## Search found 16 matches

- Tue May 08, 2012 5:30 pm UTC
- Forum: Individual XKCD Comic Threads
- Topic: 1050: "Forgot Algebra"
- Replies:
**360** - Views:
**86854**

### Re: 1050: "Forgot Algebra"

I'm with Po6ept so far that arithmetic is a subset of algebra. You have a very specific ground field in mind, and the vanilla operations of addition and multiplication are being performed over them. But for the sake of comparison, the integers are a subset of the real numbers, and solving x^3+y^3=z^...

- Thu May 03, 2012 12:31 am UTC
- Forum: Individual XKCD Comic Threads
- Topic: 1050: "Forgot Algebra"
- Replies:
**360** - Views:
**86854**

### Re: 1050: "Forgot Algebra"

The observational premise is itself valid, but it's such a banal and importune perspective to take on so essential and dysfunctional a state of fact. . . . that perverse profession of ethos, compels me to the even more egregious sense . . . Dude, just because they call them 'five-dollar words', it ...

- Fri Nov 25, 2011 9:52 pm UTC
- Forum: Mathematics
- Topic: Expression for transforming a symbol
- Replies:
**9** - Views:
**5076**

### Re: Expression for transforming a symbol

Qaanol wrote:Not all relations are isomorphisms, and not all objects are isomorphic.

Moreover, this is a good thing, at least for those if us who wish to pursue careers in mathematics.

- Mon Nov 21, 2011 5:20 am UTC
- Forum: Mathematics
- Topic: ITT: Motivate me to care about pursuing ever larger ordinals
- Replies:
**19** - Views:
**5901**

### Re: ITT: Motivate me to care about pursuing ever larger ordi

You can certainly connect them to proof theory, like in Gentzen's proof that PA can be proved consistent and complete in PA+'induction through \varepsilon_0 ', which gives you a way of ranking formal systems by the amount of transfinite induction you need to prove consistency results. Also this is t...

- Fri Nov 04, 2011 7:56 pm UTC
- Forum: Mathematics
- Topic: Interesting problems which require the triangle inequality
- Replies:
**10** - Views:
**2443**

### Interesting problems which require the triangle inequality

So long story short, college freshmen aren't all that impressed by the fact that walking around two sides of a triangle takes longer than walking along one. Do you guys have any ideas on how to make them appreciate this more? Ideally, I'm looking for problems about physical systems other than just w...

- Sun Jun 05, 2011 2:57 am UTC
- Forum: Mathematics
- Topic: Too easy of an undergrad?
- Replies:
**20** - Views:
**3211**

### Re: Too easy of an undergrad?

For my abstract algebra class, other sections of the class do cover isomorphisms/ homomorphisms, our professor just chose not to. Okay, now I would be worried. Just out of curiosity, what did you do in that class? Write out multiplication tables? Trying to do algebra without being able to determine...

- Tue Mar 15, 2011 12:50 am UTC
- Forum: Mathematics
- Topic: [0,1] ~ [0,1) (Cardinality)
- Replies:
**5** - Views:
**4103**

### Re: [0,1] ~ [0,1) (Cardinality)

Pretty is in the eye of the beholder.

**Spoiler:**

- Mon Feb 28, 2011 10:25 pm UTC
- Forum: Mathematics
- Topic: Garden Parabolas (a Catenary Arch)
- Replies:
**5** - Views:
**1282**

### Re: Garden Parabolas (a Catenary Arch)

You want something quick and dirty, notice that you an get naive bounds without any effort. If you pull the midpoint up until the arch is taut, you would get a tent with height about 4.6 feet, and if you push it down until you get vertical sides and a flat top, you get a box three feet high. If you ...

- Tue Dec 07, 2010 7:42 am UTC
- Forum: Mathematics
- Topic: Useless Math
- Replies:
**60** - Views:
**10131**

### Re: Useless Math

Seconded. In that vein, I would say large cardinals are something indisputably useless. Half of these examples seem to be phrased "well people totally thought x was useless . . . until it turned out to be the best thing ever!!" but I can assure you \kappa -hyper-inaccessible cardinals will...

- Wed Dec 01, 2010 12:16 am UTC
- Forum: Mathematics
- Topic: infinite sum involving prime numbers
- Replies:
**11** - Views:
**2063**

### Re: infinite sum involving prime numbers

Well, according to Qaanol's cite, [imath]p(2)\approx0.452247\ldots[/imath], so somebody's off.

- Wed Dec 01, 2010 12:07 am UTC
- Forum: Mathematics
- Topic: infinite sum involving prime numbers
- Replies:
**11** - Views:
**2063**

### Re: infinite sum involving prime numbers

Wolfram Alpha will look for interesting real numbers close to the value you input. I tried with the approximation you gave and I got this , and then I tacked on a nine at the end and it gave me different possibilities, so that website is clearly pretty good at this. Try giving it to Wolfram to the 2...

- Tue Apr 13, 2010 7:42 am UTC
- Forum: Mathematics
- Topic: Math in Moscow
- Replies:
**29** - Views:
**6820**

### Re: Math in Moscow

...yeah, this is true. He can be a bit quiet... That's so terrible though, he was ok? There was an incident last semester that bears mentioning. We have a Pakistani kid who speaks fluent Russian, and he was on the metro in a weird part of town with a group of other Americans further back on the tra...

- Mon Apr 12, 2010 4:31 am UTC
- Forum: Mathematics
- Topic: Math in Moscow
- Replies:
**29** - Views:
**6820**

### Re: Math in Moscow

I was under the impression that he had some sort of family issue back in his home country to tend to, since he had to fly out back in the beginning of March for two weeks. But send me a message if I'm off base so I can edit my post. As for safety, I would disagree. I feel a lot more safe walking ar...

- Tue Mar 30, 2010 5:17 pm UTC
- Forum: Mathematics
- Topic: Math in Moscow
- Replies:
**29** - Views:
**6820**

### Re: Math in Moscow

I realized that right after I posted, but I'd argue it's hardly the most pressing concern of someone about to be STABBED TO DEATH.

- Mon Mar 29, 2010 5:52 pm UTC
- Forum: Mathematics
- Topic: Math in Moscow
- Replies:
**29** - Views:
**6820**

### Re: Math in Moscow

Just, one thing about Moscow that needs to be said -- wouldn't going there if you're . . . well, if you're not white. I have a friend who's dropping out of the program today and getting on a plane tomorrow: and though the subway blowing up had a little to do with it, it was mainly that he got jumped...

- Mon Jun 08, 2009 11:32 pm UTC
- Forum: Mathematics
- Topic: Math REUs 2009!
- Replies:
**4** - Views:
**1671**

### Re: Math REUs 2009!

Bumping for Penn State. If you're gonna be at MASS for summer or fall, join the facebook group here.