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sequential compactness造句

"sequential compactness"是什么意思   

例句与造句

  1. More popular in the 19th and early 20th centuries was the Bolzano Weierstrass criterion that every sequence admits a convergent subsequence, now called sequential compactness.
  2. Sequential compactness of " B " in this metric can be shown by a diagonalization argument similar to the one employed in the proof of the Arzel? Ascoli theorem.
  3. So it is natural to hope that a suitable notion of convergence in arbitrary spaces will lead to a compactness criterion generalizing sequential compactness in metrizable spaces that will be as easily applied to deduce the compactness of products.
  4. These metric spaces have some nice properties like : in a metric space compactness, sequential compactness and countable compactness are equivalent etc . These properties may not, however, hold so easily if the distance function is taken in an arbitrary ordered field, instead of in \ scriptstyle \ mathbb R.
  5. It's difficult to find sequential compactness in a sentence. 用sequential compactness造句挺难的

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