\doublecap - LaTeX Symbol

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⋒

\doublecap

The \doublecap operator is used to denote the intersection of multiple sets or collections. It is often used in mathematical contexts where the intersection of several sets is being considered, particularly in set theory and related fields.

Examples

A ⋒ B ⋒ C

Intersection of three sets A, B, and C.

A \doublecap B \doublecap C

i = 1 ⋂ n A_{i} = A_{1} ⋒ A_{2} ⋒ \dots ⋒ A_{n}

Intersection of a sequence of sets from A_1 to A_n.

\bigcap_{i=1}^{n} A_i = A_1 \doublecap A_2 \doublecap \ldots \doublecap A_n

X ⋒ Y = {x ∣ x \in X and x \in Y}

Intersection of sets X and Y, defined by the elements common to both sets.

X \doublecap Y = \{ x \mid x \in X \text{ and } x \in Y \}