Description:
Mathematical discussions and pursuits.
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How to prove a gamma identity?
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Hi All, how would one prove the following gamma identity? (1 - 4*s)/16 = (gamma(5/4 - sqrt(s)/2)*gamma(5/4 + sqrt(s)/2))/(gamma (1/4 - sqrt(s)/2)*gamma(1/4 + sqrt(s)/2)) Regards Gerry
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Introducing Form1™, a quick and tiny web browser from MeAmI™
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Only 8.5kb compressed and 36kb single file executable. [link]" Copyright 2009 MeAmI.org "Search for the People!"™ P.S. Attention Developers: I need to figure out how to change the homepage setting with this browser (if it is possible), or does my code too closely rely on MIcrosoft integration?... more »
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General Physical Constant Theorem.By Aiya-Oba
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Planck mass times 0.009, plus the product of any fundamental physical constant in negative powers greater than minus 4, and planck mass times 0.991, invariably equals planck mass time 0.009.-Aiya-Oba (Philosopher) Thus, p(0.009) + Q(p x 0.991) = p(0.009). Where p, is planck mass (10^-5), and Q, can be any fundamental... more »
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z^2 represented as a complex power series
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Hi all, Is there a way to represent z^2 as a power series of the form \sum c_n (z-a)^n between n=0 and infinity, where z is a complex number of the form x+iy, i^2= -1 and a= -i?
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Roots to nth Degree Polynomial
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[link] The polynomal is expressed as the equation of a plane and an orthogonal basis set up using the unit normal, the unit vector pointing from the intersection of the normal with the plane, to the intersection of the plane with the coordinate axes. From there the space curve in x is projected onto... more »
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Hard trigonometry integration
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integration of sin^4(x + sin 3x) dx from x = 0 to x = pi. any idea.? ------------------ Here is I tried If Let f(x) = sin(x + sin 3x) I find that f(x) = f(-x) There are 3 value of x such that f(x) = 0, f(0) = f(pi) = 0 and f(some value) = 0. no symetry about x = pi/2 ---------------- Can anyone solve this problem.?... more »
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legendre transform and convex function
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By "convex function", here, I mean a function whose first derivative is strictly increasing. Legendre transform applied to a convex function still gives a convex function. Please, can you give a proof (or an hint about it) of the statement ? Warmest regards mercury
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A new definition of Cardinality.
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Hi all, As far as I know, all the definitions of cardinality are limited in a way or another, lets take them one after the other: 1) Von Neumann's Cardinals: A cardinal is the least of all equinumerous ordinals. 2) Frege-Russell Cardinals: A cardinal is an equivalence class of sets under equivalence relation... more »
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