## Search found 14 matches

Tue May 31, 2011 10:24 pm UTC
Forum: Mathematics
Topic: alternative mathematics
Replies: 128
Views: 15232

### Re: alternative mathematics

It seems like he's treating infinity as a natural number, which is not true under normal definitions. Then again, he hasn't given us any alternative definitions of a number. Assuming only his first axiom, MS.0, it would seem impossible for him to create anything as complex as the natural numbers. Wi...
Sat Apr 09, 2011 3:40 am UTC
Forum: Mathematics
Topic: 4+D rendering.
Replies: 19
Views: 3020

### Re: 4+D rendering.

Assuming that you're identifying all points with the same label (i.e. the final result has only 6 vertices), it seems like you want a 5-simplex, which is 5-dimensional.
Thu Jan 20, 2011 7:45 pm UTC
Forum: Mathematics
Topic: Compressing Pi
Replies: 17
Views: 2946

### Re: Compressing Pi

It could be that quintopia was looking for the quadratic to be very close to an integer rather than 0. Still, it would be a lot less messy to just let a,b,c range over the integers.
Mon Dec 20, 2010 2:22 am UTC
Forum: Mathematics
Topic: Why octal is better than decimal
Replies: 64
Views: 10603

### Re: Why octal is better than decimal

You also have to consider the divisors of the base plus one and the base minus one. That way, you can quickly check for divisibility by b+1 and b-1 like you do in base 10 for 9 and 11 (i.e. by looking at the sum and alternating sum of the digits).
Mon Sep 13, 2010 3:34 am UTC
Forum: Mathematics
Topic: Which is it? (straight line or circle through a portal?)
Replies: 33
Views: 4987

### Re: Which is it?

Let us define a line to be a curve with 0 curvature at every point. As we walk along the rope (with not necessarily parallel portals), we find that the rope never bends in reference to our path of travel. This being said, the world does rotate relative to our path, meaning that we have turned the wo...
Mon Sep 06, 2010 5:38 am UTC
Topic: 0789: "Showdown"
Replies: 46
Views: 13040

### Re: "Showdown" Discussion #789

Is it possible that the sun is directly overhead and the camera (or whatever we're looking through) has a very large and distorted field of view?
Fri Aug 13, 2010 6:33 am UTC
Forum: School
Replies: 655
Views: 163392

Junior year in high school. Hooray for stress!

Spanish IV
Physics
AP Chem
AP US History
Multivariable Calc/Linear Algebra (is this believable?)
English
Fri Aug 13, 2010 6:27 am UTC
Forum: Mathematics
Topic: Revised Simple Proof of Beal's Conjecture
Replies: 29
Views: 4208

### Re: Revised Simple Proof of Beal's Conjecture

It isn’t difficult to see that the 1st product + the 2nd product = the 3rd product if and only if the left hand side of the equation can be factorised, i.e. rewritten in the form P(Q + R) where P,Q and R are positive integers. It's only wrong in one direction. If a+b=c, then the left side can alway...
Wed Aug 04, 2010 9:16 pm UTC
Forum: Mathematics
Topic: 2D random walks
Replies: 3
Views: 1007

### Re: 2D random walks

I'm not quite sure about going from N to N^2 in the first problem. Looking at the two limiting cases (across a 45 degree diagonal and on an axis oriented line), if distance is N, then steps should be between N*sqrt(2) and N respectively, that is to say on the order of N, not N^2.
Sat Jul 31, 2010 5:42 am UTC
Forum: General
Replies: 57
Views: 12087

I constantly narrate my life. It's rare that there's a legitimate conversation going on up there, but thoughts and observations are always turned into complete sentences (in Morgan Freeman's voice if I'm lucky). When I'm bored I do occasionally create little snapshots of universes with new technolog...
Fri Jul 30, 2010 3:55 am UTC
Forum: General
Topic: Imagining Dying
Replies: 79
Views: 8913

### Re: Imagining Dying

As far as I understand it, there's nothing but violet light and a hum.

Source: Billy Pilgrim
Thu Jul 29, 2010 5:32 am UTC
Forum: Mathematics
Topic: Poll: How many square numbers do you know?
Replies: 36
Views: 4041

### Re: Poll: How many square numbers do you know?

Up to 33^2. For the past couple of months I've been factoring numbers in my head (3-digit numbers should only take a few seconds unless I'm having a bad day). Knowing the squares of primes is invaluable.
Tue Jul 27, 2010 6:48 pm UTC
Forum: Mathematics
Topic: To be, or not to be?
Replies: 27
Views: 3528

### Re: To be, or not to be?

I do prefer your form for its simplicity. As for your friend's it could be written as \left(\frac{1+\sqrt1}{2}\right)2b where sqrt(1) can take on the values of 1 and -1. That way the term on the left is either 1 or nought, producing 2b or 0(2b). You could instead write \xi 2b where xi repres...
Mon Jul 26, 2010 5:48 am UTC
Forum: Mathematics
Topic: Conditions for differentiability
Replies: 11
Views: 3836

### Re: Conditions for differentiability

Just as continuity is simplest when phrased as f(c)=\lim_{x\rightarrow c}f(x) differentiability is simplest when phrased using the existence of the limit which you mentioned. Beyond that, I can't think of any defining feature which applies to all non-differentiable points. jestingrab...