The above conclusion is demonstrated in the light of poincare theorem, it is demonstrated by using contraction (interior product) of vector field and differential form as well as operation of exterior differentiation.
运用向量场与微分形式的缩并 (内积 )和外微分运算 ,并依照 Poincare定理论证电荷的运动规律可确定电磁场的运动规
By estimating the koppelman kernel on Complex Manifolds, the difference between the koppelman kernel on complex manifolds and the Bochner Martinelli koppelman on C n was obtained;and then by utilizing the koppelman formula and the result as above, the jump formula of differential forms under Berndtsson transform on Complex manifolds was derived.
引入复流形上的Ｋｏｐｐｅｌｍ ａｎ 核与微分形式的Ｂｅｒｎｄｔｓｓｏｎ 变换， 并对复流上的Ｋｏｐｐｅｌｍ ａｎ 核进行估算，得出其与Ｃｎ 空间的Ｂｏｃｈｎｅｒ－Ｍａｒｔｉｎｅｌｌｉ－Ｋｏｐｐｅｌｍ ａｎ 核之差为Ｏ（－ ２ｎ ＋１ｎ ）。
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
The Hypo-elliptic Differential Forms on Smooth Manifolds;
光滑流形上微分形式的亚椭圆性
Let X be a smooth oriented Riemannian n-manifold without boundary,l-form W be WT2 class of differential forms on X.
令X是一个光滑可定向的n维无边黎曼流形,l-形式W是X上的WT2类微分形式,如果它的结构常数v1、v2满足一定的条件,则对于dφ=ω的l-1-1形式φ的模满足Holder连续性。
alternating differential of differential form
微分形式的交错微分
Solution of Negative One Twice Power of the High-grade Gentle Lack One Type Linear Differential Equation;
负一次幂交错级数型的高阶和式差一型线性微分方程
The Application of the Invariance of First Order Differential Forms in the Differential Calculus for Function of One Variable;
一阶微分的形式不变性在一元微分学中的应用
The Application of the Invariance of Total Differential Forms in the Differential Calculus for Function of Several Variables;
一阶全微分形式不变性在多元微分学中的应用
The Alternating Group Explicit Iterative Method for the Partial Differential Equation;
偏微分方程的交替分组显式迭代方法
On Poincaré Inequality for Differential Forms
关于微分形式的Poincaré不等式
The Inequality Forms of the Mean Value Theorem of Differential and Its Application
微分中值定理的不等式形式及其应用
Very general systems of differential equations can be reduced to the normal form.
形式很普通的微分方程组可以化为正规的形式。
WT_2-class Differential Forms Holder Continuous
WT_2类微分形式的Holder连续性
Local and Globle Two-Weight Integral Inequalities for Differential Forms;
微分形式的局部和全局双权积分不等式
The Expansions of Conservation Laws and Symmetries for a PDE(s) and Applications of Differential Form Wu s Method;
偏微分方程（组）对称和守恒律的扩充及微分形式吴方法的应用
A DISCUSSION ON POTENTIAL SYMMETRIES AND INVARIANT SOLUTIONS OF SOME PARTIAL DIFFERENTIAL EQUATIONS BY USING WU'S METHOD IN DIFFERENTIAL FORMS
用微分形式的吴方法求解一些偏微分方程的势对称和不变解
Of, relating to, or formed of separate particles.
微粒的分开的微粒的，与分开的微粒有关的，由分开的微粒形成的
Ray equation is derived from Fermat's principle in variation form.
本文由费马原理的变分形式,导出光线微分方程。
partial differential operator on manifold
流形上的偏微分算子
The exponent of the derivative of highest order in a differential equation in standard form.
次标准形式下的微分方程里最高次序的微商的幂
The solution of the interlace series type linear even differential equation of contain negative twice power function and arrangement number;
负二次幂交错级数型线性齐次微分方程
The Solution of the Interlace Series Type Linear Even Differential Equation of Contain Negative One Number of Times Power Function;
负线性幂函数交错级数型线性齐次微分方程