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Wikimedia neighborhood · Wikidata observation Observed Graph-projection

Pfaffian

square root of the determinant of a skew-symmetric square matrix

Provider: Wikidata. These recorded connections are observations, not Counterpedia claims. They do not establish source support.

Data and provenance

Provider: Wikidata · Entity ID: Q1189744

Release: sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7

Graph membership is not truth. Each relation below is an observed typed edge the local Wikimedia graph bundle already materialized — not a corroborated, verified, or admitted claim. Bounded to 40 relations via an offset-index lookup (offset_index_binary_search), never a full scan of the bundle.Serving a published subset: joined entities + 1-hop neighborhood of 35,994 exact Wikipedia–Wikidata title matches. A subject that is not itself in that subset carries only the relations the subset recorded for it, so a small count here is the published scope and not a complete relationship inventory.
Development requests are not available on this deployment. The observed entity and its graph links remain readable.

1-hop relations (9)

→ Relationship→ Relationship→ named after→ instance of→ Relationship→ different from→ Relationship→ subclass of← notable workWikiProject Mathemati…Arthur CayleyJohann Friedrich Pfaffmathematical concept1852Pfaffian function\operatorname{pf}(A)=…determinantJohann Friedrich PfaffPfaffian
Observed adjacency only. Each spoke is a typed edge already materialized in the graph, labeled by its recorded predicate — graph proximity is not support, corroboration, or admission. The links below are the accessible, no-JavaScript path to the same neighbors.

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Grouped by a fixed presentation taxonomy for legibility only. The grouping asserts no rank, truth, support, or standing — every observed edge is carried, none reordered by importance.

Identity & relations (2)

  • → instance of (P31)mathematical conceptObserved
    Relationship details

    Provider: Wikidata · Property: P31 · Direction: outgoing · Entity ID: Q24034552

  • → subclass of (P279)determinantObserved
    Relationship details

    Provider: Wikidata · Property: P279 · Direction: outgoing · Entity ID: Q178546

Notable works (1)

  • ← notable work (P800)Johann Friedrich PfaffObserved
    Relationship details

    Provider: Wikidata · Property: P800 · Direction: incoming · Entity ID: Q77361

Other connections (6)

  • → Relationship name unavailable (P6104)WikiProject MathematicsObserved
    Relationship details

    Provider: Wikidata · Property: P6104 · Direction: outgoing · Entity ID: Q8487137

  • → Relationship name unavailable (P61)Arthur CayleyObserved
    Relationship details

    Provider: Wikidata · Property: P61 · Direction: outgoing · Entity ID: Q159430

  • → named after (P138)Johann Friedrich PfaffObserved
    Relationship details

    Provider: Wikidata · Property: P138 · Direction: outgoing · Entity ID: Q77361

  • → Relationship name unavailable (P575)1852Observed
    Relationship details

    Provider: Wikidata · Property: P575 · Direction: outgoing

  • → different from (P1889)Pfaffian functionObserved
    Relationship details

    Provider: Wikidata · Property: P1889 · Direction: outgoing · Entity ID: Q7179766

  • → Relationship name unavailable (P2534)\operatorname{pf}(A)=\frac1{2^nn!} \sum_{\sigma \in S_{2n}}\operatorname{sgn}(\sigma) \prod _{i=1}^n A_{\sigma (2i-1),\sigma (2i)}Observed
    Relationship details

    Provider: Wikidata · Property: P2534 · Direction: outgoing

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