physics chemistry maths science forums
become expert I help I sign up I login
refer a friend - earn nickels!!   
 advanced
 
Home
Ask & Discuss Questions
Study Material
Experts Zone
Hang Out!

Ask & Discuss Questions with Community & Experts

Moderation Team
 90 chars left    advanced
Ask iit jee aieee pet cbse icse state board community Community Discussion Question: value of i raise to power i where i is
Forum Index -> Algebra like the article? email it to a friend.  
Author Message
ratish13 (0)

New kid on the Block

Olaaa!! Perrrfect answer. 0  [0 rates]

ratish13's Avatar

total posts: 6    
offline Offline
value of i raise to power i where i is
    
dream_iit (233)

Blazing goIITian

Olaaa!! Perrrfect answer. 37  [61 rates]

dream_iit's Avatar

total posts: 743    
offline Offline
if i is iota ans is e^ -pi/2

<div style="font-family:arial,sans-serif;font-size:11px;">
 this reply: 0 points  (with Olaaa!! Perrrfect answer.   in 0 votes )   [?]
 
You have to be logged on to rate
  
shubham_sachdeva (1867)

Blazing goIITian

Olaaa!! Perrrfect answer. 323  [449 rates]

shubham_sachdeva's Avatar

total posts: 1180    
offline Offline
use euler's formulaeone time...
e^ i. (pie/2).i
i.i = -1
i^i = e^-pie/2

padhna likhna chad de mitra , nakal te rakhi aas , chak chaddar te so ja bhagta , Rabb karega tennu paas.....

PLZ NEVER EVER RATE ME FOR MY ANSWERS , IF U WANT TO COMPLIMENT ME THEN JUST BEAT UR HEAD & SAY
"YEH KIS PAGAL NE MERA QN. SOLVE KER DIYA"

I AM SERIOUS!!!!
EVEN SERIOUS ^ INFINITY
PLZZZZZZ NEVER RATE ME....HOPE U WILL UNDERSTAND....

Shubham

 this reply: 2 points  (with Olaaa!! Perrrfect answer.   in 1 votes )   [?]
 
You have to be logged on to rate
  
venkat_tatolu (213)

Scorching goIITian

Olaaa!! Perrrfect answer. 27  [66 rates]

venkat_tatolu's Avatar

total posts: 234    
offline Offline
Let Z=ii and taking log to the base e on both sides,then
 
  log(z)=ilog(i)
 
           =i.iPi/2=-pi/2       (Since i=eipi/2)
 
      z=e-pi/2

***T.Venkat***
 this reply: 2 points  (with Olaaa!! Perrrfect answer.   in 1 votes )   [?]
 
You have to be logged on to rate
  
vidyun_dusa (82)

Cool goIITian

Olaaa!! Perrrfect answer. 14  [20 rates]

vidyun_dusa's Avatar

total posts: 78    
offline Offline
is logarithm defined for complex nos??

Cogito, ergo sum

Life laughs at you when you are sad
Life smiles with you when you are happy
But life salutes you when you make others happy
........... Chalie Spencer Chaplin
 this reply: 0 points  (with Olaaa!! Perrrfect answer.   in 0 votes )   [?]
 
You have to be logged on to rate
  
shubham_sachdeva (1867)

Blazing goIITian

Olaaa!! Perrrfect answer. 323  [449 rates]

shubham_sachdeva's Avatar

total posts: 1180    
offline Offline
@vidyun_dusa

no logarithms are only defined for real no.s///
domain (0,infinity)

padhna likhna chad de mitra , nakal te rakhi aas , chak chaddar te so ja bhagta , Rabb karega tennu paas.....

PLZ NEVER EVER RATE ME FOR MY ANSWERS , IF U WANT TO COMPLIMENT ME THEN JUST BEAT UR HEAD & SAY
"YEH KIS PAGAL NE MERA QN. SOLVE KER DIYA"

I AM SERIOUS!!!!
EVEN SERIOUS ^ INFINITY
PLZZZZZZ NEVER RATE ME....HOPE U WILL UNDERSTAND....

Shubham

 this reply: 0 points  (with Olaaa!! Perrrfect answer.   in 0 votes )   [?]
 
You have to be logged on to rate
  
nadeemoidu (1184)

Blazing goIITian

Olaaa!! Perrrfect answer. 200  [292 rates]

nadeemoidu's Avatar

total posts: 487    
offline Offline
Logarithm is defined for complex nos. also.
if z=x+iy
log(z)= log |z| + i tan-1(y/x)
 this reply: 4 points  (with Olaaa!! Perrrfect answer.   in 2 votes )   [?]
 
You have to be logged on to rate
  
venkat_tatolu (213)

Scorching goIITian

Olaaa!! Perrrfect answer. 27  [66 rates]

venkat_tatolu's Avatar

total posts: 234    
offline Offline
U are right nadeemoidu.

In the real field Logarithm domain is (0,infinity).

In the complex field domain of logarithm is C (Set of complex nos.)

***T.Venkat***
 this reply: 2 points  (with Olaaa!! Perrrfect answer.   in 1 votes )   [?]
 
You have to be logged on to rate
  
 
Forum Index -> Algebra
Go to:   

Top Offers for goIITians
Correspondence Courses
Brilliant Tutorials
Narayana Institute
Aakash Institute
Classroom/Crash Courses
Narayana - Kota , Delhi , Others
Brilliant Tutorials - Class , Crash
Aakash Institute - Medical , Engg
Online Test Series
Brilliant Tutorials
Narayana Institute
Aakash Institute
Mahesh Tutorials
AMITY      Sri Chaitanya