Jan 24, 2013 · 50 Complex numbers are used in electrical engineering all the time, because Fourier transforms are used in understanding oscillations that occur both in alternating current …

Complex numbers involve the square root of negative one, and most non-mathematicians find it hard to accept that such a number is meaningful. In contrast, they feel that real numbers have …

Feb 24, 2015 · Your second question was how does one go about parametrizing in the Complex plane. Draw the plot. Determine the direction of motion--counter clockwise or clockwise. Pick a …

May 9, 2014 · I've been working with this identity but I never gave it much thought. Why is $ |z|^2 = z z^* $ ? Is this a definition or is there a formal proof?

Is there an existing formula to raise a complex number to a power? That is, I want to compute $(1 + i)^N$. I basically want to write a function like so: def raiseComplexNumberToPower(float …

They're respectively addition and multiplication. For these two mappings the axioms of a field are satisfied (why?). The field thus written is what is called the field of the complex numbers …

Oct 6, 2017 · This complex "dot product" is sometimes called a Hermitian form. This specific separate term serves as a way to make it clear that it might not comply with the usual …

Nov 27, 2020 · Then it is well defined on the complex plane as well and Euler's formula gives us its real and imaginary parts. However Euler's formula still valid for any complex number and …

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 …

May 11, 2015 · 11 There are multiple ways of writing out a given complex number, or a number in general. Usually we reduce things to the "simplest" terms for display -- saying $0$ is a lot …