Description:
Mathematical discussions and pursuits.
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algebra and analysis
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The complex numbers are algebraically complete. And complex analysis has nice theorems that real analysis doesn't have: like, if a function is differentiable once, it's differentiable infinitely many times. Are those two things related? Is something similar true for p-adic analysis - does analysis over the... more »
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full recovery proves p = np by eof
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Author: mikemccand ...New Revision: 486579 URL: [link] Log: LUCENE-738: regenerating web site docs Modified: lucene/java/trunk/docs/filefor mats.html lucene/java/trunk/docs/filefor mats.pdf Modified: lucene/java/trunk/docs/filefor mats.html URL: [link]... more »
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Trying to understand D_n in two dimensions
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In the dihedral group of order n where n is greater than or equal to 3 there are two general cases, n is odd or n is even In both cases n mappings from D to itself exist as rotations of (2*pi)/ n When n is odd there are also n mappings that exist as what I visualize as "flips" (a rotation of pi radians about a vertex). In terms of... more »
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Question on bounded variation functions
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Hello All, The well-known definition of bounded variation functions is about their behavior on closed intervals. To say, "The total variation of real-valued function f, defined on an interval [a, b] belongs to R is the quantity V_a_b_(f) = sup(sum(|f(x_i +1) - f(x_i)|)) of all partitions of the interval considered", (etc.)... more »
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Infinity has no base
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And of course for finites there are no exponentials that of which are multiples of multiplication. Mitch Raemsch
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