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Oct 16, 2021 · Abuse of notation is a technique of using a system of symbology in a way different from that for which it was originally defined. Such abuse may make a train of thought more streamlined, as it is often possible to save considerable redefinition of one's terms.
Dec 24, 2012 · In mathematics, abuse of notation occurs when an author uses a mathematical notation in a way that is not formally correct but that seems likely to simplify the exposition or suggest the correct intuition (while being unlikely to introduce errors or cause confusion).
In mathematics, abuse of notation occurs when an author uses a mathematical notation in a way that is not entirely formally correct, but which might help simplify the exposition or suggest the correct intuition (while possibly minimizing errors and confusion at the same time).
Given that "event" has the type "subset of Ω", and random variable has the type "function with domain Ω", and probability measure has the type "function with domain the set of events", this convention is fairly unambiguous. One might even call it "notation" rather than "abuse of notation" :)
The goal is to marry everyone: every man must marry exactly one woman and vice-versa—no polygamy. More-over, we would like to find a matching between men and women that is stable in the sense that there is no pair of people who prefer one another to their spouses.
Jan 28, 2021 · f (x) is the result of applying the function f to an object x. I think that by far the most common form of abuse of notation is conflating a structure with its underlying set. If you have a group G, for instance, you'll write x ∈ G to mean that x is an element of the underlying set of G.
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Jul 11, 2009 · Marriage, meaning the institution regulating sex, reproduction, and family life, is a route into classical philosophical issues such as the good and the scope of individual choice, as well as itself raising distinctive philosophical questions. Political philosophers have taken the organization of sex and reproduction to be essential to the ...