Reading the book 'An Introduction To Continuous Optimization', I ran across the $\subseteq$ notation, but with the little bar crossed over with a small $45^o$ dash - only the bar, not the whole symbol. I don't know how to do it in latex but I hope you get the idea.

What does this mean?


Do you mean $\subsetneq$?

It's used by some to denote a proper subset and is used instead of $\subset$.

  • $\begingroup$ Yep, that's the one. Is it equivalent with $\subset$? $\endgroup$ Oct 30 '14 at 9:47
  • 1
    $\begingroup$ @BenjaminLindqvist Yes, although sometimes when $\subsetneq$ is used $\subset$ will be used for standard inclusion (proper or not), so be careful. I have never seen $\subsetneq$ used to refer to anything other than proper inclusion however. $\endgroup$
    – Benjamin
    Oct 30 '14 at 9:49
  • $\begingroup$ This book mixes all three. Seems weird. $\endgroup$ Oct 30 '14 at 9:51
  • $\begingroup$ @BenjaminLindqvist Really? It might be using $\subsetneq$ for emphasis. $\endgroup$
    – Benjamin
    Oct 30 '14 at 9:54

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