In mathematics, approximation theory is concerned with how functions can best be approximated with simpler functions, and with quantitatively characterizing...

An approximation is anything that is intentionally similar but not exactly equal to something else. The word approximation is derived from Latin approximatus...

useful approximation for a few terms, but at some point becomes less accurate if even more terms are added. The breakthrough from chaos theory was an...

Journal of Approximation Theory is "devoted to advances in pure and applied approximation theory and related areas." "Journal of Approximation Theory - Elsevier"...

Bragg–Williams approximation, models on Bethe lattice, Landau theory, Curie-Weiss law for magnetic susceptibility, Flory–Huggins solution theory, and Scheutjens–Fleer...

algorithms achieved the best possible approximation ratio. Hardness of approximation theory deals with studying the approximation threshold of such problems. For...

In mathematical analysis, the Weierstrass approximation theorem states that every continuous function defined on a closed interval [a, b] can be uniformly...

In the mathematical theory of artificial neural networks, universal approximation theorems are theorems of the following form: Given a family of neural...

In number theory, the study of Diophantine approximation deals with the approximation of real numbers by rational numbers. It is named after Diophantus...

needed] two major classes of function approximation problems: First, for known target functions approximation theory is the branch of numerical analysis...

In computer science and operations research, approximation algorithms are efficient algorithms that find approximate solutions to optimization problems...

differential equations, differential geometry, probability theory, and approximation theory. Bernstein was born into the Jewish family of prominent Ukrainian...

statistics, however. Non-asymptotic bounds are provided by methods of approximation theory. Examples of applications are the following. In applied mathematics...

Diophantine approximation and transcendental number theory, though for sharp results ad hoc methods—in some sense inspired by the Padé theory—typically...

Automata theory is the study of abstract machines and automata, as well as the computational problems that can be solved using them. It is a theory in theoretical...

In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called...

Mathematics: Approximation theory — Arakelov theory — Asymptotic theory — Bifurcation theory — Catastrophe theory — Category theory — Chaos theory — Choquet...

Probability theory or probability calculus is the branch of mathematics concerned with probability. Although there are several different probability interpretations...

mathematical theories. Almgren–Pitts min-max theory Approximation theory Arakelov theory Asymptotic theory Automata theory Bass–Serre theory Bifurcation theory Braid...

Coding theory is the study of the properties of codes and their respective fitness for specific applications. Codes are used for data compression, cryptography...

Generally in scattering theory and in particular in quantum mechanics, the Born approximation consists of taking the incident field in place of the total...

calculations in quantum chemistry until the 1990s, when the approximations used in the theory were greatly refined to better model the exchange and correlation...

is an iterative algorithm used to find simple approximations to functions, specifically, approximations by functions in a Chebyshev space that are the...

In approximation theory, Bernstein's theorem is a converse to Jackson's theorem. The first results of this type were proved by Sergei Bernstein in 1912...

Research Italian network on Approximation, and responsible for the Unione Matematica Italiana Thematic Group on "Approximation Theory and Applications (A.T...

mathematics, Stirling's approximation (or Stirling's formula) is an asymptotic approximation for factorials. It is a good approximation, leading to accurate...

In quantum mechanics, perturbation theory is a set of approximation schemes directly related to mathematical perturbation for describing a complicated...

disk. It was proven by Sergei Bernstein while he was working on approximation theory. Let max | z | = 1 | f ( z ) | {\displaystyle \max _{|z|=1}|f(z)|}...

pioneers in the fields of approximation theory and numerical analysis. His 1966 book, An Introduction to Approximation Theory, remains in print and is...

In graph theory, an independent set, stable set, coclique or anticlique is a set of vertices in a graph, no two of which are adjacent. That is, it is a...