## Search found 47 matches

Sat Jul 24, 2010 8:14 pm UTC
Forum: Mathematics
Topic: Intersection of Line Segments in a Circle
Replies: 32
Views: 4248

### Re: Intersection of Line Segments in a Circle

I wrote a short C++ program to try to get an estimate. It chooses coordinates randomly (and uniformly) in a unit square, then discards them if they are not inside of the incircle of the square. Line segment intersection is used. For coordinates by tenths (0,.1,.2,...,.9,1): probability of intersecti...
Tue Jun 22, 2010 11:49 pm UTC
Forum: Mathematics
Topic: A summer of math?
Replies: 24
Views: 3191

### Re: A summer of math?

It's just as my calc teacher said, math is like an hourglass. You begin with basic geometry, arithmetic, and prealgebra, working your way up the complexity scale to algebra and precalc. Grades K-12 all give you the backing you need to learn what is widely regarded as one of the hardest math courses ...
Wed Jun 16, 2010 4:26 am UTC
Forum: Mathematics
Topic: multivariate summation recurrence
Replies: 17
Views: 2412

### Re: multivariate summation recurrence

You can't possibly have a reason for a 9-dimensional recurrence relation using sums at this time of night. Regardless, I would be very, very surprised if it has an explicit representation. Might as well try, though. In the one dimensional case, we see that 2f(0)=1+f(0), so f(0)=1. 2f(1)=1+f(0)+f(1),...
Tue Jun 15, 2010 3:10 am UTC
Forum: School
Topic: How does one finish high school at 10?
Replies: 55
Views: 8842

### Re: How does one finish high school at 10?

A few years ago there was a child prodigy at my high school who "graduated" at around 12 years old. I say "graduated" in quotes because he did not really have enough credits to graduate (the board had to pass a resolution to allow him to move on), but any further study would have...
Thu May 27, 2010 10:21 pm UTC
Forum: General
Replies: 1607
Views: 191060

I can dislocate my left thumb, bend all of my fingers at the last joints, form the "live long and prosper salute" with both hands, and snap with my big toes. Also, I can wiggle my index fingers. This might not seem too hard, but I've only met one other person with this ability. Begin by in...
Mon May 24, 2010 4:01 am UTC
Topic: 0744: "Walkthrough"
Replies: 68
Views: 21983

### Re: "Walkthrough discussion"

Ha! Spawn point... Just got that joke.
Thu May 13, 2010 12:58 pm UTC
Forum: School
Topic: 2010 AP tests discussion thread!
Replies: 96
Views: 10940

### Re: 2010 AP tests discussion thread!

Ok, no AP tests today. School has been cancelled due to flooding.
Thu May 13, 2010 3:26 am UTC
Forum: School
Topic: 2010 AP tests discussion thread!
Replies: 96
Views: 10940

### Re: 2010 AP tests discussion thread!

Took BC already, very confident that I got a 5, I think I narrowly missed 100%. Macro and micro econ tomorrow, hoping for 5's, but not entirely sure. We have a notoriously tough teacher for econ who really over prepares us, and I'm pretty sure he's been lying to us about the raw percentage cutoffs f...
Mon Apr 26, 2010 1:45 am UTC
Forum: Mathematics
Topic: Square Circles
Replies: 10
Views: 1213

### Re: Square Circles

Using the Chebyshev distance, a shape with all points equidistant from a central point looks just like a square.
Sat Apr 24, 2010 6:06 pm UTC
Forum: Mathematics
Topic: Area Between 4 Circles
Replies: 7
Views: 2587

### Re: Area Between 4 Circles

Hmm. Reminds me of an ARML homework problem I have right now.
Mon Apr 05, 2010 1:33 pm UTC
Forum: General
Topic: Lucky Ten Thousand (TIL)
Replies: 13421
Views: 1748177

### Re: Today I Learned

TIL that spring break in my school district includes 10 days. One week (7 days) , one weekend (2 days), and the following Monday (i.e. today).
Wed Mar 31, 2010 6:18 am UTC
Topic: 0721: "Flatland"
Replies: 125
Views: 50504

### Re: "Flatland" Discussion

Wouldn't Braid still be 3D (including 2 spatial dimensions and 1 time dimension)?
Sun Mar 07, 2010 3:33 am UTC
Forum: Mathematics
Topic: how to approach a math competition
Replies: 9
Views: 1581

### Re: how to approach a math competition

Actually that "weird" thing works with all moduli, not just 7. It comes from the theory of congruences, which is a branch of number theory. I'm not sure of any good sources for learning that, but wikipedia is always a good place to start. Also, if you want to compete in math contests, chec...
Thu Feb 25, 2010 12:10 am UTC
Forum: Mathematics
Topic: AMC 10/12
Replies: 30
Views: 5123

