Search found 782 matches

by MartianInvader
Tue Nov 04, 2008 5:35 am UTC
Forum: General
Topic: what time should we expect a result on tuesday?
Replies: 67
Views: 4894

Re: what time should we expect a result on tuesday?

I'd say it IS still possible for McCain to win. If he takes Ohio, Pennsylvania, and Florida, then the election is his. The machines in Florida already have reports of switching votes from Obama to McCain. Officials claim they need to be recalibrated, which would leave them pretty vulnerable to tampe...
by MartianInvader
Mon Nov 03, 2008 2:14 pm UTC
Forum: Serious Business
Topic: War-is it ever justified?
Replies: 127
Views: 8730

Re: War-is it ever justified?

There was an interesting blog post by Scott Adams on this subject recently that, summed up, said that Big War is a thing of the past after Iraq and Afghanistan as they have shown us the even "victory" is no longer economically viable. Countries quite simply can't afford to go to war while...
by MartianInvader
Wed Oct 29, 2008 11:51 pm UTC
Forum: News & Articles
Topic: "There must be violence against women"
Replies: 48
Views: 4190

Re: "There must be violence against women"

Also, do not make the mistake of thinking that because someone is begging, they are not committing crimes, or that because someone is not begging they are committing crimes. It's not a binary system. You seem to be making the assumption that because they are begging, they are comminting crimes, whi...
by MartianInvader
Wed Oct 29, 2008 12:53 pm UTC
Forum: Mathematics
Topic: Does this set exist?
Replies: 2
Views: 988

Re: Does this set exist?

Ah yes, of course. I probably should have been able to think of that. Thanks a bunch.
by MartianInvader
Wed Oct 29, 2008 12:46 am UTC
Forum: News & Articles
Topic: "There must be violence against women"
Replies: 48
Views: 4190

Re: "There must be violence against women"

Some human rights organizations recently have attacked violent acts against women, standing against any type of violence... If a daughter or sister makes a mistake – especially a moral one – that negatively affects the entire family and its reputation, what’s the solution by such organizations? Wow...
by MartianInvader
Wed Oct 29, 2008 12:05 am UTC
Forum: Mathematics
Topic: Does this set exist?
Replies: 2
Views: 988

Does this set exist?

A question for all the people who like set-theory: I was wondering if there exists (under ZFC) a set S with the following property: \forall A \in S, \{f | f:[0,1] \rightarrow A\} \in S That is, if A is an element of S, then the set of paths in A (the set of functions from the interval [0,1] into A) ...
by MartianInvader
Tue Oct 28, 2008 9:47 pm UTC
Forum: Mathematics
Topic: visible portion of a colored sphere
Replies: 10
Views: 1092

Re: visible portion of a colored sphere

Saying the answer is 50% is saying that you ALWAYS see 50% of each color. This is false, as looking dead-on at a blue section will cause more of that section to take up the circle. I believe the exact percentage will be something like \sqrt(2)/2. You can get this answer by noting that the radial lin...
by MartianInvader
Tue Oct 28, 2008 9:44 pm UTC
Forum: News & Articles
Topic: Syria
Replies: 85
Views: 6409

Re: Syria

What really pisses me off about this kind of operation, regardless of whether it fits your definition of "terrorism", is that it has the opposite effect of what was intended. I mean, even if the strike was perfect and all of the dead were terrorists, how many civilians saw the US fly into ...
by MartianInvader
Tue Oct 28, 2008 7:57 pm UTC
Forum: Logic Puzzles
Topic: Unusual Cake Slicing
Replies: 84
Views: 18685

Re: Unusual Cake Slicing

Ok, it's been a long time and no-one has gotten it. PaulT, do you know a solution? If so, perhaps it's time for a hint? This puzzle has been driving me crazy.
by MartianInvader
Tue Oct 28, 2008 2:42 am UTC
Forum: Mathematics
Topic: Topology?
Replies: 17
Views: 2396

Re: Topology?

