Mar 5, 2011 · 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.

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.

Dec 13, 2016 · 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. …

However, the middle signs in set builder (or quantifier) notation are not really catch-all replacements for the words "such that".

The (bad) notation $ (a,b)$ is often used for the greatest common divisor; somebody uses $ [a,b]$ for the lowest common multiple. Why are they bad, in particular the former? Because $ (a,b)$ …

Dec 9, 2019 · When writing the domain of a function, in set builder notation, how does one correctly write the set of all real numbers? E.g. for f(x) = 3x+2 f (x) = 3 x + 2, which of the …

Apr 20, 2016 · 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.

To summarize what has been said in the comments, there are no "official" symbols. Use whichever notation you feel most comfortable with, as long as it makes sense and can be …

Sep 11, 2017 · Sometimes $\mathbb {N}_0$ is used to denote the natural numbers including zero, so this notation may be ambiguous.

In mathematical notation, what are the usage differences between the various approximately-equal signs "≈", "≃", and "≅"? The Unicode standard lists all of them inside the Mathematical …