查询词典 algebra of tensors

In tensor algebra the vector appears as a speical case of a more general concept, which includes stress and inertia tensors

在张量代数中，矢量是做为更普遍的概念的一种特殊情况出现的，这种更普遍的概念包括应力张量和应变张量。

This method is based on tensor and tensor algebra. To utilize the multidimensional data of the remote sensing image, the vector-based learning machine is generalized to the tensor-based learning machine which accepts tensors as input, then the convex optimization theory and the alternating projection procedure are used to get the solution of the TLM.

该方法基于张量数据模型和张量代数运算，针对遥感影像数据多维或高维的特点，将基于向量的监督法学习机扩展为基于张量的监督法学习机，然后利用凸函数最优化理论和交互投影迭代法求得张量学习机的最优解。

From the view of the number of composition series and table subset of order or elementary abelian table algebra is depicted by making use of fundamental theorem on homomorphism of table algebra.

分别从合成列及表基的p阶、阶表子集的数目角度刻画了初等abelian表代数。

Arad and Blau proved that an abelian table algebra can be viewed as a group algebra of some abelian group G. Chapter 3 of this paper gives the structural theorem of abelian table algebras by defining a group structure in table basis. Furthermore, the structure of elementary abelian table algebras is discussed using the number of composition series of table algebras.

Arad和Blau证明了abel表代数等价于某个有限生成abel群G的群代数，受此启发本文第3节通过定义表基的一个群结构给出了abel表代数的结构定理，并从合成列数目的角度对初等abel表代数进行了细致刻画。

Also prove that every bounded linear approximately local Hilbert space representation of a abelian von Neumann algebra is a representation,every bounded linear approximately 2- local Hilbert space representation of a von Neumann algebra is a representation.

同时证明了交换von Neumann代数的有界近似局部表示是表示，每个von Neumann代数的有界近似2—局部表示是表示。

Secondly, it has drawn out the pointed YD-Lie algebras definition, in the category of Yetter-Drinfeld modules, let Z be a torsion-free abelian group, if we have a symmetric braiding c, for each G-graded algebra V over the G-graded space, a new Lie superalgebra with an operation _c satisfying an actions, then we can obtain a new Lie superalgebra, this paper to call it pointed YD-Lie algebra.

其次引出了点YD-李代数，即：在Yetter-Drinfeld模范畴中，对任意的一个G-分次代数Z(G为无挠群V，引入对称辫子c后，在V内作_c运算，即可得到一种新的李代数(本文称之为点YD-李代数)。

Vector spaces are a central theme in modern mathematics ; thus, linear algebra is widely used in both abstract algebra and functional analysis .

向量空间的一个中心主题在现代数学，因此，线性代数被广泛使用在抽象代数和功能分析。

In addition to calculus with linear algebra, I had two semesters of mathematical analysis, partial differential equations, abstract algebra was also a senior this semester in the measurement theory.

除了微积分跟线性代数，我还上了两个学期的数学分析，偏微分方程，抽象代数还有在大四这个学期上的测量理论。

Mode of exquisite visual is a visual image thinking in comparison to understand some of the more abstract algebra problem for preliminary exploration mode, the purpose is to make the direct-viewing can better applied to high school algebra teaching

模式直观讲究的则是一种以比较直观形象的思维来理解一些较为抽象的代数问题，为此初步探索模式直观的目的在于使之能够更好地应用到中学代数教学之中。

I am a professor of the Department of Applied Mathematics at Xiamen University, a doctoral supervisor, and also the mentor of Mr. Ben Niu in the course Linear Algebra and the course Abstract Algebra. Therefore I have good knowledge of his academic capabilities and potential, so to speak...

我是厦门大学数学系教授、博士生导师，也是牛犇线性代数和抽象代数的授课老师，可以说我对他的学习能力和发展潜力是比较了解的，听说他正申请攻读贵校的硕士研究生课程，我当然全力支持。。。

Finally it offers the analysis of the fault-tolerance system as well as its test verification.

这样，运行于空间环境中的系统的设计目标就是在保证系统实时性

However, it is still difficult to find out the real reason of the increase of the keratinized gingiva during the orthodontic extrusion whether it is due to the proliferation of the gingival tissue or to its elastic nature, that is because the proliferation of the fibroblasts as well as the connective tissue changes in volume and the intra-fibers spaces were all immeasurable in most of the studies.

然而，仍然难以找到真正的原因增加的角化牙龈在正畸挤压它是否是由于扩散的牙龈组织或其弹性性质，这是因为增殖的成纤维细胞以及作为结缔组织的变化量和内部纤维空格都是不可估量的，大多数的研究。