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#1701 2012-04-24 05:45:57

bobbym
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Re: What do you think?

What the heck has that got to do with a 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.
 

#1702 2012-04-24 05:49:37

anonimnystefy
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Re: What do you think?

Nothing.Just found it.

What is wrong with a Taylor for sqrt(3+x) around 0?


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
 

#1703 2012-04-24 05:52:26

bobbym
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Re: What do you think?

It will not allow us to calculate it easily.


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.
 

#1704 2012-04-24 05:56:40

anonimnystefy
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Re: What do you think?

We then apply RRA.


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
 

#1705 2012-04-24 06:03:16

bobbym
Administrator

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Re: What do you think?

I will post a workable solution in the computer math section. In the meantime good work because you did solve the problem satisfactorily.


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.
 

#1706 2012-04-24 06:07:26

anonimnystefy
Real Member

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Re: What do you think?

Okay! Thanks for the problem.


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
 

#1707 2012-04-24 06:12:06

bobbym
Administrator

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Re: What do you think?

Now, what is the answer you are getting for problem 15, post #1701?


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.
 

#1708 2012-04-24 06:18:12

anonimnystefy
Real Member

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Re: What do you think?

I think it is the same as yours.

Last edited by anonimnystefy (2012-04-24 06:45:48)


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
 

#1709 2012-04-24 08:10:33

bobbym
Administrator

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.
 

#1710 2012-04-25 00:24:50

anonimnystefy
Real Member

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Re: What do you think?

Thanks. The reason I have posted it is because it seemed to me no one posted an algebraic method.


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
 

#1711 2012-04-25 00:33:13

bobbym
Administrator

Online

Re: What do you think?

You did well.


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.
 

#1712 2012-04-25 00:34:08

anonimnystefy
Real Member

Offline

Re: What do you think?

Have you found any problems for Bafflers?


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
 

#1713 2012-04-25 00:38:46

bobbym
Administrator

Online

Re: What do you think?

Yes, billions of them.


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.
 

#1714 2012-04-25 00:39:50

anonimnystefy
Real Member

Offline

Re: What do you think?

Why don't you post one?


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
 

#1715 2012-04-25 00:53:22

bobbym
Administrator

Online

Re: What do you think?

I am posting one.


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.
 

#1716 2012-04-25 00:54:48

anonimnystefy
Real Member

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Re: What do you think?

Okay. I am looking forward to it.


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
 

#1717 2012-05-02 21:25:23

bobbym
Administrator

Online

Re: What do you think?

New Problem

A machine is to visit the following 7 points on a grid every day. See the first picture.

The points are located at (0,1),(1,0),(2,0),(3,1),(4,2),(5,2),(6,3).

Plot a curve as close as you can that allows the machine to travel the least distance per day. To prevent wear and tear on the giant machine just gentle turns are possible.

A says) Ridiculously simple! Just fit straight lines between each point like this, see the second picture.

E says) Look at those sharp turns at the end of each point. Turns like that will tear the machine apart.

C says) I got it! I fit a 6th degree interpolating polynomial that is the shortest distance and look how smooth my path is. See the third picture.

D says) Well done C!

B says) That is a fit but it is not the shortest path through those points.

Is B right? Can you find the path he is thinking of?


Uploaded Images
View Image: 2012-05-02_042142.gif View Image: 2012-05-02_044759.gif View Image: 2012-05-02_073515.gif  


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.
 

#1718 2012-07-07 02:37:51

bobbym
Administrator

Online

Re: What do you think?

New problem:



Certain of the A(k) are integers. The first one is A(1)=1. The second one is A(5)=11. The third one is A(7)=20.

A certain mathematician needs the 12345678 integer in that sequence.

A says) How does anyone know there are any integers after those 3?

B says) Well one way would be to actually find the number.

C says) I could not and I have a Cray super computer in my house. Yesterday, the liquid nitrogen leaked out and froze my pet lizard.

D says) I do not believe such a computation is possible.

E says) I have it.

B says) That is correct.

A says) Kaboobly doo! There are only 1000 integers in that sequence and I can prove it. My proof is simple and only 441 pages long. A darn good read if I must say so myself. Here is the first line, just to whet you appetite:

Let G be a metric...

Can you find the number or do you agree with A?


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.
 

#1719 2012-07-07 03:17:52

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
 

#1720 2012-07-07 03:19:42

bobbym
Administrator

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.
 

#1721 2012-07-07 03:21:59

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
 

#1722 2012-07-07 03:25:02

bobbym
Administrator

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.
 

#1723 2012-07-07 05:00:24

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
 

#1724 2012-07-07 05:02:55

bobbym
Administrator

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.
 

#1725 2012-07-07 05:06:48

anonimnystefy
Real Member

Offline

Re: What do you think?

Hi bobbym

Last edited by anonimnystefy (2012-07-07 05:07:02)


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
 

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