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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,700

Okay, no problem. I will come up with something.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,015

Okay, thanks.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**ElainaVW****Member**- Registered: 2013-04-29
- Posts: 538

I would like to see a new problem too

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,700

I am posting it now.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 4,374

Hi Bobby and stefy,

bobbym wrote:

Are you attempting to solve this with a simulation?

Yes...as per the question. I hadn't even considered the much sounder and accurate mathematical alternative and the craziness of such a large sim!

Thanks for the fix for my B version, Bobby...took me a while to understand it, but I finally got it.

I tried the codes that both of you posted, but I particularly like this sim one of stefy's as it's brief, fast and I can understand it:

anonimnystefy wrote:

Here is my own code with no strings:

`Count[Table[RandomInteger[], {10000}, {10}], {___, 1, 1, 1, 1, ___}]/10000 // N`

I didn't know that pattern trick, so that was nice to learn.

This slightly amended code reduces processing time by about 40%:

`Count[Table[RandomInteger[1, 10], {10000}], {___, 1, 1, 1, 1, ___}]/10000 // N`

That blindingly-fast code in post #58 erred if I'd used 'a' or 'n' elsewhere in the current M run, but "ClearAll["Global`*"];" at the beginning fixed that. Found it on the net.

*Last edited by phrontister (2013-05-03 06:03:11)*

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,700

Hi;

The important part is the Tuples command, if you understand that...

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 4,374

Oops! Yes, I was amazed at the speed and short code, but before understanding it properly I started reading all the other posts that followed and clean forgot to get back to it. I did look up Tuples and Cases at the time and think I'm nearly there with it, but I'll have a closer look after I've been to bed...which is where I should have been hours ago!

So many ways to skin a cat!

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,700

M has that feature. It is nice but it is confusing. See you later.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,015

bobbym wrote:

I am posting it now.

Thanks!

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,700

I posted it a long time ago.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,015

I know. But, I haven't had a chance to post when you posted it.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,700

That is okay. Good luck with the problem and may the M be with you.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,015

Well, I'll leave this one until he sees and reads it.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,700

He might start working on it himself.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,015

He probably will. I just do not want him to abandon it because a discussion of it has started.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,700

Well, I hope the comments of A and C and especially D do not lead him astray.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,015

Me too.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,700

Okay, I have to go shopping so I will see you later.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,015

Okay, see you.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,700

Where am I going? Bought some food and I am eating it.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 4,374

Hi Bobby,

bobbym wrote:

...and may the M be with you.

And May the Fourth be with you!

Yes...that Tuples command is interesting, generating all those possibles like that. Length was new to me too, and I didn't know about the use of "//" either. So...thanks for introducing them.

Early to bed for a change. Catch you later.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,700

The Fourth?

Have a good night.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 4,374

bobbym wrote:

The Fourth?

Either that's today's date, or I've developed a bad spelling lithp.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,700

I thought it was the fifth over there.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 4,374

It is now, but not when I wrote that last night. I'd waited with that post until it was the fourth both in Oz and the U.S.

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