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Exponential functions.  Functions, Exponential  Hyperbolic functions  Exponents (Algebra)  Logarithms  Transcendental functions
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Real and complex exponential data fitting is an important activity in many different areas of science and engineering, ranging from Nuclear Magnetic Resonance Spectroscopy and Lattice Quantum Chromodynamics to Electrical and Chemical Engineering, Vision and Robotics. The most commonly used norm in the approximation by linear combinations of exponentials is the l2 norm (sum of squares of residuals), in which case one obtains a nonlinear separable least squares problem. A number of different methods have been proposed through the years to solve these types of problems and new applications appear
Exponential functions.  Functions, Exponential  Hyperbolic functions  Exponents (Algebra)  Logarithms  Transcendental functions
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Number theory  517.5  Combinatorial enumeration problems  Generating functions, Exponential  #WWIS:STAT  Exponential generating functions  Enumeration problems, Combinatorial  Combinatorial analysis  Theory of functions  517.5 Theory of functions  Analyse combinatoire  Fonctions génératrices  Generating functions  Fonctions génératrices.
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Fonctions exponentielles  Fonctions logarithmes  Functies [Exponentiele ]  Functions [Exponential ]  Functions [Hyperbolic ]  Functions [Logarithmic ]  Logarithmic functions  Logaritmische functies  Trigonometrical functions  Mathematics  Exponential functions  Fonctions trigonométriques  Mathématiques  Study and teaching  Étude et enseignement  Fonctions exponentielles.  Fonctions logarithmes.  Fonctions trigonométriques.  Étude et enseignement.
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This singlevolume compilation of three books centers on Hyperbolic Functions, an introduction to the relationship between the hyperbolic sine, cosine, and tangent, and the geometric properties of the hyperbola. The development of the hyperbolic functions, in addition to those of the trigonometric (circular) functions, appears in parallel columns for comparison. A concluding chapter introduces natural logarithms and presents analytic expressions for the hyperbolic functions.The second book, Configuration Theorems, requires only the most elementary background in plane and solid geometry. It dis
Exponential functions  Geometry, Projective  Polygons  Polyhedra  Mathematics  Physical Sciences & Mathematics  Calculus  Polyhedral figures  Polyhedrons  Geometry, Solid  Shapes  Polygonal figures  Geometry, Plane  Projective geometry  Geometry, Modern  Functions, Exponential  Hyperbolic functions  Exponents (Algebra)  Logarithms  Transcendental functions
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The Role of Mathematics in Science aims to illustrate the many ways in which mathematical methods have helped discovery in science. It is aimed at a group of readers who are interested in mathematics beyond the level of high school. The authors occasionally use some calculus and more intricate arguments. The book should appeal to college students and general readers with some background in mathematics. The authors state that, 'If we succeed in giving an impression of the beauty and power of mathematical reasoning in science, the purpose of our work will have been achieved.' This book includes the laws of levers and inclined planes, the laws of exponential versus limited population growth, ray optics, and relativity.
Exponential functions.  Mathematical analysis.  517.1 Mathematical analysis  Mathematical analysis  Functions, Exponential  Hyperbolic functions  Exponents (Algebra)  Logarithms  Transcendental functions  Mathematical physics.  Mathematics.  Science.  Natural science  Natural sciences  Science of science  Sciences  Math  Science  Physical mathematics  Physics  Mathematics
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This book presents a functional approach to the construction, use and approximation of Green's functions and their associated ordered exponentials. After a brief historical introduction, the author discusses new solutions to problems involving particle production in crossed laser fields and nonconstant electric fields. Applications to problems in potential theory and quantum field theory are covered, along with approximations for the treatment of color fluctuations in highenergy QCD scattering, and a model for summing classes of eikonal graphs in highenergy scattering problems. The book also presents a variant of the Fradkin representation which suggests a new nonperturbative approximation scheme, and provides a qualitative measure of the error involved in each such approximation. Covering the basics as well as more advanced applications, this book is suitable for graduate students and researchers in a wide range of fields, including quantum field theory, fluid dynamics and applied mathematics.
Green's functions.  Exponential functions.  Mathematical physics.  Physical mathematics  Physics  Functions, Exponential  Hyperbolic functions  Exponents (Algebra)  Logarithms  Transcendental functions  Functions, Green's  Functions, Induction  Functions, Source  Green functions  Induction functions  Source functions  Differential equations  Potential theory (Mathematics)  Mathematics
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Mathematical statistics  Sufficient statistics  Distribution (Probability theory)  Exponential functions  519.24  519.221  Statistics, Sufficient  Sampling (Statistics)  Functions, Exponential  Hyperbolic functions  Exponents (Algebra)  Logarithms  Transcendental functions  Distribution functions  Frequency distribution  Characteristic functions  Probabilities  Special statistical applications and models  Foundations of statistical theory  519.221 Foundations of statistical theory  519.24 Special statistical applications and models
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The book collects the most relevant results from the INdAM Workshop "Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics" held in Rome, September 1418, 2015. The contributions discuss recent major advances in the study of nonlinear hyperbolic systems, addressing general theoretical issues such as symmetrizability, singularities, low regularity or dispersive perturbations. It also investigates several physical phenomena where such systems are relevant, such as nonlinear optics, shock theory (stability, relaxation) and fluid mechanics (boundary layers, water waves, Euler equations, geophysical flows, etc.). It is a valuable resource for researchers in these fields. .
Nonlinear systems.  Exponential functions.  Functions, Exponential  Hyperbolic functions  Systems, Nonlinear  Mathematics.  Fourier analysis.  Partial differential equations.  Applied mathematics.  Engineering mathematics.  Mathematical physics.  Partial Differential Equations.  Fourier Analysis.  Mathematical Physics.  Applications of Mathematics.  Exponents (Algebra)  Logarithms  Transcendental functions  System theory  Differential equations, partial.  Math  Science  Analysis, Fourier  Mathematical analysis  Partial differential equations  Engineering  Engineering analysis  Physical mathematics  Physics  Mathematics
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FOURIER ANALYSIS  Moment problems (Mathematics)  Exponential functions  Control theory  Distributed parameter systems  Fourier analysis  517.98  Calculus, Operational  Analysis, Fourier  Mathematical analysis  Functions, Exponential  Hyperbolic functions  Exponents (Algebra)  Logarithms  Transcendental functions  Systems, Distributed parameter  Engineering systems  System analysis  Dynamics  Machine theory  517.98 Functional analysis and operator theory  Functional analysis and operator theory
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