You have some ways to draw 2D curves in 3 variables f(x,y,z) 1.parametrize curve with two variables u,v with x = x(u,v); y = y(u,v); z = z(u,v) then f(x,y,z) = F(u,v) this can be done for many curves
2.use N discrete values for z and plot N curves f1(x,y) = f(x,y,z1), ..., fN(x,y) = f(x,y,zN) that gives N curves. Read next link and my answer in the "rainbow question" https://groups.google.com/forum/#!topic/sage-support/fQvpTVAq38w For electricy, maybe it's better to consider intensity i(t) (or voltage u(t)) as sum of complex functions i(t) = sum( Ak exp(fk*it) ) + sum( Ak exp(-fk*it)) k=1,...,K then your variables are: - t (time) for "x" - i (intensity) for "y" - couples of (amplitude,frequency) for z1 = (A1,f1) z2 = (A2,f2) 3. use the "projective" way projection is when you set values for some variables more generally when you set new relationship between them example: f(x,y,z) = x^2 +(y-1)^2 + (z-2)^2 - 8 and z = 6x + 3y (intersection of sphere with plane) On Wednesday, 21 October 2009 12:53:58 UTC+2, Sami wrote: > > > -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/groups/opt_out.
