Re: Define a function as a graphics directive?

*To*: mathgroup at smc.vnet.net*Subject*: [mg105079] Re: Define a function as a graphics directive?*From*: fd <fdimer at gmail.com>*Date*: Fri, 20 Nov 2009 06:38:53 -0500 (EST)*References*: <he0ngh$43r$1@smc.vnet.net> <he3e6q$jau$1@smc.vnet.net>

Hi.. I was quite curious with your query..WRI should really introduce a ContourColorFunction... If you can express your equations in a ParametricPlot you can do what you want. Another way is to use StreamPlot, you'll have to define the vector field of your function f[z_, x_] = z Exp[-Sqrt[z^2 + x^2]/2.] Then the vector field along which f[z,x] is constant v[x_, y_] = {D[f[x, y], y], -D[f[x, y], x]} and the stream plot with lines StreamPlot[v[x, y], {x, -10, 10}, {y, -10, 10}, StreamColorFunction -> Function[{x, y, vx, vy, nxy}, Hue[f[x, y]]], StreamStyle -> "Line"] Many thanks for reminding me my undergrad calculus... Best F