Oct 3, 2018 · 50 If the book distinguishes between $\subset$ and $\subseteq$, then most likely the former symbol denotes proper inclusion, so $\ {0\}\subset\ {0\}$ is false. The latter symbol …

Oct 25, 2020 · Other authors prefer to use the symbols ⊂ and ⊃ to indicate proper (also called strict) subset and proper superset respectively; that is, with the same meaning and instead of …

Jan 22, 2015 · Bottom line: use of $\subset$ meaning proper subset is ill-advised in any case because it creates confusion. Use either $\subset$ for subset and (if absolutely necessary) …

Oct 12, 2015 · I think the "modern way," as implied by the partial-order nature of subsets, would be to use $\subseteq$ for any subset and $\subset$ for proper subset, paralleling to $\leq$ …

Dec 22, 2020 · This has caused the symbol " $\subset$ " to become ambiguous, and authors tend to want to avoid it. To describe the relation "proper subset", they instead use the symbol " …

Apr 15, 2017 · I'm a pedant and prefer to use $\subset$ for proper subset, whereas $\subsetneq$ is convention for proper subsets. I disagree that $\subseteq$ is used to represent improper …

Jul 25, 2017 · So A can equal B. There's only one A for a given B such that A is a subset of B, but not a proper subset of B. "Improper subset" is a funny, uncommon way of describing two sets …

Jun 3, 2020 · So, that means that the symbol $\subseteq$ is just used as a general subset symbol, which would include both proper and improper subsets of the given set, right? But, …

The Unicode name of $\subsetneqq$ is purely descriptive of what the symbol looks like: It is a “subset of” symbol ($\subset$) above a “not equal” symbol ($\neq$); hence the name is …

Jan 14, 2015 · However, the symbol $\subseteq$ means that a set can be contained in itself as well, for example, $$ [0,1] \subseteq [0,2]$$ and $$ [0,2] \subseteq [0,2].$$ This page …