cyclic order
ternary relation that is cyclic (if [π₯,π¦,π§] then [π§,π₯,π¦]), asymmetric (if [π₯,π¦,π§] then not [π§,π¦,π₯]), transitive (if [π€,π₯,π¦] and [π€,π¦,π§] then [π€,π₯,π§]) and connected (for distinct π₯,π¦,π§, either [π₯,π¦,π§] or [π§,π₯,π¦])
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cyclic order
Summary
cyclic order ranks in the top 2% of general entities by monthly Wikipedia readership (38 views/month).[1]
Key Facts
- cyclic order's subclass of is recorded as partial cyclic order[2].
- cyclic order's Commons category is recorded as Cyclic order (mathematics)[3].
- cyclic order's Freebase ID is recorded as /m/0282md[4].
- 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]\a\ne b\ne c\ne a&\implies[a,b,c]\lor[c,b,a]\end{aligned}[5].
- cyclic order's nLab ID is recorded as cyclic order[6].
- cyclic order's schematic is recorded as OrientovanΓ‘ kruΕΎnice.svg[7].
- cyclic order's maintained by WikiProject is recorded as WikiProject Mathematics[8].
- cyclic order's Microsoft Academic ID is recorded as 130940089[9].
- cyclic order's in defining formula is recorded as \implies[10].
- cyclic order's in defining formula is recorded as \land[11].
- cyclic order's in defining formula is recorded as \lor[12].
- cyclic order's in defining formula is recorded as \lnot[13].
- cyclic order's in defining formula is recorded as [-,-,-][14].
Why It Matters
cyclic order ranks in the top 2% of general entities by monthly Wikipedia readership (38 views/month).[1] It has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.[15] It is known by 22 alternative names across languages and contexts.[16]