0
$\begingroup$

When we define a structure, let's say a group, we write $(G ,\oplus )$ for an operation $\oplus$. In case I want to define a structure with operation exponentiation I just define the $\oplus$ so that $a \oplus b = a^b$, which is what I have done until now. But a curiosity of mine is, if there exists, or if it ever existed, a symbolic representation of exponentiation.

Thus, have you ever come across a symbol for exponentiation?

$\endgroup$
  • 1
    $\begingroup$ What about the up arrow $\uparrow$ ? $\endgroup$ – Yves Daoust Feb 11 '15 at 14:16
0
$\begingroup$

Generally the caret ( ^ ) symbol and (as Yves mentioned) the up arrow ( ↑ ) is used for exponentation.

$\endgroup$
  • $\begingroup$ I suppose, after reading the Wikipedia article on the arrow notation, that this latter is usually preferred to the first one, or is it just a matter of personal preference? $\endgroup$ – eslukas Feb 11 '15 at 14:19
  • $\begingroup$ Where did you read it? @E.S.L. $\endgroup$ – Kunal Gupta Feb 11 '15 at 14:24
  • $\begingroup$ If I understood correctly, the use of the caret in order to express exponentiation comes from programming languages implementation, whereas the up-arrow is a more formal version of it. I might be wrong, I am just conjecturing. $\endgroup$ – eslukas Feb 11 '15 at 14:37
  • $\begingroup$ I have seen both in programming. $\endgroup$ – Kunal Gupta Feb 11 '15 at 14:43
  • $\begingroup$ Here: en.wikipedia.org/wiki/… <-Usage of caret $\endgroup$ – Kunal Gupta Feb 11 '15 at 14:48

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.