查询词典 duality theorem

The positive periodic solution of functional differential equation with infinite delay is deeply concentrated these years, some scholars study this subject by means of Lyapunov theorem, Schauder fixed point theorem, and cone extending and compression theorem (from thesis -[5]), and they obtain the existence theorem of positive periodic solution.

近年来，无穷时滞泛函微分方程的周期解问题受到广泛关注，一些学者应用Lyapunov泛函方法，Schauder不动点方法，以及非线性泛函分析中的锥拉伸锥压缩方法(见[1]-[5])，研究了无穷时滞泛函微分方程的周期解的存在性问题。

In addition, by utilizing Jacobi two square numbers theorem and Lagrange four square numbers theorem and some theta function identities, we also prove the known results of number theory: two triangular number theorem, four triangular number theorem, and the number of representations of a positive integer by various quadratic forms in terms of divisor functions

包括Jacobi二平方数定理，Lagrange四平方数定理等，然后利用这些结果结合几个theta函数恒等式，我们获得了把任意一个正整数表示成两个三角数或四个三角数的和以及其他的二次形式的方法数，这些方法数都是用因子函数来表示的。

And guided by Schur theorem, many of the Schur theorem inference arises, formed a complete theoretical system Schur theorem. Schur theorem and put many of its reasoning applied to the unitary matrix and the similarity matrix eigenvalue of proof onto.

在Schur定理的指导下，许多关于Schur定理的推论便产生了，并且形成了一个完整的Schur定理理论体系，把Schur定理和它的许多推论推广到了酉矩阵的相似和矩阵的特征值的证明上来。

We will have achieved much for the study of aesthetics when we come, not merely to a logical understanding, but also to the immediately certain apprehension of the fact that the further development of art is bound up with the duality of the Apollonian and the Dionysian, just as reproduction depends upon the duality of the sexes, their continuing strife and only periodically

只要我们不单从逻辑推理出发，而且从直观的直接可靠性出发，来了解艺术的持续发展是同日神和酒神的二元性密切相关的，我们就会使审美科学大有收益。

Martin Bubers' main thought of dialogic philosophy contains world duality and life duality, ontology of relationship, establishment of the sphere of" Betweenness ".

马丁·伯对话哲学的主要思想包括：世界的二重性与人生的二重性；关系的本体性；"之间"领域的确立；皈依"永恒之你"。

The De Broglie promotes Einstein's wave-particle duality to the microparticle, proposed for the first time the granule in kind has the wave-particle duality supposition, proved the microscopic granule also to have the undulatory property.

德布罗意把爱因斯坦的波粒二象性推广到微观粒子，首次提出了实物粒子具有波粒二象性的假设，论证了微观粒子也具有波动性。

In the second part of this paper, using of linear compact and injective cogenerator so on, we discuss the relations between Morita duality and weak Morita duality.

本文的第二部分我们将Morita对偶与弱Morita对偶相比较，并结合线性紧、内射上生成子等概念对弱Morita对偶的性质进行了一些讨论。

Our results show that the duality of self-dual tetrahedral link is "trivial", and the duality of hexahedral and octahedral link as well as dodecahedral and icosahedral link are "nontrivial".

从构型角度考虑，四面体链环的自对偶是"平凡"的，六面体链环和八面体链环，十二面体和二十面体链环的对偶是"非平凡"的。

In this paper,the author introduced an approximate augmented Lagrangian function in nonlinear programming,established dual mapping and the related dual problem of this augmented Lagrangian function and obtained the results of approximate strong duality and approximate weak duality of original problems.

介绍了非线性规划中的一种近似增广拉格朗日函数，建立了基于这种增广拉格朗日函数的对偶映射和相应的对偶问题，得到了原问题和对偶问题的强近似对偶和弱近似对偶结果。

And I also point out the relation between the duality of Japanese moral education and the duality of Japanese modernization.

本文同时还指出了日本道德教育的二重性与日本现代化历史的二重性之间存在着联系。

Diabetes is a social disease that affects several million people worldwide.

糖尿病是一个社会性疾病，全世界有数百万人罹患此病。

I'll call you on Friday to see if we can reschedule our luncheon meeting at your convenience.

我星期五会给您打电话在您方便的时候我们重新安排我们的午餐约会。