A new proof of the Pythagorean Theorem inspired by novel characterizations of unital algebras
@inproceedings{Greensite2022ANP, title={A new proof of the Pythagorean Theorem inspired by novel characterizations of unital algebras}, author={Fred Greensite}, year={2022} }
. A new proof of the Pythagorean Theorem is presented, utilizing George Birkhoff’s version of the postulates of Euclidean geometry as incorpo- rating R . Generalization of the mechanism of proof forwards novel characterizations of real finite-dimensional unital associative algebras which, along with the accompanying functor, are also presented and applied.
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Origin of the Proto-norm functor from an Inverse Problems regularization method
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. Characterization of real finite-dimensional unital associative algebras with the Proto-norm functor is shown to have its origin in the interpre- tation of a particular Inverse Problems…
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