## 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)))
```

statistics — Mathematical statistics functions — Python 3.8.5 , This module provides functions for calculating mathematical statistics of Single mode (most common value) of discrete or nominal data. mean([1, 2, 3, 4, 4]) 2.8 >>> mean([-1.0, 2.5, 3.25, 5.75]) 2.625 >>> from If the smallest or largest of those is desired instead, use min(multimode(data)) or max(multimode(data)) . In another Python Patterns column, I will try to analyze their running speed and improve their performance, at the cost of more code. UPDATE: Eryk Kopczyński pointed out that these functions are not optimal. To the contrary, "this program runs in exponential time, while find_shortest_path can be done in linear time using BFS [Breadth First

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()
```

max() and min() in Python, This function is used to compute the minimum of the values passed in its argument and lexicographically smallest value if strings are passed as� Distance between two Vertices: It is the number of edges in the shortest path between two vertices. Let us try to calculate the distance between vertices A and D: Possible paths between A and D are: AB -> BC -> CD AD AB -> BD Out of these three paths, AD is the shortest having only one edge. Hence, the distance between A and D is 1.

Python Advanced: Graph Theory and Graphs in Python, This code generates the following output, if combined with the previously defined graph The following Python function calculates the isolated nodes of a given graph: Edges are represented as sets with one (a loop back to the vertex) or two vertices We want to find now the shortest path from one node to another node. A Computer Science portal for geeks. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions.

Python Statistics Fundamentals: How to Describe Your Data – Real , You'll find out how to describe, summarize, and represent your data 5 Python + Matplotlib examples with full source code that you can use as a The function mean() and method .mean() from NumPy return the u = [2, 3, 2, 8, 12] >>> mode_ = max((u.count(item), item) for item in set(u)) >>> mode_ 2. A Computer Science portal for geeks. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions.

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• @DirtyBit that will not work, because you have to use `max` on an iterable. You are using it on a function.