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Field197
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Demonstration binôme de Newton (a+b)-n
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In summary, the "Demonstration binôme de Newton (a+b)-n" is a mathematical proof that demonstrates the expansion of the binomial (a+b)^n, named after Sir Isaac Newton. It is used in various fields of science to calculate probabilities and simplify equations. The steps involve using Pascal's triangle and the binomial theorem, and it has many real-life applications such as in gambling, genetics, and computer algorithms. While it may seem complicated, with practice and understanding of basic algebra and Pascal's triangle, it can be easily understood with the help of online resources and tutorials.
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CRGreathouse
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(Je ne parle francais mais un peut!)
Sais-tu LaTeX? Les dossiers sont > 8 MB! L'ecriture est bien, mais LaTeX est plus bien ici.
Voici:
[tex](u+v)^{-n}=\sum^\infty_{\alpha=0}\frac{(-1)^\alpha(n+\alpha-1)!}{\alpha!(n-1)!}u^{-n+\alpha}v^\alpha[/tex]
Sais-tu LaTeX? Les dossiers sont > 8 MB! L'ecriture est bien, mais LaTeX est plus bien ici.
Voici:[tex](u+v)^{-n}=\sum^\infty_{\alpha=0}\frac{(-1)^\alpha(n+\alpha-1)!}{\alpha!(n-1)!}u^{-n+\alpha}v^\alpha[/tex]
- #3
arildno
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Je parle Francais tres mal. Voulez vous ouvrir la valise, s'il vous plait?
FAQ: Demonstration binôme de Newton (a+b)-n
What is a "Demonstration binôme de Newton (a+b)-n"?
The "Demonstration binôme de Newton (a+b)-n" is a mathematical proof that demonstrates the expansion of the binomial (a+b)^n. It is named after Sir Isaac Newton, who first discovered this method of expanding binomials.
How is the "Demonstration binôme de Newton (a+b)-n" used in science?
This mathematical concept is used in various fields of science, including physics, chemistry, and engineering, to calculate the probabilities of events and to simplify complex mathematical equations.
Can you explain the steps involved in the "Demonstration binôme de Newton (a+b)-n"?
The demonstration involves the use of Pascal's triangle and the binomial theorem to expand the binomial (a+b)^n. The steps include finding the coefficients using the binomial theorem and then substituting the values of a and b into the expanded form.
What are some real-life applications of the "Demonstration binôme de Newton (a+b)-n"?
This mathematical concept is used in various real-life scenarios, such as calculating probabilities in gambling and predicting outcomes in genetics. It is also used in designing computer algorithms and in financial analysis.
Is the "Demonstration binôme de Newton (a+b)-n" difficult to understand?
The concept may seem complicated at first, but with practice and understanding of basic algebra and Pascal's triangle, it can be easily comprehended. There are also many online resources and tutorials available to help understand this concept better.