False. Counter-example available on request :-p.
Thanks for starting the ball rolling Adam! But remember folks, he might not be correct, so don't worry if you disagree with his answer! That "counter-example", valid or not, will feature in the next post. Thanks!
true
Oh good, we have a clash of opinions! I do love to maths debate. :-)
You just had to get that in, didn't you...?Anyway, it's false.
I couldn't resist!Can you give me an interesting counterexample?
Counterexample: 0^1 = 0^2 but 1 ≠ 2
Congratulations anonymous, you've managed to come up the most boring counterexample EVER! But I suppose it is valid, so well done! :-)Can anyone come up with a less trivial counterexample?
e^0 = e^(2*pi*i) = e^(4*pi*i) = etc ( = 1)
Beautiful!
False. Counter-example available on request :-p.
ReplyDeleteThanks for starting the ball rolling Adam! But remember folks, he might not be correct, so don't worry if you disagree with his answer! That "counter-example", valid or not, will feature in the next post. Thanks!
Deletetrue
ReplyDeleteOh good, we have a clash of opinions! I do love to maths debate. :-)
DeleteYou just had to get that in, didn't you...?
DeleteAnyway, it's false.
I couldn't resist!
DeleteCan you give me an interesting counterexample?
Counterexample: 0^1 = 0^2 but 1 ≠ 2
ReplyDeleteCongratulations anonymous, you've managed to come up the most boring counterexample EVER! But I suppose it is valid, so well done! :-)
DeleteCan anyone come up with a less trivial counterexample?
e^0 = e^(2*pi*i) = e^(4*pi*i) = etc ( = 1)
ReplyDeleteBeautiful!
ReplyDelete