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- notation - What does the function f: x ↦ y mean? - Mathematics Stack . . .
the notation $\mapsto$ ("maps to", an arrow with a bar at its tail) There is another arrow-symbol, which also used for mapping $\rightarrow$, which might be a bit confusing The difference between two (as it is mentioned in the linked answer , as well as in the answer by MathEnthusiast ):
- Much less than, what does that mean? - Mathematics Stack Exchange
Would I have to rewrite this as $$\sum_{n\leq x}d(n)-x\log x\ll x,$$ i e the rhs must purely relate to the Big O notation when using $\ll$ ? $\endgroup$ – pshmath0 Commented Oct 10, 2019 at 5:13
- notation - Symbol for “such that” (not in set) - Mathematics Stack Exchange
A better, but less common, notation is $\varepsilon$ (formatted with $\varepsilon$) You can find answers and comments related to that latter symbol $\varepsilon$ in the linked posts You can find answers and comments related to that latter symbol $\varepsilon$ in the linked posts
- notation - Math Symbol for Where - Mathematics Stack Exchange
They are integral parts of larger notations which don't have any individual formal meaning -- the fact that expressing the entire notation in English sometimes involves saying "such that" between the things the symbol stands between in the symbolic form doesn't make those words into a definition of the symbol $\endgroup$ –
- notation - What does := mean? - Mathematics Stack Exchange
$\begingroup$ I was aware of Pascal using :=, but not the others I think it is possible that the language designers of that time where influenced by maths (as has happened a number of times), but := is so far the only easily typable symbol mentioned here, so it is perfectly reasonable to assume it stems from programming languages in the first place
- notation - What does ∈ mean? - Mathematics Stack Exchange
Another possible notation for the same relation is {\displaystyle A\ni x,} A\ni x, meaning "A contains x", though it is used less often The negation of set membership is denoted by the symbol "∉" Writing {\displaystyle x\notin A} x\notin A means that "x is not an element of A"
- notation - Correct way for writing domain of a function - Mathematics . . .
The notation $\{x \in \mathbb{R} \}$ is a little ambiguous, but would probably be understood As Eike Schulte points out, there is something missing—either the "selection criterion" which tells you how you are choosing element of $\mathbb{R}$ , or you are specifying the name and domain of some variable which will be acted on by some selection
- notation - What is the mathematical symbol for range? - Mathematics . . .
An unsophisticated question from a neophyte: Given the numbers: $1,2,3,4,5$ What is the symbol for the range of the numbers? i e the lowest-highest number in the set For example, the min max
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