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The Finite Element Method for Four Color Conjecture Plate Puzzle2023-07-06 20:49Source:Horizon Academic
The Finite Element Method for Four Color Conjecture Plate Puzzle 四色猜想图板拼图的有限元法 Li Chuanxue 李传学 摘要：四色猜想的图板微分（无限细分）、任意拼图积分，解决了图论、拓扑学、计算机证明中的“无限”、“飞地”困惑；拼图曲线任意性，可取代拓扑等价来刻画图板微分，四色猜想证明属于数学分析概念。那么，四色猜想又为什么要引入有限元法呢？遵照“相异相邻、相同（异）对顶”证明规则，“任意地细分”核心在于寻求能用 1、2、3、4 数字标记的数学图形作为表达单元。有限元法的△、田（□）图形单元网格求解思想，直接表达了四色猜想数学语言定义。本文在解析有限元法适用四色猜想数字单元网格化解基础上，侧重对二阶方阵、四阶对称方阵图板表达式的图板叠加细分，满足拼图边缘 " 相异相邻、相同（异）对顶 " 有边界条件细分图板或无边界条件细分图板的多线段整合拼图单元数字解进行剖析。利用有限元法图解证明四色猜想，并试图拓展四色猜想应用领域。四色猜想属“历史数学”领域。史前人类面对洪害生存生产方式，集中体现在人的本能与反应—“爱与拼搏”（耿爱英：“爱与拼搏绘人生——走进老科学家袁益让”）。“史前数学”正是求证史前人类文明的工具。本篇是《四色猜想的数字图板拼图证明与实用意义》《四色猜想的图板微分与拼图积分概念》深化与结论篇。 关键词：图板微分；拼图积分；史前数学；四色图板 文章编号：2832-9317（2023）02-0085-05 DOI：10.12424/HA.2023.036 本文链接：https://www.oc-press.com/HA-202302-085.html
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