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