自对偶的

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。

Uncertainty theory is a branch of mathematics based on normality, monotonicity, self-duality, countable subadditivity, and product measure axioms.

不确定理论是基于规范性、单调性、自对偶性、可列次可加性和乘积测度公理的数学系统，是研究不确定现象的数学分支。

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。

First of all,by use of the modern differential geometry and the double complex functionmethod,the definitions of dual and self-dual operators as well as ordinarycomplex Ashtekar connections are extended into parametric forms.

首先利用现代微分几何和二重复函数方法将对偶，自对偶算符的定义以及普通复阿西特卡联络推广为参数化形式。

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。

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。

The main aims of this disseration are to extend the complex self-dual grav-itational theory-the Ashtekar theory in four dimensional spacetime and este-bhsh a parametric self-dual gravitational theory in order to solve the problemof reality conditions in the Ashtekar theory.

本文的主要目的是推广四维时空的复自对偶引力理论-阿西特卡理论，建立一个参数化的自对偶引力理论，进而解决阿西特卡理论中面临的至关重要的实性条件问题。

We present our Monte Carlo results of the random-bond Potts ferromagnet with the Olson-Young self-dual distribution of quenched disorders in two dimensions.By exploring the short-time scaling dynamics,we find the universal power-law critical behavior of the magnetization and Binder cumulant at the critical point,and thus obtain estimates of the dynamic expontent z and magnetic exponent η,as well as the exponent θ.Our special attention is paid to the dynamic process for the q=8 Potts model.

以蒙特卡罗模拟方法对自对耦分布二维随机链q态Potts模型的短时临界行为进行了数值研究，利用初始非平衡演化阶段存在的普适幂指数和有限体积标度行为，数值模拟了在不同形式随机分布时q=3和q=8态Potts模型磁临界指数η和动力学临界指数z，计算结果发现η不依赖于自对偶无序分布的具体形式，从而以数值方法给出了一个关于淬火掺杂自旋系统的临界普适行为的验证。

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。