Stirling numbers of the second kind: Difference between revisions
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{{FormulaeEntry|page=https://formulae.org/?script=examples/Stirling_numbers_of_the_second_kind}} |
{{FormulaeEntry|page=https://formulae.org/?script=examples/Stirling_numbers_of_the_second_kind}} |
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'''Solution''' |
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'''Version 1. Recursive''' |
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[[File:Fōrmulæ - Stirling numbers of the second kind 01.png]] |
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'''Test case 1. Show the Stirling numbers of the second kind, S₂(n, k), up to S₂(12, 12)''' |
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[[File:Fōrmulæ - Stirling numbers of the second kind 02.png]] |
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[[File:Fōrmulæ - Stirling numbers of the second kind 03.png]] |
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'''Version 2. Non recursive''' |
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A faster, non recursive version is presented. This construct a matrix. |
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[[File:Fōrmulæ - Stirling numbers of the second kind 04.png]] |
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'''Test case 1. Show the Stirling numbers of the second kind, S₂(n, k), up to S₂(12, 12)''' |
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[[File:Fōrmulæ - Stirling numbers of the second kind 05.png]] |
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(the result is the same as recursive version) |
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'''Test case 2. Find the maximum value of S₂(n, k) where n ≤ 100''' |
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[[File:Fōrmulæ - Stirling numbers of the second kind 06.png]] |
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[[File:Fōrmulæ - Stirling numbers of the second kind 07.png]] |
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=={{header|Go}}== |
=={{header|Go}}== |
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