生活中无形的不定方程！
给出了线性不定方程组与线性同余式组的新矩阵解法。
The matrix method of solving diphantine equations and congruence expressions is developed in this paper.
并且利用其结果得到了几类二元二次不定方程的整数解表达式。
And based on these results the expressions for some binary indefinite quadratic equations integer solutions are obtained.
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。
On the diophantine equation is the number one branch, it has a long history and rich content.
本文对在电路分析中遇到的两种不同类型的不定方程组，分别提出了判据。
In this paper the criteria for judging the two different types of indefinite equations encountered in circuit analysis are presented respectively.
利用不定方程理论及中国剩余定理，我们设计了一类陷门背包公开钥密码系统，它们具有更好的安全性。
Using the theorem of linear Diophantine equations and the Chinese remainder theorem, we have constructed a class of trap-door knapsack public-key cryptosystems, which have a better security.
首先给出了整数矩阵的定义及性质，然后讨论了它在求整数的最大公因数和解整系数不定方程中的应用。
This paper first gets definition and theorems of integers matrices, and then to discusses a new method to find the greatest common factor of integers and solves linear indeterminate equation.
本文给出一个不定方程非负整数解的组数的组合计数公式，说明了它在求解一类与数字有关的古典概率方面的应用。
This paper introduces the problems of some identical equation solved by the numerical characters of the classic probability and stochastic variable.
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。
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.
在这个由固定和不定因素组成的方程中有三个主要影响方面：打包、传输和解包过程中的数据。
The three primary areas in this equation consisting of fixed and variable factors are: the marshalling, transport, and unmarshalling of the procedure data.
再利用出现在挠度方程中的不定型式，我们可以找出计算临界力的公式。
Further, by making use of indetermined form appearing in the deflection equation, we can find out the formula for calculating the critical force.
该问题属不定问题，即根据探头测量的微小磁场所建立的方程组求得的未知脑磁源有无穷组解。
This question belongs to the indeterminate problem, that is, infinite solutions can be obtained from the equations of the measured small magnetic fields on the detector.
考虑到索穹顶结构属于动不定结构体系，文中还对动不定体系的求解过程进行了详细的推导，同时采用建立在大变形基础上的变形协调方程来求解结构体系的有限机构位移。
As the cable dome is a kinematically indeterminate system, its solving process is also derived in detail and the equations, which are based on large distortion, are adopted to solve the problem.
采用该方法对静不定动不定折叠体系进行了求解，确定了铰接式折叠结构的运动分歧点并求解了其高阶相容方程。
With this method the structural analysis of static and kinematic indeterminate foldable systems is conducted and the kinematic bifurcation points of pin-connected foldable structures along motion pat.
借助相应带不定权特征值问题的第一特征值建立了其非平凡解的存在性定理，其中方程组中特征值参数小于某已知常数。
The existence of a nontrivial weak solution is established with the help of the first eigenvalue of the corresponding eigenvalue problem, where the eigenvalue parameter is less than a known constant.
借助相应带不定权特征值问题的第一特征值建立了其非平凡解的存在性定理，其中方程组中特征值参数小于某已知常数。
The existence of a nontrivial weak solution is established with the help of the first eigenvalue of the corresponding eigenvalue problem, where the eigenvalue parameter is less than a known constant.
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