Mar 18, 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.

Aug 5, 2023 · 2 It's just notation, you shouldn't think so hard about it. At some point we were gonna run out of symbols. In any case, if you have set theory as a foundation, everything is a set formally by …

Aug 19, 2015 · 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 …

Dec 9, 2019 · 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" …

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. For example, the …

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 Operators Block.

Jun 25, 2014 · I have started seeing the "∈" symbol in math. What exactly does it mean? I have tried googling it but google takes the symbol out of the search.

Feb 20, 2013 · 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.

What is the "standard" way to denote all positive (or non-negative) real numbers? I'd think $$ \\mathbb R^+ $$ but I believe that that is usually used to denote "all real numbers including infinit...

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 …