## Search found 508 matches

Fri Apr 17, 2009 2:00 pm UTC
Forum: Mathematics
Topic: what is the name of this complex analysis theorem?
Replies: 2
Views: 859

### Re: what is the name of this complex analysis theorem?

You mean that [imath]f[/imath] is continuous on all of [imath]\mathbb{C}[/imath], right? As I recall, this is an unnamed result that uses Morera's Theorem in its proof, but I don't remember the proof exactly and wouldn't swear to the accuracy of my claim.
Tue Dec 16, 2008 6:01 am UTC
Forum: Mathematics
Topic: Subsets vs Proper Subsets
Replies: 16
Views: 3624

### Re: Subsets vs Proper Subsets

After taking Manifolds, my new favorite is "manifold" vs. "manifold with boundary." A manifold is always a manifold with boundary, even if it has no boundary (by which I mean its boundary is the empty set). A manifold with boundary is not necessarily a manifold. Wheee!
Mon Dec 15, 2008 6:58 pm UTC
Forum: Mathematics
Topic: Negative Numbers Raised to Irrational Exponents
Replies: 20
Views: 9439

### Re: Negative Numbers Raised to Irrational Exponents

In general, z a is defined to be exp(a*log(z)), where log is the natural log. Within this context, you can safely assume that log(-1)=pi*i, so using log simplification rules, it comes down to taking the exp() of a complex number. In general, exp(a+bi)=exp(a)*cos(b)+i*exp(a)*sin(b). So there. EDIT: B...
Mon Dec 01, 2008 10:28 pm UTC
Forum: Science
Topic: Standard units in America?
Replies: 136
Views: 11969

### Re: Standard units in America?

I've seen acceleration measured in ft/s 2 tons (lol) of times. They use it in engineering. They often use BTUs, hp, bbls, bpd, gpm, SCFD, etc. It's dumb from a scientific perspective, but as they've said it's expensive to switch, and it has the side benefit of teaching you to think of things as quan...
Mon Dec 01, 2008 5:44 pm UTC
Forum: Science
Topic: Effectiveness of lower D. analogies to explain Higher D.s
Replies: 3
Views: 911

### Re: Effectiveness of lower D. analogies to explain Higher D.s

Except for methods accessible only to the most creative imaginers (not me), lower-dimensional analogies are often the ONLY way to visualize what's going on in higher dimensions. There's no harm in using imperfect analogies as long as you remain aware of where they break down. Also, even if time does...
Fri Nov 14, 2008 8:39 pm UTC
Forum: Mathematics
Topic: Fractals!
Replies: 3
Views: 907

### Re: Fractals!

As far as "neat things" go, I don't know too many, but some things might be noteworthy to a mathematically-inclined person. I didn't study fractals too extensively, but here are some things along the lines of an "intro to fractals concepts" that seemed a bit counter-intuitive at ...
Fri Nov 14, 2008 5:18 pm UTC
Forum: Mathematics
Topic: Which is bigger?
Replies: 35
Views: 3610

### Re: Which is bigger?

G googolplex is really not much bigger than G. I'd sure take G googolplex /G dollars as a living wage. I'd take that many attopennies. For my whole life. Even if I had G kids to feed. Even if I were responsible for the U.S. national debt (OOH ZING). You took it in attopennies!? You irresponsible fo...
Thu Nov 13, 2008 1:27 am UTC
Forum: Mathematics
Topic: Which is bigger?
Replies: 35
Views: 3610

### Re: Which is bigger?

skeptical scientist wrote:Ggoogolplex is really not much bigger than G.

I'd sure take Ggoogolplex/G dollars as a living wage. I'd take that many attopennies. For my whole life. Even if I had G kids to feed. Even if I were responsible for the U.S. national debt (OOH ZING).
Tue Nov 11, 2008 5:17 pm UTC
Forum: News & Articles
Topic: Another amusing "A" test
Replies: 24
Views: 4320

### Re: Another amusing "A" test

I don't think I lost points for it, but I got a kind of irritated remark on it - 'That's a very extreme example!' - when in my Educational Science 101 test I used Brave New World as source for an example of classical contitioning, adding "(stolen from Aldous Huxley)". Apparently she didn'...
Mon Nov 10, 2008 11:00 pm UTC
Forum: News & Articles
Topic: Ladies and gentlemen, we have a winner
Replies: 327
Views: 27588

