查询词典 simultaneous equations

The results show that the equations have benefit to the deduction of the pantograph's mechanical differential equations.

研究结果表明：利用升角与升弓高之间的关系，可简化受电弓运动微分方程的推导；应用所建立的力学模型、实测数据以及简化公式可更准确地分析和计算弓网系统的力学行为。

This article bases on the knowledge of ordinary differential equation, mathematical and physical equations and equation of reactive pervasion. It researches the blow-up critical exponents of heat conduction type which is parabolic equations with nonlinear boundary constraints.

本篇论文以常微分方程与数学物理方程，反应扩散方程的知识为理论基础，讨论了热传导问题的临界指数问题，该问题是一个带齐次边界条件的非线性抛物型问题。

The viscosity solutions for partial differential equations of parabolic type havethree different basic definitions.The three definitions are equivalent when the equa-tions are continuous.But for the discontinuous equations,the equivalence of themare still unknown.

因为抛物型方程粘性解有三种基本定义法，它们在方程为连续时相互等价，对于不连续情况，它们间关系尚不明确，因而在本章里，我们特别证明了其中二个定义：定义1，定义2之间的关系。

This paper stated the application of parallel link mechanism in modern machine tools,set up the error analysis as to parallel link mechanism in the virtucal-axis machine tool,derived the double triangular error equations of parallel link mechanicsm in its horizontal posture,analyzed the linearity and non-singularity of the error equations,thus giving the normal splution to the horizontal posture error.

该文对并联机构在现代机床上的应用作了论述，建立了虚拟轴机床并联机构的一种误差分析方法，应用坐标变换原理导出了双三角并联机构水平姿态时的误差方程组；分析了误差方程组的线性和非奇异性，给出了水平姿态时的位姿误差正解；对工作空间中心线的误差分布规律进行了仿真，绘制了其误差分布曲线。

Chapter 2, we investigate the existence of multiple positive solutions of the neutral partial difference equations on the base of the existed results of partial difference and difference equations, and obtain some sufficient conditions for the existence of multiple positive solutions.

第二章，基于已有的偏差分方程和差分方程的结果，我们研究了高阶非线性中立型偏差分方程多正解的存在性问题，建立了判断多正解存在的充分条件，对前人的结果进行推广。

The classical mode-locking equations shows to be coupling nonlinear second order partial difference equations.

4按照H.A.Haus等人所采取的方法，将量子锁模方程过渡为经典锁模方程。

According to hydromechanical equations proposed by Viridi et al., these equations are correspondly modified and may explain the relations between the period of oscillation and the ratio of granular density.

根据Viridi等提出的流体动力学模型，文中对该模型做出相应的修改，加入密度因子，从而可以解释颗粒振荡周期与颗粒密度比的关系。

After the dynamic response of radial displacement had been obtained in the S2 simply supported condition, the effects of winding angle and thickness on the radial displacement were discussed. By setting the displacement functions as complex Fourier series at the perturbed state, the perturbed motion equations were deduced to a set of Mathieu equations.

对扰动状态的非轴对称变形，位移函数采用复Fourier级数形式，得到了Mathieu形的扰动方程，由此给出了临界载荷和固有频率。

The new method gives out a set of equations based on the fundamental algebra rules that principal stress trace obeys and the essential attributes it possess, we then combine these equations with further information described in this paper leading to an exact description of the conic representing the principal stress traces.

该方法是根据主应力迹线满足过任意三条等倾线的主应力都可以用二次曲线来描述这一条件，再利用主应力迹线本身所具有的性质列出方程组解算出描述主应力迹线的一元二次方程，然后根据方程描绘出所求的主应力迹线。

Based on the concept of the non-proportional damping which may be divided into the proportional part for dissipation of energy and the nonproportional part for transformation of energy, a new modal superposition pseudo-force method is presented if the approximate decoupling method is not suitable. In this method the coupled modal equations are solved by iteration in which the coupling terms are treated as pseudo-force and set to the right side of the equations.

在不能进行近似解耦分析时，基于非比例阻尼可分为耗散能量的比例部分和转换能量的非比例部分这种概念，建立了一种拟力实模态叠加法，即把正则化的耦合模态方程中代表非比例阻尼部分的耦合项作为虚力，放到方程的右端，再运用迭代法求解。

When I started coding, I had problems with the ASF file writer.

当我开始编码，我曾与ASF文件作家的问题。

I know that in one of the schools the boys have risen up in the classroom and enlisted in a mass.

如果你们也和他们一样，是集体自愿的话，你们的老师将是多么地光荣啊。