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中文摘要：
首先,讨论了一般方程及其某些解的简化形式;其次,介绍了数学物理方程及其对称性;第三,研究了方程的不动点、定性分析理论和相应的各种应用;第四,由矩阵联系于线性代数;第五,讨论与数学物理相关的各种量;最后,探讨教域的推广和复变函数发展（各种超复变函数）。
英文摘要：
First, the general equations and some of the simplified forms of their solutions are discussed. Next, the mathematical-physical equations and their symmetries are introduced. Thirdly, the fixed points, the qualitative analysis theory and corresponding applications on these equations are investigated. Fourth- ly, linear algebra is assorted from matrix. Fifthly, various quantities related with mathematics and physics are discussed. Finally, the extension of the number field and various super complex variables functions developed from the complex variables functions,etc. ,are researched.
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Measurement of refractive indexes of microquantity liquid filled in a capillary and a capillary wall
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