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inverse hyperbolic tangent

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 inverse hyperbolic tangent

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)instance of (Observed provider relationships)image (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)has part(s) (Observed provider relationships)Relationship label not yet available (Observed provider relationships)inverse hyperbolic tangent — Wikidata entity (Q1565608)inversehyperbolic…WIKIDATA ENTITY\tanh x — Literal value (wikidata:literal:0:\tanh x)\tanh xLITERAL VALUEhyperbolic tangent — Wikidata entity (Q1274703)hyperbolictangentWIKIDATA ENTITY\operatorname{artanh} x = \frac{1}{2}(\ln(1 + x) - \ln(1 - x)) — Literal value (wikidata:literal:2:\operatorname{artanh} x = \frac{1}{2}(\ln(1 + x) - \ln(1 - x)))\operatorname{artanh} x =…LITERAL VALUEWikiProject Mathematics — Wikidata entity (Q8487137)WikiProjectMathematicsWIKIDATA ENTITYISO 80000-2:2019 Quantities and units — Part 2: Mathematics — Wikidata entity (Q109490582)ISO 80000-2:2019Quantities and…WIKIDATA ENTITYinverse hyperbolic function — Wikidata entity (Q640600)inversehyperbolic…WIKIDATA ENTITYInverse Hyperbolic Tangent.svg — Literal value (wikidata:literal:6:Inverse Hyperbolic Tangent.svg)InverseHyperbolic…LITERAL VALUEy = \operatorname{artanh} x \Leftrightarrow x = \tanh y — Literal value (wikidata:literal:7:y = \operatorname{artanh} x \Leftrightarrow x = \tanh y)y =\operatorname{a…LITERAL VALUE\ln x — Literal value (wikidata:literal:8:\ln x)\ln xLITERAL VALUE\operatorname{artanh} x — Literal value (wikidata:literal:9:\operatorname{artanh} x)\operatorname{artanh} xLITERAL 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 (11)

  • inverse hyperbolic tangent — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q1565608
    stable_ref
    Q1565608
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q1565608
    provider
    wikidata
    entity_href
    /entries/wikidata/Q1565608
  • \tanh x — Literal value
    Technical details
    node_id
    wikidata:literal:0:\tanh x
    stable_ref
    wikidata:literal:0:\tanh x
    node_kind
    wikidata_literal
    plane
    provider_observed
  • hyperbolic tangent — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q1274703
    stable_ref
    Q1274703
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q1274703
    provider
    wikidata
    entity_href
    /entries/wikidata/Q1274703
  • \operatorname{artanh} x = \frac{1}{2}(\ln(1 + x) - \ln(1 - x)) — Literal value
    Technical details
    node_id
    wikidata:literal:2:\operatorname{artanh} x = \frac{1}{2}(\ln(1 + x) - \ln(1 - x))
    stable_ref
    wikidata:literal:2:\operatorname{artanh} x = \frac{1}{2}(\ln(1 + x) - \ln(1 - x))
    node_kind
    wikidata_literal
    plane
    provider_observed
  • 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
  • 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
  • inverse hyperbolic function — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q640600
    stable_ref
    Q640600
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q640600
    provider
    wikidata
    entity_href
    /entries/wikidata/Q640600
  • Inverse Hyperbolic Tangent.svg — Literal value
    Technical details
    node_id
    wikidata:literal:6:Inverse Hyperbolic Tangent.svg
    stable_ref
    wikidata:literal:6:Inverse Hyperbolic Tangent.svg
    node_kind
    wikidata_literal
    plane
    provider_observed
  • y = \operatorname{artanh} x \Leftrightarrow x = \tanh y — Literal value
    Technical details
    node_id
    wikidata:literal:7:y = \operatorname{artanh} x \Leftrightarrow x = \tanh y
    stable_ref
    wikidata:literal:7:y = \operatorname{artanh} x \Leftrightarrow x = \tanh y
    node_kind
    wikidata_literal
    plane
    provider_observed
  • \ln x — Literal value
    Technical details
    node_id
    wikidata:literal:8:\ln x
    stable_ref
    wikidata:literal:8:\ln x
    node_kind
    wikidata_literal
    plane
    provider_observed
  • \operatorname{artanh} x — Literal value
    Technical details
    node_id
    wikidata:literal:9:\operatorname{artanh} x
    stable_ref
    wikidata:literal:9:\operatorname{artanh} x
    node_kind
    wikidata_literal
    plane
    provider_observed

Edges (12)

  • inverse hyperbolic tangent — Relationship label not yet available → \tanh x — 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:0:P7235
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • inverse hyperbolic tangent — Relationship label not yet available → hyperbolic tangent — Observed provider relationships
    Technical details
    machine_predicate
    P8865
    predicate_ref
    wikidata:property:P8865
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:1:P8865
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • inverse hyperbolic tangent — Relationship label not yet available → \operatorname{artanh} x = \frac{1}{2}(\ln(1 + x) - \ln(1 - 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:2:P2534
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • inverse hyperbolic tangent — 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:3:P6104
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • inverse hyperbolic tangent — 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:4:P1343
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • inverse hyperbolic tangent — instance of → inverse hyperbolic 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:5:P31
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • inverse hyperbolic tangent — image → Inverse Hyperbolic Tangent.svg — Observed provider relationships
    Technical details
    machine_predicate
    P18
    predicate_ref
    wikidata:property:P18
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:6:P18
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • inverse hyperbolic tangent — Relationship label not yet available → y = \operatorname{artanh} x \Leftrightarrow x = \tanh y — 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:7:P2534
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • inverse hyperbolic tangent — Relationship label not yet available → \ln x — 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:8:P7235
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • inverse hyperbolic tangent — Relationship label not yet available → \operatorname{artanh} x — 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
  • inverse hyperbolic function — has part(s) → inverse hyperbolic tangent — Observed provider relationships
    Technical details
    machine_predicate
    P527
    predicate_ref
    wikidata:property:P527
    provider
    wikidata
    provider_direction
    incoming
    plane
    provider_observed
    edge_id
    wikidata:relation:10:P527
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • hyperbolic tangent — Relationship label not yet available → inverse hyperbolic tangent — Observed provider relationships
    Technical details
    machine_predicate
    P8865
    predicate_ref
    wikidata:property:P8865
    provider
    wikidata
    provider_direction
    incoming
    plane
    provider_observed
    edge_id
    wikidata:relation:11:P8865
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7

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