Cauchy

This disambiguation page lists articles associated with the same title.

Cauchy may refer to

Augustin-Louis Cauchy [r]: (1789 – 1857) prominent French mathematician, one of the pioneers of rigor in mathematics and complex analysis. ^[e]
Cauchy sequence [r]: Sequence in which the distance between two elements becomes smaller and smaller. ^[e]
Cauchy-Schwarz inequality [r]: The inequality $\textstyle (\sum_i x_i y_i)^2 \le (\sum_i x_i^2) (\sum_i y_i^2)$ or its generalization |⟨x,y⟩| ≤ ||x|| ||y||. ^[e]
Cauchy moment [r]: A Cauchy moment of order k is the factor of ω^2k in the expansion of the frequency-dependent polarizability α(ω) in even powers of frequency ω. ^[e]