Me

My self-summary

I am a physicist by nature, an educator by miracle, and a writer by destiny. — Me@2010.09.21

What I’m doing with my life

Transforming myself by transforming other people’s lives. — Me@2010.09.21

I’m really good at

… being amazing. — Me@2010.09.21

The first things people usually notice about me

I am always with my Palm computer. — Me@2010.09.21

Favorite books, movies, shows, music, and food

Contact(超時空接觸)

Life is Beautiful(一個快樂的傳說)

Back to the Future(回到未來)

— Me@2000

I spend a lot of time thinking about

Physics and Love

Dear Mrs. Chown,

Ignore your son’s attempts to teach you physics. Physics isn’t the most important thing. Love is.

Best wishes,
Richard Feynman

— Me@2010.09.21

The most private thing I’m willing to admit

The secret to creativity is knowing how to hide your sources.

— Albert Einstein

You should message me if

… you are curious about the world and you value joy, truth, beauty and justice more than “success”.

— Me@2010.09.21, Based on Richard Stallman

.

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2011.03.05 Saturday (c) ACHK

Binomial Theorem 1.2

所以,如果你想驗算的話,你可以代(例如) x = 0.003217 入左右兩邊,看看左右兩邊是否數值非常近似。

LHS :

RHS :

如果左右兩邊的頭幾個對應數字都相同的話,你的方程式答案

就有很大機會正確。

用這個驗算方法,選擇 x 的數值時,有一些地方要留意。

第一, x 一定要是在 1 和 -1 之間的數字。

第二, x 千萬不要代一些公整的數字。太公整的話,例如 0 和 0.5 等,你很可能會「撞中答案」。即使左右兩邊的數字答案非常接近,你也不能確定,那是因為你的運算正確,還是只是巧合。

第三, x 不要太大。太大的話,例如 0.3217,即使你的方程式答案正確,左右兩邊的數字答案亦未必會接近。

第四, x 不要太小。太小的話,例如 0.000003217,你會校對不到右手邊方程式最後一項()的係數(281)是否正確。

— Me@2011.03.04

2011.03.05 Saturday (c) All rights reserved by ACHK