mathematical analysis
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 mathematical analysis
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 (19)
- 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
- functional analysis — Wikidata entity
Technical details
- node_id
- wikidata:entity:Q190549
- stable_ref
- Q190549
- node_kind
- wikidata_entity
- plane
- provider_observed
- qid
- Q190549
- provider
- wikidata
- entity_href
- /entries/wikidata/Q190549
- Kiyoshi Itō — Wikidata entity
Technical details
- node_id
- wikidata:entity:Q455616
- stable_ref
- Q455616
- node_kind
- wikidata_entity
- plane
- provider_observed
- qid
- Q455616
- provider
- wikidata
- entity_href
- /entries/wikidata/Q455616
- Johann Radon — Wikidata entity
Technical details
- node_id
- wikidata:entity:Q78580
- stable_ref
- Q78580
- node_kind
- wikidata_entity
- plane
- provider_observed
- qid
- Q78580
- provider
- wikidata
- entity_href
- /entries/wikidata/Q78580
- Augustin-Louis Cauchy — Wikidata entity
Technical details
- node_id
- wikidata:entity:Q8814
- stable_ref
- Q8814
- node_kind
- wikidata_entity
- plane
- provider_observed
- qid
- Q8814
- provider
- wikidata
- entity_href
- /entries/wikidata/Q8814
- Sergei Bernstein — Wikidata entity
Technical details
- node_id
- wikidata:entity:Q470539
- stable_ref
- Q470539
- node_kind
- wikidata_entity
- plane
- provider_observed
- qid
- Q470539
- provider
- wikidata
- entity_href
- /entries/wikidata/Q470539
- Josiah Willard Gibbs — Wikidata entity
Technical details
- node_id
- wikidata:entity:Q153243
- stable_ref
- Q153243
- node_kind
- wikidata_entity
- plane
- provider_observed
- qid
- Q153243
- provider
- wikidata
- entity_href
- /entries/wikidata/Q153243
- Pierre Varignon — Wikidata entity
Technical details
- node_id
- wikidata:entity:Q379219
- stable_ref
- Q379219
- node_kind
- wikidata_entity
- plane
- provider_observed
- qid
- Q379219
- provider
- wikidata
- entity_href
- /entries/wikidata/Q379219
- Gábor Szegő — Wikidata entity
Technical details
- node_id
- wikidata:entity:Q215974
- stable_ref
- Q215974
- node_kind
- wikidata_entity
- plane
- provider_observed
- qid
- Q215974
- provider
- wikidata
- entity_href
- /entries/wikidata/Q215974
- Nicolaus II Bernoulli — Wikidata entity
Technical details
- node_id
- wikidata:entity:Q124001
- stable_ref
- Q124001
- node_kind
- wikidata_entity
- plane
- provider_observed
- qid
- Q124001
- provider
- wikidata
- entity_href
- /entries/wikidata/Q124001
- Salomon Bochner — Wikidata entity
Technical details
- node_id
- wikidata:entity:Q215967
- stable_ref
- Q215967
- node_kind
- wikidata_entity
- plane
- provider_observed
- qid
- Q215967
- provider
- wikidata
- entity_href
- /entries/wikidata/Q215967
- George Pólya — Wikidata entity
Technical details
- node_id
- wikidata:entity:Q296259
- stable_ref
- Q296259
- node_kind
- wikidata_entity
- plane
- provider_observed
- qid
- Q296259
- provider
- wikidata
- entity_href
- /entries/wikidata/Q296259
- Cesare Arzelà — Wikidata entity
Technical details
- node_id
- wikidata:entity:Q525674
- stable_ref
- Q525674
- node_kind
- wikidata_entity
- plane
- provider_observed
- qid
- Q525674
- provider
- wikidata
- entity_href
- /entries/wikidata/Q525674
- Cathleen Synge Morawetz — Wikidata entity
Technical details
- node_id
- wikidata:entity:Q450331
- stable_ref
- Q450331
- node_kind
- wikidata_entity
- plane
- provider_observed
- qid
- Q450331
- provider
- wikidata
- entity_href
- /entries/wikidata/Q450331
- Paul Erdős — Wikidata entity
Technical details
- node_id
- wikidata:entity:Q173746
- stable_ref
- Q173746
- node_kind
- wikidata_entity
- plane
- provider_observed
- qid
- Q173746
- provider
- wikidata
- entity_href
- /entries/wikidata/Q173746
- 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
- Jean Delsarte — Wikidata entity
Technical details
- node_id
- wikidata:entity:Q726390
- stable_ref
- Q726390
- node_kind
- wikidata_entity
- plane
- provider_observed
- qid
- Q726390
- provider
- wikidata
- entity_href
- /entries/wikidata/Q726390
- Karl Weierstraß — Wikidata entity
Technical details
- node_id
- wikidata:entity:Q57103
- stable_ref
- Q57103
- node_kind
- wikidata_entity
- plane
- provider_observed
- qid
- Q57103
- provider
- wikidata
- entity_href
- /entries/wikidata/Q57103
- Ernest William Hobson — Wikidata entity
Technical details
- node_id
- wikidata:entity:Q436096
- stable_ref
- Q436096
- node_kind
- wikidata_entity
- plane
- provider_observed
- qid
- Q436096
- provider
- wikidata
- entity_href
- /entries/wikidata/Q436096
Edges (19)
- mathematical analysis — has part(s) → functional analysis — Observed provider relationships
Technical details
- machine_predicate
- P527
- predicate_ref
- wikidata:property:P527
- provider
- wikidata
- provider_direction
- outgoing
- plane
- provider_observed
- edge_id
- wikidata:relation:0:P527
- release_ref
- sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
- Kiyoshi Itō — field of work → mathematical analysis — Observed provider relationships
Technical details
- machine_predicate
- P101
- predicate_ref
- wikidata:property:P101
- provider
- wikidata
- provider_direction
- incoming
- plane
- provider_observed
- edge_id
- wikidata:relation:1:P101
- release_ref
- sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
- Johann Radon — field of work → mathematical analysis — Observed provider relationships
Technical details
- machine_predicate
- P101
- predicate_ref
- wikidata:property:P101
- provider
- wikidata
- provider_direction
- incoming
- plane
- provider_observed
- edge_id
- wikidata:relation:2:P101
- release_ref
- sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
