Programming languages is a rapidly growing with many practical and relevant applications.
Mathematics, Bernoulli Triangles, complex number
    Bernoli ComplexNumber

Mathematics, Science and Programming

I teach in Mathematics and programming languages and provides courses on programming, and Object Technology.This is a general overview of Mathematics and programming languages used in teaching high school students.

Mathematics complex number
z==x+iy can be written (x,y)
z==x+iy Through the Euler formula, a complex number  may be written in "phasor" form   z==|z|(costheta+isintheta)==|z|e^(itheta).   |z|=sqrt(x^2+y^2)  and phi=tan^(-1)(y/x)..

Double pendula

Double pendula are an example of a simple physical system which can exhibit chaotic
The equations of motion can also be written in the Hamiltonian formalism. Computing the generalized momenta gives
Hamiltonian equations: