Description:
Mathematical discussions and pursuits.
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Palestinians Under Attack
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Palestinians Under Attack تعرض الشعب الفلسطيني في غزه لظلم رهيب على ايدي القوات الاسرائيليه Palestinians are exposed for horrible unfairness at the hands of Israeli forces. حصار دام لشهور .. انقطاع للكهرباء دام لشهور..... more »
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Study: Black Holes Seem to Form Before Galaxies
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Study: Black Holes Seem to Form Before Galaxies January 7, 2009 from the A.P. WASHINGTON (AP) -- When galaxies initially formed, they weren't the first in the cosmic neighborhood. The supermassive black holes, which reside at the center of galaxies, probably moved in first, a new astronomy study suggests.... more »
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Extending a function from the boundary of an open set
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see [link] Laura If you like reading the source better it is below: I'm reading Lars Hormander's book on multivariable complex analysis and I'm puzzled by something. In Theorem 2.3.2' the suppositions are: Let $\Omega$ be a bounded open set in $\mathbf C^n$, $n>1$, such that the... more »
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first euler's identity
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hi, could anybody help me to prove the first euler's identity? the equation is: (1+x)(1+x^3)(1+x^5).... = sum(from k=1 to infinity) ( ( x^ ( k^2 ) ) ) / ( (1-x^2)(1-x^4)(1-x^6)... ) the second equation is similar: (1+x^2)(1+x^4)(1+x^6).... = sum(from k=1 to infinity) ( ( x^( k(k +1) ) ) ) / ( (1-x^2)(1-x^4)(1-x^6)... )... more »
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Some formulas of varieties
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Hello, let R be a commutative ring with unit and I, J two ideals in R. I think that I have figured out that the relation V(I*J)=V(I/\J)=V(I) \/ V(J) holds. Is this really true? I mean, the Chinese remainder theorem says that I*J=I/\J if I+J=R and with the above relation one gets in any case rad(I*J)=rad(I/\J) if R is a polynomial ring over an... more »
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Aether Displacement
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...Amazing discussion, yet Bell's Theorem? Add a dimension and you are knocking on your own door and let yourself in - and not just now. Really upper dimensional stuff might be bizzare, to say the least, and would need a lot more energy to manifest itself. Thin, silly beings attempted to abduct a farmer by lifting him up into... more »
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Stuck on modal logic proof
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Hi all I'm currently reading "Vicious Circles" by Barwise and Moss, and am stuck on a proof in Chapter 11, on modal logic. This is the first thing I've read about modal logic, so I apologise if my question appears stupid. I'll also give a bit of background since I have no idea how standard the authors' definitions and notations are: the... more »
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Multi input Weiner Filter
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For the standard SISO Wiener filter we minimize the cost J J=E[e^2]=E(d-W'X)^2 where W is a vector of weights and X is a vector of regressers. (d is desired output) Also ' denotes transpose. We do this by diferentiating wrt the weight vector W and arrive at the standard Wiener solution. However, in the case where W is asymmetric Matrix and d is a vector... more »
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