Re: Drawing function with 3 variables in a graph

*To*: mathgroup at smc.vnet.net*Subject*: [mg71848] Re: Drawing function with 3 variables in a graph*From*: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>*Date*: Fri, 1 Dec 2006 06:21:47 -0500 (EST)*Organization*: The Open University, Milton Keynes, UK*References*: <ekmefu$8hs$1@smc.vnet.net>

royend at gmail.com wrote: > I want to draw a fairly complex function several times in one graph. By > using different colour I hope to present the development of my function > as the three variables changes. > > Earlier I have managed two variabels by using this: > Plot[Evaluate[ { Table[ f[t,m], {m,0,5}] } ], {t,-20,20}, > PlotStyle->etc] > > But this time I have met difficulties because one of my variables are > "hidden" inside the function f(t,m), like this: > g(a) = a/2 > f(t) = m*g(a)^t > m,a and t are variables. > > Therefore I need to control 3 variables and have tried this: > With[ {a=5}, Plot[ same as above].... > > I have read some about lists, graphics and so on but still haven't been > able to find any solution. > Do you have any tips for solving this? > A replacement rule for a, perhaps? g[a_] := a/2 f[t_, m_] := m*g[a]^t Plot[Evaluate[{Table[f[t, m], {m, 0, 5}] /. a -> 5}], {t, -20, 20}]; Plot[Evaluate[{Table[f[t, m], {m, 0, 5}] /. a -> 2}], {t, -20, 20}]; Regards, Jean-Marc