells and mixtures of oscillatory and excitable cells. Individual cell dynamics is described by a modified Luo-Rudy model with depolarizing current. We focus on the transition from incoherent behavior to global synchronization via cluster synchronization regimes as coupling strength is increased. These regimes are characterized qualitatively by space-time plots and quantitatively by profiles of local frequencies and distributions of cluster sizes in dependence upon coupling strength. We describe spatio-temporal patterns arising during this transition, including pacemakers, spiral waves, and complicated irregular activity.

  20. Breastfeeding vs. Formula Feeding

    MedlinePlus

    ... breastfeed your baby or bottle feed using infant formula . Health experts agree that breastfeeding is the healthiest ... is hungry. You do not need to make formula before feeding, worry about clean water, or carry ...

  1. Infant formulas - overview

    MedlinePlus

    ... 6 months of life, infants need only breast milk or formula to meet all their nutritional needs. ... 12 months old who are not drinking breast milk . While there are some differences, infant formulas sold ...

  2. Infant formulas - overview

    MedlinePlus

    ... meet all their nutritional needs. Infant formulas include powders, concentrated liquids, and ready-to-use forms. ... it. Reflux formulas are pre-thickened with rice starch. They are usually needed only for infants with ...

  3. Surface-enhanced Raman scattering study of the healing of radial fractures treated with or without Huo-Xue-Hua-Yu decoction therapy

    NASA Astrophysics Data System (ADS)

    Chen, Weiwei; Huang, Hao; Chen, Rong; Feng, Shangyuan; Yu, Yun; Lin, Duo; Lin, Jia

    2014-11-01

    This study aimed to assess, through surface-enhanced Raman scattering (SERS) spectroscopy, the incorporation of calcium hydroxyapatite (CHA ~960 cm-1) and other biochemical substances in the repair of complete radial fractures in rabbits treated with or without Huo-Xue-Hua-Yu decoction (HXHYD) therapy. A total of 18 rabbits with complete radial fractures were randomly divided into two groups; one group was treated with HXHYD therapy and the other without therapy acted as a control. The animals were sacrificed at 15, 30 and 45 d after surgery. Specimens were routinely prepared for SERS measurement and high quality SERS spectra from a mixture of bone tissues and silver nanoparticles were obtained. The mineral-to-matrix ratios from the control and treated groups were calculated. Results showed that both deposition content of CHA measured by SERS spectroscopy and the mineral-to-matrix ratio in the treated group were always greater than those of the control group during the experiment, demonstrating that HXHYD therapy is effective in improving fracture healing and that SERS spectroscopy might be a novel tool to assess fracture healing.

  4. Detection and identification of Huo-Xue-Hua-Yu decoction (HXHYD) using surface-enhanced Raman scattering (SERS) spectroscopy and multivariate analysis

    NASA Astrophysics Data System (ADS)

    Chen, Weiwei; Lin, Jia; Chen, Rong; Feng, Shangyuan; Yu, Yun; Lin, Duo; Huang, Meizhen; Shi, Hong; Huang, Hao

    2015-04-01

    We have evaluated the capabilities of surface-enhanced Raman scattering (SERS) technology for analyzing two Huo-Xue-Hua-Yu decoctions (HXHYDs) prepared according to different prescriptions. The aim of this study was to evaluate the relevance of SERS technology applied to decoction of traditional Chinese medicines (TCM). HXHYD I was prepared according to the original prescription; the same preparation method was used for the HXHYD II, except for the crudeweight ratio described in the original prescription. There was no Raman signal in conventional Raman spectra of HXHYDs. Silver nanoparticles were directly mixed with HXHYDs to enhance the Raman scattering of biochemical constituents, and high quality SERS spectra were obtained. Significant differences in SERS spectra between HXHYD I and II can be observed, which showed special changes in the percentage of biochemical constituents in different decoctions. Principal components analysis (PCA) combined with linear discriminant analysis (LDA) were employed to generate diagnostic algorithms for classification of SERS spectra of two HXHYDs, and showed that a diagnostic accuracy of 100% can be achieved. This work demonstrated that the SERS technique has potential for spectral characteristic detection for decoction of TCM with high sensitivity, and that this technique, combined with PCA-LDA, can be used for quality control of the extracted decoction of TCM and production management of Chinese herbal preparations.

  5. Designing State Aid Formulas

    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…

  6. The Texas Formula System.

    ERIC Educational Resources Information Center

    Steen, Ralph W.; And Others

    Explained and illustrated is the formula funding system used for colleges and universities in Texas. This system is considerably more complicated than the formulas used in other states. Data for institutions in the state system for fiscal 1978 are presented; actual appropriations are used rather than requests, and formula-produced amounts are…

  7. A load factor formula

    NASA Technical Reports Server (NTRS)

    Miller, Roy G

    1927-01-01

    The ultimate test of a load factor formula is experience. The chief advantages of a semi rational formula over arbitrary factors are that it fairs in between points of experience and it differentiates according to variables within a type. Structural failure of an airplane apparently safe according to the formula would call for a specific change in the formula. The best class of airplanes with which to check a load factor formula seems to be those which have experienced structural failure. Table I comprises a list of the airplanes which have experienced failure in flight traceable to the wing structure. The load factor by formula is observed to be greater than the designed strength in each case, without a single exception. Table II comprises the load factor by formula with the designed strength of a number of well-known service types. The formula indicates that by far the majority of these have ample structural strength. One case considered here in deriving a suitable formula is that of a heavy load carrier of large size and practically no reserve power.

  8. Selected Baking Formulas.

    ERIC Educational Resources Information Center

    Bogdany, Melvin

    This manual is designed to help baking students learn to use formulas in the preparation of baking products. Tested and proven formulas are, for the most part, standard ones with only slight modifications. The recipes are taken mainly from bakery product manufacturers and are presented in quantities suitable for school-shop use. Each recipe…

  9. Traditional Chinese Medicine Tang-Luo-Ning Ameliorates Sciatic Nerve Injuries in Streptozotocin-Induced Diabetic Rats

    PubMed Central

    Zou, Da-Wei; Gao, Yan-Bin; Zhu, Zhi-Yao; Zhou, Hui; Zhang, Tao-Jing; Li, Bu-Man; Wang, Jin-Yang; Li, Min-Zhou; Ma, Ming-Fei; Zhang, Na

    2013-01-01

    Diabetic peripheral neuropathy (DPN) is a common microvascular complication of diabetes associated with high disability rate and low quality of life. Tang-Luo-Ning (TLN) is an effective traditional Chinese medicine for the treatment of DPN. To illustrate the underlying neural protection mechanisms of TLN, the effect of TLN on electrophysiology and sciatic nerve morphology was investigated in a model of streptozotocin-induced DPN, as well as the underlying mechanism. Sciatic motor nerve conduction velocity and digital sensory nerve conduction velocity were reduced in DPN and were significantly improved by TLN or α-lipoic acid at 10 and 20 weeks after streptozotocin injection. It was demonstrated that TLN intervention for 20 weeks significantly alleviated pathological injury as well as increased the phosphorylation of ErbB2, Erk, Bad (Ser112), and the mRNA expression of neuregulin 1 (Nrg1), GRB2-associated binding protein 1 (Gab1), and mammalian target of rapamycin (Mtor) in injured sciatic nerve. These novel therapeutic properties of TLN to promote Schwann cell survival may offer a promising alternative medicine for the patients to delay the progression of DPN. The underlying mechanism may be that TLN exerts neural protection effect after sciatic nerve injury through Nrg1/ErbB2→Erk/Bad Schwann cell survival signaling pathway. PMID:24288572

  10. Breastfeeding vs. Formula Feeding

    MedlinePlus

    ... Story" 5 Things to Know About Zika & Pregnancy Breastfeeding vs. Formula Feeding KidsHealth > For Parents > Breastfeeding vs. ... for you and your baby. continue All About Breastfeeding Nursing can be a wonderful experience for both ...

  11. Readability Formulas: Pluses and Minuses.

    ERIC Educational Resources Information Center

    Rygiel, Mary Ann

    1982-01-01

    Examines readability formulas and examples of their misuse. Analyzes an essay by George Orwell which was given a grade 10 readability level by one formula and discusses characteristics of Orwell's style that refute the accuracy of formula rating. (HTH)

  12. The Mystical "Quadratic Formula."

    ERIC Educational Resources Information Center

    March, Robert H.

    1993-01-01

    Uses projectile motion to explain the two roots found when using the quadratic formula. An example is provided for finding the time of flight for a projectile which has a negative root implying a negative time of flight. This negative time of flight also has a useful physical meaning. (MVL)

  13. 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…

  14. 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…

  15. Introducing Chemical Formulae and Equations.

    ERIC Educational Resources Information Center

    Dawson, Chris; Rowell, Jack

    1979-01-01

    Discusses when the writing of chemical formula and equations can be introduced in the school science curriculum. Also presents ways in which formulae and equations learning can be aided and some examples for balancing and interpreting equations. (HM)

  16. Budget Formulas and Model Building.

    ERIC Educational Resources Information Center

    Cope, Robert G.

    Selected budget formulas currently in use for university operations are described as a background for examining a budgetary model that would provide for the integration of separate formulas. Data on the formulas were collected from states with system-wide coordinating boards that are responsible for budgetary reviews. The most common formula…

  17. Positive quadrature formulas III

    NASA Astrophysics Data System (ADS)

    Peherstorfer, Franz

    2008-12-01

    First we discuss briefly our former characterization theorem for positive interpolation quadrature formulas (abbreviated qf), provide an equivalent characterization in terms of Jacobi matrices, and give links and applications to other qf, in particular to Gauss-Kronrod quadratures and recent rediscoveries. Then for any polynomial t_n which generates a positive qf, a weight function (depending on n ) is given with respect to which t_n is orthogonal to mathbb{P}_{n-1} . With the help of this result an asymptotic representation of the quadrature weights is derived. In general the asymptotic behaviour is different from that of the Gaussian weights. Only under additional conditions do the quadrature weights satisfy the so-called circle law. Corresponding results are obtained for positive qf of Radau and Lobatto type.

  18. Quadrature formulas for Fourier coefficients

    NASA Astrophysics Data System (ADS)

    Bojanov, Borislav; Petrova, Guergana

    2009-09-01

    We consider quadrature formulas of high degree of precision for the computation of the Fourier coefficients in expansions of functions with respect to a system of orthogonal polynomials. In particular, we show the uniqueness of a multiple node formula for the Fourier-Tchebycheff coefficients given by Micchelli and Sharma and construct new Gaussian formulas for the Fourier coefficients of a function, based on the values of the function and its derivatives.

  19. On generalized averaged Gaussian formulas

    NASA Astrophysics Data System (ADS)

    Spalevic, Miodrag M.

    2007-09-01

    We present a simple numerical method for constructing the optimal (generalized) averaged Gaussian quadrature formulas which are the optimal stratified extensions of Gauss quadrature formulas. These extensions exist in many cases in which real positive Kronrod formulas do not exist. For the Jacobi weight functions w(x)equiv w^{(alpha,beta)}(x)D(1-x)^alpha(1+x)^beta ( alpha,beta>-1 ) we give a necessary and sufficient condition on the parameters alpha and beta such that the optimal averaged Gaussian quadrature formulas are internal.

  20. A note on generalized averaged Gaussian formulas

    NASA Astrophysics Data System (ADS)

    Spalevic, Miodrag

    2007-11-01

    We have recently proposed a very simple numerical method for constructing the averaged Gaussian quadrature formulas. These formulas exist in many more cases than the real positive Gauss?Kronrod formulas. In this note we try to answer whether the averaged Gaussian formulas are an adequate alternative to the corresponding Gauss?Kronrod quadrature formulas, to estimate the remainder term of a Gaussian rule.

  1. Protective effects of a compound herbal extract (Tong Xin Luo) on free fatty acid induced endothelial injury: Implications of antioxidant system

    PubMed Central

    Zhang, Lin; Wu, Yiling; Jia, Zhenhua; Zhang, Yun; Shen, Hu Ying; Li Wang, Xing

    2008-01-01

    Background Tong-Xin-Luo (TXL) – a mixture of herbal extracts, has been used in Chinese medicine with established therapeutic efficacy in patients with coronary artery disease. Methods We investigated the protective role of TXL extracts on endothelial cells injured by a known risk factor – palmitic acid (PA), which is elevated in metabolic syndrome and associated with cardiovascular complications. Human aortic endothelial cells (HAECs) were preconditioned with TXL extracts before exposed to PA for 24 hours. Results We found that PA (0.5 mM) exposure induced 73% apoptosis in endothelial cells. However, when HAECs were preconditioned with ethanol extracted TXL (100 μg/ml), PA induced only 7% of the endothelial cells into apoptosis. Using antibody-based protein microarray, we found that TXL attenuated PA-induced activation of p38-MAPK stress pathway. To investigate the mechanisms involved in TXL's protective effects, we found that TXL reduced PA-induced intracellular oxidative stress. Through AMPK pathway, TXL restored the intracellular antioxidant system, which was depressed by the PA treatment, with an increased expression of thioredoxin and a decreased expression of the thioredoxin interacting protein. Conclusion In summary, our study demonstrates that TXL protects endothelial cells from PA-induced injury. This protection is likely mediated by boosting intracellular antioxidant capacity through AMPK pathway, which may account for the therapeutic efficacy in TXL-mediated cardiovascular protection. PMID:18625049

  2. A Formula for Writing Poetry.

    ERIC Educational Resources Information Center

    Evans, Peter O.

    1983-01-01

    Presents the formula for writing poetry as containing three elements: the content of the poet's mind; the poetic medium--language; and the creative spark that fuses experience and language, or content and medium, into poetry. (MM)

  3. A Salary Formula for Principals

    ERIC Educational Resources Information Center

    Gilbert, Michael B.

    1975-01-01

    When each administrative salary contract is negotiated individually, inequities creep in, many administrators feel. This article suggests a formula for determining principals' salaries based on education and experience, days of work, and responsibilities. (Editor)

  4. 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)

  5. Heron's Remarkable Triangle Area Formula.

    ERIC Educational Resources Information Center

    Oliver, Bernard M.

    1993-01-01

    Presents Heron's original geometric proof to his formula to calculate the area of a triangle. Attempts to improve on this proof by supplying a chain of reasoning that leads quickly from premises to the conclusion. (MDH)

  6. Summation formulae on trigonometric functions

    NASA Astrophysics Data System (ADS)

    Wang, Xin; Zheng, De-Yin

    2007-11-01

    Trigonometric sums over the angles equally distributed on the upper half plane are investigated systematically. Their generating functions and explicit formulae are established through the combination of the formal power series method and partial fraction decompositions.

  7. An energy loss straggling formula

    NASA Astrophysics Data System (ADS)

    Novković, D.; Subotić, K.; Milošević, Z.; Manić, S.; Stojanović, M.

    1994-12-01

    The analytical formulae for straggling widths were obtained solving Symon's equations for the second and third order central moments of the straggling distributions in non-relativistic approximation, enabling prediction of peak widths and asymmetry parameters of charged particle energy loss distributions for thick targets. The respective calculations based on these formulae were found to be in good agreement with experimental values for particle energy losses of light ions up to 70% of the nominal projectile energy value.

  8. Infant Formula - Buying, Preparing, Storing, and Feeding

    MedlinePlus

    ... page: //medlineplus.gov/ency/patientinstructions/000806.htm Infant Formula – Buying, Preparing, Storing, and Feeding To use the ... using infant formula . Buying, Preparing, and Storing Infant Formula The following tips can help you buy, prepare, ...

  9. 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…

  10. 27 CFR 17.121 - Product formulas.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Product formulas. 17.121... PRODUCTS Formulas and Samples § 17.121 Product formulas. (a) General. Except as provided in §§ 17.132 and 17.182, manufacturers shall file quantitative formulas for all preparations for which they intend...

  11. 27 CFR 25.57 - Formula information.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula information. 25.57... OF THE TREASURY LIQUORS BEER Miscellaneous Provisions Formulas § 25.57 Formula information. (a) Ingredient information. (1) For each formula you must list each separate ingredient and the specific...

  12. 24 CFR 92.50 - Formula allocation.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 24 Housing and Urban Development 1 2011-04-01 2011-04-01 false Formula allocation. 92.50 Section 92.50 Housing and Urban Development Office of the Secretary, Department of Housing and Urban Development HOME INVESTMENT PARTNERSHIPS PROGRAM Allocation Formula § 92.50 Formula allocation. (a) Jurisdictions eligible for a formula allocation. HUD...

  13. 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…

  14. CHY formula and MHV amplitudes

    NASA Astrophysics Data System (ADS)

    Du, Yi-Jian; Teng, Fei; Wu, Yong-Shi

    2016-05-01

    In this paper, we study the relation between the Cachazo-He-Yuan (CHY) formula and the maximal-helicity-violating (MHV) amplitudes of Yang-Mills and gravity in four dimensions. We prove that only one special rational solution of the scattering equations found by Weinzierl supports the MHV amplitudes. Namely, localized at this solution, the integrated CHY formula produces the Parke-Taylor formula for MHV Yang-Mills amplitudes as well as the Hodges formula for MHV gravitational amplitudes, with an arbitrary number of external gluons/gravitons. This is achieved by developing techniques, in a manifestly Möbius covariant formalism, to explicitly compute relevant reduced Pfaffians/determinants. We observe and prove two interesting properties (or identities), which facilitate the computations. We also check that all the other ( n - 3)! - 1 solutions to the scattering equations do not support the MHV amplitudes, and prove analytically that this is indeed true for the other special rational solution proposed by Weinzierl, that actually supports the anti-MHV amplitudes. Our results reveal a mysterious feature of the CHY formalism that in Yang-Mills and gravity theory, solutions of scattering equations, involving only external momenta, somehow know about the configuration of external polarizations of the scattering amplitudes.

  15. Stature estimation formulae for Nigerians.

    PubMed

    Didia, Blessing C; Nduka, Ethelbert C; Adele, Okechukwu

    2009-01-01

    In stature estimation, long limbs and the stature formula of Trotter and Gleser easily come to mind. In the recent past, a lot of workers have established formulae specific to their populations using whole length of limbs, fragmented bones, circumference of long bones, and even length of the vertebrae. We have in this work used tibia length, height of subjects, and the regression models to establish formulae specific to Nigerians. We measured height and tibia length of 200 (96 male and 104 female) adult Nigerians. The tibia length was measured from upper limit of the medial condoyle to the tip of medial malleolus using a measuring tape calibrated in meters while the height of individuals were also measured using meter scales. All measurements were made by one person, to avoid interobserver error, and repeatedly until a constant value is obtained. We obtained general formulae for males and females which compares favorably with that of Duyar and Pelin, and can be relied upon. PMID:19018931

  16. Formulas for determining rotational constants

    NASA Astrophysics Data System (ADS)

    Guelachvili, G.

    This document is part of Subvolume B `Linear Triatomic Molecules', Part 9, of Volume 20 `Molecular Constants mostly from Infrared Spectroscopy' of Landolt-Börnstein Group II `Molecules and Radicals'. Part of the introduction, it states formulas for determining rotational constants, band center, band origin, and quadrupole coupling. Specific comments relate to BHO (HBO) and COS (OCS).

  17. Financial Formulas for Library Networks.

    ERIC Educational Resources Information Center

    Hayes, Phoebe F.

    Formulas for the fiscal support of library networks are discussed against the perspective of present patterns of library funding. Provisions for financing current cooperative library programs are illustrative of the problems which might be encountered in networks. Several proposals for network development have been concerned with and provide some…

  18. Blackhole formula and example relativity

    NASA Astrophysics Data System (ADS)

    Shin, Philip

    Black hole formula 1) Second dimension (x,y) f(x)=y Energy E=m*c2 2) Third dimension (x,y,z) really x=y=z Black hole formula Root(c2)=c=Root(E/m) As mass go the velocity of light, mass become black hole so there are energy as multiply by mass. Example relativity When E=m*c2 1) Root(c2)=c=Root(E/m) 2) 3*c*Root(c2)=3*c*Root(E/m)=3*c2 From 1) to 2) as an example, As velocity is faster, mass increased. It means when velocity is increased, sec(time) is slower, and m(distance) is increased. The number is good to study physics.

  19. Trace formula for broken symmetry

    SciTech Connect

    Creagh, S.C.

    1996-05-01

    We derive a trace formula for systems that exhibit an approximate continuous symmetry. It interpolates between the sum over continuous families of periodic orbits that holds in the case of exact continuous symmetry, and the discrete sum over isolated orbits that holds when the symmetry is completely broken. It is based on a simple perturbation expansion of the classical dynamics, centered around the case of exact symmetry, and gives an approximation to the usual Gutzwiller formula when the perturbation is large. We illustrate the computation with some 2-dimensional examples: the deformation of the circular billiard into an ellipse, and anisotropic and anharmonic perturbations of a harmonic oscillator. Copyright {copyright} 1996 Academic Press, Inc.

  20. 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.

  1. Hydrolyzed Formula for Every Infant?

    PubMed

    Fleischer, David M; Venter, Carina; Vandenplas, Yvan

    2016-01-01

    Presently, hydrolyzed formulas (HF) are used primarily in infants that cannot be exclusively breastfed, those with cow's milk allergy and for primary prevention of allergic disease, but HFs are increasingly being used worldwide, begging the question if they may be recommended as the optimal choice for all standard-risk, full-term, non-exclusively breastfed infants. Data regarding the nutritional adequacy of modern-day HFs are scarce and lack long-term data suggesting that growth in infants fed HF versus an intact protein formula (IPF) is different. While human breast milk is the optimal source of nutrition for multiple reasons, a 2006 systematic review determined there were no comparable long-term studies regarding prolonged use of HFs versus breastfeeding. Meta-analyses of formula consumption and risk of atopic dermatitis (AD) have found that infants fed partially HF compared to IPF had a lower risk of AD, but there are significant limitations to these studies, making conclusions about the general use of HFs problematic. Costs should be considered in decision-making regarding the choice of the formula, but global comparison of this is difficult given large cost differences in different countries. Despite the issues raised here, the desire to provide concrete recommendations of widespread HF use needs to be balanced carefully in order not to overstate claims of benefit. Long-term studies are needed to investigate the feasibility of HF as a routine feeding option for healthy, standard-risk infants. Because of the paucity of data, routine use of HF as an equivalent option to breastfeeding or IPF cannot be supported at present based on available scientific evidence. PMID:27336594

  2. Composition formulas of binary eutectics

    NASA Astrophysics Data System (ADS)

    Ma, Y. P.; Dong, D. D.; Dong, C.; Luo, L. J.; Wang, Q.; Qiang, J. B.; Wang, Y. M.

    2015-12-01

    The present paper addresses the long-standing composition puzzle of eutectic points by introducing a new structural tool for the description of short-range-order structural unit, the cluster-plus-glue-atom model. In this model, any structure is dissociated into a 1st-neighbor cluster and a few glue atoms between the clusters, expressed by a cluster formula [cluster]gluex. This model is applied here to establish the structural model for eutectic liquids, assuming that a eutectic liquid consist of two subunits issued from the relevant eutectic phases, each being expressed by the cluster formula for ideal metallic glasses, i.e., [cluster](glue atom)1 or 3. A structural unit is then composed of two clusters from the relevant eutectic phases plus 2, 4, or 6 glue atoms. Such a dual cluster formulism is well validated in all boron-containing (except those located by the extreme phase diagram ends) and in some commonly-encountered binary eutectics, within accuracies below 1 at.%. The dual cluster formulas vary extensively and are rarely identical even for eutectics of close compositions. They are generally formed with two distinctly different cluster types, with special cluster matching rules such as cuboctahedron plus capped trigonal prism and rhombidodecahedron plus octahedral antiprism.

  3. Composition formulas of binary eutectics.

    PubMed

    Ma, Y P; Dong, D D; Dong, C; Luo, L J; Wang, Q; Qiang, J B; Wang, Y M

    2015-01-01

    The present paper addresses the long-standing composition puzzle of eutectic points by introducing a new structural tool for the description of short-range-order structural unit, the cluster-plus-glue-atom model. In this model, any structure is dissociated into a 1(st)-neighbor cluster and a few glue atoms between the clusters, expressed by a cluster formula [cluster]gluex. This model is applied here to establish the structural model for eutectic liquids, assuming that a eutectic liquid consist of two subunits issued from the relevant eutectic phases, each being expressed by the cluster formula for ideal metallic glasses, i.e., [cluster](glue atom)(1 or 3). A structural unit is then composed of two clusters from the relevant eutectic phases plus 2, 4, or 6 glue atoms. Such a dual cluster formulism is well validated in all boron-containing (except those located by the extreme phase diagram ends) and in some commonly-encountered binary eutectics, within accuracies below 1 at.%. The dual cluster formulas vary extensively and are rarely identical even for eutectics of close compositions. They are generally formed with two distinctly different cluster types, with special cluster matching rules such as cuboctahedron plus capped trigonal prism and rhombidodecahedron plus octahedral antiprism. PMID:26658618

  4. Composition formulas of binary eutectics

    PubMed Central

    Ma, Y. P.; Dong, D. D.; Dong, C.; Luo, L. J.; Wang, Q.; Qiang, J. B.; Wang, Y. M.

    2015-01-01

    The present paper addresses the long-standing composition puzzle of eutectic points by introducing a new structural tool for the description of short-range-order structural unit, the cluster-plus-glue-atom model. In this model, any structure is dissociated into a 1st-neighbor cluster and a few glue atoms between the clusters, expressed by a cluster formula [cluster]gluex. This model is applied here to establish the structural model for eutectic liquids, assuming that a eutectic liquid consist of two subunits issued from the relevant eutectic phases, each being expressed by the cluster formula for ideal metallic glasses, i.e., [cluster](glue atom)1 or 3. A structural unit is then composed of two clusters from the relevant eutectic phases plus 2, 4, or 6 glue atoms. Such a dual cluster formulism is well validated in all boron-containing (except those located by the extreme phase diagram ends) and in some commonly-encountered binary eutectics, within accuracies below 1 at.%. The dual cluster formulas vary extensively and are rarely identical even for eutectics of close compositions. They are generally formed with two distinctly different cluster types, with special cluster matching rules such as cuboctahedron plus capped trigonal prism and rhombidodecahedron plus octahedral antiprism. PMID:26658618

  5. 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.

  6. Improved Jänecke mass formula

    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.

  7. 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)

  8. 28 CFR 38.2 - Formula grants.

    Code of Federal Regulations, 2010 CFR

    2010-07-01

    ... 28 Judicial Administration 1 2010-07-01 2010-07-01 false Formula grants. 38.2 Section 38.2 Judicial Administration DEPARTMENT OF JUSTICE EQUAL TREATMENT FOR FAITH-BASED ORGANIZATIONS § 38.2 Formula... cooperative agreement funded by a formula or block grant from the Department. As used in this section,...

  9. 27 CFR 24.196 - Formula required.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula required. 24.196... OF THE TREASURY LIQUORS WINE Production of Special Natural Wine § 24.196 Formula required. Before producing any special natural wine, the proprietor shall receive approval of the formula by which it is...

  10. 27 CFR 20.101 - Drafting formulas.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Drafting formulas. 20.101... OF THE TREASURY LIQUORS DISTRIBUTION AND USE OF DENATURED ALCOHOL AND RUM Formulas and Statements of Process Approval Policies § 20.101 Drafting formulas. (a) In preparing Form 5150.19, the...

  11. 27 CFR 24.201 - Formula required.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula required. 24.201... OF THE TREASURY LIQUORS WINE Production of Agricultural Wine § 24.201 Formula required. Before producing any agricultural wine, the proprietor shall obtain an approval of the formula and process by...

  12. 15 CFR 923.110 - Allocation formula.

    Code of Federal Regulations, 2010 CFR

    2010-01-01

    ... 15 Commerce and Foreign Trade 3 2010-01-01 2010-01-01 false Allocation formula. 923.110 Section... Grants § 923.110 Allocation formula. (a) As required by subsection 306(a), the Secretary may make grants...) Allocation formula factors and weighting. Each State eligible to receive a financial assistance award...

  13. 7 CFR 251.7 - Formula adjustments.

    Code of Federal Regulations, 2010 CFR

    2010-01-01

    ... 7 Agriculture 4 2010-01-01 2010-01-01 false Formula adjustments. 251.7 Section 251.7 Agriculture... GENERAL REGULATIONS AND POLICIES-FOOD DISTRIBUTION THE EMERGENCY FOOD ASSISTANCE PROGRAM § 251.7 Formula adjustments. Formula adjustments. (a) Commodity adjustments. The Department will make annual adjustments...

  14. 10 CFR 455.31 - Allocation formulas.

