Math
in [Science]
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Why "Cylinder Sets" are called so? Recently, while reading a paper, I encountered the term "Elementary Cylinder Set." (See http://en.wikipedia.org/wiki/Cylinder_set for more info.) Wandering about in several books related to Topology (as well as other subjects in math, such as Set Theory, Probability Theory, Measure Theory, etc.), I couldn't find... 3 Aug 2010 11:26
Countdown to the 2010 Fields medal(s) ================================================ Additional information about the26-th International Congress of Mathematicians: ================================================ The Kenneth O. May Prize for the History of Mathematics will be awarded to Radha Charan Gupta, from India, at the Closing Ceremony of the... 13 Aug 2010 02:46
How small must the chance of error be before we accept something as true and certain? On Aug 2, 8:15 pm, Immortalist <reanimater_2...(a)yahoo.com> wrote: Suppose, for the sake of argument, that a belief could be completely justified without all chance of error being excluded. How great a chance of error is to be allowed? One chance in ten? One chance in a million? It won't matter. If there is ... 4 Aug 2010 13:37
about understanding conjugate roots in Q[x]- David Bernier wrote: A program tells me that the polynomial p(x) = x^4 + x^3 + x^2 + x + 1 is irreducible in Q[x]. If a = exp(2pi i/5) is as usual a 5th root of unity, then I think the polynomial p(x) splits or factors in C[x] as: x^4 + x^3 + x^2 + x + 1 = (x- a)(x - a^2) ( x - a^3) (x - a^4). ... 2 Aug 2010 21:21
Fermat's "Last" Theorem Disproved (March 27, 2000; LaRouche v Fowler) that might be worded, as a neccesary condition, but that certainly wouldn't disprove Fermat's "last" theorem (iff it was the key to his Method in "descartesian" geometry .-) You mean to tell me that all I have to do is prove that the unites are not dimensionless and the theorem is disproved, or must at leas... 2 Aug 2010 21:21
How small must the chance of error be before we accept something as true and certain? Suppose, for the sake of argument, that a belief could be completely justified without all chance of error being excluded. How great a chance of error is to be allowed? One chance in ten? One chance in a million? It won't matter. If there is one chance n, whatever number n may be, we shall be led into contradiction... 3 Aug 2010 23:32
Conditions for maps f:X-->Y to "Pass to Cohomology".? Hi: Hope this is not too simple-minded: Given a map f between Chain Complexes C_n(X) and C_n(Y); X,Y topological spaces, we have that f passes to homology if f maps cycles into cycles and boundaries into boundaries. Then we get an induced map on homology, i.e., a map f_* from H_n(X) into H_n(Y). I... 4 Aug 2010 20:11
Relativistic "Doppler" shift ah, so; light is relatavistic, because its waves "go" through no medium, or redshifts are dopplerian, if the object is going at some fraction of lightspeed -- not velocity -- w.r.t "free space?" I may have muddled this, or you have. That's what distinguishes relativistic Doppler from the Doppler in mediu... 2 Aug 2010 19:10
Geometric Motivations behind Relative Homology.? Hi: I have been going over relative homology of a pair (X,A), and I think I understand well the formalities: relative cycles (2 cycles being equivalent if they have the same coefficients in X-A), relative boundaries (induced by the "usual" boundary), how we get a LES from a SES (Snake Lemma and/or Five Lemma), ... 3 Aug 2010 07:04 |