Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Exponents (Algebra) --- Exposants (algèbre)

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

eebo-0018

Fireworks --- Geometry --- Mensuration --- Roots, Numerical --- Numerical roots --- Cube root --- Exponents (Algebra) --- Square root --- Measuring --- Mensuration --- Mathematics --- Technology --- Metrology --- Physical measurements --- Mathematics, Greek --- Pyrotechnics --- Pyrotechnists

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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 non-constant electric fields. Applications to problems in potential theory and quantum field theory are covered, along with approximations for the treatment of color fluctuations in high-energy QCD scattering, and a model for summing classes of eikonal graphs in high-energy scattering problems. The book also presents a variant of the Fradkin representation which suggests a new non-perturbative 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

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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 14-18, 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