    Code of Federal Regulations, 2010 CFR

    2010-01-01

    ... 10 Energy 3 2010-01-01 2010-01-01 false Allocation formulas. 455.31 Section 455.31 Energy... § 455.31 Allocation formulas. (a) Financial assistance for conducting technical assistance programs for... this section. (c) The allocation factor (K) shall be determined by the formula: EC14NO91.086 where,...

  15. 27 CFR 26.31 - Formula.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula. 26.31 Section 26... States From Areas Other Than Puerto Rico and the Virgin Islands § 26.31 Formula. (a) The amount of excise.... The formula shall be as follows: (1) Multiply the total excise taxes collected on rum brought into...

  16. 25 CFR 273.31 - Distribution formula.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 25 Indians 1 2010-04-01 2010-04-01 false Distribution formula. 273.31 Section 273.31 Indians... formula. (a) Funds shall be distributed to eligible contractors based upon the number of eligible Indian... formula. (b) The Assistant Secretary may make exceptions to the provisions of paragraph (a) of...

  17. 24 CFR 574.130 - Formula allocations.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 24 Housing and Urban Development 3 2010-04-01 2010-04-01 false Formula allocations. 574.130... URBAN DEVELOPMENT COMMUNITY FACILITIES HOUSING OPPORTUNITIES FOR PERSONS WITH AIDS Formula Entitlements § 574.130 Formula allocations. (a) Data sources. HUD will allocate funds based on the number of cases...

  18. 27 CFR 24.211 - Formula required.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula required. 24.211... OF THE TREASURY LIQUORS WINE Production of Other Than Standard Wine § 24.211 Formula required. The proprietor who desires to produce wine other than standard wine shall first obtain approval of the formula...

  19. 27 CFR 19.452 - Formulas.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... Denaturation § 19.452 Formulas. Spirits shall be denatured in accordance with formulas as authorized in 27 CFR... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formulas. 19.452 Section 19.452 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT...

  20. 27 CFR 20.91 - Formula.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula. 20.91 Section 20... TREASURY LIQUORS DISTRIBUTION AND USE OF DENATURED ALCOHOL AND RUM Formulas and Statements of Process § 20.91 Formula. (a) Each article made with specially denatured spirits shall be made in accordance...

  1. 5 CFR 1315.17 - Formulas.

    Code of Federal Regulations, 2010 CFR

    2010-01-01

    ... 5 Administrative Personnel 3 2010-01-01 2010-01-01 false Formulas. 1315.17 Section 1315.17 Administrative Personnel OFFICE OF MANAGEMENT AND BUDGET OMB DIRECTIVES PROMPT PAYMENT § 1315.17 Formulas. (a) Rebate formula. (1) Agencies shall determine credit card payment dates based on an analysis of the...

  2. 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…

  3. 24 CFR 92.50 - Formula allocation.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... 24 Housing and Urban Development 1 2014-04-01 2014-04-01 false Formula allocation. 92.50 Section 92.50 Housing and Urban Development Office of the Secretary, Department of Housing and Urban Development HOME INVESTMENT PARTNERSHIPS PROGRAM Allocation Formula § 92.50 Formula allocation....

  4. 24 CFR 92.50 - Formula allocation.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 24 Housing and Urban Development 1 2013-04-01 2013-04-01 false Formula allocation. 92.50 Section 92.50 Housing and Urban Development Office of the Secretary, Department of Housing and Urban Development HOME INVESTMENT PARTNERSHIPS PROGRAM Allocation Formula § 92.50 Formula allocation....

  5. 24 CFR 92.50 - Formula allocation.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... 24 Housing and Urban Development 1 2012-04-01 2012-04-01 false Formula allocation. 92.50 Section 92.50 Housing and Urban Development Office of the Secretary, Department of Housing and Urban Development HOME INVESTMENT PARTNERSHIPS PROGRAM Allocation Formula § 92.50 Formula allocation....

  6. Algebraic Formulas for Areas between Curves.

    ERIC Educational Resources Information Center

    Gabai, Hyman

    1982-01-01

    Korean secondary school students preparing for college learn about a simple algebraic formula for area bounded by a parabola and line. The approach does not seem well-known among American students. It is noted that, while the formula derivations rely on integration, algebra students could use the formulas without proofs. (MP)

  7. Exponential Formulae and Effective Operations

    NASA Technical Reports Server (NTRS)

    Mielnik, Bogdan; Fernandez, David J. C.

    1996-01-01

    One of standard methods to predict the phenomena of squeezing consists in splitting the unitary evolution operator into the product of simpler operations. The technique, while mathematically general, is not so simple in applications and leaves some pragmatic problems open. We report an extended class of exponential formulae, which yield a quicker insight into the laboratory details for a class of squeezing operations, and moreover, can be alternatively used to programme different type of operations, as: (1) the free evolution inversion; and (2) the soft simulations of the sharp kicks (so that all abstract results involving the kicks of the oscillator potential, become realistic laboratory prescriptions).

  8. [Infant formulas and soy protein-based formulas: current data].

    PubMed

    Bocquet, A; Bresson, J L; Briend, A; Chouraqui, J P; Darmaun, D; Dupont, C; Frelut, M L; Ghisolfi, J; Goulet, O; Putet, G; Rieu, D; Turck, D; Vidailhet, M

    2001-11-01

    For many years soy bean-based formulas (SBBF) were the only dietary product used for infants with cow's milk intolerance. At the present time, their place in infant nutrition is reduced as a result of the availability of new dietary products without lactose and/or cow's milk proteins and the recognition of soy bean protein allergy. There is no evidence that SBBF have any efficiency in infant colic. SBBF have no indication in the prevention of allergy, nor in premature infants' nutrition. Their main indication is the feeding of infants of vegetarian parents who do not want to use cow's milk products. Studies have shown that SBBF contain large quantities of phytoestrogens, particularly isoflavone. Because of experimental data suggesting a possible deleterious effect of phytoestrogens on the neuroendocrine maturation, the reduction of their content in SBBF must be considered. PMID:11760676

  9. Formulaic Language in Alzheimer’s Disease

    PubMed Central

    Bridges, Kelly Ann; Van Lancker Sidtis, Diana

    2013-01-01

    Background Studies of productive language in Alzheimer’s disease (AD) have focused on formal testing of syntax and semantics but have directed less attention to naturalistic discourse and formulaic language. Clinical observations suggest that individuals with AD retain the ability to produce formulaic language long after other cognitive abilities have deteriorated. Aims This study quantifies production of formulaic expressions in the spontaneous speech of individuals with AD. Persons with early- and late-onset forms of the disease were compared. Methods & Procedures Conversational language samples of individuals with early- (n = 5) and late-onset (n = 6) AD and healthy controls (n = 5) were analyzed to determine whether formulaic language, as measured by the number of words in formulaic expressions, differs between groups. Outcomes & Results Results indicate that individuals with AD, regardless of age of onset, used significantly more formulaic expressions than healthy controls. The early- and late-onset AD groups did not differ on formulaic language measures. Conclusions These findings contribute to a dual process model of cerebral function, which proposes differing processing principles for formulaic and novel expressions. In this model, subcortical areas, which remain intact into late in the progression of Alzheimer’s disease, play an important role in the production of formulaic language. Applications to clinical practice include identifying preserved formulaic language and providing informed counseling to patient and family. PMID:24187417

  10. Cottingham formula and nucleon polarisabilities

    NASA Astrophysics Data System (ADS)

    Gasser, J.; Hoferichter, M.; Leutwyler, H.; Rusetsky, A.

    2015-08-01

    The difference between the electromagnetic self-energies of proton and neutron can be calculated with the Cottingham formula, which expresses the self-energies as an integral over the electroproduction cross sections - provided the nucleon matrix elements of the current commutator do not contain a fixed pole. We show that, under the same proviso, the subtraction function occurring in the dispersive representation of the virtual Compton forward scattering amplitude is determined by the cross sections. The representation in particular leads to a parameter-free sum rule for the nucleon polarisabilities. We evaluate the sum rule for the difference between the electric polarisabilities of proton and neutron by means of the available parameterisations of the data and compare the result with experiment.

  11. Cosmological parallax-distance formula

    NASA Astrophysics Data System (ADS)

    Singal, Ashok K.

    2015-09-01

    The standard cosmological parallax-distance formula, as found in the literature, including text-books and reference books on cosmology, requires a correction. This correction stems from the fact that in the standard text-book derivation it has been ignored that any chosen baseline in a gravitationally bound system does not partake in the cosmological expansion. Though the correction is available in the literature for some time, the text-books still continue to use the older, incorrect formula, and its full implications are not yet fully realized. Apart from providing an alternate correct, closed-form expression that is more suitable and convenient for computations for certain limiting cases of FRW () world models, we also demonstrate how one can compute parallax distance for the currently favored flat-space accelerating-universe (, ) cosmologies. Further, we show that the correction in parallax distance at large redshifts could amount to a factor of three or even more. Moreover, even in an infinite universe the parallax distance does not increase indefinitely with redshift and that even the farthest possible observable point may have a finite parallax angle, a factor that needs to be carefully taken into account when using distant objects as the background field against which the parallax of a foreground object is to be measured. Some other complications that could arise in parallax measurements of a distant source, like that due to the deflection of incoming light by the gravitation field of the Sun and other planetary bodies in the solar system, are pointed out.

  12. 27 CFR 26.225 - Previously approved formulas.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... formulas. 26.225 Section 26.225 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE... Formulas for Products From the Virgin Islands § 26.225 Previously approved formulas. Any formula approved... voluntarily surrendered. Any person holding such a formula is not required to submit a new formula. If...

  13. 27 CFR 26.55 - Previously approved formulas.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... formulas. 26.55 Section 26.55 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE... Formulas for Products From Puerto Rico § 26.55 Previously approved formulas. Any formula approved on Form... surrendered. Any person holding such a formula is not required to submit a new formula. If an approved...

  14. Rainfall intensity-duration-frequency formulas.

    USGS Publications Warehouse

    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

  15. Efficient formulas for efficiency correction of cumulants

    NASA Astrophysics Data System (ADS)

    Kitazawa, Masakiyo

    2016-04-01

    Formulas connecting cumulants of particle numbers observed with efficiency losses with the original ones are derived based on the binomial model. These formulas can be applied to quantities given by a linear combination of particle numbers observed with different efficiencies in a compact form. Compared with the presently suggested ones based on factorial moments, these formulas would drastically reduce the numerical cost for the efficiency corrections when the order of the cumulant and the number of different efficiencies are large. The efficiency correction with realistic pT-dependent efficiency would be carried out with the aid of these formulas.

  16. A Network Pharmacology Approach to Understanding the Mechanisms of Action of Traditional Medicine: Bushenhuoxue Formula for Treatment of Chronic Kidney Disease

    PubMed Central

    Zheng, Xiao-yong; Cao, Dong-sheng; Ye, Fa-qing; Xiang, Zheng

    2014-01-01

    Traditional Chinese medicine (TCM) has unique therapeutic effects for complex chronic diseases. However, for the lack of an effective systematic approach, the research progress on the effective substances and pharmacological mechanism of action has been very slow. In this paper, by incorporating network biology, bioinformatics and chemoinformatics methods, an integrated approach was proposed to systematically investigate and explain the pharmacological mechanism of action and effective substances of TCM. This approach includes the following main steps: First, based on the known drug targets, network biology was used to screen out putative drug targets; Second, the molecular docking method was used to calculate whether the molecules from TCM and drug targets related to chronic kidney diseases (CKD) interact or not; Third, according to the result of molecular docking, natural product-target network, main component-target network and compound-target network were constructed; Finally, through analysis of network characteristics and literature mining, potential effective multi-components and their synergistic mechanism were putatively identified and uncovered. Bu-shen-Huo-xue formula (BSHX) which was frequently used for treating CKD, was used as the case to demonstrate reliability of our proposed approach. The results show that BSHX has the therapeutic effect by using multi-channel network regulation, such as regulating the coagulation and fibrinolytic balance, and the expression of inflammatory factors, inhibiting abnormal ECM accumulation. Tanshinone IIA, rhein, curcumin, calycosin and quercetin may be potential effective ingredients of BSHX. This research shows that the integration approach can be an effective means for discovering active substances and revealing their pharmacological mechanisms of TCM. PMID:24598793

  17. Preclinical assessment of infant formula.

    PubMed

    Lönnerdal, Bo

    2012-01-01

    Infant formulas are the sole or predominant source of nutrition for many infants and are fed during a sensitive period of development and may therefore have short- and long-term consequences for infant health. Preclinical safety assessment therefore needs to include both short-term and long-term studies in animals. It is recommended that procedures are instituted by which experts may serve as independent scientists for companies developing novel products, without having their integrity compromised, and later serve the legislative institutions. A two-level assessment approach to determine the potential toxicity of a novel ingredient, its metabolites, and their effects in the matrix on developing organ systems has been suggested by IOM. This appears reasonable, as novel ingredients can be of different levels of concern. The use of modern methods in genomics and proteomics should be considered in these evaluation processes as well as novel methods to evaluate outcomes, including metabolomics and molecular techniques to assess the microbiome. PMID:22699767

  18. 40 CFR 74.26 - Allocation formula.

    Code of Federal Regulations, 2010 CFR

    2010-07-01

    ... 40 Protection of Environment 16 2010-07-01 2010-07-01 false Allocation formula. 74.26 Section 74.26 Protection of Environment ENVIRONMENTAL PROTECTION AGENCY (CONTINUED) AIR PROGRAMS (CONTINUED) SULFUR DIOXIDE OPT-INS Allowance Calculations for Combustion Sources § 74.26 Allocation formula. (a)...

  19. 38 CFR 9.12 - Reinsurance formula.

    Code of Federal Regulations, 2010 CFR

    2010-07-01

    ... 38 Pensions, Bonuses, and Veterans' Relief 1 2010-07-01 2010-07-01 false Reinsurance formula. 9.12 Section 9.12 Pensions, Bonuses, and Veterans' Relief DEPARTMENT OF VETERANS AFFAIRS SERVICEMEMBERS' GROUP LIFE INSURANCE AND VETERANS' GROUP LIFE INSURANCE § 9.12 Reinsurance formula. The allocation...

  20. 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)

  1. Alternative Derivations for the Poisson Integral Formula

    ERIC Educational Resources Information Center

    Chen, J. T.; Wu, C. S.

    2006-01-01

    Poisson integral formula is revisited. The kernel in the Poisson integral formula can be derived in a series form through the direct BEM free of the concept of image point by using the null-field integral equation in conjunction with the degenerate kernels. The degenerate kernels for the closed-form Green's function and the series form of Poisson…

  2. 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…

  3. 27 CFR 5.26 - Formula requirements.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2014-04-01 2014-04-01 false Formula requirements. 5.26 Section 5.26 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL LABELING AND ADVERTISING OF DISTILLED SPIRITS Formulas § 5.26...

  4. 27 CFR 5.26 - Formula requirements.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula requirements. 5.26 Section 5.26 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT... requirements. (a) General. An approved formula is required to blend, mix, purify, refine, compound, or...

  5. 27 CFR 5.26 - Formula requirements.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2012-04-01 2012-04-01 false Formula requirements. 5.26 Section 5.26 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT... requirements. (a) General. An approved formula is required to blend, mix, purify, refine, compound, or...

  6. 27 CFR 5.26 - Formula requirements.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Formula requirements. 5.26 Section 5.26 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL LABELING AND ADVERTISING OF DISTILLED SPIRITS Formulas § 5.26...

  7. Body surface area formulae: an alarming ambiguity.

    PubMed

    Redlarski, Grzegorz; Palkowski, Aleksander; Krawczuk, Marek

    2016-01-01

    Body surface area (BSA) plays a key role in several medical fields, including cancer chemotherapy, transplantology, burn treatment and toxicology. BSA is often a major factor in the determination of the course of treatment and drug dosage. A series of formulae to simplify the process have been developed. Because easy-to-identify, yet general, body coefficient results of those formulae vary considerably, the question arises as to whether the choice of a particular formula is valid and safe for patients. Here we show that discrepancies between most of the known BSA formulae can reach 0.5 m(2) for the standard adult physique. Although many previous studies have demonstrated that certain BSA formulae provide an almost exact fit with the patients examined, all of these studies have been performed on a limited and isolated group of people. Our analysis presents a broader perspective, considering 25 BSA formulae. The analysis revealed that the choice of a particular formula is a difficult task. Differences among calculations made by the formulae are so great that, in certain cases, they may considerably affect patients' mortality, especially for people with an abnormal physique or for children. PMID:27323883

  8. How to Save Money on Infant Formula

    MedlinePlus

    ... months. Here are some ways you can save money on infant formula . ... Here are a few ways to save money on infant formula: DO NOT buy just one type of baby bottle at first. Try a few different types to see which kind ...

  9. 28 CFR 38.2 - Formula grants.

    Code of Federal Regulations, 2011 CFR

    2011-07-01

    ... 28 Judicial Administration 1 2011-07-01 2011-07-01 false Formula grants. 38.2 Section 38.2 Judicial Administration DEPARTMENT OF JUSTICE EQUAL TREATMENT FOR FAITH-BASED ORGANIZATIONS § 38.2 Formula grants. (a) Religious organizations are eligible, on the same basis as any other organization, to participate in any Department program for which...

  10. Body surface area formulae: an alarming ambiguity

    PubMed Central

    Redlarski, Grzegorz; Palkowski, Aleksander; Krawczuk, Marek

    2016-01-01

    Body surface area (BSA) plays a key role in several medical fields, including cancer chemotherapy, transplantology, burn treatment and toxicology. BSA is often a major factor in the determination of the course of treatment and drug dosage. A series of formulae to simplify the process have been developed. Because easy-to-identify, yet general, body coefficient results of those formulae vary considerably, the question arises as to whether the choice of a particular formula is valid and safe for patients. Here we show that discrepancies between most of the known BSA formulae can reach 0.5 m2 for the standard adult physique. Although many previous studies have demonstrated that certain BSA formulae provide an almost exact fit with the patients examined, all of these studies have been performed on a limited and isolated group of people. Our analysis presents a broader perspective, considering 25 BSA formulae. The analysis revealed that the choice of a particular formula is a difficult task. Differences among calculations made by the formulae are so great that, in certain cases, they may considerably affect patients’ mortality, especially for people with an abnormal physique or for children. PMID:27323883

  11. 10 CFR 905.33 - Extension formula.

    Code of Federal Regulations, 2013 CFR

    2013-01-01

    ... 10 Energy 4 2013-01-01 2013-01-01 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 be extended to an existing customer shall be determined according...

  12. 10 CFR 905.33 - Extension formula.

    Code of Federal Regulations, 2014 CFR

    2014-01-01

    ... 10 Energy 4 2014-01-01 2014-01-01 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 be extended to an existing customer shall be determined according...

  13. 10 CFR 905.33 - Extension formula.

    Code of Federal Regulations, 2012 CFR

    2012-01-01

    ... 10 Energy 4 2012-01-01 2012-01-01 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 be extended to an existing customer shall be determined according...

  14. 10 CFR 905.33 - Extension formula.

    Code of Federal Regulations, 2010 CFR

    2010-01-01

    ... 10 Energy 4 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 be extended to an existing customer shall be determined according...

  15. 10 CFR 905.33 - Extension formula.

    Code of Federal Regulations, 2011 CFR

    2011-01-01

    ... 10 Energy 4 2011-01-01 2011-01-01 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 be extended to an existing customer shall be determined according...

  16. Review of "Weighted Student Formula Yearbook 2009"

    ERIC Educational Resources Information Center

    Baker, Bruce

    2009-01-01

    The new "Weighted Student Formula Yearbook 2009" from the Reason Foundation provides a simple framework for touting the successes of states and urban school districts that grant greater fiscal autonomy to schools. The report defines the Weighted Student Formula (WSF) reform extremely broadly, presenting a variety of reforms under the WSF umbrella.…

  17. Formulas in Physics Have a "Standard" Form

    ERIC Educational Resources Information Center

    Moelter, Matthew J.; Jackson, Martin

    2012-01-01

    We discuss the importance of the ordering of symbols in physics formulas and identify implicit conventions that govern the "standard" form for how formulas are written and interpreted. An important part of writing and reading this form is understanding distinctions among constants, parameters, and variables. We delineate these conventions and…

  18. The health implications of soy infant formula

    Technology Transfer Automated Retrieval System (TEKTRAN)

    Soy formula (SF) has been fed to millions of infants worldwide. It has been shown to promote growth and development as well as milk-based formula (MF) does. Controversy has developed over the adequacy and safety of SF. Most concerns are based on in vivo and in vitro data that raise the possibility o...

  19. 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 ...

  20. Using Programmable Calculators to Evaluate Complicated Formulas.

    ERIC Educational Resources Information Center

    Snover, Stephen L.; Spikell, Mark A.

    The application of the programmable calculator to evaluating complicated formulas is illustrated by considering the formula for finding the area of any triangle when only the lengths of the three sides are known. Other advantages of the programmable calculator are discussed such as freeing the student to explore more challenging problems and…

  1. Funding the Formula Adequately in Oklahoma

    ERIC Educational Resources Information Center

    Hancock, Kenneth

    2015-01-01

    This report is a longevity, simulational study that looks at how the ratio of state support to local support effects the number of school districts that breaks the common school's funding formula which in turns effects the equity of distribution to the common schools. After nearly two decades of adequately supporting the funding formula, Oklahoma…

  2. Teaching Structural Formulas in Chemistry: How Students Relate Structural Formulas to the Solubility of Substances.

    ERIC Educational Resources Information Center

    Goedhart, Martin; van Duin, Yvonne

    Structural formulas give professional chemists information about physical and chemical properties of corresponding compounds. In chemistry education at secondary schools, structural formulas are introduced in the context of chemical bonding. Structural formulas are not introduced as representations of the properties of chemical compounds. This…

  3. Consistent Numerical Expressions for Precession Formulae.

    NASA Astrophysics Data System (ADS)

    Soma, M.

    The precession formulae by Lieske et al. (1977) have been used since 1984 for calculating apparent positions and reducing astrometric observations of celestial objects. These formulae are based on the IAU (1976) Astronomical Constants, some of which deviate from their recently determined values. They are also derived using the secular variations of the ecliptic pole from Newcomb's theory, which is not consistent with the recent planetary theories. Accordingly Simon et al. (1994) developed new precession formulae using the recently determined astronomical constants and also being based on the new planetary theory VSOP87. There are two differing definitions of the ecliptic: ecliptic in the inertial sense and ecliptic in the rotating sense (Standish 1981). The ecliptic given by the VSOP87 theory is that in the inertial sense, but the value for obliquity Simon et al. used is the obliquity in the rotating sense. Therefore their precession formulae has inconsistency. This paper gives corrections for consistent precession formulae.

  4. The Lichnerowicz-Weitzenboeck formula and superconductivity

    SciTech Connect

    Vargas-Paredes, Alfredo A.; Doria, Mauro M.; Neto, Jose Abdala Helayeel

    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.

  5. A ``fractal'' modification of Torricelli's formula

    NASA Astrophysics Data System (ADS)

    Maramathas, Athanasios J.; Boudouvis, Andreas G.

    2010-03-01

    A modification is proposed of Torricelli’s (1608-1647) formula for the velocity of water discharging from a small hole at the bottom of a large tank filled with fractal solid material. The new formula takes proper account of the mechanical energy losses due to flow in the solid matrix, thus expanding the area of validity of the classical Torricelli’s formula. Moreover, it offers a convenient alternative to Darcy’s law for estimating the discharge rate from an aquifer. The new formula was derived from laboratory experiments, with a low-Reynolds number discharge flow (Darcian flow). It was tested in a natural karst aquifer where the flow is non-Darcian, at Almiros spring on the island of Crete (Greece). In both cases, the predictive capability of the modified formula is established.

  6. Effectiveness, Medication Patterns, and Adverse Events of Traditional Chinese Herbal Patches for Osteoarthritis: A Systematic Review

    PubMed Central

    Wang, Xuezong; Liu, Ting; Gao, Ningyang; Ding, Daofang; Duan, Tieli; Cao, Yuelong; Zheng, Yuxin

    2014-01-01

    Objective. The aim of this study is to systematically evaluate the evidence whether traditional Chinese herbal patches (TCHPs) for osteoarthritis (OA) are effective and safe and analyze their medication patterns. Methods. A systematic literature search was performed using all the possible Medical Subject Headings (MeSH) and keywords from January 1979 to July 2013. Both randomized controlled trials (RCTs) and observational studies were included. Estimated effects were analyzed using mean difference (MD) or relative risk (RR) with 95% confidence intervals (CI) and meta-analysis. Results. 86 kinds of TCHPs were identified. RCTs and controlled clinical trials (CCTs) which were mostly of low quality favored TCHPs for local pain and dysfunction relief. TCHPs, compared with diclofenac ointment, had significant effects on global effectiveness rate (RR = 0.50; 95% CI (0.29, 0.87)). Components of formulae were mainly based on the compounds “Xiao Huo Luo Dan” (Minor collateral-freeing pill) and “Du Huo Ji Sheng Tang” (Angelicae Pubescentis and Loranthi decoction). Ten kinds of adverse events (AEs), mainly consisting of itching and/or local skin rashes, were identified after 3-4 weeks of follow-up. Conclusions. TCHPs have certain evidence in improving global effectiveness rate for OA; however, more rigorous studies are warranted to support their use. PMID:24527043

  7. 27 CFR 17.137 - Formulas disapproved for drawback.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formulas disapproved for... NONBEVERAGE PRODUCTS Formulas and Samples Approval of Formulas § 17.137 Formulas disapproved for drawback. A formula may be disapproved for drawback either because it does not prescribe appropriate ingredients...

  8. 27 CFR 21.52 - Formula No. 27.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 27. 21.52... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.52 Formula No. 27. (a) Formula. To every 100 gallons of alcohol add:...

  9. 27 CFR 21.45 - Formula No. 20.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 20. 21.45... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.45 Formula No. 20. (a) Formula. To every 100 gallons of alcohol add:...

  10. 27 CFR 21.44 - Formula No. 19.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 19. 21.44... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.44 Formula No. 19. (a) Formula. To every 100 gallons of alcohol add:...

  11. 27 CFR 21.54 - Formula No. 27-B.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 27-B. 21.54... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.54 Formula No. 27-B. (a) Formula. To every 100 gallons of alcohol add:...

  12. 27 CFR 21.36 - Formula No. 3-B.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 3-B. 21.36... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.36 Formula No. 3-B. (a) Formula. To every 100 gallons of alcohol add:...

  13. 27 CFR 17.122 - Amended or revised formulas.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... formulas. 17.122 Section 17.122 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE... NONBEVERAGE PRODUCTS Formulas and Samples § 17.122 Amended or revised formulas. Except as provided in this section, amended or revised formulas are considered to be new formulas and shall be numbered...

  14. 27 CFR 21.38 - Formula No. 4.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 4. 21.38... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.38 Formula No. 4. (a) Formula. To every 100 gallons of alcohol, or to...

  15. 27 CFR 21.24 - Formula No. 20.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 20. 21.24... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Completely Denatured Alcohol Formulas § 21.24 Formula No. 20. (a) Formula. To every 100 gallons of ethyl alcohol of not less than 195...

  16. 27 CFR 20.115 - Ink general-use formula.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Ink general-use formula..., DEPARTMENT OF THE TREASURY LIQUORS DISTRIBUTION AND USE OF DENATURED ALCOHOL AND RUM Formulas and Statements of Process General-Use Formulas § 20.115 Ink general-use formula. Ink general-use formula is...

  17. 27 CFR 25.56 - Filing of formulas.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Filing of formulas. 25.56... OF THE TREASURY LIQUORS BEER Miscellaneous Provisions Formulas § 25.56 Filing of formulas. (a) What are the general requirements for filing a formula? (1) You must file your formula in writing....

  18. 27 CFR 21.46 - Formula No. 22.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 22. 21.46... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.46 Formula No. 22. (a) Formula. To every 100 gallons of alcohol add:...

  19. 27 CFR 21.70 - Formula No. 39-A.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 39-A. 21.70... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.70 Formula No. 39-A. (a) Formula. To every 100 gallons of alcohol add:...

  20. 27 CFR 24.127 - Adoption of formulas.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Adoption of formulas. 24... Establishment § 24.127 Adoption of formulas. The adoption of approved formulas by a successor proprietor will be... formulas for adoption by formula number, name of product, and date of approval. The application...

  1. 27 CFR 24.127 - Adoption of formulas.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Adoption of formulas. 24... Establishment § 24.127 Adoption of formulas. The adoption of approved formulas by a successor proprietor will be... formulas for adoption by formula number, name of product, and date of approval. The application...

  2. 27 CFR 24.127 - Adoption of formulas.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2014-04-01 2014-04-01 false Adoption of formulas. 24... Establishment § 24.127 Adoption of formulas. The adoption of approved formulas by a successor proprietor will be... formulas for adoption by formula number, name of product, and date of approval. The application...

