2016年10月31日 · The vector arrows circulate a central axis, you can think of them as tangents to circles. The field does not depend on the height z. The lengths of the arrows is a function of …

2007年12月19日 · A vector field selects one vector from each tangent space. Vector fields are often depicted in diagrams showing arrows are extending from a bunch of representative …

2007年2月10日 · You did not say you were given a vector field that happened to have divergence equal to 0! If you are given a vector field, say, u(x,y,z)i+ v(x,y,z)j+ w(x,y,z)k with divergence 0, …

2012年8月8日 · Expansion Field Taylor Taylor expansion Vector Vector field Aug 8, 2012 #1 Trifis. 167 1. I was wondering ...

2020年5月14日 · Hello, A generic vector field ##\\bf {F} (r)## is fully specified over a finite region of space once we know both its divergence and the curl: $$\\nabla \\times \\bf{F}= A$$ …

2011年5月25日 · Ok i assume: [tex]\hat{r}=\vec{e_r}[/tex] is the unit vector in radial direction. So the following vector field should be evaluated ( i added a minus sign, just remove it for your …

2004年12月12日 · It is legitimate, since the vector field [tex]\vec{F}[/tex] is only required to be defined at the points on the surface S. 4) Precisely because we have a singularity within S, we …

2012年1月7日 · For vector fields in [itex]ℝ^{2}[/itex], we have the single condition [itex]f_{y}[/itex] = [itex]g_{x}[/itex]. == Q. I'm also studying elementary differential equations and it looks to me …

2011年3月22日 · A vector field assigns only one vector to every point, but every vector so assigned may be different. A uniform vector field assigns the same vector (or a copy if you will) …

2014年6月14日 · In 3D, given a scalar field f(x,y,z) is possible to compute the surface integral ##\iint f d^2S## and the volume integral too ##\iiint f d^3V##. So, given a vector field in f in 2 …