本文着重研究代数函数理论在计算数学领域中的问题和应用。
In numerical mathematics, it is interesting and of importance to study the theory of algebraic functions and its applications.
本算法通用性强，不须求解方程的根就可绘制各种代数函数及超越函数曲线；
This algorithm has a large adaptability of both algebraic and transcendental curves and solving the root of the function are not needed.
函数索引不能是内置的代数、指数、对数或十六进制函数。
A functional index cannot be a built-in algebraic, exponential, log, or hex function.
在大多数章节有数学要求，不过通常只是初等代数和函数图象，我希望大多数读者对这些要求没有问题。
There is some mathematics in most chapters, but it's usually just elementary algebra and plots of functions, which I expect most readers will be okay with.
代数体函数的第二基本定理是一个基本而重要的定理，但它是关于常数的，其适用范围有局限性。
The second fundamental theorem of algebraical functions is fundamental and important but it is about constant Numbers and its applicative area has a limit.
单极本征函数在不同动力学0(2,1)基底中的代数规律性表明径向相空间的对称性。
The algebraic regularity of monopole eigenfunctions in various dynamical0 (2, 1) basis shows the symmetry in radial phase space.
本文用代数方法讨论了传递函数的最小实现问题。
In this paper, minimum realization of transfer function is discussed with algebraic means.
采用样条插值函数将均匀介质的边界积分方程离散为代数方程组。
The boundary integral equation in homogeneous media was dispersed into algebraic equations through the use of spline function.
常系数的常微分方程变换为代数方程可以用于实现传递函数的概念。
Ordinary differential equation with constant coefficients transform into algebraic equations that can be used to implement the transfer function concept.
目前APOS理论在国外比较盛行，已经在函数概念、抽象代数、离散数学、微积分等多方面领域得到广泛应用。
APOS theory relatively prevails abroad at present and it has already been widely used in many aspects, such as function concept, abstract algebra, dispersed mathematics, calculus.
对于等同配位体的相互作用，以纯矩阵代数方法，得到饱和曲线，分子构象-配位体曲线以及某些关连函数等等。
For homotopic interaction, the saturation curve, molecular conformation vs ligand curve and certain correlation functions etc. are obtained by means of pure matrix algebra.
特别地，对称布尔函数已被证明了具有很高的代数免疫阶。
Symmetric boolean functions have been proved to be have high algebraic immunity.
讨论了基于代数距离的目标函数的几何意义。
The geometric meaning of the objective function based on algebraic distance is included.
首先从传递函数可否约分的概念出发，提出了可控可观测新的代数判据；
Starting from the concept of whether or not the transfer function can be made common denomination, a new algebraic criterion of controllability and observability is introduced.
提出了递归构造奇数变元代数免疫最优布尔函数的一个方法。
This paper presented a construction of Boolean function in odd variables with optimum algebraic immunity.
另外，他们连结几何学代数和量子理论，讨论迪拉克方程序，波函数和纤维包。
In addition, they connect geometric algebra and quantum theory, discussing the Dirac equation, wave functions, and fiber bundles.
它利用了不定导纳矩阵的概念，在符号网络函数的产生中应用了代数法与符号编码相结合的方法。
It is based on the concept of indefinite admittance matrix, and USES an algebraic method of symbolic code in the generation of symbolic network functions.
用倍角公式可将该三角函数方程转化成一个四次代数方程，然后用求根公式直接求出解析解。
Double Angle formula can transform the circular function equation to a biquadratic algebraic equation, and the analysis solution can be solved by extract equation directly.
应用GF (P)上的代数运算和单向函数，构造了一种不用通行字表的远程通行字认证方案，并对该方案进行了安全性分析和计算特性分析。
A remote password authentication scheme is given only applying some arithmetic operation and an one_way function in field GF (p), and analyses this schemes security and computing property.
最后求出多项式角动量代数的单玻色实现及其在有限维多项式函数空间的微分实现。
At last the deformed algebra's single boson operator realization and one differential realization under finite_dimensional spaces are deduced.
从复变函数理论出发，利用辐角原理、最大模原理、最小模原理给出代数学基本定理的几种新的证明方法。
This paper uses several methods of complex functions theorey to prove fundamental theorem of algebra by argument principle, maximum modulus principle and minimum modulus principle.
对实变函数中某些重要的定义和结论运用代数运算的方法作统一处理，从而为电子计算机在该领域的应用作一探索。
This paper intends to expound some important definitions and conclusions in real variable function by using algebraic operation, thus making a new approach to the use of computers in this field.
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.
针对代数法和卡诺图法难以化简规模很大的逻辑函数问题，提出使用蚁群算法处理大规模逻辑函数化简。
As algebra way and map way can not simplify the given large scale logical function, a new way using Ant Colony Algorithm to simplify large scale logical function is put forward.
借助覆盖向量刻画了代数免疫布尔函数的特征，给出布尔函数代数免疫不大于某确定值的充要条件。
A sufficient and necessary condition is given that the algebraic immunity of a Boolean function is not more than a fixed value.
本文讨论了三角函数在有理度数上的取值的代数性质，得出其取值均为代数数。
This paper discusses an algebraic property of values of rational degrees of triangle functions. We obtain that they are all algebraic Numbers.
本文讨论了三角函数在有理度数上的取值的代数性质，得出其取值均为代数数。
This paper discusses an algebraic property of values of rational degrees of triangle functions. We obtain that they are all algebraic Numbers.
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