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The Mapping of the Main Functions and Different Variations of YH-DIE
Version 1
: Received: 25 August 2020 / Approved: 26 August 2020 / Online: 26 August 2020 (10:19:32 CEST)
How to cite: Mason, G.; Chou, Y.; Pind, S. The Mapping of the Main Functions and Different Variations of YH-DIE. Preprints 2020, 2020080578. https://doi.org/10.20944/preprints202008.0578.v1 Mason, G.; Chou, Y.; Pind, S. The Mapping of the Main Functions and Different Variations of YH-DIE. Preprints 2020, 2020080578. https://doi.org/10.20944/preprints202008.0578.v1
Abstract
YH-DIE must have continuity . Given the basic algebraic clusters of homogeneous configurations,we can get the basic three equations: \begin{array}{l} {\mathop{\int}\nolimits_{0}\nolimits^{{x}_{i}}{\frac{{G}\left({{x}_{i}\mathrm{,}s}\right)}{{\left({{x}_{i}\mathrm{{-}}{s}}\right)}^{\mathit{\alpha}}}\mathrm{\varphi}\left({s}\right){ds}}\mathrm{{=}}{f}\left({{x}_{i}}\right)}\ ;\ {\frac{\mathrm{\partial}}{\mathrm{\partial}{x}_{i}}\left({\frac{{\mathrm{\partial}}_{{x}_{i}}G}{\sqrt{{1}\mathrm{{+}}{\left|{\mathrm{\nabla}{G}}\right|}^{2}}}}\right)\mathrm{{=}}{0}}\ ;\ {{i}\mathrm{{=}}\mathop{\sum}\limits_{{x}_{i}\mathrm{{=}}{1}}\limits^{\mathrm{\infty}}{\arccos\hspace{0.33em}\mathrm{\varphi}\left({{x}_{i}}\right)}\mathrm{{=}}{f}\left({\fbox{${Yuh}$}}\right)} \end{array} YH-DIE has become a fusion point and access point in the fields of algebraic geometry and partial differential equations, and its mapping on multidimensional algebraic clusters or manifolds is very special. The minimal surface equation is a special case.
Keywords
complete Riemannian manifolds; entire solutions; minimal graphs; differential equat; algebraic variety
Subject
Computer Science and Mathematics, Analysis
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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