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It is very close and a repeating decimal fraction: 3.142857 142857 142857 …. Now look at |pi – 22/7| / pi. What we have is an error of 0.000402499 or, about 0.04% Very close. Similarly, for the Euler-Mascheroni constant gamma, 0.577215665…, we see that Sqrt(3)/3 is 0.577350269… 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. I do know that I'm attracted to you and only you, right now."Looking at his erection pointing at her from within his slacks, she said wryly, "I can certainly see that for myself."Donny had not been with many women in his short lifetime, but he knew an invitation when he heard one."Shall I take it out and allow it to breath?"Mavis pondered the invitation for a macro-second, and then answered him. "By all means, all good things should be allowed to age ... and to breathe."Donny wasted no time, and in a moment, Mavis was staring at his rigid pole, poised and ready to engage her.They were on each other like animals. "Hold me," she told him. And when he wrapped his arm around her she moaned, "Tear my clothes off.!"Instantly he complied, frightening her, delighting her and causing her to wonder what other nasty things they would do with one another.With her clothing shredded and pooled around them, they lay on the carpeted floor a tangle of arms and legs as they sought to find the right.
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