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#1 2013-11-30 05:49:30

Nils-Ake
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n^2

big_smile I have just realized






 

#2 2013-11-30 06:04:53

bobbym
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Re: n^2

Hi;

From your table we get the difference equation,



with



when solved for we get


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.
 

#3 2013-11-30 12:24:43

Nils-Ake
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Re: n^2

Thanks bobby smile I think the symmetry is pretty cool!

 

#4 2013-11-30 13:01:38

bobbym
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Re: n^2

Hi;

I do not know whether it is original but I have never seen it put like that so thanks for posting it.


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.
 

#5 2013-11-30 13:14:33

Agnishom
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Award: Wink Sherlock

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Re: n^2

bobbym wrote:

Hi;

From your table we get the difference equation,



with



when solved for we get

What does this mean?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Who are you to judge everything?' -Alokananda
 

#6 2013-11-30 13:16:27

bobbym
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Re: n^2

Take a look at the table he constructed and think iteratively.


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.
 

#7 2013-11-30 20:06:34

bob bundy
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Re: n^2

hi Nils-Ake

Many of my posts have diagrams.  Here's one for your discovery.  smile

Bob


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You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
 

#8 2013-11-30 22:21:35

Nehushtan
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#9 2013-12-04 03:09:06

antonrasmussen
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Re: n^2

Interested to hear more on how you stumbled onto this . . . were you working on something? Playing around?

Also, this seems to relate to Pascal's triangle . . . is there a connection there?


-Anton


--
Noobdunno

 

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