[Tex/LaTex] e^{…} vs \exp(…) in display mode

math-modemath-operators

In terms of readability as well as correct syntax, what is more preferred in mathematical equations: e^{...} or \exp(...) — and why?

For instance, e^{x^2/(4t)} or \exp(x^2/(4t)). The latter is easier in that I can directly convert this expression into Mathematica for instance and then manipulate it, whereas the former I must convert each instance of e manually to E. On paper, the former is easier to read.

Typographically, depending on the argument, when should one use e^{x^2/(4t)} or when should one use \exp(x^2/(4t))?

Best Answer

Let's see what Ellen Swanson in page 20 of her classic Mathematics into Type has to say about this:

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