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Attempt to formally generalize log, exp functions to 3,4,5..(n,m) log exp
#8
bo198214 Wrote:@Ivars: this proof also works for hyperreals.


Sad Based on "language analogy" between real and hyperreal sets?

I will look into this deeper before making any new statements.

At least, as a first step, is it possible to construct such discontinuos function f(x) on real numbers which in each point is 0 if the point is approached from left, and 1 if approached from right( or vice versa)? So:




Alternatively :




Can we define a discontinuous function in such manner?

The one use of such function as a function of would be for any to discern from which side we are approaching it.

If we approach from left, this function has value e.g. 0 (alternatively 1)
if we approach from right ,this function has value e.g. 1 (alternatively 0)

Ivars
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Messages In This Thread
RE: Attempt to formally generalize log, exp functions to 3,4,5..(n,m) log exp - by Ivars - 06/03/2008, 08:49 AM

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