Bahamut

I thought it was for undergraduate mathematics and physics students, only. Some advanced public high schools will get their students to take the test I hear. Edit: Yeah...I never actually took the Putnam myself. Some of those tests looked like I could've done well on though.

I wouldn't feel too bad about not solving any of the problems. I've heard that some years the median score is a zero. That's usually because many high school students take the test.

Honestly I don't see what the big deal is, other than the price. And I would definitely not be surprised to see price cuts in the States similar to the ones in Japan. Other than the cost, does you're average consumer watch live E3 coverage, or even know what the hell E3 is in the first place? Do the read gaming blogs and keep track of every thing that comes out of some Sony exec's mouth? Do they care? The only people who are concerned about this kind of thing are hardcore gamers, and those kind of people are either so anti-Sony that they'd refuse to buy it simply out of spite or so into games that dropping $500 or so on a launch console isn't going to crush them too badly. What, exactly, has ACTUALLY been bad about the PS3 so far aside from the assumption of a high retail price? Well, that's just it, the casual gamers who wouldn't care about the hype do care about the price. Part of the appeal of the PS2 was its cheapness. I do wonder when Sony is going to be able to make enough consoles though - I don't think we'll see a price drop until over an year after launch.

Is H a subset of the real numbers? If so, then with a bounded set, you have the least upper bound and greatest lower bound. There must exist sequences in H that converge to the least upper bound and greatest lower bound. Then, there exist subsequences of each sequences such that the subsequences are monotone and converge to the least upper bound and greatest lower bound, respectively. Yeah, H is a subset of the reals. I don't follow your argument, though. Let's say H is the union of {1-1/n|n is a natural number} and {1+1/n|n is a natural number}. It's bounded by 0 and 2, but I need a sequence that is always increasing or always decreasing, rather, x_n>x_n+1 always or x_n<x_n+1 always. No such sequence converges to 0 or 2... the only way I can find such a sequence is if it converges to 1... I can't see how talking about the least upper bound or greatest lower bound helps me.. Yes - I'm just talking about the existence, guaranteed by theorems. If you don't have the particular theorems that I'm referring to, then just prove them - if you have an element that is not the least upper bound or greatest lower bound, you can find another element closer, and keep constructing it that way. Um. I need the sequence to be strictly increasing or strictly decreasing, not monotone. I think that's our delimma. If the least upper bound and the greatest lower bound isn't in your sets (i. e. if it's an open bounded set), then my method works in constructing a strictly increasing or decreasing sequence. Otherwise, that statement would just be plain false.

Is H a subset of the real numbers? If so, then with a bounded set, you have the least upper bound and greatest lower bound. There must exist sequences in H that converge to the least upper bound and greatest lower bound. Then, there exist subsequences of each sequences such that the subsequences are monotone and converge to the least upper bound and greatest lower bound, respectively. Yeah, H is a subset of the reals. I don't follow your argument, though. Let's say H is the union of {1-1/n|n is a natural number} and {1+1/n|n is a natural number}. It's bounded by 0 and 2, but I need a sequence that is always increasing or always decreasing, rather, x_n>x_n+1 always or x_n<x_n+1 always. No such sequence converges to 0 or 2... the only way I can find such a sequence is if it converges to 1... I can't see how talking about the least upper bound or greatest lower bound helps me.. Yes - I'm just talking about the existence, guaranteed by theorems. If you don't have the particular theorems that I'm referring to, then just prove them - if you have an element that is not the least upper bound or greatest lower bound, you can find another element closer, and keep constructing it that way.

Bahamut wins two vs. ks_soxfan.

Is H a subset of the real numbers? If so, then with a bounded set, you have the least upper bound and greatest lower bound. There must exist sequences in H that converge to the least upper bound and greatest lower bound. Then, there exist subsequences of each sequences such that the subsequences are monotone and converge to the least upper bound and greatest lower bound, respectively.

Doublepost! But no, I figured out how to do the question I was stuck with earlier today - it just involves the Triangle Inequality & the Negative Triangle Inequality.

