There’s a lot more to the Wolfram Language than we’ve been able to cover in this book. Here’s a sampling of just a few of the many topics and areas that we’ve missed.
User Interface Construction
Set up a tabbed interface:
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User interfaces are just another type of symbolic expression; make a grid of sliders:
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Function Visualization
Plot a function:
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3D contour plot:
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Mathematical Computation
Do symbolic computations, with x as an algebraic variable:
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Get symbolic solutions to equations:
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Do calculus symbolically:
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Display results in traditional mathematical form:
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Use 2D notation for input:
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Numerics
Minimize a function inside a spherical ball:
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Make a plot using the approximate function:
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Geometry
The area of a disk (filled circle) of radius r:
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Find a circle going through three points:
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Make a shape by “shrinkwrapping” around 100 random points in 3D:
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Algorithms
Find the shortest tour of the capitals of Europe (traveling salesman problem):
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Factor a big number:
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Logic
Make a truth table:
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Find a minimal representation of a Boolean function:
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The Computational Universe
Run my favorite example of a very simple program with very complex behavior:
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RulePlot shows the underlying rule:
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Chemical & Biological Computation
Enter a specification of a molecule:
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Make a 3D representation of the molecule:
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Draw the corresponding molecule:
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Building APIs
Deploy a simple web API that finds the distance from a specified location:
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Create embeddable code for an external Java program to call the API:
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Document Generation
Documents are symbolic expressions, like everything else:
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Evaluation Control
Hold a computation unevaluated:
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Release the hold:
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Systems-Level Operations
Run an external process (not allowed in the cloud!):
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Encrypt anything:
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Parallel Computation
I’m running on a 28-core machine:
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Sequentially test a sequence of (big) numbers for primality, and find the total time taken:
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Doing the same thing in parallel takes considerably less time:
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