Information AboutSubset |
| CATEGORIES ABOUT SUBSET | |
| basic concepts in set theory | |
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In Mathematics , especially in Set Theory , a Set ''A'' is a subset of a set ''B'', if ''A'' is "contained" inside ''B''. The relationship of one set being a subset of another is called '''inclusion'''. Every set is a subset of itself. More formally, If ''A'' and ''B'' are Set s and every Element of ''A'' is also an element of ''B'', then:
or equivalently
If ''A'' is a subset of ''B'', but ''A'' is not Equal to ''B'', then A is also a proper (or '''strict''') '''subset''' of ''B''. This is written as ''A'' ⊂ ''B''. In the same way, ''B'' ⊃ ''A'' means that B is a '''proper superset''' of ''A''. | ||
| For The | "http://wwwinformationdelightinfo/encyclopedia/entry/power_set" class="copylinks">Power Set of a set ''S'', the inclusion partial order is (up to an Order-isomorphism ) the Cartesian Product of ''S'' (the Cardinality of ''S'') copies of the partial order on {0,1}, for which 0 < 1 |
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