Search found 16 matches

by Nic
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^...
by Nic
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 ...
by Nic
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.
by Nic
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...
by Nic
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...
by Nic
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...
by Nic
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:
Halve everything that's a power of 1/2, and fix everything that isn't.
by Nic
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 ...
by Nic
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...
by Nic
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.
by Nic
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...
by Nic
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...
by Nic
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...
by Nic
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.
by Nic
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...
by Nic
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.

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