Friday, August 26, 2016

complex numbers - Why Can my Phone Calculator do episqrt1 but not sqrt1?


When I type in the identity eπ1 on my phone calculator (LG phone running Android), I get the correct result of 1


However, when I simply type 1, it returns an error.


Why can the calculator do eπ1, but not do 1 if 1 is a direct part of eπ1?


Answer



eπ1=cosπ+1sinπ=1+0=1 which is a real number


BUT


1=i is a complex number with a zero real part and a non-zero imaginary part.



Computation of complex numbers is possible in any calculator but showing the results containing imaginary numbers is not possible except in certain high-grade calculators.


No comments:

Post a Comment

analysis - Injection, making bijection

I have injection f:AB and I want to get bijection. Can I just resting codomain to f(A)? I know that every function i...