例句與造句

1. In the real numbers every Cauchy sequence converges to some limit.
2. In these cases, the concept of a Cauchy sequence is useful.
3. In metric spaces, one can define Cauchy sequences.
4. In a similar way one can define Cauchy sequences of rational or complex numbers.
5. Clearly, any sequence with a modulus of Cauchy convergence is a Cauchy sequence.
6. It's difficult to find cauchy sequence in a sentence. 用cauchy sequence造句挺難的
7. In a general metric space, however, a Cauchy sequence need not converge.
8. By definition, in a Hilbert space any Cauchy sequence converges to a limit.
9. The usual decimal notation can be translated to Cauchy sequences in a natural way.
10. Thus one may speak of uniform continuity, uniform convergence, and Cauchy sequences.
11. Cauchy completeness is related to the construction of the real numbers using Cauchy sequences.
12. Weakly Cauchy sequences in are weakly convergent, since-spaces are weakly sequentially complete.
13. Completeness can be proved in a similar way to the construction from the Cauchy sequences.
14. Every Cauchy sequence is bounded, although Cauchy nets or Cauchy filters may not be bounded.
15. This obviously defines two Cauchy sequences of rationals, and so we have real numbers and.
16. Instead of working with Cauchy sequences, one works with Cauchy filters ( or Cauchy nets ).
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