Hi:

I have a number of functions all enclosed inside the Sum functionin the  following form:

Test:=Sum(f1(n)+f2(n)),n=1..infinity);

Each of the functions f1, etc are fairly complicated, and there are more than two, but this example will do.

How do I get Maple to expand Test into the form:

Test:=Sum(f1(n),n=1..infinity) + Sum(f2(n),n=1..infinity);

I've tried every combination of expand, simplify, combine collect, that I can think of - nothing works.

Thank you

Your answer makes sense if Maple evaluates from innermost to outermost, so the substitution in T2c takes place AFTER Test is evaluated with a symbolic value of "n".

 But it doesn't explain why the "assuming" examples work - or don't work. If "Test" is evaluated first, then none of the examples should work; if the assumption is passed through "simultaneously" (whatever that means), then the wording of the error message doesn't make sense...

The attached file demonstrates that a substitution into a piecewise function appears (sometimes) to execute the wrong half of the function.

If I use "assuming" instead of substitution, the assumption appears to get through to the piecewise function, but only sometimes.

I don't understand why this happens. Can anyone clarify what is going on? See below.

Thank you.

 

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