查询词典 self dual

Assume a Lie algebra g has a form B which has all the useful properties of Killingform:bilinearity nondegeneracy,symmetry and invariance.Note that for such a Liealgebra the adjoint representation is equivalent to the coadjoint representation.We callit a symmetric self-dual Lie algebra and the form B an invariant scalar product.

在第一部分的最后一节，我们引进了拟Heisenberg代数的概念，证明了这些李代数均为具有非极大秩的CN李代数，进一步我们还证明了这些CN李代数构成的集合与极大秩幂零李代数构成的集合之间存在着1-1对应关系。

We prove that any irreduciblesymmetric self-dual Lie algebra 〓 whose Cartan subalgebra consists of semi-simpleelements is in one of the following classes:(1)〓 is simple;(2)〓 is 1-dimensional;(3)〓is solvable.

第五节讨论Cartan子代数由半单元构成的对称自对偶李代数的结构，证明了不可约对称自对偶李代数g如果它的Cartan子代数由半单元构成，那么它只能是下列情形之一：（1）g为单李代数；（2）g是1维的；（3）g是可解的。

In section 7,we give a way to construct even dimensional symmetric self-dual Liealgebras from the point of view of cohomology.

在最后一节中，我们从上同调的观点，给出了偶数维对称自对偶李代数的一种构造方法。

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。

At length 50, we got 3 inequivalent extremal self-dual [50,25,10] codes.

将这个性质用在寻找长度为66的自对偶码，我们得到至少五十个对应於w2互不等价的极端自对偶[66，33，12]码与一个对应於w1，β=32的极端自对偶[66，33，12]码；用在寻找长度为50的自对偶码上，我们得到三个互不等价的极端自对偶[50，25，10]码。

It is proved in this paper that R/ is a principal ideal domain, where R=F+uF+…+u(superscript k-1)F, n is odd, and p is a prime number, and some necessary and sufficient conditions for the cyclic codes over R to be self-dual are given.

该文证明了R/是主理想环，其中R=F+uF+…+u(上标 k-1)F，n是奇数，p为素数，给出了环R上循环码是自对偶码的充要条件。

In the Ashtekar theory,tetrads and complex self-dual connection one-formsare considered as fundamental field variables of four dimensional gravity.

阿西特卡理论是以标架和复自对偶联络一次形式作为描述引力场的基本变量。

A parametric self-dual gravitational theory is established.

建立一个参数化的自对偶引力理论。

The main advantages of the methods are easy programmability and possible detecting other particular logic functions such as symmetric function, self-negative function and self-dual function simultaneously.

该方法的主要优点是可以同时检测其他特殊逻辑函数以及易于计算机编程操作。

Butterfly, a symbol of what a wonderful dream, cat, dog, red, ice, snow, gentle, love is perhaps the subconscious of the young painter Perishable's Lament, the longing for love, for self-dual or cold lonely heart ridicule, Kogusu, daffodils Years Old Little Love, a white flower buttercup, blue water rafting around the situation so much a painter's friend, rather, is with the self-life aesthetic of beauty, purity, free abstract ideal reflection and youth Imagine interpretation, these works reveal the artist in the virtually real and realistic three-dimensional puzzle, showing the deep spirituality of individual aesthetic white, innocence, kindness, fantasy, sincere, innocent and beautiful.

蝴蝶，多么美好的梦的象征，猫咪、小狗、红线、冰、小雪、温柔、爱或许正是画家潜意识对青春易逝的感喟、对爱的渴望、对自我内心孤寂的偶或冷嘲，小楠、水仙、小娜、小爱、白色花毛茛、碧波泛舟与其说是画家周遭情境中的朋友，毋宁说是对自我生活审美与对美好、纯洁、自由的理想化抽象观照与青春畅想演绎，这些作品于无形中透漏着画家的立体真实和现实困惑，透出了审美个体性灵深处的洁白、无邪、善良、梦幻、真诚、天真和美丽。

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