Jul 7, 2023 · In the introductory complex analysis course I am taking, nearly every theorem relates to rotation and argument. Why do complex numbers love doing this so much? I can …

Mar 22, 2024 · Alright, so I just wanted to establish the fact that in your system $|a+bi|$ is allowed to take a complex number, but its value is not necessarily a real number. The important point …

May 12, 2015 · The square root of i is (1 + i)/sqrt (2). [Try it out my multiplying it by itself.] It has no special notation beyond other complex numbers; in my discipline, at least, it comes up about …

Jun 9, 2011 · 82 The square root is not a well defined function on complex numbers. Because of the fundamental theorem of algebra, you will always have two different square roots for a …

How to raise a complex number to the power of another complex number? Ask Question Asked 15 years, 1 month ago Modified 5 months ago

May 9, 2014 · Explore related questions complex-numbers definition See similar questions with these tags.

May 10, 2014 · A complex number can be treated as a kind of multivector existing in a 2-d geometric algebra (GA). Seen this way, the answer to your question is that you can indeed …

Mar 5, 2020 · We can do calculus with complex numbers (differentiation and integration), unlike $\Bbb {R}^2$ (actually, we can differentiate in $\Bbb {R}^2$, but it is a different notion to …

The exponentiation of complex numbers involves some very beautiful geometry! We could do this through some algebraic manipulation easily enough, but it is more interesting for us to try and …

Why do you multiply a complex number by its complex conjugate to get rid of it in a fraction? Ask Question Asked 14 years, 8 months ago Modified 7 years, 7 months ago