Set notation: Difference between revisions

Revision as of 08:35, 15 June 2017

Revision as of 11:25, 15 June 2017

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== Denoting a set as an object ==

Where it is desirable to refer to a set as an indivisible entity, one typically denotes it by a single capital letter. In referring to an arbitrary, generic set, a typical notational choice is {{math|''S''}}. When several sets are being discussed simultaneously, they are often denoted by the first few capitals: {{math|''A''}}, {{math|''B''}}, {{math|''C''}}, and so forth. By convention, particular symbols are reserved for the most important setsets of numbers:

:{{math|'''∅'''}} – [[empty set]] (also <math>\emptyset</math> or <math>\varnothing</math> or {{math|&#123;&#125;}} are common)

– [[empty set]] (also <math>\emptyset</math> or <math>\varnothing</math> or {{math|&#123;&#125;}} are common)

:{{math|'''Z'''}} – [[integer]]s (from ''Zahl'', German for ''[[number]]'').

:{{math|'''N'''}} – [[natural number]]s