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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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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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Quasiconformal mappings.  Green's functions.  Jump processes.  51 <082.1>  MathematicsSeries  Quasiconformal mappings  Jump processes  Applications quasi conformes  Green, Fonctions de  Processus de sauts  Complex analysis  Computer architecture. Operating systems  Green's functions  Functions, Green's  Functions, Induction  Functions, Source  Green functions  Induction functions  Source functions  Differential equations  Potential theory (Mathematics)  Mappings, Quasiconformal  Conformal mapping  Functions of complex variables  Geometric function theory  Mappings (Mathematics)  Processes, Jump  Markov processes
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Green's functions  Manybody problem  Solid state physics  nbody problem  Problem of many bodies  Problem of nbodies  Functions, Green's  Functions, Induction  Functions, Source  Green functions  Induction functions  Source functions  Problème des N corps  Green, Fonctions de  Physique de l'état solide  Statistical physics  Physics  Solids  Mechanics, Analytic  Differential equations  Potential theory (Mathematics)  Solid state physics.  Manybody problem.  Green's functions.  Problème des N corps
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Hydraulic energy  Fluid mechanics  Harmonic functions.  Potential theory (Mathematics)  Fluid mechanics.  Fonctions harmoniques  Potentiel, Théorie du  Mécanique des fluides  Quadrature domains.  51 <082.1>  MathematicsSeries  Potentiel, Théorie du  Mécanique des fluides  Harmonic functions  Quadrature domains  Domains, Quadrature  Green's operators  Green's theorem  Potential functions (Mathematics)  Potential, Theory of  Mathematical analysis  Mechanics  Functions, Harmonic  Laplace's equations  Bessel functions  Differential equations, Partial  Fourier series  Harmonic analysis  Lamé's functions  Spherical harmonics  Toroidal harmonics  Hydromechanics  Continuum mechanics  Fluides, Mécanique des  Viscosity  Viscosité  Viscosity.  Viscosité.
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Partial differential equations  Boundary value problems  Green's functions  Mathematical physics  Problèmes aux limites  Green, Fonctions de  Physique mathématique  517.95  Physical mathematics  Physics  Functions, Green's  Functions, Induction  Functions, Source  Green functions  Induction functions  Source functions  Differential equations  Potential theory (Mathematics)  Boundary conditions (Differential equations)  Functions of complex variables  Initial value problems  Mathematics  Boundary value problems.  Green's functions.  Mathematical physics.  517.95 Partial differential equations  Problèmes aux limites  Physique mathématique  Differential equations, Linear  Équations aux dérivées partielles linéaires  Équations différentielles linéaires
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Solid state physics  Manybody problem  Green's functions  Physique de l'état solide  Problème des N corps  Green, Fonctions de  538.9  538.9 Physics of condensed matter (in liquid state and solid state)  Physics of condensed matter (in liquid state and solid state)  Physics  Solids  nbody problem  Problem of many bodies  Problem of nbodies  Mechanics, Analytic  Functions, Green's  Functions, Induction  Functions, Source  Green functions  Induction functions  Source functions  Differential equations  Potential theory (Mathematics)  Statistical physics  Green's functions.  Manybody problem.  Solid state physics.
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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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