超難Maths問題

oscar

Find i^i.
i is imaginary unit.

snoopy11hk

wt is the ans???

oscar

Originally posted by snoopy11hk at 2005-1-20 22:42:
..F.3 題??
....wt is the ans??

form3咁難就嚇死人啦....
我個friend係form4嫁...
佢對數學好有興趣~

snoopy11hk

..F.3 題??
....wt is the ans??

oscar

Originally posted by ericfong at 2005-1-19 20:22:

夠竟個答覆係唔係咁姐T_T我要同阿哥講番ga

我唔知呀...
我要問番我個friend先知...

snoopy11hk

車里厘.....你點識 ga????? .....你唔係 F.2 ga 咩???
..............好 tough ar....

貝貝☆

Originally posted by ericfong at 2005-1-19 12:10 AM:
我阿哥唔係用google ga-.-
step:
e^(ix)=cis x
put x =pi/2+2n pi

禁下cal機
finished

[ Last edited by ericfong on 2005-1-19 at 12:18 AM ]

夠竟個答覆係唔係咁姐T_T我要同阿哥講番ga

貝貝☆

我阿哥唔係用google ga-.-
step:
e^(ix)=cis x
put x =pi/2+2n pi

禁下cal機
finished

[ Last edited by ericfong on 2005-1-19 at 12:18 AM ]

Royal

Originally posted by oscar at 2005-1-18 07:19 PM:

錯...
答案並非一個數值來的~

i^i = 0.207879576
用google計數機計出來的…""

順帶一提(要睡覺了)，根據「數學論壇」對這條數的研究，
i^i = e^(-pi/2)
其實同S生提供的那個答案很像已相近了(我還未學過這類數)，
（S生提供的答案為 i^i = e^(-2n(pi)-(pi)/2) , n is an integer）
而再用google計數機，e^(-pi/2) = 0.207879576…""
不過我無法在google計e^(-2n(pi)-(pi)/2)

詳情數式可參考：
http://mathforum.org/epigone/sci ... @posting.google.com

賣廣告：google真係好好用(個系統唔好再話我爆粗！）

抹茶可樂

但根據某網的計算器，是那個值，而且標明是「Real」的