<

Question: how to change subexpression with some specific pattern?

I need to change any occurance of   anything*sqrt(anything)  to say Z in any large expression.  (later, I can add the correct replacement once I know how to do it for Z).

I can change   sqrt(anything) with the help of the answers in Substitution-Of-Sub-Expressions-Is  but not  anything*sqrt(anything)

Here is an example to make it clear. Given

expr:=(-x + sqrt(9*x^2*exp(2*c) + 8)*exp(-c)+99)/(4*x)+ (a*sqrt(z)-99+sin(c*sqrt(r+4)+20))/3+10+1/(c+exp(-x)*sqrt(exp(x)))+sqrt(h)

Need to all some transformation on  those subexpressions circled above. For now, lets say I wanted to replace them with so it should becomes this

I can do this

subsindets(expr,anything^({1/2,-1/2}),ee->Z)

But I need to have the term (if any) that multiplies the sqrt as well included.

And that is the problem. Can't figure how to do it. When I try

subsindets(expr,anything*anything^({1/2,-1/2}),ee->Z)

Maple says Error, testing against an invalid type Ok. So anything*anything^({1/2,-1/2}) is not a type. What to do then?  Tried also subsindets(expr,t::anything*anything^({1/2,-1/2}),ee->Z) same error

And 

applyrule(t1::anything*sqrt(t0::anything)=Z, expr);

gives  which is wrong.

How to make this work in Maple using subsindets? Can one use pattern with subsindets? How to make a type for

               anything*sqrt(anything) 

Maple 2021.1

 

Please Wait...