查询词典 simultaneous differential equations

We shall first apply the technique ofμ-bases and local cohomology to study the minimal generators for the moving surface ideals of rational cubic space curves and rational quartic space curves,and then study the implicit equations of rational space curves under different definitions of implicit equations.

在第五章中，我们将同调代数理论与μ基理论相结合，详细分析三次及四次空间有理曲线的动曲面理想生成元，为一般空间有理曲线的动曲面理想生成元的(来源：A21B12ceC论文网www.abclunwen.com)研究开辟可能的道路。

Collinearity equations through collinearity restriction to model of pinhole camera are got, and given the whole process of the optimization method based to the transform of collinearity equations.

视频测量技术用于确定三维空间物体坐标和与之相对应的二维图像坐标之间的关系[1]，对成像系统的精确定标，确定空间对应的几何关系是先决条件[2]。

They include the fundamental concepts of jet bundle geometry needed in describing time-dependent mechanical systems, decomposition of jet bundles into a direct sum according to the constraints, horizontal distributions on constraint mainifolds, the global formulation of D'Alembert-Lagrange's equations and Chaplygin's equations, and nonholonomic mechanics on a Riemann-Cartan manifold. Meanwhile, the geometric significance of Chetaev's conditions and $\rd$-$\delta$ commutation relation are discussed in depth.

本文主要综述非完整约束系统几何动力学的外附型和内禀型Lagrange理论，包括非定常力学系统所需要的射丛几何学的基本概念、射丛按约束的直和分解、约束流形上的水平分布、 D'Alembert-Lagrange方程与Chaplygin方程的整体描述、以及Riemann-Cartan流形上的非完整力学，文中对Chetaev条件和d-δ交换关系的几何意义作了深入讨论。

The different methods for establishing the equations of vehicle-bridge system are summarized and assessed. The vehicle-bridge coupling relationship, including the geometrical compatibility condition and the static equilibrium condition at the interface of wheel/rail, is established. The forces on the vehicles, which coming from bridge deflection and track irregularity, and those on the bridge, which coming from vehicle deflection, are given. Then, the governing equations of vehicle-bridge system are setup.

提出了车桥系统运动方程求解的分离迭代技术和相应的数值解法：对建立车桥系统方程的各种不同方法进行归纳与总结；详细建立了车桥耦合关系，即轮轨接触点处的几何相容条件和静力平衡条件；给出了由于桥梁位移和轨道不平顺而引起的作用在车辆上的轮轨力，以及由于车辆位移引起的作用在桥梁上的轮轨力。

The weighted least square iteration computational equations and error estimate equations are given.

给出了加权最小二乘法的迭代计算公式和误差估计公式。

The Engine partitions all the equations into sets according to the conditional statement in the models, whose value will be used to assemble the equations dynamically to describe the state of the system.

引擎根据模型中的条件语句，将方程分为若干集合，依靠条件语句的真值来动态组合方程集合，描述不同情况下系统的状态。

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。

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。

So it was last week in Selma , alabama.

上星期在亚拉巴马州塞尔马市发生的事件也是这样一个转折点。

The group also spearheads various social programs in China.

该组织还带头参与中国的各种社会活动。