what is The problem of the drunkard in a valley?

Let’s learn what is The problem of the drunkard in a valley. The most accurate or helpful solution is served by Mathematics.

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The problem of the drunkard in a valley.

We consider a Markov chain on a subset of positive integers $S =$ {$0, 1, 2, 3, .......N$}, with transition probabilities defined as follows: The chain jumps only one unit to the left or right. $p(i, j) = 0$ if $|i - j|>1$ $p(i, i + 1) = (N - i) /N$ , for $i$ in {$1, 2, 3, ....., N-1$}. $p(i, i - 1) = i/N$ , for $i$ in {$1, 2, 3, ....., N-1$}. We assume that we have absorbing barriers at $0$ and $N$, so we have $p(0, 0) = p(N, N) = 1$. What is the expected time it takes for the chain to...

Answer:

If we make the boundaries at $0$ and $N$ reflecting, rather than absorbing, then your random walk is...

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Cristian Dumitrescu at Mathematics Mark as irrelevant Undo

Other solutions

Do Silicon Valley companies, large or small, have an age discrimination problem?

I came across a series of articles on this topic recently: Silicon Valley’s Youth Problem What it Feels Like to Be Washed Up at 35 Silicon Valley's Age Problem I've never worked in tech or startups, so I'm genuinely curious:  do Silicon...

Answer:

It does exist at some companies, just like there's still racism, sexism, etc. While I was at Google...

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Joel Johnson at Quora Mark as irrelevant Undo

What does Silicon Valley think of the NY Times article "Silicon Valley's Youth Problem"?

See NY Times article here: Silicon Valley’s Youth ProblemNoticed that the NY Times quoted the Quora question: What do people in Silicon Valley plan to do once they are over 35?The author is female.

Answer:

Hmm...let's see... Successful "Unsexy" (as defined by the author) companies founded recently...

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Anonymous at Quora Mark as irrelevant Undo

Why is so much of Silicon Valley obsessed with small ideas that don't solve a problem?

The world does not need another mobile photosharing app or SMS-based event planning system.  The truth is that it's not that hard to get into commercialization of more complex technology if you're willing to invest time and energy into getting the background...

Answer:

Marc Canter is very close, not surprising given his long history of seeing how this world works. The...

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Bob Warfield at Quora Mark as irrelevant Undo

How much of a problem would it be dealing with investors to have a Silicon Valley startup attorney for a NYC startup?

When searching for an attorney that has experience in the type of law I need the result came up with the best being in Silicon Valley. The thing is my startup will be based on the east coast. How much trouble would it be to have your attorney in Silicon...

Answer:

There are three parts to this answer: the first is that legally, even if your company is incorporated...

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David S. Rose at Quora Mark as irrelevant Undo

What step should waller take to resolve the problem in the valley winery?

what step should waller take to resolve the problem in the valley winery

Answer:

i give up, where is the valley winery and when maybe i can help

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wong h at Yahoo! Answers Mark as irrelevant Undo

If the "Youth Problem" in Silicon Valley is that there aren't enough useful technologies being developed, then what are considered "real" problems?

I read the article that I'm sure everyone knows about by now: Silicon Valley’s Youth Problem I understand that the writer of this article presents her own perspective and so this may not be factual, but constantly I keep hearing that most...

Answer:

This is a tough subject to tackle. What "needs" to be fixed could potentially be different...

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Joe Borak at Quora Mark as irrelevant Undo

What's the biggest problem with Silicon Valley?

What are the largest problems with Silicon Valley/startup culture/tech industry? Along the lines of ageism, women in tech, cultural homogenization etc.

Answer:

It's a uni-dimensional geek culture. Now that innovation is rising to a different level of 'human-centric...

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Sramana Mitra at Quora Mark as irrelevant Undo

What is a solution to the winter pollution problem in Cache Valley, Utah?

The combination of cattle and car exhaust results in particulate matter 2.5 at unhealthy levels. There is no emissions testing in the valley. Obviously emissions testing could be implemented, but is it that simple of a fix, or are there other factors...

Answer:

Cache Valley has an annual atmospheric inversion, which prevents air pollution from escaping the valley...

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Brady Postma at Quora Mark as irrelevant Undo

Is there a termite problem in the loire valley France?

as I know there is a problem in the south of France

Answer:

Much of the Western half of France has a termite problem, and I think this includes the Loire Valley...

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DPAKCE67LJMOYJ733BUERXA42Y at Yahoo! Answers Mark as irrelevant Undo

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