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These are questions asked by gst

Is it possible to create an array of fun...

gst 10 Maple
recursion duplicate-question
December 07 2020
2 4

If I have some similar functions, say sin(x), sin(2x)..., what approach is better:

f(i,x):=(i,x)->sin(i*x)

or

f[i](x):=x->sin(i*x)

?

Or maybe there is another way?

The second one seems more natural for me but  I've stucked with an error:

 

divide5.mw
 

NULLNULL

restart; divide5 := proc (f) local x, r; r := unapply((1/5)*f(x), x); eval(r) end proc; f := proc (x) options operator, arrow; x^2 end proc; f := divide5(f); f(3)

9/5

 (1)

restart; divide5 := proc (f) local i, x, r; r := unapply((1/5)*f(i, x), i, x); eval(r) end proc; f := proc (i, x) options operator, arrow; x^2+i end proc; f := divide5(f); f(5, 3)

14/5

 (2)

restart; divide5 := proc (f) local x, r; r := unapply((1/5)*f(x), x); eval(r) end proc; f[i] := proc (x) options operator, arrow; x^2+i end proc; f[5] := divide5(f[5]); f[5](3)

Error, (in f[5]) too many levels of recursion

  

NULL


 

Download divide5.mw

 


What's the matter?

Thank you for your answers.

 

Division assignment for function in Mapl...

gst 10 Maple 2017
syntax operator recursion
December 03 2020
3 10

The input

f(x) := x^2;

n := evalf(int(f(x)^2, x = 0 .. 1));

f(x) :=  f(x)/n;

plot(f(x), x = 0 .. 1)

leads to the error

Error, (in f) too many levels of recursion
I need to reassign the function as itself divided by n that depends on the old f...

A piece of code like this is supposed to be inside a loop, so creating f_new(x):=f(x)/n doesn't solve the issue.

If it was a cpp code I'd write something like f(x)/=n for every x. How can I do it in Maple?

Thank you in advance for you answers!

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