Description :
Discussion of current mathematical research. (Moderated)
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minimum height of a 0-1 simplex
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What is the minimum height of a full dimensional n-simplex whose vertices are members {0, 1}**n ? Equivalently, what is the minimum non-zero distance to the origin from a hyperplane defined by members of {0, 1}**n ? The answer is at most 1/sqrt(n) . The corner simplex provides an example. A smaller answer might be possible if the simplex is oblique enough... plus »
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Ten papers published by GT Publications
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Five papers have been published by Algebraic & Geometric Topology (1) Algebraic & Geometric Topology 10 (2010) 315-342 An involution on the K-theory of bimonoidal categories with anti-involution by Birgit Richter URL: [link] DOI: 10.2140/agt.2010.10.315... plus »
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Call for Paper The International Journal of Computer Science (IJCS)
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Call for Paper The International Journal of Computer Science (IJCS) publishes original papers on all subjects relevant to computer science, communication network, and information systems. The highest priority will be given to those contributions concerned with a discussion of the background of a practical problem, the establishment of an... plus »
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Ten papers published by GT Publications
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Five papers have been published by Algebraic & Geometric Topology (1) Algebraic & Geometric Topology 10 (2010) 315-342 An involution on the K-theory of bimonoidal categories with anti-involution by Birgit Richter URL: [link] DOI: 10.2140/agt.2010.10.315... plus »
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delta function as a continuous linear map?
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Hi I've come across a claim that has made me confused. In [link] (which is for people like me) it's claimed on page 17 that the delta function defined on functions of Schwartz space S as delta: S -> R, delta_{x_0} f = f(x_0) is continuous. I think it's true, as implicitly mentioned there as... plus »
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Do free abelian groups embed into connected semisimple complex lie groups?
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Question: Let A be a connected semisimiple complex lie group. Is it true that any free abelian group G of finite rank can be embedded in A? I know that it is the case that any free groups of finite rank can be embedded into any connected complex semisimple lie group. Do we have to make any assumptions about the dimension of A for the... plus »
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Call For Manuscripts: International Journal of Signal Processing (IJSP)
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Call For Manuscripts The International Journal of Signal Processing (IJSP) is currently accepting original high-quality research manuscripts for publication. The Journal welcomes the submission of manuscripts that meet the scientific criteria of significance and academic excellence. All research articles submitted for the journal will be peer-reviewed... plus »
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Three Elementary Planar Convexity Problems
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It is well known that for compact subsets, X, of the Euclidean plane, with interior points, X is convex if and only if each frontier point has at least one support line: see Eggleston, [1], Theorems 8 and 9. For other relevant convexity terminology and background also see [1]. Assume in the rest of this communication that X is a planar, compact... plus »
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Mosteller and Wallace
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Can anyone recommend a modern text, at a level suitable for an undergraduate economics major, that describes the sort of textual analysis that Mosteller and Wallace did of the Federalists papers in the 1960's? (Given a text with two possible authors, and information about their typical use of certain key words and phrases, determining... plus »
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decomposing rationals
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Hello let x be any rational number, and also given an arbitrary interval [a, b] that does not contain x. Is there a systematic way to find a set of integers m1, m2, ..mK and corresponding rationals y1, y2,...yK all in the interval [a, b] such that their linear combination is x, x= m1.y1 + m2 . y2 + ....+ mK . yK... plus »
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