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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
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### 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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,037

### 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
The knowledge of some things as a function of age is a delta function.

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## #604 2012-06-24 05:32:44

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### 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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,037

### 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
The knowledge of some things as a function of age is a delta function.

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## #606 2012-06-24 05:43:49

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### 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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### 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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #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: Harlan's World
Registered: 2011-05-23
Posts: 16,037

### Re: Bafflers?

Nice GF gAr.

And congrats on being a star member!

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
The knowledge of some things as a function of age is a delta function.

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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: Harlan's World
Registered: 2011-05-23
Posts: 16,037

### 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
The knowledge of some things as a function of age is a delta function.

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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: Harlan's World
Registered: 2011-05-23
Posts: 16,037

### 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
The knowledge of some things as a function of age is a delta function.

Offline

## #614 2012-07-03 20:14:01

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: Bafflers?

Hi gAr;

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### 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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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."

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

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: Bafflers?

Hi;

The same, just hotter! It is summer here.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #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
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### 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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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: Harlan's World
Registered: 2011-05-23
Posts: 16,037

### 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
The knowledge of some things as a function of age is a delta function.

Offline

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

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: Bafflers?

Hi;

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

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

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,037

### 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
The knowledge of some things as a function of age is a delta function.

Offline

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

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: Bafflers?

Hi;

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline