It should be noted a change in convention as the use of n to represent non-Diophantine exponents has created some confusion. Thus, the use of ℝ going forward in this respect. FIRST: Could the immunity of the Pythagorean (et al.) Theorem to the a : b ratio be the implication of Fermat in his marginal note of x n + y n = z n concern? i.e., Based on the following, does the a : b proportion play a role, and can perhaps that be generalized to compositions that do not fulfill the Triangle Inequality? For any triangle ABC where...
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