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[2] viXra:2004.0456 [pdf] submitted on 2020-04-19 09:54:43
Authors: George A Plousos
Comments: Pages.
In this paper, for the first time, a general closed-ended solution for the equations of the form is presented:
sqrt(2 + - sqrt(2 + - ... + - sqrt(2)...))
I then present methods for solving some complex equations of a similar form. There is an astonishing correlation between nested radicals, trigonometry and binary numbers. The results are presented as accomplished facts, without proof, but withstand the test. Over time, all of this will be proven by others. I was recently informed that the results presented here, in relation to the correspondence of two variables «a» and «b», are closely related to the Gray code (Sequence A003188 OEIS).
Category: Algebra
[1] viXra:2004.0408 [pdf] replaced on 2020-06-05 05:50:47
Authors: Eckhard Hitzer
Comments: 15 Pages. Accepted for Mathematical Methods in the Applied Sciences (MMAS), 3 tables. Minor updates.
In this paper we consider general multivector elements of Clifford algebras Cl(p,q), p+q <3, and study multivector factorization into products of exponentials and idempotents, where the exponents are blades of grades zero (scalar) to n (pseudoscalar).
Category: Algebra
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