(linear algebra, mathematical analysis) A theorem which states that the absolute value of the dot product between two vectors is less than or equal to the product of the magnitudes of the two vectors.

The fact that the arithmetic mean of nonnegative numbers is not less than their geometric mean, and is more if some of the numbers are distinct.

plural of Cauchy-Schwarz inequality

(mathematics) An upper bound on the variance of any bounded probability distribution on the real line.