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## #601 2012-06-24 20:55:07

gAr
Star Member

Offline

### 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."

## #602 2012-06-24 21:07:15

bobbym

Online

### 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 have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #603 2012-06-25 03:30:52

anonimnystefy
Real Member

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### 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?

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #604 2012-06-25 03:32:44

bobbym

Online

### 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 have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #605 2012-06-25 03:36:01

anonimnystefy
Real Member

Offline

### Re: Bafflers?

So a sequence of the form:

is finite, right?

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #606 2012-06-25 03:43:49

bobbym

Online

### 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 have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #607 2012-07-04 04:46:42

bobbym

Online

### 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 have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #608 2012-07-04 13:48:32

gAr
Star Member

Offline

### Re: Bafflers?

Hi bobbym,

Last edited by gAr (2012-07-04 14:06:58)

"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."

## #609 2012-07-04 14:38:16

anonimnystefy
Real Member

Offline

### Re: Bafflers?

Nice GF gAr.

And congrats on being a star member!

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #610 2012-07-04 14:44:31

gAr
Star Member

Offline

### 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."

## #611 2012-07-04 14:50:13

anonimnystefy
Real Member

Offline

### Re: Bafflers?

You're welcome.

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

?

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #612 2012-07-04 15:49:14

gAr
Star Member

Offline

### 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."

## #613 2012-07-04 15:57:20

anonimnystefy
Real Member

Offline

### Re: Bafflers?

A theta function?

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #614 2012-07-04 18:14:01

bobbym

Online

### Re: Bafflers?

Hi gAr;

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #615 2012-07-04 19:28:05

gAr
Star Member

Offline

### 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."

## #616 2012-07-04 19:31:21

bobbym

Online

### 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 have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #617 2012-07-04 19:34:19

gAr
Star Member

Offline

### 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."

## #618 2012-07-04 19:35:41

bobbym

Online

### 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 have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #619 2012-07-04 19:59:30

gAr
Star Member

Offline

### 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."

## #620 2012-07-04 20:01:22

bobbym

Online

### 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 have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #621 2012-07-04 20:30:23

gAr
Star Member

Offline

### 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."

## #622 2012-07-04 22:53:43

anonimnystefy
Real Member

Offline

### Re: Bafflers?

Hi gAr

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #623 2012-07-04 23:04:19

bobbym

Online

### Re: Bafflers?

Hi;

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #624 2012-07-04 23:11:42

anonimnystefy
Real Member

Offline

### Re: Bafflers?

Hi bobbym

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #625 2012-07-04 23:14:24

bobbym

Online

### Re: Bafflers?

Hi;

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.