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seen Apr 15 at 22:44

Apr
9
comment coin reversal puzzle with one hand and two stacks
@Zack In similar words, I want to reverse one LIFO queue (i.e., a stack) using two other LIFO queues, but the reversed data needs to be in the original LIFO queue and the other two queues cannot feed each other directly. I'll give mathematicians a chance first because I think this is quite difficult and perhaps no algorithm is even known.
Apr
9
revised coin reversal puzzle with one hand and two stacks
removed constraint on emptying hand since it was not needed
Apr
9
asked coin reversal puzzle with one hand and two stacks
Jan
20
awarded  Yearling
Jan
16
comment Consecutive Primes mod 3
@quid As Greg said there, that effect goes to zero for large primes, so it wouldn't apply here (I'm looking for effects that stay finite in the asymptotic limit).
Jan
16
comment Consecutive Primes mod 3
Just considering consecutive pairs, has anyone proven that there is no asymptotic correlation? For example, is it impossible to have "21" and "12" each occur with a 30% rate, and "11" and "22" each occur with a 20% rate?
Jan
16
comment Consecutive Primes mod 3
Is Shiu's result based on hypothesis or pure theory? I can't find the reference from Google and want to try to understand if this is proven with no assumptions.
Jan
16
comment Consecutive Primes mod 3
Interesting. Let's say the sequence is "1212222121221111122..." from which I naturally calculate a "predomination sequence", P, as "1111222222222222112...". I can't use your summation (since the starting prime is considered secret), but I suppose that I could calculate the average P and see that it is greater than, for example, 1.501, even as my starting secret prime goes to infinity. Of course, this is all based on hypotheses, so I wonder if someone has tried to measure this limit.
Jan
16
asked Consecutive Primes mod 3
Jan
15
accepted Joint Modular Distribution of Primes
Jan
15
comment Joint Modular Distribution of Primes
I really wanted to pose a question about the independence across consecutive primes too, but was vague...so, I'll mark your answer as correct and open a new question.
Jan
15
asked Joint Modular Distribution of Primes
Oct
1
awarded  Caucus
Aug
30
comment Solving a System of Quadratic Equations
I have 6/7 cases like the one I posted (but also set j=f=0 like I said in a different comment). Thanks for the continuing effort!
Aug
22
comment Solving a System of Quadratic Equations
Oh, I get it now and Mathematica then computes it quickly. Now that I think about things, I would prefer a minimal solution with j=0 and f=0 (or j=0 and i=0), but Mathematica can't compute this in reasonable time...do you see one? Sorry, I guess I underspecified by problem originally.
Aug
22
comment Solving a System of Quadratic Equations
I wasn't aware of the Groebner basis method. But, when I try this approach in Mathematica (version 6), the software is still thinking after hours, so it's been of no use to me. Are you using your own home-built software? I'll wait to close this question until others have had a chance to answer about minimization approaches, but I do believe your method is best in cases where a zero exists.
Aug
22
comment Solving a System of Quadratic Equations
Interesting idea, but I would guess any improvement from the convexity is more than offset by the increase in functional complexity (from the inverse matrix). Still, I hope you try my example (or a similar one with higher constants so that there is no zero and the problem is truly a minimization problem) and prove me wrong...please keep us posted.
Aug
21
comment Solving a System of Quadratic Equations
Real solutions only. @Dietrich Great, but are you able to find one solution from that basis in a reasonable time?
Aug
21
asked Solving a System of Quadratic Equations
Aug
18
comment Embedding of Two Objects Into Higher Dimensions With Their Sum
I agree. Though the simpler problem is NP-hard, it's still analytically solvable. This tougher problem, however, is forcing me into numerical solutions.