The number of iterations of x → x-√x to get to 0 is approximately 2√x - ln(x)/4 - 1. For sufficiently large x, this approximation differs from known true values by approximately 0.069555. The meaning of this constant is a mystery (to me).

#math #maths #mathematics

I am now Schrödinger's adult. I have been on this Earth for considerably more than 40 years, but because I have not verified this with an unknown third party whose motives may change at any time, I cannot possibly be one.

A pretty variant of the Mandelbrot fractal that looks like a bee! The name "Mandelbee" doesn't seem to be taken so that's what I'm calling it. #math #maths #fractal #mandelbrot #mandelbee

Is it always the case that for multiples of 12 (except 12 itself), there exists at least one pair of primes p and q that not only sum to that multiple of 12, but also that their difference is twice a prime?

#math #maths #Goldbach

The upside to writing a #Perl or #Python program to parse STDIN is that with one change, the code can deal with UTF8 text. The equivalent #C needs to be rewritten to use entirely different underlying functions.

The downside is that sometimes it's 100 times slower than the equivalent C program(s).

What algebra is it where there's an element ε such that ε² = -ε, but that ε is not 0 or -1?

Does this have a name? Specifically or generally.

#maths #math (1/2)

Where there's a will, there's a way.

Where there are two, there's a war.

First post. I also have accounts elsewhere that I forget to post on too. Whee!