Description:
Mathematical discussions and pursuits.
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Co-Compositeness (a game)
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This is a game for any number of players. Start with an n-by-n grid, where n is larger if there are more players. (I suggest an n of at least 16 if there are 2 players.) The first player to move places a 1 in any of the grid's squares. Players take turns placing numbers in the grid's squares as follows:... more »
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Descarta2D (Exploring Analytic Geometry with Mathematica), Version 7
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The Mathematica add-on package, Descarta2D, has been certified to be compatible with Mathematica Version 7 (previously certified for Versions 3-6). The entire textbook "Exploring Analytic Geometry with Mathematica" (including the user manual for Descarta2D) is available for free viewing and download at [link] (both PDF and on-... more »
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t.v.s
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Hi let g be a topological vector space . is it true that pi_2(g)=0. why ?
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obtaining a numerical evaluation of log(2) with mathematica
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Hi everyone, I would like to obtain the numerical value of, say, log(2) using mathematica. But when I write Ln[2], mathematica returns Ln[2]. I also tried the following without success. In[24]:= approximate[Ln[2]] Out[24]= approximate[Ln[2]] What should I do? I appreciate your help and pointers.
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Known integer sequence for series?
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Hi all, can someone tell me if there exists an integer sequence for the following series : I + x + 1/10*I*x^2 - 9/200*I*x^4 + 57/2000*I*x^6 - 1653/80000*I*x^8 + 64467/4000000*I*x^10 - 1052961/80000000*I*x^12 + 8874957/800000000*I*x^14 - 612372033/64000000000*I*x^16 + 5375265623/640000000000*I*x^18 - 478398640447/64000000000000*I* x^20 +... more »
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Yang Mills Paper, Draft of Complete Part I
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I have posted below, a current draft of the Yang Mills paper on which I am presently working: [link] This draft is complete, through the development and integration by parts of a full, Yang-Mills action. This is something of a breakpoint in my... more »
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Covariant and Contravariant
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Hello, all, and while I understand the math behind and use of the above in vector analysis, I can't figure out why vector components are labeled as such. The fact that a vector in space can be represented in space in two ways (via the metric tensor) as either with "contravariant" components and one... more »
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