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Mathematical potential theory  517.57  Harmonic functions and their generalizations. Subharmonic functions. Polyharmonic functions. Plurisubharmonic functions  Harmonic functions.  Potential theory (Mathematics)  Potential theory (Mathematics).  517.57 Harmonic functions and their generalizations. Subharmonic functions. Polyharmonic functions. Plurisubharmonic functions  Harmonic functions  Fonctions harmoniques  Potentiel, Théorie du
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Harmonic analysis. Fourier analysis  Ordered algebraic structures  517.986.6  Harmonic analysis of functions of groups and homogeneous spaces  517.986.6 Harmonic analysis of functions of groups and homogeneous spaces  Potential theory (Mathematics)  Locally compact Abelian groups.  Potentiel, Théorie du  Groupes abéliens localement compacts  Potential theory (Mathematics).  Potentiel, Théorie du.  Groupes abéliens localement compacts  Fourier, Transformations de  Locally compact Abelian groups  Fourier transformations
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Potential theory (Mathematics)  Harmonic functions  Martingales (Mathematics)  Potentiel, Théorie du  Fonctions harmoniques  Martingales (Mathématiques)  517.57  Green's operators  Green's theorem  Potential functions (Mathematics)  Potential, Theory of  Mathematical analysis  Mechanics  Stochastic processes  Functions, Harmonic  Laplace's equations  Bessel functions  Differential equations, Partial  Fourier series  Harmonic analysis  Lamé's functions  Spherical harmonics  Toroidal harmonics  Harmonic functions and their generalizations. Subharmonic functions. Polyharmonic functions. Plurisubharmonic functions  Harmonic functions.  Martingales (Mathematics).  Potential theory (Mathematics).  517.57 Harmonic functions and their generalizations. Subharmonic functions. Polyharmonic functions. Plurisubharmonic functions  Potentiel, Théorie du  Martingales (Mathématiques)  Mathematical potential theory  Probability theory  Processus stochastiques  Probabilités.  Probabilities
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Probability theory  Mathematical potential theory  Measure theory. Mathematical integration  Probabilities  Measure theory  Potential theory (Mathematics)  Martingales (Mathematics)  Probabilités  Mesure, Théorie de la  Potentiel, Théorie du  Martingales (Mathématiques)  Potential, Theory of  519.2  681.3*G3  Stochastic processes  Green's operators  Green's theorem  Potential functions (Mathematics)  Mathematical analysis  Mechanics  Lebesgue measure  Measurable sets  Measure of a set  Algebraic topology  Integrals, Generalized  Measure algebras  Rings (Algebra)  Probability. Mathematical statistics  Probability and statistics: probabilistic algorithms (including Monte Carlo);random number generation; statistical computing; statistical software (Mathematics of computing)  Measure theory.  Probabilities.  Martingales (Mathematics).  Potential theory (Mathematics).  681.3*G3 Probability and statistics: probabilistic algorithms (including Monte Carlo);random number generation; statistical computing; statistical software (Mathematics of computing)  519.2 Probability. Mathematical statistics  Probabilités  Mesure, Théorie de la  Potentiel, Théorie du  Martingales (Mathématiques)  Processus stochastiques  Probabilités.
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Stochastic processes  Mathematical potential theory  Brownian movements  Potential theory (Mathematics)  Markov processes  Mouvement brownien  Potentiel, Théorie du  Markov, Processus de  Potential, Theory of  519.218  Green's operators  Green's theorem  Potential functions (Mathematics)  Mathematical analysis  Mechanics  Analysis, Markov  Chains, Markov  Markoff processes  Markov analysis  Markov chains  Markov models  Models, Markov  Processes, Markov  Capillarity  Liquids  Matter  Special stochastic processes  Properties  519.218 Special stochastic processes  Potentiel, Théorie du
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The authors present a unified treatment of basic topics that arise in Fourier analysis. Their intention is to illustrate the role played by the structure of Euclidean spaces, particularly the action of translations, dilatations, and rotations, and to motivate the study of harmonic analysis on more general spaces having an analogous structure, e.g., symmetric spaces.
Harmonic analysis.  Harmonic functions.  Functions, Harmonic  Laplace's equations  Analysis (Mathematics)  Functions, Potential  Potential functions  Harmonic analysis. Fourier analysis  Harmonic analysis  Fourier analysis  Harmonic functions  Analyse harmonique  Analyse de Fourier  Fonctions harmoniques  Fourier Analysis  Fourier, Transformations de  Euclide, Espaces d'  Bessel functions  Differential equations, Partial  Fourier series  Lamé's functions  Spherical harmonics  Toroidal harmonics  Banach algebras  Timeseries analysis  Analysis, Fourier  Fourier analysis.  Basic Sciences. Mathematics  Analysis, Functions  Analysis, Functions.  Calculus  Mathematical analysis  Mathematics  Fourier, Transformations de.  Euclide, Espaces d'.  Potentiel, Théorie du  Fonctions harmoniques.  Potential theory (Mathematics)
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Univariate statistical analysis is concerned with techniques for the analysis of a single random variable. This book is about applied multivariate analysis. It was written to p vide students and researchers with an introduction to statistical techniques for the ana sis of continuous quantitative measurements on several random variables simultaneously. While quantitative measurements may be obtained from any population, the material in this text is primarily concerned with techniques useful for the analysis of continuous obser tions from multivariate normal populations with linear structure. While several multivariate methods are extensions of univariate procedures, a unique feature of multivariate data an ysis techniques is their ability to control experimental error at an exact nominal level and to provide information on the covariance structure of the data. These features tend to enhance statistical inference, making multivariate data analysis superior to univariate analysis. While in a previous edition of my textbook on multivariate analysis, I tried to precede a multivariate method with a corresponding univariate procedure when applicable, I have not taken this approach here. Instead, it is assumed that the reader has taken basic courses in multiple linear regression, analysis of variance, and experimental design. While students may be familiar with vector spaces and matrices, important results essential to multivariate analysis are reviewed in Chapter 2. I have avoided the use of calculus in this text.
