Academic literature on the topic 'Function of complex variable'

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Journal articles on the topic "Function of complex variable"

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Naik, Kamlesh Kumar. "Optimization of Complex Function Variable." International Journal for Research in Applied Science and Engineering Technology V, no. X (2017): 554–57. http://dx.doi.org/10.22214/ijraset.2017.10081.

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Deng, Dongmei, Qi Guo, and Wei Hu. "Complex-variable-function–Gaussian solitons." Optics Letters 34, no. 1 (2008): 43. http://dx.doi.org/10.1364/ol.34.000043.

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Chambers, Ll G., Robert E. Greene, and Steven G. Krantz. "Function Theory of One Complex Variable." Mathematical Gazette 82, no. 494 (1998): 347. http://dx.doi.org/10.2307/3620457.

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Deng, Dongmei, and Qi Guo. "Airy complex variable function Gaussian beams." New Journal of Physics 11, no. 10 (2009): 103029. http://dx.doi.org/10.1088/1367-2630/11/10/103029.

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Hayman, W. K., Yusaku Komatu, Kiyoshi Niino, and Chung-Chun Yang. "Analytic Function Theory of One Complex Variable." Mathematical Gazette 74, no. 470 (1990): 413. http://dx.doi.org/10.2307/3618181.

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杨, 彦晖. "Series Theory of Heterogeneous Complex Variable Function." Advances in Applied Mathematics 09, no. 02 (2020): 178–86. http://dx.doi.org/10.12677/aam.2020.92021.

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Whitley, R. J., and T. V. Hromadka. "Approximating harmonic functions onRn with one function of a single complex variable." Numerical Methods for Partial Differential Equations 21, no. 5 (2005): 905–17. http://dx.doi.org/10.1002/num.20067.

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Bakery, Awad A., and Mustafa M. Mohammed. "The Spectrum of Mapping Ideals of Type Variable Exponent Function Space of Complex Variables with Some Applications." Journal of Function Spaces 2021 (October 29, 2021): 1–15. http://dx.doi.org/10.1155/2021/3526217.

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The topological and geometric behaviors of the variable exponent formal power series space, as well as the prequasi-ideal construction by s -numbers and this function space of complex variables, are investigated in this article. Upper bounds for s -numbers of infinite series of the weighted n th power forward and backward shift operator on this function space are being investigated, with applications to some entire functions.
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Buescu, Jorge, and A. C. Paixão. "Complex Variable Positive Definite Functions." Complex Analysis and Operator Theory 8, no. 4 (2013): 937–54. http://dx.doi.org/10.1007/s11785-013-0319-1.

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Mohamed, Elsayed A. E., and Awad A. Bakery. "Kannan Nonexpansive Mappings on Variable Exponent Function Space of Complex Variables with Some Applications." Journal of Function Spaces 2022 (February 15, 2022): 1–22. http://dx.doi.org/10.1155/2022/9575121.

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This paper establishes the reality of a fixed point of Kannan’s prequasinorm contraction mapping on the variable exponent function space of complex variables, demonstrating that it satisfies the property (R) and possesses a prequasinormal structure. We have established the presence of a fixed point of Kannan prequasinorm nonexpansive mapping on it and Kannan prequasinorm contraction mapping in the prequasi-Banach operator ideal, created by this function space and s -numbers. Finally, we provide some applications for solutions to summable equations and illustrate instances to corroborate our fi
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Dissertations / Theses on the topic "Function of complex variable"

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Mammass, Driss. "Sur le theoreme de polya-carlson concernant les series de puissances a coefficients entiers dans c**(n)." Toulouse 3, 1988. http://www.theses.fr/1988TOU30097.

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L'objet de ce travail est un theoreme classique de polya-carlson sur la rationalite des series de puissances a coefficients entiers. Dans le premier chapitre, on donne une demonstration detaillee pour ce theoreme de polya dans le cas d'une famille normale de fonctions analytiques sur ck, avvec k un compact de c. Dans le second chapitre, on donne ce meme resultat pour une famille normale de fonctions analytiques sur ck::(1) x ck::(2) x. . . X ck::(n) ou k::(i), 1<-i<-n est un compact de c. Dans le dernier chapitre, on donne un critere de rationalite pour les series de puissances dans c**(n) qui
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Bennegueouche, Souad. "Invariance de certaines inegalites polynomicales harmoniques par rapport aux applications holomorphes." Toulouse 3, 1989. http://www.theses.fr/1989TOU30013.

