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chain rule

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 chain rule

Show relationship types (drawing only; the text lists are unaffected)
instance of (Observed provider relationships)Relationship label not yet available (Observed provider relationships)Relationship label not yet available (Observed provider relationships)instance of (Observed provider relationships)Relationship label not yet available (Observed provider relationships)studied by (Observed provider relationships)instance of (Observed provider relationships)Relationship label not yet available (Observed provider relationships)different from (Observed provider relationships)Relationship label not yet available (Observed provider relationships)Relationship label not yet available (Observed provider relationships)Relationship label not yet available (Observed provider relationships)Relationship label not yet available (Observed provider relationships)different from (Observed provider relationships)Relationship label not yet available (Observed provider relationships)chain rule — Wikidata entity (Q207455)chain ruleWIKIDATA ENTITYformula — Wikidata entity (Q976981)formulaWIKIDATA ENTITY(f \circ g)'(x) = f'(g(x)) \cdot g'(x) — Literal value (wikidata:literal:1:(f \circ g)'(x) = f'(g(x)) \cdot g'(x))(f \circ g)'(x)= f'(g(x)) \cdo…LITERAL VALUEg — Literal value (wikidata:literal:2:g)gLITERAL VALUEdifferentiation rule — Wikidata entity (Q90011163)differentiationruleWIKIDATA ENTITYf — Literal value (wikidata:literal:4:f)fLITERAL VALUEmathematical analysis — Wikidata entity (Q7754)mathematicalanalysisWIKIDATA ENTITYtheorem — Wikidata entity (Q65943)theoremWIKIDATA ENTITY' — Literal value (wikidata:literal:7:')'LITERAL VALUEchain rule — Wikidata entity (Q17004731)chain ruleWIKIDATA ENTITY\cdot — Literal value (wikidata:literal:9:\cdot)\cdotLITERAL VALUEintegration by substitution — Wikidata entity (Q1071270)integration bysubstitutionWIKIDATA ENTITYWikiProject Mathematics — Wikidata entity (Q8487137)WikiProjectMathematicsWIKIDATA ENTITY\circ — Literal value (wikidata:literal:12:\circ)\circLITERAL VALUE

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 (14)

  • chain rule — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q207455
    stable_ref
    Q207455
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q207455
    provider
    wikidata
    entity_href
    /entries/wikidata/Q207455
  • formula — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q976981
    stable_ref
    Q976981
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q976981
    provider
    wikidata
    entity_href
    /entries/wikidata/Q976981
  • (f \circ g)'(x) = f'(g(x)) \cdot g'(x) — Literal value
    Technical details
    node_id
    wikidata:literal:1:(f \circ g)'(x) = f'(g(x)) \cdot g'(x)
    stable_ref
    wikidata:literal:1:(f \circ g)'(x) = f'(g(x)) \cdot g'(x)
    node_kind
    wikidata_literal
    plane
    provider_observed
  • g — Literal value
    Technical details
    node_id
    wikidata:literal:2:g
    stable_ref
    wikidata:literal:2:g
    node_kind
    wikidata_literal
    plane
    provider_observed
  • differentiation rule — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q90011163
    stable_ref
    Q90011163
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q90011163
    provider
    wikidata
    entity_href
    /entries/wikidata/Q90011163
  • f — Literal value
    Technical details
    node_id
    wikidata:literal:4:f
    stable_ref
    wikidata:literal:4:f
    node_kind
    wikidata_literal
    plane
    provider_observed
  • mathematical analysis — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q7754
    stable_ref
    Q7754
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q7754
    provider
    wikidata
    entity_href
    /entries/wikidata/Q7754
  • 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
  • ' — Literal value
    Technical details
    node_id
    wikidata:literal:7:'
    stable_ref
    wikidata:literal:7:'
    node_kind
    wikidata_literal
    plane
    provider_observed
  • chain rule — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q17004731
    stable_ref
    Q17004731
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q17004731
    provider
    wikidata
    entity_href
    /entries/wikidata/Q17004731
  • \cdot — Literal value
    Technical details
    node_id
    wikidata:literal:9:\cdot
    stable_ref
    wikidata:literal:9:\cdot
    node_kind
    wikidata_literal
    plane
    provider_observed
  • integration by substitution — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q1071270
    stable_ref
    Q1071270
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q1071270
    provider
    wikidata
    entity_href
    /entries/wikidata/Q1071270
  • 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
  • \circ — Literal value
    Technical details
    node_id
    wikidata:literal:12:\circ
    stable_ref
    wikidata:literal:12:\circ
    node_kind
    wikidata_literal
    plane
    provider_observed

Edges (15)

  • chain rule — instance of → formula — 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:0:P31
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • chain rule — Relationship label not yet available → (f \circ g)'(x) = f'(g(x)) \cdot g'(x) — Observed provider relationships
    Technical details
    machine_predicate
    P2534
    predicate_ref
    wikidata:property:P2534
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:1:P2534
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • chain rule — Relationship label not yet available → g — Observed provider relationships
    Technical details
    machine_predicate
    P7235
    predicate_ref
    wikidata:property:P7235
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:2:P7235
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • chain rule — instance of → differentiation rule — 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:3:P31
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • chain rule — Relationship label not yet available → f — Observed provider relationships
    Technical details
    machine_predicate
    P7235
    predicate_ref
    wikidata:property:P7235
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:4:P7235
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • chain rule — studied by → mathematical analysis — 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:5:P2579
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • chain rule — 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:6:P31
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • chain rule — Relationship label not yet available → ' — Observed provider relationships
    Technical details
    machine_predicate
    P7235
    predicate_ref
    wikidata:property:P7235
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:7:P7235
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • chain rule — different from → chain rule — Observed provider relationships
    Technical details
    machine_predicate
    P1889
    predicate_ref
    wikidata:property:P1889
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:8:P1889
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • chain rule — Relationship label not yet available → \cdot — Observed provider relationships
    Technical details
    machine_predicate
    P7235
    predicate_ref
    wikidata:property:P7235
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:9:P7235
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • chain rule — Relationship label not yet available → integration by substitution — Observed provider relationships
    Technical details
    machine_predicate
    P461
    predicate_ref
    wikidata:property:P461
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:10:P461
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • chain rule — 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:11:P6104
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • chain rule — Relationship label not yet available → \circ — Observed provider relationships
    Technical details
    machine_predicate
    P7235
    predicate_ref
    wikidata:property:P7235
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:12:P7235
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • chain rule — different from → chain rule — Observed provider relationships
    Technical details
    machine_predicate
    P1889
    predicate_ref
    wikidata:property:P1889
    provider
    wikidata
    provider_direction
    incoming
    plane
    provider_observed
    edge_id
    wikidata:relation:13:P1889
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • integration by substitution — Relationship label not yet available → chain rule — Observed provider relationships
    Technical details
    machine_predicate
    P461
    predicate_ref
    wikidata:property:P461
    provider
    wikidata
    provider_direction
    incoming
    plane
    provider_observed
    edge_id
    wikidata:relation:14:P461
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7

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