Quod Erat Demonstrandum

2010/11/22

小數定律?

Filed under: Fun — johnmayhk @ 5:41 下午

(x + y)^3 = x^3 + y^3 + 3xy(x + y)(x^2 + xy + y^2)^0

(x + y)^5 = x^5 + y^5 + 5xy(x + y)(x^2 + xy + y^2)^1

(x + y)^7 = x^7 + y^7 + 7xy(x + y)(x^2 + xy + y^2)^2

12 \times 12 = 144, 21 \times 21 = 441

13 \times 13 = 169, 31 \times 31 = 961

差不多,乃偶然遇上的驚喜也。

More at

http://www.math.sjsu.edu/~hsu/courses/126/Law-of-Small-Numbers.pdf

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