On when to use coordinates and other concrete constructions in mathematics, and when to use coordinate-free formulations and abstractions:
1. If your priority is to perform computations in mathematics, use coordinates and concrete constructions.
2. If your priority is to generalize to as broad a range of use cases as possible, use coordinate-free formulations and abstractions.
3. If your priority is to actually understand what is going on behind the mathematical formalism, learn how the coordinate-based and coordinate-free approaches are equivalent.
Terence Tao /
npub1hs…m7r3k
2025-05-05 18:58:26
Author Public Key
npub1hsf727dlfy55vvm5wuqwyh457uwsc24pxn5f7vxnd4lpvv8phw3sjm7r3kPublished at
2025-05-05 18:58:26Event JSON
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