bio | website | |
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location | ||
age | ||
visits | member for | 3 years |
seen | Jan 5 at 9:12 | |
stats | profile views | 375 |
Jan 12 |
awarded | Popular Question |
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 |