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#1 Re: Exercises » The Golden Ratio » 2010-08-16 16:33:09

In mathematics and the arts, both quantities are in the golden ratio if the ratio between the total amounts to the largest number is equal to (=) the ratio of highest to lowest amount of Euclid one.Although not use the term, we call Build this golden ratio.First an isosceles triangle whose base angles are twice the angle at the top.

#2 Re: Ganesh's Puzzles » Average » 2010-08-16 16:18:46

There are many different types of equation for find the average. I give the easy equation are given the below.


    y = f^{-1}\left(\frac{f(x_1)+f(x_2)+\cdots+f(x_n)}{n}\right),

#3 Re: Ganesh's Puzzles » Logarithms » 2010-08-16 16:15:11

log_2(16) = \log_2 \left ( \frac{64}{4} \right ) = \log_2(64) - \log_2(4) = 6 - 2 = 4, \,

log_2(\sqrt[3]4) = \frac {1}{3} \log_2 (4) = \frac {2}{3}. \,

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