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Apres avoir rappele quelques definitions et resultats sur la l-regularite et la condition polynomiale de leja, nous etudions leurs analogues par des polynomes harmoniques, notees (h::(s)) et (h::(o)). Nous donnons des exemples de compacts verifiant ces deux conditions et generalisons certains resultats du cas holomorphe au cas harmonique. Enfin, comme contribution principale, nous donnons des resultats sur l'invariance de (h::(s)) et (h::(o)) par rapport aux applications holomorphes
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Tela, Nlenvo Lucien. "Formes impaires et un problème de rigidité infinitésimale pour la quadrique complexe de dimension 3." Université Joseph Fourier (Grenoble), 1997. http://www.theses.fr/1997GRE10231.

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On considere la quadrique complexe q#n de dimension n qui est aussi la grassmannienne reelle des 2-plans orientes de r#n#+#2. Gasqui et goldschmidt ont montre que pour n 4 la quadrique q#n possede la propriete de rigidite infinitesimale : les seules 2-formes symetriques a energie nulle sont les derivees de lie de la metrique canonique. Les formes paires (resp. Impaires) sur la quadrique sont celles qui sont invariantes (resp. Anti-invariantes) par l'involution correspondant au changement d'orientation. Gasqui et goldschmidt ont aussi prouve que sur q#3, toute 2-forme symetrique a energie nulle
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Maingot, Stéphane. "Multitype et applications holomorphes propres." Rouen, 1989. http://www.theses.fr/1989ROUES010.

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On considère deux domaines pseudoconvexes de C**(n), à bord régulier passant par 0, et, une application holomorphe propre régulière jusqu'au bord, envoyant 0 en 0, reliant les deux domaines (l'application étant définie localement au voisinage de 0). On montre alors que le multitype en 0 du premier domaine et celui du second sont liés par une relation matricielle. L'étude est faite dans le cas général pour n égal à 2, sous des conditions restrictives sur les domaines pour n égal à 3, dans le cas de domaines très particulier pour n quelconque
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BONNEAU, PIERRE. "Solutions integrales de l'operateur de cauchy-riemann dans les domaines pseudoconvexes : applications a des problemes de division." Toulouse 3, 1987. http://www.theses.fr/1987TOU30034.

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Depuis 1970, on sait obtenir -et estimer- dans les domaines strictement pseudoconvexes, des solutions integrales de l'operateur de cauchy-riemann. L'objet essentiel de cette these est, d'une part, d'utiliser ces resultats pour resoudre certains problemes de division, d'autre part, de construire des solutions integrales de l'operateur de cauchy-riemann dans les domaines faiblement pseudoconvexes. Tout d'abord, dans un domaine strictement convexe, on ecrit une fonction meromorphe, a croissance connue, comme le quotient de deux fonctions holomorphes de croissance comparable. Dans un domaine stric
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ABDALLA, MOHAMED. "Quelques problemes en geometrie analytique de dimension infinie." Paris 6, 1986. http://www.theses.fr/1986PA066441.

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Le chapitre i de ce travail est consacre a l'etude des isometries pour la distance de caratheodory de la boule unite ouverte b de l**(1)(n). Le deuxieme chapitre est consacre a montrer un theoreme de classification de domaines de reinhardt bornes homogenes de l'espace de banach complexe c(s,c) des fonctions continues sur un espace topologique compact s, avec une hypothese supplementaire sur l'existence des sections; et on donne quelques applications dans le chapitre iii. Dans la deuxieme partie de cette these, on montre que l'ensemble des points fixes d'une application holomorphe dans un produ
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Ech-Cherif, El Kettani Mustapha. "Caractérisation des fonctions C. 29**(8) dont la trace est C. 29**(8) pour un morphisme fini." Nancy 1, 1987. http://www.theses.fr/1987NAN10073.

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Braun, H. T. F. "Model theory of holomorphic functions." Thesis, University of Oxford, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.401108.

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This thesis is concerned with a conjecture of Zilber: that the complex field expanded with the exponential function should be `quasi-minimal'; that is, all its definable subsets should be countable or have countable complement. Our purpose is to study the geometry of this structure and other expansions by holomorphic functions of the complex field without having first to settle any number-theoretic problems, by treating all countable sets on an equal footing. We present axioms, modelled on those for a Zariski geometry, defining a non-first-order class of ``quasi-Zariski'' structures endowed wi
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Reizner, Isabelle. "Régularité analytique globale pour l'équation de Cauchy-Riemann." Rouen, 1997. http://www.theses.fr/1997ROUES019.

