Vlorbik, in yesterday’s discussion, threw out this little problem:

the absolute value can be defined in terms of the maximum function quite easily:
abs(x) := max{x, -x}.
but to define “max” in terms of “abs”takes a moment’s thought (or, in my case, several moments). give it a try!

I should mention, I did not find this one easy.

Do us a favor, and leave questions below, but put proposed solutions back here, so that others won’t see them by accident while they are still trying to solve. Thanks.

July 7, 2007 pm31 10:17 pm 10:17 pm

Uhm, I think I’m having a brain freeze, but I don’t see “the question” that needs a solution. I read it, re-read it, went to the grocery store, and reading it again, I still don’t see the question. Unless it is a proof of the statement you’re looking for?

Help!

2. July 7, 2007 pm31 10:35 pm 10:35 pm

Write a definition of maximum that depends on absolute value.

Vlorbik has given us an example the other way, how we can write a definition of absolute value that depends on maximum.