Assertion: sequence | /r/HasProperty | cauchy
Facets:
value: for k
type: TRANSITIVE-OBJECT
value: for every infinite h
type: OTHER
Source sentences:
text: The sequence is Cauchy if and only if for every infinite H and K, the values u H {\displaystyle u_{H}} and u K {\displaystyle u_{K}} are infinitely close, or adequal, i.e.
text: Then a sequence ( x n ) {\displaystyle (x_{n})} in G {\displaystyle G} is said to be Cauchy (w.r.t.
text: This relation is an equivalence relation: It is reflexive since the sequences are Cauchy sequences.