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577350269… and the error is |gamma – 1/Sqrt(3)| / gamma = 0.000233196, or about 0.02% or thereabouts. Taunus Trumbo: And so what? These are transcendental numbers being approximated by rational numbers or algebraic irrationals (surds). Faustus Mortal: They establish a numerical criterion. For anything in the physical universe, a good approximation must have an error less than these. Taunus Trumbo: And this proves? Faustus Mortal: The error in A+1/A+B and e^(pi^2/2) is 0.000000146 or 0.00001%. Even the absolute error is small, 0.000020. Taunus Trumbo: This is a remarkable coincidence, but little more. Faustus Mortal: No. It is exact and the connecting number comes from f(x) = Exp(-x^2/2) where x is the imaginary number i*pi. Written out in expanded form we get f(i pi) = e^(-(i pi)^2/2). This is a compacta of symbols: e, i, pi, 2 and operations ^ / and so on. Remember its cousin e^(i*pi) – 1 = 0? And f(x) is important in statistics and quantum mechanics as well as intermediate. ..why did you give me these!?" said Frisha, grabbing hernew breasts."You want to hear the real story?" asked Heysha."Damn straight." replied Frisha demandingly. Heysha paused and lookedat Frisha for a while."Take a look at yourself first, in that mirror." she gestured towardthe mirror standing beside Glen's desk.Frisha walked over to the full-length mirror and the reflection thatstared back at her gave her a shock. Looking back was a blonde hairedbabe with a knockout body. She was dressed in the same Lycra costumethat Heysha was dressed in with identical patterning down the legsalthough Frisha's was red rather than green. The reflection had goldenblonde hair, which was tied up behind her head in a ponytail. It hungdown past her shoulders. Frisha span her head quickly and the ponytailreacted, swaying in front of her face. Frisha had to admit; thereflection that she saw was indeed beautiful. Maybe could evenchallenge on Heysha and she alone was a wonderful looking girl. Frishanoticed.
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