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Family Of Curves

William Fish's picture
Posted on 2008-03-09 19:05 By William Fish (Maple Rating 2 161)
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Can anybody tell me how to plot a family of indexed curves without having to type each one in the plot command?

View 4937_page 27.mw on MapleNet or Download 4937_page 27.mw
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I'd like to see anything anybody would do differently.

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gkokovidis's picture

Worksheet

Comment on 2008-03-09 21:00 from gkokovidis (Maple Rating 4 676)

I tried to download your worksheet, but it was blank.   

A simple example using the sequence command to plot a parabola a*x^2 with the variable a changing over a specified range.

>restart:

>p1:=seq(a*x^2,a=1..10):

>plot([p1],x);

P.S. Try reposting your worksheet. 

Later edit.  A more compact version of the code above:

>plot([seq((a*x^2),a=1..10)],x);

Regards,
Georgios Kokovidis
Dräger Medical
William Fish's picture

2nd Try

Comment on 2008-03-09 21:53 from William Fish (Maple Rating 2 161)

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I had a space in the file name.  I wonder if that could be the problem.  I took it out.

I like compact above.

Here is a fragment of the worksheet that you couldn't get:

> plot([T(1, theta), T(2, theta), T(3, theta), T(4, theta), T(5, theta)], theta = 0 .. Pi);

William Fish's picture

I'm A Convert

Comment on 2008-03-09 22:05 from William Fish (Maple Rating 2 161)

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I hope you can see the above worksheet.  I've converted to your way.  Now if I can just start thinking like you.  Thank you very much.

procedures work, too

Comment on 2008-03-10 01:23 from Joe Riel (Maple Rating 4 1248)

An alternate approach is to pass procedures rather than expressions to plot.  For example,

plot(map2(curry,T,[$1..5]),0..Pi);

Possibly a nicer approach is the following

T := (nk,theta) -> 2*cos((theta+beta)/2) + theta/nk:
plots[animate](plot, [curry(T,nk),0..Pi], nk=1..3);
William Fish's picture

Animation

Comment on 2008-03-10 08:20 from William Fish (Maple Rating 2 161)

Joe,

Thanks.  That's the first Maple animation that I've seen.

View 4937_page27.mw on MapleNet or Download 4937_page27.mw
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Does anybody know why there was a problem downloading the worksheet?  When I tried the download worked.  I'd like to try to avoid that problem in the future.

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