  3. 27 CFR 24.127 - Adoption of formulas.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Adoption of formulas. 24... Establishment § 24.127 Adoption of formulas. The adoption of approved formulas by a successor proprietor will be... formulas for adoption by formula number, name of product, and date of approval. The application...

  4. 27 CFR 24.127 - Adoption of formulas.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2012-04-01 2012-04-01 false Adoption of formulas. 24... Establishment § 24.127 Adoption of formulas. The adoption of approved formulas by a successor proprietor will be... formulas for adoption by formula number, name of product, and date of approval. The application...

  5. The Processing on Different Types of English Formulaic Sequences

    ERIC Educational Resources Information Center

    Qian, Li

    2015-01-01

    Formulaic sequences are found to be processed faster than their matched novel phrases in previous studies. Given the variety of formulaic types, few studies have compared processing on different types of formulaic sequences. The present study explored the processing among idioms, speech formulae and written formulae. It has been found that in…

  6. 27 CFR 21.55 - Formula No. 28-A.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 28-A. 21.55... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.55 Formula No. 28-A. (a) Formula. To every 100 gallons of alcohol add:...

  7. 27 CFR 21.67 - Formula No. 38-D.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 38-D. 21.67... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.67 Formula No. 38-D. (a) Formula. To every 100 gallons of alcohol add:...

  8. 27 CFR 21.66 - Formula No. 38-C.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 38-C. 21.66... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.66 Formula No. 38-C. (a) Formula. To every 100 gallons of alcohol add:...

  9. 27 CFR 21.64 - Formula No. 37.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 37. 21.64... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.64 Formula No. 37. (a) Formula. To every 100 gallons of alcohol add:...

  10. Simple formula for estimating airplane ceilings

    NASA Technical Reports Server (NTRS)

    Diehl, Walter S

    1922-01-01

    The aeronautical engineer often has occasion to estimate the absolute ceiling of an airplane for which a detailed performance calculation is out of the question. In such cases it is customary to use either empirical performance charts or formulae. The performance charts given in several of the recent works on aeronautics are satisfactory so long as the airplane under consideration does not depart too far from the average in its characteristics. The formulae, with one exception, are no better. Given here is that exception, with indications of which terms of the formula may be neglected without seriously affecting the results, thus simplifying the task.

  11. The Parisi Formula has a Unique Minimizer

    NASA Astrophysics Data System (ADS)

    Auffinger, Antonio; Chen, Wei-Kuo

    2015-05-01

    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.

  12. [Formula: see text] and [Formula: see text] Spoken Word Processing: Evidence from Divided Attention Paradigm.

    PubMed

    Shafiee Nahrkhalaji, Saeedeh; Lotfi, Ahmad Reza; Koosha, Mansour

    2016-10-01

    The present study aims to reveal some facts concerning first language ([Formula: see text] and second language ([Formula: see text] spoken-word processing in unbalanced proficient bilinguals using behavioral measures. The intention here is to examine the effects of auditory repetition word priming and semantic priming in first and second languages of these bilinguals. The other goal is to explore the effects of attention manipulation on implicit retrieval of perceptual and conceptual properties of spoken [Formula: see text] and [Formula: see text] words. In so doing, the participants performed auditory word priming and semantic priming as memory tests in their [Formula: see text] and [Formula: see text]. In a half of the trials of each experiment, they carried out the memory test while simultaneously performing a secondary task in visual modality. The results revealed that effects of auditory word priming and semantic priming were present when participants processed [Formula: see text] and [Formula: see text] words in full attention condition. Attention manipulation could reduce priming magnitude in both experiments in [Formula: see text]. Moreover, [Formula: see text] word retrieval increases the reaction times and reduces accuracy on the simultaneous secondary task to protect its own accuracy and speed. PMID:26643309

  13. Some Simple Computational Formulas for Multiple Regression

    ERIC Educational Resources Information Center

    Aiken, Lewis R., Jr.

    1974-01-01

    Short-cut formulas are presented for direct computation of the beta weights, the standard errors of the beta weights, and the multiple correlation coefficient for multiple regression problems involving three independent variables and one dependent variable. (Author)

  14. How to Save Money on Infant Formula

    MedlinePlus

    ... use a different liner with each feeding, which costs more. If your baby needs special formula because ... see if your insurance will help cover the cost. Not all health plans offer this coverage, but ...

  15. 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)

  16. A Summation Formula for Macdonald Polynomials

    NASA Astrophysics Data System (ADS)

    de Gier, Jan; Wheeler, Michael

    2016-03-01

    We derive an explicit sum formula for symmetric Macdonald polynomials. Our expression contains multiple sums over the symmetric group and uses the action of Hecke generators on the ring of polynomials. In the special cases {t = 1} and {q = 0}, we recover known expressions for the monomial symmetric and Hall-Littlewood polynomials, respectively. Other specializations of our formula give new expressions for the Jack and q-Whittaker polynomials.

  17. 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.

  18. 27 CFR 26.54 - Filing and disposition of formulas.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... BUREAU, DEPARTMENT OF THE TREASURY LIQUORS LIQUORS AND ARTICLES FROM PUERTO RICO AND THE VIRGIN ISLANDS Formulas for Products From Puerto Rico § 26.54 Filing and disposition of formulas. Formulas required...

  19. A Connection Formula for the q-Confluent Hypergeometric Function

    NASA Astrophysics Data System (ADS)

    Morita, Takeshi

    2013-07-01

    We show a connection formula for the q-confluent hypergeometric functions {}_2ϕ_1(a,b;0;q,x). Combining our connection formula with Zhang's connection formula for {}_2ϕ_0(a,b;-;q,x), we obtain the connection formula for the q-confluent hypergeometric equation in the matrix form. Also we obtain the connection formula of Kummer's confluent hypergeometric functions by taking the limit qto 1^{-} of our connection formula.

  20. Bellco Formula Domus Home Care System.

    PubMed

    Trewin, Elizabeth

    2004-01-01

    There are certain characteristics in a dialysis machine that would be desirable for use in home and limited care environments. These features relate to safety, ease of use, consideration of physical space, and reliability. The Bellco Formula Domus Home Care System was designed to meet all these requirements. Bellco's philosophy of patient treatment centers on global biocompatibility. This is evident in the design of the Formula Domus Home Care System. It has the smallest hydraulic fluid pathway of any dialysis machine on the market. Formula is capable of preparing ultrapure dialysate. The ultrafiltration measurement mechanism, the patented Coriolis flow meter, measures the mass of the dialysate, not the volume. For this reason it is the only dialysis machine that detects actual backfiltration, not just the theoretical possibility of it based on transmembrane pressure. The Coriolis flow meter also ensures that dialysate flow is a true single pass. The operator interface is a single window operating control. It is possible to select up to 14 different languages. There is an online help key to assist patients with troubleshooting. Programmable start-up and shutdown times save time for the patient. Formula is the only dialysis machine to offer a backup battery feature. Formula is capable of communicating with any software available. The focus on global biocompatibility ensures the best quality dialysis treatments for a population of patients who will likely remain on dialysis for a longer period of time than conventional dialysis patients. PMID:15043621

  1. Funding Formulas for California Schools III: An Analysis of Governor Brown's Weighted Pupil Funding Formula

    ERIC Educational Resources Information Center

    Rose, Heather; Sonstelie, Jon; Weston, Margaret

    2012-01-01

    In his 2012-13 budget Governor Brown proposed a new system for allocating state revenue among California school districts. By all accounts the current system is complex and opaque. In contrast, the proposed system--a weighted pupil funding formula--is simple and transparent. Using the PPIC School Finance Model, we compare how this formula would…

  2. Ewens sampling formulae with and without selection

    NASA Astrophysics Data System (ADS)

    Huillet, Thierry

    2007-09-01

    We shall first consider the random Dirichlet partitioning of the interval into n fragments at temperature [theta]>0. Using calculus for Dirichlet integrals, pre-asymptotic versions of the Ewens sampling formulae from finite Dirichlet partitions follow up. From these preliminaries, straightforward proofs of the usual sampling formulae from random proportions with Poisson-Dirichlet (PD)([gamma]) distribution can be obtained, while considering the Kingman limit n[NE pointing arrow][infinity], [theta][south east arrow]0, with n[theta]=[gamma]>0. In this manuscript, the Gibbs version of the Dirichlet partition with symmetric selection is considered. By use of similar series expansion calculus for Dirichlet integrals, closed-form expressions of Ewens sampling formulae in the presence of selection are obtained; special types of Bell polynomials are shown to be involved.

  3. A simplification of the Kovarik formula

    NASA Astrophysics Data System (ADS)

    Chen, Yan-Ni; Du, Hong-Ke; Pang, Yong-Feng

    2007-07-01

    Let P,Q be two idempotents on a Hilbert space. Z.V. Kovarik (Z.V. Kovarik, Similarity and interpolation between projectors, Acta Sci. Math. (Szeged) 39 (1977) 341-351) showed that when P+Q-I is invertible, the formula K(P,Q)=P(P+Q-I)-2Q gives the only idempotent such that , , where and denote the nullspace and the range of a bounded linear operator T on a Hilbert space, respectively. This formula was later extended to the context of Banach algebras and used in 1983 by J. Esterle to show that two homotopic idempotents may always be connected by a polynomial idempotent valued path. In the present paper, we give a simplification of Kovarik's original formula and one natural generalization of it.

  4. Mass formula for quasi-black holes

    SciTech Connect

    Lemos, Jose P. S.; Zaslavskii, Oleg B.

    2008-12-15

    A quasi-black hole, either nonextremal or extremal, can be broadly defined as the limiting configuration of a body when its boundary approaches the body's quasihorizon. We consider the mass contributions and the mass formula for a static quasi-black hole. The analysis involves careful scrutiny of the surface stresses when the limiting configuration is reached. It is shown that there exists a strict correspondence between the mass formulas for quasi-black holes and pure black holes. This perfect parallelism exists in spite of the difference in derivation and meaning of the formulas in both cases. For extremal quasi-black holes the finite surface stresses give zero contribution to the total mass. This leads to a very special version of Abraham-Lorentz electron in general relativity in which the total mass has pure electromagnetic origin in spite of the presence of bare stresses.

  5. 27 CFR 21.23 - Formula No. 19.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 19. 21.23... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Completely Denatured Alcohol Formulas § 21.23 Formula No. 19. To every 100 gallons of ethyl alcohol of not less than 160 proof add:...

  6. 24 CFR 990.110 - Operating fund formula.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 24 Housing and Urban Development 4 2010-04-01 2010-04-01 false Operating fund formula. 990.110... DEVELOPMENT THE PUBLIC HOUSING OPERATING FUND PROGRAM Purpose, Applicability, Formula, and Definitions § 990.110 Operating fund formula. (a) General formula. (1) The amount of annual contributions...

  7. 27 CFR 24.81 - Filing of formulas.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Filing of formulas. 24.81... OF THE TREASURY LIQUORS WINE Administrative and Miscellaneous Provisions Formulas § 24.81 Filing of formulas. The proprietor shall on each formula filed designate all ingredients and, if required,...

  8. 27 CFR 17.126 - Formulas for intermediate products.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formulas for intermediate... NONBEVERAGE PRODUCTS Formulas and Samples § 17.126 Formulas for intermediate products. (a) The manufacturer shall submit a formula on TTB Form 5154.1 for each self-manufactured ingredient made with...

  9. 27 CFR 21.22 - Formula No. 18.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 18. 21.22... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Completely Denatured Alcohol Formulas § 21.22 Formula No. 18. To every 100 gallons of ethyl alcohol of not less than 160 proof add:...

  10. 7 CFR 761.205 - Computing the formula allocation.

    Code of Federal Regulations, 2013 CFR

    2013-01-01

    ... 7 Agriculture 7 2013-01-01 2013-01-01 false Computing the formula allocation. 761.205 Section 761... Farm Loan Programs Funds to State Offices § 761.205 Computing the formula allocation. (a) The formula... funds for a loan program that the National Office allocates to a State Office. formula...

  11. 7 CFR 761.205 - Computing the formula allocation.

    Code of Federal Regulations, 2014 CFR

    2014-01-01

    ... 7 Agriculture 7 2014-01-01 2014-01-01 false Computing the formula allocation. 761.205 Section 761... Farm Loan Programs Funds to State Offices § 761.205 Computing the formula allocation. (a) The formula... funds for a loan program that the National Office allocates to a State Office. formula...

  12. 7 CFR 761.205 - Computing the formula allocation.

    Code of Federal Regulations, 2012 CFR

    2012-01-01

    ... 7 Agriculture 7 2012-01-01 2012-01-01 false Computing the formula allocation. 761.205 Section 761... Farm Loan Programs Funds to State Offices § 761.205 Computing the formula allocation. (a) The formula... funds for a loan program that the National Office allocates to a State Office. formula...

  13. 27 CFR 21.53 - Formula No. 27-A.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 27-A. 21.53 Section 21.53 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.53 Formula No....

  14. Formula Estimation of Cross-Validated Multiple Correlation.

    ERIC Educational Resources Information Center

    Schmitt, Neal

    A review of cross-validation shrinkage formulas is presented which focuses on the theoretical and practical problems in the use of various formulas. Practical guidelines for use of both formulas and empirical cross-validation are provided. A comparison of results using these formulas in a range of situations is then presented. The result of these…

  15. 27 CFR 21.68 - Formula No. 38-F.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Formula No. 38-F. 21.68 Section 21.68 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.68 Formula No....

  16. 27 CFR 21.41 - Formula No. 13-A.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 13-A. 21.41 Section 21.41 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.41 Formula No....

  17. 27 CFR 21.40 - Formula No. 12-A.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 12-A. 21.40 Section 21.40 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.40 Formula No....

  18. 27 CFR 21.47 - Formula No. 23-A.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 23-A. 21.47 Section 21.47 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.47 Formula No....

  19. 27 CFR 21.32 - Formula No. 1.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 1. 21.32 Section 21.32 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.32 Formula No. 1....

  20. 27 CFR 21.59 - Formula No. 32.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 32. 21.59 Section 21.59 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.59 Formula No. 32....

  1. 27 CFR 21.57 - Formula No. 30.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 30. 21.57 Section 21.57 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.57 Formula No. 30....

  2. 27 CFR 21.62 - Formula No. 35-A.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 35-A. 21.62 Section 21.62 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.62 Formula No....

  3. 27 CFR 21.41 - Formula No. 13-A.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2012-04-01 2012-04-01 false Formula No. 13-A. 21.41 Section 21.41 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.41 Formula No....

  4. 27 CFR 21.57 - Formula No. 30.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Formula No. 30. 21.57 Section 21.57 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.57 Formula No. 30....

  5. 27 CFR 21.41 - Formula No. 13-A.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Formula No. 13-A. 21.41 Section 21.41 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.41 Formula No....

  6. 27 CFR 21.59 - Formula No. 32.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Formula No. 32. 21.59 Section 21.59 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.59 Formula No. 32....

  7. 27 CFR 21.59 - Formula No. 32.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2012-04-01 2012-04-01 false Formula No. 32. 21.59 Section 21.59 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.59 Formula No. 32....

  8. 27 CFR 21.62 - Formula No. 35-A.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Formula No. 35-A. 21.62 Section 21.62 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.62 Formula No....

  9. 27 CFR 21.62 - Formula No. 35-A.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2012-04-01 2012-04-01 false Formula No. 35-A. 21.62 Section 21.62 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.62 Formula No....

  10. 27 CFR 21.57 - Formula No. 30.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2012-04-01 2012-04-01 false Formula No. 30. 21.57 Section 21.57 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.57 Formula No. 30....

  11. 27 CFR 21.40 - Formula No. 12-A.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Formula No. 12-A. 21.40 Section 21.40 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.40 Formula No....

  12. 27 CFR 21.48 - Formula No. 23-F.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 23-F. 21.48 Section 21.48 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.48 Formula No....

  13. 27 CFR 21.69 - Formula No. 39.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 39. 21.69 Section 21.69 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.69 Formula No. 39....

  14. 27 CFR 21.63 - Formula No. 36.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2012-04-01 2012-04-01 false Formula No. 36. 21.63 Section 21.63 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.63 Formula No. 36....

  15. 27 CFR 21.69 - Formula No. 39.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2014-04-01 2014-04-01 false Formula No. 39. 21.69 Section 21.69 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.69 Formula No. 39....

  16. 27 CFR 21.48 - Formula No. 23-F.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2014-04-01 2014-04-01 false Formula No. 23-F. 21.48 Section 21.48 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.48 Formula No....

  17. 27 CFR 21.48 - Formula No. 23-F.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Formula No. 23-F. 21.48 Section 21.48 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.48 Formula No....

  18. 27 CFR 21.48 - Formula No. 23-F.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2012-04-01 2012-04-01 false Formula No. 23-F. 21.48 Section 21.48 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.48 Formula No....

  19. 27 CFR 21.59 - Formula No. 32.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 32. 21.59 Section 21.59 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.59 Formula No. 32....

  20. 27 CFR 21.62 - Formula No. 35-A.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 35-A. 21.62 Section 21.62 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.62 Formula No....

  1. 27 CFR 21.40 - Formula No. 12-A.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 12-A. 21.40 Section 21.40 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.40 Formula No....

  2. 27 CFR 21.47 - Formula No. 23-A.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 23-A. 21.47 Section 21.47 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.47 Formula No....

  3. 27 CFR 21.41 - Formula No. 13-A.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 13-A. 21.41 Section 21.41 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.41 Formula No....

  4. 27 CFR 21.57 - Formula No. 30.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 30. 21.57 Section 21.57 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.57 Formula No. 30....

  5. 27 CFR 21.32 - Formula No. 1.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 1. 21.32 Section 21.32 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.32 Formula No. 1....

  6. 27 CFR 21.48 - Formula No. 23-F.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 23-F. 21.48 Section 21.48 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.48 Formula No....

  7. 27 CFR 21.69 - Formula No. 39.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 39. 21.69 Section 21.69 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.69 Formula No. 39....

  8. 27 CFR 21.75 - Formula No. 40-A.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 40-A. 21.75 Section 21.75 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.75 Formula No....

  9. 27 CFR 21.71 - Formula No. 39-B.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 39-B. 21.71 Section 21.71 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.71 Formula No....

  10. 27 CFR 21.49 - Formula No. 23-H.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 23-H. 21.49 Section 21.49 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.49 Formula No....

  11. 27 CFR 21.74 - Formula No. 40.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 40. 21.74 Section 21.74 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.74 Formula No. 40....

  12. 27 CFR 21.63 - Formula No. 36.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 36. 21.63 Section 21.63 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.63 Formula No. 36....

  13. 27 CFR 21.76 - Formula No. 40-B.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 40-B. 21.76 Section 21.76 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.76 Formula No....

  14. Lewis Carroll's formula for calendar calculating.

    PubMed

    Spitz, H H

    1994-03-01

    One of the extraordinary skills occasionally displayed by individuals of low intelligence (so-called idiots savants) is the ability to name, within seconds, the day of the week for any given date, sometimes over a range of centuries. A number of scholarly papers contain references to formulas that can be used in making this calculation, but none cites one of the earliest published methods, that of Lewis Carroll. However, formulas such as Carroll's are too complex to be self-taught by idiots savants and, consequently, cannot account for their remarkable performance. Alternative explanatory hypotheses were briefly discussed. PMID:8192906

  15. Lead content of milk and infant formula

    SciTech Connect

    Walker, B.

    1980-03-01

    Survey report:A survey to determine the lead content of early infant food sources was conducted in Washington, D.C. Samples were collected from various lots of national brands of infant formula and evaporated milk, cartons of nonfat dry milk, containers of homogenized cow's milk, and human milk. Mean concentrations of lead in infant formula, evaporated milk, nonfat dry milk, fresh cow's milk, and human milk were 0.135 g/ml, 0.03 g/ml, 0.01 g/ml, 0.53 g/ml, and 0.02 g/ml respectively. (2 references, 2 tables)

  16. Pesin's Entropy Formula for Systems Between and

    NASA Astrophysics Data System (ADS)

    Tian, Xueting

    2014-09-01

    In this article we give a new observation of Pesin's entropy formula, motivated from Mañé's proof of (Ergod Theory Dyn Sys 1:95-102, 1981). Let be a compact Riemann manifold and be a diffeomorphism on . If is an -invariant probability measure which is absolutely continuous relative to Lebesgue measure and nonuniformly-Hlder-continuous(see Definition 1.1), then we have Pesin's entropy formula, i.e., the metric entropy satisfies where are the Lyapunov exponents at with respect to Nonuniformly-H lder-continuous is a new notion from probabilistic perspective weaker than

  17. Empirical formula of crustal torsional oscillations

    NASA Astrophysics Data System (ADS)

    Sotani, Hajime

    2016-02-01

    Crustal torsional oscillations depend on not only crust properties but also the stellar mass and radius. Thus, one could extract stellar information by identifying the observed frequencies of stellar oscillations with the crustal torsional oscillations. Owing to the confinement of torsional oscillations inside the crust region of neutron stars, we successfully derive an empirical formula for the fundamental crustal torsional oscillations as a function of the stellar mass, radius, the so-called slope parameter of the nuclear symmetry energy, and the angular index of oscillations, with which one can estimate the frequencies with high accuracy. This empirical formula could be valuable in both the astrophysics and nuclear physics communities.

  18. Semiclassical trace formulas for noninteracting identical particles

    NASA Astrophysics Data System (ADS)

    Sakhr, Jamal; Whelan, Niall D.

    2003-06-01

    We extend the Gutzwiller trace formula to systems of noninteracting identical particles. The standard relation for isolated orbits does not apply since the energy of each particle is separately conserved causing the periodic orbits to occur in continuous families. The identical nature of the particles also introduces discrete permutational symmetries. We exploit the formalism of Creagh and Littlejohn [Phys. Rev. A 44, 836 (1991)], who have studied semiclassical dynamics in the presence of continuous symmetries, to derive many-body trace formulas for the full and symmetry-reduced densities of states. Numerical studies of the three-particle cardioid billiard are used to explicitly illustrate and test the results of the theory.

  19. Gaussian quadrature formulae for arbitrary positive measures.

    PubMed

    Fernandes, Andrew D; Atchley, William R

    2006-01-01

    We present computational methods and subroutines to compute Gaussian quadrature integration formulas for arbitrary positive measures. For expensive integrands that can be factored into well-known forms, Gaussian quadrature schemes allow for efficient evaluation of high-accuracy and -precision numerical integrals, especially compared to general ad hoc schemes. In addition, for certain well-known density measures (the normal, gamma, log-normal, Student's t, inverse-gamma, beta, and Fisher's F) we present exact formulae for computing the respective quadrature scheme. PMID:19455218

  20. Connection formulas for thermal density functional theory

    NASA Astrophysics Data System (ADS)

    Pribram-Jones, A.; Burke, K.

    2016-05-01

    The adiabatic connection formula of ground-state density functional theory relates the correlation energy to a coupling-constant integral over a purely potential contribution, and is widely used to understand and improve approximations. The corresponding formula for thermal density functional theory is cast as an integral over temperatures instead, ranging upward from the system's physical temperature. We also show how to relate different correlation components to each other, either in terms of temperature or coupling-constant integrations. We illustrate our results on the uniform electron gas.

  1. Validation of a new formula for mean arterial pressure calculation: the new formula is superior to the standard formula.

    PubMed

    Razminia, Mansour; Trivedi, Atul; Molnar, Janos; Elbzour, Monther; Guerrero, Mayra; Salem, Yasser; Ahmed, Aziz; Khosla, Sandeep; Lubell, David L

    2004-12-01

    Mean arterial pressure (MAP) has traditionally been derived from systolic and diastolic pressures, weighted 1/3 systolic and 2/3 diastolic. No correction is made for the increasing time dominance of systole with increasing heart rates. In a previous study, we developed a new and more accurate heart rate-corrected MAP formula from central aorta pressure determinations in a large number of patients: MAP = DP + [0.33 + (HR x 0.0012)] x [PP] where SP and DP are systolic and diastolic pressure and HR is heart rate. The current study validates the new MAP formula in the same patient at increasing paced heart rates. A central aorta catheter was used to obtain computer-determined systolic, diastolic, and MAP in 12 patients. Values were obtained at baseline and then at increasing right atrial paced heart rates. The new and standard MAP formula-derived values were compared with computer-determined values. The new formula showed a much closer correlation with the computer-derived values for MAP. Standard MAP calculations for MAP can easily be improved by inclusion of a heart rate factor. PMID:15558774

  2. Adolescent Formula Literature and Its Promiscuous Progeny.

    ERIC Educational Resources Information Center

    Stanek, Lou Willett

    This paper discusses the history and effect of popular culture generally and of the adolescent formula novel specifically. Seven primary characteristics of art as popular culture are that the work is accessible, easy to understand, conventional in form, not shocking in content, expressive of common and appropriate values, relative to some element…

  3. The Economic Vitality Formula of Success

    ERIC Educational Resources Information Center

    Konopnicki, Patrick M.

    2012-01-01

    An economic vitality formula of success can be accomplished by creating partnerships between local career and technical education (CTE), and workforce development and economic development entities. Student industry certifications; dynamic partnerships; programs and projects focused on science, technology, engineering, and mathematics (STEM); and…

  4. 28 CFR 38.2 - Formula grants.

    Code of Federal Regulations, 2013 CFR

    2013-07-01

    ... 28 Judicial Administration 1 2013-07-01 2013-07-01 false Formula grants. 38.2 Section 38.2... grants. (a) Religious organizations are eligible, on the same basis as any other organization, to... religious character or affiliation. As used in this section, “program” refers to a grant, contract,...

  5. Trinomial Formula, Pascal- and Sierpinski-Pyramid

    ERIC Educational Resources Information Center

    Zeitler, H.

    2002-01-01

    Stimulated by a picture of a Sierpinski-pyramid and an article by Stewart, students were asked about a connection between this pyramid and the well-known trinomial formula. The results of all the work done with students are presented in this note. (Contains 8 figures.)

  6. Beyond the Formula: Students Becoming Writers.

    ERIC Educational Resources Information Center

    Dobler, Judith

    To become writers, students must see themselves as writers and be treated as writers by their teachers. Students need to find the motivation to go beyond formulas, to grapple with messy, often inchoate ideas, to find their own particular angle of vision. What rhetoricians call "invention" or "discovery" is difficult to pin down. Without a system…

  7. 27 CFR 19.348 - Formula requirements.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2012-04-01 2012-04-01 false Formula requirements. 19.348 Section 19.348 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU... 5100.51 as provided in §§ 5.26 and 5.27 of this chapter before a proprietor may: (a) Blend, mix,...

  8. 27 CFR 19.348 - Formula requirements.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2014-04-01 2014-04-01 false Formula requirements. 19.348 Section 19.348 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL DISTILLED SPIRITS PLANTS Processing of Distilled Spirits Filing...

  9. 27 CFR 19.348 - Formula requirements.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Formula requirements. 19.348 Section 19.348 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL DISTILLED SPIRITS PLANTS Processing of Distilled Spirits Filing...

  10. 27 CFR 19.348 - Formula requirements.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula requirements. 19.348 Section 19.348 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU... 5100.51 as provided in §§ 5.26 and 5.27 of this chapter before a proprietor may: (a) Blend, mix,...

  11. Implementing Gilbert's PIP Formula in the Workplace.

    ERIC Educational Resources Information Center

    Cardinale, Loretta A.

    Gilbert (1978) developed a Potential for Improving Performance (PIP) formula based on worth, value, and cost. Worth related the value of a performance to its cost. The PIP related the worth of exemplary performance to the worth of average performance. This offered an opportunity for improvement by making appropriate changes through training or…

  12. 25 CFR 273.31 - Distribution formula.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 25 Indians 1 2011-04-01 2011-04-01 false Distribution formula. 273.31 Section 273.31 Indians BUREAU OF INDIAN AFFAIRS, DEPARTMENT OF THE INTERIOR INDIAN SELF-DETERMINATION AND EDUCATION ASSISTANCE ACT PROGRAM EDUCATION CONTRACTS UNDER JOHNSON-O'MALLEY ACT Funding Provisions § 273.31...

  13. 24 CFR 574.130 - Formula allocations.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 24 Housing and Urban Development 3 2011-04-01 2010-04-01 true Formula allocations. 574.130 Section 574.130 Housing and Urban Development Regulations Relating to Housing and Urban Development (Continued) OFFICE OF ASSISTANT SECRETARY FOR COMMUNITY PLANNING AND DEVELOPMENT, DEPARTMENT OF HOUSING AND...

