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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,522

Hi guys

As some of you suggested i am posting this problem here.

So,here's the problem:

How many numbers

are there such that: ?*Last edited by anonimnystefy (2012-03-23 10:46:33)*

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,365

Hi;

I am going to be the first to conjecture an infinite amount. Here are 30

**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
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Can you prove your conjecture?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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That might be very difficult or impossible to do. I do not know yet.

**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: 15,522

It may even be false.

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

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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I found that the equation above is equivalent to:

There seem to be no solutions with the given restrictions .

*Last edited by anonimnystefy (2012-03-23 11:18:26)*

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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I posted 30 solutions and there are more.

**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: 15,522

I checked the first of them and it's not correct.The same probably goes for the other ones as well.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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Read the problem again.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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You changed the problem! It is different in the other thread!

This one is trivial. Of course there is no solutions.

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
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Hi bobbym

I posted incorrectly over there.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Okay, no problem. Do you see why there are no solutions?

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: 15,522

Yes.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,522

hi bobbym

i know this is not the appropriate thread,but could you tell me some uses of the Markov chains?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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They solve probability problems mostly. I show by example and leave the theorems to guys who hate numbers.

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
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then show me an example.it will be more helpful.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Uhhh, do you know what show by example means?

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
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i thought you meant an example by solving a theoretical problem.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Nope, they are solved by computation. Do you have access to some computational engine?

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: 15,522

like what?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Maple, mathematica, maxima, axiom, derive, sage...

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: 15,522

nothing on my desktop.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Not even geogebra!

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: 15,522

actually i have 'Geogebra Prim'

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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GeoGebraPrim.exe? Do you have the one with maxima inside as I suggested to you a zillion years ago.

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

Combinatorics is Algebra and Algebra is Combinatorics.

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