Why is a range of a function commonly designated as E(x)? I can understand that domain of a function is written as D(x), but I could not find similar reason about range. If it is derived from latin, could you name the original term?
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2Is that standard? Don't think I've seen it...seems like terrible notation as the range (and domain) obviously depend on $f$, not on $x$ in any way. Can you give some links to where it is used? – lulu Sep 16 '18 at 12:32
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2I have never seen this "common designation". Can you edit the question to post at least one example, with surrounding text and a reference? I've seen $D$ for domain, but never $D(x)$. Where did you see that? – Ethan Bolker Sep 16 '18 at 12:33
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1Like others commenting, I’ve never seen particular notation like this used for domain and range of a function, so I’ll just guess that someone thought to use $E$ because it’s the letter that comes after $D$. But as noted, $D(x)$ is rather awful notation for the domain of $f$, because the domain of $f$ is not a function and $D(x)$ looks like a function. – Steve Kass Sep 16 '18 at 12:39
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I agree with the above comments; no "standard" symbols for Domain and Range. – Mauro ALLEGRANZA Sep 16 '18 at 12:53
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1Sometimes, when reading a textbook, the student assumes the notation particular to that book are "standard" notations used also elsewhere. – GEdgar Sep 16 '18 at 13:02
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Maybe useful Exactly who popularized the modern definition of domain and codomain of functions? – Mauro ALLEGRANZA Sep 16 '18 at 13:07
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Sorry, it sertainly was E(f). In all russian books this letter is used and i try to understand why. – Elena Gerasimenko Sep 20 '18 at 09:46