Curvature of a Plane Curve Definition: If T is the unit vector of a smooth curve, the curvature function of the curve is κ=|dTds|. 曲率的意义是曲线扭曲的程度,如图,直线“不曲”,因此曲率为0. 曲率越大,曲线就越弯。 曲率的计算方法:一般情况下,用定义是不方便计算 κ 的值的,所以我们找一...
Unit Tangent Vector:Let r(t) be a differentiable vector valued function and v(t)=r(t) be the velocity vector. Then we define the unit tangent vector by: T(t)=v(t)‖v(t)‖ Unit Normal Vector: Let r(t) be a differentiable vector valued function and let T(t) be the unit ...
Describe the meaning of the normal and binormal vectors of a curve in space.We have seen that the derivative r′(t)r′(t) of a vector-valued function is a tangent vector to the curve defined by r(t)r(t), and the unit tangent vector T(t)T(t) can be calculated by dividing r′...
In analogy with the normal curvature of a curve C in V n , the generalized normal curvature of C at any point of it, relative to the curve of the congruence through that point, has been defined as the negative of the resolved part along C, of the derived vector of the unit tangent ...
A normal vector to a plane specified by (2) is given by (3) where denotes the gradient. The equation of a plane with normal vector passing through the point is given by (4) For a plane curve, the unit normal vector can be defined by (5) where is the unit tangent vect...
normal vector of a surface 曲面的法线矢量 normal to a surface 曲面的法线,表面的法线 normal vector 标准矢量 surface normal 曲面法线 normal surface 垂直面,正交面 normal curvature vector 法曲率向量 outer normal vector 外法线向量 outward unit normal vector 外向单位法向向量 spacelike normal...
Unit Normal Vector In subject area: Computer Science A 'Unit Normal Vector' refers to a vector that is perpendicular to a curve or surface at a specific point and has a magnitude of one. AI generated definition based on: Riemannian Geometric Statistics in Medical Image Analysis, 2020 About ...
The unit vector normal to a curve specified by the parametric equations r(t)=x(t)i+y(t)j+z(t)k is given by N(t)=x″(t)i+y″(t)j+z″(t)k‖x″(t)i+y″(t)j+z″(t)k‖ where " is the second derivative and ‖‖ is the norm op...
Tourism is a vector of exchanges and a tool for the preservation of cultural diversity, especially in post-conflict areas [...] unesdoc.unesco.org 旅游业是交流 媒介,也是保护文化多样性的手段,尤其是在旅游业可起到整合作用的冲突后地区。 unesdoc.unesco.org...
Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) = ti + (4/t)j, t = 2 Unit Normal Vector: The normal vector to the curver(t)is given byN(t)=r″(t) The unit normal vector is given by...