Mal ,'Objects In Space'
[NAFDA] Spike-centric discussion. Lusty, lewd (only occasionally crude), risque (and frisque), bawdy (Oh, lawdy!), flirty ('cuz we're purty), raunchy talk inside. Caveat lector.
This page is interesting [link]
This page attempts to show some of the ambiguities in defining some of the mathematical terms that might be encountered at the high school level. A number of these issues may seem quite trivial, and some are the result of consulting out-of-date texts. But many of these issues have led to disputed answers in mathematics competitions. Contributions and suggestions are welcome.
I think that 0^0=1 is one of those things where defining in that way makes a lot of theorems work out much more nicely; if 0^0 were anything but one, then a lot of theorems and proofs would be much less elegant.
Maths should be elegant.
Linux (or the KDE calculator) says not a number.
Bill Gates / Linus Torvalds 0^0 smackdown!
(although Linus has nothing to do with KDE.)
What does the Mac OS X one say?
OX X says 1.
Man, I'm nerdy.
You say that like it's a bad thing.
0 is like the submerged iceberg of the natural numbers. Most of the time you never even notice it, but then suddenly you trip over it, and it's all kinds of trouble.
But 0*0 = 0. That one we do know. It's 0/0 where we say, "No no no don't go there, that's the bad place!"
And my TI-83+ says "ERR:DOMAIN" for 0^0, by the way.
There's something cool about how mathematicians can't even agree if 0^0 is undefined.
I mean, either it's defined or it's undefined. Except it's both.
Or neither.
So I'm guessing that the symbol ^ means "to the power of"?