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I was thinking more along the lines of a hash map.

Printed dictionaries are basically ordered lists with metadata, so look-ups are O(lg n), and by a human no less!

Online dictionaries are likely to be backed by, well, a dictionary, which allows for O(1) look-ups.

I learned a lot of Category Theory from The Catsters.

Absolutely. Even though it takes a bit longer, I prefer it to flying precisely because I can work the whole time rather than wait in long lines for TSA pageantry.

That doesn't sound like differential equations, it sounds like discrete math.