The intro I like to talk about is gluing together edges of a square in order to make a sphere (all glued into a single point), a torus (opposite sides glued), a klein bottle (one pair of opposite sides glued with a flip), and real projective space (both opposite sides glued with flips).
by MartianInvader
Tue Oct 28, 2008 1:17 am UTC
Forum: News & Articles
Topic: U.S. Democratic Super Majority: Implications
Replies: 39
Views: 3160

Re: U.S. Democratic Super Majority: Implications

How are they not able to pass anything they want at all with a simple majority (51%) in both houses of Congress, though? Everybody's mentioned filibusters, but let's also remember the good ol' presidential veto. Doesn't that require 2/3 majority to overturn? And Bush has often flat-out stated "...
by MartianInvader
Mon Oct 27, 2008 1:03 am UTC
Forum: Mathematics
Topic: n-dimensional rotation matrix
Replies: 20
Views: 11153

Re: n-dimensional rotation matrix

So, just to make sure I'm understanding: If I have a set of points in the (n-1)-dimensional hyperplane plane through the origin given by x, and apply the rotation you have defined to them, their images will all be in the (n-1)-dimensional hyperplane through the origin defined by y? Yeah. You can se...
by MartianInvader
Sun Oct 26, 2008 7:05 pm UTC
Forum: Logic Puzzles
Topic: Unusual Cake Slicing
Replies: 84
Views: 18685

Re: Unusual Cake Slicing

Okay, so are you claiming this is a solution? I mean, if you slice the cake into two pieces and only one contains the center, then they're NOT congruent; this is easy to prove. I don't think you're allowed to cut up into lots of different pieces (since you did slice a couple of your congruent pieces...
by MartianInvader
Sun Oct 26, 2008 6:48 pm UTC
Forum: Mathematics
Topic: n-dimensional rotation matrix
Replies: 20
Views: 11153

Re: n-dimensional rotation matrix

To put it algorithmically, get an orthonormal basis for your vector space so that the first two basis vectors span the plane generated by your two normal vectors. Say your vectors are at angle \theta apart. Then write the 2-dimensional rotation-by-\theta matrix in the upper-left corner of your n-by-...
by MartianInvader
Sun Oct 26, 2008 6:14 pm UTC
Forum: News & Articles
Topic: The Completely Official Sarah Palin Thread
Replies: 408
Views: 28172

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

Hmm... Okay. There's something bothering me here. There's different standards being applied for what constitutes "sexist"... maybe not by the same person, but I thought it should be pointed out. The whole "bad mother" thing... this was being argued as sexist because one would nev...
by MartianInvader
Fri Oct 24, 2008 10:19 pm UTC
Forum: Logic Puzzles
Topic: Immortal monkey with a typewriter
Replies: 21
Views: 4740

Re: Immortal monkey with a typewriter

Yep, you're right, phlip. How about this? Let S_m be the number of sequences of length m so that no initial segment is repeated. Now we can obtain such a sequence of length m+1 by adding a new letter to such a sequence of length m. Then we have the following recurrence relations: If m is even, S_{m+...
by MartianInvader
Fri Oct 24, 2008 9:30 pm UTC
Forum: Mathematics
Topic: Infinite geometry, redundant concepts
Replies: 4
Views: 1319

Re: Infinite geometry, redundant concepts

http://en.wikipedia.org/wiki/Riemann_sphere I think you might enjoy reading that. The circles which pass through the "point at infinity" are exactly the lines in the standard complex plane. Mobius transformations also give a nice feel for the similarities between lines and "infinite ...
by MartianInvader
Fri Oct 24, 2008 2:08 am UTC
Forum: Logic Puzzles
Topic: Immortal monkey with a typewriter
Replies: 21
Views: 4740

Re: Immortal monkey with a typewriter

Isn't it as simple as (1/n) ^ x, where x ~ number of characters typed so far? Well, that's the chance of doing it on a certain step, but then you gotta sum it up. So you'd be looking at something like summing (1/n)^m from 1 to infinity, which would be 1/(n-1). Bu...
by MartianInvader
Fri Oct 24, 2008 2:01 am UTC
Forum: Mathematics
Topic: Advice on delta-epsilon proofs
Replies: 8
Views: 1849

Re: Advice on delta-epsilon proofs

That's a really nice development from the intuitive definition to the mathematical one.
by MartianInvader
Wed Oct 22, 2008 11:26 pm UTC
Forum: Logic Puzzles
Topic: Unusual Cake Slicing
Replies: 84
Views: 18685

Re: Unusual Cake Slicing

That proof strategy will probably work, though you have a few errors. You don't necessarily have a straight line to the center (maybe the pieces are all spiral-like), so you'll have to use a path. If you assume that all the "outer" edges correspond to each other, then you can assert that t...
by MartianInvader
Wed Oct 22, 2008 8:50 pm UTC
Forum: Mathematics
Topic: Questions about some weird intervals
Replies: 19
Views: 1883

