Suggestions on syntax to express mathematical formula concisely

Question

I am developing functional domain specific embedded language within C++ to translate formulas into working code as concisely and accurately as possible.

I posted a proto

Answer 1

Encapsulate!

I'm sure you'll find some syntax that balances concision and clarity. However good it is, it will be vastly improved by providing encapsulation. So instead of

qty = sum(range(i) < j < N))[(T(i,j) - T(j,i))/e(i+j)];

You could have

Texpr = (T(i,j) - T(j,i))/e(i+j);
RangeExpr = (range(i) < j < N);
qty = sum(RangeExpr)[ Texpr ];

That might afford you more verbosity in the syntax.

PS: Isn't this Mathematica? Mathematica C/C++ Language Interface