Traducción y análisis de palabras por inteligencia artificial
En esta página puede obtener un análisis detallado de una palabra o frase, producido utilizando la mejor tecnología de inteligencia artificial hasta la fecha:
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two-sided invariant mean - traducción al ruso
![''p''-value of [[chi-squared distribution]] for different number of degrees of freedom](https://commons.wikimedia.org/wiki/Special:FilePath/Chi-square distributionCDF-English.png?width=200 "''p''-value of [[chi-squared distribution]] for different number of degrees of freedom")
![A '''two-tailed test''' applied to the [[normal distribution]].](https://commons.wikimedia.org/wiki/Special:FilePath/DisNormal06.svg?width=200 "A '''two-tailed test''' applied to the [[normal distribution]].")
![[[Normal distribution]], showing two tails](https://commons.wikimedia.org/wiki/Special:FilePath/Standard deviation diagram.svg?width=200 "[[Normal distribution]], showing two tails")
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Wikipedia
In mathematics, an amenable group is a locally compact topological group G carrying a kind of averaging operation on bounded functions that is invariant under translation by group elements. The original definition, in terms of a finitely additive measure (or mean) on subsets of G, was introduced by John von Neumann in 1929 under the German name "messbar" ("measurable" in English) in response to the Banach–Tarski paradox. In 1949 Mahlon M. Day introduced the English translation "amenable", apparently as a pun on "mean".
The amenability property has a large number of equivalent formulations. In the field of analysis, the definition is in terms of linear functionals. An intuitive way to understand this version is that the support of the regular representation is the whole space of irreducible representations.
In discrete group theory, where G has the discrete topology, a simpler definition is used. In this setting, a group is amenable if one can say what proportion of G any given subset takes up.
If a group has a Følner sequence then it is automatically amenable.