Re: Questions about some weird intervals

I like to view things topologically, so I just use the word "closed interval" and forget about this "extended real line" nonsense.
by MartianInvader
Wed Oct 22, 2008 8:45 pm UTC
Forum: Mathematics
Topic: Little Challenge
Replies: 11
Views: 1571

Re: Little Challenge

Yeah, Token didn't subtract enough. I think we want {n \choose p}p^m - {n \choose p-1}(p-1)^m - {n \choose p-2}(p-2)^m - ... - {n \choose 1}(1)^m This might have some nice expression... I'm not sure. In the given case, that's the same as mine. I'm wrong because I missed some double counting, which ...
by MartianInvader
Wed Oct 22, 2008 8:38 pm UTC
Forum: News & Articles
Topic: Poor Joe. All he wanted was poopy pipes,
Replies: 132
Views: 7473

Re: Poor Joe. All he wanted was poopy pipes,

WOW, this thread has gotten real crazy real fast. I wanna join in! I can't believe nobody has responded to this little tidbit yet- The blame for high gas prices in Europe falls on the metric system. Our government adds maybe $1 in taxes to every gallon. Europe adds about $1 per litre. I think in Fra...
by MartianInvader
Wed Oct 22, 2008 5:14 pm UTC
Forum: News & Articles
Topic: You can't sue God..
Replies: 49
Views: 4732

Re: You can't sue God..

Man, reading that article just makes the lawsuit seem full of AWESOME. All the posts put in this thread talking about how this is wasting taxpayer money etc. are exactly the questions he was trying to get people to ask! If, as a result of this lawsuit, stricter measures get placed on what types of l...
by MartianInvader
Wed Oct 22, 2008 4:39 pm UTC
Forum: Mathematics
Topic: Little Challenge
Replies: 11
Views: 1571

Re: Little Challenge

Yeah, Token didn't subtract enough. I think we want

{n \choose p}p^m - {n \choose p-1}(p-1)^m - {n \choose p-2}(p-2)^m - ... - {n \choose 1}(1)^m

This might have some nice expression... I'm not sure.
by MartianInvader
Tue Oct 21, 2008 2:44 pm UTC
Forum: News & Articles
Topic: Obama cancels campaign events; grandma is dying
Replies: 44
Views: 5371

Re: Obama cancels campaign events; grandma is dying

Every time the McCain campaign has tried something like that, it's blown up in their face. I think they've learned their lesson by now.
by MartianInvader
Mon Oct 20, 2008 8:17 pm UTC
Forum: News & Articles
Topic: Makin' Diamonds
Replies: 25
Views: 2877

Re: Makin' Diamonds

If I recall correctly, diamonds are only expensive now because of hoarding from the diamond companies... artificial diamonds, while cool, aren't exactly necessary yet. Would artificial diamonds be cost effective if natural diamonds were priced normally? I think the point is the companies are drivin...
by MartianInvader
Fri Oct 17, 2008 5:17 pm UTC
Forum: News & Articles
Topic: Poor Joe. All he wanted was poopy pipes,
Replies: 132
Views: 7473

Re: Poor Joe. All he wanted was poopy pipes,

Belial wrote:The press's fabled "liberal bias" or "conservative bias" (depending on whom you ask) is extremely, ridiculously secondary to its laziness and sensationalism biases.


Oh man, I am so sigging that.
by MartianInvader
Thu Oct 16, 2008 5:13 pm UTC
Forum: News & Articles
Topic: Sarah Palin supporter wants to kill Obama
Replies: 107
Views: 7601

Re: Sarah Palin supporter wants to kill Obama

I don't think he's full of shit, but it's just not that surprising. I mean, if I was at a rally for a candidate I supported, and someone I knew in the crowd yelled something like that, I might not approve of it, but I certainly wouldn't give his name to the FBI, especially if I thought he wasn't ser...
by MartianInvader
Thu Oct 16, 2008 12:48 pm UTC
Forum: News & Articles
Topic: Another hexagonal vortex discovered on Saturn
Replies: 13
Views: 2058

Re: Another hexagonal vortex discovered on Saturn

Thanks for your input, weosdfl34! And thanks for those e-mails with the links to penis enlargement product sites! But seriously, we all know what this hexagon is. It's clearly some sort of underground alien complex, constructed by Saturnian life forms vastly different, and vastly superior to us. Our...
by MartianInvader
Wed Oct 15, 2008 11:04 pm UTC
Forum: News & Articles
Topic: Is it bad for a presidential candidate to be intelligent??
Replies: 63
Views: 5329

Re: Is it bad for a presidential candidate to be intelligent??

