3) oriented vector field 向导矢量场 1. In order to give attention to both the smoothness of the boundary area near the seam and the coincidence of globe intensity in a resultant mosaic image simultaneously,an image mosaic method based on oriented vector field is proposed in this paper. ...
calculate the Lie derivative of a vector field, differential form, tensor, or connection with respect to a vector field Calling Sequence Parameters Description Examples Calling Sequence LieDerivative(X, T) Parameters X - a vector field on a manifold M or a vector in a Lie algebra A ...
IfTis a Maple expression, thenLieDerivative(X, T)is the directional derivativeX(T)ofTin the direction of the vector fieldX. • IfTis a vector field, thenLieDerivative(X, T)coincides with the Lie bracket[X, T] = LieBracket(X, T). • IfTis a differential 1-form, thenalpha = Lie...
The generalized Fermi derivative of a vector field and being generalized non-rotating conditions are analyzed along the curve on the surface in Euclidean 3-space. Then a correlation is found between generalized Fermi derivative, Fermi derivative, and Levi-Civita derivative in n. Then we examine ...
1. Commutator of vector field. Given a manifold M , and two vector field X,Y, the commutator of the two vector fields is also a vector, defined by ( ∀f a scalar field): [X,Y]pf:=Xp(Y−f)−Yp(X−f) 这里, X−f 和Y−f 都是标量场。把向量场用坐标基展开,可以得到...
The Lie derivative of a differential form is defined in a similar way to the Lie derivative of a vector field, but the chapter uses the pullback instead of the pushforward to compare nearby values. One can rearrange the product formula so that it becomes the global formula for the Lie ...
Curl of a Vector | Formula, Calculation & Coordinates Finding the Divergence of a Vector Field: Steps & How-to Vector Functions: Definition, Examples & Graphing Using Scalar Fields to Make Inferences Create an account to start this course today Used by over 30 million students worldwide Crea...
2) Derivative of vector field 向量场导数3) probability tomography of field-derivative 导数场概率成像4) Field equations of 4-derivative gravity 4-导数引力场方程5) Estimates of the Derivatives of the Vector Fields 向量场的导数估计6) market orientation 市场导向 1. Empirical research on ...
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