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. Preprints2020, 2020080578 (doi: 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 (doi: 10.20944/preprints202008.0578.v1).

Cite as:

Mason, G.; Chou, Y.; Pind, S. The Mapping of the Main Functions and Different Variations of YH-DIE. Preprints2020, 2020080578 (doi: 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 (doi: 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.

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.