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

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,552

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: 90,582

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,552

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: 90,582

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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

soroban
Member
Registered: 2007-03-09
Posts: 452

Re: Binomial Theorem


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

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,552

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: 7,552

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: 90,582

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,552

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: 3,565

Re: Binomial Theorem

Looks really spiffy!!!


igloo myrtilles fourmis

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