用牛顿迭代法求解方程的一个实根。
Newton iteration method for solving equations with one real root.
用严格的分波法求解方程并进行计算。
通过源迭代法求解方程。
At last, the equations are solved by source iteration method.
列向量的诸元素为诸赘余力，可求解方程来得到。
The elements of the vector are the redundants which can be obtained by solving.
从数学上来说，就是用“根分离法”来求解方程序。
In the mathematical sense this is to solve the equation by means of separation of roots.
使用FORTRAN语言编程求解方程，得出压力值。
FORTRAN language is used to solve the equation, and the pressure value is obtained.
根据分区广义变分原理，直接导出问题的求解方程式。
Based on the sub-region generalized variational principle, the solving equations of the problem are derived directly.
它可以不受计算域形态的限制，也不受求解方程形式的限制。
Further, the shape of computing zone and equation form, etc, would not limit this parallel means.
介绍了输气管道泄漏率的大孔模型和管道模型的特点及求解方程。
Study on the leak rate of fluid in welded pipes in leak-before-break analysis;
这类方法具有基数型、显式计算（无须求解方程组）及局部性等优点。
This kind of schemes has advantages such as cardinal type, explicit calculation(no need to solve system of equations) and localization.
通过对混合复消色差透镜组的像差分析导出了其结构参数的求解方程。
The equations for solving the configuration parameters of hybrid apochromats are derived by Seidel aberration analysis.
求解方程组可得到结构特征值的均值和均方差的统计特征的数值表达式。
By solving these equations, statistical expressions of expectation and mean square covariance about eigenvalues will be gotten.
对称的特性也可用来节省矩阵求逆中或求解方程中所需要的一部分计算量。
The property of symmetry can also be used to save a part of the computational effort required for matrix inversion or for a solution of equations.
引入改进模拟退火算法进行全局最优化求解方程，并给出程序编制流程图。
Using the improved annealing simulation algorithm, full, scale solution of optimal equation is obtained with flow chart for programming.
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.
在此基础上建立了可以考虑界面层和热应力影响的基体开裂临界应力求解方程。
The equation on critical stress of matrix cracking that could consider the effect of interface layer and thermal stress can be obtained.
本文研究了如何从加权残数法出发建立拉普拉斯方程数值流形方法的求解方程。
So we should implement the method of weighted residuals to derive the governing equations of the NMM.
本文研究了如何从加权残数法出发建立拉普拉斯方程数值流形方法的求解方程。
The numerical manifold method of Laplace equation was presented, it was also more general than the minimum potential energy principle to obtain the governing equations of the NMM.
为了进一步改善求解方程的数值稳定性，利用正交变换技术来求解状态估计问题。
In order to further improve the numerical stability of solution of equation, the orthogonal transformation technique based on PMU is used to solve the problem of state estimation.
由于在求解方程系统过程中，XL算法产生大量冗余方程，从而增加了计算复杂度。
XL produce lots excrescent equations in solving process, which increase the complexity of computation.
提出了对约束方程组进行分解的算法和在规则求解的基础上分两层求解方程组的方法。
It gives the algorithm to decompose the constraint equations and the way to solve the equations in two levels based on the rules solving.
现在，受人尊崇的物理学家和数学家斯蒂芬·霍金认为上帝不是求解方程序的组成部分。
Now eminent physicist and mathematician Stephen Hawking argues God was not part of the equation.
求解方程时，在时间域上采用差分法进行离散，给出了求解系统方程的直接法和增量法。
Differential method is used for the discretion of time zone, and a direct solution method and an incremental solution method are given out for the solution of the non-linear system equation.
方法在市场无套利条件下建立随机微分方程，运用鞅论、随机分析的方法分析并求解方程。
Methods Build up differential equation under the circumstance of the market no arbitrage. Analyze and work out the solution of equation.
因为其借助计算机快速求解方程的优点，使得对非线性方程组在一定精度内的求解成为可能。
The high capacity of fast solving equations of the computer make it possible to solve nonlinear equations within a certain precision.
通过实验结果的加速比对比，可以看出并行后缩短了求解方程组的时间，多核资源得到充分利用。
Through comparing the speedup radio of experimental results, it can be seen that parallel program shortens the time of solving equations and multi-core resources are fully utilized.
对于所求解方程的系数矩阵的高度稀疏性，给出了紧缩存储算法，节省了存储空间和减少了计算量。
Because the coefficient matrix of the equation to be solved is very sparse, the algorithm with the compact storage scheme is given and the computation cost is also reduced.
此功能允许用户在一条语句（一行）中定义和求解方程，从而使文档变得简洁并支持标准报告格式。
This capability allows users to define and evaluate equations in a single statement- one line- enabling compact documentation and support for standard report formats.
此功能允许用户在一条语句（一行）中定义和求解方程，从而使文档变得简洁并支持标准报告格式。
This capability allows users to define and evaluate equations in a single statement- one line- enabling compact documentation and support for standard report formats.
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