## 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:

[math]{{sin([i^{-i} \cdot i^{-i}]^e + e^{\pi e})}\over{cos(e^{\pi e})\cdot sin([i^{-i} \cdot i^{-i}]^e)}}=2[/math]

Which of course just means that

[math](i^{-2i})^e = e^{\pi e}[/math]

Is that cheating?

[math]{{sin([i^{-i} \cdot i^{-i}]^e + e^{\pi e})}\over{cos(e^{\pi e})\cdot sin([i^{-i} \cdot i^{-i}]^e)}}=2[/math]

Which of course just means that

[math](i^{-2i})^e = e^{\pi e}[/math]

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
- Forum: Your art and links
- 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
- Forum: Your art and links
- 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
- Forum: Your art and links
- Topic: a short story
- Replies:
**11** - Views:
**2928**

- Fri Jun 08, 2007 2:09 am UTC
- Forum: Your art and links
- 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.

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
- Topic: Official Kids Thread
- Replies:
**115** - Views:
**13776**

- Thu Jun 07, 2007 12:00 am UTC
- Forum: General
- Topic: Official Kids Thread
- Replies:
**115** - Views:
**13776**

- Wed Jun 06, 2007 11:02 pm UTC
- Forum: General
- Topic: Official Kids Thread
- Replies:
**115** - Views:
**13776**

- Wed Jun 06, 2007 10:45 pm UTC
- Forum: Mathematics
- Topic: 0!=1
- Replies:
**60** - Views:
**11617**

- 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**

- 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**