Quod Erat Demonstrandum

2012/07/26

TED talks by Brian Greene

Filed under: Fun,Physics — johnmayhk @ 9:37 上午
Tags:

Is our universe the only universe?

Making sense of string theory

2012/07/25

根中根

Filed under: Additional / Applied Mathematics,HKCEE,NSS — johnmayhk @ 11:40 上午

易知

\sqrt{3+\sqrt{8}}=1+\sqrt{2}

\sqrt{3+\sqrt{7}}

卻「不能」如上例作「進一步運算」。

於是學生曾問,甚麼樣的無理數 (more…)

2012/07/18

[舊文] 數學是發明還是發現?

Filed under: Fun — johnmayhk @ 10:37 上午

數學是發明還是發現?
在各領域都如此有用的數學,是人類發明的工具?還是人類發現的寶藏?
撰文/利維歐(Mario Livio)
翻譯/翁秉仁

重點提要

■ 最深刻的謎團往往存在於我們最習以為常的事物。大多數人從不曾細思科學家為何用數學來描述並解釋世界,但究竟為何如此?
■ 數學概念的發展雖然純粹是基於抽象的理由,卻能解釋真實現象。正如物理學家魏格納所言,如此好用的數學「是我們既不能理解也不配擁有的美好禮物。」
■ 謎團之一是:數學是發明(人類心智的創造)還是發現(獨立於我們的存在物)?作者認為兩者皆是。

大多數人認為數學 (more…)

2012/07/17

數學電影 trailers

Filed under: Fun — johnmayhk @ 4:01 下午

1.The colors of Mathematics

2.Travelling Salesman


http://www.travellingsalesmanmovie.com/

2012/07/16

1/998001

Filed under: Fun — johnmayhk @ 3:22 下午

Justin 傳來一個有趣結果:

\frac{1}{998001}

= 0.000001002003004005006007008009010011012...

想繼續看小數點後位數,可往

http://www.wolframalpha.com/input/?i=1%2F998001

按 “more digits" 便可。

同學也觀察到小數位,當中依次出現了

000, 001, 002, 003, …

(會否出現 999?1000? (more…)

2012/07/07

[FW] Math Encounters — Soap Bubbles and Mathematics — Frank Morgan (Presentation)

Filed under: Fun — johnmayhk @ 4:29 下午

Enter the whimsical world of bubbles and learn how deep mathematical truths are hidden within their shimmering surfaces. Join mathematician Frank Morgan for an evening of demonstrations, prizes, and hands-on creation of bubbles in surprising shapes.

Morgan received a special introduction by Pradeep Mutalik, author of Numberplay, the New York Times’ weekly math puzzle.

Math Encounters is a public presentation series celebrating the spectacular world of mathematics and presented by the Simons Foundation and the Museum of Mathematics. For further information, call the Museum of Mathematics at (212) 542-0566 or e-mail mathencounters@momath.org.

Video created by Peter Barton.

More at

http://www.youtube.com/user/MuseumOfMathematics/videos

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