I have this (which finds each Fourier term of a sequence)

term := proc(lst,k::integer)
    local n;
    n := nops(lst);     
    seq(lst[m+1]*exp(-I * 2*Pi/n *(k*m)),m=0..n-1);
end proc;

Now I call it as

term([1,2,3],1);

and it returns

So it evaluated and convert the exp(-I * 2*Pi/n *(k*m)) terms. I wanted to keep these as is, so I can compare result with textbook. Then do simplify if I wanted to above output. 

I can do that if I use small pi instead of large Pi, like this

term := proc(lst,k::integer)
    local n;
    n := nops(lst);     
    seq(lst[m+1]*exp(-I * 2*pi/n *(k*m)),m=0..n-1);
end proc;

and now r:=term([1,2,3],1); return

Which is what I wanted, but with Pi instead of pi.  now how would I evaluate the above?

I tried to use subs to replace small pi with large Pi, but it does not work

subs(pi=Pi,r); #error

Then I tried eval, which worked

eval(r,pi=Pi);

So, I can use the above method.

My question is: Is the above a common way to handle such case? Is there another way to use Pi but at the same time prevent Maple from automatic simplification of the exp() terms?

There is a slight display difference of the code between showstate() and print(). It has to do with '` name `' use where print does not show the outside '' characters.

Here is an example

restart;
showstat(`dsolve`);

and now using print

restart;
interface(verboseproc=3);
print(`dsolve`);

When I used

with(LibraryTools);
Browse();

and looked at the source code there, it matched what showstat(`dsolve`); gave and not the print command. Is there a reason why print does not show all those extra characters exactly as in the source code? It seems a formatting issue, but it is better to be looking at an exact copy of the source code.

Under what is new in Maple 2015, it gives lists of commands that has been updated. For example

So suppose one wants to find what changed in the "add" command, how would they find this out? Clicking on the add command shows no indication of what was changed or what options added or modified. For example, with Mathematica, clicking on command, shows the changes in the current releases with different color (light yellow) when clicking on "show changes" (here is an example)

Is  this information available somewhere else? May be using the command line with some option?

Just giving list of commands changed, without any indication of what changed, is not very useful really.

When I export to latex a matrix  <<a|b>,<c|d>>, the latex uses \begin[ and \end]

\left[ \begin {array}{cc} a&b\\ \noalign{\medskip}c&d\end {array} \right]
Is there a way to make Maple use () parenthesis instead of []? The screen display is not important for me in Maple, but I'd the latex to use () instead.  It will be nice if there is way to configure this. I looked but could not find an option.

For learning, I was trying to implement this in Maple. Given this matrix

m:=<<"foobar"   | 77>,
         <"faabar"   | 81>,
         <"foobaa"  | 22>,
         <"faabaa"  | 8>,
         <"faabian"  |88>,
         <"foobar"  | 27>,
         <"fiijii"      | 52>>;

And list of keys 

keys:={"foo","faa"}:

The idea to find the entries (in first column) which starts with the keys, and sum the corresponding numerical value in the second column. The result will be

r:= <<"foo"|126>,
        <"faa"|177>>

I tried using select, but select, once something is found, does not allow one to do anything more, so it is not very useful. For example  select[flatten](x->x[1..3]="foo",m);  just returns the fields in first column. 

I can extract rows I want like this

f:=x->seq(`if`(m[i,1][1..3]=x,m[i],NULL),i=1..7):
r:=map(f,keys);

Not very useful, but at least I got the parts I want, but still need to process these again.

I could write a loop to do the whole thing, but I am trying to avoid this.

What would be the correct Maple way to do this? I think there might be a command in some package that will do this in one or 2 lines only.