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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,606

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
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Hi;

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

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**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,606

Can you prove your conjecture?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,988

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.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,606

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
- Posts: 15,606

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.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,606

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
- Posts: 15,606

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.

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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?

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,606

Yes.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,606

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.

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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?

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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
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Nope, they are solved by computation. Do you have access to some computational engine?

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,606

like what?

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

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,606

nothing on my desktop.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,988

Not even geogebra!

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,606

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.

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