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This is indeed much better. I couldn't really follow the original, but this one made it click. Pretty cool!
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I feel like neither of these just give actual formal definitions, which would be much clearer.
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Surely there is a middle ground between a book length treatment and whatever the linked page was that fails to give a definition or motivation.
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Another resource I found in HN discussions: https://latypoff.com/tree-calculus-visualized/
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