Search found 14 matches

by Luonnos
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...
by Luonnos
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.
by Luonnos
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.
by Luonnos
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).
by Luonnos
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...
by Luonnos
Mon Sep 06, 2010 5:38 am UTC
Forum: Individual XKCD Comic Threads
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?
by Luonnos
Fri Aug 13, 2010 6:33 am UTC
Forum: School
Topic: Your Schedule
Replies: 655
Views: 163392

Re: Your Schedule

Junior year in high school. Hooray for stress!

Spanish IV
Physics
AP Chem
AP US History
Multivariable Calc/Linear Algebra (is this believable?)
English
by Luonnos
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...
by Luonnos
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.
by Luonnos
Sat Jul 31, 2010 5:42 am UTC
Forum: General
Topic: Do you make up stories in your head?
Replies: 57
Views: 12087

Re: Do you make up stories in your head?

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...
by Luonnos
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
by Luonnos
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.
by Luonnos
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...
by Luonnos
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...

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