Notebook

Test Markdown¶

Text text text negreta text text text cursiva text text text codi text text text. Text text text negreta text text text cursiva text text text codi text text text. ext text text negreta text text text cursiva text text text codi text text text. Text text text negreta text text text cursiva text text text codi text text text. Text text text negreta text text text cursiva text text text codi text text text. ext text text negreta text text text cursiva text text text codi text text text.

Cita cita cita cita cita cita negreta cita cita cita cita cita cursiva cita cita cita cita cita codi cita cita cita cita cita. Cita cita cita cita cita cita negreta cita cita cita cita cita cursiva cita cita cita cita cita codi cita cita cita cita cita. Cita cita cita cita cita cita negreta cita cita cita cita cita cursiva cita cita cita cita cita codi cita cita cita cita cita.

Títol nivell 2¶

Títol nivell 3¶

Títol nivell 4¶

llista nivell 1
llista nivell 2
llista nivell 3

primer llista numerada
segon llista numerada

Imatge web:¶

Enllaç web UB:¶

Equacions en MathJax:¶

$$ z = \frac{x}{y} $$
on $$ y =\sum_{i=0}^\infty \frac{1}{i!}x^i $$

Blocs de codi font:¶

for val in range(1,10,2):
    print val

Test Llibreria `turtle`¶

El següent codi ha de generar un finestra emergent amb una imatge com aquesta

In [1]:

import turtle

def poligon(turtle, size, segments=4):
    """Draws a poligon with a turtle.
    The segments have a length of size.
    The number of segments can be also modified."""   
    angle = 360./segments   
    for i in range(segments):
        turtle.forward(size)
        turtle.left(angle)
        
wn = turtle.Screen()        # Set up the window and its attributes
wn.screensize(250, 250)
wn.setup(width=280, height=280)
wn.bgcolor("gray")
wn.title("Test turtle")

alex = turtle.Turtle()      # Create turtle named alex

size = 50 #Poligon size

alex.color('red', 'red')
poligon(alex, size) #Draw a red square

alex.color('blue', 'blue')
poligon(alex, size, 5) # Draw a blue pentagon

alex.color('orange', 'orange')
poligon(alex, size, 6) # Draw an orange hexagon

alex.color('yellow', 'yellow')
poligon(alex, 10, 40) # Draw nearly a yellow circle

wn.exitonclick()

Test IPython 1.0 `raw_input()`¶

In [4]:

# Verifiqueu que el següent codi demana un text per pantalla 
#  el retorna imprès
nom = input("Introdueix el teu nom: ")
print("> El teu nom és", nom)

Introdueix el teu nom: 12
> El teu nom és 12

Test Llibreria `matplotlib`¶

In [8]:

%pylab inline
import matplotlib.pyplot as plt
from numpy import sqrt
x = range(0, 100) 
plt.plot(x, sqrt(x), '-', linewidth=2)

Populating the interactive namespace from numpy and matplotlib

WARNING: pylab import has clobbered these variables: ['size']
`%matplotlib` prevents importing * from pylab and numpy

Out[8]:

[<matplotlib.lines.Line2D at 0xaf46e16c>]

Test Llibreria `numpy`¶

In [10]:

def solve_lin_sys(mat, vec):
    """Solves linear system mat·sol = vec
    by direct inversion with numpy functions"""    
    sol = inv(mat).dot(vec)
    return sol

A = array([[1., 2., 3.],[5., 3., 7.],[9., 1., 6.]])
b = array([1., 3., 5.])
x = solve_lin_sys(A,b)

print("A:" , A)
print("b:" , b)
print("x:", x)

A: [[ 1.  2.  3.]
 [ 5.  3.  7.]
 [ 9.  1.  6.]]
b: [ 1.  3.  5.]
x: [ 0.81818182  0.90909091 -0.54545455]

Test Llibreria `sympy`¶

In [12]:

from IPython.display import Latex
import sympy

x=sympy.Symbol('x')
y=sympy.Symbol('y')
f=(x+2*y**3)**2

print("Standard output:")
print(f)
print(f.diff(y))
print(f.diff(x))
print(f.diff(x).diff(x))
print(f.diff(y).diff(x))

Latex(r'Latex output: \begin{eqnarray} f(x,y) = '+ sympy.latex(f) 
      + r'\\ \frac{\partial f(x,y)}{\partial x}=' + sympy.latex(f.diff(x)) 
      + r'\\ \frac{\partial f(x,y)}{\partial y}=' + sympy.latex(f.diff(y)) 
      + r'\\ \frac{\partial^2 f(x,y)}{\partial^2 x}='+ sympy.latex(f.diff(x).diff(x)) 
      + r'\\ \frac{\partial^2 f(x,y)}{\partial x \partial y}='+ sympy.latex(f.diff(y).diff(x)) 
      + r'\end{eqnarray}')

Standard output:
(x + 2*y**3)**2
12*y**2*(x + 2*y**3)
2*x + 4*y**3
2
12*y**2

Out[12]:

Latex output: \begin{eqnarray} f(x,y) = \left(x + 2 y^{3}\right)^{2}\\ \frac{\partial f(x,y)}{\partial x}=2 x + 4 y^{3}\\ \frac{\partial f(x,y)}{\partial y}=12 y^{2} \left(x + 2 y^{3}\right)\\ \frac{\partial^2 f(x,y)}{\partial^2 x}=2\\ \frac{\partial^2 f(x,y)}{\partial x \partial y}=12 y^{2}\end{eqnarray}