  14. 24 CFR 92.50 - Formula allocation.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 24 Housing and Urban Development 1 2010-04-01 2010-04-01 false Formula allocation. 92.50 Section 92.50 Housing and Urban Development Office of the Secretary, Department of Housing and Urban... previous fiscal year, are metropolitan cities, urban counties, or consortia approved under § 92.101;...

  15. Nevada's College Funding Formula under Attack

    ERIC Educational Resources Information Center

    Black Issues in Higher Education, 2005

    2005-01-01

    Community College of Southern Nevada (CCSN) President Richard Carpenter has criticized the state's college funding formula, saying it penalizes southern Nevada students--particularly minorities. Carpenter said he hopes lawmakers will alter a complex equation that leads to a discrepancy in funding between CCSN and other institutions, including…

  16. Universal fitting formulae for baryon oscillation surveys

    NASA Astrophysics Data System (ADS)

    Blake, Chris; Parkinson, David; Bassett, Bruce; Glazebrook, Karl; Kunz, Martin; Nichol, Robert C.

    2006-01-01

    The next generation of galaxy surveys will attempt to measure the baryon oscillations in the clustering power spectrum with high accuracy. These oscillations encode a preferred scale which may be used as a standard ruler to constrain cosmological parameters and dark energy models. In this paper we present simple analytical fitting formulae for the accuracy with which the preferred scale may be determined in the tangential and radial directions by future spectroscopic and photometric galaxy redshift surveys. We express these accuracies as a function of survey parameters such as the central redshift, volume, galaxy number density and (where applicable) photometric redshift error. These fitting formulae should greatly increase the efficiency of optimizing future surveys, which requires analysis of a potentially vast number of survey configurations and cosmological models. The formulae are calibrated using a grid of Monte Carlo simulations, which are analysed by dividing out the overall shape of the power spectrum before fitting a simple decaying sinusoid to the oscillations. The fitting formulae reproduce the simulation results with a fractional scatter of 7 per cent (10 per cent) in the tangential (radial) directions over a wide range of input parameters. We also indicate how sparse-sampling strategies may enhance the effective survey area if the sampling scale is much smaller than the projected baryon oscillation scale.

  17. Stability and Equity in Education Finance Formulas.

    ERIC Educational Resources Information Center

    Fox, William; Murray, Matthew; Price, Patricia A.

    2002-01-01

    Examines the effectiveness of new funding formula included in major education reform legislation passed by the Tennessee legislature in early 1990s. Finds unanticipated outcomes. For example, while the variance in per-pupil spending among districts is smaller than before the legislation, the gap between the per-pupil spending of one-third of the…

  18. 27 CFR 5.26 - Formula requirements.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula requirements. 5.26 Section 5.26 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT... Supplemental or Form 5110.38 shall remain in effect until revoked, superseded, or voluntarily surrendered....

  19. 5 CFR 1315.17 - Formulas.

    Code of Federal Regulations, 2014 CFR

    2014-01-01

    ...) Rebate formula. (1) Agencies shall determine credit card payment dates based on an analysis of the total... offered by the card issuer with the corresponding daily basis points of the government's Current Value of Funds (CVF) rate. If the basis points offered by the card issuer are greater than the daily basis...

  20. 5 CFR 1315.17 - Formulas.

    Code of Federal Regulations, 2013 CFR

    2013-01-01

    ...) Rebate formula. (1) Agencies shall determine credit card payment dates based on an analysis of the total... offered by the card issuer with the corresponding daily basis points of the government's Current Value of Funds (CVF) rate. If the basis points offered by the card issuer are greater than the daily basis...

  1. Quantification of prebiotics in commercial infant formulas.

    PubMed

    Sabater, Carlos; Prodanov, Marin; Olano, Agustín; Corzo, Nieves; Montilla, Antonia

    2016-03-01

    Since breastfeeding is not always possible, infant formulas (IFs) are supplemented with prebiotic oligosaccharides, such as galactooligosaccharides (GOS) and/or fructooligosaccharides (FOS) to exert similar effects to those of the breast milk. Nowadays, a great number of infant formulas enriched with prebiotics are disposal in the market, however there are scarce data about their composition. In this study, the combined use of two chromatographic methods (GC-FID and HPLC-RID) for the quantification of carbohydrates present in commercial infant formulas have been used. According to the results obtained by GC-FID for products containing prebiotics, the content of FOS, GOS and GOS/FOS was in the ranges of 1.6-5.0, 1.7-3.2, and 0.08-0.25/2.3-3.8g/100g of product, respectively. HPLC-RID analysis allowed quantification of maltodextrins with degree of polymerization (DP) up to 19. The methodology proposed here may be used for routine quality control of infant formula and other food ingredients containing prebiotics. PMID:26471520

  2. Effects of neurological damage on production of formulaic language

    PubMed Central

    Sidtis, D.; Canterucci, G.; Katsnelson, D.

    2014-01-01

    Early studies reported preserved formulaic language in left hemisphere damaged subjects and reduced incidence of formulaic expressions in the conversational speech of stroke patients with right hemispheric damage. Clinical observations suggest a possible role also of subcortical nuclei. This study examined formulaic language in the spontaneous speech of stroke patients with left, right, or subcortical damage. Four subjects were interviewed and their speech samples compared to normal speakers. Raters classified formulaic expressions as speech formulae, fillers, sentence stems, and proper nouns. Results demonstrated that brain damage affected novel and formulaic language competence differently, with a significantly smaller proportion of formulaic expressions in subjects with right or subcortical damage compared to left hemisphere damaged or healthy speakers. These findings converge with previous studies that support the proposal of a right hemisphere/subcortical circuit in the management of formulaic expressions, based on a dual-process model of language incorporating novel and formulaic language use. PMID:19382014

  3. COMPARISON OF CHILDREN'S FOLLOW-ON INSTANT POWDERED COW'S MILK FORMULA, BUFFALO MILK FORMULA AND CHICKEN-BASED FORMULA ON ENAMEL MICROHARDNESS OF BOVINE TEETH IN VITRO.

    PubMed

    Vongsavan, Kadkao; Rirattanapong, Praphasri; Surarit, Rudee

    2016-03-01

    Dental caries are a major public health problem worldwide. The aim of this study was to compare the effects of children's follow-on instant powdered cow's milk formula, buffalo milk formula and a chicken-based formula on microhardness of bovine enamel with artificial caries-like lesions. Forty bovine teeth were each placed in acrylic blocks and the enamel surfaces were polished to create flat 5 x 5 millimeter surfaces. The teeth surfaces were then demineralized using 0.1M lactic acid (pH 4.5) to achieve an enamel microhardness of 35-65 Vickers Hardness Numbers (VHN). All specimens were then randomly allocated into one of 4 groups (n=10/group). For remineralization, each group was soaked in a different kind of milk formula for 2 hours at 37°C except group 1 which was a negative control (artificial saliva) group. Group 2 was soaked in Murrah™ buffalo milk formula (a positive control ), group 3 in S-26-Promil-Gold™ (cow's milk formula) and group 4 in a chicken-based formula (Siriraj Hospital, Mahidol University). The microhardness of the specimens was then measured again. Data were analyzed using a one-way ANOVA and paired t-test with a 95% confidence interval. After exposure to the formula, the mean VHN for each study group was significantly higher (paired t-test, p < 0.05) except for group 1 (p = 0.345). The mean VHN for the the Murrah™ buffalo milk formula, the chicken-based formula and the S-26-Promil-Gold™ formula group were not significantly different from each other (one-way ANOVA, p > 0.05). In conclusion, S-26-Promil-Gold™ follow-on cow milk formula, Murrah™ buffalo milk formula and the chicken-based formula all increased bovine enamel microhardness after soaking for 2 hours. PMID:27244971

  4. Matrix product formula for Macdonald polynomials

    NASA Astrophysics Data System (ADS)

    Cantini, Luigi; de Gier, Jan; Wheeler, Michael

    2015-09-01

    We derive a matrix product formula for symmetric Macdonald polynomials. Our results are obtained by constructing polynomial solutions of deformed Knizhnik-Zamolodchikov equations, which arise by considering representations of the Zamolodchikov-Faddeev and Yang-Baxter algebras in terms of t-deformed bosonic operators. These solutions are generalized probabilities for particle configurations of the multi-species asymmetric exclusion process, and form a basis of the ring of polynomials in n variables whose elements are indexed by compositions. For weakly increasing compositions (anti-dominant weights), these basis elements coincide with non-symmetric Macdonald polynomials. Our formulas imply a natural combinatorial interpretation in terms of solvable lattice models. They also imply that normalizations of stationary states of multi-species exclusion processes are obtained as Macdonald polynomials at q = 1.

  5. Semiclassical trace formulas for noninteracting identical particles.

    PubMed

    Sakhr, Jamal; Whelan, Niall D

    2003-06-01

    We extend the Gutzwiller trace formula to systems of noninteracting identical particles. The standard relation for isolated orbits does not apply since the energy of each particle is separately conserved causing the periodic orbits to occur in continuous families. The identical nature of the particles also introduces discrete permutational symmetries. We exploit the formalism of Creagh and Littlejohn [Phys. Rev. A 44, 836 (1991)], who have studied semiclassical dynamics in the presence of continuous symmetries, to derive many-body trace formulas for the full and symmetry-reduced densities of states. Numerical studies of the three-particle cardioid billiard are used to explicitly illustrate and test the results of the theory. PMID:16241332

  6. Inclusion probability with dropout: an operational formula.

    PubMed

    Milot, E; Courteau, J; Crispino, F; Mailly, F

    2015-05-01

    In forensic genetics, a mixture of two or more contributors to a DNA profile is often interpreted using the inclusion probabilities theory. In this paper, we present a general formula for estimating the probability of inclusion (PI, also known as the RMNE probability) from a subset of visible alleles when dropouts are possible. This one-locus formula can easily be extended to multiple loci using the cumulative probability of inclusion. We show that an exact formulation requires fixing the number of contributors, hence to slightly modify the classic interpretation of the PI. We discuss the implications of our results for the enduring debate over the use of PI vs likelihood ratio approaches within the context of low template amplifications. PMID:25559642

  7. Pizzetti Formulae for Stiefel Manifolds and Applications

    NASA Astrophysics Data System (ADS)

    Coulembier, Kevin; Kieburg, Mario

    2015-10-01

    Pizzetti's formula explicitly shows the equivalence of the rotation invariant integration over a sphere and the action of rotation invariant differential operators. We generalize this idea to the integrals over real, complex, and quaternion Stiefel manifolds in a unifying way. In particular, we propose a new way to calculate group integrals and try to uncover some algebraic structures which manifest themselves for some well-known cases like the Harish-Chandra integral. We apply a particular case of our formula to an Itzykson-Zuber integral for the coset . This integral naturally appears in the calculation of the two-point correlation function in the transition of the statistics of the Poisson ensemble and the Gaussian orthogonal ensemble in random matrix theory.

  8. Some inversion formulas for the cone transform

    NASA Astrophysics Data System (ADS)

    Terzioglu, Fatma

    2015-11-01

    Several novel imaging applications have lead recently to a variety of Radon type transforms, where integration is made over a family of conical surfaces. We call them cone transforms (in 2D they are also called V-line or broken ray transforms). Most prominently, they are present in the so called Compton camera imaging that arises in medical diagnostics, astronomy, and lately in homeland security applications. Several specific incarnations of the cone transform have been considered separately. In this paper, we address the most general (and overdetermined) cone transform, obtain integral relations between cone and Radon transforms in {{{R}}}n, and a variety of inversion formulas. In many applications (e.g., in homeland security), the signal to noise ratio is very low. So, if overdetermined data is collected (as in the case of Compton imaging), attempts to reduce the dimensionality might lead to essential elimination of the signal. Thus, our main concentration is on obtaining formulas involving overdetermined data.

  9. A flood-flow formula for Connecticut

    USGS Publications Warehouse

    Bigwood, B.L.; Thomas, M.P.

    1955-01-01

    A study of the frequency and magnitude of floods within the Connecticut area is contained in this report. Annual flood discharges for 44 stream-gaging stations whose records range in length from l0 to 40 years are presented and a regional flood-frequency relationship developed based upon the ratios of all floods to the mean annual flood at each of these locations. Definition of this curve for floods of larger recurrence intervals is based upon historical studies of extraordinary floods which have occurred within the area. For ungaged areas, the mean annual flood value may be determined by use of a flood-flow formula based upon the topographic characteristics of drainage area and basin slope. The development of this formula also is included.

  10. Average prime-pair counting formula

    NASA Astrophysics Data System (ADS)

    Korevaar, Jaap; Riele, Herman Te

    2010-04-01

    Taking r>0 , let π_{2r}(x) denote the number of prime pairs (p, p+2r) with p≤ x . The prime-pair conjecture of Hardy and Littlewood (1923) asserts that π_{2r}(x)˜ 2C_{2r} {li}_2(x) with an explicit constant C_{2r}>0 . There seems to be no good conjecture for the remainders ω_{2r}(x)=π_{2r}(x)- 2C_{2r} {li}_2(x) that corresponds to Riemann's formula for π(x)-{li}(x) . However, there is a heuristic approximate formula for averages of the remainders ω_{2r}(x) which is supported by numerical results.

  11. A Generalized Formula to Determine Pythagorean Triples

    ERIC Educational Resources Information Center

    Mohapatra, Amar Kumar; Prakash, Nupur

    2010-01-01

    This note proposes a unique solutions to find out the value of x, y and z which satisfies the equation x[superscript 2] + y[superscript 2] = z[superscript 2]. The uniqueness of the proposed formulae is to find the total number of y's and z's at a given value of x. The value of y and z can be calculated by factoring x[superscript 2] or…

  12. Algorithm 699 - A new representation of Patterson's quadrature formulae

    NASA Technical Reports Server (NTRS)

    Krogh, Fred T.; Van Snyder, W.

    1991-01-01

    A method is presented to reduce the number of coefficients necessary to represent Patterson's quadrature formulae. It also reduces the amount of storage necessary for storing function values, and produces slightly smaller error in evaluating the formulae.

  13. Infant formula, past and future: opportunities for improvement.

    PubMed

    Lo, C W; Kleinman, R E

    1996-04-01

    Infant formulas provide nutritional support to health infants that promotes growth and development equivalent to that in healthy infants fed human milk. Formula-fed infants are not as well protected against infections, and there remain infants whose health, growth, and development may not be supported optimally by either the formulas currently available or human milk. Some infants may be better supported by genetically engineered formulas that contain immunity-enhancing antibodies or antigens. Formulas that contain cytokines promoting epithelial cell growth and integrity may be protective against necrotizing enterocolitis. Formulas containing proteins with genetically excluded allergenic epitopes or formulas with tolerogenic peptides may be useful in treating allergic diseases of suppressing the development of autoimmune disorders later in life. Formulas with genetically engineered biologically active substances might increase the absorption of nutrients in infants with compromised absorption or digestion, enhance host immunity and mucosal integrity, and, potentially militate or protect against the risk of disease. PMID:8599333

  14. 27 CFR 25.58 - New and superseding formulas.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... BUREAU, DEPARTMENT OF THE TREASURY LIQUORS BEER Miscellaneous Provisions Formulas § 25.58 New and... special method of manufacture that requires the filing of a formula; or (6) Change the contribution...

  15. Determination of 50% endpoint titer using a simple formula.

    PubMed

    Ramakrishnan, Muthannan Andavar

    2016-05-12

    Two commonly used methods for calculating 50% endpoint using serial dilutions are Spearman-Karber method and Reed and Muench method. To understand/apply the above formulas, moderate statistical/mathematical skills are necessary. In this paper, a simple formula/method for calculating 50% endpoints has been proposed. The formula yields essentially similar results as those of the Spearman-Karber method. The formula has been rigorously evaluated with several samples. PMID:27175354

  16. Determination of 50% endpoint titer using a simple formula

    PubMed Central

    Ramakrishnan, Muthannan Andavar

    2016-01-01

    Two commonly used methods for calculating 50% endpoint using serial dilutions are Spearman-Karber method and Reed and Muench method. To understand/apply the above formulas, moderate statistical/mathematical skills are necessary. In this paper, a simple formula/method for calculating 50% endpoints has been proposed. The formula yields essentially similar results as those of the Spearman-Karber method. The formula has been rigorously evaluated with several samples. PMID:27175354

  17. 27 CFR 21.37 - Formula No. 3-C.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 3-C. 21.37 Section 21.37 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.37 Formula No. 3-C....

  18. 27 CFR 21.33 - Formula No. 2-B.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 2-B. 21.33 Section 21.33 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.33 Formula No. 2-B....

  19. 27 CFR 21.35 - Formula No. 3-A.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 3-A. 21.35 Section 21.35 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.35 Formula No. 3-A....

  20. 27 CFR 21.33 - Formula No. 2-B.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Formula No. 2-B. 21.33 Section 21.33 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.33 Formula No. 2-B....

  1. 27 CFR 21.35 - Formula No. 3-A.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 3-A. 21.35 Section 21.35 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.35 Formula No. 3-A....

  2. 27 CFR 21.33 - Formula No. 2-B.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 2-B. 21.33 Section 21.33 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.33 Formula No. 2-B....

  3. 27 CFR 21.37 - Formula No. 3-C.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 3-C. 21.37 Section 21.37 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.37 Formula No. 3-C....

  4. Counterexamples on Jumarie's two basic fractional calculus formulae

    NASA Astrophysics Data System (ADS)

    Liu, Cheng-shi

    2015-05-01

    Jumarie proposed a modified Riemann-Liouville derivative definition and gave two basic fractional calculus formulae (u (t) v (t)) (α) =u (α) (t) v (t) + u (t)v (α) (t) and (f (u (t))) (α) = fu‧ u (α) (t) . We give two counterexamples to show that Jumarie's two formulae are not true. Respectively, all results obtained in references by using Jumarie's these two formulae are incorrect. In the end, we give the corresponding formulae.

  5. An Academic Formulas List: New Methods in Phraseology Research

    ERIC Educational Resources Information Center

    Simpson-Vlach, Rita; Ellis, Nick C.

    2010-01-01

    This research creates an empirically derived, pedagogically useful list of formulaic sequences for academic speech and writing, comparable with the Academic Word List (Coxhead 2000), called the Academic Formulas List (AFL). The AFL includes formulaic sequences identified as (i) frequent recurrent patterns in corpora of written and spoken language,…

  6. 5 CFR 838.305 - OPM computation of formulas.

    Code of Federal Regulations, 2010 CFR

    2010-01-01

    ... 5 Administrative Personnel 2 2010-01-01 2010-01-01 false OPM computation of formulas. 838.305... Employee Annuities § 838.305 OPM computation of formulas. (a) A court order directed at employee annuity is... the employee annuity; or (iii) A formula that does not contain any variables whose values are...

  7. 27 CFR 21.3 - Stocks of discontinued formulas.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... formulas. 21.3 Section 21.3 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM General Provisions § 21.3 Stocks of discontinued formulas. Denaturers, or specially denatured spirits dealers or users, having on hand stocks...

  8. 20 CFR 225.3 - PIA computation formulas.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 20 Employees' Benefits 1 2010-04-01 2010-04-01 false PIA computation formulas. 225.3 Section 225.3... INSURANCE AMOUNT DETERMINATIONS General § 225.3 PIA computation formulas. (a) General. PIA's are generally computed under one of two normal formulas determined by the employee's eligibility year. In addition,...

  9. 45 CFR 1321.37 - Intrastate funding formula.

    Code of Federal Regulations, 2010 CFR

    2010-10-01

    ... 45 Public Welfare 4 2010-10-01 2010-10-01 false Intrastate funding formula. 1321.37 Section 1321... funding formula. (a) The State agency, after consultation with all area agencies in the State, shall develop and use an intrastate funding formula for the allocation of funds to area agencies under this...

  10. 27 CFR 20.93 - Changes to formulas.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Changes to formulas. 20.93... OF THE TREASURY LIQUORS DISTRIBUTION AND USE OF DENATURED ALCOHOL AND RUM Formulas and Statements of Process § 20.93 Changes to formulas. (a) General. Except as provided in paragraph (b) of this section,...

  11. 40 CFR 72.95 - Allowance deduction formula.

    Code of Federal Regulations, 2010 CFR

    2010-07-01

    ... 40 Protection of Environment 16 2010-07-01 2010-07-01 false Allowance deduction formula. 72.95... (CONTINUED) PERMITS REGULATION Compliance Certification § 72.95 Allowance deduction formula. The following formula shall be used to determine the total number of allowances to be deducted for the calendar...

  12. 24 CFR 570.406 - Formula miscalculation grants.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 24 Housing and Urban Development 3 2010-04-01 2010-04-01 false Formula miscalculation grants. 570... Grants § 570.406 Formula miscalculation grants. (a) General. Grants under this section will be made to... section. (b) Application. Since the grant is to correct a technical error in the formula amount...

  13. 48 CFR 32.304-3 - Asset formula.

    Code of Federal Regulations, 2010 CFR

    2010-10-01

    ... 48 Federal Acquisition Regulations System 1 2010-10-01 2010-10-01 false Asset formula. 32.304-3... REQUIREMENTS CONTRACT FINANCING Loan Guarantees for Defense Production 32.304-3 Asset formula. (a) Under..., by use of an asset formula, to an amount that does not exceed a specified percentage (90 percent...

  14. 27 CFR 26.197 - Furnishing formula to consignee.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Furnishing formula to... Custody to Internal Revenue Bond § 26.197 Furnishing formula to consignee. Prior to the first shipment... formula covering such spirits to the appropriate TTB officer, and to the proprietor of each...

  15. 49 CFR 198.13 - Grant allocation formula.

    Code of Federal Regulations, 2010 CFR

    2010-10-01

    ... 49 Transportation 3 2010-10-01 2010-10-01 false Grant allocation formula. 198.13 Section 198.13... PIPELINE SAFETY PROGRAMS Grant Allocation § 198.13 Grant allocation formula. (a) Beginning in calendar year... state agency comments on any proposed changes to the allocation formula. (f) Grants are limited to...

  16. 42 CFR 51.3 - Formula for determining allotments.

    Code of Federal Regulations, 2010 CFR

    2010-10-01

    ... 42 Public Health 1 2010-10-01 2010-10-01 false Formula for determining allotments. 51.3 Section 51....3 Formula for determining allotments. The Secretary shall make allotments to eligible Systems from amounts apportioned each year under the Act on the basis of a formula prescribed by the Secretary...

  17. 27 CFR 26.53 - Changes of formulas.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Changes of formulas. 26.53... OF THE TREASURY LIQUORS LIQUORS AND ARTICLES FROM PUERTO RICO AND THE VIRGIN ISLANDS Formulas for Products From Puerto Rico § 26.53 Changes of formulas. Any change in the ingredients composing a...

  18. 5 CFR 838.504 - OPM computation of formulas.

    Code of Federal Regulations, 2010 CFR

    2010-01-01

    ... 5 Administrative Personnel 2 2010-01-01 2010-01-01 false OPM computation of formulas. 838.504... Refunds of Employee Contributions § 838.504 OPM computation of formulas. (a) A court order directed at a... contributions; or (3) A formula that does not contain any variables whose values are not readily...

  19. 27 CFR 26.223 - Changes of formulas.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Changes of formulas. 26..., DEPARTMENT OF THE TREASURY LIQUORS LIQUORS AND ARTICLES FROM PUERTO RICO AND THE VIRGIN ISLANDS Formulas for Products From the Virgin Islands § 26.223 Changes of formulas. Any change in the ingredients composing...

  20. 49 CFR 198.13 - Grant allocation formula.

    Code of Federal Regulations, 2011 CFR

    2011-10-01

    ... 49 Transportation 3 2011-10-01 2011-10-01 false Grant allocation formula. 198.13 Section 198.13... PIPELINE SAFETY PROGRAMS Grant Allocation § 198.13 Grant allocation formula. (a) Beginning in calendar year... state agency comments on any proposed changes to the allocation formula. (f) Grants are limited to...

  1. 27 CFR 21.61 - Formula No. 35.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2014-04-01 2014-04-01 false Formula No. 35. 21.61... and Authorized Uses § 21.61 Formula No. 35. (a) Formula. To every 100 gallons of alcohol add: 29.75 gallons of ethyl acetate having an ester content of 100 percent by weight or the equivalent thereof not...

  2. 49 CFR 198.13 - Grant allocation formula.

    Code of Federal Regulations, 2012 CFR

    2012-10-01

    ... 49 Transportation 3 2012-10-01 2012-10-01 false Grant allocation formula. 198.13 Section 198.13... PIPELINE SAFETY PROGRAMS Grant Allocation § 198.13 Grant allocation formula. (a) Beginning in calendar year... state agency comments on any proposed changes to the allocation formula. (f) Grants are limited to...

  3. 27 CFR 21.61 - Formula No. 35.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 35. 21.61... and Authorized Uses § 21.61 Formula No. 35. (a) Formula. To every 100 gallons of alcohol add: 29.75 gallons of ethyl acetate having an ester content of 100 percent by weight or the equivalent thereof not...

  4. 27 CFR 21.61 - Formula No. 35.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Formula No. 35. 21.61... and Authorized Uses § 21.61 Formula No. 35. (a) Formula. To every 100 gallons of alcohol add: 29.75 gallons of ethyl acetate having an ester content of 100 percent by weight or the equivalent thereof not...

  5. 49 CFR 198.13 - Grant allocation formula.

    Code of Federal Regulations, 2013 CFR

    2013-10-01

    ... 49 Transportation 3 2013-10-01 2013-10-01 false Grant allocation formula. 198.13 Section 198.13... PIPELINE SAFETY PROGRAMS Grant Allocation § 198.13 Grant allocation formula. (a) Beginning in calendar year... state agency comments on any proposed changes to the allocation formula. (f) Grants are limited to...

  6. 27 CFR 21.62 - Formula No. 35-A.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2014-04-01 2014-04-01 false Formula No. 35-A. 21.62... and Authorized Uses § 21.62 Formula No. 35-A. (a) Formula. To every 100 gallons of alcohol add: 4.25 gallons of ethyl acetate having an ester content of 100 percent by weight or the equivalent thereof not...

  7. 27 CFR 21.61 - Formula No. 35.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 35. 21.61... and Authorized Uses § 21.61 Formula No. 35. (a) Formula. To every 100 gallons of alcohol add: 29.75 gallons of ethyl acetate having an ester content of 100 percent by weight or the equivalent thereof not...

  8. 49 CFR 198.13 - Grant allocation formula.

    Code of Federal Regulations, 2014 CFR

    2014-10-01

    ... 49 Transportation 3 2014-10-01 2014-10-01 false Grant allocation formula. 198.13 Section 198.13... PIPELINE SAFETY PROGRAMS Grant Allocation § 198.13 Grant allocation formula. (a) Beginning in calendar year... state agency comments on any proposed changes to the allocation formula. (f) Grants are limited to...

  9. Illinois' School Funding Formula--A Mathematical and Geometrical Analysis.

    ERIC Educational Resources Information Center

    Toenjes, Laurence A.

    1982-01-01

    Compares Illinois' funding formula with a mathematical model for resource compensating formulas. Describes the variables used (including district enrollment, wealth, tax effort, and state guaranteed valuation). Uses graphs to illustrate varying equity effects of the formula for K-12, K-8, and high school districts, both statewide and in selected…

  10. 27 CFR 17.125 - Adoption of formulas and processes.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Adoption of formulas and... NONBEVERAGE PRODUCTS Formulas and Samples § 17.125 Adoption of formulas and processes. (a) Adoption of... of adoption with the appropriate TTB officer. The notice shall be filed with the first claim...

  11. 27 CFR 17.125 - Adoption of formulas and processes.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Adoption of formulas and... NONBEVERAGE PRODUCTS Formulas and Samples § 17.125 Adoption of formulas and processes. (a) Adoption of... of adoption with the appropriate TTB officer. The notice shall be filed with the first claim...

  12. 27 CFR 17.125 - Adoption of formulas and processes.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2012-04-01 2012-04-01 false Adoption of formulas and... NONBEVERAGE PRODUCTS Formulas and Samples § 17.125 Adoption of formulas and processes. (a) Adoption of... of adoption with the appropriate TTB officer. The notice shall be filed with the first claim...

  13. 27 CFR 17.125 - Adoption of formulas and processes.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2014-04-01 2014-04-01 false Adoption of formulas and... NONBEVERAGE PRODUCTS Formulas and Samples § 17.125 Adoption of formulas and processes. (a) Adoption of... of adoption with the appropriate TTB officer. The notice shall be filed with the first claim...

  14. 27 CFR 17.125 - Adoption of formulas and processes.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Adoption of formulas and... NONBEVERAGE PRODUCTS Formulas and Samples § 17.125 Adoption of formulas and processes. (a) Adoption of... of adoption with the appropriate TTB officer. The notice shall be filed with the first claim...

