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#601 2012-06-23 22:55:07

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

Re: Bafflers?

Thanks!


"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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#602 2012-06-23 23:07:15

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,607

Re: Bafflers?

Hi gAr;

Your welcome, we have a problem on the other question.


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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#603 2012-06-24 05:30:52

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,657

Re: Bafflers?

bobbym wrote:

New Problem:

We start with the sequence a0, a1, a2, a3,... with a0 being a positive integer and the recurrence

If the last digit of

is 5 or less then that digit is dropped. The process stops when
has no more digits.

1) Can you find an a0 that will produce an infinite sequence?

2) An a0 that will produce a finite sequence?



What do you exactly mean by a finite sequence?


“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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#604 2012-06-24 05:32:44

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,607

Re: Bafflers?

Does the a_n's ever run out of digits? That would be a finite sequence.


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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#605 2012-06-24 05:36:01

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,657

Re: Bafflers?

So a sequence of the form:

is finite, right?


“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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#606 2012-06-24 05:43:49

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,607

Re: Bafflers?

That would be an infinite sequence. A finite one would be one that ran out of digits. Remember a digit is sometimes just dropped! If I show you one it gives the answer away.


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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#607 2012-07-03 06:46:42

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,607

Re: Bafflers?

New Problem:

How many solutions are there to,

A says)21 solutions.

B says) Nope! That is too high.

C says) I counted them, there are 8.

D says) I like 21 too.

E says) I agree with B.


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

#608 2012-07-03 15:48:32

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

Re: Bafflers?

Hi bobbym,

Last edited by gAr (2012-07-03 16:06:58)


"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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#609 2012-07-03 16:38:16

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,657

Re: Bafflers?

Nice GF gAr.

And congrats on being a star member! smile


“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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#610 2012-07-03 16:44:31

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

Re: Bafflers?

Hi anonimnystefy,

Thanks!


"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

#611 2012-07-03 16:50:13

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,657

Re: Bafflers?

You're welcome.

I have a question for you. Is there a closed form for:

?


“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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#612 2012-07-03 17:49:14

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

Re: Bafflers?

Hi,

I found that it's a theta function, maybe it doesn't have a closed form.


"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

#613 2012-07-03 17:57:20

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,657

Re: Bafflers?

A theta function?


“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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#614 2012-07-03 20:14:01

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,607

Re: Bafflers?

Hi gAr;


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

#615 2012-07-03 21:28:05

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

Re: Bafflers?

Hi bobbym,

Thanks!


"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

#616 2012-07-03 21:31:21

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,607

Re: Bafflers?

Hi gAr;

How are you and how are your studies going?


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

#617 2012-07-03 21:34:19

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

Re: Bafflers?

Hi,

My studies are going fine, how are you?


"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

#618 2012-07-03 21:35:41

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,607

Re: Bafflers?

Hi;

The same, just hotter! It is summer here.


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

#619 2012-07-03 21:59:30

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

Re: Bafflers?

That's nice, is it too hot?
It's supposed to be rainy season here, but no sign of rain!


"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

#620 2012-07-03 22:01:22

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,607

Re: Bafflers?

No rain here and about 110F. Was hoping to be in Florida by now which is more humid and more tropical.


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

#621 2012-07-03 22:30:23

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

Re: Bafflers?

We start with the sequence a0, a1, a2, a3,... with a0 being a positive integer and the recurrence

If the last digit of

is 5 or less then that digit is dropped. The process stops when
has no more digits.

1) Can you find an a0 that will produce an infinite sequence?

2) An a0 that will produce a finite sequence?


"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

#622 2012-07-04 00:53:43

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,657

Re: Bafflers?

Hi gAr


“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

Offline

#623 2012-07-04 01:04:19

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,607

Re: Bafflers?

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.

Offline

#624 2012-07-04 01:11:42

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,657

Re: Bafflers?

Hi bobbym


“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

Offline

#625 2012-07-04 01:14:24

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,607

Re: Bafflers?

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.

Offline

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