Search found 47 matches

by cpp789
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...
by cpp789
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 ...
by cpp789
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),...
by cpp789
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...
by cpp789
Thu May 27, 2010 10:21 pm UTC
Forum: General
Topic: Strange or even mildly amusing things about your body
Replies: 1607
Views: 191060

Re: Strange or even mildly amusing things about your body

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...
by cpp789
Mon May 24, 2010 4:01 am UTC
Forum: Individual XKCD Comic Threads
Topic: 0744: "Walkthrough"
Replies: 68
Views: 21983

Re: "Walkthrough discussion"

Ha! Spawn point... Just got that joke.
by cpp789
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.
by cpp789
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...
by cpp789
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.
by cpp789
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.
by cpp789
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).
by cpp789
Wed Mar 31, 2010 6:18 am UTC
Forum: Individual XKCD Comic Threads
Topic: 0721: "Flatland"
Replies: 125
Views: 50504

Re: "Flatland" Discussion

Wouldn't Braid still be 3D (including 2 spatial dimensions and 1 time dimension)?
by cpp789
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...
by cpp789
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.
by cpp789
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...
by cpp789
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...
by cpp789
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...
by cpp789
Mon Sep 28, 2009 4:05 am UTC
Forum: Individual XKCD Comic Threads
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.
by cpp789
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...
by cpp789
Mon Sep 14, 2009 11:54 am UTC
Forum: Individual XKCD Comic Threads
Topic: 0636: "Brontosaurus"
Replies: 85
Views: 23041

Re: "Brontosaurus" Discussion

Great comic!

Reminds me a lot of Bo Burnham's "Men & Women".
by cpp789
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.
by cpp789
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...
by cpp789
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)

Grrr! Stupid penumbra shading!

Maybe with a matrix inversion...
by cpp789
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 ...
by cpp789
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.
by cpp789
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"...
by cpp789
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.
by cpp789
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...
by cpp789
Wed Aug 05, 2009 4:12 am UTC
Forum: Books
Topic: Best Book Endings Thread [Spoilers obviously ahead]
Replies: 14
Views: 3168

Re: Best Book Endings Thread [Spoilers obviously ahead]

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.
by cpp789
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...
by cpp789
Wed Aug 05, 2009 3:39 am UTC
Forum: School
Topic: Your Schedule
Replies: 655
Views: 163520

Re: Your Schedule

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
by cpp789
Mon Aug 03, 2009 6:53 pm UTC
Forum: Serious Business
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...
by cpp789
Mon Aug 03, 2009 6:00 pm UTC
Forum: Serious Business
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...
by cpp789
Mon Aug 03, 2009 3:15 am UTC
Forum: Serious Business
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...
by cpp789
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!
by cpp789
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...
by cpp789
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...
by cpp789
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.
by cpp789
Sat Jun 27, 2009 12:05 am UTC
Forum: General
Topic: Explain your avatar!
Replies: 1628
Views: 151646

Re: Explain your avatar!

I was trying to make some bitmap interpolation program a few years back in C++. Something went horribly wrong. And now it's awesome. Somehow, it creates waves of color that leave a series of smaller waves of the same color behind them. The waves go from the top-left and bottom-right corners in the d...
by cpp789
Fri Jun 26, 2009 11:09 pm UTC
Forum: School
Topic: Class rank?
Replies: 113
Views: 11128

Re: Class rank?

I live in a community that puts a high value on intelligence. I'm in a public high school, but there's far more kids than average who get A's. Because of this, my school no longer gives out class ranks to students or colleges. Can't say I'm really disappointed though; it seems like it would be nothi...

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