YYyyyes! I rock! I found a polynomial of degree >0 in Z4 that has an inverse!
Okay, it's really not that exciting. I just needed to apply FOIL backwards. But I didn't think I could do it, because... I already lost everyone except t, tommyrot, and Nilly, didn't I? Anyway, polynomial which multiplied by another polynomial equals 1.
tommy, are you saying that your Apple and my computer are somehow responsible for the balance of the universe?
I think that's the only possible explanation....
Yay, Emily!
[Edit:
I think that's the only possible explanation....
Well, the system administrator is going to shut my side of the global balance down on Wednesday afternoon to see if he can do something about its re-freezings. Just in case you want to be responsible for the next apocalypse.]
What's Z4?
That should be Zsub4, but I'm lazy with the HTML. Basically, it's {0,1,2,3} with operations defined on it, so 2*2=0, 3+2=1, etc. So 2x+1 is, unless I'm mistaken, its own multiplicative inverse (that is, (2x+1)(2x+1)=1).
I had such high hopes for doing useful things today.
Oh well.
Perkins, could you e me your mailing address again? Thanks.
Sure. Insent in a minute.
For some reason, probably because I was searching for the infinity symbol in Word, I now have part of "My Hero, Zero" stuck in my head:
That's why with only ten digits including zero,
You can count as high as you could ever go...
Forever, towards infinity,
No one ever gets there, but you could tryyyyy.