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?

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 an obviou...

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 starting …

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 definition of a dot …

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 makes bridges …

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 is that …

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 and in signals …

Complex power of a complex number [closed] Ask Question Asked 12 years, 4 months ago Modified 8 months ago

It is useful in many deep areas of mathematics, but as a starting point, it serves as a solution to x2 + 1 = 0 x 2 + 1 = 0. I recommend looking deeper into the theory of complex numbers, particularly the polar …

Jan 19, 2013 · Complex numbers straight line proof Ask Question Asked 12 years, 11 months ago Modified 12 years, 11 months ago