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2023
1412

Symmetry in Chaos

The following is based upon systems of equations found in "Symmetry in Chaos, A Search for Pattern in Mathematics, Art, and Nature" (the second edition) by Michael Field and Martin Golubitsky. They ask the question whether there are aperiodic chaotic attractors that generate symmetric patterns? Can there be order…

1434

There is no hard takeoff

Back in 2014, Elon Musk referred to AI as summoning the demon. And it wasn’t hard to see that view. Soon, Go agents would beat top humans learning from self play. By the end of 2017, the same algorithm mastered Chess and Shogi. By 2020, it didn’t even need tons of calls to the simulator, and could play Atari too.

1438

Sorting in Emacs

In this article, we will perform a series of hands-on experiments that demonstrate the various Emacs commands that can be used to sort text in different ways. There is sufficient documentation available for these commands in the Emacs and Elisp manuals. In this article, however, we will take a look at some concrete…