At least there was guilt! Surprise! Being caught!
Giles: Helping out with the dishes makes me feel useful. Dawn: Wanna clean out the garage with us
Saturday? You could feel indispensable.
'Dirty Girls'
Natter 40: The Nice One
Off-topic discussion. Wanna talk about corsets, duct tape, or physics? This is the place. Detailed discussion of any current-season TV must be whitefonted.
§ ita § - Dec 04, 2005 8:10:00 am PST #9180 of 10006
Well not canonically, no, but this is transformative fiction.
Emily - Dec 04, 2005 8:11:14 am PST #9181 of 10006
"In the equation E = mc⬧, c⬧ is a pretty big honking number." - Scola
t, I'm stuck on (well, I'm stuck on 5 out of 8 of the questions, but the first is):
Let A be the set of numbers in (3/5,2/3) that have decimal expansions containing only finitely many zeros and sixes after the decimal point and no other integer. Find the least upper bound of A. (prove your answer)
tommyrot - Dec 04, 2005 8:11:52 am PST #9182 of 10006
Sir, it's not an offence to let your cat eat your bacon. Okay? And we don't arrest cats, I'm very sorry.
What was the Poe (I think) story where the guy kills someone, and then becomes obsessed wiping his fingerprints off every object in the house?
Emily - Dec 04, 2005 8:13:07 am PST #9183 of 10006
"In the equation E = mc⬧, c⬧ is a pretty big honking number." - Scola
At least there was guilt! Surprise! Being caught!
Yes, but in my opinion the main thrust of the story was more atmosphere than plotline. What happens in the Raven? There's a bird which for some reason reminds him of his dead girlfriend, the end?
Laura - Dec 04, 2005 8:16:53 am PST #9184 of 10006
Our wings are not tired.
In case there was any doubt, the Miami Dolphins suck.
-t - Dec 04, 2005 8:21:28 am PST #9185 of 10006
I am a woman of various inclinations and only some of the time are they to burn everything down in frustration
Oh dear, that sounds like something I used to be able to do. Sorry, Emily, I am no help whatsoever.
Okay, wait, finitely many sixes after the decimal, so the least upper bound would probably be 2/3, because for any .66...6 with n-many 6s you can always just add another 6 on the end and get a higher member of the set. And if you mix 0s in there, it'll get lower.
No, that's probably still no help.
I think that the reader was supposed to be surprised by the walling up, it's just that we all know the story now.
Emily - Dec 04, 2005 8:24:39 am PST #9186 of 10006
"In the equation E = mc⬧, c⬧ is a pretty big honking number." - Scola
Okay, wait, finitely many sixes after the decimal, so the least upper bound would probably be 2/3, because for any .66...6 with n-many 6s you can always just add another 6 on the end and get a higher member of the set. And if you mix 0s in there, it'll get lower.
I suppose that's true. I guess I'm just confused by the use of "least upper bound" here. I mean, there's no number such that all numbers smaller than it in the interval are like that, except 3/5, and that doesn't seem to be the meaning.
tommyrot - Dec 04, 2005 8:26:05 am PST #9187 of 10006
Sir, it's not an offence to let your cat eat your bacon. Okay? And we don't arrest cats, I'm very sorry.
I don't see how it could be anything but what -t said. Unless I'm missing something....
-t - Dec 04, 2005 8:31:15 am PST #9188 of 10006
I am a woman of various inclinations and only some of the time are they to burn everything down in frustration
Ganked from [link]
The least upper bound, called the supremum, of a set S, is defined as a quantity M such that no member of the set exceeds M, but if ? is any positive quantity, however small, there is a member that exceeds M - ?.
I think it's 2/3. I don't think I can prove it.
(The ?s are epsilons)
tommyrot - Dec 04, 2005 8:32:43 am PST #9189 of 10006
Sir, it's not an offence to let your cat eat your bacon. Okay? And we don't arrest cats, I'm very sorry.
I don't think I can prove it.
Can you assume it's not true, and then show that assumption results in a contradiction?