Yes. In general the mathematics that people bother to talk about is much, much more complicated than most programs. There is more complexity in a few words of m

Yes. In general the mathematics that people bother to talk about is much, much more complicated than most programs. There is more complexity in a few words of mathematics than most programs that exist; mathematicians are drawing on thousands of years of constant labor and forward progress from the brightest people in human history with every word or symbol they write. Plus, they feel free to invent new notation to capture the creative ideas they require it for at will. If your idea isn't new enough to require new notation, it's not really difficult/creative enough to be worth writing a paper about. Mathematics is written to express ideas for other humans to read, not for machines to execute correctly to accomplish a task. You will find algorithms written in mathematics (to prove a certain fact, sometimes we exhibit a procedure that is guaranteed to accomplish it) and they are generally clear and easy to read with simple syntax, etc -- the actual mathematics is in the proof that the algorithm is correct, or always terminates.