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Boundedness
Boundedness The term bounded appears in different parts ... finite arclength. In axiomatic set theory, the boundedness axiom is a closely related and equivalent ...
http://en.wikipedia.org/wiki/Boundedness - 2k - Cached - Similar pages
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Uniform boundedness
Uniform boundedness In mathematics, bounded functions are functions for ...
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Talk:Boundedness
Talk:Boundedness Moved from Bounded to Boundedness so that the page title would be ... would indeed link to bounded rather than boundedness, and the boundedness noun sounds kind of clumsy and artificial ... among the pages that link directly to Boundedness; another (almost) example is on the ...
http://en.wikipedia.org/wiki/Talk:Boundedness - 16k - Cached - Similar pages
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Local boundedness
Local boundedness In mathematics, a function is locally bounded ...
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Uniform boundedness principle
Uniform boundedness principle In mathematics, the uniform boundedness principle or Banach-Steinhaus Theorem is one ... whose domain is a Banach space, pointwise boundedness is equivalent to boundedness. The theorem was first published in 1927 ... also proven independently by Hans Hahn. Uniform boundedness principle More precisely, let |
Talk:Uniform boundedness
Talk:Uniform boundedness This article is nice as far as ...
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Talk:Uniform boundedness principle
Talk:Uniform boundedness principle What the hell?! -- JensMueller The orginal ...
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Multiplier (Fourier analysis)
... math> space. See the discussion on the "boundedness problem" below. As a bare minimum, one ... and measurable; this is sufficient to establish boundedness on but is ... in general not strong enough to give boundedness on other spaces. One can view the ... math> again assuming sufficiently strong regularity and boundedness assumptions on the symbol and function. In ... the specific sense of the problem of boundedness in discussed ...
http://en.wikipedia.org/wiki/Multiplier_(Fourier_analysis) - 33k - Cached - Similar pages
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Totally bounded space
... There is a nice relationship between total boundedness and compactness: A space is compact if ... spaces to arbitrary spaces: we must replace boundedness with total boundedness (and also replace closedness with completeness). There is a complementary relationship between total boundedness and the process of Cauchy completion: A ... taken as an alternative definition of total boundedness. Alternatively, this may be taken as ...
http://en.wikipedia.org/wiki/Totally_bounded_space - 13k - Cached - Similar pages
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Extreme value theorem
... weaker version of this theorem is the boundedness theorem which states that a function f ... math> The extreme value theorem enriches the boundedness theorem by saying that not only is ... the real numbers. We first prove the boundedness theorem, which is a step in the ... extrem value theorem are: 1. Prove the boundedness theorem. 2. Find a sequence so that ... converges to the supremum. Proof of the boundedness theorem Suppose f is not bounded. ...
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