“Exponentiation on reals has no left identity.” What does this mean exactly?

Printable View

- Mar 4th 2009, 06:31 PMthehollow89predicate logic
*“Exponentiation on reals has no left identity.” What does this mean exactly?*

- Mar 6th 2009, 02:06 AMGrandadIdentity element
Hello thehollow89Exponentiation on reals takes a real number, , and raises a base, , say, to the power of . So, using notation, exponentiation can be defined as the binary operation:

.

A left identity is an element in the domain of , such that in the domain.

So to say that exponentiation on reals has no left identity is to say that there is no real number for which .

Grandad