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Search "Dedekind cut"


Dedekind cut

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Dedekind Cut Summary
661 words, approx. 2 pages
Real analysis, which studies the theoretical foundations of the calculus of real-valued functions, depends upon an accurately defined real number concept. Such a precise definition eluded mathematicians from the time ofPythagoras (c.560-c.480BC) to the...
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Dedekind cut Information
1,168 words, approx. 4 pages
In mathematics, a Dedekind cut, named after Richard Dedekind, in a totally ordered set S is a partition of it, (A, B), such that A is closed downwards (meaning that for all a in A, x ≤ a implies that x is in A as well) and B is closed upwards, and A...


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Dedekind cut

Print-Friendly
About 6 pages (1,829 words) in 2 products




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