  15. 27 CFR 19.187 - Adoption of formulas.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Adoption of formulas. 19... After Original Qualification § 19.187 Adoption of formulas. (a) Forms 5110.38. The adoption by a... the appropriate TTB officer. The application shall list the formulas for adoption by (1)...

  16. 45 CFR 1321.37 - Intrastate funding formula.

    Code of Federal Regulations, 2011 CFR

    2011-10-01

    ... 45 Public Welfare 4 2011-10-01 2011-10-01 false Intrastate funding formula. 1321.37 Section 1321... funding formula. (a) The State agency, after consultation with all area agencies in the State, shall develop and use an intrastate funding formula for the allocation of funds to area agencies under this...

  17. 45 CFR 1321.37 - Intrastate funding formula.

    Code of Federal Regulations, 2014 CFR

    2014-10-01

    ... 45 Public Welfare 4 2014-10-01 2014-10-01 false Intrastate funding formula. 1321.37 Section 1321... funding formula. (a) The State agency, after consultation with all area agencies in the State, shall develop and use an intrastate funding formula for the allocation of funds to area agencies under this...

  18. 45 CFR 1321.37 - Intrastate funding formula.

    Code of Federal Regulations, 2013 CFR

    2013-10-01

    ... 45 Public Welfare 4 2013-10-01 2013-10-01 false Intrastate funding formula. 1321.37 Section 1321... funding formula. (a) The State agency, after consultation with all area agencies in the State, shall develop and use an intrastate funding formula for the allocation of funds to area agencies under this...

  19. Infant formula increases bone turnover favoring bone formation

    Technology Transfer Automated Retrieval System (TEKTRAN)

    In the first year of life, the major infant food choices have traditionally been breast milk (BM), cow's milk formula (MF), or soy formula (SF). Studies examining the effects of infant formula on early life skeletal development are extremely limited. We have enrolled 120 healthy 6-month-old infants ...

  20. Effects of Neurological Damage on Production of Formulaic Language

    ERIC Educational Resources Information Center

    Sidtis, Diana; Canterucci, Gina; Katsnelson, Dora

    2009-01-01

    Early studies reported preserved formulaic language in left hemisphere damaged subjects and reduced incidence of formulaic expressions in the conversational speech of stroke patients with right hemispheric damage. Clinical observations suggest a possible role also of subcortical nuclei. This study examined formulaic language in the spontaneous…

  1. 24 CFR 990.200 - Determination of formula amount.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... part) and its formula income (as calculated under subpart D of this part). (b) Use of HUD databases to calculate formula amount. HUD shall utilize its databases to make the formula calculations. HUD's databases... units in HUD's databases. (c) PHA responsibility to submit timely data. PHAs shall submit data used...

  2. 24 CFR 990.200 - Determination of formula amount.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... part) and its formula income (as calculated under subpart D of this part). (b) Use of HUD databases to calculate formula amount. HUD shall utilize its databases to make the formula calculations. HUD's databases... units in HUD's databases. (c) PHA responsibility to submit timely data. PHAs shall submit data used...

  3. 24 CFR 990.200 - Determination of formula amount.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... part) and its formula income (as calculated under subpart D of this part). (b) Use of HUD databases to calculate formula amount. HUD shall utilize its databases to make the formula calculations. HUD's databases... units in HUD's databases. (c) PHA responsibility to submit timely data. PHAs shall submit data used...

  4. 24 CFR 990.200 - Determination of formula amount.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... part) and its formula income (as calculated under subpart D of this part). (b) Use of HUD databases to calculate formula amount. HUD shall utilize its databases to make the formula calculations. HUD's databases... units in HUD's databases. (c) PHA responsibility to submit timely data. PHAs shall submit data used...

  5. 27 CFR 21.64 - Formula No. 37.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 37. 21.64 Section 21.64 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT... and Authorized Uses § 21.64 Formula No. 37. (a) Formula. To every 100 gallons of alcohol add:...

  6. 27 CFR 25.55 - Formulas for fermented products.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... substantially change the color, flavor, or character, separation of beer into different components, reverse... required for different products? (1) You must file a separate formula for approval for each different... is my formula approval valid? Your formula approved under this section remains in effect until:...

  7. 27 CFR 21.49 - Formula No. 23-H.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 23-H. 21.49 Section 21.49 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT... and Authorized Uses § 21.49 Formula No. 23-H. (a) Formula. To every 100 gallons of alcohol add:...

  8. Certain summation and transformation formulas for generalized hypergeometric series

    NASA Astrophysics Data System (ADS)

    Miller, Allen R.

    2009-09-01

    We derive summation formulas for generalized hypergeometric series of unit argument, one of which upon specialization reduces to Minton's summation theorem. As an application we deduce a reduction formula for a certain Kampé de Fériet function that in turn provides a Kummer-type transformation formula for the generalized hypergeometric function pFp(x).

  9. 7 CFR 761.205 - Computing the formula allocation.

    Code of Federal Regulations, 2011 CFR

    2011-01-01

    ... 7 Agriculture 7 2011-01-01 2011-01-01 false Computing the formula allocation. 761.205 Section 761.205 Agriculture Regulations of the Department of Agriculture (Continued) FARM SERVICE AGENCY... Funds to State Offices § 761.205 Computing the formula allocation. (a) The formula allocation for FO,...

  10. 27 CFR 20.115 - Ink general-use formula.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Ink general-use formula. 20.115 Section 20.115 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS DISTRIBUTION AND USE OF DENATURED ALCOHOL AND RUM Formulas and Statements of Process General-Use Formulas...

  11. 27 CFR 24.303 - Formula wine record.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula wine record. 24.303 Section 24.303 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS WINE Records and Reports § 24.303 Formula wine record. A proprietor who produces beverage formula wine shall...

  12. 27 CFR 21.72 - Formula No. 39-C.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2014-04-01 2014-04-01 false Formula No. 39-C. 21.72... and Authorized Uses § 21.72 Formula No. 39-C. (a) Formula. To every 100 gallons of alcohol add: One....Lotions and creams (hand, face, and body). 114.Deodorants (body). 121.Perfumes and perfume tinctures....

  13. 27 CFR 21.75 - Formula No. 40-A.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Formula No. 40-A. 21.75... and Authorized Uses § 21.75 Formula No. 40-A. (a) Formula. To every 100 gallons of alcohol add: One....Deodorants (body). 121.Perfumes and perfume tinctures. 122.Toilet waters and colognes. 141.Shampoos....

  14. 27 CFR 21.71 - Formula No. 39-B.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Formula No. 39-B. 21.71... and Authorized Uses § 21.71 Formula No. 39-B. (a) Formula. To every 100 gallons of alcohol add: Two..., and body). 114.Deodorants (body). 121.Perfumes and perfume tinctures. 122.Toilet waters and...

  15. 27 CFR 21.71 - Formula No. 39-B.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 39-B. 21.71... and Authorized Uses § 21.71 Formula No. 39-B. (a) Formula. To every 100 gallons of alcohol add: Two..., and body). 114.Deodorants (body). 121.Perfumes and perfume tinctures. 122.Toilet waters and...

  16. 27 CFR 21.72 - Formula No. 39-C.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 39-C. 21.72... and Authorized Uses § 21.72 Formula No. 39-C. (a) Formula. To every 100 gallons of alcohol add: One....Lotions and creams (hand, face, and body). 114.Deodorants (body). 121.Perfumes and perfume tinctures....

  17. 27 CFR 21.72 - Formula No. 39-C.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2012-04-01 2012-04-01 false Formula No. 39-C. 21.72... and Authorized Uses § 21.72 Formula No. 39-C. (a) Formula. To every 100 gallons of alcohol add: One....Lotions and creams (hand, face, and body). 114.Deodorants (body). 121.Perfumes and perfume tinctures....

  18. 27 CFR 21.71 - Formula No. 39-B.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2014-04-01 2014-04-01 false Formula No. 39-B. 21.71... and Authorized Uses § 21.71 Formula No. 39-B. (a) Formula. To every 100 gallons of alcohol add: Two..., and body). 114.Deodorants (body). 121.Perfumes and perfume tinctures. 122.Toilet waters and...

  19. 27 CFR 21.76 - Formula No. 40-B.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 40-B. 21.76... and Authorized Uses § 21.76 Formula No. 40-B. (a) Formula. To every 100 gallons of alcohol add: One..., face, and body). 114.Deodorants (body). 121.Perfumes and perfume tinctures. 122.Toilet waters...

  20. 27 CFR 21.72 - Formula No. 39-C.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Formula No. 39-C. 21.72... and Authorized Uses § 21.72 Formula No. 39-C. (a) Formula. To every 100 gallons of alcohol add: One....Lotions and creams (hand, face, and body). 114.Deodorants (body). 121.Perfumes and perfume tinctures....

  1. 27 CFR 17.137 - Formulas disapproved for drawback.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... formula may be disapproved for drawback either because it does not prescribe appropriate ingredients in... medicine, a medicinal preparation, a food product, a flavor, a flavoring extract, nor a perfume. The formula for a disapproved product may be used as an intermediate product formula under § 17.126....

  2. 27 CFR 21.72 - Formula No. 39-C.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 39-C. 21.72... and Authorized Uses § 21.72 Formula No. 39-C. (a) Formula. To every 100 gallons of alcohol add: One....Lotions and creams (hand, face, and body). 114.Deodorants (body). 121.Perfumes and perfume tinctures....

  3. 27 CFR 21.76 - Formula No. 40-B.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Formula No. 40-B. 21.76... and Authorized Uses § 21.76 Formula No. 40-B. (a) Formula. To every 100 gallons of alcohol add: One..., face, and body). 114.Deodorants (body). 121.Perfumes and perfume tinctures. 122.Toilet waters...

  4. 27 CFR 17.137 - Formulas disapproved for drawback.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... formula may be disapproved for drawback either because it does not prescribe appropriate ingredients in... medicine, a medicinal preparation, a food product, a flavor, a flavoring extract, nor a perfume. The formula for a disapproved product may be used as an intermediate product formula under § 17.126....

  5. 27 CFR 21.76 - Formula No. 40-B.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2014-04-01 2014-04-01 false Formula No. 40-B. 21.76... and Authorized Uses § 21.76 Formula No. 40-B. (a) Formula. To every 100 gallons of alcohol add: One..., face, and body). 114.Deodorants (body). 121.Perfumes and perfume tinctures. 122.Toilet waters...

  6. 27 CFR 21.74 - Formula No. 40.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2014-04-01 2014-04-01 false Formula No. 40. 21.74... and Authorized Uses § 21.74 Formula No. 40. (a) Formula. To every 100 gallons of alcohol add 1/8..., face, and body). 114.Deodorants (body). 121.Perfumes and perfume tinctures. 122.Toilet waters...

  7. 27 CFR 21.69 - Formula No. 39.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Formula No. 39. 21.69... and Authorized Uses § 21.69 Formula No. 39. (a) Formula. To every 100 gallons of alcohol add: Nine... scalp preparations. 112.Bay rum. 113.Lotions and creams (hand, face, and body). 121.Perfume and...

  8. 27 CFR 21.75 - Formula No. 40-A.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 40-A. 21.75... and Authorized Uses § 21.75 Formula No. 40-A. (a) Formula. To every 100 gallons of alcohol add: One....Deodorants (body). 121.Perfumes and perfume tinctures. 122.Toilet waters and colognes. 141.Shampoos....

  9. 27 CFR 21.75 - Formula No. 40-A.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2014-04-01 2014-04-01 false Formula No. 40-A. 21.75... and Authorized Uses § 21.75 Formula No. 40-A. (a) Formula. To every 100 gallons of alcohol add: One....Deodorants (body). 121.Perfumes and perfume tinctures. 122.Toilet waters and colognes. 141.Shampoos....

  10. 27 CFR 17.137 - Formulas disapproved for drawback.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... formula may be disapproved for drawback either because it does not prescribe appropriate ingredients in... medicine, a medicinal preparation, a food product, a flavor, a flavoring extract, nor a perfume. The formula for a disapproved product may be used as an intermediate product formula under § 17.126....

  11. 27 CFR 21.74 - Formula No. 40.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Formula No. 40. 21.74... and Authorized Uses § 21.74 Formula No. 40. (a) Formula. To every 100 gallons of alcohol add 1/8..., face, and body). 114.Deodorants (body). 121.Perfumes and perfume tinctures. 122.Toilet waters...

  12. 27 CFR 21.74 - Formula No. 40.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 40. 21.74... and Authorized Uses § 21.74 Formula No. 40. (a) Formula. To every 100 gallons of alcohol add 1/8..., face, and body). 114.Deodorants (body). 121.Perfumes and perfume tinctures. 122.Toilet waters...

  13. 27 CFR 17.137 - Formulas disapproved for drawback.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... formula may be disapproved for drawback either because it does not prescribe appropriate ingredients in... medicine, a medicinal preparation, a food product, a flavor, a flavoring extract, nor a perfume. The formula for a disapproved product may be used as an intermediate product formula under § 17.126....

  14. Changing partners: the dance of infant formula changes.

    PubMed

    Polack, F P; Khan, N; Maisels, M J

    1999-12-01

    The purpose of the study was to establish the frequency of, reasons for, and outcome of formula changes in infants. In this survey, we interviewed a convenience sample of 100 parents in our pediatric outpatient clinic and 75 parents in private pediatric office practices regarding their baby's initial formula, changes in formula, age at change, reason for change, initiator of the change, and outcome. The infants were 30-210 days old. Sixteen of the 175 infants (9%) were started on nonstandard formulas at birth. Fifty-eight of the remaining 159 infants (36%) were changed from regular to nonstandard formulas. After using nonstandard formulas, only seven infants (4%) were ever challenged subsequently with regular formula and all did well. Colic and regurgitation were the main reasons for switching formulas. In 47% the decision to change the formula was made by the mother and in 44% by the pediatrician. Following the formula change, mothers reported improvement or complete resolution of symptoms in 80% of infants. Although published estimates of formula intolerance range from 2% to 7.5%, one in three infants experiences a formula change, suggesting that nonstandard formulas are used excessively by both mothers and physicians. Nevertheless, in the vast majority of cases, parents report that the changes result in improvement or resolution of symptoms. Thus, while this practice appears to be a simple and effective intervention, it produces a significant population of soy and other nonstandard formula-fed babies who should be drinking regular formulas. Such changes encourage a belief by parents that their infants are allergic or otherwise abnormal and could have a negative impact on subsequent child development. PMID:10618762

  15. Path collapse in Feynman formula. Stable path integral formula from local time reparametrization invariant amplitude

    NASA Astrophysics Data System (ADS)

    Kleinert, H.

    1989-06-01

    The Feynman formula, which expresses the time displacement amplitude > x b | exp (-t Ȟ) | x a< in terms of a path integral Π 1N (∫ dn) Π 1N+1 ( {∫ dp n}/{2π}) exp{Σ 1N [ ip n(x n-x n-1) - ɛH (p n, x n)]} with large N, does not exist for systems with Coulomb {-1}/{r} potential and gives incorrect threshold behaviours near centrifugal {1}/{r 2} or angular {1}/{sin2θ } barriers. We discuss the physical origin of this failure and propose an alternative well-defined path integral formula based on a family of amplitudes that is invariant under arbitrary local time reparametrizations. The time slicing with finite N breaks this invariance. For appropriate choices of the reparametrization function the fluctuations are stabilized and the new formula is applicable to all the above systems.

  16. The chemical formula of a magnetotactic bacterium.

    PubMed

    Naresh, Mohit; Das, Sayoni; Mishra, Prashant; Mittal, Aditya

    2012-05-01

    Elucidation of the chemical logic of life is one of the grand challenges in biology, and essential to the progress of the upcoming field of synthetic biology. Treatment of microbial cells explicitly as a "chemical" species in controlled reaction (growth) environments has allowed fascinating discoveries of elemental formulae of a few species that have guided the modern views on compositions of a living cell. Application of mass and energy balances on living cells has proved to be useful in modeling of bioengineering systems, particularly in deriving optimized media compositions for growing microorganisms to maximize yields of desired bio-derived products by regulating intra-cellular metabolic networks. In this work, application of elemental mass balance during growth of Magnetospirillum gryphiswaldense in bioreactors has resulted in the discovery of the chemical formula of the magnetotactic bacterium. By developing a stoichiometric equation characterizing the formation of a magnetotactic bacterial cell, coupled with rigorous experimental measurements and robust calculations, we report the elemental formula of M. gryphiswaldense cell as CH(2.06)O(0.13)N(0.28)Fe(1.74×10(-3)). Remarkably, we find that iron metabolism during growth of this magnetotactic bacterium is much more correlated individually with carbon and nitrogen, compared to carbon and nitrogen with each other, indicating that iron serves more as a nutrient during bacterial growth rather than just a mineral. Magnetotactic bacteria have not only invoked some interest in the field of astrobiology for the last two decades, but are also prokaryotes having the unique ability of synthesizing membrane bound intracellular organelles. Our findings on these unique prokaryotes are a strong addition to the limited repertoire, of elemental compositions of living cells, aimed at exploring the chemical logic of life. PMID:22170293

  17. A Hartree-Fock-Bogoliubov mass formula

    NASA Astrophysics Data System (ADS)

    Samyn, M.; Goriely, S.; Heenen, P.-H.; Pearson, J. M.; Tondeur, F.

    2002-03-01

    In order to have more reliable predictions of nuclear masses at the neutron drip line, we here go beyond the recent mass formula HFBCS-1 and present a new mass formula, HFB-1, based on the Hartree-Fock-Bogoliubov method. As with the HFBCS-1 mass formula, we use a 10-parameter Skyrme force along with a 4-parameter δ-function pairing force and a 2-parameter phenomenological Wigner term. However, with the original HFBCS-1 Skyrme force (MSk7), the rms error becomes unacceptably large and a new force fit is required. With the isoscalar and isovector effective masses constrained to be equal, the remaining 15 degrees of freedom are fitted to the masses of all the 1754 measured nuclei with A⩾16, | N- Z|>2 given in the 1995 Audi-Wapstra compilation. The rms error with respect to the masses of all the 1888 measured nuclei with Z, N⩾8 is 0.764 MeV. A complete mass table, HFB-1 (available on the Web), has been constructed, giving all nuclei lying between the two drip lines over the range Z, N⩾8 and Z⩽120. A comparison between HFB-1 and HFBCS-1 mass tables shows that the HFBCS model is a very good approximation of the HFB theory, in particular for masses, the extrapolated masses never differing by more than 2 MeV below Z⩽110. We also find that the behaviour of shell gaps far away from the region of beta stability does not depend on whether the HFBCS or HFB methods are used, in particular, no quenching of astrophysical interest arises from replacing the BCS method by the Bogoliubov method.

  18. Breastfeeding versus infant formula: the Kenyan case.

    PubMed

    Elliot, T C; Agunda, K O; Kigondu, J G; Kinoti, S N; Latham, M C

    1985-02-01

    An Infant Feeding Practices Study (IFPS) in 1982 in Kenya, which included a cross-sectional survey of a weighted sample of 980 low and middle income Nairobi mothers who had given birth in the previous 18 months, found that most women breastfeed their infants for long periods, but many introduce alternate feeding, especially infant formula, in the 1st 4 months (86 and 50% of the infants were breastfed at 6 and 15 months respectively, but 50% of the 2 month-olds and 63% of the 4 month-olds were receiving substitutes, mostly formula). This is done largely out of the belief that infant formula is an additional health benefit. A workshop to discuss the findings of the IFPS and other available data, and to make policy recommendations urged the adoption of a policy of protection, support and promotion of breastfeeding. Since breastfeeding is already widely prevalent in Kenya, protection of breastfeeding should receive the 1st priority in policy related to infant feeding. Attention should be directed at at least 2 influences which help undermine breastfeeding: widespread availability and promotion of breast milk substitutes. Support for breastfeeding is viewed as the 2nd policy priority. Situations where support can play a helpful role are, women's paid employment outside the home, hospital practices, maternal morbidity, and difficulties in breastfeeding. Since promotion is the least cost effective of the 3 options, and most Kenyan women are already motivated to breastfeed, this should be the last priority. Promotion includes reeduction of mothers to make them better aware of the benefits of breastfeeding. The workshop recommended the dissemination of appropriate information, consisting of standarized messages based on clearcut guidelines, using mass media techniques. PMID:12280100

  19. Infant formula companies battle for breast.

    PubMed

    1996-01-01

    The infant formula manufacturer Mead Johnson has filed a lawsuit in Ontario courts against its competitor Ross Abbott for false advertising of its new Similac brand of infant formula. Mead Johnson contends that the Ross Abbott advertisement of Similac as providing benefits similar to mother's milk is false and misleading. Breast feeding specialists agree with Mead Johnson's claim. Yet, one year earlier, Mead Johnson claimed that its infant formula is modeled after mother's milk. The Infant Feeding Action Coalition (INFACT) Canada had complained to the Competition Bureau that called for Mead Johnson to cease its claim. Court documents reveal that both companies disregard the World Health Organization (WHO) International Code of Marketing of Breast Milk Substitutes. This code prohibits manufacturers from advertising directly to pregnant women and mothers. Two Ross Abbott spokespersons have different responses to their advertising practices: increasing emphasis on consumer promotion and support of the principle and objective of the WHO Code. Both companies have sought support of health professionals in Canada. In July 1996 Mead Johnson sent letters to about 7000 clinicians declaring "as someone who cares about infant health and nutrition as much as we do" and "...the most alarming concern is that, although there is no scientific basis for such claims, mothers believe them to be true." Ross Abbott responded to these letters by sending physicians letters declaring "Our business is built on trust, and we assure you that you may trust in Similac Advance and the benefits we have ascribed to it." The two companies will meet again in court on September 30, 1996. PMID:12320465

  20. Derivation of New Readability Formulas (Automated Readability Index, Fog Count and Flesch Reading Ease Formula) for Navy Enlisted Personnel.

    ERIC Educational Resources Information Center

    Kincaid, J. P.; And Others

    Three readability formulas were recalculated to be more suitable for Navy use. The three formulas are the Automated Readability Index (ARI), Fog Count, and Flesch Reading Ease Formula. They were derived from test results of 531 Navy enlisted personnel enrolled in four technical training schools. Personnel were tested for their reading…

  1. Gauss Legendre Quadrature Formulae for Tetrahedra

    NASA Astrophysics Data System (ADS)

    Rathod, H. T.; Venkatesudu, B.; Nagaraja, K. V.

    2005-09-01

    In this paper we consider the Gauss Legendre quadrature method for numerical integration over the standard tetrahedron: {(x, y, z)|0 = x, y, z = 1, x + y + z = 1} in the Cartesian three-dimensional (x, y, z) space. The mathematical transformation from the (x, y, z) space to (?, ?, ?) space is described to map the standard tetrahedron in (x, y, z) space to a standard 2-cube: {(?, ?, ?)| - 1 = ?, ?,? = 1} in the (?, ?, ?) space. This overcomes the difficulties associated with the derivation of new weight co-efficients and sampling points. The effectiveness of the formulae is demonstrated by applying them to the integration of three nonpolynomial and three polynomial functions.

  2. Mirror nuclei constraint in nuclear mass formula

    SciTech Connect

    Wang Ning; Liang Zuoying; Liu Min; Wu, Xizhen

    2010-10-15

    The macroscopic-microscopic mass formula is further improved by considering mirror nuclei constraint. The rms deviation with respect to 2149 measured nuclear masses is reduced to 0.441 MeV. The shell corrections, the deformations of nuclei, the neutron and proton drip lines, and the shell gaps are also investigated to test the model. The rms deviation of {alpha}-decay energies of 46 superheavy nuclei is reduced to 0.263 MeV. The predicted central position of the superheavy island could lie around N=176{approx}178 and Z=116{approx}120 according to the shell corrections of nuclei.

  3. Implementing successful strategic plans: a simple formula.

    PubMed

    Blondeau, Whitney; Blondeau, Benoit

    2015-01-01

    Strategic planning is a process. One way to think of strategic planning is to envision its development and design as a framework that will help your hospital navigate through internal and external changing environments over time. Although the process of strategic planning can feel daunting, following a simple formula involving five steps using the mnemonic B.E.G.I.N. (Begin, Evaluate, Goals & Objectives, Integration, and Next steps) will help the planning process feel more manageable, and lead you to greater success. PMID:26058285

  4. Automatic Abstraction for Intervals Using Boolean Formulae

    NASA Astrophysics Data System (ADS)

    Brauer, Jörg; King, Andy

    Traditionally, transfer functions have been manually designed for each operation in a program. Recently, however, there has been growing interest in computing transfer functions, motivated by the desire to reason about sequences of operations that constitute basic blocks. This paper focuses on deriving transfer functions for intervals - possibly the most widely used numeric domain - and shows how they can be computed from Boolean formulae which are derived through bit-blasting. This approach is entirely automatic, avoids complicated elimination algorithms, and provides a systematic way of handling wrap-arounds (integer overflows and underflows) which arise in machine arithmetic.

  5. Some new addition formulae for Weierstrass elliptic functions

    PubMed Central

    Eilbeck, J. Chris; England, Matthew; Ônishi, Yoshihiro

    2014-01-01

    We present new addition formulae for the Weierstrass functions associated with a general elliptic curve. We prove the structure of the formulae in n-variables and give the explicit addition formulae for the 2- and 3-variable cases. These new results were inspired by new addition formulae found in the case of an equianharmonic curve, which we can now observe as a specialization of the results here. The new formulae, and the techniques used to find them, also follow the recent work for the generalization of Weierstrass functions to curves of higher genus. PMID:25383018

  6. Synthesizing Dynamic Programming Algorithms from Linear Temporal Logic Formulae

    NASA Technical Reports Server (NTRS)

    Rosu, Grigore; Havelund, Klaus

    2001-01-01

    The problem of testing a linear temporal logic (LTL) formula on a finite execution trace of events, generated by an executing program, occurs naturally in runtime analysis of software. We present an algorithm which takes an LTL formula and generates an efficient dynamic programming algorithm. The generated algorithm tests whether the LTL formula is satisfied by a finite trace of events given as input. The generated algorithm runs in linear time, its constant depending on the size of the LTL formula. The memory needed is constant, also depending on the size of the formula.

  7. Infant formula distribution and advertising in pregnancy: a hospital survey.

    PubMed

    Howard, C R; Howard, F M; Weitzman, M L

    1994-03-01

    A survey was conducted at a 526-bed community hospital in Rochester, New York, to determine the prevalence of formula advertising and distribution during pregnancy to 136 consecutive intrapartum patients. Women answered a questionnaire about their choice of infant feeding methods and prenatal exposure to formula advertising. Of those who received printed information on infant feeding, 78 percent reported that it was published by a formula company, and 65 percent recalled receiving offers for free formula during their pregnancy. The likelihood of having received such offers was the same in women who planned to breastfeed as in those who planned to formula feed. Thirty-eight percent of women obtained formula through a free offer before their infant's birth. Women who were privately cared for were more likely to have received offers for free formula (p < 0.001) than were women cared for in hospital-affiliated clinics. Ninety percent of women who received free formula prenatally reported their prenatal caregiver as a source of samples. Of samples that women obtained prenatally, 93 percent were from companies that advertise only indirectly through hospitals and physicians, whereas 7 percent were from companies that advertise directly to patients. The prevalence of formula company advertising during the prenatal care of women who deliver in this hospital is high. The continued participation of prenatal caregivers in promotion efforts of formula companies provides a negative or mixed message about the importance of breastfeeding and may be a barrier to its success. PMID:8155218

  8. Black-Scholes Formula in Subdiffusive Regime

    NASA Astrophysics Data System (ADS)

    Magdziarz, Marcin

    2009-08-01

    In the classical approach the price of an asset is described by the celebrated Black-Scholes model. In this paper we consider a generalization of this model, which captures the subdiffusive characteristics of financial markets. We introduce a subdiffusive geometric Brownian motion as a model of asset prices exhibiting subdiffusive dynamics. We find the corresponding fractional Fokker-Planck equation governing the dynamics of the probability density function of the introduced process. We prove that the considered model is arbitrage-free and incomplete. We find the corresponding subdiffusive Black-Scholes formula for the fair prices of European options and show how these prices can be evaluated using Monte-Carlo methods. We compare the obtained results with the classical ones.

