$\textbf{Almost everywhere}$
Let $(X,\mathscr{A},\mu)$ be a measure space. A property $P$ is said to hold almost everywhere in $X$ if there exists a set $N\in \mathscr{A}$ with $\mu(N)=0$, and all $x\in X\setminus N$ have the property $P$.
$\textbf{Almost everywhere}$
Let $(X,\mathscr{A},\mu)$ be a measure space. A property $P$ is said to hold almost everywhere in $X$ if there exists a set $N\in \mathscr{A}$ with $\mu(N)=0$, and all $x\in X\setminus N$ have the property $P$.
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𝐀𝐥𝐦𝐨𝐬𝐭 𝐞𝐯𝐞𝐫𝐲𝐰𝐡𝐞𝐫𝐞
Let (𝑋,𝒜,𝜇) be a measure space. A property 𝑃 is said to hold almost everywhere in 𝑋 if there exists a set 𝑁∈𝒜 with 𝜇(𝑁)=0, and all 𝑥∈𝑋∖𝑁 have the property 𝑃.