# Cauchy-Schwarz inequality

Definition from Wiktionary, the free dictionary

## English[edit]

### Etymology[edit]

Named after Augustin-Louis Cauchy and Hermann Amandus Schwarz.

### Noun[edit]

**Cauchy-Schwarz inequality** (*plural* **Cauchy-Schwarz inequalities**)

- (linear algebra, 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.