代数

A calculating method for finding the induced geodesic torsion was developed by using differential geometry and other mathematics tools.

为了分析线接触共轭齿面的诱导短程挠率，并清楚地诠释有关公式及计算推导的过程，运用微分几何、向量代数、线性代数等数学工具，寻找了一种计算诱导短程挠率的方法。

Let G be semisimple matrix group with Lie algebra g, T a fixed maximal abelian subalgebra of g, T the orthogonal complement of T with respect to the Killing form of g, and a, b 6 T a fixed regular elements.

设G为半单矩阵群，g为其Lie代数，T(来源：ABC论文91网www.abclunwen.com)为g的极大交换子代数，T~⊥为T关于g的Killing型的正交补，a，b∈T为固定正则元。

One points at a sequence of one sparse linear algebra system of equation ,utilizing frequent treatment sparse matrix data structure at present that is according to the competent store structure, design the law of conjugation gradient method which solves the equation group of the sparse linear algebra of asking analyses the complexity of calculating.

第一部分针对一类稀疏线性代数方程组，利用目前国际上使用比较频繁的处理稀疏矩阵的按行稀疏存储结构，设计了求解稀疏线性代数方程组的共轭梯度法，并分析计算复杂度。

Second, we give a detailed description of the structure of closed Lie ideals in a finite CSL algebra Alg of simple Groupoid C~*-algebra B.

其次刻画了单的Groupoid C~*-代数B中的有限CSL代数Alg的闭Lie理想。

He has been working on the teaching of Higher Mathematics, Linear Algebra, Probability Statistics, Higher Algebra, Matrix Theory, Mathematical Statistics, and Stochastic Process, etc.

从事高等数学、线性代数、概率统计、高等代数、矩阵理论、数理统计、随机过程等课程。

The arguments on the necessary for quantized evaluation toward quality of services of multicast in Overlay networks are given. The concept of twodegree homeomorphism reduction multicast tree is introduced, extend Bowman's method for evaluating QoS of unicast dataflow by using stochastic process algebra is promoted, a modeling scheme is proposed for quantized evaluating QoS of concrete multicast instances in Overlay networks with simulation tool PEPA workbench.

论述了对Overlay网络中组播的服务质量进行量化评价的必要性，引入了组播树二度同胚约简的概念，推广了Bowman评价单播数据流服务质量的随机进程代数方法，提出用随机进程代数对Overlay网络中组播的服务质量进行评价的建模方案，并用PEPA workbench模拟工具针对具体的组播实例的服务质量进行了定量分析。

Notable examples are the development of category theory, which provides a useful framework for a large part of mathematics, homological algebra, and applications of model theory to algebra.

比较明显的例子是范畴论的发展，范畴论对数学，同调代数，以及模论在代数上的应用都提供了一个十分有用的框架。

The Weil Descent's algebraic method for DLP in the Jacobian of hyperelliptic curves which generalized by Galbraith is analyzed, and the problem of whether or not the Weil Descent'method can be used to attack the HCDLP with the form of y〓+xy=f defined over GF is discussed in detail.

研究了Galbraith提出的对超椭圆曲线的离散对数问题的WeilDescent代数攻击方法，对定义在GF上的形如y〓+xy=f的HCDLP能否用Weil Descent代数方法攻击作了详细讨论。

Actually function-tree is an application of Boolean theory. Function-tree can be optimized by using absorptive law and idempotent law in Boolean algebra to remove redundant information.

功能树本质上可视为是布尔代数理论的一种应用，从而利用布尔代数的吸收律、幂等律来消除功能树中的冗余信息，对功能树进行优化处理。

And provides with the basis ofproblems for a further reseach in the imaginary root system of algebras ID.

本文构造了不定型Kac－Moody代数IDn的结构，为进一步研究不定型Kac－Moody代数IDn的虚根系等问题打下基础。

And discuss some key point of integrated management system design, include hazard identification and risk assessment and risk control in the occupational health and safety management, the measure of satisfaction target of customer, the flawlessness of law system, the integration of the integrated management system and enterprise standardization system, unify lead institution and work orgnization, integreted internal audit and integrated management review.

同时，论述了一体化管理体系构建中的几个主要问题，包括职业健康安全管理中的危险源辨识、风险评价和风险控制、顾客满意度的科学监测、法律、法规体系的完善、一体化管理体系与企业标准化体系的有机结合、统一的领导机构和工作机构、一体化的内部审核和管理评审。

Deepwater Taranaki is investigated for its petroleum potential, using all available seismic data tied to shallow-water wells.

运用与浅水井相关的现有全部震波探测数据考察了深海区塔拉纳基盆地的油藏前景。