The kronecker-symbol for two integers n,m
is defined as 1
if n=m
and 0
otherwise.
Is there an inbuilt kronecker-symbol in maple or an easy way to implement it?
Sorry, if I should have overlooked something trivial, the maple-homepage is down at the moment and google did not return anything helpful.
Edit: I Just found something useful here:
restart:
delta := table(symmetric,identity);
simplify(delta[1,2]);
simplify(delta[1,1]);
delta := TABLE(symmetric, identity, [])
0
1
However it does not seem to simplify even trivial expressions with symbols:
simplify(delta[n,n]);
simplify(delta[n,n+1]);
delta[n, n]
delta[n, n + 1]
where one would expect to obtain 1
and 0
, respectively.
Edit 2: I also tried it this way:
restart:
delta := proc(n,m):
if n=m then 1 else 0 fi;
end;
delta(1,2);
delta(1,1);
delta(n,n);
0
1
1
However, this also works poorly for symbols, as
delta(n,m);
returns 0
.
Try this delta:= (m,n)-> `if`(evalb(m < n)::truefalse, `if`(m=n,1,0), 'procname'(m,n)) ;