Inline math: $ax^2+bx+c=0$

Another equation:

$$ x_{1,2} = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a} $$

Aligned equations:

$$ \begin{align} x &= A (\cos \theta - v \sin \theta)\\ y &= B (\sin \theta + v \cos \theta)\\ z &= C \varepsilon v. \end{align} $$

now some code:

import numpy as np
for i in np.arange(10):
    print(np.sin(i))