By using the matrix geometric solution method, we derive the explicit expressions for steady-state probability vector.
利用矩阵几何解的方法，导出了系统稳态概率向量的明显表达式。
A new method for predicting the surface tension of ternary from biliary ones by using geometric solution model is given.
介绍应用几何溶液模型法预测三元系表面张力的新方法。
In the process of resolution, we use Matrix - Geometric solution, and derive the queue length distribution and some performance measures.
在模型求解过程中，本文采用拟生灭过程和矩阵几何解方法得到了各模型的稳态队长分布以及其相关指标。
By using the Quasi-Birth-Death process and the matrix geometric solution, we obtain the equilibrium conditions of the system and the steady-state probability distribution.
利用拟生灭过程与矩阵几何解的方法求出了系统的稳态平衡条件和稳态概率分布。
Using the quasi-birth-and-death process method, we derive the equilibrium condition of the system and the matrix-geometric solution of the steady-state probability vectors.
通过拟生灭过程的方法求出了系统稳态平衡条件和稳态概率向量的矩阵几何解，并给出了系统的一些性能指标和数值结果。
In the paper, it provides the geometrical solution to extreme value of many variables function by geometric properties of objective function or constraint condition.
本文中，利用目标函数或约束条件的几何性质，提供了某些多元函数极值或最值问题的几何解法。
All these measure along with propagation analysis of constraints established the theory and quick solution of geometric constraint engine.
通过约束传播分析，为几何约束求解引擎的实现提供了理论依据和快速算法。
This paper generalized and proved a famous geometry theorem, and obtained general solution of Fermat Problem by pure geometric method thereby.
本文对一道著名几何定理进行了推广与证明，从而用纯几何方法解决了一般的费尔玛问题。
Cable dome is a large deformation composite structure consisted of flexible cables. Its analysis is a geometric nonlinear problem and is difficult in its solution.
索穹顶结构是大变形柔性组合结构，其受力分析属于几何非线性问题，求解较复杂。
By making use of the invariant theory, the exact solution for a time-dependent system of double-well Bose-Einstein Condensate and corresponding geometric phase are obtained.
利用构造不变量理论，研究了一种含时双阱玻色-爱因斯坦凝聚系统的精确解，得到了相应的几何相因子。
In applying the method of mechanization to verifying geometric problems, to choose a proper coordinate system is an important step that concerns the complexity of the solution to the problem.
用机械化方法证明几何定理，适当选取坐标系是一个关系到问题解决得难易程度的重要步骤。
Due to geometric nonlinearity, the precise solution to stayed cables remains unsolved.
斜拉索由于其几何非线性，其精确解尚未解决。
The conception of triangular vector loop is proposed in view of solution with geometric vector.
从几何矢量的解法入手，提出了三角矢量回路的概念。
Then, using the inequality of information theory, the paper directly proved that the minimum cross-entropy solution is exactly the dual geometric programming solution.
同时利用信息论中的不等式，直接地证明最小交互熵解就是对偶几何规划解；
Because of complexity of geometric shape and loading state for general component, it is difficult to gain theoretical solution to the state of stress-strain for cracking tip.
由于一般构件的几何形状和荷载状态复杂，难于对裂纹尖端的应力应变状态得到理论解。
When transferring a geometric constraint equation group into an optimization model, we need a method to jump out of the local beat solution so that we can find a best global solution.
在将几何约束问题的约束方程组转化为优化模型的时候，需要找到一种方法来跳出局部最优解，进而找到全局最优解。
The geometric structure of nonlinear least squares solution for signals by complex exponents is offered in this paper.
本文给出了复指数信号模型非线性最小二乘解的几何结构。
In this paper, the geometric nonlinearity problem is analyzed based on the second beam theory, and a theoretical solution is proposed, whose accuracy is verified by FEM numerical simulation.
本文基于二次梁理论给出了该几何非线性问题的理论解，其正确性通过有限元的数值计算结果得到验证。
This paper reports a method of finding the solution on the basis of geometric constraint.
推出了一套几何约束求解的方法。
In this paper, minimum weight design of a hatch cover of box cross section is made by geometric programming. The analytic optimal solution is obtained.
本文采用几何规划方法对船舶的箱形剖面舱口盖进行最小重量设计，求得了解析的最优解。
These formulae can be used as an analytic solution for quickly estimating the geometric aberrations of a known deflection system and checking the related computer program.
这些公式不但可用来快速估算偏转象差，还可用来作为校验数字计算程序的理论模型。
Finally, four main factors, laser power, scan speed, beam quality and geometric shape of spot are discussed which can can affect the result of laser solid solution.
最后讨论并分析了影响固溶强化效果的四个主要因素，激光功率、扫描速度、光束质量以及光斑几何形状。
Geometric composition analysis is focal point in structural mechanics and often used in finding the solution of statically indeterminate structure.
几何组成分析在结构力学中是重点，常应用于求解超静定结构，文章用几何组成对力法、位移法和力矩分配法进行了分析。
Geometric composition analysis is focal point in structural mechanics and often used in finding the solution of statically indeterminate structure.
几何组成分析在结构力学中是重点，常应用于求解超静定结构，文章用几何组成对力法、位移法和力矩分配法进行了分析。
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