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By the natural and harmonious relationship between differential forms and differential equations and between differential forms and vector analysis, we discuss the properties, which are covariant under the transformation of coordinates in the framework of differential forms, of particle motion in a central force field .

通过微分形式与微分方程和向量分析之间存在的自然而协调的关系,在微分形式框架下讨论了质点在有心力场中运动的特性并得出在坐标变换下其均是协变的

This curriculum primary coverage includes: Function and limit, a circular function derivative and differential, theorem of mean and derivative application, indefinite integral, definite integral, definite integral application, space analytic geometry and vector algebra, function of many variables differential method and application, multiple integral, curvilinear integral and surface integral, infinite series, differential equation.

该课程的主要内容有:函数与极限,一元函数的导数与微分,中值定理与导数的应用,不定积分,定积分,定积分的应用,空间解析几何和向量代数,多元函数微分法及其应用,重积分,曲线积分与曲面积分,无穷级数,微分方程。

The solution can't already behalf the real movement of the constraint multibody system so the default of the constraint equation must be restrained; On the other hand is how to turn the differential — algebra hybrid equations into the pure differential equations effectively.

得到的解已经不能表示约束多体系统的真实运动,所以必须对约束方程的违约进行抑制;另一方面是怎样有效地将微分—代数混合方程组化为纯微分方程组,运用求解微分方程组的计算方法求解。

The main contents of this course include: the elementary solution of first order differential equations, the theory of existence, uniqueness and continuity dependency of initial value problem of first order differential equations, the structure theory of higher order linear differential equation and the solution of constant coefficient equations, the structure theory of system of linear equations, basic solution matrix and the solution of system of constant coefficient equations.

本课程内容有:一阶微分方程初等解法,一阶微分方程初值问题的存在性、唯一性、连续依赖性理论,高阶线性微分方程解的结构理论和常系数方程解法,线性方程组的结构理论、基解矩阵和常系数方程组的解法。

The results are generalized to first-order neutral functional differential equation.

第四章讨论了一阶泛函微分方程解的零点分布,改进了一阶滞后型泛函微分方程在解的零点间距离的上界估计的结果,并将此结果推广到一阶中立型泛函微分方程。

It is useful for the direct and inverse solution of geodesic problem and applying in digital elevation model and 3D GIS model. geodesic coordinate system ; direction angle ; geodesic line ; differential relationship

本文则进一步探讨测地坐标的一些微分性质和微分关系式。1 基于测地坐标的大地线的二阶微分方程按照曲面的内蕴几何学,由

Based on the partial differtial equation,the solution of an integro-differential equation in an infinite interval is expressed in terms of the solution of this kind of equation in a finite interval.

研究了跳扩散框架下采用障碍红利分配策略模型中的自由边界问题,利用偏微分方程理论将有界区间上积分-微分方程的解用无界区间上积分-微分方程的解表示,在此基础上得到了期望累积贴现红利函数及自由边界所满足的方程

Linear differential equations of the principle of superposition theory of linear differential equations play an important role, especially in solving linear differential equations of the nature and structure of play to solve the problem of reducing the complexity and difficulty of the role.

请帮忙翻译一下摘要,跪谢线性微分方程解的叠加原理在线性微分方程理论中占有重要地位,尤其是在解决线性微分方程解的性质和结构问题中起到了降低解决问题的复杂度以及难度的作用。

An example of these maximal monotone operators is the subdifferential of a closed convex function.

这种多值极大单调算子的一个特殊例子是闭凸函数的下微分算子,所以本文考虑的多值随机微分方程包含了在凸区域内具有反射边界的随机微分方程。

Char-set has triangular form structure,which is used to overcome some difficulties in differential fields problems.

本文中,我们研究微分情形吴方法,重点研究的是微分多项式系统的微分特征列集的算法及其应用。

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Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

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