Commit 2d6cc7cb authored by Raffaele Grosso's avatar Raffaele Grosso
Browse files

Improve plot in Python notebook

parent 0a9abf6f
......@@ -491,21 +491,21 @@
``` python
import numpy as np
import matplotlib.pyplot as plt
# next line to embed figures in the notebook without opening a new window
%matplotlib inline
x = np.arange(0,4,0.1)
ysin = np.sin(x)
ycos = np.cos(x)
plt.plot(ysin)
plt.plot(ycos)
x = np.arange(-np.pi, np.pi, 0.05)
sinx = np.sin(x)
cosx = np.cos(x)
plt.plot(x, sinx)
plt.plot(x, cosx)
plt.show()
```
%%%% Output: display_data
![](data:image/png;base64,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)
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)
%% Cell type:markdown id: tags:
### b)
......@@ -539,30 +539,30 @@
``` python
birth_months = {"Einstein":3, "Hawking":1, "Newton":1, "Franklin":1, "Darwin":2, "Curie":11, "Pasteur":12,
"Copernicus":1, "Fleming":8, "Nobel":10, "Mendelev":2, "Bohr":10, "Mendel":7, "Faraday":9,
"Watson":4, "Hubble":11, "Feynman":5, "Rutherford":8}
labels = ['Jan', 'Feb', 'Mär', 'Apr', 'Mai', 'Jun', 'Jul', 'Aug', 'Sep', 'Oct', 'Nov', 'Dec']
xpos = np.arange(0.5, 13, 1.0) # the bins argument of hist is the list of bin edges, first and last included
xpos = np.arange(0.5, 12.6, 1) # the bins argument of hist is the list of bin edges, first and last included
plt.hist(birth_months.values(), xpos)
plt.xticks(xpos+0.5, labels, rotation='vertical')
```
%%%% Output: execute_result
([<matplotlib.axis.XTick at 0x7f4f5f2c8d30>,
<matplotlib.axis.XTick at 0x7f4f5f3be550>,
<matplotlib.axis.XTick at 0x7f4f5f2fb1d0>,
<matplotlib.axis.XTick at 0x7f4f5f2814a8>,
<matplotlib.axis.XTick at 0x7f4f5f281b00>,
<matplotlib.axis.XTick at 0x7f4f5f288198>,
<matplotlib.axis.XTick at 0x7f4f5f2887f0>,
<matplotlib.axis.XTick at 0x7f4f5f288e80>,
<matplotlib.axis.XTick at 0x7f4f5f28e550>,
<matplotlib.axis.XTick at 0x7f4f5f28ebe0>,
<matplotlib.axis.XTick at 0x7f4f5f2932b0>,
<matplotlib.axis.XTick at 0x7f4f5f293940>,
<matplotlib.axis.XTick at 0x7f4f5f293fd0>],
([<matplotlib.axis.XTick at 0x7f9b408ca400>,
<matplotlib.axis.XTick at 0x7f9b409b4518>,
<matplotlib.axis.XTick at 0x7f9b4096aac8>,
<matplotlib.axis.XTick at 0x7f9b408f9ba8>,
<matplotlib.axis.XTick at 0x7f9b40881240>,
<matplotlib.axis.XTick at 0x7f9b40881898>,
<matplotlib.axis.XTick at 0x7f9b40881ef0>,
<matplotlib.axis.XTick at 0x7f9b408885c0>,
<matplotlib.axis.XTick at 0x7f9b40888c50>,
<matplotlib.axis.XTick at 0x7f9b4088d320>,
<matplotlib.axis.XTick at 0x7f9b4088d9b0>,
<matplotlib.axis.XTick at 0x7f9b40894080>,
<matplotlib.axis.XTick at 0x7f9b40894710>],
<a list of 12 Text xticklabel objects>)
%%%% Output: display_data
![](data:image/png;base64,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)
......@@ -574,11 +574,11 @@
%% Cell type:code id: tags:
``` python
mu = 100; sigma = 15 #mean and sigma of the gaussian
np.random.seed(19340867)
sim_data = mu + np.random.randn(600) * sigma # 600 random values generated from a standard normal
sim_data = mu + np.random.randn(6000) * sigma # 600 random values generated from a standard normal
n_bins = 50
fig, ax = plt.subplots()
n, bins, patches = ax.hist(sim_data, n_bins, density=1)
#as 'best fit' line use the gaussian used to generate the simulated data
y = 1 / (np.sqrt(2 * np.pi) * sigma) * np.exp(-0.5 * ((bins - mu)/sigma)**2)
......@@ -592,6 +592,12 @@
plt.show()
```
%%%% Output: display_data
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)
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)
%% Cell type:code id: tags:
``` python
```
......
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