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#1 2009-08-09 23:17:58

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,535

Binomial Theorem

Made a page about the Binomial Theorem

Critiques welcome.


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#2 2009-08-10 06:56:32

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,258

Re: Binomial Theorem

Hi MathsisFun;

Well done, would like to see you mention Sir Isaac Newton.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#3 2009-08-10 12:42:56

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,535

Re: Binomial Theorem

Ah yes,the general version. What would you suggest writing? It may need a whole page on its own.


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#4 2009-08-10 15:19:35

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,258

Re: Binomial Theorem

Hi MathsisFun;

Just a brief paragraph mentioning that Newton is credited with the discovery should do it.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#5 2009-08-19 18:25:04

soroban
Member
Registered: 2007-03-09
Posts: 451

Re: Binomial Theorem


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#6 2009-08-20 10:05:30

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,535

Re: Binomial Theorem

That is a cool trick.

It also applies to the C=6 term: C = 1*6/(0+1) = 6

So there must be a general rule for generating any row of Pascal's Triangle ...


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#7 2010-02-06 12:21:25

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,535

Re: Binomial Theorem

I have reworked the page, including more examples at the end.

Would appreciate your thoughts, guys: Binomial Theorem


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#8 2010-02-06 13:11:47

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,258

Re: Binomial Theorem

Hi MathsisFun;

Nice derivation of the Taylor series for e at the bottom. Thanks for the page.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#9 2010-02-06 14:12:37

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,535

Re: Binomial Theorem

Thanks bobby!


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#10 2010-02-07 03:49:53

John E. Franklin
Member
Registered: 2005-08-29
Posts: 3,562

Re: Binomial Theorem

Looks really spiffy!!!


igloo myrtilles fourmis

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