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Cette thèse est consacrée à l'étude de la régularité analytique globale de l'équation de Cauchy-Riemann sur des domaines bornés pseudoconvexes et réguliers dont le bord est analytique réel. Dans la première partie, nous obtenons, sous certaines conditions supplémentaires sur le domaine, la régularité analytique globale de la solution canonique de l'équation de Cauchy-Riemann sur le bord du domaine. Dans la deuxième partie, on obtient le résultat pour une classe de domaines pseudoconvexes en dimension complexe n.
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Tancred, James Anderson. "Aerodynamic Database Generation for a Complex Hypersonic Vehicle Configuration Utilizing Variable-Fidelity Kriging." University of Dayton / OhioLINK, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=dayton1543801033672049.

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Books on the topic "Function of complex variable"

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1951-, Krantz Steven G., ed. Function theory of one complex variable. Wiley, 1997.

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1951-, Krantz Steven G., ed. Function theory of one complex variable. 3rd ed. American Mathematical Society, 2006.

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1951-, Krantz Steven G., ed. Function theory of one complex variable. 2nd ed. American Mathematical Society, 2002.

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Siegel, Carl Ludwig. Topics in complex function theory. Wiley, 1988.

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Complex function theory. 2nd ed. American Mathematical Society, 2007.

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Functions of one complex variable. 2nd ed. Springer-Verlag, 1995.

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A, Silverman Richard, ed. Theory of functions of a complex variable. AMS Chelsea Pub., 2005.

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Conway, John B. Functions of One Complex Variable II. Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4612-0817-4.

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Conway, John B. Functions of one complex variable II. Springer-Verlag, 1995.

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Chuang, Chi Tai, ed. Analytic Functions of One Complex Variable. American Mathematical Society, 1985. http://dx.doi.org/10.1090/conm/048.

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Book chapters on the topic "Function of complex variable"

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Lawden, Derek F. "Complex Variable Analysis." In Elliptic Functions and Applications. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4757-3980-0_8.

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Narasimhan, Raghavan. "Functions of Several Complex Variables." In Complex Analysis in one Variable. Birkhäuser Boston, 1985. http://dx.doi.org/10.1007/978-1-4757-1106-6_8.

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Narasimhan, Raghavan, and Yves Nievergelt. "Functions of Several Complex Variables." In Complex Analysis in One Variable. Birkhäuser Boston, 2001. http://dx.doi.org/10.1007/978-1-4612-0175-5_21.

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Narasimhan, Raghavan, and Yves Nievergelt. "Functions of Several Complex Variables." In Complex Analysis in One Variable. Birkhäuser Boston, 2001. http://dx.doi.org/10.1007/978-1-4612-0175-5_8.

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Jeffrey, Alan. "Functions of a complex variable." In Mathematics for Engineers and Scientists. Springer US, 1989. http://dx.doi.org/10.1007/978-1-4899-3128-3_10.

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Pólya, George, and Gabor Szegö. "Functions of One Complex Variable." In Problems and Theorems in Analysis I. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-642-61983-0_18.

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Davis, Jon H. "Functions of a Complex Variable." In Methods of Applied Mathematics with a MATLAB Overview. Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-0-8176-8198-2_5.

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Seebass, A. Richard. "Functions of a Complex Variable." In Handbook of Applied Mathematics. Springer US, 1990. http://dx.doi.org/10.1007/978-1-4684-1423-3_5.

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Davies, Brian. "Functions of a Complex Variable." In Texts in Applied Mathematics. Springer New York, 2002. http://dx.doi.org/10.1007/978-1-4684-9283-5_1.

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Radożycki, Tomasz. "Studying Functions of Complex Variable." In Solving Problems in Mathematical Analysis, Part III. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-38596-5_7.

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Conference papers on the topic "Function of complex variable"

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Zuo, Xing-quan, Hong-wei Mo, and Yu-shun Fan. "A Variable Neighborhood Immune Algorithm for Solving Complex Function Optimization Problems." In 2006 International Conference on Machine Learning and Cybernetics. IEEE, 2006. http://dx.doi.org/10.1109/icmlc.2006.258614.

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Cui, Haijian. "Study on the Integration of Mathematical Modelinginto Function of Complex Variable." In 6th International Conference on Electronic, Mechanical, Information and Management Society. Atlantis Press, 2016. http://dx.doi.org/10.2991/emim-16.2016.198.

