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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

Show relationship types (drawing only; the text lists are unaffected)
has part(s) (Observed provider relationships)field of work (Observed provider relationships)field of work (Observed provider relationships)field of work (Observed provider relationships)field of work (Observed provider relationships)field of work (Observed provider relationships)part of (Observed provider relationships)field of work (Observed provider relationships)field of work (Observed provider relationships)field of work (Observed provider relationships)field of work (Observed provider relationships)field of work (Observed provider relationships)field of work (Observed provider relationships)field of work (Observed provider relationships)field of work (Observed provider relationships)studied by (Observed provider relationships)field of work (Observed provider relationships)field of work (Observed provider relationships)field of work (Observed provider relationships)mathematical analysis — Wikidata entity (Q7754)mathematicalanalysisWIKIDATA ENTITYfunctional analysis — Wikidata entity (Q190549)functionalanalysisWIKIDATA ENTITYKiyoshi Itō — Wikidata entity (Q455616)Kiyoshi ItōWIKIDATA ENTITYJohann Radon — Wikidata entity (Q78580)Johann RadonWIKIDATA ENTITYAugustin-Louis Cauchy — Wikidata entity (Q8814)Augustin-LouisCauchyWIKIDATA ENTITYSergei Bernstein — Wikidata entity (Q470539)Sergei BernsteinWIKIDATA ENTITYJosiah Willard Gibbs — Wikidata entity (Q153243)Josiah WillardGibbsWIKIDATA ENTITYPierre Varignon — Wikidata entity (Q379219)Pierre VarignonWIKIDATA ENTITYGábor Szegő — Wikidata entity (Q215974)Gábor SzegőWIKIDATA ENTITYNicolaus II Bernoulli — Wikidata entity (Q124001)Nicolaus IIBernoulliWIKIDATA ENTITYSalomon Bochner — Wikidata entity (Q215967)Salomon BochnerWIKIDATA ENTITYGeorge Pólya — Wikidata entity (Q296259)George PólyaWIKIDATA ENTITYCesare Arzelà — Wikidata entity (Q525674)Cesare ArzelàWIKIDATA ENTITYCathleen Synge Morawetz — Wikidata entity (Q450331)Cathleen SyngeMorawetzWIKIDATA ENTITYPaul Erdős — Wikidata entity (Q173746)Paul ErdősWIKIDATA ENTITYchain rule — Wikidata entity (Q207455)chain ruleWIKIDATA ENTITYJean Delsarte — Wikidata entity (Q726390)Jean DelsarteWIKIDATA ENTITYKarl Weierstraß — Wikidata entity (Q57103)Karl WeierstraßWIKIDATA ENTITYErnest William Hobson — Wikidata entity (Q436096)Ernest WilliamHobsonWIKIDATA 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 (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

Reader shortcuts (not graph edges) (0)

    Unresolved references (0)

      Frontier (0)