#21
|
||||
|
||||
Derek: Clever, except that 10x is only 9 bar. Nice flubbery, though.
Gatac
__________________
Katy: Can I have the skill 'drive car off bridge and have parachute handy'? Justin: It's kind of a limited skill. Greg: Depends on how often you drive off bridges. - d02 Quotes |
#22
|
||||
|
||||
Actually, Gatac, 0.9(bar) does equal 1. Derek's proof is valid.
__________________
FiveMinute.net: because stuff is long and life is short [03:17] FiveMinZeke: Galactica clearly needs the advanced technology of scissors, which get around the whole "yanking on your follicles" problem. [03:17] IJD: cylons can hack any blades working in conjunction |
#23
|
||||
|
||||
There's an easier proof, if I remember correctly.
(as an English major, this will be quite sloppy. apologies.) 1/3 = 0.3(bar) 3 x 0.3(bar) = 0.9(bar) 3 x 1/3 = 1 therefore 0.9(bar) = 1 that kosher?
__________________
YOU READ IT... ...YOU CAN\'T UNREAD IT! |
#24
|
||||
|
||||
One third is not 0.3, it's 0.333333 (and an infinite amount of 3 after that).
Does exposing those make me a bad person? Gatac
__________________
Katy: Can I have the skill 'drive car off bridge and have parachute handy'? Justin: It's kind of a limited skill. Greg: Depends on how often you drive off bridges. - d02 Quotes |
#25
|
||||
|
||||
Quote:
A looser argument is that given any two numbers which don't have the same value, we can always find a third which is strictly between them. But there's no number bigger than 0.9999... and less than 1.0000... If there were, it would have to either start out like 0.9999... but then differ from it in some decimal place (which would make it less, not greater) or start out like 1.0000... and then differ somewhere (which would make it greater, not less). Thus they can't be different numbers, so they can only be equal. Gatac: The notation (bar) in the posts above means infinite recurrence.
__________________
FiveMinute.net: because stuff is long and life is short [03:17] FiveMinZeke: Galactica clearly needs the advanced technology of scissors, which get around the whole "yanking on your follicles" problem. [03:17] IJD: cylons can hack any blades working in conjunction |
#26
|
||||
|
||||
He didn't say it it is .3 . He said it was .3 (bar), or
_ .3 which means .3333333333333333... And...I shoulda posted this when I originally wrote it. [EDIT: You also shouldn't have deformed the thread with a huge number that didn't wrap. - Z]
__________________
e of pi, fastest keyboard in the fora. e of pi: I know you have too much free time. Ddoof: HEY! e of pi: Well, so does anyone who posts on 5M.net. It comes from the extra 55 minutes. We are the BSG. Your resources and injokes wil be added to our own, depleting your fanbase. Resistance is futile. So say we all. Member of the Persons Who Believe that Ryan Connors Leslie Should Have Lines in Other Series Since He's Hardly In TOS Fivers |
#27
|
||||
|
||||
*slams forehead*
Geesh, I totally ignored the bar. Yes, that does make more sense now, even if I'm not particularly impressed with the findings. I'm *aware* that 9,9 (bar) is, for all intents and purposes, 10, but the proofs here feel strange. Particularly ijdgaf's, which basically gets two different numbers from the product of 3 times one third in what seems more like a rounding error to me than deep wisdom. Gatac
__________________
Katy: Can I have the skill 'drive car off bridge and have parachute handy'? Justin: It's kind of a limited skill. Greg: Depends on how often you drive off bridges. - d02 Quotes |
#28
|
||||
|
||||
we should have a thread with the best math proofs out there huh?
I like that :wink:
__________________
. |
#29
|
||||
|
||||
I seem to remember liking a proof I once saw for (sin x)', but I don't quite remember what it is. Calculus is getting further and further away.
I wish MathML were more ubiquitous so we could carry on these conversations with proper notations.
__________________
"Please, Aslan," said Lucy, "what do you call soon?" "I call all times soon," said Aslan; and instantly he vanished away and Lucy was alone with the Magician. |
#30
|
||||
|
||||
Proof: women are evil.
Assumption: Time is money. Therefore, time = money. Women = time x money Women = (money)^2 But money is the root of all evil: money = (evil)^1/2 Women = ((evil^1/2)^2 :. women = evil. My ex-girlfriend showed me that one. She found it immensely entertaining.
__________________
The first run through of any experimental procedure is to identify any potential errors by making them. |
#31
|
||||
|
||||
My geometry teacher showed us a list of twentyish methods of proving things. I'll see if I can find it.
Annnnnd....nope. Oh well. Anyway, one of them, that I like, is Proof By Illegibility, where you scrawl it out so as to be unreadable. Then when the teacher asks you what it says, you claim it's whatever the right aswer is.
__________________
e of pi, fastest keyboard in the fora. e of pi: I know you have too much free time. Ddoof: HEY! e of pi: Well, so does anyone who posts on 5M.net. It comes from the extra 55 minutes. We are the BSG. Your resources and injokes wil be added to our own, depleting your fanbase. Resistance is futile. So say we all. Member of the Persons Who Believe that Ryan Connors Leslie Should Have Lines in Other Series Since He's Hardly In TOS Fivers |
#32
|
||||
|
||||
My Algebra II teacher used to regale us with stories of his time in engineering school. One of his favorites was the one about the guy who got so hopelessly lost in his formulae that he proved the given.
__________________
Any truth is better than indefinite doubt. — Sherlock Holmes "The Adventure of the Yellow Face," Arthur Conan Doyle |
#33
|
||||
|
||||
Quote:
or this proofs of DOOM^2
__________________
. |
#34
|
||||
|
||||
Thanks, ddoof. Been looking for those.
__________________
e of pi, fastest keyboard in the fora. e of pi: I know you have too much free time. Ddoof: HEY! e of pi: Well, so does anyone who posts on 5M.net. It comes from the extra 55 minutes. We are the BSG. Your resources and injokes wil be added to our own, depleting your fanbase. Resistance is futile. So say we all. Member of the Persons Who Believe that Ryan Connors Leslie Should Have Lines in Other Series Since He's Hardly In TOS Fivers |
#35
|
||||
|
||||
Quote:
Proofs: I always liked proving that n^0=1, personally.
__________________
"There was a boy called Eustace Clarence Scrubb, and he almost deserved it." --The Voyage of the Dawn Treader, C. S. Lewis |
#36
|
||||
|
||||
^ I liked the proof I heard for 0!.
If 3! = 3*2*1 = 6, and 2! = 2*1 = 2, then 2! can also be expressed as 3!/3. Thus any n! = (n+1)!/(n+1), which is a rather redundant thing to say since really n! is just the product of all the numbers from 1 to n, right? But what about 0!?! (Will Zeke kill me for that?) Multiplying the numbers from 1 to 0 implies the answer would either be 0, or undefined if 1 must increment. But using the other formula, we see that 0! = (0+1)!/(0+1) = 1!/1 = 1. And sure enough, 0! = 1. But I've always found that proof kind of silly.
__________________
"Please, Aslan," said Lucy, "what do you call soon?" "I call all times soon," said Aslan; and instantly he vanished away and Lucy was alone with the Magician. |
#37
|
||||
|
||||
Quote:
Since N! = (N)(N-1)(N-2)...(3)(2)(1) And (N-1)! = (N-1)(N-2)...(3)(2)(1) Then N! = (N)(N-1)! If N = 1 Then 1! = (1)(0)! = 1 So, 0! = 1 ! = ()()!
__________________
Truer words were never spoken. Xeroc Central 5MChat: PHP/JS Chat 2.0 Click here to view the chat in progress! |
|
|