Category:Cyclic order (mathematics)
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English: In mathematics, a cyclic order is a way to arrange a set of objects in a circle. It is defined as a ternary relation [a, b, c], meaning "after a, one reaches b before c". For example, [June, October, February].
ternary relation that is cyclic (if [𝑥,𝑦,𝑧] then [𝑧,𝑥,𝑦]), asymmetric (if [𝑥,𝑦,𝑧] then not [𝑧,𝑦,𝑥]), transitive (if [𝑤,𝑥,𝑦] and [𝑤,𝑦,𝑧] then [𝑤,𝑥,𝑧]) and connected (for distinct 𝑥,𝑦,𝑧, either [𝑥,𝑦,𝑧] or [𝑧,𝑥,𝑦]) | |||||
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Media in category "Cyclic order (mathematics)"
The following 5 files are in this category, out of 5 total.
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CyclicLinearProduct.svg 1,315 × 516; 9 KB
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CyclicLinearProductLabels.svg 1,462 × 757; 36 KB
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CyclicLinearProductResult.svg 514 × 516; 5 KB
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CyclicLinearProductResultLabels.svg 701 × 762; 32 KB
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CyclicOrderingOfCuts.svg 426 × 436; 23 KB