查询词典 simultaneous equations

Order Hilbert ill-conditioned linear equations were solved, and the relative error was less than 0.45%. Numerical experiments verified that the method was efficient compared with the efficient methods used commonly nowadays. Numerical experiments results showed that the conjugate vector base method was suited for solving large-scale ill-conditioned linear equations with fast convergence and high precision.

通过对5000阶的Hilbert方程组进行求解，结果的相对误差小于0.45%，并与当前普遍使用有效的方法进行了比较，数值实验结果表明，该算法适合求解大型病态线性方程组，且具有快速收敛，精度较高的特性。

Starting from the conditions of law of conservation of energy and angular momentum,how to deal with simple disposal of several physical equations of the planetary motion by applying the elementary mathematical equations is proposed.

从角动量和能量守恒定律出发，建立行星椭圆运动的轨道方程，导出行星运动时的各个物理量表达式，从而给出了一种以初等数学为基础的处理行星运动的简洁方法。

The governing equations for the flow fields are conservation of mass and momentum equations.

但是，对诱导轮与首级叶轮之间的流动问题的深入探讨进行的不多。

That is the finite difference equations are not consistent with the differential equations of non- Newtonian fluids in porous media.

如何把流体的非牛顿行为用差分方法恰当地表示出来，是油藏数值模拟需要研究的课题之一。

Large disparities can be found in textbooks' treatments of different neoclassical growth models. Models without technical progress and with exogenous technical progress deliver themselves of dynamic equations of capital per labor and capital per efficient labor, respectively. Models with endogenous technical progress, however, make consistent use of dynamic equations of output-capital ratio.

各类新古典增长模型在现有教科书中的表述形式存在很大的差异：无技术进步和外生技术进步的模型分别使用"劳均资本"和"有效劳均资本"的动态方程，内生技术进步的模型则使用"产出资本比"的动态方程。

Time are tested under different kinds of stress for nitrided and un-nitrided specimens made from 35CrMo steel. The testing time ranges from 70 to 80 hours. The following equations are regressed from the tested curves: Un-nitrided specimens:〓 Nitrided specimens:〓 The above equations are consistent with the first stage theory for creep.

为此本文通过实验，测试了35CrMo钢渗氮和未渗氮两种试样在500℃时不同应力情况下的应变随时间的变化曲线，实验时间为70-80小时，将测得的曲线回归出以下方程：未渗氮样品：〓渗氮样品：〓以上方程符合蠕变的第一阶段陈化理论公式。

Based on the variable separation method, the governing equations for the film thickness problem have been solved. A reasonable consistent condition of the momentum equations has been found and solved. Based on the methods ofmathematical physics, series expansion solution of the velocity filed in the film has been derived. A boundary condition at the boundary of the spray area was given and the velocity slip phenomenon has been considered.

基于电子器件喷雾冷却技术的研究现状和研究热点，本文对喷雾在热源表面形成的冲击液膜流动及厚度模型、基于CHF(Critical Heat Flux，临界热流密度)准则的倾斜喷射喷嘴轨迹、喷嘴距热源换热最优时的高度、倾斜喷射实验以及针对动态喷射的电磁驱动器件的吸合问题等方面进行了研究：针对圆锥形轴对称喷雾冷却系统，在对喷雾区域进行划分的基础上，引入滑流边界条件，在提出圆锥状喷雾假设的基础上，建立了喷雾区域雾滴密度连续介质等效模型。

The key components in laser gyro is He-Ne ring laser, and the reciprocal action theory between light and medium is the base in studying the ring laser, use the Lamb half classical theory, and on the base of density matrix theory, the optical Brounch equation was established, which described the movement of amplifying medium atom in the ring syntonic cavity, and according to the medium polarize theory the self consistent equations was deduced, which describe the light intensity and phasic of the counter-propagating wave. On the basis of this equations, adopted the simulation software MATLAB and virtual instrument programming language LabWindows/CVI, we can do some simulated experiments in study the phenomenas such as amplify and dispersive characteristic of medium, mode pushing effection, burned hole effection and pattern competition, lock-in of frequency and the characteristic of light intensity and phasic of the counter-propagating wave in laser gyro.

激光陀螺的核心部件为He-Ne环形激光器，而掌握光与介质的相互作用理论是研究激光器的关键，采用拉姆半经典理论为主，在密度矩阵理论的基础上，推导环形谐振腔中描述He-Ne气体增益介质原子运动的光学布洛赫方程，运用介质极化理论得出描述激光陀螺反向行波的光强、位相所满足的自洽场方程组，在此基础上，运用MATLAB仿真软件和虚拟仪器编程语言LabWindows/CVI，对激光陀螺中的介质增益色散特性、频率牵引效应、烧孔效应及模竞争、闭锁效应及环激光的光强和相位特性进行仿真试验研究，并且运用全量子理论，对激光工作原理进行分析，得出二能级系统单模辐射场的光子数密度分布，得出激光场的光子统计分布，仿真激光场的动态建立过程。

From equations eliminated some unknown function and its derivative, are contained only one unknown function with constant coefficient of linear differential equations.

从方程组中消去一些未知函数及其各阶导数，得到只含有一个未知函数的高阶常系数线性微分方程 9。

B double precision real-one-dimensional arrays, length n, storage equations subguadratic constant vector; Return to the solution of the equations vector.

b 双精度实型一维数组，长度为n，存放方程组右端的常数向量；返回方程组的解向量。

Sodium citrate; calcium carbonate; calcium hydroxide; potassium bicorbonate; magnesium carbonate; ferrous sulphate; Zinc sulphate; copper sulphate; manganese sulphate; potassium iodide; sodium selenite.

柠檬酸钠；碳酸钙；氢氧化钙；碳酸氢钾；碳酸镁；硫酸亚铁；硫酸锌；硫酸铜；硫酸锰；碘化钾；亚硒酸钠。

All this to say that I'm glad filmmaking hasn't become completely ironic. I can enjoy an ironic film as much as the next person, but they usually involve a message of some sort. One that's delivered in a smirkingly clever way that requires little in the way of talent.

所有这些都是说，我很高兴电影制作没有变成完全讽刺艺术，我可以和下一个人一样享受讽刺电影的乐趣，虽然他们经常会被划归到一定级别，技术方面不需要很高的才能。