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avatar+9674 

What is ii?

 Nov 25, 2016

Best Answer 

 #1
avatar+26396 
+5

What is 

ii ?

 

Formula:

z=a+ibln(z)=ln(|z|)+iArg(z)Arg(z)=φln(a+ib)=ln(a2+b2)+iarctan(ba)

 

ii=eiln(i)

 

z=i=0+i1|a=0b=1ln(i)=ln(0+i1)=ln(02+12)+iarctan(10)=ln(1)+iarctan(10)|ln(1)=0=0+iarctan(10)|arctan(10)=π2=0+iπ2=iπ2

 

ii=eiln(i)=eiiπ2=ei2π2|i2=1=eπ2=0.20787957635

 

laugh

 Nov 25, 2016
 #1
avatar+26396 
+5
Best Answer

What is 

ii ?

 

Formula:

z=a+ibln(z)=ln(|z|)+iArg(z)Arg(z)=φln(a+ib)=ln(a2+b2)+iarctan(ba)

 

ii=eiln(i)

 

z=i=0+i1|a=0b=1ln(i)=ln(0+i1)=ln(02+12)+iarctan(10)=ln(1)+iarctan(10)|ln(1)=0=0+iarctan(10)|arctan(10)=π2=0+iπ2=iπ2

 

ii=eiln(i)=eiiπ2=ei2π2|i2=1=eπ2=0.20787957635

 

laugh

heureka Nov 25, 2016
 #2
avatar
+5

ıı=(eıπ2)ı=eπ2.

.
 Nov 25, 2016

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