Diophantine Equation

An Exponential Diophantine equation concerning ideal class groups of imaginary quadratic fields

一类有关虚二次域理想类群的指数丢番图方程

Diophantine Equation Solution in CME Analysis

CME分析中的丢番图方程求解

One class of the Diophantine equation in continuous number

一类连续数方程

The algorithm only estimates two parameters without on line solving the Diophantine equation .

该算法仅在线估计两个参数，不用求解Diophantine方程。

On the Solution of the Third Order Diophantine Equation

关于三次Diophantine方程的求解问题

Solution of the Wiener Filtering Problem Using a Diophantine Equation

Wiener滤波问题的一种Diophantine方程解

On the Class Number of Positive Integer Solution of Multi-head Linear Diophantine Equation

一类多元一次不定方程的正整数解的组数问题

On the diophantine equation is the number one branch , it has a long history and rich content .

不定方程是数论的一个分支，它有着悠久的历史与丰富的内容。

A Diophantine equation over real quadratic fields

实二次域上的一个Diophantine方程

The fast algorithm not needs to compute the Diophantine equation and inversed matrices on line .

这种算法并不需要求解Diophantine方程及进行矩阵求逆运算。

Solution of linear Diophantine Equation with Some Varibles by Elementary Rank Transformations of Matrix

论初级阶段的社会主义用矩阵的初等列变换求解多元线性不定方程

A simple solution of Diophantine equation in multi - input and multi - output systems applying Matlab is presented .

本文提出了一种求解多入多出系统Diophantine方程的简便方法，并给出了基于Matlab语言的程序清单。

On the Diophantine Equation of Unit Fraction

关于单位分数的丢番图方程

The proposed methods , avoid the Riccati equation and Diophantine equation and can reduce the on-line computational burden .

本文提出的方法避免了求解Riccati方程和Diophantine方程，可减小在线计算负担。

A Note on the Trinomial Pure Exponential Diophantine Equation

关于三项纯指数Diophantine方程的一点注记

An elementary proof of the Diophantine equation ( The equation abbreviated ) is given by using recursion sequence method .

运用递推序列法，给出组合数丢番图方程（方程式略）的一个初等解法。

In the recent ten years , not only Diophantine equation itself develops very actively , but also promotes the development of other fields .

最近十余年，不定方程不仅自身的发展异常活跃，而且全面应用于离散数学的其他各个领域。

This paper introduce a kind of generalized Catalan number , give it combinational and obtain the solution of some Diophantine equation .

引进了一类广义Catalan数，并赋予这类广义Catalan数组合意义，用这类广义Catalan数得到一类不定方程的解数。

The Solutions of the Diophantine Equation about Abel-Difference Sets

与Abel差集有关的一个丢番图方程的解

Model reference adaptive controller which based on Diophantine equation was designed through the combine of model-matching system and recursive least squares parameter identification algorithm .

并将模型匹配系统和最小二乘参数递推参数辨识算法结合设计了基于Diophantine方程的模型参考自适应控制控制器。

On The Exponential Diophantine Equation

关于某些特殊的指数不定方程

The algorithm is more simple and dose not need solving Diophantine equation and the inverse matrix so that the on-line computation burden is strongly reduced .

该算法简单，不必求解Diophantine方程和逆矩阵，大大减小了在线计算量。

All the algorithms of GPC in Chapter II have to solve Diophantine equation and the inversion of big matrix online . So real time control is infeasible .

首先，在第2章介绍了广义预测控制的基本算法，其中所提的各种算法，均需在线求解丢番图方程和大矩阵求逆，运算量大，不利于实时控制。

An Enumerative Algorithm for Solving a Kind of Mixed Integer Bilevel Linear Programming Problem On the Class Number of Positive Integer Solution of Multi-head Linear Diophantine Equation

一类混合整数双层线性规划的枚举法一类多元一次不定方程的正整数解的组数问题

Implicit generalized predictive control algorithm which recognizes the controller parameter directly using the recursion least squares method is researched to avoid solving the diophantine equation and the matrix inverse .

由于广义预测控制算法中需要求解Diophantine方程并进行矩阵的逆运算，计算量较大。

In this thesis the basic principle of the Generalized Predictive Control ( GPC ) algorithm is introduced . Based on this algorithm , a modification of the Diophantine equation recursion is developed .

本文在介绍广义预测控制算法基本原理的基础上，对丢番图方程的递推求解算法提出了修正。

It identifies small parameters , and avoids online solving the Diophantine equation and inverse matrix . So the computation load of the algorithm can be reduced greatly , and real-time property is advanced .

算法在线辨识参数较少，又避免了Diophantine方程和逆矩阵的在线求解，进一步减少了计算量，提高了实时性。

The traditional generalized predictive control algorithm has a huge calculation burden resulting from solving Diophantine equation . Aiming at this problem , a generalized predictive controller based on Toeplitz predictive equation is presented in this paper .

针对传统的广义预测控制算法需要求解Diophantine方程，具有较大计算负担的问题，本文设计了基于Toeplitz预测方程的广义预测控制器。

Secondly , the thesis aimed at traditional GPC which use Recursive Algorithm to avoid Online Solving Diophantine Equation , but with the problems of large computation and numerical morbidity . Thus , the Stair-like General Predictive Control had been proposed .

其次，针对传统的广义预测控制，其虽然利用递推算法来避免在线求解丢番图方程，但是计算量仍然很大并且会出现病态数值的问题，从而给出了阶梯式广义预测控制。

Based on the relationship between the discrete-time difference equation and its observable state-space canonical form , the explicit solution to Diophantine equation in generalized predictive control is derived . Thus the recursive solving of Diophantine equation can be avoided and applications of generalized predictive control becomes much more convenient .

利用被控对象的离散差分方程与其状态空间能观标准型之间的关系，推导出广义预测控制中Diophantine方程的显式解，从而避免了其递推求解，使广义预测控制的应用更加方便。