### Re: AMC 10/12

Ha ha! I just received an email from my school saying that I qualified for the AIME. Apparently it was harder than usual this year. The AMC12 A cutoff score was 88.5 and the AMC10 A's was 118.5.
Tue Feb 16, 2010 5:34 am UTC
Forum: Mathematics
Topic: An interesting numeral system
Replies: 28
Views: 7921

### Re: An interesting numeral system

I remember reading about something like this before. Conway created a programming language called FRACTRAN that stored numbers using the exponents of their prime factorisations. It could be used to create algorithms for many common things (actually most things, since it's Turing complete). You might...
Sat Jan 23, 2010 2:58 am UTC
Forum: Science
Topic: A sliding and rolling cube
Replies: 20
Views: 2495

### Re: A sliding and rolling cube

Thanks, now I see when objects will begin to slide. But I'm still unsure of when they will begin to roll (if they aren't curved). Is it that they will roll if the center of gravity leaves the supported area under the shape before gravity becomes stronger than the static friction? This would make qui...
Fri Jan 22, 2010 11:46 pm UTC
Forum: Science
Topic: A sliding and rolling cube
Replies: 20
Views: 2495

### A sliding and rolling cube

I've been thinking about physics simulations recently, and I came across a problem that I can't figure out. Let's say that there is a square in 2 dimensions which is resting on top of a ramp (currently just a plane parallel to the ground). Gravity is pulling downwards and there is friction. If the r...
Mon Sep 28, 2009 4:05 am UTC
Topic: 0642: "Creepy"
Replies: 411
Views: 84966

### Re: "Creepy" Discussion

But this would never happen to me. I simply don't possess that cute, perfectly round, and expressionless face of the nameless main character.
Thu Sep 24, 2009 12:24 am UTC
Forum: Mathematics
Topic: Quintic equations
Replies: 14
Views: 1548

### Quintic equations

I'm slightly confused about the solutions to quintic equations (and above). Is it that there are no general methods for finding the roots using only radicals, multiplication, addition, and their inverses, or is it that there are no roots which are algebraic except in special cases? I've looked it up...
Mon Sep 14, 2009 11:54 am UTC
Topic: 0636: "Brontosaurus"
Replies: 85
Views: 23041

### Re: "Brontosaurus" Discussion

Great comic!

Reminds me a lot of Bo Burnham's "Men & Women".
Mon Sep 14, 2009 2:50 am UTC
Forum: Mathematics
Topic: A friend needs math help... Algrbra for Calc
Replies: 3
Views: 782

### Re: A friend needs math help... Algrbra for Calc

I can verify that that answer is correct. It's just a bit of algebra.
Fri Sep 11, 2009 2:35 am UTC
Forum: Mathematics
Topic: Help with odd perfect numbers subproof
Replies: 2
Views: 1377

### Help with odd perfect numbers subproof

I've been looking at odd perfect numbers recently, and I think I'm on a good track for disproving their existence (maybe, if I was smarter). I started with Euler's 4n+1 form and created a Diophantine polynomial (1-m)p^(a+1)-p^a+m=0 with a bunch of conditions on it. Anyways, I'm stuck on a subproof w...
Wed Sep 02, 2009 11:07 pm UTC
Forum: General
Topic: Hifaleetin' thoughts
Replies: 90216
Views: 9230370

### Re: Fleeting/Random/Thoughts (Random like the plague)

Maybe with a matrix inversion...
Tue Aug 25, 2009 5:43 am UTC
Forum: Computer Science
Topic: Down the Tubes: Making an analog/hybrid computer
Replies: 18
Views: 2059

### Re: Down the Tubes: Making an analog/hybrid computer

Firstly, why make it hybrid with lasers and digital tones? Why not just set up bells at the ends of some of the tubes? If you were just using mechanical Boolean logic, it would definitely be Turing complete. The main problems with this that I can see are its size and the fact that you would have to ...
Sat Aug 22, 2009 4:42 am UTC
Forum: Mathematics
Topic: Solve for x.
Replies: 15
Views: 2944

### Re: Solve for x.

Before we can solve this (which I suspect that no one can, and you just made this up to see how we would react), we have to know what the && means and where the ! is supposed to go.
Mon Aug 10, 2009 2:21 am UTC
Forum: Language/Linguistics
Topic: expressions/turns of phrase tha you love . . . share the joy
Replies: 52
Views: 7199

### Re: expressions/turns of phrase tha you love . . . share the joy

I had an Israeli programming teacher a while ago. He didn't know English that well (he taught us C++, we taught him English) so he would occassionally yell at us in Yiddish. My favorite of these outbursts was something to the effect of "there are no arguments in matters of taste and smell"...
Wed Aug 05, 2009 4:28 am UTC
Forum: Forum Games
Topic: What is in Your Clipboard?
Replies: 3688
Views: 625523

### Re: What is in Your Clipboard?

so just before my mom came in, the butter finally melted, and we just sat there laughing

...it's a long story.
Wed Aug 05, 2009 4:24 am UTC
Forum: Forum Games
Topic: Maximize the post:views ratio! (if you look, you must post)
Replies: 36938
Views: 2429213

### Re: Maximize the post:views ratio! (if you look, you must post)

So...

