函数代数

作为应用证明了一定的由高维立方体矩阵函数代数作为构成体的单AH代数为AF的。

Also it is proved that certain AH algebras from high dimension cube are AF.

并进一步证明了在复平面C上，任意区域的拓扑边界上的连续函数代数的K1群与它边界上的同伦群同构。

And prove that the cohomotopy groups is isomorphic to K_1-group of the continuous algebra on topological boundary of domains in C.

在Poisson几何里，由于代数A是指一个Poisson流形上的光滑函数代数，因此作为结合代数，A是可交换的。

In Poisson geometry , A is commutative in associative sense , because A is the algebra of smooth functions on a Poisson manifold .

本文通过六项正合列计算出，在强拟凸域上，它的拓扑边界上连续函数代数的K（1-）群同构于区域上Toeplitz代数的K1-群与Z的直和。

In this paper , from the six-term exact sequence , it is proved that the direct sum of Z and K1 - group of a Toeplitz algebra is always isomorphic to the topological K1 - group of the boundary of the relative domain .

弱函数代数与函数代数的插补集

Interpolation Set of Weak Function Algebra and Function Algebra

本文将F.GROSS关于两个亚纯函数代数相关定理作一推广，给出了两个亚纯函数在级较低的亚纯函数域上的代数相关性，并讨论了整函数的情形。

In this paper , two results with functions that are low order instead of all constants in the algebraically dependent theorem of two meromorphic functions by F. Gross are established .

该方法构造的布尔函数代数免疫最优，具有优良的代数次数和非线性度，并且与之前的二阶递归构造法相比，它具有更加优良的平衡性。

The constructed Boolean functions have not only optimum algebraic immunity but also high algebraic degree and nonlinearity . Compared with the former recursive construction , they are much more balance .

证明了这两类布尔函数代数免疫最优的充要条件，并进一步解决了其中代数免疫最优部分函数的计数问题。

For each class , we prove the necessary and sufficient condition for having optimum algebraic immunity . Then we enumerate all the Boolean functions with optimum algebraic immunity in the two classes .

素域Zp上n变元n-1阶相关免疫多值逻辑函数的代数结构

The Algebraic Structure Analyses of Balanced Correlation-immune p-valued Logical Functions over Field Z_p

环Z（p~r）上平衡相关免疫多值逻辑函数的代数结构分析

Algebraic structure analyses of balanced correlation immune m-valued logical functions over ring z_pr

基于矩阵符号函数求解代数Riccati方程的ANN方法

The ANN Method for Solving Algebraic Riccati Equations Based on the Matrix Sign Function

2）证明了n元非线性布尔函数f代数免疫性和非线性度之间的相互制约关系：当AI（f）>d+1时，则（？）

2 ) A relation between algebraic immunity and nonlinearity : when AI ( f ) > d + 1 , we have (?)

简谐振子波函数的代数解及Hermite多项式的递推

Algebraic Approach to Wave Function of Harmonic Oscillator and Recursion Relations of Hermite Polynomial

一维谐振子不确定关系的一种简明推导方法简谐振子波函数的代数解及Hermite多项式的递推

A Simpler Deduction of the Uncertainty of the One-dimensional the Harmonic Oscillator ; Algebraic Approach to Wave Function of Harmonic Oscillator and Recursion Relations of Hermite Polynomial

可微函数用代数多项式逼近的渐近不等式

On the Asymptotic Inequalities of Approximation of Differentiable Functions by Algebraic Polynomials

对多输出布尔函数的代数免疫阶进行了研究。

We study the algebraic immunity of multi-outputs Boolean function .

m值逻辑函数的代数标准型

The Algebraic Normal Form of m - value Logical Functions

函数程序代数理论进展与应用

Developments and applications of theory of functional program algebra

向量值函数的代数免疫度与非线性度

The Algebraic Immunity and Nonlinearity of Vectorial Boolean Functions

布尔函数的代数免疫性与设计准则

Algebraic Immunity and the Design Criterion of Boolean Function

布尔函数的代数因子分解

The Algebraic Decomposition and Factoring of Boolean Functions

该方法构造的布尔函数不但代数免疫最优，而且是完全平衡的。

The constructed Boolean functions are completely balanced .

多值逻辑函数模代数标准展开式系数的公式解

The formal solution for coefficients of the standard expression of modular algebra in multivalued logic

布尔函数的代数免疫性研究

Algebraic immunity study of boolean functions

产生线性有源网络全符号网络函数的代数法和计算机实现

The Method and Realization with Computer Fully Symbolic Network Function in Linear Active Network Via Exterior Algebra

本文研究了某些用无穷乘积定义的函数在代数点和超越点上的值的代数无关性。

In the present note the algebraic independence of values of certain functions denned by infinite products at algebraic and transcendental points is given .

本文根据布尔减-异号、除-符合代数系统中的规范展开式，给出了布尔减-异或、除-符合逻辑函数的代数化简法和图形化简法。

Based on the standard expansions of Boolean SUBTRACTION-XOR , DIVISION-COINCIDENCE algebraic system , the methods of algebraic and graphic minimization about SUBTRACTION-XOR , DIVISION-COINCIDENCE logic functions are given .

解决拟合问题的方法基本上分为两类：目标函数基于代数距离和目标函数基于垂直距离。

The method to resolve the fitting problem basically divided into two categories : the objective function based on the algebra distance and the objective function based on the vertical distance .

在此基础上提出了减-非和除-非逻辑函数的代数化简法以及图形化简法，并给出了化简实例。

The simplification formulas for the above logic functions are given , based on which , the algebraic and graphic simplification methods for the subtraction - NOT and division - NOT logic functions are proposed , and several simplification examples are given .

其次，该文通过研究（5,1,3,12）旋转对称饱和最优函数的代数免疫和一类构造函数的代数免疫，证明了一类函数为代数攻击不变量，并对此性质作了进一步推广。

Then , by studying the algebraic immunities of ( 5,1,3,12 ) rotation symmetric saturated best functions and a type of constructed functions , a class of functions are proved to be invariants of algebraic attacks , and this property is generalized in the end .