  9. An Overview of Traditional Chinese Herbal Formulae and a Proposal of a New Code System for Expressing the Formula Titles

    PubMed Central

    2004-01-01

    Traditional Chinese herbal therapy can be characterized by the use of a large number of multi-herb formulae. To provide modern and Western scientists without knowledge of Chinese literature and cultural background easy access to information, a database with a total of 11 810 traditional Chinese herbal formulae was constructed. All the information was then translated into understandable scientific terms in English. While coining the formula titles in English, we discovered some principles governing the naming of titles by using computer analysis. In addition, we observed that about 92% of the formulae are in the range of single-herb formulae to thirteen-herb formulae. Most large number-herb formulae are formulated by combining pre-existing smaller number-herb formulae. The King herbs () with major therapeutic activity in a multi-herb formula were identified by the formulation concept using two parameters: the herbal dose and the herbal drug property (the degree of toxicity). Based on such analytical data, we established an English code system representing all formula titles written in ideographic Chinese characters: an array of important key words such as ‘Herbal name in Latin + Efficacy (Target organs) + Preparation form + Number of herbs.’ By searching the English version of the database with any of the above key words, a variety of information on the status of traditional Chinese herbal therapy can be accessed. PMID:15480438

  10. Identification of embedded mathematical formulas in PDF documents using SVM

    NASA Astrophysics Data System (ADS)

    Lin, Xiaoyan; Gao, Liangcai; Tang, Zhi; Hu, Xuan; Lin, Xiaofan

    2012-01-01

    With the tremendous popularity of PDF format, recognizing mathematical formulas in PDF documents becomes a new and important problem in document analysis field. In this paper, we present a method of embedded mathematical formula identification in PDF documents, based on Support Vector Machine (SVM). The method first segments text lines into words, and then classifies each word into two classes, namely formula or ordinary text. Various features of embedded formulas, including geometric layout, character and context content, are utilized to build a robust and adaptable SVM classifier. Embedded formulas are then extracted through merging the words labeled as formulas. Experimental results show good performance of the proposed method. Furthermore, the method has been successfully incorporated into a commercial software package for large-scale e-Book production.

  11. Infant Formulas for Food Allergy Treatment and Prevention.

    PubMed

    Parekh, Hetu; Bahna, Sami L

    2016-04-01

    The number of infant formulas intended for food allergy treatment or prevention has been increasing. Some products fulfill the criteria for hypoallergenicity, such as extensively hydrolyzed protein (casein or whey) and synthesized amino acid formulas (elemental diet). Numerous partially hydrolyzed formulas have been derived from bovine milk, soybean, and rice. They are not hypoallergenic and are not recommended for children allergic to the parent protein, yet certain preparations have shown efficacy for allergy prevention. Soybean-derived preparations, although not hypoallergenic, have been tolerated by a majority of children allergic to bovine milk. Studies on the addition of probiotics or prebiotics to infant formulas have shown inconsistent findings. Numerous hypoallergenic formulas or milk substitutes are available for pediatricians to choose for children with food allergy. Caution is needed in prescribing formulas that are erroneously marketed as hypoallergenic. [Pediatr Ann. 2016;45(4):e150-e156.]. PMID:27064473

  12. An approximate formula for recalescence in binary eutectic alloys

    NASA Technical Reports Server (NTRS)

    Ohsaka, K.; Trinh, E. H.

    1993-01-01

    In alloys, solidification takes place along various paths which may be ascertained via phase diagrams; while there would be no single formula applicable to all alloys, an approximate formula for a specific solidification path would be useful in estimating the fraction of the solid formed during recalescence. A formulation is here presented of recalescence in binary eutectic alloys. This formula is applied to Ag-Cu alloys which are of interest in containerless solidification, due to their formation of supersaturated solutions.

  13. Improvement in a phenomenological formula for ground state binding energies

    NASA Astrophysics Data System (ADS)

    Gangopadhyay, G.

    2016-07-01

    The phenomenological formula for ground state binding energy derived earlier [G. Gangopadhyay, Int. J. Mod. Phys. E 20 (2011) 179] has been modified. The parameters have been obtained by fitting the latest available tabulation of experimental values. The major modifications include a new term for pairing and introduction of a new neutron magic number at N = 160. The new formula reduced the root mean square deviation to 363keV, a substantial improvement over the previous version of the formula.

  14. Power formula for open-channel flow resistance

    USGS Publications Warehouse

    Chen, Cheng-lung

    1988-01-01

    This paper evaluates various power formulas for flow resistance in open channels. Unlike the logarithmic resistance equation that can be theoretically derived either from Prandtl's mixing-length hypothesis or von Karman's similarity hypothesis, the power formula has long had an appearance of empiricism. Nevertheless, the simplicity in the form of the power formula has made it popular among the many possible forms of flow resistance formulas. This paper reexamines the concept and rationale of the power formulation, thereby addressing some critical issues in the modeling of flow resistance.

  15. Analytic formulas for magnetron characteristic curves

    SciTech Connect

    Riyopoulos, S.

    1995-12-31

    A closed non-linear set of equations is obtained based on the guiding center fluid model to describe steady-state magnetron operation. Spoke charge effects are included self-consistently, by introducing a mean-field approximation so that the effective AC potential preserves the geometric similarity with the vacuum solutions. New characteristic equations, relating the anode current 1 and the RF power P to the applied DC voltage V at given RF frequency, are obtained. Previously obtained V-I equations disagree with experiments in that (a) anode current and RF power go to zero when the resonance condition V = V{sub s} is met, (b) the operation voltage V is a double-valued function of the current I; there exist two nearly symmetric operation points around V{sub s} at the same current I. Yet magnetrons, and the related crossed-field amplifiers, are known to exhibit stable operation with single valued V-I characteristics well below V{sub s}. Although zero gain at synchronism applies to other microwave devices (TWT`s, FEL`s), experimental results and particle simulations of crossed field devices suggest otherwise. The new formulas show reasonable agreement with experiments.

  16. Development of formula varsity race car chassis

    NASA Astrophysics Data System (ADS)

    Abdullah, M. A.; Mansur, M. R.; Tamaldin, N.; Thanaraj, K.

    2013-12-01

    Three chassis designs have been developed using commercial computer aided design (CAD) software. The design is based on the specifications of UTeM Formula VarsityTM 2012 (FV2012). The selection of the design is derived from weighted matrix which consists of reliability, cost, time consumption and weight. The score of the matrix is formulated based on relative weighted factor among the selections. All three designs are then fabricated using selected materials available. The actual cost, time consumption and weight of the chassis's are compared with the theoretical weighted scores. Standard processes of cuttings, fittings and welding are performed in chassis mock up and fabrication. The chassis is later assembled together with suspension systems, steering linkages, brake systems, engine system, and drive shaft systems. Once the chassis is assembled, the studies of driver's ergonomic and part accessibility are performed. The completion in final fittings and assembly of the race car and its reliability demonstrate an outstanding design for manufacturing (DFM) practices of the chassis.

  17. But Can They Read It? A Look at Readability Formulas

    ERIC Educational Resources Information Center

    Ricker, Kenneth S.

    1978-01-01

    Examines six science books in reference to their reading levels as determined by the Fry, SMOG, and Fog formulas. A disparity in calculated values is noted and explained to be the result of the use of different comprehension levels by the formulas. Suggestions concerning the selection of science reading materials for the classroom are provided.…

  18. Reflections about possible nutritional supplements in infant milk formula.

    PubMed

    Böhles, H; Gebhardt, B; Beeg, T

    1998-06-01

    The composition of infant milk formula intends to mirror breast milk as close as possible. However, there are a variety of substances, like amino acids, fatty acids, polyamines, nucleotides, oligosaccharides, functional proteins, hormones, vitamins, and minerals, which are attributed effects in special situations. A concept is proposed to develop problem oriented "supplementation packages" for infant milk formula. PMID:9698641

  19. A precompiler for the formula manipulation system TRIGMAN.

    NASA Technical Reports Server (NTRS)

    Jefferys, W. H.

    1972-01-01

    Discussion of a translator designed to simplify the programming of problems involving the TRIGMAN formula manipulation system. The translator allows for the introduction of a new data type, SERIES, into a FORTRAN program and translates a user's program into legal FORTRAN. The translator is adaptable to other formula manipulation systems presently used in celestial mechanics.

  20. 34 CFR 303.200 - Formula for State allocations.

    Code of Federal Regulations, 2010 CFR

    2010-07-01

    ... 34 Education 2 2010-07-01 2010-07-01 false Formula for State allocations. 303.200 Section 303.200 Education Regulations of the Offices of the Department of Education (Continued) OFFICE OF SPECIAL EDUCATION... TODDLERS WITH DISABILITIES Procedures for Making Grants to States § 303.200 Formula for State...

  1. A Preliminary Analysis of California's New Local Control Funding Formula

    ERIC Educational Resources Information Center

    Wolf, Rebecca; Sands, Janelle

    2016-01-01

    California recently overhauled its K-12 public education finance system. Enacted in 2013, the Local Control Funding Formula (LCFF) replaced California's 40-year-old funding formula. The LCFF increases district officials' fiscal flexibility; provides more resources to districts serving larger proportions of low-income, English learner (EL), and…

  2. 14 CFR 271.7 - Subsidy payout formula.

    Code of Federal Regulations, 2010 CFR

    2010-01-01

    ... 14 Aeronautics and Space 4 2010-01-01 2010-01-01 false Subsidy payout formula. 271.7 Section 271.7 Aeronautics and Space OFFICE OF THE SECRETARY, DEPARTMENT OF TRANSPORTATION (AVIATION PROCEEDINGS) ECONOMIC... payout formula. (a) Subsidy will be paid by the Department to the air carrier monthly, based on...

  3. 9 CFR 381.134 - Requirement of formulas.

    Code of Federal Regulations, 2010 CFR

    2010-01-01

    ... 9 Animals and Animal Products 2 2010-01-01 2010-01-01 false Requirement of formulas. 381.134 Section 381.134 Animals and Animal Products FOOD SAFETY AND INSPECTION SERVICE, DEPARTMENT OF AGRICULTURE... Requirement of formulas. Copies of each label submitted for approval, shall when the Administrator requires...

  4. 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.)

  5. Evaporation from flowing channels ( mass-transfer formulas).

    USGS Publications Warehouse

    Fulford, J.M.; Sturm, T.W.

    1984-01-01

    Stability-dependent and Dalton-type mass transfer formulas are determined from experimental evaporation data in ambient and heated channels and are shown to have similar performance in prediction of evaporation. The formulas developed are compared with those proposed by other investigators for lakes and flowing channels. -from ASCE Publications Information

  6. 45 CFR 1385.8 - Formula for determining allotments.

    Code of Federal Regulations, 2010 CFR

    2010-10-01

    ... 45 Public Welfare 4 2010-10-01 2010-10-01 false Formula for determining allotments. 1385.8 Section 1385.8 Public Welfare Regulations Relating to Public Welfare (Continued) OFFICE OF HUMAN DEVELOPMENT... Formula for determining allotments. The Commissioner will allocate funds appropriated under the Act...

  7. 12 CFR 217.143 - Supervisory formula approach (SFA).

    Code of Federal Regulations, 2014 CFR

    2014-01-01

    ... 12 Banks and Banking 2 2014-01-01 2014-01-01 false Supervisory formula approach (SFA). 217.143... Measurement Approaches Risk-Weighted Assets for Securitization Exposures § 217.143 Supervisory formula... than L + T, the Board-regulated institution must apply a 1,250 percent risk weight to an amount...

  8. 12 CFR 3.211 - Simplified supervisory formula approach (SSFA).

    Code of Federal Regulations, 2014 CFR

    2014-01-01

    ... 12 Banks and Banking 1 2014-01-01 2014-01-01 false Simplified supervisory formula approach (SSFA). 3.211 Section 3.211 Banks and Banking COMPTROLLER OF THE CURRENCY, DEPARTMENT OF THE TREASURY CAPITAL ADEQUACY STANDARDS Risk-Weighted Assets-Market Risk § 3.211 Simplified supervisory formula approach (SSFA). (a) General requirements. To use...

  9. Developing a Workload Formula for High Technology Faculty.

    ERIC Educational Resources Information Center

    Thomas, Wanda E.; Barker, Stephen C.

    A set of criteria for determining faculty workloads in light of changing roles and responsibilities is presented along with a formula that institutions can use to assess faculty workloads. After introductory material, the first section defines a workload formula as a method of determining the responsibilities a faculty member must carry out in a…

  10. 12 CFR 217.144 - Simplified supervisory formula approach (SSFA).

    Code of Federal Regulations, 2014 CFR

    2014-01-01

    ... 12 Banks and Banking 2 2014-01-01 2014-01-01 false Simplified supervisory formula approach (SSFA... Simplified supervisory formula approach (SSFA). (a) General requirements for the SSFA. To use the SSFA to determine the risk weight for a securitization exposure, a Board-regulated institution must have data...

  11. 12 CFR 217.211 - Simplified supervisory formula approach (SSFA).

    Code of Federal Regulations, 2014 CFR

    2014-01-01

    ... 12 Banks and Banking 2 2014-01-01 2014-01-01 false Simplified supervisory formula approach (SSFA... Simplified supervisory formula approach (SSFA). (a) General requirements. To use the SSFA to determine the... the weight for each exposure) total capital requirement of the underlying exposures calculated...

  12. Formulaic Speech in Early Classroom Second Language Development.

    ERIC Educational Resources Information Center

    Ellis, Rod

    Formulaic speech, expressions learned as unanalyzed wholes and used on particular occasions by native speakers, is contrasted to "grammatical" sentences using novel combinations of words in the second language classroom. The speech produced by three limited English-speaking children in an English program suggests that formulaic speech enables…

  13. Emittance formula for slits and pepper-pot measurement

    SciTech Connect

    Zhang, M.

    1996-10-01

    In this note, a rigid formula for slits and pepper-pot emittance measurement is derived. The derivation is based on the one- dimensional slit measurement setup. A mathematical generalization of the slit emittance formula to the pepper-pot measurement is discussed.

  14. 27 CFR 21.3 - Stocks of discontinued formulas.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Stocks of discontinued..., DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM General Provisions § 21.3 Stocks of discontinued formulas. Denaturers, or specially denatured spirits dealers or users, having on hand stocks...

  15. Formula Student as Part of a Mechanical Engineering Curriculum

    ERIC Educational Resources Information Center

    Davies, Huw Charles

    2013-01-01

    Formula Student (FS) is a multi-university student design competition managed by the UK Institution of Mechanical Engineers. Students are required to demonstrate and prove their creativity and engineering skills through the design, manufacture and financing of a small formula style race car. This paper seeks to explore the educational value that…

  16. Geometrical Simplification of the Dipole-Dipole Interaction Formula

    ERIC Educational Resources Information Center

    Kocbach, Ladislav; Lubbad, Suhail

    2010-01-01

    Many students meet dipole-dipole potential energy quite early on when they are taught electrostatics or magnetostatics and it is also a very popular formula, featured in encyclopedias. We show that by a simple rewriting of the formula it becomes apparent that, for example, by reorienting the two dipoles, their attraction can become exactly twice…

  17. Simple analytic formula for the strength of spin depolarizing resonance

    SciTech Connect

    Lee, S.Y.

    1985-01-01

    A simple analytic formula is derived to explain the periodicity of spin depolarizing resonance. The spin depolarizing resonance strengths of CPS and SPS at CERN and the lattices of meson factory at TRIUMF are used to compare with the analytic formula.

  18. 27 CFR 5.28 - Adoption of predecessor's formulas.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2012-04-01 2012-04-01 false Adoption of predecessor's..., DEPARTMENT OF THE TREASURY LIQUORS LABELING AND ADVERTISING OF DISTILLED SPIRITS Formulas § 5.28 Adoption of predecessor's formulas. The adoption by a successor of approved Forms 5110.38 (27-B Supplemental) shall be...

  19. 27 CFR 5.28 - Adoption of predecessor's formulas.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Adoption of predecessor's..., DEPARTMENT OF THE TREASURY LIQUORS LABELING AND ADVERTISING OF DISTILLED SPIRITS Formulas § 5.28 Adoption of predecessor's formulas. The adoption by a successor of approved Forms 5110.38 (27-B Supplemental) shall be...

  20. 27 CFR 5.28 - Adoption of predecessor's formulas.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Adoption of predecessor's..., DEPARTMENT OF THE TREASURY LIQUORS LABELING AND ADVERTISING OF DISTILLED SPIRITS Formulas § 5.28 Adoption of predecessor's formulas. The adoption by a successor of approved Forms 5110.38 (27-B Supplemental) shall be...

  1. 27 CFR 5.28 - Adoption of predecessor's formulas.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2014-04-01 2014-04-01 false Adoption of predecessor's..., DEPARTMENT OF THE TREASURY ALCOHOL LABELING AND ADVERTISING OF DISTILLED SPIRITS Formulas § 5.28 Adoption of predecessor's formulas. The adoption by a successor of approved Forms 5110.38 (27-B Supplemental) shall be...

  2. 27 CFR 5.28 - Adoption of predecessor's formulas.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Adoption of predecessor's..., DEPARTMENT OF THE TREASURY ALCOHOL LABELING AND ADVERTISING OF DISTILLED SPIRITS Formulas § 5.28 Adoption of predecessor's formulas. The adoption by a successor of approved Forms 5110.38 (27-B Supplemental) shall be...

  3. Concise Formulas for the Standard Errors of Component Loading Estimates.

    ERIC Educational Resources Information Center

    Ogasawara, Haruhiko

    2002-01-01

    Derived formulas for the asymptotic standard errors of component loading estimates to cover the cases of principal component analysis for unstandardized and standardized variables with orthogonal and oblique rotations. Used the formulas with a real correlation matrix of 355 subjects who took 12 psychological tests. (SLD)

  4. 27 CFR 21.23 - Formula No. 19.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 19. 21.23 Section 21.23 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Completely Denatured Alcohol...

  5. 27 CFR 21.22 - Formula No. 18.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2012-04-01 2012-04-01 false Formula No. 18. 21.22 Section 21.22 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Completely Denatured Alcohol...

  6. 27 CFR 21.22 - Formula No. 18.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Formula No. 18. 21.22 Section 21.22 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Completely Denatured Alcohol...

  7. 27 CFR 21.23 - Formula No. 19.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2014-04-01 2014-04-01 false Formula No. 19. 21.23 Section 21.23 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Completely Denatured Alcohol...

  8. 27 CFR 21.23 - Formula No. 19.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2012-04-01 2012-04-01 false Formula No. 19. 21.23 Section 21.23 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Completely Denatured Alcohol...

  9. 27 CFR 21.22 - Formula No. 18.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 18. 21.22 Section 21.22 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Completely Denatured Alcohol...

  10. 27 CFR 21.23 - Formula No. 19.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Formula No. 19. 21.23 Section 21.23 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Completely Denatured Alcohol...

  11. 27 CFR 21.22 - Formula No. 18.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2014-04-01 2014-04-01 false Formula No. 18. 21.22 Section 21.22 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Completely Denatured Alcohol...

  12. Positive interpolatory quadrature formulas and para-orthogonal polynomials

    NASA Astrophysics Data System (ADS)

    Bultheel, Adhemar; Daruis, Leyla; Gonzalez-Vera, Pablo

    2005-07-01

    We establish a relation between quadrature formulas on the interval [-1,1] that approximate integrals of the form and Szego quadrature formulas on the unit circle that approximate integrals of the form . The functions [mu](x) and [omega]([theta]) are assumed to be weight functions on [-1,1] and [-[pi],[pi

  13. 47 CFR 73.190 - Engineering charts and related formulas.

    Code of Federal Regulations, 2010 CFR

    2010-10-01

    ... 47 Telecommunication 4 2010-10-01 2010-10-01 false Engineering charts and related formulas. 73.190 Section 73.190 Telecommunication FEDERAL COMMUNICATIONS COMMISSION (CONTINUED) BROADCAST RADIO SERVICES RADIO BROADCAST SERVICES AM Broadcast Stations § 73.190 Engineering charts and related formulas....

  14. A More Intuitive Version of the Lorentz Velocity Addition Formula

    ERIC Educational Resources Information Center

    Devlin, John F.

    2009-01-01

    The Lorentz velocity addition formula for one-dimensional motion presents a number of problems for beginning students of special relativity. In this paper we suggest a simple rewrite of the formula that is easier for students to memorize and manipulate, and furthermore is more intuitive in understanding the correction necessary when adding…

  15. 20 CFR 225.3 - PIA computation formulas.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 20 Employees' Benefits 1 2013-04-01 2012-04-01 true PIA computation formulas. 225.3 Section 225.3 Employees' Benefits RAILROAD RETIREMENT BOARD REGULATIONS UNDER THE RAILROAD RETIREMENT ACT PRIMARY INSURANCE AMOUNT DETERMINATIONS General § 225.3 PIA computation formulas. (a) General. PIA's are...

  16. Formulaic Sequences and Their Relationship with Speaking and Listening Abilities

    ERIC Educational Resources Information Center

    Khodadady, Ebrahim; Shamsaee, Saeedeh

    2012-01-01

    This paper aims to investigate the relationship between the use of formulaic sequences (FSs), speaking ability and speech fluency. Formulae form a considerable portion of native-speakers' speech and mastering them helps learners to appear more native-like. In this study 41 learners of English were interviewed and their speech fluency, level of…

  17. 27 CFR 26.224 - Filing and disposition of formulas.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2012-04-01 2012-04-01 false Filing and disposition of formulas. 26.224 Section 26.224 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS LIQUORS AND ARTICLES FROM PUERTO RICO AND THE VIRGIN ISLANDS Formulas for Products From the...

  18. 27 CFR 26.50 - Formulas for liquors.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2012-04-01 2012-04-01 false Formulas for liquors. 26.50 Section 26.50 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS LIQUORS AND ARTICLES FROM PUERTO RICO AND THE VIRGIN ISLANDS Formulas for Products From Puerto Rico § 26.50...

  19. 27 CFR 26.220 - Formulas for liquors.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2012-04-01 2012-04-01 false Formulas for liquors. 26.220 Section 26.220 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS LIQUORS AND ARTICLES FROM PUERTO RICO AND THE VIRGIN ISLANDS Formulas for Products From the Virgin Islands §...

  20. 27 CFR 26.54 - Filing and disposition of formulas.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2012-04-01 2012-04-01 false Filing and disposition of formulas. 26.54 Section 26.54 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS LIQUORS AND ARTICLES FROM PUERTO RICO AND THE VIRGIN ISLANDS Formulas for Products From Puerto Rico §...

  1. Infant feeding: a critical look at infant formulas.

    PubMed

    Motil, K J

    2000-10-01

    Commercially available infant formulas serve as the best alternative to human milk when breastfeeding is not possible. Infant formulas are designed specifically to mimic the composition of human milk or the functional aspects of human milk feeding. This review highlights the issues related to the composition of infant formulas. The most hotly debated issue currently is whether to add long-chain polyunsaturated fatty acids to infant formulas. Other controversial topics include the safety and efficacy of soy-based protein formulas, protein quantity and quality as they relate to the infant's nutritional needs and feeding tolerance, and the replacement of lactose with other carbohydrate sources for specialized infant formulas. Recent modifications in the fat blend of infant formulas have led to improved fat digestibility. However, the full spectrum of benefits associated with the addition of nucleotides awaits further study. Modifications to infant formulas are made when the preponderance of scientific evidence suggests that the compositional change will better meet the nutritional needs of the infant. PMID:11021413

  2. Energy-shifting formulae yield reliable reaction and capture probabilities

    NASA Astrophysics Data System (ADS)

    Diaz-Torres, A.; Adamian, G. G.; Sargsyan, V. V.; Antonenko, N. V.

    2014-12-01

    Predictions of energy-shifting formulae for partial reaction and capture probabilities are compared with coupled channels calculations. The quality of the agreement notably improves with increasing mass of the system and/or decreasing mass asymmetry in the heavy-ion collision. The formulae are reliable and useful for circumventing impracticable reaction calculations at low energies.

  3. Formulaic Sequences and the Implications for Second Language Learning

    ERIC Educational Resources Information Center

    Xu, Qi

    2016-01-01

    The present paper is a review of literature in relation to formulaic sequences and the implications for second language learning. The formulaic sequence is a significant part of our language, and plays an essential role in both first and second language learning. The paper first introduces the definition, classifications, and major features of…

  4. 24 CFR 990.195 - Calculation of formula income.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... communications with the respective PHAs. (e) Inapplicability of 24 CFR 85.25. Formula income is not subject to the provisions regarding program income in 24 CFR 85.25. ... 24 Housing and Urban Development 4 2010-04-01 2010-04-01 false Calculation of formula income....

  5. 27 CFR 21.55 - Formula No. 28-A.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2014-04-01 2014-04-01 false Formula No. 28-A. 21.55 Section 21.55 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits...

  6. 27 CFR 21.24 - Formula No. 20.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2014-04-01 2014-04-01 false Formula No. 20. 21.24 Section 21.24 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Completely Denatured Alcohol...

  7. Understanding State School Finance Formulas. National Education Association Search.

    ERIC Educational Resources Information Center

    National Education Association, Washington, DC. Research Div.

    The fourth report in a series on school finance describes how state school finance formulas are differentiated and the calculations used to measure local need, wealth, and effort. The following topics are addressed: (1) criteria for evaluating state school finance programs; (2) origins of state school aid formulas; (3) operation of equalization…

  8. 21 CFR 225.202 - Formula, production, and distribution records.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 21 Food and Drugs 4 2010-04-01 2010-04-01 false Formula, production, and distribution records. 225.202 Section 225.202 Food and Drugs FOOD AND DRUG ADMINISTRATION, DEPARTMENT OF HEALTH AND HUMAN SERVICES (CONTINUED) DRUGS: GENERAL CURRENT GOOD MANUFACTURING PRACTICE FOR MEDICATED FEEDS Records § 225.202 Formula, production, and...

  9. 27 CFR 21.33 - Formula No. 2-B.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2014-04-01 2014-04-01 false Formula No. 2-B. 21.33 Section 21.33 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits...

  10. 27 CFR 21.59 - Formula No. 32.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2014-04-01 2014-04-01 false Formula No. 32. 21.59 Section 21.59 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits...

  11. Finance Formula. Abstract II: Research & Resources on Special Education.

    ERIC Educational Resources Information Center

    ERIC Clearinghouse on Handicapped and Gifted Children, Reston, VA.

    This one-page abstract summarizes results of a final report of a federally funded project titled, "An Analysis of State Special Education Finance Formulas." Five major types of formulas were identified: flat grant, minimum foundation program, percentage equalizing, percentage matching, and full state funding of the excess cost of special…

  12. Origin of the Formulas of Dihydrogen and Other Simple Molecules

    ERIC Educational Resources Information Center

    Williams, Andrew

    2007-01-01

    The logic and experimental data are described with which chemists originally deduced the formulas of the fundamental compounds such as H[subscript 2], H[subscript 2]O, Cl[subscript 2], NH[subscript 3], CH[subscript 4], and HCl. This information is never provided in current texts at any level and the formulas of such simple compounds are taken as…

  13. 27 CFR 26.50 - Formulas for liquors.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... Rico who ship wine to the United States shall comply with the formula requirements of 27 CFR part 240... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formulas for liquors. 26.50 Section 26.50 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE...

  14. 27 CFR 26.220 - Formulas for liquors.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formulas for liquors. 26.220 Section 26.220 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS LIQUORS AND ARTICLES FROM PUERTO RICO AND THE VIRGIN ISLANDS Formulas for Products From the Virgin Islands §...

  15. State Funding Formulas for Public Four-Year Institutions.

    ERIC Educational Resources Information Center

    McKeown, Mary P.

    This article reviews the development of state funding formulas or guidelines for public higher education. Originally viewed as a means to distribute public funds in a rational and equitable manner, they now are complicated methodologies. Funding formulas are all-inclusive or itemized; most states use the itemized approach. There are three…

  16. 47 CFR 73.190 - Engineering charts and related formulas.

    Code of Federal Regulations, 2013 CFR

    2013-10-01

    ... 47 Telecommunication 4 2013-10-01 2013-10-01 false Engineering charts and related formulas. 73.190 Section 73.190 Telecommunication FEDERAL COMMUNICATIONS COMMISSION (CONTINUED) BROADCAST RADIO SERVICES RADIO BROADCAST SERVICES AM Broadcast Stations § 73.190 Engineering charts and related formulas....

  17. 47 CFR 73.190 - Engineering charts and related formulas.

    Code of Federal Regulations, 2014 CFR

    2014-10-01

    ... 47 Telecommunication 4 2014-10-01 2014-10-01 false Engineering charts and related formulas. 73.190 Section 73.190 Telecommunication FEDERAL COMMUNICATIONS COMMISSION (CONTINUED) BROADCAST RADIO SERVICES RADIO BROADCAST SERVICES AM Broadcast Stations § 73.190 Engineering charts and related formulas....

  18. 24 CFR 92.604 - ADDI allocation formula.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 24 Housing and Urban Development 1 2010-04-01 2010-04-01 false ADDI allocation formula. 92.604 Section 92.604 Housing and Urban Development Office of the Secretary, Department of Housing and Urban Development HOME INVESTMENT PARTNERSHIPS PROGRAM American Dream Downpayment Initiative § 92.604 ADDI allocation formula. (a) General. HUD will...

