菲尔兹在代数函数理论方面进行的研究颇有创见。
Fields did original research in the theory of algebraic functions.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
现有插值方法，一般都不把插值函数直接表示为代数多项式。
Interpolation methods so far available do not give the interpolating functions directly in the form of algebraic polynomials.
最后针对微分代数模型的励磁系统构造了存储函数，使得系统无源而保持内部稳定。
In the end the storage function was constructed for excitation system with differential algebraic model.
一系列的结论揭示了布尔函数的线性结构对其代数免疫阶的制约作用。
A series of conclusions reveals a linear structure of Boolean function restricts algebraic immunity.
该文讨论了单位圆盘上解析函数的加权代数ap中的闭理想问题，并且利用加权系给出了一个闭理想成为AP中的补子空间的判断准则。
In this paper, we deal with the closed ideals in the weighted algebras of analytic functions on the unit disc, and give a criterion to decide whether a closed ideal is complemented subspace in ap.
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.
讨论了逻辑函数在与-异或和或-符合代数系统中的RM展开式和CRM展开式。
The RM and CRM expansions in Boolean AND-XOR and OR-COINCIDENCE algebraic system are discussed.
有自己独特的运算结构和系统，并且与三角函数、平面几何、空间几何、代数等都有密切联系。
Vector has its operational method and system unique to number, and it is closely connected with algebra, geometry and so on.
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.
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.
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.
这是一个递归构造的方法，利用该方法，对任意的奇数，都可以构造相同变元数量的代数免疫最优布尔函数。
It's a recursive construction. Given any odd number, we can construct Boolean function with optimum algebraic immunity in the same number of variables.
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.
结果在拉格朗日的视野中，微积分是关于函数的一种代数形式演算，而函数是由一个解析表达式给出并且均可展成幂级数。
Results in perspective of Lagrange, the calculus was a kind of algebraic calculation of the function given by an analytical expression, which could be developed into power series.
结果在拉格朗日的视野中，微积分是关于函数的一种代数形式演算，而函数是由一个解析表达式给出并且均可展成幂级数。
Results in perspective of Lagrange, the calculus was a kind of algebraic calculation of the function given by an analytical expression, which could be developed into power series.
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