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## #1676 2012-04-04 16:11:41

bobbym

Online

### Re: What do you think?

Hi gAr;

Hi anonimnystefy;

Please calculate that. When you do you will notice that you submitted two different answers. I believe your second answer is much closer.

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.

## #1677 2012-04-04 21:45:47

gAr
Star Member

Offline

### Re: What do you think?

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."

## #1678 2012-04-04 21:50:00

bobbym

Online

### Re: What do you think?

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.

## #1679 2012-04-04 21:53:34

gAr
Star Member

Offline

### Re: What do you think?

Hi bobbym,

Phew, from past couple of hours I was checking why it's not getting close, since most of the questions had answers near to that of B's!

And how are you? Moved to a new place?

"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."

## #1680 2012-04-04 21:56:14

bobbym

Online

### Re: What do you think?

Hi gAr;

Sorry, but B got it wrong when he did this, so I put that into the problem. I had to research this answer when I posted this.

Yes, I moved. It was very hectic and just a blur of activity. I still have some work to do before I am done.

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.

## #1681 2012-04-04 22:00:35

gAr
Star Member

Offline

### Re: What do you think?

Hi,

Ok, it's a good problem. Thanks.
How's your new place? More greenery or more concrete?

"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."

## #1682 2012-04-04 22:06:19

bobbym

Online

### Re: What do you think?

A little better scenery and better location but only about 150 yards from the other place.

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.

## #1683 2012-04-04 22:10:07

gAr
Star Member

Offline

### Re: What do you think?

Okay, I'll take a break.
See you later.

"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."

## #1684 2012-04-04 22:13:57

bobbym

Online

### Re: What do you think?

Okay and thanks for working on the problem!

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.

## #1685 2012-04-24 02:54:37

bobbym

Online

### Re: What do you think?

New Problem:

A student approaches A with a dilemma. The student has a favorite calculator located here;

http://www.calcoolate.com/

The student would like to calculate this

on her favorite calculator of course. So she enters sqrt(3.0000000000000001)-sqrt(3)= and to her dismay the calculator returns 0. She knows that is not right and her faith in her calculator is shattered. She runs to A...

A says) Obvious proof of the stupidity of computers and the people who use them. You deserve that answer for trusting something that is clearly kaboobly doo!

The student begins to cry.

B says) Hold on A. You are mistaken. That is a pretty decent calculator, she just used it incorrectly.

The student explains to be B that she entered it correctly.

B says) I did not mean that. I meant you phrased the problem in a way that was numerically unstable and if you phrase it like...

C says) You hold on there B. A is right, as usual. I tried this on a bunch of calculators and even used your beloved mathematica and I got 0 too! Obviously 3.0000000000000001 = 3.

E says) How do you get that conclusion? Let's hear what B has to say on this.

A says) We have indulged B enough. I think C has a point. Look at 3.1, 3.01, 3.001, 3.0001, 3.00001 ... Doesn't that approach 3? Good work C! 3.0000000000000001 = 3

D says) Yes, I think C has hit it right on the head. And A's reasoning just brings tears of joy to my eyes.

E says) More like agony rather than joy.

Can you help the student get a decent answer to her problem using her calculator?

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.

## #1686 2012-04-24 03:19:12

anonimnystefy
Real Member

Offline

### Re: What do you think?

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

## #1687 2012-04-24 03:26:56

bobbym

Online

### Re: What do you think?

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.

## #1688 2012-04-24 03:31:27

anonimnystefy
Real Member

Offline

### Re: What do you think?

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

## #1689 2012-04-24 04:04:06

bobbym

Online

### Re: What do you think?

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.

## #1690 2012-04-24 04:27:30

anonimnystefy
Real Member

Offline

### Re: What do you think?

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

## #1691 2012-04-24 04:46:36

bobbym

Online

### Re: What do you think?

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.

## #1692 2012-04-24 04:50:30

anonimnystefy
Real Member

Offline

### Re: What do you think?

Hi bobbym

"Can you demonstrate something we talked about that shows more understanding?"

What else is there?

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

## #1693 2012-04-24 04:56:32

bobbym

Online

### Re: What do you think?

I sure can! What is the workhorse of numerical analysis?

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.

## #1694 2012-04-24 04:58:52

anonimnystefy
Real Member

Offline

### Re: What do you think?

Series?

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

## #1695 2012-04-24 05:07:00

bobbym

Online

### Re: What do you think?

Close! What kind of series?

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.

## #1696 2012-04-24 05:12:11

anonimnystefy
Real Member

Offline

### Re: What do you think?

Asymptotic?

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

## #1697 2012-04-24 05:15:25

bobbym

Online

### Re: What do you think?

Nope. Taylor series!

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.

## #1698 2012-04-24 05:18:16

anonimnystefy
Real Member

Offline

### Re: What do you think?

Hi

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

## #1699 2012-04-24 05:31:58

bobbym

Online

### Re: What do you think?

Not exactly.

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.

## #1700 2012-04-24 05:41:39

anonimnystefy
Real Member

Offline

### Re: What do you think?

#### bobbym wrote:

Hi;

Problem #15:

What is the longest string of consecutive positive numbers that when added equal 2009?
Watch it it can be tricky.

This is the one I got. Is it the longest? No peeking!

which must be equal to 2009.So:

Because the sum should have as many terms as possible,we need n-m to maximum,so n-m+1 must also be maximum possible,but it still needs to be less than the term m+n And they need to be of the different parity.We write all possible factorization of 4018 into 2 factors:

1 4018
2 2009
7 574
14 287
41 98
49 82

So the largest possible length is 4.

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