查询词典 finite dimensional

Birkhoff, every finite distributive lattice is isomorphic to the lattice of all filters of a finite partially ordered set.

由G.Birkhoff的一个基本定理，每个有限分配格同构于一个有限偏序集所有滤子的格。

When the temperature distribution is analyzed, finite element reseaus are divided in space field and finite difference reseaus are divided in time field and then, the program is compiled.

截面温度场分析在空间域内采用有限元网格划分，在时间域内则用有限差分网格划分。

Then the fundamental equations for plate/shell bi-nonlinear finite element model were set up with layered finite method. the fundamental geometric nonlinearity equations for the unbonded prestressed tendon and double spring element were proposed, and the double spring element was used to simulate the interaction of unbonded prestressed tendon and deviator.

最后，针对配置体外CFRP预应力筋混凝土梁的受力特性，对各规范和规程中的裂缝计算公式进行了相应的修正，建立了适用于配置体外CFRP预应力筋混凝土箱梁和T梁短期和长期裂缝宽度的计算公式。

Based on the analyzing of finite field multiply operation, Matlab was used to simplify the sections which were complex and resource-consumed. As a result, a simple form of combinational logic was obtained. And bit-parallel multipliers under nature or dual basis were designed separately in finite-field with VHDL language.

在分析有限域乘法运算法则的基础上，用Matlab简化其复杂而消耗资源的部分，得到形式简单的组合逻辑，并用VHDL语言分别设计了有限域GF(2m)中自然基和对偶基下比特并行乘法器。

These kinds of analytical elements can describe the crack tip fields for the Dugdale model and can also be combined with the ordinate finite elements to form the semi-analytical finite element method.

该类超级单元能够准确地描述基于Dugdale模型的裂纹尖端场，可与普通有限单元相结合，构成半解析有限元法。

Based on Wilson\'s lemma on evenly distributed differences, elementary number theory and fundamental theory of finite field, the finite field construction for strict optimal OOCs is proposed and the basic idea of this construction is investigated. The main steps and flow chart of assistance design by computer are obtained.

3基于Wilson均匀分布差引理、初等数论及有限域的基本理论，提出一种严格最佳光正交码的有限域构造法，对该构造法的基本设计思想进行深入的理论分析，得到该构造法计算机辅助设计的主要步骤及流程。

Within this context, four specific areas are addressed:(1) By means of finite integration technique, a new kind of the first order partial difference equation is derived from the original disperse transmission line equation of the uniform waveguide's. As it is the kind of one dimension Dirichlet's boundary problem, it is convenient for us to solve this equation from the leapfrog scheme. Because computation is carried out in one dimension, both high calculation efficiency and precision have been obtained in this method. Meanwhile, this method provide us a different selection to simulate the transient response of waveguide with non-simplical, for examples cylinder and elliptic waveguide, and avoid solving the second order equation, or using finite difference time domain to simulate a three dimension problem, sometimes the latter precision is not satisfied with the need, or low efficiency.

在这一研究内容下，主要研究四个方面的问题：(1)在完成金属波导传输线方程时域形式的基础之上，应用有限积分技术，把波导特征模式的色散传输线方程，化简为一组新的一阶偏微分方程组，该边值问题属一维Dirichlet边值问题，从而便于用蛙跳格式求解，由于是在一维中计算，该方法具有很高计算效率和精度，从而避免了以往为得到金属波导中特征模的时域响应特性，须要求解二阶方程，或用时域有限差分方法求解三维问题的方法，对于后者来说，计算有时是不准确的，或是很耗时的例如计算诸如圆波导、椭圆波导等其它复杂形状的波导。

Proceed from general conclusion of algebra on the finite field, study this special algebra system of Elliptic Curve on the finite field, Discuss that sets up several theories of the Public Key Cryptosystems and the problems of implementation on it.

从有限域上的代数的一般结论出发，研究有限域上的椭圆曲线这一特殊的代数系统，讨论在其上建立公钥密码体制的若干理论和实现问题。

The finite element stiffness matrix of the equivalent beam or pipe of the cracked leg of the platform is derived using the finite element method.

采用有限元分析方法和断裂力学方法，将含裂纹构件的裂纹段以线弹簧处理，建立了带有裂纹损伤桩腿的等效梁和管单元的单元刚度矩阵的计算方法。

E. new extrapolation value s of finite element solutions on the first two level grids are used to provide the good initial value s on the third level grids and then an exacter finite element solution can be obtained by several CG-iterations.

摘要提出一种求解大规模有限元方程组的新外推多网格法，即用前两层网格上有限元的新外推值提供第3层细网格上的好初值，然后用几次CG-迭代能得到较准确的有限元解。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。