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I came across this symbol $(\bigcap)$ and I do not know what it means. I have tried to check this list but I haven't gotten any clue. I am well aware that the small $\cap$ denotes intersection in set theory. I have checked all similar questions with "What does this symbol mean" but I haven't seen an answer yet.

The symbol $(\bigcap)$ is used in a context like this

$$\big(\bigcap_{i=1}^{n} A_{ci}^{(i)} > B\big)\cap \big(\bigcap_{i=0}^{n-1} A_c^{(i)} < B\big) $$ where $A_{ci}^{(i)} > B$ and $A_c^{(i)} < B$ are events.

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1 Answer

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$\displaystyle\bigcap_{i=1}^n A_i$ means $A_1\cap A_2\cap A_3\cap \cdots \cap A_n,$ which is the intersection of the sets $A_1,\ldots,A_n.$

An object is a member of this set if, and only if, it is a member of every one of the sets $A_1,\ldots,A_n.$

In probability, an "event" is a set of outcomes. To say an outcome is a member of the intersection of several events is to say that it is a member of every one of them; in other words every one of those events occurs.

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