Aw c'mon, now you're splitting hairs. Your (22/7) question clearly was phrased to try to discredit his (GreaterSteven's) original point by making it sound nigh-impossible to accomplish; he responded to this point by citing an example where it had been done in less time with less resources. Now you'r...
by MartianInvader
Wed Oct 15, 2008 6:11 pm UTC
Forum: Mathematics
Topic: How important are the field/vector space axioms?
Replies: 6
Views: 1153

Re: How important are the field/vector space axioms?

I seem to recall that linear algebra works perfectly fine over division rings (i.e., fields without the communativity axiom for multiplication). So yeah, some of the axiomatic stuff is just thrown in there for comfort. But it probably wouldn't be a bad idea to just mentally note what axiom you're us...
by MartianInvader
Tue Oct 14, 2008 4:40 pm UTC
Forum: Mathematics
Topic: constant time fibonacci numbers?
Replies: 10
Views: 3254

Re: constant time fibonacci numbers?

Yup. That's also why I was careful to say "linear in the size of the input". The size of the input would be the number of bits used to store it.
by MartianInvader
Tue Oct 14, 2008 2:07 pm UTC
Forum: Mathematics
Topic: implicit differentiation
Replies: 14
Views: 1279

Re: implicit differentiation

Yeah, implicit and explicit differentiation are the same operation. The words "implicit" and "explicit" refer to what you're differentiating , not to how you're doing it. If you have a function defined explicitly, it means something like f(x) = x^3 +sin(x). A function defined imp...
by MartianInvader
Tue Oct 14, 2008 1:50 pm UTC
Forum: Mathematics
Topic: constant time fibonacci numbers?
Replies: 10
Views: 3254

Re: constant time fibonacci numbers?

But doesn't everything that uses arbitrarily large input take at least linear time in the size of the input? I mean, it takes that much time just to read in the data.
by MartianInvader
Tue Oct 14, 2008 1:30 am UTC
Forum: Mathematics
Topic: Implicit differentiation is a lie!
Replies: 39
Views: 4170

Re: Implicit differentiation is a lie!

The differentials dx and dy are smooth sections of the cotangent bundle of R 2 . In the case you have a function f: R -> R , the graph of f is a one-dimensional submanifold, and dx and dy restrict to smooth sections of the cotangent bundle of graph(f). They are (locally) related to each other by dy...
by MartianInvader
Sun Oct 12, 2008 3:14 pm UTC
Forum: Logic Puzzles
Topic: Mutual ignorance
Replies: 14
Views: 3089

Re: Mutual ignorance

I understand what the problem is intended to be (and I'm working on it), but you may want to alter its set-up a smidgen. As it is, there's no basis for saying "we'll never know them", since there's nothing keeping A from just telling B what the sum of the numbers are and B from telling A t...
by MartianInvader
Sun Oct 05, 2008 4:12 am UTC
Forum: Mathematics
Topic: Naughty Functions
Replies: 59
Views: 5574

Re: Naughty Functions

Even worse - The function which is zero for x \leq 0 and e^{-1/x} for x > 0 is continuous and differentiable, but isn't even equal to its Taylor expansion around zero (indeed, every derivative at zero is zero, so the Taylor expansion would be the zero polynomial). Also, plenty of functions are once-...
by MartianInvader
Thu Oct 02, 2008 11:43 pm UTC
Forum: Mathematics
Topic: One third Russian
Replies: 10
Views: 1324

Re: One third Russian

Sure! Your Russian-ness is just the average of the Russian-ness of all your ancestors at some fixed level (it's the average of your parents Russian-ness, which is the same as the average of your grandparents' Russian-ness, which is the same as the average of your great-grandparents Russian-ness, etc...
by MartianInvader
Thu Oct 02, 2008 11:24 pm UTC
Forum: Mathematics
Topic: Intersection of two spheres
Replies: 14
Views: 1982

Re: Intersection of two spheres

Indeed. I count that as "doing something tricky." I purposely used the word "typically" when I said you get a k+m-n sphere. How about I phrase it this way: The intersection is is a k+m-n sphere 100% of the time :D

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