@GFauxPas If you take $\log$ of a complex number, then its real and imaginary parts will be the modulus and the argument respectively of said complex number.
let be $N(x) = \sum\limits_{d|p - 1} {\mu \left( d \right)} {F_x}(d)$ that $p$ is a prime number and ${F_x}(d) = \frac{{{x^2}}}{{4d}} + O(x{p^{\frac{1}{2}}})$
that $x+1=g(p)$ and $g(p)$ is the least primitive root modulo $p$. Applying Brun's method to $N(x)$ in conjunction with ${F_x}(d)$ in orde...
@TheGreatDuck Analytic functions are conformal i.e. preserve angles. So if the Re and Im contours of $f(z)$ are orthogonal, then so are the Re and Im contours of $\log f(z)$.
to be honest, there have been many times where I'd claim "I know nothing about that" and then after looking a few minutes the old high school archives kick in and I remember a bunch of things I didn't even realize I knew. XD
though I don't think I've ever learned of electric potential. I would assume it is the potential for a jump of static electricity?
electric and magnetic forces are distinct from gravitational forces.
for one, the former tend to be a lot stronger than the latter. but you have both attraction and repulsion with electric force, whereas you only have attraction for gravitation.
You want to care about the strengths of the charges which produce the background, but not the strength of the charge that you're using to probe it. That's why electric potential / electric fields are nice.
@Null idk, but I know that if it has anything to do with the performance of the brain then there are many ways to decrease it through actions accidental or otherwise.