查询词典 duality

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。

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。

As a whole, the economic development of our country should be the result of an interaction and coordinated development of system changes, opening to the outside world, and duality economic transformation in recent years. In the course of our country economic grow, System Economic Grow Theory and Duality Economic Development Theory can be founded at the same time, but the devote of duality economic transformation overstep other factor.

从总体上讲，我国近些年来的经济增长应是制度转轨、对外开放与二元经济转型等因素相互作用与协同发展的结果；在我国的经济增长过程中，制度－经济增长论与二元经济发展论可以同时成立；不过，从各因素对经济增长的总量贡献上看，二元经济转型的贡献要远大于其他因素。

Accordingly, we know the connection of the universal duality and boundness of a primal-dual pair feasible set.We apply these theories to practical applications in chapter four.In chapter five we make many conclusions and bring forward research expectation for the future.conic optimization; dual conic optimization; duality gap; universal duality

研究主要有：利用Nesterov和Todd的齐次模型判断锥规划与其对偶锥规划解的存在性；类似于线性规划推导出锥规划的KKT-条件；从锥规划的泛对偶性得到锥规划与对偶锥规划的零对偶间隙存在的条件，从而了解泛对偶性与原—对偶

The duality of ship fires has been discussed in chapter 2 for the fire duality is the important part of fire science. The research method of ship fire probability and determinability has been described under the scope of duality. A model of ship fire hazard evaluation was presented combing with the ship fire macro-properties of our country.

火灾的双重性规律是火灾科学的重要思想，本文的第二章对船舶火灾的双重性规律进行了探讨，提出了在火灾的双重性规律框架下开展船舶火灾及其防治研究的构想，概述了船舶火灾的随机性研究和确定性研究的基本方法，结合我国船舶火灾的宏观特征，给出了船舶火灾危险性评估的初步模型

In view of these, the second part of this paper presents two sufficient conditions and two mixed type duals for the generalized fractional programming only under-convexity assumptions. These sufficient conditions apply to a broader class of mathematical programming problems.The results about weak duality, strong duality and strictly reverse duality arealso presented under more suitable conditions.

鉴于此，本文的第二部分，我们仅在函数—凸性假设下，给出了广义分式规划的二个最优性充分条件，这些充分条件较文献中的相关的条件有更广泛的适用性；同时还给出了混合型对偶，并且在适当的条件下，给出了相应的弱对偶定理、强对偶定理，以及严格逆对偶定理。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