  19. Dynamics of the functions [Formula: see text] with the real parameter.

    PubMed

    Deng, Xiaocheng; Meng, Fanning; Lin, Jianming; Yuan, Wenjun

    2016-01-01

    In this paper, the dynamics of the functions [Formula: see text] with the real parameter is studied. We say that a real parameter [Formula: see text] belongs to the set [Formula: see text] for a positive integer n if [Formula: see text] has an attracting cycle of n-order. We prove that the Fatou set [Formula: see text] is a completely invariant attracting basin for every parameter [Formula: see text]. Further, regarding the set [Formula: see text] for [Formula: see text], we prove the following results: (1) There exists [Formula: see text] such that [Formula: see text]. (2) For every positive integer [Formula: see text], the set [Formula: see text] is non-empty. (3) For every prime number [Formula: see text], the set [Formula: see text] has at least two components. PMID:27386299

  20. Kubo formulas for dispersion in heterogeneous periodic nonequilibrium systems

    NASA Astrophysics Data System (ADS)

    Guérin, T.; Dean, D. S.

    2015-12-01

    We consider the dispersion properties of tracer particles moving in nonequilibrium heterogeneous periodic media. The tracer motion is described by a Fokker-Planck equation with arbitrary spatially periodic (but constant in time) local diffusion tensors and drifts, eventually with the presence of obstacles. We derive a Kubo-like formula for the time-dependent effective diffusion tensor valid in any dimension. From this general formula, we derive expressions for the late time effective diffusion tensor and drift in these systems. In addition, we find an explicit formula for the late finite-time corrections to these transport coefficients. In one dimension, we give a closed analytical formula for the transport coefficients. The formulas derived here are very general and provide a straightforward method to compute the dispersion properties in arbitrary nonequilibrium periodic advection-diffusion systems.

  1. Formulas for fixing serum sodium: curb your enthusiasm

    PubMed Central

    Sterns, Richard H.

    2016-01-01

    A variety of formulas have been proposed to predict changes in serum sodium concentration. All are based on an experiment done over 50 years ago by Edelman, who derived a formula relating the plasma sodium concentration to isotopically measured body sodium, potassium, and water. Some of these formulas fail because they do not include urinary losses of electrolytes and water. Even those that include these essential variables are not accurate enough for clinical use because it is impractical to adjust calculations to rapid changes in urinary composition, and because the formulas do not account for changes in serum sodium caused by internal exchanges between soluble and bound sodium stores or shifts of water into or out of cells resulting from changes in intracellular organic osmolytes. Nephrologists should curb their enthusiasm for predictive formulas and rely instead on frequent measurements of the serum sodium when correcting hyponatremia and hypernatremia. PMID:27478590

  2. Formulas for fixing serum sodium: curb your enthusiasm.

    PubMed

    Sterns, Richard H

    2016-08-01

    A variety of formulas have been proposed to predict changes in serum sodium concentration. All are based on an experiment done over 50 years ago by Edelman, who derived a formula relating the plasma sodium concentration to isotopically measured body sodium, potassium, and water. Some of these formulas fail because they do not include urinary losses of electrolytes and water. Even those that include these essential variables are not accurate enough for clinical use because it is impractical to adjust calculations to rapid changes in urinary composition, and because the formulas do not account for changes in serum sodium caused by internal exchanges between soluble and bound sodium stores or shifts of water into or out of cells resulting from changes in intracellular organic osmolytes. Nephrologists should curb their enthusiasm for predictive formulas and rely instead on frequent measurements of the serum sodium when correcting hyponatremia and hypernatremia. PMID:27478590

  3. On the construction of general cubature formula by flat extensions

    PubMed Central

    Bucero, Marta Abril; Bajaj, Chandrajit

    2016-01-01

    We describe a new method to compute general cubature formulae. The problem is initially transformed into the computation of truncated Hankel operators with flat extensions. We then analyze the algebraic properties associated to flat extensions and show how to recover the cubature points and weights from the truncated Hankel operator. We next present an algorithm to test the flat extension property and to additionally compute the decomposition. To generate cubature formulae with a minimal number of points, we propose a new relaxation hierarchy of convex optimization problems minimizing the nuclear norm of the Hankel operators. For a suitably high order of convex relaxation, the minimizer of the optimization problem corresponds to a cubature formula. Furthermore cubature formulae with a minimal number of points are associated to faces of the convex sets. We illustrate our method on some examples, and for each we obtain a new minimal cubature formula. PMID:27563154

  4. Kubo formulas for dispersion in heterogeneous periodic nonequilibrium systems.

    PubMed

    Guérin, T; Dean, D S

    2015-12-01

    We consider the dispersion properties of tracer particles moving in nonequilibrium heterogeneous periodic media. The tracer motion is described by a Fokker-Planck equation with arbitrary spatially periodic (but constant in time) local diffusion tensors and drifts, eventually with the presence of obstacles. We derive a Kubo-like formula for the time-dependent effective diffusion tensor valid in any dimension. From this general formula, we derive expressions for the late time effective diffusion tensor and drift in these systems. In addition, we find an explicit formula for the late finite-time corrections to these transport coefficients. In one dimension, we give a closed analytical formula for the transport coefficients. The formulas derived here are very general and provide a straightforward method to compute the dispersion properties in arbitrary nonequilibrium periodic advection-diffusion systems. PMID:26764628

  5. WIC's promotion of infant formula in the United States

    PubMed Central

    Kent, George

    2006-01-01

    Background The United States' Special Supplemental Nutrition Program for Women, Infants and Children (WIC) distributes about half the infant formula used in the United States at no cost to the families. This is a matter of concern because it is known that feeding with infant formula results in worse health outcomes for infants than breastfeeding. Discussion The evidence that is available indicates that the WIC program has the effect of promoting the use of infant formula, thus placing infants at higher risk. Moreover, the program violates the widely accepted principles that have been set out in the International Code of Marketing of Breast-milk Substitutes and in the human right to adequate food. Summary There is no good reason for an agency of government to distribute large quantities of free infant formula. It is recommended that the large-scale distribution of free infant formula by the WIC program should be phased out. PMID:16722534

  6. Growth and development during the first year of life of infants fed breast-milk, milk formula or soy formula

    Technology Transfer Automated Retrieval System (TEKTRAN)

    The adequacy of soy infant formulas to support growth and development is still under debate. The concerns center on the phytochemicals such as isoflavones which are associated with the soy proteins, the sole source of protein in soy infant formulas. To assess growth and development of infants fed br...

  7. Ultrasonographic patterns of reproductive organs in infants fed soy formula: Comparisons to infants fed breast milk and milk formula

    Technology Transfer Automated Retrieval System (TEKTRAN)

    Our objective was to determine if differences exist in hormone sensitive organ size between infants fed soy formula (SF), milk formula (MF), or breast milk (BF). Breast buds, uterus, ovaries, prostate, and testicular volumes were assessed by ultrasonography in 40 BF, 41 MF, and 39 SF infants at age ...

  8. Fundamental formulae for wave-energy conversion

    PubMed Central

    Falnes, Johannes; Kurniawan, Adi

    2015-01-01

    The time-average wave power that is absorbed from an incident wave by means of a wave-energy conversion (WEC) unit, or by an array of WEC units—i.e. oscillating immersed bodies and/or oscillating water columns (OWCs)—may be mathematically expressed in terms of the WEC units' complex oscillation amplitudes, or in terms of the generated outgoing (diffracted plus radiated) waves, or alternatively, in terms of the radiated waves alone. Following recent controversy, the corresponding three optional expressions are derived, compared and discussed in this paper. They all provide the correct time-average absorbed power. However, only the first-mentioned expression is applicable to quantify the instantaneous absorbed wave power and the associated reactive power. In this connection, new formulae are derived that relate the ‘added-mass’ matrix, as well as a couple of additional reactive radiation-parameter matrices, to the difference between kinetic energy and potential energy in the water surrounding the immersed oscillating WEC array. Further, a complex collective oscillation amplitude is introduced, which makes it possible to derive, by a very simple algebraic method, various simple expressions for the maximum time-average wave power that may be absorbed by the WEC array. The real-valued time-average absorbed power is illustrated as an axisymmetric paraboloid defined on the complex collective-amplitude plane. This is a simple illustration of the so-called ‘fundamental theorem for wave power’. Finally, the paper also presents a new derivation that extends a recently published result on the direction-average maximum absorbed wave power to cases where the WEC array's radiation damping matrix may be singular and where the WEC array may contain OWCs in addition to oscillating bodies. PMID:26064612

  9. Derivation of Stokes' Law from Kirkwood's Formula and the Green-Kubo Formula via Large Deviation Theory

    NASA Astrophysics Data System (ADS)

    Itami, Masato; Sasa, Shin-ichi

    2015-11-01

    We study the friction coefficient of a macroscopic sphere in a viscous fluid at low Reynolds number. First, Kirkwood's formula for the friction coefficient is reviewed on the basis of the Hamiltonian description of particle systems. According to this formula, the friction coefficient is expressed in terms of the stress correlation on the surface of the macroscopic sphere. Then, with the aid of large deviation theory, we relate the surface stress correlation to the stress correlation in the bulk of the fluid, where the latter is characterized by the viscosity in the Green-Kubo formula. By combining Kirkwood's formula and the Green-Kubo formula in large deviation theory, we derive Stokes' law without explicitly employing the hydrodynamic equations.

  10. Enterobacter pulveris sp. nov., isolated from fruit powder, infant formula and an infant formula production environment.

    PubMed

    Stephan, Roger; Van Trappen, Stefanie; Cleenwerck, Ilse; Iversen, Carol; Joosten, Han; De Vos, Paul; Lehner, Angelika

    2008-01-01

    Six Gram-negative, facultatively anaerobic, non-spore-forming, coccoid rod-shaped isolates were obtained from fruit powder (n=3), infant formula (n=2) and an infant formula production environment (n=1) and investigated in a polyphasic taxonomic study. Comparative 16S rRNA gene sequence analysis combined with rpoB gene sequence analysis allocated the isolates to the family Enterobacteriaceae. The highest rpoB gene sequence similarities (91.2-95.8%) were obtained with Enterobacter helveticus, Enterobacter radicincitans, Enterobacter turicensis and Enterobacter sakazakii and the phylogenetic branch formed by these species was supported by a high bootstrap value. Biochemical data revealed that the isolates could be differentiated from their nearest neighbours by their ability to utilize melibiose, sucrose, D-arabitol, mucate and 1-O-methyl-alpha-galactopyranoside and their negative reactions for D-sorbitol utilization and the Voges-Proskauer test. On the basis of the phylogenetic analyses, DNA-DNA hybridization data, and unique physiological and biochemical characteristics, it is proposed that the isolates represent a novel species of the genus Enterobacter, Enterobacter pulveris sp. nov. The type strain is 601/05(T) (=LMG 24057(T)=DSM 19144(T)). PMID:18175715

  11. Physicians, formula companies, and advertising. A historical perspective.

    PubMed

    Greer, F R; Apple, R D

    1991-03-01

    The recent advent of new advertising campaigns for infant formulas aimed at the general public via television commercials, newspapers, free formula coupons, and lay periodicals has disrupted a comfortable symbiotic relationship between infant food manufacturers and the medical profession that has endured for more than 50 years. In the late 19th century, physicians were concerned about the advertising claims of these products and generally felt that indications and directions for their use should be the province of the physician. Between 1929 and 1932, the American Medical Association, through its Committee on Foods and "Seal of Acceptance," essentially required the entire formula industry to advertise only to the medical profession. Since 1932, the US formula industry has developed into a $1.6 billion market. In 1988, Nestlé (absent from the US infant formula industry since the 1940s) acquired the Carnation Company and launched an advertising campaign to the general public for its formula products. Bristol Myers/Mead Johnson, in cooperation with Gerber Products Company, quickly followed suit. These actions threaten to once again remove the realm of infant feeding from the exclusive supervision of the medical profession. The new multimedia public advertising campaigns may increase the cost of infant formula to the general public and have a negative impact on the incidence of breast-feeding. In addition, formula advertising campaigns will likely increase the danger of advertising hyperbole and affect the level of financial support by formula companies for scientific meetings, medical research, education, and social events at medical meetings. PMID:1781817

  12. 27 CFR 20.113 - Proprietary solvents general-use formula.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... general-use formula. 20.113 Section 20.113 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX... Formulas and Statements of Process General-Use Formulas § 20.113 Proprietary solvents general-use formula.... Formula No. 1 or 3-A containing, for every 100 parts (by volume) of alcohol: (1) No less than 1 part...

  13. 27 CFR 20.113 - Proprietary solvents general-use formula.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... general-use formula. 20.113 Section 20.113 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX... Formulas and Statements of Process General-Use Formulas § 20.113 Proprietary solvents general-use formula.... Formula No. 1 or 3-A containing, for every 100 parts (by volume) of alcohol: (1) No less than 1 part...

  14. 27 CFR 20.113 - Proprietary solvents general-use formula.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... general-use formula. 20.113 Section 20.113 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX... Formulas and Statements of Process General-Use Formulas § 20.113 Proprietary solvents general-use formula.... Formula No. 1 or 3-A containing, for every 100 parts (by volume) of alcohol: (1) No less than 1 part...

  15. 27 CFR 20.113 - Proprietary solvents general-use formula.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... general-use formula. 20.113 Section 20.113 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX... Formulas and Statements of Process General-Use Formulas § 20.113 Proprietary solvents general-use formula.... Formula No. 1 or 3-A containing, for every 100 parts (by volume) of alcohol: (1) No less than 1 part...

  16. 27 CFR 20.113 - Proprietary solvents general-use formula.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... general-use formula. 20.113 Section 20.113 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX... Formulas and Statements of Process General-Use Formulas § 20.113 Proprietary solvents general-use formula.... Formula No. 1 or 3-A containing, for every 100 parts (by volume) of alcohol: (1) No less than 1 part...

  17. 21 CFR 107.230 - Elements of an infant formula recall.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... 21 Food and Drugs 2 2014-04-01 2014-04-01 false Elements of an infant formula recall. 107.230... (CONTINUED) FOOD FOR HUMAN CONSUMPTION INFANT FORMULA Infant Formula Recalls § 107.230 Elements of an infant formula recall. A recalling firm shall conduct an infant formula recall with the following elements:...

  18. 21 CFR 107.230 - Elements of an infant formula recall.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... 21 Food and Drugs 2 2012-04-01 2012-04-01 false Elements of an infant formula recall. 107.230... (CONTINUED) FOOD FOR HUMAN CONSUMPTION INFANT FORMULA Infant Formula Recalls § 107.230 Elements of an infant formula recall. A recalling firm shall conduct an infant formula recall with the following elements:...

  19. 21 CFR 107.230 - Elements of an infant formula recall.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 21 Food and Drugs 2 2011-04-01 2011-04-01 false Elements of an infant formula recall. 107.230... (CONTINUED) FOOD FOR HUMAN CONSUMPTION INFANT FORMULA Infant Formula Recalls § 107.230 Elements of an infant formula recall. A recalling firm shall conduct an infant formula recall with the following elements:...

  20. 21 CFR 107.230 - Elements of an infant formula recall.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 21 Food and Drugs 2 2013-04-01 2013-04-01 false Elements of an infant formula recall. 107.230... (CONTINUED) FOOD FOR HUMAN CONSUMPTION INFANT FORMULA Infant Formula Recalls § 107.230 Elements of an infant formula recall. A recalling firm shall conduct an infant formula recall with the following elements:...

  1. 21 CFR 107.230 - Elements of an infant formula recall.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 21 Food and Drugs 2 2010-04-01 2010-04-01 false Elements of an infant formula recall. 107.230... (CONTINUED) FOOD FOR HUMAN CONSUMPTION INFANT FORMULA Infant Formula Recalls § 107.230 Elements of an infant formula recall. A recalling firm shall conduct an infant formula recall with the following elements:...

  2. Improving accessibility to mathematical formulas: the Wikipedia Math Accessor

    NASA Astrophysics Data System (ADS)

    Fuentes Sepúlveda, J.; Ferres, L.

    2012-09-01

    Mathematics accessibility is an important topic for inclusive education. In this paper, we make Wikipedia's repository of mathematical formulas accessible by providing a natural language description of its more than 420,000 formulas using a well-researched sub-language. We also contribute by targeting Spanish speakers, for whom assistive technologies, particularly domain-specific technologies like the one described here, are scarce. Our focus on the semantics of formulas (rather than their visual appearance) allowed us to generate verbalizations with a precision of approximately 80% of understandable descriptions, as shown in an evaluation with sighted users.

  3. Correction to Molière's formula for multiple scattering

    NASA Astrophysics Data System (ADS)

    Lee, R. N.; Milstein, A. I.

    2009-06-01

    The semiclassical correction to Molière’s formula for multiple scattering is derived. The consideration is based on the scattering amplitude obtained with the first semiclassical correction taken into account for an arbitrary localized but not spherically symmetric potential. Unlike the leading term, the correction to Molière’s formula contains the target density n and thickness L not only in the combination nL (areal density). Therefore, this correction can be referred to as the bulk density correction. It turns out that the bulk density correction is small even for high density. This result explains the wide range of applicability of Molière’s formula.

  4. Eling-Oz formula for the holographic bulk viscosity

    NASA Astrophysics Data System (ADS)

    Buchel, Alex

    2011-05-01

    Recently Eling and Oz [1] proposed a simple formula for the bulk viscosity of holographic plasma. They argued that the formula is valid in the high temperature (near-conformal) regime, but is expected to break down at low temperatures. We point out that the formula is in perfect agreement with the previous computations of the bulk viscosity of the cascading plasma [2, 3], as well as with the previous computations of the bulk viscosity of {N} = {2^*} plasma [4, 5]. In the latter case it correctly reproduces the critical behaviour of the bulk viscosity in the vicinity of the critical point with the vanishing speed of sound.

  5. Quantum mechanical derivation of the Wallis formula for π

    SciTech Connect

    Friedmann, Tamar; Hagen, C. R.

    2015-11-15

    A famous pre-Newtonian formula for π is obtained directly from the variational approach to the spectrum of the hydrogen atom in spaces of arbitrary dimensions greater than one, including the physical three dimensions.

  6. An analytic formula for heating due to ozone absorption

    NASA Technical Reports Server (NTRS)

    Lindzen, R. S.; Will, D. I.

    1972-01-01

    An attempt was made to devise a simple expression or formula to describe radiative heating in the atmosphere by ozone absorption. Such absorption occurs in the Hartley, Huggins, and Chappuis bands and is only slightly temperature and pressure dependent.

  7. A Prebiotic Formula Improves the Gastrointestinal Bacterial Flora in Toddlers

    PubMed Central

    Chen, Ya-Ling; Liao, Fang-Hsuean

    2016-01-01

    We aimed to investigate the effect of enriched 3-prebiotic formula (including inulin, fructooligosaccharides, and galactooligosaccharides) on toddler gut health by measuring fecal microbiota. Our results revealed that the consumption of 3-prebiotic formula three times per day giving total intake of 1.8 g prebiotic ingredients significantly showed the increased number of probiotic Bifidobacterium spp. colonies and the reduced populations of both C. perfringens and total anaerobic bacteria on the fecal bacterial flora in toddlers at 18~36 months. In addition, total organic acids in the fecal samples significantly increased which improves the utilization of bifidus under acidic conditions after consumption of the 3-prebiotic formula. Therefore, using the formula enriched with prebiotic may maintain gut health in toddlers. PMID:27403155

  8. 27 CFR 21.60 - Formula No. 33.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... including meat branding inks). 210.External pharmaceuticals, not U.S.P. or N.F. 249.Miscellaneous external...). (c) Conditions governing use. Meat branding inks made with Formula No. 33 do not meet U.S....

  9. Edge diffraction, trace formulae and the cardioid billiard

    NASA Astrophysics Data System (ADS)

    Bruus, Henrik; Whelan, Niall D.

    1996-07-01

    We study the effect of edge diffraction on the semiclassical analysis of two-dimensional quantum systems by deriving a trace formula which incorporates paths hitting any number of vertices embedded in an arbitrary potential. This formula is used to study the cardioid billiard, which has a single vertex. The formula works well for most of the short orbits we analysed but fails for a few diffractive orbits due to a breakdown in the formalism for certain geometries. We extend the symbolic dynamics to account for diffractive orbits and use it to show that in the presence of parity symmetry the trace formula decomposes in an elegant manner such that for the cardioid billiard the diffractive orbits have no effect on the odd spectrum. Including diffractive orbits helps resolve peaks in the density of even states but does not appear to affect their positions. An analysis of the level statistics shows no significant difference between spectra with and without diffraction.

  10. On Ruby's solid angle formula and some of its generalizations

    NASA Astrophysics Data System (ADS)

    Friot, Samuel

    2015-02-01

    Using the Mellin-Barnes representation, we show that Ruby's solid angle formula and some of its generalizations may be expressed in a compact way in terms of the Appell F4 and Lauricella FC functions.

  11. A note on the loop formula for the fermionic determinant

    NASA Astrophysics Data System (ADS)

    Seiler, Erhard; Stamatescu, Ion-Olimpiu

    2016-08-01

    A formula expressing the fermionic determinant as an infinite product of smaller determinants is derived and discussed. These smaller determinants are of a fixed size, independent of the size of the lattice and are indexed by loops of increasing length.

  12. The Elusive Universal Post-Mortem Interval Formula

    SciTech Connect

    Vass, Arpad Alexander

    2011-01-01

    The following manuscript details our initial attempt at developing universal post-mortem interval formulas describing human decomposition. These formulas are empirically derived from data collected over the last 20 years from the University of Tennessee's Anthropology Research Facility, in Knoxville, Tennessee, USA. Two formulas were developed (surface decomposition and burial decomposition) based on temperature, moisture, and the partial pressure of oxygen, as being three of the four primary drivers for human decomposition. It is hoped that worldwide application of these formulas to environments and situations not readily studied in Tennessee will result in interdisciplinary cooperation between scientists and law enforcement personnel that will allow for future refinements of these models leading to increased accuracy.

  13. Percentage Composition and Empirical Formula--A New View.

    ERIC Educational Resources Information Center

    Gilbert, George L.

    1998-01-01

    Demonstrates the logical relationship between percentage composition and an empirical formula using a technique that depends on determining a minimum molar mass for the compound based on the mass percent of each element. (DDR)

  14. Readability Formulas as Applied to College Economics Textbooks.

    ERIC Educational Resources Information Center

    McConnell, Campbell R.

    1982-01-01

    Determines from empirical information on the application of four readability formulas to a group of widely used college economics textbooks that there is no consistency in the absolute reading levels or the rank orderings of these books. (AEA)

  15. Universal calculation formula and calibration method in Fourier transform profilometry

    SciTech Connect

    Wen Yongfu; Li Sikun; Cheng Haobo; Su Xianyu; Zhang Qican

    2010-12-01

    We propose a universal calculation formula of Fourier transform profilometry and give a strict theoretical analysis about the phase-height mapping relation. As the request on the experimental setup of the universal calculation formula is unconfined, the projector and the camera can be located arbitrarily to get better fringe information, which makes the operation flexible. The phase-height calibration method under the universal condition is proposed, which can avoid measuring the system parameters directly. It makes the system easy to manipulate and improves the measurement velocity. A computer simulation and experiment are conducted to verify its validity. The calculation formula and calibration method have been applied to measure an object of 22.00 mm maximal height. The relative error of the measurement result is only 0.59%. The experimental results prove that the three-dimensional shape of tested objects can be reconstructed exactly by using the calculation formula and calibration method, and the system has better universality.

  16. 27 CFR 24.303 - Formula wine record.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... the formula number, quantities of spirits and herbs used, and the amount produced; (g) The quantity of... record of the receipt and use or other disposition of all herbs, aromatics, essences, extracts, or...

  17. 27 CFR 24.303 - Formula wine record.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... the formula number, quantities of spirits and herbs used, and the amount produced; (g) The quantity of... record of the receipt and use or other disposition of all herbs, aromatics, essences, extracts, or...

  18. 27 CFR 24.303 - Formula wine record.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... the formula number, quantities of spirits and herbs used, and the amount produced; (g) The quantity of... record of the receipt and use or other disposition of all herbs, aromatics, essences, extracts, or...

  19. 27 CFR 24.303 - Formula wine record.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... the formula number, quantities of spirits and herbs used, and the amount produced; (g) The quantity of... record of the receipt and use or other disposition of all herbs, aromatics, essences, extracts, or...

  20. Asymptotic formula for eigenvalues of one dimensional Dirac system

    NASA Astrophysics Data System (ADS)

    Ulusoy, Ismail; Penahlı, Etibar

    2016-06-01

    In this paper, we study the spectral problem for one dimensional Dirac system with Dirichlet boundary conditions. By using Counting lemma, we give an asymptotic formulas of eigenvalues of Dirac system.

  1. Data Sharing of Mechanical Design Formulas Using Semantic Web Technology

    NASA Astrophysics Data System (ADS)

    Zhou, Jun; Watanuki, Keiichi

    Speed and efficiency are necessary in the field of mechanical design. CAD/CAM/CAE technologies have advanced and attention has also been paid to increasing the efficiency of data sharing and agent processes in the web environment. In this paper, Semantic Web technology is used to enable the sharing of metadata. The metadata consists of design documents and design formulas, with additional semantic information inserted. Mathematical information is expressed by adding metadata into conventional mechanical design formulas using a Resource Description Framework (RDF). The design formulas are later written in MathML (Mathematical Markup Language) for the sake of data sharing. In this way, data sharing and advanced searching is made easy, because the relevant information is made machine readable in the web environment. The calculation of design formulas is made possible using a mathematical processing system, thus increasing the efficiency of mechanical design.

  2. An improved bootstrap current formula for edge pedestal plasma

    NASA Astrophysics Data System (ADS)

    Hager, Robert; Chang, C.-S.

    2014-10-01

    An improved version of a bootstrap current formula based on the results of the neoclassical guiding-center particle-in-cell code XGC0 is presented. The original formula improved the accuracy of the predicted bootstrap current in the edge pedestal, where the ion orbit width can be comparable to the pressure gradient scale length, the passing particle region is narrow, and the ions experience orbit loss. We improved two aspects of this formula. We corrected the asymptotic behavior of the bootstrap current coefficients at higher collisionality from what was inherited from the Sauter formula. We also improved the jumpy aspect-ratio dependence of the transition between an enhanced (NSTX) and reduced (DIII-D) bootstrap current regime found by Koh et al. In addition, we elucidate the physical origins of the improvement and of the difference from a local analysis that includes the importance of finite ion orbit excursion effects on the electron current in the edge pedestal.

  3. Thermal inactivation of Enterobacter sakazakii in rehydrated infant formula.

    PubMed

    Edelson-Mammel, Sharon G; Buchanan, Robert L

    2004-01-01

    The presence of low levels of Enterobacter sakazakii in dried infant formula have been linked to outbreaks of meningitis, septicemia, and necrotizing enterocolitis in neonates, particularly those who are premature or immunocompromised. In the current study, the ability of 12 strains of E. sakazakii to survive heating in rehydrated infant formula was determined at 58 degrees C with a submerged coil apparatus. The observed D58-values ranged from 30.5 to 591.9 s, with the strains appearing to fall into two distinct heat resistance phenotypes. The z-value of the most heat-resistant strain was 5.6 degrees C. When dried infant formula containing this strain was rehydrated with water preequilibrated to various temperatures, a more than 4-log reduction in E. sakazakii levels was achieved by preparing the formula with water at 70 degrees C or greater. PMID:14717352

  4. An Empirical Formula From Ion Exchange Chromatography and Colorimetry.

    ERIC Educational Resources Information Center

    Johnson, Steven D.

    1996-01-01

    Presents a detailed procedure for finding an empirical formula from ion exchange chromatography and colorimetry. Introduces students to more varied techniques including volumetric manipulation, titration, ion-exchange, preparation of a calibration curve, and the use of colorimetry. (JRH)

  5. The interactional significance of formulas in autistic language.

    PubMed

    Dobbinson, Sushie; Perkins, Mick; Boucher, Jill

    2003-01-01

    The phenomenon of echolalia in autistic language is well documented. Whilst much early research dismissed echolalia as merely an indicator of cognitive limitation, later work identified particular discourse functions of echolalic utterances. The work reported here extends the study of the interactional significance of echolalia to formulaic utterances. Audio and video recordings of conversations between the first author and two research participants were transcribed and analysed according to a Conversation Analysis framework and a multi-layered linguistic framework. Formulaic language was found to have predictable interactional significance within the language of an individual with autism, and the generic phenomenon of formulaicity in company with predictable discourse function was seen to hold across the research participants, regardless of cognitive ability. The implications of formulaicity in autistic language for acquisition and processing mechanisms are discussed. PMID:12945605

  6. Multidimensional Extension of the Generalized Chowla-Selberg Formula

    NASA Astrophysics Data System (ADS)

    Elizalde, E.

