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 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. " No," Kei snarled. "We're supposed to protect you." Not yet, not now," I hesitated, not wanting to say what first came to mind. "Maybe someday, but not now. Today, it is still up to me to protect you."Neither spoke, and after a long moment, I nodded towards the west. "You'll feel it when it happens, and when it does, run west and don't stop running until you hit the Tatterik, you hear?"Both of them gave me their wildest Vulkai grins. "See you on one side of the veil or another, Wizard." Kei said, offering me the title I knew he thought I'd never get the chance to wear openly. Labo simply turned his head towards the west and let his nostrils flare at the scent that lingered on the air. With that, I reached out and pulled the darkness to me, tasting the red fire as it stung where my magic touched it.I didn't see the boys when they began their run. I was too much into the blackness and the pain. I held the pain and welcomed the blackness, not even when I was knocked to the ground. Even.
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