函数代数

The concepts of variable, function and their application are the kernels of algebra abstract thought.

变量和函数的观念及其运用又是代数抽象思维中最核心的部分。

Algebra abstract thought is a typical pattern of psychological activit...

变量和函数的观念及其运用又是代数抽象思维中最核心的部分。

Using orthogonal function expansion technique the problem can be summa-rized into the solution of infinite algebraic equation systems.

用正交函数展开的方法，将待解的边值问题归结为求解一组无穷代数方程组。

Engineers usually prefer to express the function as graphs rather than in algebraic form.

工程师通常喜欢把这些函数用图线来表示，而不愿意写成代数形式。

In chapter four, by the concept of negative definite of symmetry interval matrix, methods of analysis of interval matrix and the method of Lyapunov function, the robust absolute stability of Lurie control system with multiple nonlinearities was investigated, and some algebraic sufficient conditions in the form of inequalities of interval matrix were obtained.

在第四章，通过定义对称区间矩阵负定的概念，主要用区间矩阵分析技术和Lyapunov函数方法，研究了具多非线性的区间Lurie控制系统的鲁棒绝对稳定性，我们给出了此类区间Lurie系统鲁棒绝对稳定性的区间矩阵不等式形式的代数充分条件。

With the algebraic result in form of piecewise function expressions, the excitation and propagation processes of stress waves, including the longitudinal wave, the transverse wave, and Rayleigh-wave, are discussed in detail.

基于该分段函数形式的代数结果，纵波、横波、Rayleigh波等应力波成分在弹性表面的激发和传播过程得到详尽分析，其中很多结论是已有的解析积分结果或者数值计算结果不曾得到的。

Consider the identification of a continuous linear system The identification of its algebraic equivalent system or transfer function can be obtained.

在一般情况下，对于连续线性系统可以获得其代数等价系统或传递函数的辨识。

In this paper,the possessed knowledge on study generalized correlation-immunity is introduced,including stream ciphers system,Booleam function in ciphers,divide-and-conquer attacks,ungraduated ruler of correlation-immune.

文章介绍了研究广义相关免疫函数应具备的知识，包括：流密码体制、密码学中的布尔函数、分别征服代数攻击、相关免疫的界定。

As same as the above-mentioned reason, because theconditions at the inside straight boundary of the binarycomposite material can not be easily satisfied, here, anelastic circular inclusion with large radius is used to replacethe upper half space of the binary composite material, so the〓mary binary composite mater ial problem can be changed〓the scattering problem of a circular elastic inclusion andto the scattering problem of a circular eastic inclusion and〓circular cavity in an infinite space to the steady incident〓wave.

与前面两个问题的理由一样，同样，由于问题中双质复合材料的内部直边界上的边界条件不易解析满足，为此，本文采用了一个半径很大的弹性实夹杂来代替问题中双质复合材料的上半空间部分，而将原来的双质复合材料问题转化成了无限大空间中一圆形弹性夹杂和一圆孔对稳态P波的共同散射问题，根据该问题的特点写出了弹性夹杂内外波场中波函数的一般形式解，利用该问题中夹杂和圆孔处的位移和应力的连续条件，并采用复数傅立叶级数展开技术将其化为一个仅包含问题波函数中未知系数的无穷线性代数方程组，在满足一定计算精度的前提下，通过有限项截断进行近似求解，进而讨论了双质复合材料中圆孔边界处的动应力集中系数随不同入射角、圆孔的不同位置、以及入射波的不同无量纲波数的变化和分布情况。

Much of the terminology of morphisms, as well as the intuition underlying them, comes from concrete categories, where the objects are simply sets with some additional structure, and morphisms are functions preserving this structure.

例如，在集合论中，态射就是函数，在群论中，它们是群同态，而在拓扑学中，它们是连续函数。在泛代数的范围，态射通常就是同态。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。