英文字典中文字典


英文字典中文字典51ZiDian.com



中文字典辞典   英文字典 a   b   c   d   e   f   g   h   i   j   k   l   m   n   o   p   q   r   s   t   u   v   w   x   y   z       







请输入英文单字，中文词皆可：

compactness    音标拼音: [kəmp'æktnəs]
紧密度

紧密度

compactness
紧致性

安装中文字典英文字典查询工具!


中文字典英文字典工具:
选择颜色:
输入中英文单字

































































英文字典中文字典相关资料:


  • How to understand compactness? - Mathematics Stack Exchange
    Compactness extends local stuff to global stuff because it's easy to make something satisfy finitely many restraints- this is good for bounds Connectedness relies on the fact that ``clopen'' properties should be global properties, and usually the closed' part is easy, whereas the open' part is the local thing we're used to checking
  • Why is compactness so important? - Mathematics Stack Exchange
    As many have said, compactness is sort of a topological generalization of finiteness And this is true in a deep sense, because topology deals with open sets, and this means that we often "care about how something behaves on an open set", and for compact spaces this means that there are only finitely many possible behaviors But why finiteness is important? Well, finiteness allows us to
  • What should be the intuition when working with compactness?
    Also when trying to disprove compactness the books I've read start presenting strange covers that I would have never thought about I think my real problem is that I didn't yet get the intuition on compactness So, what intuition should we have about compact sets in general and how should we really put this definition to use?
  • Compactness and sequential compactness in metric spaces
    Compactness and sequential compactness in metric spaces Ask Question Asked 11 years, 10 months ago Modified 7 years, 3 months ago
  • general topology - Why do we define compactness the way we do . . .
    But unfortunately outside of the metric world, this definition of compactness is not equivalent to sequential compactness (in fact neither implies the other) Comparing the two definitions mathematicians came to conclusion that the "open cover" definition is actually more useful and hence it became the standard one It is a more intuitive
  • general topology - Difference between completeness and compactness . . .
    Difference between completeness and compactness Ask Question Asked 10 years, 3 months ago Modified 10 years, 3 months ago
  • compactness - Proof that Compact set is Closed and Bounded . . .
    I came across the following problem while reading Spivak's Calculus on Manifolds Prove that a compact subset of $\\mathbb{R}^n$ is closed and bounded The definition of an open set in the book is
  • What is Compactness and why is it useful? [closed]
    The wiki definiton defines a compactness of an interval as closed and bounded In mathematics, specifically general topology, compactness is a property that generalizes the notion of a subset of Euclidean space being closed (containing all its limit points) and bounded (having all its points lie within some fixed distance of each other)
  • Prove the compactness theorem for Radon measures by using Banach . . .
    I was reading the proof of the compactness theorem for Radon measures (Theorem 1 5 15) from Leon Simon's book: Geometric Measure Theory I was confused by the highlighted part





中文字典-英文字典  2005-2009