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function composition

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 function composition

Show relationship types (drawing only; the text lists are unaffected)
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)described by source (Observed provider relationships)Relationship label not yet available (Observed provider relationships)Relationship label not yet available (Observed provider relationships)subclass of (Observed provider relationships)Relationship label not yet available (Observed provider relationships)instance of (Observed provider relationships)instance of (Observed provider relationships)Relationship label not yet available (Observed provider relationships)Relationship label not yet available (Observed provider relationships)subclass of (Observed provider relationships)Relationship label not yet available (Observed provider relationships)different from (Observed provider relationships)Commons category (Observed provider relationships)different from (Observed provider relationships)described by source (Observed provider relationships)Relationship label not yet available (Observed provider relationships)subclass of (Observed provider relationships)described by source (Observed provider relationships)Relationship label not yet available (Observed provider relationships)subclass of (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)different from (Observed provider relationships)function composition — Wikidata entity (Q244761)functioncompositionWIKIDATA ENTITYWikipedia:Vital articles/Level/4 — Wikidata entity (Q6173448)Wikipedia:Vitalarticles/Level/4WIKIDATA ENTITYidentity function — Wikidata entity (Q321119)identityfunctionWIKIDATA ENTITYassociativity — Wikidata entity (Q177251)associativityWIKIDATA ENTITYcomposite function — Wikidata entity (Q78076954)compositefunctionWIKIDATA ENTITYPearson plc — Wikidata entity (Q1916402)Pearson plcWIKIDATA ENTITYfull stop — Wikidata entity (Q172008)full stopWIKIDATA ENTITYg \circ f — Literal value (wikidata:literal:6:g \circ f)g \circ fLITERAL VALUEbinary operation — Wikidata entity (Q164307)binary operationWIKIDATA ENTITYring operator — Wikidata entity (Q2516539)ring operatorWIKIDATA ENTITYhigher-order function — Wikidata entity (Q1474542)higher-orderfunctionWIKIDATA ENTITYbinary function — Wikidata entity (Q3737844)binary functionWIKIDATA ENTITYf — Literal value (wikidata:literal:11:f)fLITERAL VALUE(g \circ f)(x) = g(f(x)) — Literal value (wikidata:literal:12:(g \circ f)(x) = g(f(x)))(g \circ f)(x) =g(f(x))LITERAL VALUEmathematical operation — Wikidata entity (Q3884033)mathematicaloperationWIKIDATA ENTITYWikiProject Mathematics — Wikidata entity (Q8487137)WikiProjectMathematicsWIKIDATA ENTITYComposition (mappings) — Literal value (wikidata:literal:16:Composition (mappings))Composition(mappings)LITERAL VALUEfunction iteration — Wikidata entity (Q5254619)functioniterationWIKIDATA ENTITYFlexbook — Wikidata entity (Q5458938)FlexbookWIKIDATA ENTITYg — Literal value (wikidata:literal:19:g)gLITERAL VALUEoperator — Wikidata entity (Q131030)operatorWIKIDATA ENTITYISO 80000-2:2019 Quantities and units — Part 2: Mathematics — Wikidata entity (Q109490582)ISO 80000-2:2019Quantities and…WIKIDATA ENTITYExample for a composition of two functions.svg — Literal value (wikidata:literal:22:Example for a composition of two functions.svg)Example for acomposition of…LITERAL 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 (23)

