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==Mathematics== *[[Fourier inversion theorem]], any one of several theorems by which Fourier inversion recovers a function from its Fourier transform ...

{{Short description|1=Overview of and topical guide to discrete mathematics}} ...cs}}</ref> Discrete mathematics, therefore, excludes topics in "continuous mathematics" such as [[calculus]] and [[Mathematical analysis|analysis]]. ...

...ic number]] of a [[Graph (discrete mathematics)|graph]] (or [[hypergraph]] in general). The original reference for this paper is unknown at the moment, ...transitive]]'' if given any two elements <math>x</math> and <math>y</math> in <math>S</math>, there exists an element <math>f</math> of <math>G</math> su ...

{{short description|Characterizes sets of lattices that are bounded in a certain sense}} ...nvention used in naming compactness theorems, because they were formulated in terms of [[sequential compactness]] (the possibility of selecting a converg ...

...generally, [[algebraic curve]]s, ''X'' and ''Y'', in the case of [[genus (mathematics)|genus]] ''g'' > 1. The simplest is that the [[automorphism]] group of ''X' ...renced as the De Franchis-[[Francesco Severi|Severi]] theorem. It was used in an important way by [[Gerd Faltings]] to prove the [[Mordell conjecture]]. ...

...oups of finite [[index of a subgroup|index]], so that the [[discrete space|discrete]] quotient group is always finite. ...a pro-''p'' group to be the [[inverse limit]] of an [[inverse system]] of discrete finite ''p''-groups. ...

{{Short description|Theorem in combinatorics}} ...[Latin squares]], proposed in 1979 by [[Jeff Dinitz]],{{r|ert}} and proved in 1994 by [[Fred Galvin]].{{r|g|z}} ...

...ory)#Submartingales and supermartingales|submartingale]] may be decomposed in a unique way as the sum of a [[Martingale (probability theory)|martingale] ...as the Doob-Meyer decomposition.<ref>Meyer 1962</ref><ref>Meyer 1963</ref> In honor of Doob, Meyer used the term "class D" to refer to the class of super ...

{{short description|One of several theorems in different areas of mathematics}} ...ry]], '''Schur's theorem''' is a theorem of [[:de:Axel Schur|Axel Schur]]. In [[functional analysis]], '''Schur's theorem''' is often called [[Schur's pr ...

...valuations and quadratic forms | series=CBMS Regional Conference Series in Mathematics | volume=52 | publisher=[[American Mathematical Society]] | year=1983 | isb ...am |title=A first course in noncommutative rings |series=Graduate Texts in Mathematics|volume=131 |edition=2nd |publisher=Springer-Verlag |place=New York |year=20 ...

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

...sher=[[Pearson PLC|Pearson]]|page=119|edition=second}}</ref> ''Metrization theorems'' are [[theorem]]s that give [[sufficient condition]]s for a topological sp ==Metrization theorems== ...

{{Short description|In mathematics, a concept that formalizes a certain idea of movement and mixing}} ...g sets in phase space was introduced by [[George David Birkhoff|Birkhoff]] in 1927.{{citation needed|date=November 2010}} ...

...athbb{H}^3 / \Gamma</math> where <math>\Gamma</math> is a [[discrete group|discrete subgroup]] of PSL(2,'''C'''). Here, the subgroup <math>\Gamma</math>, a [[K ...f a group action of a Kleinian group on the space. A Kleinian group is any discrete subgroup, consisting only of [[Isolated point|isolated points]], of orienta ...

The '''simple theorems in the algebra of sets''' are some of the elementary properties of the [[algeb ...'''U''' and denoted ''P''('''U'''). ''P''('''U''') is assumed [[closure (mathematics)|closed]] under union, intersection, and set complement. The algebra of set ...

...[symmetry in physics|solution symmetries]], and fundamental identities and theorems of vector and tensor calculus like the [[divergence theorem]].<ref>{{Citati ...flowing fluid. <!--there are analogies with heat conduction and elastics in mechanics, but i forget what they are offhand--> ...

...the theme of ''classical'' discrepancy theory, namely distributing points in some space such that they are evenly distributed with respect to some (most ...n be described as the study of inevitable irregularities of distributions, in [[Measure theory|measure-theoretic]] and [[Combinatorics|combinatorial]] se ...

...ery [[Singleton (mathematics)|singleton subset]] is an [[open set]] in the discrete topology. ...{visible anchor|discrete topological space}}''' if it is equipped with its discrete topology; ...

{{Short description|Modern reformulation of the calculus in terms of infinitesimals}} ...uous]] and incapable of being expressed in terms of [[Discrete mathematics|discrete]] entities. As a theory, it is a subset of [[synthetic differential geomet ...

...can be [[Replicating strategy|replicated]]. Though this property is common in models, it is not always considered desirable or realistic.<ref name=Pasc / ==Discrete markets== ...