It’s not really late summer unless you’re armed with an apple and a good book. There’s been a recent slew of incredible books utilizing the capabilities of the Wolfram Language that make sure your coding knowledge never stops growing and your reading list stays stocked. (And be sure to check the farmers’ market for those apples.)
Date Archive: 2018 July
One of the many beautiful aspects of mathematics is that often, things that look radically different are in fact the same—or at least share a common core. On their faces, algorithm analysis, function approximation and number theory seem radically different. After all, the first is about computer programs, the second is about smooth functions and the third is about whole numbers. However, they share a common toolset: asymptotic relations and the important concept of asymptotic scale.
By comparing the “important parts” of two functions—a common trick in mathematics—asymptotic analysis classifies functions based on the relative size of their absolute values near a particular point. Depending on the application, this comparison provides quantitative answers to questions such as “Which of these algorithms is fastest?” or “Is function a good approximation to function g?”. Version 11.3 of the Wolfram Language introduces six of these relations, summarized in the following table.
A couple of weeks ago I shared a package for controlling the Raspberry Pi version of Minecraft from Mathematica (either on the Pi or from another computer). You can control the Minecraft API from lots of languages, but the Wolfram Language is very well aligned to this task—both because the rich, literate, multiparadigm style of the language makes it great for learning coding, and because its high-level data and computation features let you get exciting results very quickly.Today, I wanted to share four fun Minecraft project ideas that I had, together with simple code for achieving them. There are also some ideas for taking the projects further.
The standard Raspbian software on the Raspberry Pi comes with a basic implementation of Minecraft and a full implementation of the Wolfram Language. Combining the two provides a fun playground for learning coding. If you are a gamer, you can use the richness of the Wolfram Language to programmatically generate all kinds of interesting structures in the game world, or to add new capabilities to the game. If you are a coder, then you can consider Minecraft just as a fun 3D rendering engine for the output of your code.