对偶的

By using these convergence theorems,it presents the Silverman-To-eplitz regular theorem and Samaratunga-Sember theorem on the Abelian topologicalgroups,the Vitali-Hahn-Saks theorem on algebras and the weak sequentially completenesstheorem of 〓-dual spaces of sequence spaces,etc.

这是抽象分析中的两个基本定理。作为应用，给出了Abelian拓扑群上的Silverman-Toeplitz正则性定理、Samaratunga-Sember定理、代数上的Vitali-Hahn-Saks定理，以及序列空间的〓对偶空间之弱序列完备性定理等。

This paper defines j-dual automorphism and anti- automorphism of de Bruijn Good graph Gn over F2+vF2 ring.

文章定义了F2+vF2环上的de Bruijn Good图Gn的j对偶自同构及反自同构，并给出了在F2+vF2环上移位寄存器非奇异的充要条件，以及非奇异反馈函数与其自同构函数的表达式。

By synonymous, synthetic, antithetic, emblematic, stair-like, or introverted parallelism, thought is balanced with thought, line with line, couplet with couplet, strophe with antistrophe, in the lyric upbuilding of the poetic picture or imprecation or exhortation.

由同义词，合成，对偶，象征，阶梯式，或内向，并行，思想是平衡的思想，路线与路线，对联与对联， strophe与antistrophe ，在抒情的建立的诗意的图片或imprecation或劝告。

For any positive integer n, about the Smarandache LCM dual function SL*, the main purpose of the fifth Chapter is using the elementary method to study the calculating problem of a Dirichlet series involving the Smarandache LCM dual function SL* and the mean value distribution property of SL*, obtain an exact calculating formula and a sharper asymptotic formula for it.

对于给定的自然数n，关于Smarandache LCM对偶函数SL~*，本文第五章利用初等方法研究了一个包含SL~*的Dirichlet级数计算问题及SL~*的均值性质，分别给出了精确计算公式和一个较强的渐近公式。

Our work focus on studying higher rank Wilson loopsvia D/M branes in AdS space:(1)We study higher rank Wilson-t Hooft loop operator in N=4 SYM via D3 brahe in AdS_5×S~5 with both electric and magnetic fields on its worldvolume.

我们的工作主要是利用高维膜来研究高阶表示的Wilson loop算符：(1)利用AdS_5/CFT_4对偶研究了高阶表示的Wilson-t Hooft算符，我们让D膜既带电场又带磁场。那么它们则对应着场论中的Wilson-'t Hooft算符。

The study includes the fuzzy independent set, fuzzy bases, fuzzy circuits, fuzzy rank, fuzzy hyperplanes, fuzzy closure operator, fuzzy submatroid, quasi-fuzzy graph matroids, fuzzy graphic matroids, fuzzy dual matroid and so on.

研究的内容包括模糊拟阵的独立集，模糊基，模糊圈，模糊秩函数，模糊超平面，模糊闭包算子，模糊子拟阵，准模糊图拟阵，模糊图拟阵，模糊拟阵的对偶和模糊拟阵的运算等等。

To realize the automatic steel billet snagging, the snagging path planning is accomplished. At the corner of the path, a duality clothoid ensures the continuous variation of velocity and acceleration.

结合目前亟待解决的钢坯局部修磨自动化问题进行了修磨轨迹规划，在轨迹的拐角处采用了一种对偶形式的回旋曲线进行过渡，保证了机器人在运动过程中速度和加速度的连续变化性。

He reed growing on the wall—top-heavy,thin-stemmed and shallow of root; 69 The bamboo shoot in the hills—sharp-tongued,thick-skinned and hollow inside.

r.Xu Yuanchong 对联是典型的对偶语句，在我国城乡都有广泛使用，在文学作品中也有反映。对联翻译的基本要求仍是尽可能地在译文中再现原文的意美，形美，音美。译例：墙上芦苇，头重脚轻根底浅；山间竹笋，嘴尖皮厚腹中空。

Simulation results prove that symmetry algorithm is applicable for generating the long periodic hopping pattern used in valid data communications, while random shift replace algorithm is proper for the short periodic pattern with the good balance in the range of maximum effective length, and it can be used in the situations of short-cycle emergency communications.

仿真结果表明，对偶法在长周期条件下的性能优于随机平移法，适用于产生正常通信使用的调制跳变图案；随机平移法在最大有效周期长度范围内具有很好的均衡性，适用于短周期突发通信。

A new symplectic Lagrangian density and Faddeev-Jackiw generalized brackets of the gauge invariant self-dual fields interacting with gauge fields have been obtained and FJ quantization of this system has been presented.

用Faddeev-Jackiw方法对与规范场偶合的规范自对偶场进行了研究，获得了一个新的辛Lagrangian密度，导出了此系统的FJ广义括号，并对其进行了FJ量子化。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