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Gundersen, Joakim, Lubomir T. Dechevsky, George Venkov, Ralitza Kovacheva, and Vesela Pasheva. "On the Scientific Visualization of Complex-Valued Functions of One Complex Variable." In 35TH INTERNATIONAL CONFERENCE “APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS”: AMEE-2009. AIP, 2009. http://dx.doi.org/10.1063/1.3271633.

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Daxberger, Erik, Anastasia Makarova, Matteo Turchetta, and Andreas Krause. "Mixed-Variable Bayesian Optimization." In Twenty-Ninth International Joint Conference on Artificial Intelligence and Seventeenth Pacific Rim International Conference on Artificial Intelligence {IJCAI-PRICAI-20}. International Joint Conferences on Artificial Intelligence Organization, 2020. http://dx.doi.org/10.24963/ijcai.2020/365.

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The optimization of expensive to evaluate, black-box, mixed-variable functions, i.e. functions that have continuous and discrete inputs, is a difficult and yet pervasive problem in science and engineering. In Bayesian optimization (BO), special cases of this problem that consider fully continuous or fully discrete domains have been widely studied. However, few methods exist for mixed-variable domains and none of them can handle discrete constraints that arise in many real-world applications. In this paper, we introduce MiVaBo, a novel BO algorithm for the efficient optimization of mixed-variab
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McIntire, Matthew G., Elham Keshavarzi, Irem Y. Tumer, and Christopher Hoyle. "Functional Models With Inherent Behavior: Towards a Framework for Safety Analysis Early in the Design of Complex Systems." In ASME 2016 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/imece2016-67040.

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This paper represents a step toward a more complete frame-work of safety analysis early in the design process, specifically during functional modeling. This would be especially useful when designing in a new domain, where many functions have yet to be solved, or for a problem where the functional architecture space is large. In order to effectively analyze the inherent safety of a design only described by its functions and flows, we require some way to simulate it. As an already-available function failure reasoning tool, Function Failure Identification and Propagation (FFIP) utilizes two disti
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Huang, Kuang Yu, and Yu-Hsin Cheng. "Integrate Variable Precision Rough Sets and modified PBMF index function for partitioning and classifying complex datasets." In 2011 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, 2011. http://dx.doi.org/10.1109/fuzzy.2011.6007641.

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Huang, Xiao, Lei Zhao, Chen Wang, Yujie Luo, Xiangdong Zhou, and Jian Bai. "Description of complex optical surface based on sparse radial basis function approximation with spatially variable shape parameters." In Metasurface Wave and Planar Optics, edited by Minghui Hong, Xiong Li, Xiangang Luo, Changtao Wang, Xiaoliang Ma, and Mingbo Pu. SPIE, 2019. http://dx.doi.org/10.1117/12.2506450.

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Vescovini, Riccardo. "Analysis of Variable Stiffness Panels with Complex Geometries using R-Functions." In AIAA SCITECH 2022 Forum. American Institute of Aeronautics and Astronautics, 2022. http://dx.doi.org/10.2514/6.2022-0535.

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Hammani, Fatima Zahra, Maryem Rhanoui, and Bouchra El Asri. "Towards a variable non-functional requirements integration for Component-Based Product Line a generic approach." In 2014 Second World Conference on Complex Systems (WCCS). IEEE, 2014. http://dx.doi.org/10.1109/icocs.2014.7060992.

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Sultygov, Magomet Dzhabrailovich. "INTEGRAL REPRESENTATIONS OF SUBCLASSES OF THE STAR FUNCTIONS OF MANY COMPLEX VARIABLES." In IV Международная научно-практическая конференция "Научные исследования и инновации". KDU, Moscow, 2021. http://dx.doi.org/10.31453/kdu.ru.978-5-7913-1168-9-2021-17-30.

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In this paper, we present a method of integral representations of subclasses of the class of star functions of many complex variables, consisting in the fact that for the subclass of functions defined by a certain set of properties, an integral formula is derived, which gives the criterion of belonging of this function to this subclass. Very often, structural formulas are given by operators in the form of integral representations that convert one class of functions to another. Here are some examples of new subclasses of the class of star functions for which integral representations are constru
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Reports on the topic "Function of complex variable"

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Kott, Phillip S. The Role of Weights in Regression Modeling and Imputation. RTI Press, 2022. http://dx.doi.org/10.3768/rtipress.2022.mr.0047.2203.

