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In [[mathematics]], '''strong convergence''' may refer to: * The strong [[convergence of random variables]] of a [[probability distribution]]. ...

In [[mathematics]], '''weak convergence''' may refer to: * Weak [[convergence of random variables]] of a probability distribution ...

...'''conditionally convergent''' if it converges, but it does not [[Absolute convergence|converge absolutely]]. ...h>\ln (2)</math>, but is not absolutely convergent (see [[Harmonic series (mathematics)|Harmonic series]]). ...

{{wiktionary|convergence|converges|converging}} '''Convergence''' may refer to: ...

In [[mathematics]], a '''subsequential limit''' of a [[sequence]] is the [[Limit of a sequen ...of [[Pointwise convergence#Almost everywhere convergence|almost everywhere convergence]]. ...

==Mathematics and physics== {{anchor|Mathematics}} ...

{{Short description|Order-independent convergence of a sequence}} ...to that same value. Unconditional convergence is equivalent to [[absolute convergence]] in [[Dimension (vector space)|finite-dimensional]] [[vector space]]s, but ...

...''' ('''Gamma-convergence''') is a notion of convergence for [[Functional (mathematics)|functionals]]. It was introduced by [[Ennio De Giorgi]]. ...definition can be characterized in terms of sequential <math>\Gamma</math>-convergence in the following way. ...

...y well-behaved can be represented as the distribution/law of a [[pointwise convergence|pointwise convergent]] sequence of [[random variable]]s defined on a common ...asures on a [[metric space]] <math>S</math> such that <math>\mu_n</math> [[convergence in distribution|converges weakly]] to some probability measure <math>\mu_\i ...

* ''p''-series, a [[convergence tests#p-series test|convergence test]] in mathematics ...

* the [[integral test for convergence]], sometimes known as the ''Maclaurin–Cauchy test'' [[Category:Mathematics disambiguation pages]] ...

In [[mathematics]], '''Carathéodory's theorem''' may refer to one of a number of results of ...odory's criterion]], a necessary and sufficient condition for a [[Measure (mathematics)|measurable set]] ...

*[[Dirichlet's test]] for convergence [[Category:Mathematics disambiguation pages]] ...

...|url=https://hsm.stackexchange.com/a/2861 |website=History of Science and Mathematics |publisher=[[StackExchange]] |access-date=10 September 2021}}</ref> ...cation=New York, NY |isbn=978-0-387-21506-8 |series=Undergraduate Texts in Mathematics |page=63}}</ref> ...

* [[Limit (mathematics)]] * [[Convergence (disambiguation)]] ...

==In mathematics== *[[Monotone convergence theorem]], in mathematics ...

...ibution|weak convergence]] of [[cumulative distribution function]]s to the convergence of [[expected value|expectation]]s of certain [[measurable function]]s. It ...1</sub>, ''P''₂, ... be [[probability measure]]s on some [[Set (mathematics)|set]] ''S''. Then ''P''_''n'' converges weakly to ''P'' [[if an ...

{{Short description|A notion of convergence in mathematics}} ...hematics)|converge]] to a particular function. It is weaker than [[uniform convergence]], to which it is often compared.<ref>{{cite book|last=Rudin|first=Walter|a ...

== Mathematics, science and engineering == * [[Harmonic (mathematics)]], a number of concepts in mathematics ...

In mathematics, a '''formal sum''', '''formal series''', or '''formal linear combination'' *In the study of [[series (mathematics)]], a sum of an infinite sequence of numbers or other quantities, considere ...