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 …

Oct 3, 2018 · A ⊂ B A ⊂ B means that A A is a proper subset of B B (every element of A A is an element of B B, but A ≠ B A ≠ B). However, many people use A ⊂ B A ⊂ B to simply mean that …

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) …

Dec 22, 2020 · to mean that A is a proper subset of B (that is A is a subset of B, but A ≠ B). People who write A ⊂ B for “ subset, equality possibly happening ” will probably use this …

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 $\leq$ …

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 …

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 …

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 …

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

The symbol ⊂ ⊂ can be ambiguous. A ⊂ B A ⊂ B usually allows the possibility that A = B A = B, but some authors use it to mean that A A is a proper subset of B B, so that A ⊂ B A ⊂ B …