Search found 24 matches

Thu Dec 09, 2010 3:12 am UTC
Forum: Mathematics
Topic: P(N) question
Replies: 4
Views: 552

Re: P(N) question

You are correct. That's what I was trying to do. And now that you've explained it, it is indeed something simple that I was overlooking. P(N) contains an infinite number of infinite sets, so Cantor's diagonal argument applies just the same as it does to the set of irrational numbers, correct? Now I ...
Thu Dec 09, 2010 2:52 am UTC
Forum: Mathematics
Topic: P(N) question
Replies: 4
Views: 552

P(N) question

OK, I've never taken a class that covers set theory or anything, and my very limited knowledge of the subject is both recent and gleaned mostly from Wikipedia. I know that \mathcal{P}(\unicode{x2115}) is uncountable, although I haven't seen the proof. I want to try to figure it out on my own...
Thu Nov 18, 2010 8:40 am UTC
Forum: Mathematics
Topic: Disguised forms of 2
Replies: 114
Views: 12987

Re: Disguised forms of 2

Here's my contribution:
${{sin([i^{-i} \cdot i^{-i}]^e + e^{\pi e})}\over{cos(e^{\pi e})\cdot sin([i^{-i} \cdot i^{-i}]^e)}}=2$
Which of course just means that
$(i^{-2i})^e = e^{\pi e}$
Is that cheating?
Thu Nov 18, 2010 4:06 am UTC
Forum: Mathematics
Topic: Taylor polynomial question
Replies: 5
Views: 875

Re: Taylor polynomial question

Ah, thank you. That clears that up. Also, I don't know where I got 34 from. It's definitely 33. Interestingly, the 33rd degree is the same as the 32nd degree, since every other term has sin(0) in the numerator. So you can infer that if the 33rd degree is sufficient, then so is the 32nd. And n = 32 a...
Thu Nov 18, 2010 12:18 am UTC
Forum: Mathematics
Topic: Taylor polynomial question
Replies: 5
Views: 875

Re: Taylor polynomial question

Yeah, I'd expect n = 34 to work. The question is, does n = 32 also work, and my method of solving didn't get me the lowest possible value for n? Or is there something wrong with my script such that n = 32 doesn't really work?
Wed Nov 17, 2010 10:31 pm UTC
Forum: Mathematics
Topic: Taylor polynomial question
Replies: 5
Views: 875

Taylor polynomial question

OK, this was a homework problem. I've already solved it, but I have a question that i hope someone finds interesting. Here's the problem: Taylor's theorem states that if T_n(x) is the n th degree Taylor polynomial of f(x) = cos(x) centered at a = 0 , then for all \beta there ...
Sat Jun 09, 2007 11:28 am UTC
Topic: a short story
Replies: 11
Views: 2928
I didn't find much humor in it, though I did like the over-explanation of the coin in the air..(was that suppose to be humorous? lol) Yeah, it was supposed to be funny I guess. It's not really a Mel Brooks or Monty Python kind of thing. It's meant to be more like Douglas Adams I guess. Only there a...
Sat Jun 09, 2007 2:59 am UTC
Topic: a short story
Replies: 11
Views: 2928
It's supposed to be kind of funny. Did you guys find it to be humorous? And what'd you think of the concept? Did it make sense to you? It's supposed to make a kind of satirical point. Is it the concept itself that's bland? Or does it just need to have more of a plot? Or is it lacking something else?...
Fri Jun 08, 2007 9:41 pm UTC
Topic: a short story
Replies: 11
Views: 2928
So umm... anyone read it yet?

Fri Jun 08, 2007 2:09 am UTC
Topic: a short story
Replies: 11
Views: 2928

a short story

I'm looking for some constructive criticism. Let me know if you like it.

http://mwmccarthy.com/kantma/

I've been thinking about expanding it, and I wrote a second part which I don't think is very good, but I'll post it if anyone is interested.
Thu Jun 07, 2007 12:09 am UTC
Forum: General
Replies: 115
Views: 13776
Kids are not a capstone or a trophy for your successful life. And they aren't something you "try out". They *are* your life, for a large part of it. They require a heinous amount of effort, a huge investment of time, and a gigantic chunk of money. They require you to be emotionally availa...
Thu Jun 07, 2007 12:00 am UTC
Forum: General
Replies: 115
Views: 13776
Don't you guys want to make copies of your genes?
Wed Jun 06, 2007 11:02 pm UTC
Forum: General
Replies: 115
Views: 13776
Here's my kids 6 months ago. The boy is now almost one year old, and the girl is almost two.

