> Well, if mathematicians use these concise notations, why shouldn't programmers? I believe it is because mathematicians don't want or need to take the time and

> Well, if mathematicians use these concise notations, why shouldn't programmers? I believe it is because mathematicians don't want or need to take the time and space needed to spell out these operators, variables, and functions in their papers. Mathematicians don't need to fight compilers, only other mathematicians. If Mathematicians needed to convince a compiler their equations, I'm sure they'd be forced to be fully explanatory and less handwavey at the margins.