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visits member for 2 years, 11 months
seen Dec 11 at 3:56

Nov
1
awarded  Popular Question
Jul
2
awarded  Curious
Jun
30
awarded  Popular Question
Apr
30
comment All Integers from the Smallest Digit Stream with a Window Filter
yes, you understand it correctly
Apr
29
comment All Integers from the Smallest Digit Stream with a Window Filter
I didn't know about DeBruijin. The answer is therefore yes, and, even more amazing, a contiguous window can always be used. So, that begs the question, can a stream be found for any given window? By your comment, I guess you extended my question to this already. Thanks.
Apr
29
comment All Integers from the Smallest Digit Stream with a Window Filter
This might be confusing because my digits in the example ranged from 1 to 3. It's more normal to use a range from 0 to 2, so subtract one from all digits if that makes it more intuitive.
Apr
29
asked All Integers from the Smallest Digit Stream with a Window Filter
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