  • function composition — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q244761
    stable_ref
    Q244761
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q244761
    provider
    wikidata
    entity_href
    /entries/wikidata/Q244761
  • Wikipedia:Vital articles/Level/4 — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q6173448
    stable_ref
    Q6173448
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q6173448
    provider
    wikidata
    entity_href
    /entries/wikidata/Q6173448
  • identity function — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q321119
    stable_ref
    Q321119
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q321119
    provider
    wikidata
    entity_href
    /entries/wikidata/Q321119
  • associativity — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q177251
    stable_ref
    Q177251
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q177251
    provider
    wikidata
    entity_href
    /entries/wikidata/Q177251
  • composite function — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q78076954
    stable_ref
    Q78076954
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q78076954
    provider
    wikidata
    entity_href
    /entries/wikidata/Q78076954
  • Pearson plc — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q1916402
    stable_ref
    Q1916402
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q1916402
    provider
    wikidata
    entity_href
    /entries/wikidata/Q1916402
  • full stop — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q172008
    stable_ref
    Q172008
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q172008
    provider
    wikidata
    entity_href
    /entries/wikidata/Q172008
  • g \circ f — Literal value
    Technical details
    node_id
    wikidata:literal:6:g \circ f
    stable_ref
    wikidata:literal:6:g \circ f
    node_kind
    wikidata_literal
    plane
    provider_observed
  • binary operation — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q164307
    stable_ref
    Q164307
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q164307
    provider
    wikidata
    entity_href
    /entries/wikidata/Q164307
  • ring operator — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q2516539
    stable_ref
    Q2516539
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q2516539
    provider
    wikidata
    entity_href
    /entries/wikidata/Q2516539
  • higher-order function — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q1474542
    stable_ref
    Q1474542
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q1474542
    provider
    wikidata
    entity_href
    /entries/wikidata/Q1474542
  • binary function — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q3737844
    stable_ref
    Q3737844
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q3737844
    provider
    wikidata
    entity_href
    /entries/wikidata/Q3737844
  • f — Literal value
    Technical details
    node_id
    wikidata:literal:11:f
    stable_ref
    wikidata:literal:11:f
    node_kind
    wikidata_literal
    plane
    provider_observed
  • (g \circ f)(x) = g(f(x)) — Literal value
    Technical details
    node_id
    wikidata:literal:12:(g \circ f)(x) = g(f(x))
    stable_ref
    wikidata:literal:12:(g \circ f)(x) = g(f(x))
    node_kind
    wikidata_literal
    plane
    provider_observed
  • mathematical operation — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q3884033
    stable_ref
    Q3884033
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q3884033
    provider
    wikidata
    entity_href
    /entries/wikidata/Q3884033
  • 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
  • Composition (mappings) — Literal value
    Technical details
    node_id
    wikidata:literal:16:Composition (mappings)
    stable_ref
    wikidata:literal:16:Composition (mappings)
    node_kind
    wikidata_literal
    plane
    provider_observed
  • function iteration — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q5254619
    stable_ref
    Q5254619
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q5254619
    provider
    wikidata
    entity_href
    /entries/wikidata/Q5254619
  • Flexbook — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q5458938
    stable_ref
    Q5458938
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q5458938
    provider
    wikidata
    entity_href
    /entries/wikidata/Q5458938
  • g — Literal value
    Technical details
    node_id
    wikidata:literal:19:g
    stable_ref
    wikidata:literal:19:g
    node_kind
    wikidata_literal
    plane
    provider_observed
  • operator — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q131030
    stable_ref
    Q131030
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q131030
    provider
    wikidata
    entity_href
    /entries/wikidata/Q131030
  • ISO 80000-2:2019 Quantities and units — Part 2: Mathematics — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q109490582
    stable_ref
    Q109490582
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q109490582
    provider
    wikidata
    entity_href
    /entries/wikidata/Q109490582
  • Example for a composition of two functions.svg — Literal value
    Technical details
    node_id
    wikidata:literal:22:Example for a composition of two functions.svg
    stable_ref
    wikidata:literal:22:Example for a composition of two functions.svg
    node_kind
    wikidata_literal
    plane
    provider_observed

Edges (29)

