求解过程

The relationship between stochastic Petri Nets and basic stochastic process is analyzed.

分析了随机Petri网和基本随机过程的关系，讨论了各类随机Petri网的求解方法。

Further, strain energy function is separated into volumetric and deviatoric parts, and the relationship between the Green-Lagrange strain tensor and second Piola-Kirchhoff stress tensor is given.

在建立求解方程的过程中，Heaviside加权函数的引入完全或部分除去了刚度矩阵中的局部域积分项，大大简化了本文方法的计算工作量。

The Newton-Raphson iteration technique is employed to solve the displacement nonlinear equations of the structure.

在迭代过程中，为了提高计算效率可采用简单迭代法由节点位移求解单元应力场。

The signal degradation is usually modeled by a linear system. To restore the original signals from the distorted and noisy signals, we need to solve the linear system of equations.

信号退化的过程一般可用线性系统模型来表示，要从退化的信号中恢复出原始信号，必须对其线性系统的方程组进行求解。

In this paper, beginning with the basic equations of hydrodynamics, turbine and governing system, the author deduced the basic equations of transient process caused by small fluctuation in the inclined ceiling tailrace, then analyzed and calculated the basic equations.

从水力学、水轮机、调速器的基本方程出发，推导了变顶高尾水系统小波动过渡过程的基本方程，并对其进行分析与求解。

This article analyses the application conditions of freezing method, current research status and the problems in this field. It points that it's necessary to study deep freezing temperature field deeply and discusses the factors which influence the freezing wall such as soil's nature, moisture content, geological conditions, etc. It introduces the theory, process of freezing method, the distribution of temperature field of freezing method and key thermotics parameters influencing freezing temperature field. It simplifies the deep freezing temperature field model. Through ANSYS, this article founds the deep freezing temperature field model, and simulates the field on vary heat conductivities. It analyzes the results of ANSYS simulation, gains the theoretical value of thermometric holes which is needed by back-analysis. Using the simulation temperature and actual value, it gets the equivalent heat conductivity. Then it solves the deep freezing temperature field by the equivalent value, simulates the freezing wall development process and temperature change curve. Against the actual project, the results are favorable.

文中分析了冻结法施工的应用条件，目前对冻结法施工的研究现状和在此领域内存在的问题，指出了对深土冻结温度场进行深入研究分析的必要性；对影响冻结壁形成发展的因素如冻土土性、含水量、地质条件及施工方法等因素进行了论述；对冻结法施工的原理、过程，冻结法温度场的分布情况，影响冻结温度场分布的主要热学参数进行了综述；对深土冻土温度场模型进行了合理的简化，通过ANSYS大型有限元分析软件，建立了深土冻结温度场的模型，对不同导热系数情况下的深土冻结温度场进行了模拟；对ANSYS的模拟结果进行了定性的分析，通过对ANSYS结果的后处理取得了反分析时需要用到的测温孔理论温度值；经过对测温孔模拟温度值和实测温度值的分析，得到了冻结温度场的等效导热系数；使用等效导热系数对深土冻结温度场进行了求解，模拟了冻结壁发展情况和温度场中的温度变化曲线，用所得结果对比工程实际情况，取得了较好的效果。

This article analyses the application conditions of freezing method, current research status and the problems in thisiold. It, points that it" s necessary to study deep freezing temperature field deeply and discusses the factors which influence the freezing wall such as soil" s nature, moisture content, geological conditions, etc. It introduces the theory, process of freezing method, the distribution of temperature field of freezing method and key thermotics parameters influencing freezing temperature field, it simplifies the deep freezing temperature field model. Through ANSYS, this article founds the deep freezing temperature field model, and simulates the field on vary heat conductivities. It analyzes the results of ANSYS simulation, gains the theoretical value of thermometric holes which is needed by back analysis. Using the simulation temperature and actual value, it gets the equivalent heat conductivity. Then it solves the deep freezing temperature field by the equivalent value, simulates the freezing wall development process and temperature change curve. Against the actual project, the results are favorable.

文中分析了冻结法施工的应用条件，目前对冻结法施工的研究现状和在此领域内存在的问题，指出了对深土冻结温度场进行深入研究分析的必要性；对影响冻结壁形成发展的因素如冻土土性、含水量、地质条件及施工方法等因素进行了论述；对冻结法施工的原理、过程，冻结法温度场的分布情况，影响冻结温度场分布的主要热学参数进行了综述；对深土冻土温度场模型进行了合理的简化，通过ANSYS大型有限元分析软件，建立了深土冻结温度场的模型，对不同导热系数情况下的深土冻结温度场进行了模拟；对ANSYS的模拟结果进行了定性的分析，通过对ANSYS结果的后处理取得了反分析时需要用到的测温孔理论温度值；经过对测温孔模拟温度值和实测温度值的分析，得到了冻结温度场的等效导热系数；使用等效导热系数对深土冻结温度场进行了求解，模拟了冻结壁发展情况和温度场中的温度变化曲线，用所得结果对比工程实际情况，取得了较好的效果。

In every time-marching step, we must regenerate the mesh. In order to improve the efficiency of the mesh generation, we employ the transfinite interpolation method.

由于在流场求解的过程当中，随着翼型的扑动，每一步都需要生成新的网格，为了提高网格生成速度，我们采用效率较高的代数插值方法。

In this algorithm which is quite different from the traditional one, we proved theoretically that it is not necessary to use all the elements of matrix when calculating transitive closure of fuzzy relations.

利用该算法研究了激光切割方面的专家在激光切割质量评价过程中，对影响切割质量各因素权重分配的经验性知识的获取方法，提出了多次分级求解的策略及通过权重异步周期性变化进行权重自动筛选的方法。这些方法和策略在获取同类型的专家经验知识中具有较明确的指导意义。

During the process of solving power flow, the incremental transmission loss of each node can be easily obtained by means of simply solving the transposed matrix of original n-order matrix.

介绍了一种基于直流潮流的网损微增率新算法直流雅可比矩阵法，该方法以直流潮流为基础，引入虚拟网损负荷变量并构造出带有松弛负荷变量的有功不平衡方程雅的可比矩阵，在解潮流过程中只需求解n阶矩阵的转置矩阵，即可获得各个节点的网损微增率。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。