### Re: Ladies and gentlemen, we have a winner

It's winner-take-all that protects the Electoral College from being a complete disaster. I don't see how. Proportional distribution would make it closer to the popular vote, and would maintain the existing slight advantage to smaller states, which is good because it keeps campaigns from focusing so...
Mon Nov 10, 2008 10:51 pm UTC
Forum: News & Articles
Topic: Arnold trying to terminate Proposition 8?
Replies: 77
Views: 8523

### Re: Arnold trying to terminate Proposition 8?

There is absolutely nothing wrong with courts overturning a majority vote by the people. The law is not intended to be interpreted by a popular majority. We are a democracy, of course: there are ways that the populace can change the law, but if it wants to contradict existing principles within natio...
Mon Nov 10, 2008 6:05 am UTC
Forum: News & Articles
Topic: Ladies and gentlemen, we have a winner
Replies: 327
Views: 27588

### Re: Ladies and gentlemen, we have a winner

Where were all you secessionists BEFORE we elected a good president?
Sun Nov 09, 2008 9:29 pm UTC
Forum: News & Articles
Topic: Another amusing "A" test
Replies: 24
Views: 4320

### Re: Another amusing "A" test

I was once grading a problem where you had to maximize the area in which to fence your goats (no, not as in swordfighting), given a length of fence and something about the geometry. A student drew an elephant and said that an elephant was attracted by some flowers and destroyed the fence to reach th...
Sat Nov 08, 2008 6:13 pm UTC
Forum: News & Articles
Topic: Ladies and gentlemen, we have a winner
Replies: 327
Views: 27588

### Re: Ladies and gentlemen, we have a winner

I've been thinking about this electoral college system, and obviously it's a pretty bad system as it stands now. As some have said, a flat-out popular vote system has its problems, as well. Why not give equal weight to both systems? With the electoral college alone, campaigns care only about "s...
Fri Nov 07, 2008 5:31 am UTC
Forum: News & Articles
Topic: Yes We STILL Can: Change.gov
Replies: 34
Views: 3823

### Yes We STILL Can: Change.gov

The president-elect has a new website: http://www.change.gov/ It's pretty similar to Obama's campaign website, but it has a place where you can "share your vision" with the new administration-in-waiting: http://change.gov/page/s/yourvision This feature lets you send a message to the Presid...
Thu Nov 06, 2008 4:42 am UTC
Forum: News & Articles
Topic: California proposition 8 is very close
Replies: 222
Views: 15725

### Re: California proposition 8 is very close

And you think those zealots are any less passionate than you? Equal passion shouldn't give them equal esteem on the issue. A bigot can be just as passionate as the person he's discriminating against, but in general the bigot is wrong for discriminating and the victim is right to be angry. It's way ...
Thu Nov 06, 2008 3:36 am UTC
Forum: News & Articles
Topic: California proposition 8 is very close
Replies: 222
Views: 15725

### Re: California proposition 8 is very close

I have to admit, though, my biggest surprise is from the technical aspects of this. Seriously, California's constitution can be amended with a simple majority of voters? To amend the U.S. constitution, you have to have a 3/4 majority in 3/4 of the state legislatures, or something (too lazy to look i...
Thu Nov 06, 2008 3:28 am UTC
Forum: News & Articles
Topic: Ladies and gentlemen, we have a winner
Replies: 327
Views: 27588

### Re: Ladies and gentlemen, we have a winner

cerbie wrote:so it matters for more than just being C&C and treaty signer

Assuming that you're abbreviating "Commander & Chief," it's actually commander-in-chief.
Wed Nov 05, 2008 7:11 pm UTC
Forum: News & Articles
Topic: U.S. Democratic Super Majority: Implications
Replies: 39
Views: 3548

### Re: U.S. Democratic Super Majority: Implications

It will not be 58, it will be 56... WITH Lieberman. Georga, Minnesota, Alaska, and Oregon senate seats were all successfully defended by their republican incumbents. Not sure how credible the source is, but it looks like some of that is still up in the air: http://www.allheadlinenews.com/articles/7...
Wed Nov 05, 2008 5:59 pm UTC
Forum: News & Articles
Topic: Ladies and gentlemen, we have a winner
Replies: 327
Views: 27588

