Wikimedia neighborhood · Wikidata observation Observed Graph-projection

gradient

multi-variable generalization of the derivative

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

Data and provenance

Provider: Wikidata · Entity ID: Q173582

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 (18)

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.

Follow a connection

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 (4)

→ instance of (P31)mathematical expressionObserved
Relationship details
Provider: Wikidata · Property: P31 · Direction: outgoing · Entity ID: Q6498784
→ subclass of (P279)differential operatorObserved
Relationship details
Provider: Wikidata · Property: P279 · Direction: outgoing · Entity ID: Q1058681
→ subclass of (P279)vector operatorObserved
Relationship details
Provider: Wikidata · Property: P279 · Direction: outgoing · Entity ID: Q7917838
→ subclass of (P279)vector gradientObserved
Relationship details
Provider: Wikidata · Property: P279 · Direction: outgoing · Entity ID: Q89696115

Other connections (13)

→ Relationship name unavailable (P913)∇Observed
Relationship details
Provider: Wikidata · Property: P913 · Direction: outgoing · Entity ID: Q937750
→ Relationship name unavailable (P7235)x_iObserved
Relationship details
Provider: Wikidata · Property: P7235 · Direction: outgoing
→ Relationship name unavailable (P7235)\boldsymbol{e}_iObserved
Relationship details
Provider: Wikidata · Property: P7235 · Direction: outgoing
→ different from (P1889)nabla operatorObserved
Relationship details
Provider: Wikidata · Property: P1889 · Direction: outgoing · Entity ID: Q334508
→ Relationship name unavailable (P2534)\nabla \varphi = \sum_i \boldsymbol{e}_i \frac{\partial \varphi}{\partial x_i}Observed
Relationship details
Provider: Wikidata · Property: P2534 · Direction: outgoing
→ described by source (P1343)Armenian Soviet Encyclopedia, vol. 3Observed
Relationship details
Provider: Wikidata · Property: P1343 · Direction: outgoing · Entity ID: Q124737616
→ described by source (P1343)ISO 80000-2:2019 Quantities and units — Part 2: MathematicsObserved
Relationship details
Provider: Wikidata · Property: P1343 · Direction: outgoing · Entity ID: Q109490582
→ Relationship name unavailable (P7235)\nabla \varphiObserved
Relationship details
Provider: Wikidata · Property: P7235 · Direction: outgoing
→ Relationship name unavailable (P7235)\varphiObserved
Relationship details
Provider: Wikidata · Property: P7235 · Direction: outgoing
→ Relationship name unavailable (P6104)WikiProject MathematicsObserved
Relationship details
Provider: Wikidata · Property: P6104 · Direction: outgoing · Entity ID: Q8487137
→ different from (P1889)vector gradientObserved
Relationship details
Provider: Wikidata · Property: P1889 · Direction: outgoing · Entity ID: Q89696115
← different from (P1889)vector gradientObserved
Relationship details
Provider: Wikidata · Property: P1889 · Direction: incoming · Entity ID: Q89696115
← different from (P1889)nabla operatorObserved
Relationship details
Provider: Wikidata · Property: P1889 · Direction: incoming · Entity ID: Q334508

External identifiers (1)

→ Commons category (P373)Gradient fieldsObserved
Relationship details
Provider: Wikidata · Property: P373 · Direction: outgoing

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