1) fractional differential form
分数微分形式
1.
A brief survey of fractional calculus and fractional differential forms was firstly given.
首先介绍了分数微积分和分数微分形式· 讨论了在原点处对曲线坐标的分数外微分变换,并且获得了从三维卡氏坐标到球面坐标和柱面坐标的两个分数微分变换· 特别地,当v=m=1时,这两个分数微分变换约化的结果与通过外微积分获得的结果是一致的·
2) degree of a differential form
微分形式的次数
3) differential form
微分形式
1.
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
2.
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 )。
3.
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
4) differential forms
微分形式
1.
The Hypo-elliptic Differential Forms on Smooth Manifolds;
光滑流形上微分形式的亚椭圆性
2.
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。
5) form fraction
形式分数
1.
The problem of linear congruent equation class was studied by"form fraction"to get the congruence root of linear congruent equation class,and some interesting results was obtained,It was an extension of Chinese remainder theorem.
研究了更一般的互素模一次同余式组的求解问题 ,利用形式分数的性质在不求出每一个同余式解的情况下给出了互素模一次同余式组a1x≡b1(modm1) ,a2 x≡b2 (modm2 ) ,… ,akx≡bk(modmk) (ai,mi) |bi 解的表达式 ,得到了几个有益的结果 ,在理论上作了一种新的尝试 ,给出了统一的表达式 ,从而推广了孙子定
6) ordinary differential form
常微分形式
补充资料:分数阶积分与微分
分数阶积分与微分
og fractional integration and differentia-
分数阶积分的逆运算称为分数阶微分:若几介F,则f为F的:阶分数阶导数(na ctional deriVative).若0<戊
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参考词条