查询词典 algebra of tensors

It includes symbolic logic, set theory, graph theory and algebra system.

本课程主要包括数理逻辑、集合论、图论、代数系统四部分内容。

In section 2,we characterize the minimal ideals of finite dimensional symmetricself-dual Lie algebras over the complex field and gives an optimistic lower bound for thedimension of the space of invariant symmetric bilinear forms on a symmetric self-dualLie algebra by means of the number of linearly independent minimal ideals.

在第二节中，我们完全刻划了有限维对称自对偶李代数的极小理想；用线性无关极小理想的个数给出了一个对称自对偶李代数上由不变对称双线性型构成的线性空间维数的最好下界

By the utilization of the symmetric characteristic of the tensor,algebra relation between the elements in the tensor and refraction index ellipsoid equation,an approach base on Attenuated-total-reflection technology was proposed for the measurement of the QEO coefficient of the organic polymer.

利用该张量的对称特性、各个元素之间的已知关系以及折射率椭球公式，本文提出了一种基于衰减全反射技术的测量有机聚合物二次电光系数的方法。

By the utilization of the symmetric characteristic of the tensor, algebra relation between the elements in the tensor and refraction index ellipsoid equation, an approach base on Attenuated-total-reflection technology was proposed for the measurement of the QEO coefficient of the organic polymer.

有机聚合物材料的二次电光系数是衡量其二次电光效应的一个重要参数，其可以用一个6×6阶的张量来表示。利用该张量的对称特性、各个元素之间的已知关系以及折射率椭球公式，本文提出了一种基于衰减全反射技术的测量有机聚合物二次电光系数的方法。

Computational synthetic geometry is now a branch of computer algebra .

相反，这种办法对于几何作为一个封闭的系统，最终在Hilbert的公理，被视为重要的教学价值，最现代的几何形状是一个风格。

Results The four main mathematical branches in 17th century are considered roundly in the general view: analytic geometry,calculus,algebra and synthetic geometry.

结果17世纪数学形成四大分支———解析几何、微积分、代数和综合几何。

This paper, based on the secong approach, presents a new efficient algorithm to design symmetric bi-orthogonal M-band wavelets with arbitrary regularity by using Grobner basis and syzygy module algorithm in computing algebra, which bi-orthogonalizes the polyphase matrix line by line.

本文基于第二种思路结合计算代数中Groebner基和合冲模的思想和算法提出了一种同时具有任意正则阶和线性相位性质的M带双正交小波的新型高效构造算法，其中采用多相位矩阵逐行双正交化的方法。

We present a method to design symmetric orthogonal M-band wavelets with arbitrary regularity by using Grobner basis and syzygy module algorithm in computing algebra to orthogonalize the polyphase matrix.

通过引入计算代数中Grobner基以及合冲模的相关算法，提出对多相位矩阵进行正交化，从而得到了同时具有对称性和任意正则阶的M-带正交小波的高效设计方法。

This method is based on tensor and tensor algebra.

中文摘要：提出了一种基于张量学习机的遥感影像目标探测方法。

In this part, a new method, using tensor algebra, is developed to yield any order approximate analytical solution of a universal nonlinear dynamic system equation, which is abstracted from a large class of nonlinear dynamic systems in many different disciplines.

该篇采用张量代数，首次用严格的分析方法获得了适合不同学科的、普遍的非线性动力系统方程任意阶近似解析解。

The witness also told the jury at the Royal Courts of Justice in London that he saw a paparazzo fighting with a member of the public who was trying to stop him taking pictures in the minutes before the emergency services arrived.

他还告诉在伦敦皇家法庭的陪审团，在急救服务到来之前，他当时看见一个狗仔队正和一群阻止他拍照的人打架。

The entire N／C program on a tape is made up of an accumulation of these successive data blocks.

纸带上的整个数控程序由这些连续数据单元连接而成。