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This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions)

Materie / parole chiave: Dissipative system; Attractor; Differential equation; Subject (documents); Mathematics; Dynamical systems theory; Manifold (fluid mechanics); Invariant (physics); Calculus (dental); Mathematical analysis; Computer scienc...

Materie / parole chiave: Differential (mechanical device); Mathematics; Applied mathematics; Physics; Thermodynamics

By decision-making in a fuzzy environment is meant a decision process in which the goals and/or the constraints, but not necessarily the system under control, are fuzzy in nature. This means that the goals and/or the con...

A density-functional formalism comparable to the Hohenberg-Kohn-Sham theory of the ground state is developed for arbitrary time-dependent systems. It is proven that the single-particle potential $v(\stackrel{\ensuremath{...

The R package mice imputes incomplete multivariate data by chained equations. The software mice 1.0 appeared in the year 2000 as an S-PLUS library, and in 2001 as an R package. mice 1.0 introduced predictor selection, pa...

Previous article Next article An Algorithm for Least-Squares Estimation of Nonlinear ParametersDonald W. MarquardtDonald W. Marquardthttps://doi.org/10.1137/0111030PDFPDF PLUSBibTexSections ToolsAdd to favoritesExport Ci...

Previous article Next article Fractional Brownian Motions, Fractional Noises and ApplicationsBenoit B. Mandelbrot and John W. Van NessBenoit B. Mandelbrot and John W. Van Nesshttps://doi.org/10.1137/1010093PDFBibTexSecti...

Preface Prologue: The Exponential Function Chapter 1: Abstract Integration Set-theoretic notations and terminology The concept of measurability Simple functions Elementary properties of measures Arithmetic in [0, ] Integ...

Abstract This book treats the central physical concepts and mathematical techniques used to investigate the dynamics of open quantum systems. To provide a self-contained presentation, the text begins with a survey of cla...

Materie / parole chiave: difference and functional equations, number theory, applied mathematics, differential geometry, operator theory, functional analysis; Science: Mathematics

Materie / parole chiave: mathematical analysis, functional analysis; functional equations, integral equations; functional integral equations, set-valued integral equations; Science: Mathematics

The electron density, its gradient, and the Kohn-Sham orbital kinetic energy density are the local ingredients of a meta-generalized gradient approximation (meta-GGA). We construct a meta-GGA density functional for the e...

Generalized gradient approximations (GGA's) for the exchange-correlation energy improve upon the local spin density (LSD) description of atoms, molecules, and solids. We present a simple derivation of a simple GGA, in wh...

Materie / parole chiave: mathematics, differential equations, functional analysis, complex analysis, discrete mathematics, probability theory; Science: Mathematics

Materie / parole chiave: applied mathematics, differential geometry, general topology, partial differential equations, functional analysis, operator theory; Science: Mathematics

Materie / parole chiave: numerical analysis, ordinary and partial differential equations, optimization theory, control theory, linear and nonlinear functional analysis, classical analysis; Science: Mathematics

Materie / parole chiave: pure mathematics, differential equations, differential geometry, topology, functional analysis, complex analysis; Science: Mathematics

Materie / parole chiave: nonlinear analysis, nonlinear functional analysis, differential equations, integral equations; Science: Mathematics: Analysis

Materie / parole chiave: mathematics, algebra, mahtematical analysis, functional analysis, differential equations; Science: Mathematics

Materie / parole chiave: functional analysis and operator theory, partial differential equations, applied mathematics, convex and geometric analysis, control and optimization; Science: Mathematics

Materie / parole chiave: mathematics, mathematical analysis, variational problem, functional analysis, differential equations; Science: Mathematics

Materie / parole chiave: mathematical physics, complex analysis, differential equations, spectral theory, geometry, functional analysis; Science: Mathematics