Wed Jun 06, 2007 10:45 pm UTC
Forum: Mathematics
Topic: 0!=1
Replies: 60
Views: 11617
dammit! Everytime I read this I read "zero not equal to one" I still can't read != as "factorial equals"... it just feels wrong to me... (0! = 1) != (0 != 1) I'd say that the thread title is ambiguous, but this is the mathematics forum. Also, for anyone that's interested, the Wi...
Mon Jun 04, 2007 9:29 pm UTC
Forum: Mathematics
Topic: A debate over some simple probabilities
Replies: 48
Views: 8989
Just for the record, I wasn't trying to save face by changing the question. I didn't change the question at all, I was just asking a different question than my friends were. I acknowledged that the 1 in 50 solution was the correct answer for the question they were asking, but they could not (or woul...
Sat Jun 02, 2007 1:47 am UTC
Forum: Mathematics
Topic: A debate over some simple probabilities
Replies: 48
Views: 8989
I'll tell you a shocking story. This morning, I parked my bike next to a car that had the following license plate number: JF-24-UE Amazing, isn't it? I mean, the odds of that exact license plate number are really really tiny! Even more shocking: I was playing a game of hearts, and I was dealt 13 ra...
Sat Jun 02, 2007 1:34 am UTC
Forum: Mathematics
Topic: A debate over some simple probabilities
Replies: 48
Views: 8989
I think it makes sense to say what the natural question to consider is, though. Ex: my 1-in-a-trillion coin-flipping example above. Natural to whom? Anyway, although I understand the point you're making, I don't think your reductio ad absurdum is especially relevant here. Obviously the question was...
Sat Jun 02, 2007 12:03 am UTC
Forum: Mathematics
Topic: A debate over some simple probabilities
Replies: 48
Views: 8989
Well, was there anything special about the table, other than that you sat there? It was right by the trash bins, which I why I remembered that it was the same table in the first place. I hate sitting by the trash. You're starting the thought process from before the first time you went to the restau...
Fri Jun 01, 2007 11:52 pm UTC
Forum: Mathematics
Topic: A debate over some simple probabilities
Replies: 48
Views: 8989
Well, that still seems ambiguous. I mean, unless it's special for a reason other than you sitting there, asking about the odds of sitting at table 16 twice in a row is a silly question. Since the odds are high you would have commented on a repeated seating regardless of where you sat, your friends ...
Fri Jun 01, 2007 11:43 pm UTC
Forum: Mathematics
Topic: A debate over some simple probabilities
Replies: 48
Views: 8989
... that's not the same question. Isn't it? I think it's phrased rather ambiguously. Anyhow, although I didn't include it in my post, I did explain to my friends that I was talking about the odds of sitting in that specific spot both times. They still insisted that the original seating selection wa...
Fri Jun 01, 2007 11:33 pm UTC
Forum: Mathematics
Topic: A debate over some simple probabilities
Replies: 48
Views: 8989
Woxor wrote:If the question were, "What are the odds of sitting in THIS place twice in a row?" you'd be right.

That is indeed the question. Otherwise I wouldn't have bothered with the coin flipping explanation.
Fri Jun 01, 2007 11:12 pm UTC
Forum: Mathematics
Topic: A debate over some simple probabilities
Replies: 48
Views: 8989

A debate over some simple probabilities

I happened to visit the same restaurant twice in the same week, accompanied by different people each time. Both times it was someone else (besides me) that chose where we sat. And both times we happened to sit in the same place. On the second visit I mentioned that we were sitting in the same place ...
Fri Jun 01, 2007 1:49 am UTC
Forum: General
Topic: INTRO THREAD 2.0: INTRODUCE YOURSELF OR PERISH!
Replies: 2548
Views: 326389
Hello, everyone. These fora look totally rad to me, and from the little bit of lurking I've done it seems like the people here generally have the same charm that the xkcd comic has: you're intelligent and interesting and you don't take yourselves too seriously. So without further ado I'll get to the...
Fri Jun 01, 2007 1:47 am UTC
Forum: General
Topic: By popular demand: Post your face!
Replies: 3963
Views: 607183
This is what I look like:

Complete with introduction!