| Abstract: | We claim that given restrictions over multiple Banach Spaces (and usually one Hilbert Space) with a common arbitrary defining variable constant, we can attain a unique numerically ordered regular value of any n-dimensional Sym⁸́₇(n, R) with dimension 1 using methods of Optimization. Through this, we hope to assist in constraint based research in infinite dimensions in the field of Differential Geometry. We will, throughout this paper, study the existence and uniqueness of a two variable solution towards a Foundation for this regular value formulation of X ⁸́⁸ Diagonalized Sym⁸́₇(n, R) ⁽́² Sym⁸́₇(n, R) ⁽́² M(n, R), briefly study the equivalence of two formulations that we conjecture under further restrictions on our variable m represent the same Foundation aforementioned, and look over several numerical examples to accompany our study. The electronic version of this dissertation is accessible from https://hdl.handle.net/1969.1/197328 |
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