Difference between revisions of "Index of notation/R"

Latest revision as of 13:19, 8 January 2016

Expression	Status	Meanings	See also
[ilmath]\mathbb{R} [/ilmath]	current	Real numbers
[ilmath]\mathbb{R}_+[/ilmath]	dangerous	See [ilmath]\mathbb{R}_+[/ilmath] (notation) for details on why this is bad. It's a very ambiguous notation, use [ilmath]\mathbb{R}_{\ge 0} [/ilmath] or [ilmath]\mathbb{R}_{>0} [/ilmath] instead.	[ilmath]\mathbb{R}_{\ge 0} [/ilmath] [ilmath]\mathbb{R}_{> 0} [/ilmath]
[ilmath]\mathbb{R}_{\ge 0} [/ilmath]	recommended	[ilmath]:=\{x\in\mathbb{R}\ \vert\ x\ge 0\}[/ilmath], recommended over the dangerous notation of [ilmath]\mathbb{R}_+[/ilmath], see details there.	[ilmath]\mathbb{R}_+[/ilmath] [ilmath]\mathbb{R}_{>0} [/ilmath]
[ilmath]\mathbb{R}_{>0} [/ilmath]	recommended	[ilmath]:=\{x\in\mathbb{R}\ \vert\ x>0[/ilmath], recommended over the dangerous notation of [ilmath]\mathbb{R}_+[/ilmath], see details there.	[ilmath]\mathbb{R}_+[/ilmath] [ilmath]\mathbb{R}_{\ge 0} [/ilmath]
[ilmath]\mathbb{R}_{\le x},\ \mathbb{R}_{\ge x} [/ilmath], so forth	recommended	Recommended notations for rays of the real line. See Denoting commonly used subsets of [ilmath]\mathbb{R} [/ilmath]	[ilmath]\mathbb{R}_+[/ilmath]