查询词典 divergence theorem

Building of the operation rules of curl and divergence for vector field in R 3 space;2. Analysing by mathematics and the concepts of flux and curl , we can get the differential form of gauss s theorems in electrostatic field and ampere s cycle theorem in electrostatic field.

电动力学中的内容一般是从电磁学最基本的实验规律出发，由静电场中的库仑定律得到静电场的高斯定理和环路定理，利用通量与散度、环流与旋度的关系，得到静电场的高斯定理和坏路定理的微分形式。

Some sufficient criteria were obtained for oscillation of all solutions of such systems under first boundary value conditions by employing Gauss＇ divergence theorem, the integral inequalities and some results of the functional differential equations.

研究一类具非线性扩散系数的中立型双曲泛函偏微分方程组的振动性，利用Gauss散度定理、积分不等式和泛函微分方程的某些结果，获得了该类方程组在第一类边值条件下所有解振动的若干充分判据，结论充分表明振动是由时滞量引起的，同时也揭示该类方程组与普通双曲型偏微分方程组质的差异。

The existence of classical solutions to non-divergence quasilinear parabolic equation of second order has been proved by basic knowledge of non-linear functional analysis and implicit function theorem in banach spaces.

用非线性泛涵分析的基本知识和Banach空间上的隐函数定理证明了非散度型拟线性抛物型方程古典解的存在性。

Moreover,we also gave the proofs of generalization formula of integration by parts,the Green s formula of first type and the Green s formula of second type by using the divergence theorem .

首先指出数学分析中反映二重积分和第二类平面线积分联系的Green公式可以看成是散度定理的一种特殊情形，然后利用散度定理给出广义分部积分公式、第一Green公式和第二Green公式的证明

This paper puts forward the triangle element method for calculating gravity anomaly of three-dimensional sphere-coronal model by using the divergence theorem. In this study, the volume integration was changed into surface integral, a series of triangles were used to fit the surface, and then the Green's formula was adopted to change surface integral into line integral. At the same time, a reasonable calculation program was given.

提出利用高斯公式将体积分变成包围该积分域的全表面积，应用一系列三角形拟合计算表面，然后通过格林公式把对每个三角形的面积分变成对三角形每边的线积分之和的三角元法来计算三度体球冠模型重力异常，同时给出了合理的计算方案。

One is for Green's function in elements by using linear integrals; the other is for its normal derivative by the divergence theorem.

作法是仅需对原有的奇异性核函数加入一项使其异性消除，同时再将函数的解析积分值减去原方程式。

Through studying the singular points of the plane differential systems, the sufficient conditions of the nonexistence of limit cycle for the system are obtained by means of comparing theorem, analyzing divergence and change of variable.

通过对微分系统的奇点进行研究，借助比较定理，将该方程与其对称的方程进行比较，并通过分析散度和变量代换的定性分析，得到了其极限环不存在的充分条件。

Firstly,based on the generalized function,φ-mapping topological currentare rigorously proved to be of delta-function formδand can be labelledby the nodal indices of the vector field,namely by Hopf indices and Brouwerdegrees of this vector field,which reveals the inner relationships between ourtheory and the topology of vector bundle.A singular divergence theorem isalso presented.

论文首先以广函数为基础严格证明了，φ-映射拓扑流具有δ函数形式，并且可以向量场的零点指标表征，即以其Hopf数和Brouwer度拓扑量子化，从而揭示了它与向量丛的拓扑学之间的内在联系。

Then used the divergence theorem to turn the area integrals into volume integrals.

然后利用散度定理将面积积分转换成体积积分。

Meanwhile, important random acute angle principle、theorem of random full mapping and theorem of random one-one mapping are proved.

同时我们证明了重要的随机锐角原理、随机满射定理和随机一一映射定理。

His female bullfighter Lydia gradually Health love, but she was in a vegetative state after the Bulls Zhuangcheng away from her, just because Lydia's ex-boyfriend showed more affectionate than he is like love.

他对女斗牛士莉迪亚渐生爱意，却在她被公牛撞成植物人后离她而去，仅仅因为莉迪亚的前男友表现出好似比他更深情的爱。

I know of none which are not easy to answer, but what I am trying to do now is only by a series of hints to throw some light on the narrow path of legal doctrine, and upon two pitfalls which, as it seems to me, lie perilously near to it.

我不认为有什么难以回答的问题，但我现在要做的仅仅是通过一系列线索，来给法律理论的狭窄路径以及在我看来离它近得危险的两个陷阱提供一些启示。