| 摘要 |
Three algorithms enumerate the decimal expansions of e, pi, (2) and (3) by using 1.) 16 special angles in radians on the unit circle in a transition from arbitrary-degrees to natural-radians defined as DELTA (match-with-rotate algorithm), 2.) subsets of 7-1 special angles from 5pi/6 to 5pi/3 derived from the Pythagorean theorem such that -(-a)=-a, the square of imaginary i, i.e. i2 does not equal -1, -does not equal -1, (-1)=i, (-)=yod (cusp root method algorithm), the 10th letter of the Hebrew alphabet, akin to iota of Semitic origin, and 3.) 16 special angles in radians on zero vector algorithm defined in terms of the yod null set of only theta on the unit origin in polar coordinates, for the seed matrices as the mechanisms of sequence extraction whereby numerical-based-learning algorithms focusing on Artificial Neural Networks learn nonlinear functional mapping from an uncertain and complex non-congruential system for control and numerical modeling
|
