Schwarz inequality

Schwarz inequality

noun Mathematics.
1.
Also called Cauchy's inequality. the theorem that the inner product of two vectors is less than or equal to the product of the magnitudes of the vectors.
2.
Also called Cauchy-Schwarz inequality. the theorem that the square of the integral of the product of two functions is less than or equal to the product of the integrals of the square of each function.

Origin:
1950–55; named after H. A. Schwarz
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2012.
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Schwarz inequality is always a great word to know.
So is difference. Does it mean:
a relation between two sets in which one element of the second set is assigned to each element of the first set, the operator
the amount by which one quantity is greater or less than another
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