查询词典 algebraic equation

An analytical coupled water-energy balance equation at arbitrary time acale was derived by dimension analysis and mathematical derivation. The equation has only one parameter.

本文通过量纲分析和数学推导得到能用于任意时间尺度上的水热耦合平衡方程，该方程含有唯一参数。

From energy balance equation, using micro-piece analytical method, heat balance equation for high power fast axial flow CO〓 laser tube is established with the boundary conditions of actual fast axial CO〓 laser, the analyzed solution of the temperature distribution in the laser tube is obtained.

并应用热传导的物理边界条件，求出了热能平衡方程的解析解，得到了实际器件放电管横截面内的气体温度分布公式及温度分布曲线，并求得了激光功率变化对热致负透镜焦距的影响关系式。

It is generally difficult to get analytical solutions of the stochastic differential equation's water quality model. What is more, as to the issue like the initial boundary result of a convection-dispersion equation, it is even more difficult to change the random factors into the uncertainty.

NSFEM法是把Neumann展开式引入以解决矩阵求逆的效率问题，如果对每一次随机抽样，只需形成刚度矩阵，进行前代、回代以及矩阵乘和矩阵加减，而无需矩阵分解，则可大大减少工作量。

Key words: partial differential equation; Lewy equation; real analytical; infinitely differential solution; compactly supported set

引用格 式：吴小庆。Lewy方程的无穷可微解。中国科技论文在线精品论文，2010，3(1)：19～27。

For the radiation transfer equation, both the spatial domain and the angular domain is discretized, and the finite volume method is used to solve the equation in an explicit way.

把一种新的三维热辐射计算方法应用到高超声速非平衡流场的数值模拟过程中：在非结构网格上对高超声速化学非平衡流场的数值模拟过程中，耦合了辐射输运方程来求解辐射热流。

Solving antiplane response of triangular hill or structure to incident SH waves by using the idea of assistant functions and division, the standing-wave equation constructed in domain Ⅰ must satisfy the governing equation and the zero-stress condition on the wedges.

利用分区和辅助函数思想求解三角形凸起对SH波散射问题时，在区域Ⅰ中构造的驻波，它应该同时满足三角形斜边上应力自由和控制方程，只有这样，所得到的结果才能是正确的。

To resolve thismodel,one approximate liner first derivative equation is used.An simple caculatemodel is setted up for caculating the motive adjust,and a mathematical equation incaculating the range of pressure motion in the system.Experiment data showe thatthese models have high accurecy.

在此基础上，对分析模型采用一阶微分近似线性化处理，建立了计算动态调节过程的简化计算模型，并以此建立了计算系统压力动态变幅的计算式，试验表明简化模型具有较高的精度。

And the numerical solutions of difference equation are regarded as the approximate solutions for the differential equation.

文中首先对对称正则长波方程提出了一个两层和两个三层的有限差分格式。

The main idea of the finite difference method is as follows: We consider the discrete difference equation with the finite alphas as approximate substitution for the differential equation with the continuous variant and boundary conditions.

有限差分方法的基本思想是用离散的，只含有有限个未知数的差分方程去近似代替连续变量的微分方程及边界条件，并把相应的差分方程解作为微分方程的近似解。

Because of appearing empty aggregates in the time zone (the time zone do not include the information), we only establish the indeterminate grey differential equation according to the approximate condition of the differential equation.

利用灰色微分方程中的最小二乘估计参数：进而得到灰色神经网络初始的权值及阈值，这样使初始的权值和阈值更接近准确值，克服了以往BP网络中初始权值的随机性和不确定性，减少了网络的训练次数，提高了网络收敛速度和输出的精度，为避免网络训练陷入局部极小值也起到了重要的作用。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48