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Harnack's inequality

Relationships observed in Wikidata. Connections do not establish verification or source support.

Release: sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7

Provider: Wikidata · graph projection only.

OBSERVED · GRAPH-PROJECTION · NOT ADMITTED · NOT VERIFIED · NOT SUPPORT

Edge identity is the provider property id (for example P31). It is not a Counterpedia predicate.

Development requests are not available on this deployment. The observed entity and its graph links remain readable.

Relationships of Harnack's inequality

Show relationship types (drawing only; the text lists are unaffected)
named after (Observed provider relationships)Relationship label not yet available (Observed provider relationships)studied by (Observed provider relationships)Relationship label not yet available (Observed provider relationships)instance of (Observed provider relationships)notable work (Observed provider relationships)Harnack's inequality — Wikidata entity (Q868279)Harnack'sinequalityWIKIDATA ENTITYAxel Harnack — Wikidata entity (Q65214)Axel HarnackWIKIDATA ENTITYWikiProject Mathematics — Wikidata entity (Q8487137)WikiProjectMathematicsWIKIDATA ENTITYcalculus — Wikidata entity (Q149972)calculusWIKIDATA ENTITYtheorem — Wikidata entity (Q65943)theoremWIKIDATA ENTITY

Legend

  • Governed record relationships (solid)
  • Countergraph traversal (dashed)
  • Countergraph evidence (dotted)
  • Observed provider relationships (dash-dot)
  • Structurally derived (sparse dots)

Node shape identifies node kind only. Size, color, and position carry no meaning beyond hop distance from the root.

A line means a supported artifact carried an explicit structured relation. It does not mean the relation is true, admitted, verified, or authoritative.

Graph as text

Nodes (5)

  • Harnack's inequality — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q868279
    stable_ref
    Q868279
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q868279
    provider
    wikidata
    entity_href
    /entries/wikidata/Q868279
  • Axel Harnack — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q65214
    stable_ref
    Q65214
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q65214
    provider
    wikidata
    entity_href
    /entries/wikidata/Q65214
  • WikiProject Mathematics — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q8487137
    stable_ref
    Q8487137
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q8487137
    provider
    wikidata
    entity_href
    /entries/wikidata/Q8487137
  • calculus — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q149972
    stable_ref
    Q149972
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q149972
    provider
    wikidata
    entity_href
    /entries/wikidata/Q149972
  • theorem — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q65943
    stable_ref
    Q65943
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q65943
    provider
    wikidata
    entity_href
    /entries/wikidata/Q65943

Edges (6)

  • Harnack's inequality — named after → Axel Harnack — Observed provider relationships
    Technical details
    machine_predicate
    P138
    predicate_ref
    wikidata:property:P138
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:0:P138
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Harnack's inequality — Relationship label not yet available → WikiProject Mathematics — Observed provider relationships
    Technical details
    machine_predicate
    P6104
    predicate_ref
    wikidata:property:P6104
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:1:P6104
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Harnack's inequality — studied by → calculus — Observed provider relationships
    Technical details
    machine_predicate
    P2579
    predicate_ref
    wikidata:property:P2579
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:2:P2579
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Harnack's inequality — Relationship label not yet available → Axel Harnack — Observed provider relationships
    Technical details
    machine_predicate
    P1318
    predicate_ref
    wikidata:property:P1318
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:3:P1318
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Harnack's inequality — instance of → theorem — Observed provider relationships
    Technical details
    machine_predicate
    P31
    predicate_ref
    wikidata:property:P31
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:4:P31
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Axel Harnack — notable work → Harnack's inequality — Observed provider relationships
    Technical details
    machine_predicate
    P800
    predicate_ref
    wikidata:property:P800
    provider
    wikidata
    provider_direction
    incoming
    plane
    provider_observed
    edge_id
    wikidata:relation:5:P800
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7

Reader shortcuts (not graph edges) (0)

    Unresolved references (0)

      Frontier (0)