    After recalling the precise existence conditions of the zeta function of a pseudodifferential operator, and the concept of reflection formula, an exponentially convergent expression for the analytic continuation of a multidimensional inhomogeneous Epstein-type zeta function of the general form<FORMULA FORM="DISPLAY" DISC="MATH"> with A the p×p$ matrix of a quadratic form, a p vector and q a constant, is obtained. It is valid on the whole complex s-plane, is exponentially convergent and provides the residua at the poles explicitly. It reduces to the famous formula of Chowla and Selberg in the particular case p=2, , q=0. Some variations of the formula and physical applications are considered.

  7. Nuclear binding energy using semi empirical mass formula

    NASA Astrophysics Data System (ADS)

    Ankita, Suthar, B.

    2016-05-01

    In the present communication, semi empirical mass formula using the liquid drop model has been presented. Nuclear binding energies are calculated using semi empirical mass formula with various constants given by different researchers. We also compare these calculated values with experimental data and comparative study for finding suitable constants is added using the error plot. The study is extended to find the more suitable constant to reduce the error.

  8. q-Extension of the Euler formula and trigonometric functions

    NASA Astrophysics Data System (ADS)

    Kim, T.

    2007-09-01

    In this paper, we introduce a Daehee constant, the so-called q-extension of the Napier constant, and consider the Daehee formula associated with the q-extensions of trigonometric functions. That is, we derive the q-extensions of sine and cosine functions from our Daehee formula. Finally, we present the q-calculus related to the q-extensions of sine and cosine functions.

  9. Smarr formula for Lovelock black holes: A Lagrangian approach

    NASA Astrophysics Data System (ADS)

    Liberati, Stefano; Pacilio, Costantino

    2016-04-01

    The mass formula for black holes can be formally expressed in terms of a Noether charge surface integral plus a suitable volume integral, for any gravitational theory. The integrals can be constructed as an application of Wald's formalism. We apply this formalism to compute the mass and the Smarr formula for static Lovelock black holes. Finally, we propose a new prescription for Wald's entropy in the case of Lovelock black holes, which takes into account topological contributions to the entropy functional.

  10. Microscopic formula for transport coefficients of causal hydrodynamics.

    PubMed

    Koide, T

    2007-06-01

    The Green-Kubo-Nakano formula should be modified in relativistic hydrodynamics because of the problem of acausality and the breaking of sum rules. In this Rapid Communication, we propose a formula to calculate the transport coefficients of causal hydrodynamics based on the projection operator method. As concrete examples, we derive the expressions for the diffusion coefficient, the shear viscosity coefficient, and corresponding relaxation times. PMID:17677204

  11. 78 FR 3411 - Agency Information Collection Activities; Comment Request; Formula Grant for the Electronic...

    Federal Register 2010, 2011, 2012, 2013, 2014

    2013-01-16

    ... Agency Information Collection Activities; Comment Request; Formula Grant for the Electronic Application... of Collection: Formula Grant for the Electronic Application System for Indian Education (EASIE). OMB... the Department of Education (ED) requests clearance for the Indian Education Formula Grant...

  12. 27 CFR 26.221 - Formulas for articles, eligible articles and products manufactured with denatured spirits.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... shall be submitted in accordance with § 26.224. Any formula for an eligible article approved on Form.... Any person holding such a formula is not required to submit a new formula. (Approved by the Office...

  13. 27 CFR 26.221 - Formulas for articles, eligible articles and products manufactured with denatured spirits.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... shall be submitted in accordance with § 26.224. Any formula for an eligible article approved on Form.... Any person holding such a formula is not required to submit a new formula. (Approved by the Office...

  14. 27 CFR 26.51 - Formulas for articles, eligible articles and products manufactured with denatured spirits.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... submitted in accordance with § 26.54. Any formula for an eligible article approved on Form 5150.19 prior to... such a formula is not required to submit a new formula. (Approved by the Office of Management...

  15. 27 CFR 26.51 - Formulas for articles, eligible articles and products manufactured with denatured spirits.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... submitted in accordance with § 26.54. Any formula for an eligible article approved on Form 5150.19 prior to... such a formula is not required to submit a new formula. (Approved by the Office of Management...

  16. 27 CFR 26.51 - Formulas for articles, eligible articles and products manufactured with denatured spirits.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... submitted in accordance with § 26.54. Any formula for an eligible article approved on Form 5150.19 prior to... such a formula is not required to submit a new formula. (Approved by the Office of Management...

  17. 27 CFR 26.221 - Formulas for articles, eligible articles and products manufactured with denatured spirits.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... shall be submitted in accordance with § 26.224. Any formula for an eligible article approved on Form.... Any person holding such a formula is not required to submit a new formula. (Approved by the Office...

  18. The Kirchhoff Formula for a Supersonically Moving Surface

    NASA Technical Reports Server (NTRS)

    Farassat, F.; Myers, M. K.

    1996-01-01

    The Kirchhoff formula for radiation from stationary surfaces first appeared in 1882, and it has since found many applications in wave propagation theory. In 1930, Morgans extended the formula to apply to surfaces moving at speeds below the wave propagation speed; we refer to Morgans formula as the subsonic formulation. A modern derivation of Morgans result was published by Farassat and Myers in 1988, and it has now been used extensively in acoustics, particularly for high speed helicopter rotor noise prediction. Under some common conditions in this application, however, the appropriate Kirchhoff surface must be chosen such that portions of it travel at supersonic speed. The available Kirchhoff formula for moving surfaces is not suitable for this situation. In the current paper we derive the Kirchhoff formula applicable to a supersonically moving surface using some results from generalized function theory. The new formula requires knowledge of the same surface data as in the subsonic case. Complications that arise from apparent singularities in the new formulation are discussed briefly in the paper.

  19. Extension of Kirchhoff's formula to radiation from moving surfaces

    NASA Technical Reports Server (NTRS)

    Farassat, F.; Myers, M. K.

    1988-01-01

    Kirchhoff's formula for radiation from a closed surface has been used recently for prediction of the noise of high speed rotors and propellers. Because the closed surface on which the boundary data are prescribed in these cases is in motion, an extension of Kirchhoff's formula to this condition is required. In this paper such a formula, obtained originally by Morgans for the interior problem, is derived for regions exterior to surfaces moving at speeds below the wave propagation speed by making use of some results of generalized function theory. It is shown that the usual Kirchhoff formula is a special case of the main result of the paper. The general result applies to a deformable surface. However, the special form it assumes for a rigid surface in motion is also noted. In addition, Morgans' result is further extended by showing that edge line integrals appear in the formula when applied to a surface that is piecewise smooth. Some possible areas of application of the formula to problems of current interest in aeroacoustics are discussed.

  20. Extension of Kirchhoff's formula to radiation from moving surfaces

    NASA Technical Reports Server (NTRS)

    Farassat, F.; Myers, M. K.

    1987-01-01

    Kirchhoff's formula for radiation from a closed surface has been used recently for prediction of the noise of high speed rotors and propellers. Because the closed surface on which the boundary data are prescribed in these cases is in motion, an extension of Kirchhoff's formula to this condition is required. In this paper such a formula, obtained originally by Morgans for the interior problem, is derived for regions exterior to surfaces moving at speeds below the wave propagation speed by making use of some results of generalized function theory. It is shown that the usual Kirchhoff formula is a special case of the main result of the paper. The general result applies to a deformable surface. However, the special form it assumes for a rigid surface in motion is also noted. In addition, Morgans' result is further extended by showing that edge line integrals appear in the formula when applied to a surface that is piecewise smooth. Some possible areas of application of the formula to problems of current interest in aeroacoustics are discussed.

  1. A Module Analysis Approach to Investigate Molecular Mechanism of TCM Formula: A Trial on Shu-feng-jie-du Formula

    PubMed Central

    Zhang, Fangbo; Tang, Shihuan; Liu, Xi; Gao, Yibo; Wang, Yanping

    2013-01-01

    At the molecular level, it is acknowledged that a TCM formula is often a complex system, which challenges researchers to fully understand its underlying pharmacological action. However, module detection technique developed from complex network provides new insight into systematic investigation of the mode of action of a TCM formula from the molecule perspective. We here proposed a computational approach integrating the module detection technique into a 2-class heterogeneous network (2-HN) which models the complex pharmacological system of a TCM formula. This approach takes three steps: construction of a 2-HN, identification of primary pharmacological units, and pathway analysis. We employed this approach to study Shu-feng-jie-du (SHU) formula, which aimed at discovering its molecular mechanism in defending against influenza infection. Actually, four primary pharmacological units were identified from the 2-HN for SHU formula and further analysis revealed numbers of biological pathways modulated by the four pharmacological units. 24 out of 40 enriched pathways that were ranked in top 10 corresponding to each of the four pharmacological units were found to be involved in the process of influenza infection. Therefore, this approach is capable of uncovering the mode of action underlying a TCM formula via module analysis. PMID:24376467

  2. Human breast milk provides better antioxidant capacity than infant formula.

    PubMed

    Oveisi, Mohammad Reza; Sadeghi, Naficeh; Jannat, Behrooz; Hajimahmoodi, Mannan; Behfar, Abd-Ol-Azim; Jannat, Forouzandeh; Mokhtarinasab, Fariba

    2010-01-01

    Human milk contains all of the constituents that are required for the optimal growth and development of a neonate. It supports the development of brain, immune, and physiological systems. This study aimed to consider the significance of breast milk in preventing oxidative stress by comparing total antioxidant capacity (TAC) in breast and formula milk for premature infants, demonstrating the relationship between TAC in breast milk and postnatal age in days. The Ferric reducing antioxidant power assay (FRAP) method was used to spectophotometrically measure of TAC in breast and formula milk. One hundred and fourty (n = 140) lactating mothers agreed to participate in the study. TAC was also measured in two brands of formula milk (n = 80). The Range of TAC in human breast milk was 234.27-1442.31 μM and in two formula was 160.04-630.92 μM. The average TAC was significantly higher in breast milk (642.94 ± 241.23 μM) compared to formula milk (280.986 ± 100.34 μM) p < 0.0001. The TAC of breast milk was increased with some nutritional parameter such as increased consumption of cheese, vegetables, fruits, bread and nuts. Infants' height at the birthday was directly correlated with antioxidant capacity of breast milk, whilst a reversed correlation was observed between TAC in breast milk and infant age. Based on our results, it is concluded that the TAC of breast milk is varied and affected by nutrition. It is alo observed that TAC is significantly higher in breast milk than formula, which means that breast milk provides better antioxidant potency than infant formula. PMID:24381611

  3. Probability plotting position formulas for flood records with historical information

    USGS Publications Warehouse

    Hirsch, R.M.

    1987-01-01

    For purposes of evaluating fitted flood frequency distributions or for purposes of estimating distributions directly from plots of flood peaks versus exceedance probabilities (either by subjective or objective techniques), one needs a probability plotting position formula which can be applied to all of the flood data available: both systematic and historic floods. Some of the formulas in use are simply extensions of existing formulas (such as Hazen and Weibull) used on systematic flood records. New plotting position formulas proposed by Hirsch and Stedinger (1986) and in this paper are based on a recognition that the flood data arises from partially censored sampling of the flood record. The theoretical appropriateness, bias in probability and bias in discharge of the various plotting position formulas are considered. The methods are compared in terms of their effects on flood frequency estimation when an objective curve-fitting method of estimation is employed. Consideration is also given to the correct interpretation of the historical record length and the effect of incorrectly assuming that record length equals the time since the first known historical flood. This assumption is employed in many flood frequency studies and may result in a substantial bias in estimated design flood magnitudes. ?? 1987.

  4. Arsenic concentration and speciation in infant formulas and first foods

    PubMed Central

    Jackson, Brian P.; Taylor, Vivien F.; Punshon, Tracy; Cottingham, Kathryn L.

    2012-01-01

    Arsenic exposure to humans is pervasive, and, increasingly, studies are revealing adverse health effects at ever lower doses. Drinking water is the main route of exposure for many individuals; however, food can be a significant source of arsenic to an individual, especially if their diet is rice-based. Infants are particularly susceptible to dietary exposure, since many first foods contain rice and they have a low body mass. Here we report on arsenic concentration and speciation in infant formulas and first foods. Speciation is essential for food analysis because of the much greater toxicity of inorganic arsenic species and the possibility that arsenic in food (unlike water) may be present in either inorganic or organic forms. Infant milk formulas were low in total arsenic (2.2–12.6 ng g−1, n=15). Non-dairy formulas were significantly higher in arsenic than dairy-based formulas. Arsenic in formula was almost exclusively inorganic and predominantly arsenic(V). Arsenic concentration in purees (n=41) and stage 3 foods (n=18) ranged from 0.3–22 ng g−1. Rice-fortified foods had significantly higher total arsenic concentrations than non rice-based foods. Again arsenic speciation was predominantly inorganic; arsenic(III) was the main species with lower concentrations of DMA and arsenic(V) also present. These data confirm that infants are exposed to arsenic via diet, and suggest that careful attention to diet choices may limit this. PMID:22701232

  5. [Symptoms of Cancer Patients and Kampo Formulas Effective for Them].

    PubMed

    Inoue, Miki; Hoshino, Etsuo

    2015-12-01

    Patients with cancer exhibit various symptoms induced by cancer itself and its therapy leadingto fatigue; however, their vital energy can be restored by administration of Kampo, which is a traditional Japanese herbal medicine. Restoration and maintenance of mental and physical energy are important for successful cancer treatment. For this purpose, appropriate use of Kampo formulas, such as"Ho-zai", formulas to vitalize fatigued patients (eg, Hochu-ekki-to, Juzen-taiho-to, Ninjin-yoeito), "Hojin-zai", formulas to restore energy (eg, Gosha-jinki-gan), and"Kuoketsu-zai ", formulas to resolve stagnant blood flow (eg, Keishi-bukuryo-gan, Tokaku-joki-to, Toki-shakuyaku-san) are administered in combination. Consequently, basic autonomic functions, such as appetite, sleep, defecation, and urination normalize and the nutritional and mental conditions are restored. These favorable changes in the patients' condition allow completion of the standard cancer therapy course, resultingin an improved outcome of cancer therapy and successful treatment. Kampo therapy can be administered as the final treatment option for patients with last-stage cancer who do not have any other effective therapy options. If patients with cancer are administered Kampo formulas, their vital energy is restored, and they develop a will to fight the cancer. As a result, communication becomes easier. PMID:26809299

  6. Cardy formula for charged black holes with anisotropic scaling

    NASA Astrophysics Data System (ADS)

    Bravo-Gaete, Moisés; Gómez, Sebastián; Hassaïne, Mokhtar

    2015-12-01

    We first observe that for Lifshitz black holes of which the only charge is the mass, the resulting Smarr relation is a direct consequence of the Lifshitz Cardy formula. From this observation, we propose to extend the Cardy formula to the case of electrically charged Lifshitz black holes satisfying as well a Smarr relation. The expression of our formula depends on the dynamical exponent, the energy and the charge of the ground state which is played by a magnetically charged soliton obtained through a double Wick rotation. The expression also involves a factor multiplying the chemical potentials which varies in function of the electromagnetic theory considered. This factor is precisely the one that appears in the Smarr formula for charged Lifshitz black holes. We test the validity of this Cardy formula in different situations where electrically Lifshitz charged black holes satisfying a Smarr relation are known. We then extend these results to electrically charged black holes with hyperscaling violation. Finally, an example in the charged anti-de Sitter case is also provided.

  7. Revision of the MCSAP Allocation Formula: Summary Report

    SciTech Connect

    Truett, L.F.

    2000-09-12

    In 1982, Congress authorized the Motor Carrier Safety Assistance Program (MCSAP), a Federal grant-in-aid program to improve commercial motor carrier safety. MCSAP was reauthorized in 1986, 1991, and 1998. In June 1997, in anticipation of and preparation for reauthorization, a MCSAP Formula Workgroup convened to analyze requirements for a new allocation formula and to develop the formula. Because of provisions in the Transportation Equity Act for the 21st Century (TEA-21), a major change in approach was to consider including performance (i.e., safety improvements) in the formula. Oak Ridge National Laboratory (ORNL) actively participated in the Workgroup activities, provided technical assistance in evaluating factors and conducting scenario analyses, prepared regulatory language for the Federal Register Notice of Proposed Rulemaking (NPRM), analyzed NPRM comments and recommended responses to the comments, assisted with preparation of the Federal Register Final Rule, developed the final spreadsheet, and prepared an informational brochure on MCSAP for use by the States. The allocation of MCSAP funds for FY2001 will use the new formula.

  8. Revision of the MCSAP Allocation Formula: Summary Report

    SciTech Connect

    Truett, L.F.; Davis, S.C.; Hu, P.S.

    2000-09-01

    In 1982, Congress authorized the Motor Carrier Safety Assistance Program (MCSAP), a Federal grant-in-aid program to improve commercial motor carrier safety. MCSAP was reauthorized in 1986, 1991, and 1998. In June 1997, in anticipation of and preparation for reauthorization, a MCSAP Formula Workgroup convened to analyze requirements for a new allocation formula and to develop the formula. Because of provisions in the Transportation Equity Act for the 21st Century (TEA-21), a major change in approach was to consider including performance (i.e., safety improvements) in the formula. Oak Ridge National Laboratory (ORNL) actively participated in the Workgroup activities, provided technical assistance in evaluating factors and conducting scenario analyses, prepared regulatory language for the Federal Register Notice of Proposed Rulemaking (NPRM), analyzed NPRM comments and recommended responses to the comments, assisted with preparation of the Federal Register Final Rule, developed the final spreadsheet, and prepared an informational brochure on MCSAP for use by the States. The allocation of MCSAP funds for FY2001 will use the new formula.

  9. Microbiological assessment and evaluation of rehydration instructions on powdered infant formulas, follow-up formulas, and infant foods in Malaysia.

    PubMed

    Abdullah Sani, N; Hartantyo, S H P; Forsythe, S J

    2013-01-01

    A total of 90 samples comprising powdered infant formulas (n=51), follow-up formulas (n=21), and infant foods (n=18) from 15 domestic and imported brands were purchased from various retailers in Klang Valley, Malaysia and evaluated in terms of microbiological quality and the similarity of rehydration instructions on the product label to guidelines set by the World Health Organization. Microbiological analysis included the determination of aerobic plate count (APC) and the presence of Enterobacteriaceae and Cronobacter spp. Isolates of interest were identified using ID 32E (bioMérieux France, Craponne, France). In this study, 87% of powdered infant formulas, follow-up formulas, and infant foods analyzed had an APC below the permitted level of <10(4) cfu/g. These acceptable APC ranged between <10(2) to 7.2×10(3) cfu/g. The most frequently isolated Enterobacteriaceae was Enterobacter cloacae, which was present in 3 infant formulas and 1 infant food tested. Other Enterobacteriaceae detected from powdered infant and follow-up formulas were Citrobacter spp., Klebsiella spp., and other Enterobacter spp. No Cronobacter species were found in any samples. Rehydration instructions from the product labels were collated and it was observed that none directed the use of water with a temperature >70°C for formula preparation, as specified by the 2008 revised World Health Organization guidelines. Six brands instructed the use of water at 40 to 55°C, a temperature range that would support the survival and even growth of Enterobacteriaceae. PMID:23141821

  10. Testing Linear Temporal Logic Formulae on Finite Execution Traces

    NASA Technical Reports Server (NTRS)

    Havelund, Klaus; Rosu, Grigore; Norvig, Peter (Technical Monitor)

    2001-01-01

    We present an algorithm for efficiently testing Linear Temporal Logic (LTL) formulae on finite execution traces. The standard models of LTL are infinite traces, reflecting the behavior of reactive and concurrent systems which conceptually may be continuously alive. In most past applications of LTL. theorem provers and model checkers have been used to formally prove that down-scaled models satisfy such LTL specifications. Our goal is instead to use LTL for up-scaled testing of real software applications. Such tests correspond to analyzing the conformance of finite traces against LTL formulae. We first describe what it means for a finite trace to satisfy an LTL property. We then suggest an optimized algorithm based on transforming LTL formulae. The work is done using the Maude rewriting system. which turns out to provide a perfect notation and an efficient rewriting engine for performing these experiments.

  11. Einstein's Radiation Formula and Modifications to the Einstein Equation

    NASA Astrophysics Data System (ADS)

    Lo, C. Y.

    1995-12-01

    Einstein's radiation formula is supported by the Taylor-Hulse experiment, but its derivation is not self-consistent. Furthermore, as discovered by Einstein, his radiation formula is not compatible with his field equation. As suggested by Einstein's own remark, modifications to the source tensor are necessary. Based on the Taylor-Hulse experiment, in this paper a theory is developed within the theoretical framework of general relativity within which the radiation formula remains the same for binary stars. Concurrently, it is determined that, because of radiation, the source tensor is not zero in a vacuum. Antigravity coupling, suggested by Pauli as a possibility, is a necessary feature. In addition, it is shown that the current theory of linearized gravity is not valid for radiation.

  12. Absorption of fortification iron from milk formulas in infants

    SciTech Connect

    Stekel, A.; Olivares, M.; Pizarro, F.; Chadud, P.; Lopez, I.; Amar, M.

    1986-06-01

    The bioavailability of iron added to different types of cows' milk formulas was studied using mono-isotopic and double-isotopic methods in 396 infants aged 5-18 mo. All the milk formulas were fortified with ferrous sulfate in concentrations varying between 10 and 19 mg elemental iron/liter. Iron absorption from low-fat milks and full-fat milks varied from 2.9 to 5.1%. A higher range of mean absorption, 5.9 to 11.3%, was observed in the same formulas with the addition of ascorbic acid at concentrations of 100 mg/l or higher (up to 800 mg/l), demonstrating its enhancing effect on iron absorption in fortified milks. The amount of milk fat, the addition of carbohydrates, or acidification did not seem to influence iron absorption.

  13. Quadrature formulae for classes of functions of low smoothness

    SciTech Connect

    Nursultanov, E D; Tleukhanova, N T

    2003-10-31

    For Sobolev and Korobov spaces of functions of several variables a quadrature formula with explicitly defined coefficients and nodes is constructed. This formula is precise for trigonometric polynomials with harmonics from the corresponding step hyperbolic cross. The error of the quadrature formula in the classes W{sup {alpha}}{sub p}[0,1]{sup n}, E{sup {alpha}}[0,1]{sup n} is o((ln M){sup {beta}}/M{sup {alpha}}), where M is the number of nodes and {beta} is a parameter depending on the class. The problem of the approximate calculation of multiple integrals for functions in W{sup {alpha}}{sub p}[0,1]{sup n} is considered in the case when this class does not lie in the space of continuous functions, that is, for {alpha}{<=}1/p.

  14. Analytic flux formulas and tables of shielding functions

    SciTech Connect

    Wallace, O.J.

    1981-06-01

    Hand calculations of radiation flux and dose rates are often useful in evaluating radiation shielding and in determining the scope of a problem. The flux formulas appropriate to such calculations are almost always based on the point kernel and allow for at most the consideration of laminar slab shields. These formulas often require access to tables of values of integral functions for effective use. Flux formulas and function tables appropriate to calculations involving homogeneous source regions with the shapes of lines, disks, slabs, truncated cones, cylinders, and spheres are presented. Slab shields may be included in most of these calculations, and the effect of a cylindrical shield surrounding a cylindrical source may be estimated. Detector points may be located axially, laterally, or interior to a cylindrical source. Line sources may be tilted with respect to a slab shield. All function tables are given for a wide range of arguments.

  15. Some reference formulas for the generating functions of canonical transformations

    NASA Astrophysics Data System (ADS)

    Anselmi, Damiano

    2016-02-01

    We study some properties of the canonical transformations in classical mechanics and quantum field theory and give a number of practical formulas concerning their generating functions. First, we give a diagrammatic formula for the perturbative expansion of the composition law around the identity map. Then we propose a standard way to express the generating function of a canonical transformation by means of a certain "componential" map, which obeys the Baker-Campbell-Hausdorff formula. We derive the diagrammatic interpretation of the componential map, work out its relation with the solution of the Hamilton-Jacobi equation and derive its time-ordered version. Finally, we generalize the results to the Batalin-Vilkovisky formalism, where the conjugate variables may have both bosonic and fermionic statistics, and describe applications to quantum field theory.

  16. An analytic formula for the supercluster mass function

    SciTech Connect

    Lim, Seunghwan; Lee, Jounghun E-mail: jounghun@astro.snu.ac.kr

    2014-03-01

    We present an analytic formula for the supercluster mass function, which is constructed by modifying the extended Zel'dovich model for the halo mass function. The formula has two characteristic parameters whose best-fit values are determined by fitting to the numerical results from N-body simulations for the standard ΛCDM cosmology. The parameters are found to be independent of redshifts and robust against variation of the key cosmological parameters. Under the assumption that the same formula for the supercluster mass function is valid for non-standard cosmological models, we show that the relative abundance of the rich superclusters should be a powerful indicator of any deviation of the real universe from the prediction of the standard ΛCDM model.

  17. Modular forms and a generalized Cardy formula in higher dimensions

    NASA Astrophysics Data System (ADS)

    Shaghoulian, Edgar

    2016-06-01

    We derive a formula which applies to conformal field theories on a spatial torus and gives the asymptotic density of states solely in terms of the vacuum energy on a parallel plate geometry. The formula follows immediately from global scale and Lorentz invariance, but to our knowledge has not previously been made explicit. It can also be understood from the fact that log Z on T2×Rd -1 transforms as the absolute value of a nonholomorphic modular form of weight d -1 , which we show. The results are extended to theories which violate Lorentz invariance and hyperscaling but maintain a scaling symmetry. The formula is checked for the cases of a free scalar, free Maxwell gauge field, and free N =4 super Yang-Mills. The case of a Maxwell gauge field gives Casimir's original calculation of the electromagnetic force between parallel plates in terms of the entropy of a photon gas.

  18. Uniform asymptotic formula for the Aharonov Bohm wavefield

    NASA Astrophysics Data System (ADS)

    Hannay, J. H.

    2016-06-01

    A uniform asymptotic formula for the Aharonov–Bohm wavefield (that of a plane quantum wave scattered by a thin straight solenoid) far away from the solenoid is obtained in a direct way. Actually quite good accuracy is achieved even down to one wavelength away. The error is numerically of order radius^(‑3/2) for all values of polar angle, including directly forwards. Several previous formulas, uniform and otherwise, for the far field limit exist in the literature. All contain the essential ingredient: the Fresnel integral (complex error function), but ordinarily the error in these formulas is of order radius^(‑1/2) in the forwards direction where the Fresnel contribution is most important.

  19. The aluminium content of infant formulas remains too high

    PubMed Central

    2013-01-01

    Background Recent research published in this journal highlighted the issue of the high content of aluminium in infant formulas. The expectation was that the findings would serve as a catalyst for manufacturers to address a significant problem of these, often necessary, components of infant nutrition. It is critically important that parents and other users have confidence in the safety of infant formulas and that they have reliable information to use in choosing a product with a lower content of aluminium. Herein, we have significantly extended the scope of the previous research and the aluminium content of 30 of the most widely available and often used infant formulas has been measured. Methods Both ready-to-drink milks and milk powders were subjected to microwave digestion in the presence of 15.8 M HNO3 and 30% w/v H2O2 and the aluminium content of the digests was measured by TH GFAAS. Results Both ready-to-drink milks and milk powders were contaminated with aluminium. The concentration of aluminium across all milk products ranged from ca 100 to 430 μg/L. The concentration of aluminium in two soya-based milk products was 656 and 756 μg/L. The intake of aluminium from non-soya-based infant formulas varied from ca 100 to 300 μg per day. For soya-based milks it could be as high as 700 μg per day. Conclusions All 30 infant formulas were contaminated with aluminium. There was no clear evidence that subsequent to the problem of aluminium being highlighted in a previous publication in this journal that contamination had been addressed and reduced. It is the opinion of the authors that regulatory and other non-voluntary methods are now required to reduce the aluminium content of infant formulas and thereby protect infants from chronic exposure to dietary aluminium. PMID:24103160

  20. Two Prophecy Formulas for Assessing the Reliability of Item Response Theory-Based Ability Estimates

    ERIC Educational Resources Information Center

    Raju, Nambury S.; Oshima, T.C.

    2005-01-01

    Two new prophecy formulas for estimating item response theory (IRT)-based reliability of a shortened or lengthened test are proposed. Some of the relationships between the two formulas, one of which is identical to the well-known Spearman-Brown prophecy formula, are examined and illustrated. The major assumptions underlying these formulas are…