Average multiple curves

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Imports

The tutorial below imports NumPy, Pandas, and SciPy.

import plotly.plotly as py
import plotly.graph_objs as go
from plotly.tools import FigureFactory as FF

import numpy as np
import pandas as pd
import scipy

Average of 2 Curves

Given two curves defined by functions $f$ and $g$ on $\mathbb{R} \rightarrow \mathbb{R}$, the average curve $h$ of $f$ and $g$ is defined by $h = \frac{f(x) + g(x)}{2} $ for $x \in \mathbb{R}$.

x = np.linspace(0, 2*np.pi, 100)
f = np.sin(x)
g = np.cos(x)
h = [(f[j] + g[j])/2 for j in range(len(x))]

trace1 = go.Scatter(
    x=x,
    y=f,
    mode='lines',
    name='f(x)',
    marker=dict(
        color='rgb(220, 20, 60)'
    )
)

trace2 = go.Scatter(
    x=x,
    y=g,
    mode='lines',
    name='g(x)',
    marker=dict(
        color='rgb(100, 149, 237)'
    )
)

trace3 = go.Scatter(
    x=x,
    y=h,
    mode='markers+lines',
    name='Average of f and g',
    marker=dict(
        color='rgb(128, 0, 128)',
        symbol='diamond-open',
    )
)

data = [trace1, trace2, trace3]
py.iplot(data, filename='2-curves')

from IPython.display import display, HTML

display(HTML('<link href="//fonts.googleapis.com/css?family=Open+Sans:600,400,300,200|Inconsolata|Ubuntu+Mono:400,700" rel="stylesheet" type="text/css" />'))
display(HTML('<link rel="stylesheet" type="text/css" href="http://help.plot.ly/documentation/all_static/css/ipython-notebook-custom.css">'))

! pip install git+https://github.com/plotly/publisher.git --upgrade
import publisher
publisher.publish(
    'python_Average_Multiple_Curves.ipynb', 'python/average_multiple_curves/', 'Average Multiple Curves | plotly',
    'Learn how to average the values of multiple curves with Python.',
    title='Average Multiple Curves in Python | plotly',
    name='Average Multiple Curves',
    language='python',
    page_type='example_index', has_thumbnail='false', display_as='mathematics', order=9,
    ipynb= '~notebook_demo/107')
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