Real world implemention of text book Algorithms

As posted by @alessandro on IRC:

This list is a compilation of those “core algorithms” students have to implement in theory during studies in the real world. Also coming with its real world implications and imperfections. But yes, they are actually implemented in the real world – just they are not the hard problems we have in Computer Science nowadays :wink: .

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And for anyone who needs a good textbook, I have been using this one:

(yes, there is a far less legal torrent available as well)