[Math] What does this notation |_| mean

abstract-algebraelementary-set-theorynotation

I don't know what it is even called so I cannot really type it out properly, sorry.
I've seen things like $X$|_|$[0,1)$. The symbol in question looks like $\cup$ but without curvy, round bits, its like the bottom half of a square.

I don't know how else to describe it and it look bizarre.

Can anyone tell me? Thank you

Best Answer

$A\sqcup B$ is just $A\cup B$, but it gives the information that $A$ and $B$ are disjoint, i.e. $A\cap B=\emptyset$.

In probability theory, this notation can also be used for independence. For example, $X\sqcup Y$ means that the random variables $X$ and $Y$ are independent.

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