  • function composition — Relationship label not yet available → Wikipedia:Vital articles/Level/4 — Observed provider relationships
    Technical details
    machine_predicate
    P5008
    predicate_ref
    wikidata:property:P5008
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:0:P5008
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • function composition — Relationship label not yet available → identity function — Observed provider relationships
    Technical details
    machine_predicate
    P8864
    predicate_ref
    wikidata:property:P8864
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:1:P8864
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • function composition — Relationship label not yet available → associativity — Observed provider relationships
    Technical details
    machine_predicate
    P1552
    predicate_ref
    wikidata:property:P1552
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:2:P1552
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • function composition — Relationship label not yet available → composite function — Observed provider relationships
    Technical details
    machine_predicate
    P1056
    predicate_ref
    wikidata:property:P1056
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:3:P1056
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • function composition — described by source → Pearson plc — Observed provider relationships
    Technical details
    machine_predicate
    P1343
    predicate_ref
    wikidata:property:P1343
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:4:P1343
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • function composition — Relationship label not yet available → full stop — Observed provider relationships
    Technical details
    machine_predicate
    P913
    predicate_ref
    wikidata:property:P913
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:5:P913
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • function composition — Relationship label not yet available → g \circ 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:6:P7235
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • function composition — subclass of → binary operation — Observed provider relationships
    Technical details
    machine_predicate
    P279
    predicate_ref
    wikidata:property:P279
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:7:P279
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • function composition — Relationship label not yet available → ring operator — Observed provider relationships
    Technical details
    machine_predicate
    P913
    predicate_ref
    wikidata:property:P913
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:8:P913
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • function composition — instance of → higher-order function — 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:9:P31
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • function composition — instance of → binary function — 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:10:P31
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • function composition — 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:11:P7235
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • function composition — Relationship label not yet available → (g \circ f)(x) = g(f(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:12:P2534
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • function composition — subclass of → mathematical operation — Observed provider relationships
    Technical details
    machine_predicate
    P279
    predicate_ref
    wikidata:property:P279
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:13:P279
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • function composition — 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:14:P6104
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • function composition — different from → composite function — 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:15:P1889
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • function composition — Commons category → Composition (mappings) — Observed provider relationships
    Technical details
    machine_predicate
    P373
    predicate_ref
    wikidata:property:P373
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:16:P373
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • function composition — different from → function iteration — 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:17:P1889
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • function composition — described by source → Flexbook — Observed provider relationships
    Technical details
    machine_predicate
    P1343
    predicate_ref
    wikidata:property:P1343
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:18:P1343
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • function composition — 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:19:P7235
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • function composition — subclass of → operator — Observed provider relationships
    Technical details
    machine_predicate
    P279
    predicate_ref
    wikidata:property:P279
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:20:P279
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • function composition — described by source → ISO 80000-2:2019 Quantities and units — Part 2: Mathematics — Observed provider relationships
    Technical details
    machine_predicate
    P1343
    predicate_ref
    wikidata:property:P1343
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:21:P1343
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • function composition — Relationship label not yet available → Example for a composition of two functions.svg — Observed provider relationships
    Technical details
    machine_predicate
    P5555
    predicate_ref
    wikidata:property:P5555
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:22:P5555
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • function iteration — subclass of → function composition — Observed provider relationships
    Technical details
    machine_predicate
    P279
    predicate_ref
    wikidata:property:P279
    provider
    wikidata
    provider_direction
    incoming
    plane
    provider_observed
    edge_id
    wikidata:relation:23:P279
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • function iteration — different from → function composition — 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:24:P1889
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • composite function — Relationship label not yet available → function composition — Observed provider relationships
    Technical details
    machine_predicate
    P2079
    predicate_ref
    wikidata:property:P2079
    provider
    wikidata
    provider_direction
    incoming
    plane
    provider_observed
    edge_id
    wikidata:relation:25:P2079
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • function iteration — Relationship label not yet available → function composition — Observed provider relationships
    Technical details
    machine_predicate
    P2283
    predicate_ref
    wikidata:property:P2283
    provider
    wikidata
    provider_direction
    incoming
    plane
    provider_observed
    edge_id
    wikidata:relation:26:P2283
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • ring operator — Relationship label not yet available → function composition — Observed provider relationships
    Technical details
    machine_predicate
    P180
    predicate_ref
    wikidata:property:P180
    provider
    wikidata
    provider_direction
    incoming
    plane
    provider_observed
    edge_id
    wikidata:relation:27:P180
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • composite function — different from → function composition — 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:28:P1889
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7

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