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2bornot2b
Group Title
What is the difference between exp(z) and \(e^z\). z is complex.
 2 years ago
 2 years ago
2bornot2b Group Title
What is the difference between exp(z) and \(e^z\). z is complex.
 2 years ago
 2 years ago

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imranmeah91 Group TitleBest ResponseYou've already chosen the best response.0
I didn't know there was any
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
notation i think unless i am sadly mistaken they are the same
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.0
no difference  they are synonyms
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
since exponents can get pretty messy; the exp(...) notation is for clarity
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
the of exp(..) as a similar notation to log(...)
 2 years ago

2bornot2b Group TitleBest ResponseYou've already chosen the best response.0
I have a book which defines exp(z) as \(e^x(cos y +isiny) \) where z=x+iy and it defines \(e^z~as~exp(z~Log~e)\) where Log is used to denote the multivalued Logarithmic function
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
is Log e = 1?
 2 years ago

2bornot2b Group TitleBest ResponseYou've already chosen the best response.0
\(Logz=e^{logr}+i\theta +2ni\pi\) where \(z=r(cos\theta+isin\theta)\)
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
http://math.furman.edu/~dcs/courses/math39/lectures/lecture17.pdf this might be useful
 2 years ago

2bornot2b Group TitleBest ResponseYou've already chosen the best response.0
So Log e is a multivalued function. It has an infinite number of values and 1 is one of the values it takes.
 2 years ago

2bornot2b Group TitleBest ResponseYou've already chosen the best response.0
Can you all guide me somewhere, like a book or may be an user of OS, who can help on this
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
actually as i recall the notation Log is single values whereas log is multivalued, but i could be wrong
 2 years ago

2bornot2b Group TitleBest ResponseYou've already chosen the best response.0
Yes, right, that is why I mentioned it
 2 years ago

2bornot2b Group TitleBest ResponseYou've already chosen the best response.0
So as to avoid any confusion. @satellite73 you are right, but some books write it the other way round.
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
\[\log(z)=\ln(z)+i\theta\] for any \(\theta\) whereas \[Log(z)=\ln(x)+i\theta\] for \[\pi\leq\theta\leq\pi\]
 2 years ago

2bornot2b Group TitleBest ResponseYou've already chosen the best response.0
@Zarkon can you help please?
 2 years ago

2bornot2b Group TitleBest ResponseYou've already chosen the best response.0
@amistre64 You have provided a great link. So I choose your answer as the best answer.
 2 years ago
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