By Allen B. Downey
Expand your Python talents through operating with facts constructions and algorithms in a fresh context—through an eye-opening exploration of complexity technological know-how. no matter if you’re an intermediate-level Python programmer or a pupil of computational modeling, you’ll delve into examples of complicated platforms via a chain of routines, case reports, and easy-to-understand explanations.
You’ll paintings with graphs, set of rules research, scale-free networks, and mobile automata, utilizing complicated positive factors that make Python any such strong language. excellent as a textual content for classes on Python programming and algorithms, Think Complexity also will aid self-learners achieve invaluable adventure with themes and concepts they may not stumble upon otherwise.
* paintings with NumPy arrays and SciPy equipment, uncomplicated sign processing and quickly Fourier rework, and hash tables
* research summary versions of advanced actual platforms, together with energy legislation, fractals and crimson noise, and Turing machines
* Get starter code and ideas that will help you re-implement and expand unique experiments in complexity
* discover the philosophy of technology, together with the character of clinical legislation, conception selection, realism and instrumentalism, and different themes
* study case experiences of complicated platforms submitted by way of scholars and readers
Read or Download Think Complexity: Complexity Science and Computational Modeling PDF
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Extra info for Think Complexity: Complexity Science and Computational Modeling
If you take the logarithm of both sides of this equation, you get: log f = log c − s log r So if you plot log f versus log r, you should get a straight line with slope −s and intercept log c. 1. Write a program that reads a text from a file, counts word frequencies, and prints one line for each word, in descending order of frequency. You can test it by downloading an out-ofcopyright book in plain text format from ❣✉t❡♥❜❡r❣✳♥❡t. You might want to remove punctuation from the words. If you need some help getting started, you can download t❤✐♥❦❝♦♠♣❧❡①✳ ❝♦♠✴ P♠❢✳ ♣② , which provides an object named ❍✐st that maps from value to frequencies.
To test your function, use ❡①♣♦✈❛r✐❛t❡ from the r❛♥❞♦♠ module to generate 100 values from an exponential distribution. Plot the CCDF on a log-y scale and see if it falls on a straight line. 4 Pareto distributions The Pareto distribution is named after the economist Vilfredo Pareto, who used it to describe the distribution of wealth; see ❤tt♣✿✴✴❡♥✳✇✐❦✐♣❡❞✐❛✳♦r❣✴✇✐❦✐✴P❛r❡t♦❴ ❞✐str✐❜✉t✐♦♥. Since then, people have used it to describe phenomena in the natural and social sciences including sizes of cities and towns, sand particles and meteorites, forest fires and earthquakes.
A generative model tries to explain a phenomenon by modeling the process that builds or leads to the phenomenon. In this case Watts and Strogatz proposed a process for building small-world graphs: 1. Start with a regular graph with n nodes and degree k. Watts and Strogatz start with a ring lattice, which is a kind of regular graph. You could replicate their experiment or try instead a graph that is regular but not a ring lattice. 2. Choose a subset of the edges in the graph and “rewire” them by replacing them with random edges.
Think Complexity: Complexity Science and Computational Modeling by Allen B. Downey