对偶的

Since a proposed application of Dirac structures is to the reduction of some mechanical systems, the reduction of Dirac structures is considered in detail in this paper, without using the existence of momentum mappings or the introducing of the notion of admissible function, etc..

因为引入Dirac结构的—个基本目的即应用于一些力学系统的约化，本文详细地讨论了Dirac结构的约化问题，包括其在Poisson流形以及Jacobi流形等的约化中的重要应用，重点利用了Dirac结构的特征对以及对偶特征对的工具，从而避开了讨论矩映射的存在性以及容许函数等一些复杂概念的介入。

When the Hamiltonian system is introduced into the research of dynamic buckling in cylindrical shells, the problem uses dual variables in Symplectic space instead of variables in traditional Euclidean space. The symplectic eigenfunction expansion method gives out an exact solution space. So many problems are solved, which can not find the solution in traditional methods.

将哈密顿体系引入结构的动态屈曲研究中，其意义在于将结构的动态屈曲研究从传统的欧几里得几何空间进入到由原变量和对偶变量组成的辛几何空间之中，从而使辛本征函数展开的直接解析法得以实施，这样就可以求解许多以往半逆凑合法无法求解的问题，并且所得到的解空间是完备的。

Artistically, the influence of classical Chinese poetry on this poem includes the following two aspects: one is the typical parallelism which has the contrasting imagery of the two lines, and the other is the intervention of the concept of the Chinese "word" on the versification of English poetry that causes the prosodic exploration and transformation.

就艺术形式而言，该诗所接受的汉诗特性主要体现在两个方面，一是包含两个复叠对比形象的典型的对偶句的特征，二是诗律学意义上的"字"这一概念的介入以及以此作为衡量单位所引发的诗律学上的探索和变革。

Gr\ochenig and Balan, Casazza, Heil, and Landau introduced the concepts of localization.

Gr\ochenig 和 Balan， Casazza， Heil， Landau 等人提出了两种框架局部化的概念，这两种局部化在近几年被应用到了Gabor框架，小波框架和采样定理，得出了许多关于框架的超完备性、冗余度、框架界和密度的关系以及局部化框架的对偶框架的结构方面的重要结果。

Apply those properties to find the self-dual code of length 66, we got new extremal self-dual [66,33,12] code with β=32 for w1 and at least 50 inequivalent extremal self-dual [66,33,12] codes with .

我们推广Harada[4]的一个建构自对偶码的定理，Harada[4]的方法在[2n，n]， n为偶数的条件下方可成立，而我们推广出的定理可以适用於n为奇数的情况。

German philosopher whose idealistic system of metaphysics was highly influential; it was based on a concept of the world as a single organism developing by its own inner logic through trios of stages called "thesis, antithesis, and synthesis" and gradually coming to embody reason.

德国哲学家，其理想化系统的形而上学，是很有影响力的，它是基于对概念的世界作为一个单一的有机体，发展自己的内在逻辑，通过trios的阶段，所谓的&论文，对偶，与合成&，并逐步来体现的原因。

The 1-generator quasi-cyclic codes and their duals are the most frequently encountered QC codes in the literature.

单生成元的拟循环码及其对偶码是拟循环码中研究最多的一种。Séguin在要求x~m-1在F_q及F_中具有相同的分解的条件下，讨论了单生成元的拟循环码的结构及计数。

Analysis of tube-in-tube structure of variable cross-section in torsion;2. By assuming the structure to be continuous,the Hamiltonian dual system of coordination analysis is established for tube-in-tube structure s,in which the shears and flexures of the inter and the outer tubes are considered as Timoshenko beams.

在结构连续化假定的基础上，将内筒和外筒视为铁摩辛柯梁，同时考虑内筒和外筒的剪切与弯曲变形，建立了筒中筒结构协同分析的哈密顿对偶体系，导出了相应的状态空间方程，其系统矩阵具有辛矩阵的特性，可用精细积分法求该体系的高精度数值解。

It also includes the introduction of Harold Bloom and his works, the relation between Harold Bloom and his deconstruction father Jacques Derrida and the deconstructionist criticism – antithetical criticism.

这一部分还包括对哈罗德·布鲁姆的生平、作品的介绍以及对他和他的解构主义前辈雅克·德里达的关系的评述。这一部分的最后阐释了哈罗德·布鲁姆的对偶批评，一种解构式的批评。

It is observed that suportingcones for convex sets play a key role,as well as supporting hyperplanes,traditionally used in single-objective nonlinear programming,as for the specialΩ discussed just,an economic interpretation of the dual matrixis provided,which is similar to the case in the nonlinear pro-gramming,and supplies a fundamental for the application of the dualitytheory.

本文第五章首先对第一章的对偶性结果就特殊的Ω给出了相应的几何意义，与在单目标最优化中采用的支撑超平面类似地，凸集的支撑锥的概念起着关键作用。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。