### Re: Ladies and gentlemen, we have a winner

though democrats are historically more hawkish than republicans Well, the Democrats do have two World Wars weighing down their side, and to be fair, that was your fault. [Please note that when an American says "you" to a non-American, he generally means "you and the rest of the non-A...
Wed Nov 05, 2008 5:53 pm UTC
Forum: News & Articles
Topic: California proposition 8 is very close
Replies: 222
Views: 15725

### Re: California proposition 8 is very close

Goddammit, California. First you rescue Republicanism with Reagan, and now this? We're starting to regret ever having stolen you from Mexico.
Wed Nov 05, 2008 7:51 am UTC
Forum: News & Articles
Topic: Ladies and gentlemen, we have a winner
Replies: 327
Views: 27588

### Re: Ladies and gentlemen, we have a winner

Regarding the "calling" of states and whatnot, it's my understanding that the 2000 election was responsible for making the networks paranoid about calling results before polls close (since that could arguably discourage would-be voters from participating if they think that their state has ...
Mon Nov 03, 2008 9:57 pm UTC
Forum: Science
Topic: You might be a physics major if...
Replies: 540
Views: 63491

### Re: You might be a physics major if...

Not a physics major, but I studied math and engineering. A recent physics conversation with my then-five-year-old nephew went as follows: Nephew: What do you want to be when you grow up? Woxor: Well, I think I'm going to be an engineer. N: What's that? W: Well, you use science to design things. You ...
Mon Nov 03, 2008 7:10 pm UTC
Forum: Mathematics
Topic: That feeling you get...
Replies: 31
Views: 3678

### Re: That feeling you get...

Yeah, that's a good feeling. Solving such a problem in your sleep right before you wake up is also cool, if a tad rare (but it happens!).
Mon Nov 03, 2008 6:17 am UTC
Forum: Mathematics
Topic: How to state continuity for some odd functions
Replies: 12
Views: 1663

### Re: How to state continuity for some odd functions

Blatm wrote:f(x) - g(x) is continuous wherever both f(x) and g(x) are.

To be as clear as possible, if f and g are continuous, then so is f-g. The converse is false, e.g., let f=g=any non-continuous function.
Fri Aug 29, 2008 10:40 pm UTC
Forum: News & Articles
Topic: The Completely Official Sarah Palin Thread
Replies: 408
Views: 31863

### Re: John McCain's VP pick is Gov. Sarah Palin of Alaska

Obama has been more than clear on raising taxes. 95% of Americans he will lower taxes. top 5% raise. If he actually does that is one thing, but he has stated it and made it perfectly clear what the "plan" is. I've heard he's going to roll 300000000d20, and all the "1"s will be t...
Fri Aug 29, 2008 6:58 pm UTC
Forum: News & Articles
Topic: Veep Speculation *UPDATE* McCain picks Tina Fey.
Replies: 116
Views: 10747

### Re: Veep Speculation *UPDATE* McCain picks Tina Fey.

Fri Aug 29, 2008 5:19 pm UTC
Forum: News & Articles
Topic: Veep Speculation *UPDATE* McCain picks Tina Fey.
Replies: 116
Views: 10747

### Re: Veep Speculation *UPDATE* McCain picks Tina Fey.

Bakemaster wrote:Sure he will. He's the head of the ticket, and she's the second string.

You're right; I suppose I meant "only," not "greatest."
Fri Aug 29, 2008 3:41 pm UTC
Forum: News & Articles
Topic: Veep Speculation *UPDATE* McCain picks Tina Fey.
Replies: 116
Views: 10747

### Re: Veep Speculation *UPDATE* McCain picks Tina Fey.

http://www.cnn.com/2008/POLITICS/08/29/palin.republican.vp.candidate/ So, it was a good call on McCain picking a woman, but shit! I didn't expect him to pick a 44-year-old from Alaska. Good news for Obama, IMO, since the "experience" thing is no longer an issue, and this pick is going to l...
Fri Aug 22, 2008 9:35 pm UTC
Forum: News & Articles
Topic: Veep Speculation *UPDATE* McCain picks Tina Fey.
Replies: 116
Views: 10747

