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2d
comment Coding for channels with concentrated error
Normally, there is some model for the noise, such as independent chances for flipping bits. Which model are you assuming that would produce that behavior?
Oct
15
comment What are some continued fractions for $2\pi$ and for $\dfrac{\pi}{2}$?
Each of these continued fractions can be modified to give continued fractions for $\pi/2$ and for $2\pi$. The results might not be as pleasing, though.
Oct
11
comment Noise reduction in capacity-0 channels
The statement "Obviously, this can't carry any information" is obviously false, and I would vote to close this question except that you can't vote to close questions with open bounties. This question is built on a basic error, and although the speculations about reducing the errors in channels with no information sound interesting, I don't see any meaning because of that error.
Oct
10
comment Zero's in the decimal representation of powers of 3
@James Cranch: The $5\times 10^{n-2}$ values hit mod $10^n$ are arbitrary initial sequences with one of the $500$ allowed final $4$ digits. Since $3^8 = 6561$, we can find a power of $3$ that ends in $1111...1116561$. For example, $3^{195508}$ ends in $...1116561.$
Oct
10
comment Zero's in the decimal representation of powers of 3
@James Cranch: The multiplicative order of $3$ mod $10^n$ is $5\times 10^{n-2}$ for $n \ge 4$. I think this means it would have to work by $n=4$ but it doesn't.
Oct
2
revised What is the (mixed strategies) equilibrium of this game?
Corrected the relationship with Blotto games.
Oct
2
comment What is the (mixed strategies) equilibrium of this game?
@RB: I had overlooked that part of the payoff function. What you have is not the same as a Blotto game, and perhaps you should not accept my answer.
Oct
2
comment what-if.xkcd.com: stabbing (simply connected) regions on the 2-sphere with few geodesics
I wonder whether there is a weight you can assign to each state so that the total weight of the set of states hit by any geodesic is less than $1/4$ of the total. Some other approaches correspond to particular sets of weights.
Oct
1
answered What is the (mixed strategies) equilibrium of this game?
Sep
30
awarded  Explainer
Sep
28
comment Simple yet interesting applications of Calculus or Linear Algebra to Economics
If you are specifically asking about applications of calculus and linear algebra, that's a fine question, but it's not about research level mathematics. You should ask on MSE or ask economists. Also, look up elasticity.
Sep
20
revised Square filling self avoiding walk
Trivial changes cutting excess words. Added image from linked web page. Replaced one tag.
Sep
20
comment Square filling self avoiding walk
I think it is a natural and surprisingly difficult question to determine whether a path in a grid can be extended to a Hamiltonian path, or in roughly how many ways. If I'm missing an easy way to solve the problem, please enlighten me. I voted to reopen this question.
Sep
20
comment Square filling self avoiding walk
I tried that generator for a grid size of 200, and saw some artifacts that I don't believe are general. I think the algorithm used does not choose a path that is close to random for large grids.
Sep
20
comment Square filling self avoiding walk
Choosing randomly among the directions which allow a Hamiltonian continuation is not the same thing as choosing uniformly from the Hamiltonian paths.
Sep
18
comment What are all positive integers n for which the congruence $a^{n+1} \equiv a (mod n)$ holds?
The third version didn't seem close to an improvement, so I rolled the question back to the second.
Sep
18
revised What are all positive integers n for which the congruence $a^{n+1} \equiv a (mod n)$ holds?
rolled back to a previous revision
Sep
17
comment Examples of intuition from fields other than Physics to solve math problems
@Yemon Choi: If someone applies ideas from biology, chemistry, economics, or linguistics to solve a problem in mathematics, must it be through something that would be called physical intuition?
Sep
16
comment Discrete Morse theory and chess
In what sense would critical points correspond to positions of interest?
Sep
14
revised Wrong asymptotics of OEIS A000607?
Typesetting. Included graph.