Cauchy sequence

Meaning

Noun

• Any sequence $x\_n$ in a metric space with metric d such that for every $\backslash epsilon\; >\; 0$ there exists a natural number N such that for all $k,\; m\; \backslash ge\; N$, .

Origin

• Named after French mathematician Augustin-Louis Cauchy (1789–1857), who made pioneering contributions to analysis.