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I agree. I find that it's easier to read and write math when the notation is ambiguous, but clear in a context shared by both the reader and writer. Even in the
by llamaz 9y ago
I agree. I find that it's easier to read and write math when the notation is ambiguous, but clear in a context shared by both the reader and writer. Even in the english language, it's up to the author to gauge the audience and decide how ambiguous they want to make their sentence. If you want to be fully precise you end up with sentences like "for every epsilon greater than zero there exists a delta greater than zero such that for all x if the difference between x and y is less than zero then the difference between f(x) and f(y) is less than epsilon".
The author is prematurely optimizing math - is Leibniz notation _really_ going to cause problems, or ambiguity with the meaning of parenthesis. Out of all the things that cause me difficulties with math, notation is the least significant. If notation _is_ a problem, then that means that I don't know what I'm doing.
If you really need to be specific, there are plenty of ways to do so using the English language.