### Veep Speculation *UPDATE* McCain picks Tina Fey.

BREAKING NEWS!!!! There is no news. BUT WE HAVE TO COVER THE ELECTION SO BAD THE OLYMPICS WON'T LAST FOREVER OH MY GOD PLEASE HELP http://www.kansascity.com/445/story/759699.html http://www.latimes.com/news/politics/la-na-campaign23-2008aug23,0,3720679.story http://voices.kansascity.com/node/1888\ S...
Fri Aug 22, 2008 1:50 am UTC
Forum: News & Articles
Topic: speling iz knot umportint rite!
Replies: 91
Views: 8789

### Re: speling iz knot umportint rite!

Singular names for a group of people are plural in British English, but generally singular in American English. Pink Floyd are versus Pink Floyd is, for example. I did not know this! I've always thought the plural makes more grammatical sense but sounds very stilted (I'm a Brit, so that could expla...
Thu Aug 21, 2008 3:06 pm UTC
Forum: News & Articles
Topic: speling iz knot umportint rite!
Replies: 91
Views: 8789

### Re: speling iz knot umportint rite!

I think the confusion is just in how you say it. My take is that x^{1/2} is not "multi-valued" but "ambiguous unless you pick a branch." Meh. Also, even though \sqrt{x} is conventionally unambiguous on the positive reals, that notation is unashamedly used in the complex plane, e....
Thu Aug 21, 2008 5:42 am UTC
Forum: Mathematics
Topic: Stupid Math Teachers?
Replies: 135
Views: 33454

### Re: Stupid Math Teachers?

she docked a mark when I converted a proportion like 0.6 to a percentage like 60% without explaining that I was "multiplying the proportion by 100%". GOD that drove me nuts in high school. What does "per cent" mean? "Per hundred," as in, "divided by 100." Fuc...
Thu Aug 21, 2008 5:34 am UTC
Forum: News & Articles
Topic: speling iz knot umportint rite!
Replies: 91
Views: 8789

### Re: speling iz knot umportint rite!

Also, I think they're typically considered *not* to mean precisely the same thing, as the first expression is single-valued while the second isn't. Really? I've never heard that before. I would agree the the first is always the "positive square root" (of a real number), whereas the second...
Wed Aug 20, 2008 10:06 pm UTC
Forum: News & Articles
Topic: Australian School to Redefine "cheating"
Replies: 54
Views: 4665

### Re: Australian School to Redefine "cheating"

Will wrote:an engineer passes their license exam

Also, those are mostly open-book, if I'm not mistaken.
Wed Aug 20, 2008 3:01 pm UTC
Forum: Mathematics
Topic: Probability of probability
Replies: 24
Views: 2577

### Re: Probability of probability

Not really. Suppose your assumption were, "every bag has 25 black balls and 25 white balls." Then the answer is clearly no. Heh, yeah, I guess you're right. I wonder if my assertion could be amended in some way. What kind of assumption, in general, would guarantee that the answer is yes? ...
Wed Aug 20, 2008 2:53 pm UTC
Forum: News & Articles
Topic: speling iz knot umportint rite!
Replies: 91
Views: 8789

### Re: speling iz knot umportint rite!

Kinda... not. Math was fixed about 100 years ago. And there's an important difference between maths and language: Math has to be correct. Language has to be easily understood. I'd argue that the goal of both is communication. There is a substantial advantage for both to be consistent, which is why ...
Wed Aug 20, 2008 4:09 am UTC
Forum: General
Topic: High and low point of your day
Replies: 3315
Views: 249820

### Re: High and low point of your day

High Point: Finishing Zen and the Art of Motorcycle Maintenance. Awesome book.

Wed Aug 20, 2008 4:01 am UTC
Forum: Mathematics
Topic: Airplane seats problem.
Replies: 29
Views: 6460

### Re: Airplane seats problem.

There are two possible events: Zak sitting in his proper seat, and Zak not sitting in his proper seat. Therefore the probability is 1/2.

Wed Aug 20, 2008 3:55 am UTC
Forum: Mathematics
Topic: Probability of probability
Replies: 24
Views: 2577

### Re: Probability of probability

Nuh uh! I specified earlier in my post that I assumed that each ball had a 50/50 chance of being white or black. The statement you quoted is just me saying that again (essentially) for double clarity. Sorry that that's me simplifying things rather than being realistic :D But yeah, if you have an un...