Power set: Difference between revisions
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{{FormulaeEntry|page=https://formulae.org/?script=examples/Power_set}} |
{{FormulaeEntry|page=https://formulae.org/?script=examples/Power_set}} |
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'''Solution''' |
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No program needed. Power set is intrinsically supported in Fōrmulæ. |
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'''Case 1.''' Power set of the set {1, 2, 3, 4} |
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[[File:Fōrmulæ - Power set 01.png]] |
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[[File:Fōrmulæ - Power set 02.png]] |
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'''Case 2.''' The power set of the empty set is the set which contains itself. |
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[[File:Fōrmulæ - Power set 03.png]] |
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[[File:Fōrmulæ - Power set 04.png]] |
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'''Case 3.''' The power set of the set which contains only the empty set, has two subsets, the empty set and the set which contains the empty set |
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[[File:Fōrmulæ - Power set 05.png]] |
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[[File:Fōrmulæ - Power set 06.png]] |
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'''Case 4.''' Even when it is intrinsically supported, a program can be written: |
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[[File:Fōrmulæ - Power set 07.png]] |
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[[File:Fōrmulæ - Power set 08.png]] |
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[[File:Fōrmulæ - Power set 09.png]] |
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=={{header|GAP}}== |
=={{header|GAP}}== |
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