duality theorem
- duality theorem的基本解释
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[计] 对偶定理
- 相似词
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Based on much knowledge, contrasting to linear programming; we extend duality theorem (including weak duality theorem and strong duality theorem), complementary slack theorem to conic optimization. Hence we find out some significative conclusions and existing conditions under which their duality gap is zero of two optimizations.
在此基础上,通过与线性规划作对比,将对偶定理、互补松弛定理等推广到锥规划问题中,得到了一些有意义的结论,并且得到了这两个规划的零对偶间隙的存在条件。
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this article discusses the integral theorem of mean the promoted question, mainly has two aspects: On the one hand in analyzes in the teaching material under the first integral theorem of mean condition, had proven lies between the value spot to have to be possible to obtain in the open-interval, further discusses this knot promotes to the generalized Riemann integral, and further proved the conclusion also establishes to the promoted first integral theorem of mean; Promotes on the one hand in addition the integral theorem of mean to in the curve and the curved surface, and has proven the curvilinear integral theorem of mean and the surface integral theorem of mean.
本文讨论积分中值定理的推广问题,主要有二个方面:一方面在分析教材中第一积分中值定理的条件下,证明了介值点必可在开区间内取得,进一步将这个结论推广到广义Riemann积分,并进一步证明结论对推广的第一积分中值定理也成立;另一方面,将积分中值定理推广到曲线和曲面中,并证明了曲线积分中值定理和曲面积分中值定理。
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The thesis will introduce, respectively, relevant concepts of residue theorem and its promotion and application in two parts In the basic concepts of chapter II, the definition, classification and relationship between function zero and pole of the isolated singular point are given to lead out relevant definition, theorem and solving method, while the core content of this paper is promotion and application of residue theorem, including calculation of integration by using residues, application in diagonal theorem and argument theorem, application in electromagnetism and theorem promotion and relevant application of extension theorems
本文将从两大部分分别引入和浅析了留数定理的相关概念及其推广和应用在第二章的基本概念部分中,给出了孤立奇点的定义和分类、函数零点与极点的关系,从而引出留数定理的相关定义与定理及其求法而本文的核心内容也就是留数定理的推广和应用,包括运用留数来计算积分、体现在对角定理与辐角定理中的应用、在电磁学中的应用及其定理的推广和推广定理的相关应用
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duality theorem:对偶定理
对偶定理( Duality Theorem):加法对偶定理是一变数(A)与0执行逻辑加法(OR)运算,其运算结果都等於原来值(A). 乘法对偶定理是一变数(A)与1执行逻辑乘法(AND)运算,其运算结果都等於原来值(A).
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strong duality theorem:强对偶定理
强度|strength | 强对偶定理|strong duality theorem | 强对偶空间|strong dual space
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Pontryagin duality theorem:庞特里亚金对偶定理
庞特里亚金-范坎彭对偶定理|Pontryagin-van Kampen duality theorem | 庞特里亚金对偶定理|Pontryagin duality theorem | 庞特里亚金积|Pontryagin product
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weak duality theorem:弱对偶定理
弱闭[的]|weakly closed | 弱对偶定理|weak duality theorem | 弱分歧扩张|tamely ramified extension
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fundamental duality theorem:基本对偶定理
fundamental driving force 基本推动力 | fundamental duality theorem 基本对偶定理 | fundamental equation 基本方程式
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