We visited but did not stay in her home. We could afford decent hotels and no one complained about the noise we made as we reconnected our bodies with our spirits.“I told you the night I became your American girlfriend that when I swore my vows, no other man would have touched me and none ever would. I have kept my vow, Sly. But I also promised my partner would find everything he needs and everything he desires in my arms. I fear I’ve failed you in that, my beloved. I have been too caught up in being a mother to be a good wife.”“Lily, you have not failed. I still find everything I need and desire in your arms. And I am faithful to you. Being a mother was the most important thing you could have done for the past twenty years. I love you even more for the way you love our daughters.”“But I have not been as available to you as you desire. That changes right now, Sly. Your slightest touch will be the only signal I need to make love to you. I ... I guess I have missed it, too.”“This. It is exact. Look at 22/7 as an approximation to pi. We used it in elementary school and middle school. 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.
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