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산술평균 ≥ 기하평균..

**Mathematics 2009/01/19 17:54 by 5hoon

수학시간에 배운 증명 ...

말은 안해줬지만 ...
대략 Arithmetic Mean ≥ Geometric mean 을 증명하는것이였다..

1. If $formdata=x,y\geq0$ , Then $formdata=\frac{x+y}{2} \geq \sqrt{xy}$ .

증명

2. If $formdata=w,x,y,z\geq0$ , Then $formdata=\frac{w+x+y+z}{4}\geq(wxyz)^{\frac{1}{4}}$ .

more..

3. If $formdata=x,y,z\geq0$ , Then $formdata=\frac{x+y+z}{3}\geq(xyz)^{\frac{1}{3}}$
To be continued ...

TAG arithmetic mean, Geometric mean, Math, Proof, 기하평균, 산술평균, 증명, 평균

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