# Function Explorer

Here you can freely explore graphs of complex functions. Variables accessible in the freely editable formula are $a,b,c,d,e, A, B, C, D$ Where $a,b,c,d$ depend on the position of the colored points $A,B,C,D$. The dependence is $\definecolor{red}{RGB}{255,0,0} \definecolor{green}{RGB}{0,255,0} \definecolor{blue}{RGB}{0,0,255} \definecolor{yellow}{RGB}{200,200,0} \color{red} a=z-A, \color{green} b=z-B, \color{blue} c=z-C, \color{yellow} d=z-D.$ Here $z$ is the location in the image. Variable $e$ is a real scalar that can be adjusted between $-1$ and $+1$ and time is the time in seconds.

 $f(z)=$ a*b*c*d (z-B)/A (z-A)^2 (z-A)*(z-B) (z-A)^3 (z-A)*(z-B)*(z-C) (1-a)*(1+a) a/b z^(2*A) (sin(a)/sin(b))^(1+i) Julia set Mandelbrot set Convergence of Geometric series Newton Newton-like Cylindrical anamorphosis Repeat real Repeat imaginary Mirror