For an example of how this can go horribly wrong, look at the keyboard required to code in APL (https://en.wikipedia.org/wiki/APL_(programming_language)).
Remember that when APL was created these things were not set in stone and what seems wrong to you in retrospect made perfectly good sense at the time (and in fact still makes perfectly good sense today, it's just that the world has moved on from APL to languages that are more verbose and/or that do not require symbols like these).
Math is another such language, and there is no keyboard suitable for entering mathematical expressions so we use software like LaTeX instead.
At least with the APL keyboard the link between input and display was very direct, with LaTeX much less so.
What?