查询词典 algebra

On the basis of algebra invariant theory, the expression of Helmholtz's free energy for orthotropic material considering damage effect was derived. Then, the corresponding constitutive relationship and damage evolution equations were obtained, based on irreversible thermodynamics theory.

基于代数不变量理论，推导了具各向异性损伤的正交各向异性材料的Helmholtz自由能的表达式，同时应用不可逆热力学理论，建立了其损伤本构关系及损伤演化方程。

The inverse polynomial and the invertible affine transformation exist by the finite field, linear algebra and matrix theory. The invertible affine transformation and the inversion in are easily realized by using lookup table. An algorithm can be used to get the inverse element of modulo .

本文运用有限域、线性代数和矩阵理论，论证了逆多项式和逆仿射的存在性，并且应用查表法简捷地实现了中元素的求逆和逆仿射变换；设计了一个易于在在计算机上实现的算法，来求形如的多项式模时的逆元，该多项式的系数在上。

Linear algebra of matrix inversion, the use of this algorithm can...

线性代数中的矩阵求逆的问题，使用此算法可以简化矩阵的操作。

The properties of the max-plus algebra and the partial order, including monotone, invertibility and so on, were used to develop the computing approach to the MIM problem.

利用这个极大代数系统及其偏序关系的单调性、可逆性等性质，提出了一种HTEG最小初始标志的计算方法。

As an example of the application of some knowledge of Linear Algebra,this paper discusses the application of an invertible matrix in secure communication,some basic problems of this application,and the solutions to these problems.

作为工科"线性代数"课中相关知识的一个具体应用的例子，从理论与实践相结合的角度论述了可逆矩阵在保密通信中的应用及其存在的问题与对策等。

As an extension, we also obtain some sufficient and necessary conditions under which M_c is left Fredholm and left Weyl for some left invertible operator C, respectively.In chapter 2, the sufficient and necessary condition under which the difference of two idempotent operators on infinite dimensional Hilbert spaces is Fredholm (in-vertible) is discussed. In addition, some equivalent conditions under which products and differences of projections in a C~*-algebra are Moore-Penrose invert-ible are obtained.

来源：Ae5BCab论7a文网www.abclunwen.com对给定的算子对，给出存在左可逆算子C使得M_C左可逆的充要条件；存在可逆算子C使得M_C左可逆的充要条件；存在左可逆算子C使得M_C是左Fredholm算子的充要条件；存在可逆算子C使得M_C是左Fredholm算子的充要条件；存在左可逆算子C使得M_C是左Weyl算子的充要条件；存在可逆算子C使得M_C是左Weyl算子的充要条件。

We also discuss a natural involution of necklace Lie algebra .

我们还讨论了由重箭图自然自同构导出的李代数的一个自然的对合。

Moreover, by discussing the role of geometrical proof in Ars Magna and Cardano's attitude on irrational number, negative number and imaginary number, the paper points out that the role of geometry in Renaissance algebra had been tending weaker.

同时，通过考察几何证明在《大术》中所起的作用以及卡尔达诺对无理数、负数和虚数的处理，指出在文艺复兴时几何在代数学中的作用己逐渐减弱。

In chapter three, I study the isometric maps on non-self-adjoit AF C* algebra..

第三章中，主要是对非自伴的AF C~*-代数，讨论了它上面的等距映射。

Similar to the second conclution of chapter two, I also study the linear characterization of 2-local isometry on TUHF algebra. The way of proof is same.

第二方面类似于第一章中的第二个结果，讨论了三角UHF代数上的2-局部等距的线性性质，证明方法也是类似的。

Looking to bounce back from defeat against Cesena last weekend, the Calabrian boss will be sticking to his tried and tested 4-3-3, with Lopez and Sedivic joined up front in Giampaolo's absence by either Nanni or Plasmati.

鉴于上周末对切塞纳的比赛中反败为胜，这支南方球队将会更坚持其一贯而有效的4-3-3阵型，洛佩斯和塞德维奇将取代受伤缺席的詹保罗，和纳尼或者帕斯马蒂中的一个搭档锋线。

Meanwhile, their exposure to the more freewheeling ways of the West broadened dramatically.

另外，西方较自由的生活方式对年轻人的影响增大。