Some weather we've been having, huh?

Right...
Wed Aug 05, 2009 4:12 am UTC
Forum: Books
Replies: 14
Views: 3168

I shouldn't have to mention A Tale of Two Cities, but I think I will anyways.

Also, A Series of Unfortunate Events: The End. Maybe not one of the best book endings, and admittedly predictable, but it did manage to wrap up a 13 book series in the very last word.
Wed Aug 05, 2009 3:55 am UTC
Forum: Movies and TV Shows
Topic: Brüno
Replies: 17
Views: 2709

### Re: Brüno

I didn't really like it. Some parts were funny, especially the scenes with the child stars, but for the most part it was way over the top. Something might have been ruining my experience with it though... On a very related note, if you're too young to see it without an adult, get a friend's parent t...
Wed Aug 05, 2009 3:39 am UTC
Forum: School
Replies: 655
Views: 163520

Next year as a sophomore in high school, I have a pretty mundane schedule:

Honors Sophomore English
AP Calculus BC
AP Economics
AP Chemistry
Honors Spanish III
Graphic Design
Mon Aug 03, 2009 6:53 pm UTC
Topic: Making war more Humane; does it do more harm than good?
Replies: 32
Views: 4162

### Re: Making war more Humane; does it do more harm than good?

Personally, I am surprised and ashamed that no one has mentioned Star Trek yet. I'd like to direct you to episode #23, A Taste of Armageddon, in which two planets fighting a virtual and theoretically humane war are locked in endless combat. Civilians die (there are no armies), but the missiles are c...
Mon Aug 03, 2009 6:00 pm UTC
Topic: Human emulator and ethics?
Replies: 102
Views: 8086

### Re: Human emulator and ethics?

Perhaps we could even heal them, seeing as the second law of thermodynamics isn't strictly enforced on them. You speak nonsense. The second law of thermodynamics doesn't state "biological creatures cannot be healed". Don't quote me on that but it's not in my physics book. Maybe the 2nd La...
Mon Aug 03, 2009 3:15 am UTC
Topic: Human emulator and ethics?
Replies: 102
Views: 8086

### Re: Human emulator and ethics?

It is an interesting question and one for which we will probably have to decide on an answer (in a couple thousand years). My view is, if we can get them to want to be experimented on, there's no problem. First, I would say that an exact enough simulation would count as human. I've read the followin...
Tue Jul 07, 2009 8:10 pm UTC
Forum: General
Topic: Proud To Be Miss Cellanean!
Replies: 300
Views: 38951

### Re: Proud To Be Miss Cellanean!

I live in the birthplace of Kitty Pryde. Top that!
Tue Jul 07, 2009 7:25 pm UTC
Forum: School
Topic: Internet Censorship & Freedom of Speech
Replies: 31
Views: 3852

### Re: Internet Censorship & Freedom of Speech

My school uses SmartFilter, which happens to be one of the more popular and aggressive filters used by schools. I can understand blocking pornography and games at school, but most of the stuff that ends up being blocked is just ridiculous. For instance, blocking information on drugs (used for biolog...
Sun Jul 05, 2009 2:49 pm UTC
Forum: Computer Science
Topic: Artificial intelligence - Does boolean technology fail?
Replies: 130
Views: 15147

### Re: Artificial intelligence - Does boolean technology fail?

It seems to me that it would not be the boolean technology to fail, but the basic architecture of a computer. Most (most!) computer programs are built as nothing more than a series of intstructions to be run through a powerful calculator. The brain, on the other hand, is a huge amount of rather stup...
Sat Jun 27, 2009 2:27 am UTC
Forum: School
Topic: ACT scores
Replies: 81
Views: 10867

### Re: ACT scores

Isotope_238 wrote:You got a 31 in 7th grade? Holy crap. *feels an inferiority complex coming on* I got a 27.

Seriously, though, that's amazing. Did you ever retake it?

Thanks. No, I haven't retaken it. I am going to be a sophomore next year though, so I'll probably take it again soon.
Sat Jun 27, 2009 12:05 am UTC
Forum: General
Replies: 1628
Views: 151646