Dirac measure
= Dirac measure
{c}
{title2=$\delta_x$}
{wiki}
The Dirac <probability measure> at $x$ satisfies $\delta_x(A)=1$ if $x\in A$ and zero otherwise. Its <pushforward measure> under a measurable map $T$ is $T_\#\delta_x=\delta_{T(x)}$.
= Dirac measure
{c}
{title2=$\delta_x$}
{wiki}
The Dirac <probability measure> at $x$ satisfies $\delta_x(A)=1$ if $x\in A$ and zero otherwise. Its <pushforward measure> under a measurable map $T$ is $T_\#\delta_x=\delta_{T(x)}$.