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1h
comment Is there a finite initial generating set for ${\mathbb N}$ given these two operations?
From some numerical results, $x_j=1,3,9$ for $k=2$, $b=10$ looks promising.
2h
comment Sampling substrings of a beaded necklace to determine the necklace composition
But the positions of the $4$-bead sub-sequences that you see are uniformly random?
2h
comment Sampling substrings of a beaded necklace to determine the necklace composition
It depends on the colours of the beads and your prior expectations about them. Did you mean to imply that the necklace is random? If so, with which distribution? Uniform over all admissible necklaces?
11h
comment Taking limit inside integration
web.archive.org/web/20100817081111/http://math.la.asu.edu/~jss/…
11h
comment Derivative of Poisson that approximates Binomial
What are "matches" in this context? I think you should say a bit more about the scenario you're considering. Are you simply putting a large number $B$ of balls into a large number $U$ of urns, independently uniformly randomly choosing an urn for each ball?
17h
comment Number of “left-to-right” walks on a line graph
Note that you can rewrite this as $$ \sum_{i=0}^n(-1)^{i+1}\binom{n-i}ib_n(\ell-i)=0\;. $$
23h
comment Finding Maximum in a Set of Numbers
It's not clear to me what a mathematical way to solve this, in contrast to an algorithmic way to solve this, would mean. The algorithm is to go through the list, keeping a record of the two largest numbers you've seen so far, in each step comparing the next number with the lesser of the recorded numbers and replacing the latter if it's smaller.
23h
comment Finding Maximum in a Set of Numbers
This is an algorithmic question, not a mathematical question.
1d
comment Finding the Normalization constant for a wave function
This is a math site; you shouldn't assume any physics. If you're interested in the probability density $\left|\Psi\right|^2$ (as I'm guessing from the "wave function" in the title), you need to explain that. (Also note that if this is indeed what you mean, then $A$ is only defined up to a phase factor. Also, you need either negative $a$ or some spatial restrictions; otherwise the integral over all space will diverge.)
1d
comment count permutations that do not contain repeated combinations
This count may well depend on the order in which you traverse the permutations. To make the question well-defined, you need to do one of three things: a) Specify an order, b) prove that the result doesn't depend on the order, or c) ask for the minimum or maximum over all orders. From your last paragraph, I'd guess that what you're actually interested in is the maximum over all orders, i.e. the maximal size of a set of permutations that don't share any neighbour pairs?
1d
comment Select a random edge
What does it mean to provide a randomized algorithm for selecting an edge uniformly at random? Are there non-randomized algorithms that select edges at random?
1d
comment Difference between the “Hazard Rate” and the “Killing Function” of a diffusion model?
I personally don't mind if you cross-post (I think some others think differently), but I do think you should include a link to the other post so that people can easily check what progess has been made there without having to search for the question.
1d
comment How to calculate the odds of a 5x5 Bingo game?
Are you intentionally making the rules different from how Bingo is played? In real Bingo, numbers in the first column are in $[1,15]$, numbers in the second column in $[16,30]$ and so on; and the centre square is free, i.e. has no number and counts as filled. Also, by "across", do you mean both horizontal and vertical? It sounds like just horizontal to me. And how did you arrive at "$15$ times"? There are $5$ horizontal, $5$ vertical and $2$ diagonal Bingo opportunities, for a total of $12$.
1d
comment Generating a Random Connected Graph
Somewhat related: math.stackexchange.com/questions/584228.
1d
comment a conceptual question on markov chain
The counterexample given in the accepted answer to the duplicated question doesn't have state space $S$ for both Markov chains, but it can readily be adapted.
1d
comment Bungy Jump Model
See math.stackexchange.com/questions/1394989.
1d
comment Monty Hall problem again (from Grimmet and Stirzaker)
OK, sorry, for jumping to conclusions. Unfortunately the more common occurrence here is that problems regularly get misquoted. I'll make up for it by answering the question later today :-)
1d
comment Monty Hall problem again (from Grimmet and Stirzaker)
You misquoted the problem. Here's the correct problem. It says "Show that, given you see Bill, the probability is $1/(1+b)$".
1d
comment Under what conditions is integrating over a series expansion valid for an improper integral?
@shamovic: I think you're right, but how is that relevant? Those conditions are fulfilled here.
2d
comment Probability that distance of two random points within a sphere is less than a constant
@StevenGregory: I suspect you intended to ping bji74?