Description:
Mathematical discussions and pursuits.
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Moessner's Fifth Powers Identity
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Hello all, Moessner (1951) gave the beautiful identity, (a+20t^11)^5 + (b+20t^25)^5 + (t^33-t^3+c)^5 = (a-20t^11)^5 + (b-20t^25)^5 + (t^33-t^3+d)^5 where, a = (t^30+8t^20+12t^10-1)*t^6 b = t^30-12t^20-8t^10-1 c = -12t^23-28t^13 d = 28t^23+12t^13 Notice how the coefficients, after negation, are palindromic. Other... more »
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Another AC anomaly?
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Has anyone seen this before? [link] I'm not sure yet what to conclude from it; that AC is horribly wrong, or that WM is horribly right, or something else altogether. In short the story goes like this: A game is played, in which infinitely many coins are tossed, and there's... more »
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Cooking the right chip...
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Bonjour chipsters, We stand upon the following hypothesis: fat weight is proportional to the outer area of the fried chip. .... Which tool will you design for my kitchen? Alain
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ensemble négligeable
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Bonjour Est-ce que vous savez si l'image réciproque d'un ensemble négligeable par une fonction continue de [a,b] dans R est négligeable ? En fait, je me demandais si f Riemann-intégrable et g continue implique ou non fog Riemann intégrable, et par le théorème de Lebesgue (une fonction bornée est riemann-intégrable sur un segment si et seulement si elle est... more »
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Test velocities in FEM
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Hi, I am studying the finite element method, and I came across a weird point on a proof, but I can't realize what's wrong with my assumption. First, let's say this (from the book): - d is the displacement - v is the velocity (time differentiation of d: dd/dt) - a is the acceleration (dv/dt) - x_n means the quantity x at time n (for example v_n, v_(n+1), ...)... more »
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zircon crystals almost 10 billion years old #185 Atom Totality theory
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The below is a copy of the 2nd edition on this topic. I believe some future date we shall have an announcement of a discovered zircon crystals that are far older than 5 billion years; and some coming in at close to 10 billion years. And, I am rather confident that some scientist in the past has done a... more »
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