MaplePrimes - answers and comments on Question, plotting strange functions

plots:-loglogplot

PatrickT — Fri, 01 Feb 2013 22:28:48 Z

plots:-loglogplot(x^(-3/8), x=10^3..10^8);

thx, i have two quick questions, is it possible

gdog — Sat, 02 Feb 2013 14:51:05 Z

thx, i have two quick questions, is it possible to joing the two up? Clearly there would have to be a gap in between. Also is it possible to plot multpiple piecewise functins, or piecewise and non piecewise functions on the same graph?

More exactly

Markiyan Hirnyk — Fri, 01 Feb 2013 22:44:42 Z

> restart; f := piecewise(`and`(x >= 0, x <= 10^3), 1, `and`(x > 10^3, x <= 10^8), 1/x^(3/8), undefined);

> plots:-loglogplot(f, x = 0 .. 5*10^8, y = 0 .. 2, thickness = 3, discont = true);

I put the constant to be equal to 1 for simplicity. Look at ?piecewise for more details.

join

PatrickT — Sat, 02 Feb 2013 17:40:02 Z

I guess you mean to select a constant such that the two lines make contact, in that case all you have to do is solve the system, i.e. constant:= 1/(1000)^(3/8); so adapting Markiyan's piecewise definition of f:

f := piecewise(`and`(x >= 0, x <= 10^3), 1/(1000)^(3/8), `and`(x > 10^3, x <= 10^8), 1/x^(3/8), undefined);

(check that this looks right)

as for combining, why don't you provide an example: usually you can do that with plots:-display(p1,p2) where p1 and p2 are previously defined plots.

Combining plots

Carl Love — Sat, 02 Feb 2013 17:56:12 Z

To answer your second question---about multiple functions on the same graph: Yes, all that is easily done with plots:-display. See ?PlottingGuide. For a complete answer, post your question in a separate thread.