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python_demo.pdf
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python_demo.pdf
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Python Demonstration
MATH1900: Machine Learning
Location: http://people.sc.fsu.edu/∼jburkardt/classes/ml 2019/python demo/python demo.pdf
“Two flies land at random on a square piece of paper. On average, how far apart are they?”
Python Demo
How can we use a programming language like Python to:
• create a model of a mathematical problem;
• carry out a procedure to solve the problem;
• graphically illustrate the solution.
Python is widely used for machine learning;
• it can be used interactively;
• a user can create new Python commands that extend the language;
• libraries are available for numerics, scientific computing, graphics;
• many machine learning packages have been built using Python.
The problem we will consider involves estimating the average distance of two flies who randomly settle on
a square piece of paper. This particular problem can be solved analytically, but we are interested in how
Python can simulate the problem, estimate the answer, and produce convincing tables and plots. We are
studying a random process, and trying to say something (the average) about a huge number of cases.
Let’s start by trying to simulate a single case.
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