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Almost-everywhere

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for almost all $x$ (with respect to a measure $\mu$)

An expression indicating that one speaks about all $x$ of a measure space $X$ with the possible exception of some set $A\subseteq X$ of measure zero: $\mu(A)=0$.

How to Cite This Entry:
Almost-everywhere. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Almost-everywhere&oldid=31533
This article was adapted from an original article by V.I. Bityutskov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article