Sanakirja
Tekoälykääntäjä

Käännöksiä ei löytynyt valitulle kohdekielelle.

Yritit hakea fraasilla, joka sisältää useita sanoja. Parempien hakutulosten saamiseksi kokeile hakea sanoja erikseen: Cauchy, sequence

Samankaltaisia sanoja

Määritelmät

Substantiivit

  1. (analysis) A sequence in a normed vector space such that the difference between any two entries can be made arbitrarily small by stipulating that the two entries be sufficiently far out in the sequence.
  2. (analysis) A sequence x_n in a metric space with metric d such that for every ε > 0 there exists a natural number N so that for every k, m \ge N : d(x_k, x_m) < ε .

Esimerkit

  • \lim_{n,m→ ∞} \|x_n-x_m\|=0
  • In the case of the real line, every Cauchy sequence converges; that is, being a Cauchy sequence is sufficient to guarantee the existence of a limit. In the general case, however, this is not so. If a metric space does have the property that every Cauchy sequence converges, the space is called a complete metric space.

Taivutusmuodot

MonikkoCauchy sequences

Luokat