Only in small doses. He sees why its a pain. Sometimes the methods of proofs just completely elude you even though it looks as though it should be simple. Sometimes it's just a lot of busy work too.

SoA had some tedious moments to it though. I enjoyed Tales of Symphonia far more.

So here's a question that involves basic complex variables that is annoying me that (hopefully) someone here could answer, although I probably will figure out sometime anyway. So suppose we have |1 - f(z)|/|1 + f(z)| <= |z|. (<= is less than or equal to) Prove that |f(z)| <= (1 + |z|)/(1 - |z|) I'm fairly certain that I gave all the info needed to solve this. Edit: Oh and Re f(z) >= 0

Sony really needs to stop with this bullshit PR.

Good point. I'm not very good with genres. I have like.. three. Short, long, and silly. Well, Zelda seems to be a point of contention when it comes to classification. There are a lot who categorize the series as an adventure RPG series. Not that it changes the awesomeness of Zelda.

I doubt anyone beats my music collection's size.

Background with music - I have played the violin for several years, as well as had some voice training/singing experience for several years. Style - I prefer the operatic style. Favorite types of music? Music that accomplishes its concept well, which generally is contemporary music, musicals, and metal for me. Favorite artists - Manowar & Angra & Ayreon.

You do not understand math then. Everything before the introduction of proofs is meant to prepare for actual mathematics - in otherwords, with proofs. So, if you know how to do proofs, would you care to share with us a proof of the Fundamental Theorem of Algebra? Would you like a purely algebraic proof, or would complex analysis be allowed. Because man, residues make that proof almost too easy (also, a good example of how complex analysis - in other words, "imaginary" numbers, are useful) Heh, that's why I said "a" proof. I do know of the complex analysis proof, as well as a proof by Galois Theory. Edit: Actually, the proof by complex analysis I know just quotes Rouche's Theorem.

You do not understand math then. Everything before the introduction of proofs is meant to prepare for actual mathematics - in otherwords, with proofs. So, if you know how to do proofs, would you care to share with us a proof of the Fundamental Theorem of Algebra?

http://www.ps3forums.com/showthread.php?t=33441 So, these e-distribution games look interesting.

Oh so there you foobs are. I gotta play you two sometime...Friday fine?

Well, if anything, their instrumental Moondance is to be loved (one of my friends hates Nightwish, but loves that particular instrumental - he doesn't like the vocals). Some of the lyrics do have some humor in them - there is one particular song that just makes me laugh when I hear it from their first album, and Tuomas has said that he wished he didn't write that song while drunk. A lot of their Oceanborn-Wishmaster era stuff is fantasy themed though. You may or may not like their more recent stuff since it takes the band in an operatic direction (lyrically as well), so intensity of dramatic situations is depicted strongly. This is a bit sidetracking though. So when does Phantom Hourglass come out anyone? (And Castlevania)

This is the same response i've seen from so many Nirvana fans. Well I dislike Nirvana. But why don't you go look up the lyrics most of their stuff? Most don't fall into your false stereotyping.

I used to like Nightwish back when i thought it was cool to pretend to be depressed. I see you still harbor a lack of understanding of the music & lyrics. It's ok, I'll let that flame attempt go by.

I won't hate an artist (unless they do some hypocritical or dirtbag things), but I don't have to like them. I wish more people took this viewpoint around here. There're too many OCRers (seems more prevalent in unmod) who will claim to hate an artist for no good reason.

We'll, it was mentioned in a comment in that GAF article. Looking on Wikipedia though, looks like that's wrong. Can't say I know much about the Japanese songs. I hadn't even heard of the game until this raging discussion came up here actually . I guess I will probably pick up the U. S. version then sometime in the future (i. e. when I have some free money). The U. S. version does seem to have some good stuff at least.

I don't like the Rolling Stones or Bowie either. However, the original Japanese game has some artists I do like some stuff of like Nightwish, Stratovarius, and Epica, so it'd be more towards my preference.