- Augustin-Louis Cauchy — field of work → mathematical analysis — Observed provider relationships
Technical details
- machine_predicate
- P101
- predicate_ref
- wikidata:property:P101
- provider
- wikidata
- provider_direction
- incoming
- plane
- provider_observed
- edge_id
- wikidata:relation:3:P101
- release_ref
- sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
- Sergei Bernstein — field of work → mathematical analysis — Observed provider relationships
Technical details
- machine_predicate
- P101
- predicate_ref
- wikidata:property:P101
- provider
- wikidata
- provider_direction
- incoming
- plane
- provider_observed
- edge_id
- wikidata:relation:4:P101
- release_ref
- sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
- Josiah Willard Gibbs — field of work → mathematical analysis — Observed provider relationships
Technical details
- machine_predicate
- P101
- predicate_ref
- wikidata:property:P101
- provider
- wikidata
- provider_direction
- incoming
- plane
- provider_observed
- edge_id
- wikidata:relation:5:P101
- release_ref
- sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
- functional analysis — part of → mathematical analysis — Observed provider relationships
Technical details
- machine_predicate
- P361
- predicate_ref
- wikidata:property:P361
- provider
- wikidata
- provider_direction
- incoming
- plane
- provider_observed
- edge_id
- wikidata:relation:6:P361
- release_ref
- sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
- Pierre Varignon — field of work → mathematical analysis — Observed provider relationships
Technical details
- machine_predicate
- P101
- predicate_ref
- wikidata:property:P101
- provider
- wikidata
- provider_direction
- incoming
- plane
- provider_observed
- edge_id
- wikidata:relation:7:P101
- release_ref
- sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
- Gábor Szegő — field of work → mathematical analysis — Observed provider relationships
Technical details
- machine_predicate
- P101
- predicate_ref
- wikidata:property:P101
- provider
- wikidata
- provider_direction
- incoming
- plane
- provider_observed
- edge_id
- wikidata:relation:8:P101
- release_ref
- sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
- Nicolaus II Bernoulli — field of work → mathematical analysis — Observed provider relationships
Technical details
- machine_predicate
- P101
- predicate_ref
- wikidata:property:P101
- provider
- wikidata
- provider_direction
- incoming
- plane
- provider_observed
- edge_id
- wikidata:relation:9:P101
- release_ref
- sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
- Salomon Bochner — field of work → mathematical analysis — Observed provider relationships
Technical details
- machine_predicate
- P101
- predicate_ref
- wikidata:property:P101
- provider
- wikidata
- provider_direction
- incoming
- plane
- provider_observed
- edge_id
- wikidata:relation:10:P101
- release_ref
- sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
- George Pólya — field of work → mathematical analysis — Observed provider relationships
Technical details
- machine_predicate
- P101
- predicate_ref
- wikidata:property:P101
- provider
- wikidata
- provider_direction
- incoming
- plane
- provider_observed
- edge_id
- wikidata:relation:11:P101
- release_ref
- sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
- Cesare Arzelà — field of work → mathematical analysis — Observed provider relationships
Technical details
- machine_predicate
- P101
- predicate_ref
- wikidata:property:P101
- provider
- wikidata
- provider_direction
- incoming
- plane
- provider_observed
- edge_id
- wikidata:relation:12:P101
- release_ref
- sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
- Cathleen Synge Morawetz — field of work → mathematical analysis — Observed provider relationships
Technical details
- machine_predicate
- P101
- predicate_ref
- wikidata:property:P101
- provider
- wikidata
- provider_direction
- incoming
- plane
- provider_observed
- edge_id
- wikidata:relation:13:P101
- release_ref
- sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
- Paul Erdős — field of work → mathematical analysis — Observed provider relationships
Technical details
- machine_predicate
- P101
- predicate_ref
- wikidata:property:P101
- provider
- wikidata
- provider_direction
- incoming
- plane
- provider_observed
- edge_id
- wikidata:relation:14:P101
- 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
- incoming
- plane
- provider_observed
- edge_id
- wikidata:relation:15:P2579
- release_ref
- sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
- Jean Delsarte — field of work → mathematical analysis — Observed provider relationships
Technical details
- machine_predicate
- P101
- predicate_ref
- wikidata:property:P101
- provider
- wikidata
- provider_direction
- incoming
- plane
- provider_observed
- edge_id
- wikidata:relation:16:P101
- release_ref
- sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
- Karl Weierstraß — field of work → mathematical analysis — Observed provider relationships
Technical details
- machine_predicate
- P101
- predicate_ref
- wikidata:property:P101
- provider
- wikidata
- provider_direction
- incoming
- plane
- provider_observed
- edge_id
- wikidata:relation:17:P101
- release_ref
- sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
- Ernest William Hobson — field of work → mathematical analysis — Observed provider relationships
Technical details
- machine_predicate
- P101
- predicate_ref
- wikidata:property:P101
- provider
- wikidata
- provider_direction
- incoming
- plane
- provider_observed
- edge_id
- wikidata:relation:18:P101
- release_ref
- sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7