Search found 209 matches

by aguacate
Mon Apr 23, 2007 10:59 pm UTC
Forum: Logic Puzzles
Topic: math~ solution
Replies: 10
Views: 3967

math~ solution

Not sure if this is rigorous enough, but here goes: First off we need to look for integers greater than 1. This is because x = 1 ==> 1^y = y^1 ==> 1 = y ==> x = y which is not allowed. x^y = y^x <==> y*lnx = x*lny <==> y/lny = x/lnx (provided that lnx != 0, but this is only true if x = 1 and we don'...
by aguacate
Mon Apr 23, 2007 5:19 pm UTC
Forum: Logic Puzzles
Topic: Sudoku Cube
Replies: 20
Views: 8510

If you experiment with Rubik's cubes, you'll find that you can sometimes, but not always, solve them with different middle colors from their originals. In particular, you can do it with exactly half of the combinations; and they correspond to perturbing a corner piece an even number of turns away f...
by aguacate
Mon Apr 23, 2007 5:16 pm UTC
Forum: Logic Puzzles
Topic: Sudoku Cube
Replies: 20
Views: 8510

When solved, is each face the same pattern of numbers, or can they be different? The pattern can be different. The only requirement is that one of each number show up on each side. I suppose it's possible that there are multiple solutions, but I kind of doubt it. I could only find one. And by "...
by aguacate
Sat Apr 21, 2007 1:47 am UTC
Forum: Logic Puzzles
Topic: Sudoku Cube
Replies: 20
Views: 8510

Sudoku Cube

Similar to Sudoku the goal is to get each number from 1 to 9 on every face of the cube. The cube moves the same way that a rubik's cube does - in fact it is a rubik's cube, only with numbers instead of colors. Here are the sides: 1 3 9 5 6 7 7 4 3 8 3 7 1 4 4 5 9 2 9 3 4 9 1 6 4 9 6 6 2 4 6 7 2 6 5 ...
by aguacate
Fri Apr 13, 2007 4:24 pm UTC
Forum: School
Topic: What are the top universities for Mathematics
Replies: 54
Views: 9700

I've got about a year left in my undergrad studies, so I'm looking for grad school. I've heard about the caltech culture and from what I know, it sounds appealing. Although, I have to admit, I'm much more interested in pure math than I am applied math. Even though I switched to Math from Electrical ...
by aguacate
Thu Apr 12, 2007 10:21 pm UTC
Forum: School
Topic: What are the top universities for Mathematics
Replies: 54
Views: 9700

What are the top universities for Mathematics

I've seen colleges list their own ranking, but they fail to provide a source. I haven't been able to find a list of the top universities for just Mathematics (don't really care how good they are in any other degree). Always wanted to go to Caltech for grad school when I grad, but it's good to have o...
by aguacate
Thu Apr 12, 2007 10:15 pm UTC
Forum: General
Topic: INTRODUCTIONS THREAD
Replies: 3985
Views: 695341

I didnt think I had signed up but when I went to register I guess I already was...

Anyway, hey everyone.

[edit]: holy balls I've got 3 posts already
by aguacate
Fri Feb 16, 2007 11:25 pm UTC
Forum: Logic Puzzles
Topic: 3 Cans (Easy?)
Replies: 4
Views: 3164

[edit]: didnt see the solutions thread
by aguacate
Fri Feb 16, 2007 10:38 pm UTC
Forum: General
Topic: Chocolate! (no more confessions here...)
Replies: 298
Views: 41528

I picked up a 100% chocolate bar more than a month ago from World Market (they have good chocolates). I just finished it last week. At first I gave little pieces of it to me friends, then laughed as they tried to get the bitterness out of their mouth. Then little by little I started developing a tas...

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