|December 28th, 2016, 06:54 AM||#1|
Joined: Dec 2012
Two Hands Clock
Here a serie of nice Power bijection (what I call Complicate Modulus Algebra)
And so on using $M_n= (X^n-(X-1)^n)$ ...
With some work it can be pulled into the Rationals too.
The first fact it's trivial (but has lot of conseguences):
Theorem 1: No Irrationals Values / Angles, can be reached with such clocks.
If you can prove your value (f.ex. $A^n+B^n$ ) lead to a root depending by an Irrational, you prove you can't use Integer / Rational, Powers or Roots, to rise it.
Last edited by complicatemodulus; December 28th, 2016 at 07:02 AM.
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