## What is the shortest Python code to get a maximum from the two discrete functions?

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For given two discrete functions like this:

y1 = lambda(x): x**2 y2 = lambda(x): (x-1.5)*10 x1 = np.linspace(0,12,50) x2 = np.linspace(1,10,12) plot(x1, y1(x1), '.-') plot(x2, y2(x2), '.-')

what is the shortest Python code to get the maximum of them?

Something like:

x = np.sort(np.r_[x1, x2]) y = np.maximum(np.interp(x, x1, y1(x1)), np.interp(x, x2, y2(x2)))

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Well you just need to use the built-in `max`

function on the y values.

f1max = max([y1(x) for x in x1]) f2max = max([y2(x) for x in x2])

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I would do this as:

#!/usr/bin/env ipython # ------------------- import numpy as np import matplotlib as mpl mpl.use('TKAgg'); from pylab import plot,show # --------------------- y1 = lambda(x): x**2 y2 = lambda(x): (x-1.5)*10 x1 = np.linspace(0,12,50) x2 = np.linspace(1,10,12) # -------------------- ymax=np.max((y1(x1),y2(x1)),axis=0) plot(x1, y1(x1), '.-') plot(x2, y2(x2), '.-') plot(x1, ymax, 'k',lw=2.0) show()

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##### Comments

- What is the one that you've tried?
- you mean the max for every point?
- Yes, in each point. Note, the functions defined at different points.
- @DirtyBit that will not work, because you have to use
`max`

on an iterable. You are using it on a function. - Oh, yes iterate over it for each point!
- Thanks! Amazing python!