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{{Short description|1969 result in deformation theory}} ...tion theory]] which implies that [[formal power series]] with coefficients in a [[field (mathematics)|field]] ''k'' are well-approximated by the [[algebr ...

{{short description|Basic result of approximation theory}} ...ximation]] can have holes dug into it, by restricting certain coefficients in the polynomials to be zero. The form of the result had been conjectured by ...

...ian SSR|Armenian]] [[mathematician]] [[Sergey Mergelyan|Sergei Mergelyan]] in 1951. | title = Mergelyan's and Arakelian's theorems for manifold-valued maps ...

...t-factor approximation algorithms''' for short). In simple terms, problems in this class have efficient [[algorithm]]s that can find an answer within som ...has a smaller score, <math>f(n)</math> is sometimes stated as less than 1; in such cases, the reciprocal of <math>f(n)</math> is the ratio of the score o ...

In [[probability theory]], '''Le Cam's theorem''', named after [[Lucien Le Cam]], states the follow ...son distribution]] and the above inequality bounds the approximation error in terms of the [[Total variation distance of probability measures|total varia ...

In [[mathematics]], the '''simplicial approximation theorem''' is a foundational result for [[algebraic topology]], guaranteein ...n general compatible with the [[pathological (mathematics)|pathological]], in some other areas. This initiated, one could say, the era of [[combinatorial ...

{{Short description|Theory of irregularities of distribution}} ...the theme of ''classical'' discrepancy theory, namely distributing points in some space such that they are evenly distributed with respect to some (most ...

In [[Economics]], the '''Fisher separation theorem''' asserts that the primary ...ory of Interest'' (1930); particularly in the "second approximation to the theory of interest" ([http://www.econlib.org/library/YPDBooks/Fisher/fshToI6.html# ...

In algebraic group theory, '''approximation theorems''' are an extension of the [[Chinese remainder theorem]] to [[algebraic gro {{harvtxt|Eichler|1938}} proved strong approximation for some classical groups. ...

...ute of Physics and Technology|MIPT]], at the age of 100. He died in Moscow in November 2012 at the age of 107. ...fferential equations]]. He created a large scientific school of functions' theory and its applications. He authored over 100 scientific publications, includi ...

{{short description|Concept in number theory}} ...hlet's theorem on Diophantine approximation''', also called '''Dirichlet's approximation theorem''', states that for any [[real numbers]] <math> \alpha </math> and ...

{{seealso|Universal approximation theorem}} In [[mathematics]], a '''representation theorem''' is a [[theorem]] that state ...

{{Short description|Statement in probability theory}} In [[probability theory]], '''Donsker's theorem''' (also known as '''Donsker's invariance principle ...

In [[mathematics]], '''Siegel's theorem on integral points''' states that a cu ...f the equations. For ''g'' > 1 it was superseded by [[Faltings's theorem]] in 1983. ...

...atics, including [[number theory]] and [[applied mathematics]]; as well as in [[physics]], including [[hydrodynamics]], [[thermodynamics]], and [[electri * [[Residue theory]] ...

...vs|txt|authorlink=Arnaud Denjoy|last=Denjoy|year=1932}} proved the theorem in the course of his topological classification of [[homeomorphism]]s of the c ...set of full [[Lebesgue measure]], namely, for those that are [[diophantine approximation|badly approximable]] by rational numbers. His results are even more general ...

...al results factored out of proofs). See also [[list of axioms]], [[list of theorems]] and [[list of conjectures]]. {{Main category|Lemmas in algebra}} ...

* [[Spectral theorem]], [[Spectral theory]] ==[[Operator theory]]== ...

{{For|other theorems named after Axel Thue|Thue's theorem (disambiguation)}} In [[mathematics]], a '''Thue equation''' is a [[Diophantine equation]] of the ...

In [[mathematics]], the '''equidistribution theorem''' is the statement that t While this theorem was proved in 1909 and 1910 separately by [[Hermann Weyl]], [[Wacław Sierpiński]] and [[P ...