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 Yearling
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Jul
29
awarded  Yearling
Jul
26
comment Why the determinant of a matrix with the sum of each row's elements equal 0 is 0?
I don't understand how this answers the question. You seem to be interpreting OP's question to mean that there is a row of all 0s.
Jul
11
comment Balancing the weights of the vertices of a graph by averaging along the edges.
Are any nontrivial results known? Is it possible for the complete graph on 5 vertices? Where can I read about the 8-cycle problem?
Jul
11
comment Balancing the weights of the vertices of a graph by averaging along the edges.
I did a breadth-first search in Python. Starting with 0 on the vertices in the triangle and 1 on the remaining vertex, then an equillibrium is not reached within 26 moves (at which point 8 million inequivalent configurations had been reached). Worth noting: starting from the above configuration, the vertex which started at 1 will not remain as the node with the maximum value forever, which is what I based my proof strategies on.
Jul
7
comment Balancing the weights of the vertices of a graph by averaging along the edges.
Are there any examples of graphs with at least 3 vertices where it's known to be possible?
Jun
28
comment Can this expression be made true ? 2 _ _ _ _ = 2015
If a unary + symbol is allowed, then you can get up to $2\times+99=198$.
Jun
13
revised Images of a familiar object in $\mathbb{R}^3$ mapped to $\mathbb{R}^2$ by Cantor/Peano/Hilbert
added 297 characters in body
Jun
13
revised Images of a familiar object in $\mathbb{R}^3$ mapped to $\mathbb{R}^2$ by Cantor/Peano/Hilbert
added 691 characters in body
Jun
13
revised Images of a familiar object in $\mathbb{R}^3$ mapped to $\mathbb{R}^2$ by Cantor/Peano/Hilbert
deleted 10 characters in body
Jun
13
answered Images of a familiar object in $\mathbb{R}^3$ mapped to $\mathbb{R}^2$ by Cantor/Peano/Hilbert
May
11
comment ZELDA Guardian Puzzle Part II - Shortest Path (Unsolved for new rules)
Well this post doesn't contain a question and doesn't make sense unless you read the linked post. I'm guessing the votes to close are due to that. If the text from the previous question is edited in, I think all objections would disappear.
May
10
reviewed Approve Uniform convergence and maximum of an absolute difference
May
4
comment Brouwer's fixed point continuous function
For $C$, you can see math.stackexchange.com/questions/478517/… .
May
4
comment Brouwer's fixed point continuous function
For $A$, just map $(x_1,x_2)$ to $x_1$. Call the map $h:A\to [-1,1]$. You should be able to prove that if $f:A\to A$ has a fixed point, then $h\circ f\circ h^{-1}:[-1,1]\to[-1,1]$ has a fixed point, and vice versa.
May
4
answered Brouwer's fixed point continuous function
Apr
29
comment Meaning of “dS” in flux integrals?
It seems you are confused about $dS$, not $d\bf S$, is that right?
Apr
25
comment Twilight Zelda Guardian Puzzle : Shortest Path (UPDATE: ADDED RULES)
@LizWesley: Nice find! It remains to find out what happens if two guardians jump towards eachother when they are adjacent, or when a guardian and the player jump towards eachother when they are adjacent. A reasonable guess is that it works like it did when they had one square between them, like in the videos you linked.
Apr
22
comment Twilight Zelda Guardian Puzzle : Shortest Path (UPDATE: ADDED RULES)
Assumption 3 seems to disallow a two-man conga line, which I don't think should be illegal.
Apr
22
awarded  Pundit
Apr
22
comment Twilight Zelda Guardian Puzzle : Shortest Path (UPDATE: ADDED RULES)
How about we agree to say that any move that would have any of the guardians or the player collide or jump through each other is an illegal move? If someone else who has played the game and knows otherwise they may say so and we can change it.