中智学和四段式扩充方程及解的概念Point - The General Science.PDF

点方程 线方程 面方程等及点解 线解 面解等 ——中智学和四段式扩充方程及解的概念 付昱华 （中海油研究总院，E-mail：fuyh1945@） 摘要：方程及解的概念是不断发展和扩充的。本文尝试用中智学和四段式等观点和方法，联 系函数的定义域（domain of function）等概念以及构成定义域的几何元素，进行扩充方程 及解的概念，讨论点方程、线方程、面方程、体方程、子域方程、全域方程等及点解、线解、 面解、体解、子域解、全域解等。其中：点解不仅可以是点方程的点解，还可以是线方程、 面方程等的点解。类似地，线解不仅可以是线方程的线解，还可以是点方程、面方程等的线 解；面解不仅可以是面方程的面解，还可以是点方程、线方程等的面解；如此等等，不一而 足。文中重点讨论了应用单点法确定“点解”。 关键词：中智学，四段式，点方程，线方程，面方程，点解，线解，面解，单点法 Point Equation, Line Equation, Plane Equation etc and Point Solution, Line Solution, Plane Solution etc —Expanding Concepts of Equation and Solution with Neutrosophy and Quad-stage Method Fu Yuhua CNOOC Research Institute, China E-mail:fuyh1945@ Abstract: The concepts of equations and solutions are constantly developed and expanded. With Neutrosophy and Quad-stage method, this paper attempts to expand the concepts of equations and solutions in the way of referring to the concepts of domain of function, the geometry elements included in domain of function, and the like; and discusses point equation, line equation, plane equation, solid equation, sub-domain equation, whole-domain equation, and the like; as well as point solution, line solution, plane solution, solid solution, sub-domain solution, whole-domain solution, and the like. Where: the point solutions may be the solutions of point equation, line equation, plane equation, and the like; similarly, the line solutions may be the solutions of point equation, line equation, plane equation, and the like; and so on. This paper focuses on discussing the single point method to determine point solution. Key words: Neutrosophy, Quad-stage, point equation, line equation, plane equation, point solution, line solution, plane solution, single point method