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Good notation certainly aids understanding, but math is a vast endeavor where the details matter. In switching from one programming language to another, often a
by kaitai 11y ago
Good notation certainly aids understanding, but math is a vast endeavor where the details matter. In switching from one programming language to another, often a rough understanding of corresponding concepts is enough: how to print has different details in different languages but it's not that different, and the details are easy to look up. On the other hand, just switching from topology to symplectic geometry involves asking entirely different questions -- having different values and pursuing different goals. Maybe it's more like switching from web dev to scientific computing as well as switching languages.
Yes, a lot of mathematical papers are incomprehensible to others in the field. But it's not just because of notation. You wouldn't ask a content marketer who is great at A/B testing to deal with tweaking something in the linux kernel because it's all "computers".