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An operator representing the multiplication or product of a sequence of terms, analogous to summation in multiplicative contexts.

\prod image

Examples

Product of sequence elements

\prod_{i=1}^{n} i = n!

Product of algebraic terms

\prod_{k=1}^{3} (x + k) = (x + 1)(x + 2)(x + 3)

Product of probabilities for independent events

P(A \cap B \cap C) = \prod_{i=1}^{3} P(X_i) = P(A) \cdot P(B) \cdot P(C)