但奇怪的是,在 Wald 书明确把这个概念叫做 tangent vector 的情况下,他在自己的书中定义 tangent vector 这个概念时却抛弃其前缀 tangent,直呼其为“矢量”(vector)。我们来对比一下这两本书的定义: Wald 书的定义: We define a tangent vector v at point p\in M to be a map v:\mathscr{F}\right...
After defining tangent vectors, we show how a smooth map between manifolds yields a linear map between tangent spaces, called the differential of the map, and a smooth curve determines a tangent vector at each point, called its velocity . In the final two sections we discuss and compare ...
Find the unit tangent vector T(t) at the point with the given value of the parameter t. r(t)=cos t i+3 t j+2 sin 2 t k, t=0 相关知识点: 试题来源: 解析 r'(t)=-sin t i+3 j+4 cos 2 t k ⇒ r'(0)=3 j+4 k. Thus T(0)=( r'(0))(| r'(0)|)=1(...
求翻译:trajectory is the tangent vector to the point [i.e., eq. (2.5)].是什么意思?待解决 悬赏分:1 - 离问题结束还有 trajectory is the tangent vector to the point [i.e., eq. (2.5)].问题补充:匿名 2013-05-23 12:21:38 轨迹点[即式的切向量。 (2.5)]。 匿名 2013-05-23 12:...
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Each Clarke tangent vector to a closed set in n at a point in the set is shown to be strictly tangent at that point to some Lipschitz continuous curve lying in the set. This result is quite different in nature from current descriptions of the Clarke tangent cone due to Clarke, Hiriart-...
tangent point切点;切向点 tangent plane切面相切平面 tangent modulus切线模量,切线模数;正切模量;地基应力和变形切线模量 hyperbolic tangent双曲正切 arc tangentn. 反正切 loss tangent损耗因数;损耗角正切 tangent space切空间;切丛;切线空间 tangent vector正切向量,切矢量 ...
tangent point切点;切向点 tangent plane切面相切平面 tangent modulus切线模量,切线模数;正切模量;地基应力和变形切线模量 hyperbolic tangent双曲正切 arc tangentn. 反正切 loss tangent损耗因数;损耗角正切 tangent space切空间;切丛;切线空间 tangent vector正切向量,切矢量 ...
tangent point切点;切向点 tangent plane切面相切平面 tangent modulus切线模量,切线模数;正切模量;地基应力和变形切线模量 hyperbolic tangent双曲正切 arc tangentn. 反正切 loss tangent损耗因数;损耗角正切 tangent space切空间;切丛;切线空间 tangent vector正切向量,切矢量 ...
Normal Curvature Let t = r u du + r v dv is a tangent vector of a surface M ∈ R3 , then the planar curve C at intersection between M and normal section plane has a curvature Kn (t ) at point r (u, v) which is called the normal curvature of M in the direction t. Given ...