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quadrtic diophantine equation 二次Diophantine方程
An elementary proof of the Diophantine equation (The equation abbreviated) is given by using recursion sequence method. 摘要运用递推序列法，给出组合数丢番图方程(方程式略)的一个初等解法。
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.
Conventional predictive control algorithm possesses good overall performance, but it needs to solve the complicated Diophantine equation. 摘要传统的预测控制算法虽然有着良好的性能，但是需要求解复杂的丢番图方程。
In this paper,we proposed the average order of the Primitive Pythagorean triplets on Diophantine equation a+4+b+2=c+2, and presented one asymptotic estimation formula. 研究了不定方程 a4+b2 =c2 的整数解的组数 ;并得到它的一个渐近估计式 .
Diophantine equation is an old problem, especially, it's more difficult to apply primary method to resolve the problems related to Diophantine equation. 不定方程是一个古老的丢番图问题，特别是应用初等方法去解决不定方程的有关问题更是不宜；
By elementary rank transformations of matrix, a method has been obtained to solve linear diophantine equation with some variables. The method overcomes the deficiency of traditional method. 摘要利用矩阵的初等列变换，给出了求解多元线性不定方程的一种方法，该方法改进了传统方法计算量大、步骤多的缺点。
Another name of indeterminate equation is Diophantine equation, it’s an important branch of the number theory, and also the most active in the field of mathematics through the whole history. 不定方程又称为丢番图方程，是数论的重要分支学科，是历史上最活跃的数学领域之一。
The parameters of the controllers are directly determined by successively solving two Diophantine equations. 通过有步骤地解两个刁番都方程来直接确定控制器的各个参数。
A Diophantine Equation in Combinatorial Theory 组合理论中的一个丢番图方程
On Integer Solutions to a Diophantine Equation 一类丢番图方程的解
ON THE DIOPHANTINE EQUATION 6y~2 = x(x + l)(2x +1) 方程6y~2=x(x+1)(2x+1)的解的初等证明
ON THE DIOPHANTINE EQUATION x~3+y~3+z~3=xyz 关于方程x~3+y~3+z~3=xyz
ONE RESULT OF THE HOMOGENEOUS DIOPHANTINE EQUATION 关于齐次方程一个结果
SOME REMARKS ON THE DIOPHANTINE EQUATION x 2-Dy 4=1 关于丢番图方程x~2-Dy~4=1的一些注记
On the Continued Pythagorean Diophantine Equation 关于连续勾股丢番图方程
On the Diophantine Equation (x~m-1)/(x-1)=y~n 关于不定方程(x~m-1)/(x-1)=y~n的可解性
On the Diophantine Equation ax~m-by~n=4 关于丢番图方程ax~m-by~n=4(英文)
On the Diophantine Equation of Unit Fraction 关于单位分数的丢番图方程
On the Diophantine equation a~x - b~y =14~z 关于方程a~x-b~y=14~z(摘要)