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
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