代数函数

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 .

数学上它们都是由双变量多项式定义的代数函数在Riemann曲面上的特定图形轨迹。

Mathematically they are certain plots on Riemann surface of algebraic function defined by two variable polynomial .

本文研究了代数函数在Riemann曲面上的图形绘制问题，由此提出了绘制广义根轨迹图与广义Nyquist图的可行方法。

This paper investigated the problem of how to obtain the plots of algebraic function on Riemann surface , and developed a feasible method for drawing the generalized root or Nyquist loci .

这篇文章给出了满足Mahler型代数函数方程的函数值的p-adic超越度量。

In this paper , we give the p-adic transcendence measures for the values of functions satisfying algebraic functional equation of Mahler type .

素除子在三次可分代数函数域中的分解

Decompostion of the Primes Divisors in a Cubic Separable Algebraic Function Field

代数函数逼近及其在微分方程数值解中的应用

Algebraic Approximation and Its Application in Solutions of Differential Equations

代数函数逼近及其应用

Approximation by algeb-raic functions and Its Applications

有限域上单变量代数函数域中的素数定理

Prime Number Theorem of an Algebraic Function Field of Dimension 1 over a Finite Field

求解了完整的二阶非线性微分方程，所得结果可以用代数函数来表示。

Two nonlinear differential equations are solved analytically , all results can be expressed by algeroidal functions .

对于代数函数列的极限的超越性，我们给出了一个定理。

We gave a theorem on the transcendency of the limit of a sequence of algebraical functions .

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 .

阐述了栅格图象处理过程中，对斑点噪声和无用数据的处理技巧，并且按照实施步骤列出了相应的地图代数函数。

This paper elaborated the handing skills for salt-and pepper noise and garbage raster data when processing the raster data , and has listed the corresponding map algebra implementation step .

在[5]中研究了两个代数函数取得若干公共值点集时，它们之间的关系，本文就这样两个函数取得某些不同重级值点及在考虑亏量的条件下，推广了这些结果。

In [ 5 ] , the relation between two algebroid functions sharing some values was investigated . We generalize these results , by considering different multiplicities and deficiencies of the shared values .

利用无穷级数可以将一些复杂的代数函数和超越函数展成简单形式，然后对其进行逐项微分或积分，进而对这些函数处理起来得心应手。

It makes a lot of complex algebraic functions and excessive functions become simple , and then we can differentiate or integrate term by term . Therefore , these functions can be done with easily .

无奇异方向的（m，n，ρ）级代数体函数

The ( m , n ,ρ) Order of Algebroid Functions without Singular Direction

一类代数体函数的唯一性NET类。

The uniqueness of a class algebroid functions NET , and also make a detailed exposition of key technology .

Clifford代数及其函数理论在力学上应用

Clifford Algebra , Theory of Its Function and Their Application to Mechanics

关于代数体函数Julia方向问题

The Julia Direction of Algebroids Functions

三值格代数逻辑函数POS形式最小化

The Minimization for Ternary Lattice Algebra Logical Function in the Form of Products of Sum

关于无穷级代数体函数Borel点的一个结果

A result of Borel point for Algebroidal Functions with infinite order

零级代数体函数涉及重值的Borel点

The Borel Point for Zero-Order Algebroidal Function with Multiple Values

关于有穷级代数体函数的T方向和Borel方向

On the T-direction and Borel Directions of Algebroid Functions with Finite Order

零级代数体函数的强Borel方向

The Maximality Borel Direction of Zero Order Algebroid Functions

代数体函数及其导数的涉及重值的Borel方向

On the Borel Direction Dealing with Multiple Values of Algebroidal Functions and Their Derivatives

单位圆内代数体函数的Borel点和Nevanlinna点

Borel Points and Nevanlinna Points of an Algebroidal Function in an Unit Circle

关于代数体函数的Nevanlinna第二基本定理

On the Nevanlinna second fundamental theorem of algebroid functions

本文在单位圆内对有穷正级的v值亚纯代数体函数定义了Borel点，并证明了其存在性。

In this paper , the author defines Borel point for v-value meromorphic algebroidal functions of positive finite order in | z | < 1 , and proves the existence theorem of it .

第四章考虑无穷级v值代数体函数w（z）T方向的存在性，同时给出了代数体函数的强Borel方向与T方向之间的关系。

In chapter 4 , we argued the existence of T direction for infinite order algebroidal function w ( z ) with v value . Synchronously , the relation between maximality Borel direction and T direction was given .

本文推广了代数体函数第二基本定理，该推广形式在某种意义下以亚纯函数的Hayman不等式为其特例。

The second main theorem of algebroid functions is extended to a new form which contains Hayman inequality of meromorphic functions as a special case .