approximation theory

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• Approximation theory — In mathematics, approximation theory is concerned with how functions can best be approximated with simpler functions, and with quantitatively characterizing the errors introduced thereby. Note that what is meant by best and simpler will depend on …   Wikipedia

• Approximation theory/Proofs — Proof that an N th degree polynomial that gives rise to an error function that has N + 2 maxima, of alternating signs and equal magnitudes, is optimal in the sense of approximation theory. Such an optimal polynomial gives the minimum value, over… …   Wikipedia

• Journal of Approximation Theory — Infobox Journal title = Journal of Approximation Theory discipline = mathematics abbreviation = J. Approx. Theory publisher = Elsevier country = U.S. ISSN = 0021 9045 CODEN = JAXTAZ history = 1968 to present website = http://www.math.ohio… …   Wikipedia

• Approximation — (lat.: proximus, „der Nächste“) ist zunächst ein Synonym für Näherung; der Begriff wird in der Mathematik allerdings noch präzisiert. Es gibt vor allem zwei Gründe in der Mathematik, Näherungen zu untersuchen: Einmal könnte das Objekt des… …   Deutsch Wikipedia

• Approximation — An approximation (represented by the symbol ≈) is an inexact representation of something that is still close enough to be useful. Although approximation is most often applied to numbers, it is also frequently applied to such things as… …   Wikipedia

• Approximation de Bernstein — En analyse, l approximation de Bernstein est une méthode d approximation polynomiale, permettant d approcher uniformément une fonction continue f définie sur l intervalle [0,1] par une suite de combinaisons linéaires des polynômes de Bernstein.… …   Wikipédia en Français

• Approximation in algebraic groups — In mathematics, strong approximation in linear algebraic groups is an important arithmetic property of matrix groups. In rough terms, it explains to what extent there can be an extension of the Chinese remainder theorem to various kinds of… …   Wikipedia

• Theory — The word theory has many distinct meanings in different fields of knowledge, depending on their methodologies and the context of discussion.In science a theory is a testable model of the manner of interaction of a set of natural phenomena,… …   Wikipedia

• Theory of incomplete measurements — The Theory of Incomplete Measurements (TIM) is an attempt to unify Quantum Mechanics and General Relativity by focusing on physical measurement processes. In that theory, general relativity is a continuous approximation of discrete measurements,… …   Wikipedia

• Approximation der Eins — Eine Approximation der Eins ist ein Begriff aus der mathematischen Theorie der Banachalgebren. Viele für Anwendungen wichtige Banachalgebren haben kein Einselement. Eine Adjunktion eines Einselement wäre in der Regel ein unnatürliches Vorgehen.… …   Deutsch Wikipedia

• Approximation algorithm — In computer science and operations research, approximation algorithms are algorithms used to find approximate solutions to optimization problems. Approximation algorithms are often associated with NP hard problems; since it is unlikely that there …   Wikipedia