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Math & Algorithms

The most popular blog posts about math & algorithms on Hacker News. 103 posts.

2012
73

Map Simplification with Visvalingam's Algorithm

An interesting challenge in cartography is getting data of the appropriate resolution. As Lewis Fry Richardson observed , the more precisely you measure the length of a coastline, the longer it appears; geographic shapes have infinite complexity. Digital displays, in contrast, are limited by pixels. Choosing too high…

79

Gödel's Incompleteness Theorem explained

This theorem is one of the most important proven in the twentieth century. Here are a few brief selections that will help you start to understand it. Gödel’s original paper “On Formally Undecidable Propositions” is available in a modernized translation . It’s also in print from Dover in a nice, inexpensive edition …

84

Incremental Regular Expressions

This article was originally published in the Russian functional programming journal http://fprog.ru/ and this translation was intended to be published in Peter Seibel’s http://codequarterly.com/ journal, but as Peter eventually decided not to proceed with the journal, I am publishing it on my personal space.