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#151 2012-03-07 10:22:48

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,525

Re: Bafflers?

Hi bobbym

I managed to type it up on my phone, but I'm afraid that's all I can do for now except explain it a little latex-free.

Last edited by anonimnystefy (2012-03-07 10:24:06)


“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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#152 2012-03-07 10:29:54

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,688

Re: Bafflers?

Hi;


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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#153 2012-03-07 10:38:36

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,525

Re: Bafflers?

Derived it myself using the method from the GFology


“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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#154 2012-03-07 10:40:06

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,688

Re: Bafflers?

Hi anonimnystefy;

The book?


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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#155 2012-03-07 10:43:31

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,525

Re: Bafflers?

Yes the book.I only got to the chapter 2.


“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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#156 2012-03-07 10:45:33

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,688

Re: Bafflers?

Very good! That is very impressive. Well done.


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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#157 2012-03-07 10:51:40

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,525

Re: Bafflers?

Thanks, but it's not much yet.Could you give me some easier problems I could work on to practise my GF knowledge.A link would be just fine.


“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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#158 2012-03-07 10:55:00

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,688

Re: Bafflers?

Hi anonimnystefy;

I wish I could. They are very, very scarce. You learn them by trial and error and slowly.


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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#159 2012-03-07 10:58:05

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,525

Re: Bafflers?

Hi bobbym

Aren't there more problems that are done using GF's?


“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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#160 2012-03-07 11:01:55

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,688

Re: Bafflers?

Yes, but GF's are like everything else in mathematics, very iffy. The technique you used will not always work. Sometimes you can not get the recurrence or even a sequence of numbers.


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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#161 2012-03-07 11:05:24

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,525

Re: Bafflers?

Hi bobbym

KI said easier problems.So something I can use the method to get.


“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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#162 2012-03-07 11:09:59

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,688

Re: Bafflers?

This thread is for questions of a less demanding nature. I will put something in your Big O thread.


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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#163 2012-03-07 11:13:57

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,525

Re: Bafflers?

Sure can do.


“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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#164 2012-03-08 00:12:43

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,688

Re: Bafflers?

Baffler #3

There are ten marbles in an urn. 3 red, 4 black and 3 blue. If the marbles are drawn from the urn and laid on a table in the order they were drawn what is the chance that all 3 types are together. Meaning the 3 reds are together, the 3 blue are together and the 4 blacks are together.


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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#165 2012-03-08 02:15:19

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Bafflers?

Hi bobbym,


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#166 2012-03-08 04:40:16

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,688

Re: Bafflers?

Hi gAr;


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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#167 2012-03-08 07:21:51

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,525

Re: Bafflers?

Hi bobbym

I got


“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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#168 2012-03-08 07:25:04

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,688

Re: Bafflers?

Hi;


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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#169 2012-03-08 07:27:17

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,525

Re: Bafflers?

That's 2:1000.


“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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#170 2012-03-08 07:31:24

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,688

Re: Bafflers?

Hmmmm. Who is counting?


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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#171 2012-03-08 08:35:31

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,525

Re: Bafflers?

hi bobbym

i'm finally on my laptop big_smile

ask me what you want about that GF posted.


“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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#172 2012-03-08 08:41:55

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,688

Re: Bafflers?

I think you are in the wrong thread are you not?


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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#173 2012-03-08 08:44:01

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,525

Re: Bafflers?

hi bobbym

i'm not.look at #151.


“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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#174 2012-03-08 08:46:01

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,688

Re: Bafflers?

No questions on that one. The question is in the other thread concerning the supposed Tribonacci numbers.


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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#175 2012-03-08 09:02:39

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,525

Re: Bafflers?

ok,then.

also,i'm now looking at the way of solving the problem you just posted using GF's.


“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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