This is just a test of nbconvert.py

In [1]:

%pylab inline
x = linspace(0, 2*pi)

Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.zmq.pylab.backend_inline].
For more information, type 'help(pylab)'.

In [2]:

plot(x, sin(x), label=r'$\sin(x)$')
plot(x, cos(x), 'ro', label=r'$\cos(x)$')
title(r'Two familiar function')

Out [2]:

<matplotlib.text.Text at 0x105507cd0>

In [3]:

%load_ext sympyprinting

/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/nose/plugins/manager.py:418: UserWarning: Module dateutil was already imported from /Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/dateutil/__init__.pyc, but /Users/yaboo/src/matplotlib/lib is being added to sys.path
  import pkg_resources
/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/nose/plugins/manager.py:418: UserWarning: Module six was already imported from /Users/yaboo/src/matplotlib/lib/six.pyc, but /Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages is being added to sys.path
  import pkg_resources
/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/IPython/extensions/sympyprinting.py:119: UserWarning: The sympyprinting extension in IPython is deprecated, use sympy.interactive.ipythonprinting
  warnings.warn("The sympyprinting extension in IPython is deprecated, "

In [4]:

import sympy as sym
from sympy import *
x, y, z = sym.symbols("x y z")

In [5]:

Rational(3,2)*pi + exp(I*x)/(x**2 + y)

Out [5]:

$$\frac{3}{2} \pi + \frac{e^{\mathbf{\imath} x}}{x^{2} + y}$$

In [6]:

eq = ((x+y)**2 * (x+1))
eq

Out [6]:

$$\left(x + 1\right) \left(x + y\right)^{2}$$

In [7]:

expand(eq)

Out [7]:

$$x^{3} + 2 x^{2} y + x^{2} + x y^{2} + 2 x y + y^{2}$$

In [8]:

diff(cos(x**2)**2 / (1 + x), x)

Out [8]:

$$- 4 \frac{x \sin{\left (x^{2} \right )} \cos{\left (x^{2} \right )}}{x + 1} - \frac{\cos^{2}{\left (x^{2} \right )}}{\left(x + 1\right)^{2}}$$

You can italicize, boldface

build

list

and embed code meant for illustration instead of execution in Python:

def f(x):
    """a docstring"""
    return x**2

or other languages:

In [9]:

from IPython.display import Image
Image(filename=u'/Users/yaboo/Downloads/hoge.jpeg')

Out [9]:

In [10]:

from IPython.display import YouTubeVideo
YouTubeVideo('iwVvqwLDsJo')

Out [10]:

In [11]:

%%ruby
puts "Hello from Ruby #{RUBY_VERSION}"

Hello from Ruby 1.8.7

In [12]:

%%bash
echo "hello from $BASH"

hello from /bin/bash

In [13]:

%load_ext rmagic
X = np.array([0,1,2,3,4])
Y = np.array([3,5,4,6,7])

In [14]:

%%R -i X,Y -o XYcoef
XYlm = lm(Y~X)
XYcoef = coef(XYlm)
print(summary(XYlm))
par(mfrow=c(2,2))
plot(XYlm)

Call:
lm(formula = Y ~ X)

Residuals:
   1    2    3    4    5 
-0.2  0.9 -1.0  0.1  0.2 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)  
(Intercept)   3.2000     0.6164   5.191   0.0139 *
X             0.9000     0.2517   3.576   0.0374 *
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 0.7958 on 3 degrees of freedom
Multiple R-squared:  0.81, Adjusted R-squared: 0.7467 
F-statistic: 12.79 on 1 and 3 DF,  p-value: 0.03739 

In [42]:

XYcoef

Out [42]:

[ 3.2  0.9]

In [16]:

load_ext cythonmagic

In [17]:

%%cython -lm
from libc.math cimport sin
print 'sin(1)=', sin(1)

sin(1)= 0.841470984808