partial cyclic order

ternary relation that is cyclic (if [π‘₯,𝑦,𝑧] then [𝑧,π‘₯,𝑦]), asymmetric (if [π‘₯,𝑦,𝑧] then not [𝑧,𝑦,π‘₯]) and transitive (if [𝑀,π‘₯,𝑦] and [𝑀,𝑦,𝑧] then [𝑀,π‘₯,𝑧])
Thing general Q7140364
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partial cyclic order

Summary

Key Facts

  • partial cyclic order's subclass of is recorded as ternary relation[1].
  • partial cyclic order's Freebase ID is recorded as /m/0gx1n2s[2].
  • partial cyclic order's defining formula is recorded as \begin{aligned}{}[a,b,c]&\implies[b,c,a]\{}[a,b,c]&\implies\lnot[c,b,a]\{}[a,b,c]\land[a, c, d]&\implies[a,b,d]\end{aligned}[3].
  • partial cyclic order's maintained by WikiProject is recorded as WikiProject Mathematics[4].

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APA 4ort.xyz Knowledge Graph. (2026). partial cyclic order. Retrieved May 7, 2026, from https://4ort.xyz/entity/partial-cyclic-order
MLA “partial cyclic order.” 4ort.xyz Knowledge Graph, 4ort.xyz, 7 May. 2026, https://4ort.xyz/entity/partial-cyclic-order.
BibTeX @misc{4ortxyz_partial-cyclic-order_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{partial cyclic order}}, year = {2026}, url = {https://4ort.xyz/entity/partial-cyclic-order}, note = {Accessed: 2026-05-07}}
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