請詳細說明答案。
更新1:
(2) i^i 的是有理數還是無理數？
數學知識交流---求值
回答 (5)
2011-08-13 5:48 pm
2011-08-15 7:23 pm
To ☂雨後陽光☀ ,
Why you said i^i 的值有無限個答案 ?
Why you said i^i 的值有無限個答案 ?
2011-08-14 2:53 am
From the Euler’s Rule,
e^( iπ)+1=0
e^(iπ)= -1
e^(iπ)=i^2
e^(-π)=i^2i
i^i=e^(-π/2)
e^( iπ)+1=0
e^(iπ)= -1
e^(iπ)=i^2
e^(-π)=i^2i
i^i=e^(-π/2)
2011-08-13 8:13 pm
i^i 的值有無限個答案!!
2011-08-13 3:11 pm
i^i is called a transcendental number and = e^(- pi/2). See wikipedia on transcendental number.
收錄日期: 2021-04-21 22:22:04
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20110812000051KK01061