有限

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。

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。

Semilattice graded weak Hopf algebra is a special case of weak Hopf algebra and a generalization of Hopf algebras, in Section 1.3, we will give results and applications to the Maschke's and Dual Maschke's Theorem of semilattice graded weak Hopf algebra.

尽管有限Clifford幺半群的量子偶确实是有限群量子偶的一个推广，但是[L2]中的量子偶一般情况下是不能够看作是Hopf代数量子偶的一个推广，这是因为我们在[L2]中要求所有讨论的弱Hopf代数都是交换的。

Comparing these two results in view of computational efficiency and computational accuracy,it appears that MGM is superior to FDM in solving electrostatic field distribution for the electron optics problem.

通过与目前在场计算中常用的有限差分法进行比较，可以看出多重网格法的计算效率和计算精度优于有限差分法。

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。

In the end, the finite plate element method to unfold the curved surfaces is talked over in this chapter.

另外，在实际工程应用中，裁剪线两侧相邻的曲面片的边的边长在各自利用等效有限单元法展开时存在差异，且当曲面比较大时，这个误差较大，从而给施工带来不便，本章提出了修正的等效有限杆单元法，较好地解决了这个问题。

We give a theorem for the stable range of endomorphism rings of finitely generated projective modules over a formal triangular matrix ring T when T is an exchange ring.

2.6节对有有限exchange性质的形式三角矩阵环T给出了有限生成投射T-模的自同态环有稳定度n的一个具体关系。

Beijing's limited strategic entente with the United States and Europe during the 1980s had yielded limited but useful access to modern military technology.

北京有限的战略谅解与美国和欧洲在八十年代取得了有限的，但有用进入现代军事技术。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。