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...

In the field of machine learning, the universal approximation theorems state that neural networks with a certain structure can, in principle, approximate...

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

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...

of eigenvalue theory began with the paper (Fichera 1955b), where he formalizes a method developed by Mauro Picone for the approximation of eigenvalues...

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

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

special functions, numerical analysis, approximation theory and other related subjects mathematical analysis, theory of elliptic partial differential equations...

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

authored more than 60 papers, mainly in the areas of real analysis, approximation theory and partial differential equations, according to Tricomi (1962)....

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

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

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...

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

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

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)|}...

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

mathematician, who made major contributions to the Approximation theory. The modern Complex Approximation Theory is based on Mergelyan's classical work. Corresponding...

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...

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

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

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

In physics, a gauge theory is a type of field theory in which the Lagrangian, and hence the dynamics of the system itself, does not change under local...

In number theory, Dirichlet's theorem on Diophantine approximation, also called Dirichlet's approximation theorem, states that for any real numbers α...

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

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

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

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

discrete mathematics, graph theory, number theory, mathematical analysis, approximation theory, set theory, and probability theory. Much of his work centered...