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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,240

Okay, I am sorry if I gave you that impression. I have been reading everything you said and have not intentionally put anything other than what I think in my replies. My apology if I seemed argumentative, I was not trying to be.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

No, no. There is really no need to apologize. Maybe tomorrow, when I log on with the laptop, I will have a better chance of explaining what I want.

You do not seem argumentative. Just a bit stubborn. But, then again, I am no better.

Here lies the reader who will never open this book. He is forever dead.

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,240

Not stubborn, passionate about numerical methods.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

Well, I did not attack it as a numerical method.

But let's leave that for tomorrow.

Here lies the reader who will never open this book. He is forever dead.

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,240

Hmmm, it is tomorrow and I do not see ole anonimnystefy here.

So, I will argue with myself:

bobbym: I think the PSLQ is great.

bobbym: It sure is, it was voted one of the top 10 algorithms of the 20th century.

bobbym: I did not know that...

bobbym: Possibly it was voted number one.

bobbym: I will tell anonimnystefy when I see him.

bobbym: You do that, he might listen to you.

more to follow...

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

You have not been here whole day while I was on the laptop.

Anyway, I think you have the wrong idea. I have nothibg against PSLQ. I am kust saying that it is not a method for solving integrals, because it is always paired up with some way of numerical integration.

On the other hand, I do think that contour integration is a method for solving integrals, because to solve an integral with it you do not need anything besides it submethods.

Here lies the reader who will never open this book. He is forever dead.

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,240

That is you must admit a strange distinction about why one is and why another one is not.

Let me say that coupled together PSLQ and numerical integration will do a heck of a lot more integrals than contour integration.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

It is not strange. Look at it this way: contour integration is a method for solving integrals, but solely finding the residues isn't.

Here lies the reader who will never open this book. He is forever dead.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,240

contour integration is a method for solving integrals, but solely finding the residues isn't

Numerical integration is a method for solving integrals but using the PSLQ isn't.

Sounds the same as your post!

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

There you go!

Here lies the reader who will never open this book. He is forever dead.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,240

But using both is a powerful method to solve definite integrals.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

That is true.

Here lies the reader who will never open this book. He is forever dead.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,240

So did you do one with your PSLQ?

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

I haven't yet. I explored the world of Mathematica.

Here lies the reader who will never open this book. He is forever dead.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,240

How did you do that?

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

Well, I searched for different things.

I found an implementation of a random walk, for example.

Here lies the reader who will never open this book. He is forever dead.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,240

A random walk can be done in M extremely easily. You use the accumulate function.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

I think he used NestList.

Here lies the reader who will never open this book. He is forever dead.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,240

M has a 1000 ways to do everything and that is its greatest strength and its biggest weakness.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

Why is it a weakness?

Here lies the reader who will never open this book. He is forever dead.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,240

The learning curve is not very steep for ordinary humans like myself.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

Hm. I'm not sure if that is a weakness on M's side or the user side.

Anyway, have you ran a simulation for the first two parts of the rat problem?

Here lies the reader who will never open this book. He is forever dead.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,240

Yes, and it is not getting Agnishom's answer for c) so I would like to check it again before showing it.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

Why not post it anyway? If there is an error somewhere, there are better chances of spotting it.

Here lies the reader who will never open this book. He is forever dead.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,240

When 2 answers do not agree that worries me a lot. Just a wee bit more tabasco!

Of course the user is weak, it is up to the package to help him out. Not everyone is a Newton or reptile spawned. Anyway 6000 commands and 500 added on each new release can be daunting.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**