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#2 Re: Help Me ! » Knight's Random Walk » 2017-02-19 21:32:53

I know how to solve it for an 8 by 8 board.

#3 Re: Help Me ! » Knight's Random Walk » 2017-02-16 18:55:10

I do not know how one does infinite similations.

In that case, I think the knight case is similar..

#5 Re: Help Me ! » Knight's Random Walk » 2017-02-16 16:22:36

Yes, let's solve a simpler problem first

#6 Re: Help Me ! » Knight's Random Walk » 2017-02-16 15:20:23

I meant, what is the expected time after which you return to the origin in the following random walk?

Start at 0. When in i, with probability 0.5, go to i+1, and with probability 0.5 go to i-1

#7 Re: Help Me ! » Knight's Random Walk » 2017-02-16 02:57:49

I can find this value for a finite n. But I do not think taking limit on n makes sense.

What is the mean time of return to the origin when you do a random walk on the integers?

#8 Help Me ! » Knight's Random Walk » 2017-02-16 01:31:42

Agnishom
Replies: 13

A knight on an unbounded chess board picks one of the possible 8 moves uniformly at random. What is the expected time after which the knight comes back to where it started?

#10 Re: Dark Discussions at Cafe Infinity » Suggest Pronounceable Strings for naming a person » 2017-02-12 21:32:37

No, seriously, my friend asked me to ask bobbym, because bobbym might be able to invent a few good ones.

#11 Re: Dark Discussions at Cafe Infinity » Suggest Pronounceable Strings for naming a person » 2017-02-12 20:15:02

That sounds interesting to me.

Keep going.

Have you heard of Princess Consuela Banana Hammock?

#13 Re: Dark Discussions at Cafe Infinity » Suggest Pronounceable Strings for naming a person » 2017-02-12 14:13:07

But this thread is about getting suggestions, so that he knows what is the best to name himself.

Einar is not an unique name. There are people named Einar. We are looking for unique names, like Agnishom. There was no one called Agnishom before me.

How do you pronounce Einar?

#14 Re: Dark Discussions at Cafe Infinity » Suggest Pronounceable Strings for naming a person » 2017-02-12 05:31:07

He wants to change his name.

Einar sounds like an interesting name. Do you have any more of these? Preferably something original

#16 Dark Discussions at Cafe Infinity » Suggest Pronounceable Strings for naming a person » 2017-02-12 03:56:33

Agnishom
Replies: 15

Hi;

I have a friend who is looking for a new name for himself. He wants it to be an unique name.

Please suggest ideas.

#18 Re: Maths Teaching Resources » BV Rao's Probability Notes » 2017-02-10 18:20:22

Excellent! I am guessing that he was born sometime in 1940s

What did you learn today?

#19 Maths Teaching Resources » BV Rao's Measure Theory Notes » 2017-02-10 18:16:41

Agnishom
Replies: 0

Here are BV Rao's notes on Measure Theory.

They are believed to be a good resource, but I have not verified that personally.

#20 Re: Maths Teaching Resources » BV Rao's Probability Notes » 2017-02-10 18:11:19

He always provides examples and adequate motivation before generalizing something.

Here are some gems by him:

BV Rao wrote:

The more and more notation you use, the more and more you get confused.

BV Rao wrote:

What is n, m, all this non-sense? Take 10, 20, doesn't matter.

BV Rao wrote:

Everything should be absolutely concrete.

#21 Re: Maths Teaching Resources » BV Rao's Probability Notes » 2017-02-10 18:04:10

His notes are comprehensive and really good.

#23 Maths Teaching Resources » BV Rao's Probability Notes » 2017-02-10 17:41:57

Agnishom
Replies: 11

Here are some notes on Discrete Probability Theory by BV Rao

#24 Re: Help Me ! » Sum with Binomial Coefficients » 2017-02-06 03:50:31

Dolon Zeilberger is one of the co-authors.

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