- notation - What does := mean? - Mathematics Stack Exchange
It's one common notation for stating that the left-hand side is defined as (in contrast to equal to) the expression on the right-hand side
- notation - What does the function f: x ↦ y mean? - Mathematics Stack . . .
So, is there any scenario where you would need to use the "↦" notation instead of "=" notation? If your answer is a full explanation, it seems to me that ↦ is entirely useless
- notation - The best symbol for non-negative integers? - Mathematics . . .
The set of natural numbers $\ {0,1,2,\dots\}$ is often denoted by $\omega$ There are two caveats about this notation: It is not commonly used outside of set theory, and it might not be recognised by non-set-theorists In "everyday mathematics", the symbol $\mathbb N$ is rarely used to refer to a specific model of the natural numbers
- 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
- notation - Math Symbol for Where - Mathematics Stack Exchange
However, the middle signs in set builder (or quantifier) notation are not really catch-all replacements for the words "such that"
- 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
- notation - Name of a vector of 1s? - Mathematics Stack Exchange
8 It's not quite common enough to have a standard notation, but a reasonably well-accepted notation would be something like 1n = (1, 1, …, 1) ∈Rn 1 n = (1, 1,, 1) ∈ R n, and if you needed a column vector then you'd write 1⊺ n 1 n ⊺ It may sometimes be called the 1-vector of size n n or a size n n vector of 1s
- 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
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