#!/usr/bin/env python
# coding: utf-8

# Neki primjeri korištenja LaTeXa unutar IPython notebooka
# ======
# 
# neka lista
# 
# - sdgfsg
# - sgsfjgdfg
# - sdgjdfgh

# Ovo je matematika
# $$\begin{align}
# a & = b + c\\
# b +c & = 1+2+3+4+5+6
# \end{align}$$

# I ovo
# $$
# \left. f(x) \right\rvert_{x=0} = 0
# $$

# I ovo
# $$
# \begin{aligned}
# u_x&=v_y\\\\ u_y&=-v_x
# \end{aligned}
# $$

# $$
# \begin{bmatrix}
# 1 & 2 & 3 & \ldots &  n \\
# 2 & 3 & 4 & \ldots & n \\
# \vdots & \vdots & \vdots & \ddots & \vdots \\
# n & n+1 & n+2 & \ldots & 2n
# \end{bmatrix}
# $$

# $$\begin{multline*}
# e^x=1+x+ ... +\frac{x^8}{8!}\\
# +\frac{x^9}{9!}+\frac{x^{10}}{10!}
# \end{multline*}$$

# $$
# \begin{equation}
# e^{i\pi}=-1
# \end{equation}
# $$

# $$ \overbrace{a+b+\cdots+z}^n
# \qquad 
# \underbrace{1\cdot 2\cdots n}_{n!}$$

# $$ x\mathbin\Box y=x^2+y^2$$

# $$ V=\{ x\in\mathbb{N}\colon x \text{ je potencija broja }2\}$$

# $$ \sqrt{2-\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2}}}}}$$

# $$
# \begin{align}
#    F( z ) & = \sum^\infty_{n=0} f_n z^n             \\
#      & = z + \sum^\infty_{n=2}(f_{n-1}+f_{n-2}) z^n \\
#      & = z + F( z )/z + F( z )/z^2                  \\
#      & = z / (1 - z - z^2)                          \,.
# \end{align}
# $$

# $\alpha$