求解

Then, the turbulent SRNS equations and the two equation k-ε turbulence model are presented in Cartesian coordinate system, the equation of turbulence model is parabolized to adopt the space marching method.

为了数值模拟湍流流动，给出了直角坐标系下湍流SRNS方程及K-ε双方程湍流模型，并对K-ε方程进行了流向抛物化以适应空间推进求解的要求。

This method realizes the whole processes of autonomous path planning for free-floating space robot under Cartesian workspace, having good applicable foreground.

在已知空间机器人轨迹的条件下，采用空间机器人的逆动力学模型求解了各个关节的驱动力矩，并对真实轨迹和模拟轨迹进行了对比分析，保证误差在规定的控制范围。

The algorithm GS to solve the problem of inverse dynamics based on the optimal theory is proposed, by using the numerical methods of Gill and shooting target, the optimal joint driven torques are obtained With the smooth joint trajectory motion, a fast and stable inverse dynamics method is proposed, it provides a new effective way to control the flexible manipulator The trajectory planning in the joint space and Cartesian coordinates is especially discussed In terms of kinematics of space flexible link manipulators, a sequential integration method for inverse dynamic analysis of flexible manipulators is developed The concrete results of simulations tested and verified the validity of proposed methods, and some valuable conclusions are achieved.

提出了求解基于最优理论的柔性臂逆动力学问题的GS法(Gill—Shooting method)，得到了柔性臂关节的最优驱动力矩；提出了基于光滑关节运动轨迹的柔性臂逆动力学的快速稳定方法，为柔性臂控制提供了一条新的途径；探讨了关节空间和直角坐标空间柔性臂的轨迹规划问题；研究并完善了结合柔性臂运动学的顺序积分的逆动力学方法。通过具体实例的仿真研究，验证了所提出的柔性臂逆动力学方法的有效性，得出了一些很有价值的结论。

When calculating the pressure loss of laminar flow for Casson fluid in drilling tools, there is a need for a nonlinear equation. It used to be calculate by approximate formula.

在计算卡森流体在钻具中的层流压降时，需要求解一个非线性方程，以往通常使用近似公式进行计算。

The category of Yetter-Drinfeld modules is playing the extremely vital role in the physical quantum Yang-Baxter equation solution, and already became one of hot topics in the recent years studied.

Yetter-Drinfeld模范畴在量子Yang-Baxter方程的求解中起着非常重要的作用，已经成为近年来研究的热点问题之一。

Seeing that many researchers devoted themselves to the study of catenary method in recent years. Based on the standard curve of the catenary, the catenary algorithm of two-end-fixed cableway was studied in this paper, which established state coordinate equation and which used the numerical value method to analyze non-linear equations under the condition offeree equilibrium and condition of deformation compatibility.

为此，近年来不少学者致力于单跨架空索道悬链线理论的研究，本文在此基础上，从索道悬链线的标准线形出发，通过建立状态协调方程，来研究架空索道的悬链线精确算法，计算上采用满足力平衡和变形相容条件为基础的数值分析方法来求解非线性方程组。

A new non-linear quadratic programming Bayesian prestack three-terms inversion method is developed; Firstly, this method is based on Bayesian parameter estimation theory, Gaussian distribution is used for likelihood function and modified Cauchy distribution is used for prior distribution; Secondly, covariance matrix is used to describe the degree of correlation between the parameters; rock physics relations are used to constrain the inversion results; at last, this method is transformed into non-linear quadratic programming problem, and inversion results are acquired under several constraints.

本文提出了一种基于非线性二次规划的叠前三参数反演方法。首先基于贝叶斯参数估计理论，假设似然函数服从高斯分布，并使待反演的参数服从于改进的Cauchy分布，从而提高了反演结果的分辨率；其次用协方差矩阵来描述参数间的相关程度，进一步提高了反演结果的稳定性；最后将问题转化为一个非线性二次规划的求解问题，并在多种约束下得到问题的解。

The membership function can exactly express the fuzzy satisfaction set by considering the vagueness of satisfaction degree of objectives and introducing the membership function for the fuzzy satisfaction sets of system reliability and system cost. The normal distribution and Cauchy distribution of this membership function is modified according to the fuzzy satisfaction sets. By doing this, the multi-objective optimization problem can be converted to a single-objective optimization problem to be solved.

模型充分考虑到目标满意度的模糊性，通过引入系统可靠度与费用的模糊满意集的隶属函数，并根据它们的模糊满意集对其正态分布、柯西分布进行适当修改，使之能够准确表达通常情况下的这两个目标的模糊满意集，最终，把两目标优化问题转化为常规单目标优化问题求解。

The asymptotic behavior of the weak solution is obtained when an enthalpy function is made in L(superscript 2 subscript +) and a differential inequality is proved after using Cauchy inequality, Poincare inequality and the definition of weak solution.

在L(上标2 下标+)空间上构造了一个熵函数，利用带ε的Cauchy不等式和poincare不等式及弱解的定义，推导出了此函数满足的一个微分方程不等式，通过求解微分方程，证明了弱解的渐近性问题。

In terms of Cauchy s integral formula of analytical complex function and the three order spline function of complex variable, a general boundary solution method is presented for solving the complex potential field of the flow field around a 2D semi infinite body .

采用复解析函数的Cauchy积分公式和物面复势三阶样条函数逼近，提出了一种求解二维半无限体势流绕流问题复势的通用方法。

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。