Recall that one can visualize the curl of a three-dimensional vector field <https://mathinsight.org/curl_idea>F=(F1,F2,F3) F = ( F 1 , F 2 , F 3 ) by inserting a small sphere into a fluid with flow given by <https://mathinsight.org/vector_field_fluid_flow>F F , fixing the center of the sphere, and allowing the sphere to rotate in any direction. The direction of the vector curlF curl F is given using the right hand rule, and the magnitude ∥curlF∥ ∥ curl F ∥ is given by the speed at which the sphere rotates
> On Mar 1, 2023, at 12:23 PM, Michal Wallace <[email protected]> wrote: > > I guess the word is "curl"...? But wikipedia's explanation is not terribly > penetrable to me. > > > On Wed, Mar 1, 2023 at 12:21 PM Michal Wallace <[email protected]> > wrote: > >> What is the word for what the arrows mean in viewmat when you are looking >> at complex numbers? >> >> I think that multiplying a number by the arrow's corresponding point is >> going to do some kind of shearing (?) in that direction, but can someone >> help me put this concept into words? >> >> Thanks! >> -Michal >> > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
