Re: implcit plot with undefined expression

*To*: mathgroup at smc.vnet.net*Subject*: [mg18830] Re: implcit plot with undefined expression*From*: "Dale Horton" <daleh at wolfram.com>*Date*: Thu, 22 Jul 1999 08:19:40 -0400*Organization*: Wolfram Research, Inc.*References*: <7n13kb$bf2@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

You can use Solve to create explicit equations and Plot the results. In[1]:= eqn = Sqrt[2*Sqrt[2X^2 - Y^2] - 2*Y + X^2] == 0 Out[1]= Sqrt[X^2 - 2*Y + 2*Sqrt[2*X^2 - Y^2]] == 0 In[2]:= cont = Y /. Solve[eqn, Y] Out[2]= {1/4*(X^2 - Sqrt[16*X^2 - X^4]), 1/4*(X^2 + Sqrt[16*X^2 - X^4])} In[3]:= Plot[Evaluate[cont], {X, -1, 1}] -Dale <zoominzero at hotmail.com> wrote in message news:7n13kb$bf2 at smc.vnet.net... > Hi, > I've spent 4 days to try to use ImplicitPlot on an equation, without > success: > The Equation I try to plot has 2 nested square roots, ans 2 variables : > something like Sqrt[2*Sqrt[2X^2 -Y^2] - 2*Y +X^2]==0 > (it's not exactly this one: it's just to give you an idea ) > > Of course this equation is not defined everywhere, and the domain where > it's defined is complex. When i try to "ImplicitPlot" this equation, > i've an answer : > "The contour is attempting to traverse a cell in which some of the > points have not evaluated to numbers, and it will be dropped" > followed by > "Further output of ContourGraphics::"ctpnt" will be suppressed during > this calculation." > > So i don't have any answers ( and there are answers of course :) > > Is there some options or another solution to draw this implicit equation > ? > > Thanks by advance > > > Sent via Deja.com http://www.deja.com/ > Share what you know. Learn what you don't. >