Mathematical statistics  Multivariate analysis.  Analyse multivariée  Multivariate analysis  Mathematics  Physical Sciences & Mathematics  Mathematical Statistics  #SBIB:303H520  Methoden sociale wetenschappen: techniek van de analyse, algemeen  519.535  Multivariate distributions  Multivariate statistical analysis  Statistical analysis, Multivariate  Analysis of variance  Matrices  Electronic information resources  Ebooks  Mathematics.  Mathematical analysis.  Analysis (Mathematics).  Potential theory (Mathematics).  Probabilities.  Statistics.  Analysis.  Potential Theory.  Probability Theory and Stochastic Processes.  Statistical Theory and Methods.  Statistics for Social Science, Behavorial Science, Education, Public Policy, and Law.  Statistics for Business/Economics/Mathematical Finance/Insurance.  Statistics for Social Science, Behavioral Science, Education, Public Policy, and Law.  Global analysis (Mathematics).  Distribution (Probability theory.  Mathematical statistics.  Statistics for Social Sciences, Humanities, Law.  Statistics for Business, Management, Economics, Finance, Insurance.  Statistics .  Probability  Statistical inference  Combinations  Chance  Least squares  Risk  Statistical analysis  Statistical data  Statistical methods  Statistical science  Econometrics  Green's operators  Green's theorem  Potential functions (Mathematics)  Potential, Theory of  Mathematical analysis  Mechanics  517.1 Mathematical analysis
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Offers an overview of the knowledge of gastrointestinal immunology and the commensal microbiology of the gut. This book includes chapters dedicated to methodologies used to investigate the microbiota and host: molecular analysis of microbial diversity and gnotobiotic research.
Biomedicine.  Biomedicine general.  Immunology.  Medicine.  Médecine  Immunologie  Bacterial Physiology.  Gastrointestinal system.  Gastrointestinal Tract.  Gastrointestinal system  Gastrointestinal Tract  Physiology  Microbiology  Bacterial Physiological Phenomena  Biology  Biological Science Disciplines  Digestive System  Microbiological Phenomena  Phenomena and Processes  Natural Science Disciplines  Anatomy  Disciplines and Occupations  Microbiology & Immunology  Health & Biological Sciences  Immunology  Anatomies  Natural Sciences  Physical Sciences  Discipline, Natural Science  Disciplines, Natural Science  Natural Science  Natural Science Discipline  Physical Science  Science, Natural  Science, Physical  Sciences, Natural  Sciences, Physical  Microbial Concepts  Microbial Phenomena  Microbiologic Concepts  Microbiological Phenomenon  Microbiological Process  Phenomena, Microbiologic  Microbiologic Phenomena  Microbiological Processes  Concept, Microbial  Concept, Microbiologic  Concepts, Microbial  Concepts, Microbiologic  Microbial Concept  Microbiologic Concept  Phenomena, Microbial  Phenomena, Microbiological  Phenomenon, Microbiological  Process, Microbiological  Processes, Microbiological  Ailmentary System  Alimentary System  Biologic Sciences  Biological Science  Science, Biological  Sciences, Biological  Biological Sciences  Life Sciences  Biologic Science  Biological Science Discipline  Discipline, Biological Science  Disciplines, Biological Science  Life Science  Science Discipline, Biological  Science Disciplines, Biological  Science, Biologic  Science, Life  Sciences, Biologic  Sciences, Life  Bacterial Physiological Concepts  Bacterial Physiological Phenomenon  Bacterial Process  Physiology, Bacterial  Bacterial Physiology  Bacterial Processes  Bacterial Physiological Concept  Concept, Bacterial Physiological  Concepts, Bacterial Physiological  Phenomena, Bacterial Physiological  Phenomenon, Bacterial Physiological  Process, Bacterial  Processes, Bacterial  Bacteria  GI Tract  Digestive Tract  Digestive Tracts  GI Tracts  Gastrointestinal Tracts  Gastrointestinal system  Gastrointestinal tract  GI tract  Tract, Gastrointestinal  Tract, GI  physiology  Conformal mapping  Functions of complex variables  Potential theory (Mathematics)  Complex variables  Conformal representation of surfaces  Mapping, Conformal  Transformation, Conformal  Surfaces, Representation of  Analysis?<061.3>  Immunobiology  Life sciences  Serology  Clinical sciences  Medical profession  Human biology  Medical sciences  Pathology  Physicians  Functional analysis  Functions of complex variables  Potential theory (Mathematics)  517 <061.3>  Geometric function theory  Mappings (Mathematics)  Transformations (Mathematics)  517 <061.3> Analysis?<061.3>  Analysis?<061.3>  Congresses  Complex analysis  Congresses.  Health Workforce
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