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#1976 2012-12-12 21:31:29

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,594

Re: What do you think?

By writing a program in M and running it.


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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#1977 2012-12-12 21:35:23

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,600

Re: What do you think?

I know that. But, did you fill the square and then check all differences or did you do it by filling the squares one by one?


“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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#1978 2012-12-12 21:39:01

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,594

Re: What do you think?

I could write down the pseudocode for the algorithm.


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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#1979 2012-12-12 21:41:34

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,600

Re: What do you think?

Sure! Just hide it!


“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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#1980 2012-12-12 21:44:48

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,594

Re: What do you think?

Hi;


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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#1981 2012-12-12 23:09:02

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,600

Re: What do you think?

Have you finished writing the pseudo-code yet?


“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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#1982 2012-12-12 23:11:36

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,594

Re: What do you think?

Hi;

Not yet, I got busy with something else.


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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#1983 2012-12-12 23:18:23

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,600

Re: What do you think?

Okay.


“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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#1984 2012-12-13 00:09:44

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,594

Re: What do you think?

Hi;

Pseudocode provided.


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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#1985 2012-12-30 21:19:25

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,600

Re: What do you think?

Hi bobbym

Have you actually tried running the code, because I don't thnk it would work...


“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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#1986 2012-12-31 02:23:56

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,594

Re: What do you think?

Hi;

It probably would not work. The pseudocode monster came and ate it up.


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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#1987 2013-01-08 04:40:32

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

Re: What do you think?

Hi,

You have a square of side 5 divided into 25 unit squares. In the central square a 0 is placed.
Question: In how many ways can the square be filled with non-negative numbers so that the absolute difference of numbers in two adjacent squares is never greater than 1? What is the answer if the large square has a side of 11 instead?


Got 433 for the 3x3 matrix, so I'm hopeful that it's the answer.


"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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#1988 2013-01-08 04:44:34

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,594

Re: What do you think?

Hi gAr;

That is what we got too! I never did get an answer for a 5 x 5 and an 11 x 11, yikes!


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.

Offline

#1989 2013-01-08 04:52:26

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

Re: What do you think?

Hi bobbym,

Last month, I worked out a generating function with 3 variables for 3x3, can't find the sheet where I worked it out!
Anyway, there was no symmetry or pattern in it, and 5x5 would need 5 variables and much more complicated.


"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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#1990 2013-01-08 04:58:04

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,594

Re: What do you think?

Hi;

I sure would have liked to have seen that gf for the 3 x 3. I tried a recurrence or two but nothing seemed to work.


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.

Offline

#1991 2013-01-08 05:07:42

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

Re: What do you think?

I'm working on gf for 3x3 again, may take some time.


"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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#1992 2013-01-08 05:10:54

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,600

Re: What do you think?

Hi gAr

If you have three variables, each one must stand for something. What would [x[sup]n[/sup]]F(x,y,z), [y[sup]n[/sup]]F(x,y,z) and [z[sup]n[/sup]]F(x,y,z) represent?


“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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#1993 2013-01-08 05:55:06

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

Re: What do you think?

Hi,

Sorry, it's 2 variables for 3x3

Last edited by gAr (2013-01-08 06:27:17)


"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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#1994 2013-01-08 06:05:32

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,594

Re: What do you think?

Hi gAr;

It sure does get the right answer!


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.

Offline

#1995 2013-01-08 06:22:49

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

Re: What do you think?

Yes! In the same manner, we can use 4 variables for 5x5 matrix, but requires too many cases to consider, quite a problem!


"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."

Offline

#1996 2013-01-08 06:32:47

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,594

Re: What do you think?

Hi;

I have had the same problem with every approach, too complicated to go to the 5 x 5.


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.

Offline

#1997 2013-01-08 15:19:30

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,600

Re: What do you think?

I think this is the hardest question I ever posed, besides "Why?".


“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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#1998 2013-01-08 15:44:22

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,594

Re: What do you think?

It is very valuable to you, is it not?


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.

Offline

#1999 2013-01-08 23:08:34

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,600

Re: What do you think?

What is?


“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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#2000 2013-01-09 04:31:26

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,594

Re: What do you think?

You may learn the Colonel's dictum.


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.

Offline

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