Exponentiation in a sentence as a noun

For Shor's, I think this is due to the difficulty of encoding the modular exponentiation within the framework.

You could just as easily say there are zero trigonometric functions and do everything in terms of complex exponentiation.

Rather, you go on to learn about multiplication, exponentiation, etc. and hopefully, do so realising that they are all just fancy kinds of addition.

You could try repeated matrix multiplications, but why not an adaptation of the standard fast exponentiation algorithm?

For example, if you have just something like "10^23423 is bigger than 23454^10", there's no question about it, you can calculate the answer by using the definitions of integer numbers, product and exponentiation .

"- [Detailed explanation of the tradeoffs involved in choosing different definitions of exponentiation.

]So, it's not "because mathematicians said so", it's because of a deep review of the tradeoffs of defining how exponentiation generalizes, the kind of thing that mathematicians happen to study more than other identifiable groups.

Exponentiation definitions

noun

the process of raising a quantity to some assigned power

See also: involution