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When fitting observations from a complex survey, the standard regression model assumes that the expected value of the difference between the dependent variable and its model-based prediction is zero, regardless of the values of the explanatory variables. A rarely failing extended regression model assumes only that the model error is uncorrelated with the model’s explanatory variables. When the standard model holds, it is possible to create alternative analysis weights that retain the consistency of the model-parameter estimates while increasing their efficiency by scaling the inverse-probabili
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Kott, Phillip S. Calibration-Weighting a Stratified Simple Random Sample with SUDAAN. RTI Press, 2022. http://dx.doi.org/10.3768/rtipress.2022.mr.0048.2204.

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This report shows how to apply the calibration-weighting procedures in SAS-callable SUDAAN (Version 11) to a stratified simple random sample drawn from a complete list frame for an establishment survey. The results are calibrated weights produced via raking, raking to a size variable, and pseudo-optimal calibration that potentially reduce and appropriately measure the standard errors of estimated totals. The report then shows how to use these procedures to remove selection bias caused by unit nonresponse under a plausible response model. Although unit nonresponse is usually assumed to be a fun
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Steffens, John C., and Eithan Harel. Polyphenol Oxidases- Expression, Assembly and Function. United States Department of Agriculture, 1995. http://dx.doi.org/10.32747/1995.7571358.bard.

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Polyphenol oxidases (PPOs) participate in the preparation of many plant products on the one hand and cause considerable losses during processing of plant products on the other hand. However, the physiological functions of plant PPO were still a subject of controversy at the onset of the project. Preliminary observations that suggested involvement of PPOs in resistance to herbivores and pathogens held great promise for application in agriculture but required elucidation of PPO's function if modulation of PPO expression is to be considered for improving plant protection or storage and processing
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Russo, David, and William A. Jury. Characterization of Preferential Flow in Spatially Variable Unsaturated Field Soils. United States Department of Agriculture, 2001. http://dx.doi.org/10.32747/2001.7580681.bard.

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Preferential flow appears to be the rule rather than the exception in field soils and should be considered in the quantitative description of solute transport in the unsaturated zone of heterogeneous formations on the field scale. This study focused on both experimental monitoring and computer simulations to identify important features of preferential flow in the natural environment. The specific objectives of this research were: (1) To conduct dye tracing and multiple tracer experiments on undisturbed field plots to reveal information about the flow velocity, spatial prevalence, and time evol
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McElwain, Terry, Eugene Pipano, Guy Palmer, Varda Shkap, Stephen Hines, and Douglas Jasmer. Protection of Cattle Against Babesiosis: Immunization with Recombinant DNA Derived Apical Complex Antigens of Babesia bovis. United States Department of Agriculture, 1995. http://dx.doi.org/10.32747/1995.7612835.bard.

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Bovine babesiosis caused by Babesia bovis continues to be a significant deterrent to global livestock production. Current control methods have both biological and technical drawbacks that have stimulated research on improved methods of vaccination. This BARD project has focused on characterization of candidate Babesia bovis vaccine antigens located in the apical complex, a unique group of subcellular organelles - including rhoptries, micronemes, and spherical bodies - involved in the invation of erythrocytes. Spherical bodies and rhoptries were partially purified and their contents characteriz
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Jury, William A., and David Russo. Characterization of Field-Scale Solute Transport in Spatially Variable Unsaturated Field Soils. United States Department of Agriculture, 1994. http://dx.doi.org/10.32747/1994.7568772.bard.

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This report describes activity conducted in several lines of research associated with field-scale water and solute processes. A major effort was put forth developing a stochastic continuum analysis for an important class of problems involving flow of reactive and non reactive chemicals under steady unsaturated flow. The field-scale velocity covariance tensor has been derived from local soil properties and their variability, producing a large-scale description of the medium that embodies all of the local variability in a statistical sense. Special cases of anisotropic medium properties not alig
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Trainer, Amelia Jo, and Patrick John Ledwith. Computation of the Complex Probability Function. Office of Scientific and Technical Information (OSTI), 2017. http://dx.doi.org/10.2172/1375900.

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Nagayama, Shinobu, Jon T. Butler, and Tsutomu Sasao. Programmable Numerical Function Generators for Two-Variable Functions. Defense Technical Information Center, 2008. http://dx.doi.org/10.21236/ada608068.

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Campbell, Mark. Human Centered, Variable Initiative Control of Complex Automata-Teams. Defense Technical Information Center, 2004. http://dx.doi.org/10.21236/ada425549.

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Nuttall, Albert H. Alias-Free Wigner Distribution Function and Complex Ambiguity Function for Discrete-Time Samples. Defense Technical Information Center, 1989. http://dx.doi.org/10.21236/ada211050.

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