计算法则

The influences of forcecontolled finite element method and displacementcontrolled finite element method on soil free displacement field are compared.

计算结果表明，受力控制有限元法更符合施工过程；而位移控制有限元法则与实测值更接近。

Automatic differentiation and implicit function differentiation rule were used to calculate the precise absolute and relative sensitivity coefficients, with no truncation error introduced.

提出一种基于自动微分和隐函数求导法则的精馏塔优化计算灵敏度分析方法，可以求出精确的、无截断误差的灵敏度系数，以反映精馏塔模型中各种不确定因素变化所引起的改变和影响。

It is on this law of large numbers that sharing consumption is based.

共享消费就是依据这个大数法则，用预定消费率计算出集体或全民通过劳动创造相应消费品的产量，以达到产消基本平衡的原则。

The effect of the elastic-plastic matrix of friction soil with nonrelevant flow rule on the numerical convergence of finite element method is analyzed in this paper; and the effect of elastic modular, poisson ratio and earth pressure coefficient on numerical results are studied in this paper. At the same time, the hybrid element with a mixture of displacement and stress variables and the conventional element with solely displacement variable are compared when used in geomaterials.

在ABAQUS有限元分析软件的基础上，本文研究了服从非关联流动法则摩擦性土体的弹塑性矩阵对有限元数值算法的影响，并研究了弹性模量、泊松比以及地基土压、力系数对数值计算结果的影响，同时探讨了数值分析过程中常规位移元与杂交元在岩土工程中的应用。

Operator precedence follows the rules of algebra and may be altered by the use of parentheses.

操作符先要按照代数法则并且它可通过用来更改计算优先级。

In this paper,pose representation by quaternions are researched.With the basic quaternion algebra,the "quaternion based rotations combination theorem" is introduced and proved theoretically.On the basis of this theorem,a method for compute of pose nonliear state transfer function and its linearization is purposed.Then,the computing of the measurement function and the linearization is studied.With the Extended Kalman Filter,the pose is tracked and estimated.

研究用四元数表示物体的姿态，在四元数基本运算法则基础上提出并证明了"基于四元数的多个旋转运动合成规则"，然后将此规则为依据，推导出一种用来计算姿态非线性状态方程系数的方法，对非线性状态转移函数进行线性化，并且研究了测量方程函数的确定及线性化，借助扩展Kalman滤波实现了对姿态的跟踪。

This article offers a recursion formula of the total sum through the study of the total sum of the Cnm terms.

通过对这C_n~m项总和的研究，得到了一个总和的递推计算公式，给出了它的简便运算法则，并在研究过程中，意外地发现了两个非常有趣的推论。

Both motor car and each trailer of HST were modeled as a multi-rigid-body system with two suspensions, and LVT was modeled as an assembly of track segment elements with 24 degrees of freedom. The vertical vibration matrix equation of the system was established on the basis of the principle of the total potential energy with stationary value in elastic system dynamics and the rule of "set-in-right-position" for formulating system matrixes, and then Wilson-θ numerical integration method was used to solve the problem. The dynamic responses of the system were calculated when the train runs at the speed of 200 km/h. And the effects of vertical stiffness of rail fastener and block pad on vertical vibration responses of the system were investigated.

其原理是：将高速列车的动车和拖车模拟为具有二系悬挂的多刚体系统；将弹性支承块式无碴轨道模拟为具有24个自由度的轨段单元的集合；基于弹性系统动力学总势能不变值原理及形成系统矩阵的"对号入座"法则，建立此系统竖向振动矩阵方程，并采用Wilson-θ数值积分法求解，计算速度为200 km/h时此系统竖向动力响应，研究轨道刚度对此系统竖向振动响应的影响规律。

The scaling rule for hydrogenic impurity binding energy and the Virial theorem value in quantum wells and wires of rectangular cross section with three different section ratios are studied through the variational method.

利用变分法计算了矩形量子线和量子阱中类氢杂质束缚能的度规法则和维里定理值。

Basing on compound principle to simulate the drawing deformation strengthening behavior of hypoeutectoid steel , the simulation calculation in which the strain distribution is thought can estimate strengthening trend of materials well, which conforms to test results basically and can provide strength design basis for wire ropes production of hypoeutectoid steel .

用试验的方法得到45钢的拉拔强化曲线，基于混合物法则模拟亚共析钢的拉拔形变强化行为，考虑应变分配问题的模拟计算能较好预测材料的强化趋势，与试验结果基本相符，可为亚共析钢钢丝绳生产提供强度设计依据。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新