Cauchy sequence (Engelsk)
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Definition
A sequence xn with the property that for any ε > 0, there is a natural number N such that |xn − xm | < ε for all m,n > N.
Definition
A sequence (xn) with the property that
where d is the distance function on the metric space in which the sequence lies.
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Relations
- bredere:
- (en) Sequence
- reference:
- (en) Cauchy
- (en) Cauchy convergence test
- (en) Complete
Støttet af: