Counterpedia · Subject

Wikidata observation

gradient

multi-variable generalization of the derivative

Also known as (5)

gradient of a scalar function · grad operator · gradient operator · grad · gradient vector

Observations from Wikidata; separate from governed Counterpedia records. Sources, origins and what has been checked

At a glance

Selected recorded observations. Counterpedia has not independently verified them; inspect the statements for sources and alternative or historical context.

subclass of: differential operator
About this property
A broader class whose members include every member of this class. This is different from an individual being an instance of a class.
Wikidata property P279; Statement & references
different from: nabla operator
About this property
This names the relationship or attribute recorded by Wikidata. Any context shown beside it qualifies this particular statement.
Wikidata property P1889; Statement & references
instance of: mathematical expression
About this property
This names the relationship or attribute recorded by Wikidata. Any context shown beside it qualifies this particular statement.
Wikidata property P31; Statement & references

How these facts are selected

Up to eight distinct properties with readable names and values. One from each available category comes first, then remaining slots follow property category, property code and source order. This keeps names and family details from crowding out work, dates and geography. Media, external identifiers, unnamed targets and statements with incomplete qualifying context stay in the detailed list. The same rule applies to every subject. Context recorded by Wikidata appears beside each selected fact.

Relationships

Outgoing connections are statements about this subject. A connection is not evidence that another subject supports a claim.

Relationship name unavailable: ∇
different from (P1889): nabla operator
instance of (P31): mathematical expression
described by source (P1343): Armenian Soviet Encyclopedia, vol. 3Recorded context: Relationship name unavailable: 195This statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.
subclass of (P279): differential operator
described by source (P1343): ISO 80000-2:2019 Quantities and units — Part 2: MathematicsRecorded context: Relationship name unavailable: 2-18.14This statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.
subclass of (P279): vector operator
subclass of (P279): vector gradient
Relationship name unavailable: WikiProject Mathematics

All projected connections & provider records

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gradient

Other entries this record states a relationship to. Follow one to keep moving through the universe.

Identity & relations

mathematical expression— instance of (P31)stated relationship
differential operator— subclass of (P279)stated relationship
vector operator— subclass of (P279)stated relationship
vector gradient— subclass of (P279)stated relationship

Other connections

∇— P913stated relationship
nabla operator— different from (P1889)stated relationship
Armenian Soviet Encyclopedia, vol. 3— described by source (P1343)stated relationship
ISO 80000-2:2019 Quantities and units — Part 2: Mathematics— described by source (P1343)stated relationship
WikiProject Mathematics— P6104stated relationship

The original records this observation was assembled from, off Counterpedia.

Wikidata: Q173582 ↗

Keep exploring the surrounding neighborhood.

Explore the gradient neighborhood

Assembled from entry read model wikimedia_observation:Q173582, public release sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7. This view is served from published release bytes.

Explore incoming and outgoing relationships →

External identifiers (21)

Identifier lookup links, separate from statement references.

P7726: Gradient
P11497: 1.6.E20
P9545: 233629
P6266: gradiente
P8814: 13881709-n
P3365: gradiente
GND: 4323954-7 ↗
P8855: 102-05-19
P6706: gradiènte
P646: /m/038hz
P8313: gradient
P5019: gradient-mathematik
P3417: Gradient-Mathematics
P10017: gradiente
P2812: Gradient
P9941: gradiente
P7554: gradient
Encyclopædia Britannica: topic/gradient-mathematics
P5844: gradiente
P3471: 48907
P9621: gradiente

Sources and origins

Structured observations: Statements in this view were observed in Wikidata. Their source identifiers and carried history remain available for inspection.
Cited references: Works, URLs and identifiers attached to particular statements. A cited locator is not an independently established support finding. Inspect statement references
Retained evidence: This view carries observation data. It does not supply independently captured copies of the cited documents or establish their custody. Discovering a reference does not register a governed Source Record.
Checks: No completed Check is associated with these statements in this view. Check execution is currently unavailable.

These observations are not governed Counterpedia claims. The origin of an observation can differ from the author or publisher of its cited source.

Validation state

1. In Wikidata
No source identifiers recorded.
2. Lookup route
No source identifiers recorded.
3. Lookup result
No lookup recorded for this page.
4. Saved copy
No saved copy for this page.
5. Fixed version
No fixed source version for this page.
6. Check result
Not checked.

These stages describe what this page can show from governed subject-scoped records. A lookup route does not mean a source was found; a lookup result does not mean bytes were saved; and a saved copy does not mean a fixed source version or a Check result exists.

Research frontier

Ready to investigate

None of the recorded identifier routes is marked routable.

Still unresolved

21 identifier routes and 0 reference hints remain research inputs rather than governed evidence.

Authority boundary

What this page establishes

It establishes what the retained Wikimedia observation contains and what investigation paths Counterpedia can describe from that material.

What it does not establish

A Wikidata statement is not automatically Counterpedia evidence.
A routable identifier is not a captured source.
A captured representation is not automatically a fixed source version.
A fixed source version is not automatically a Check result.
Graph proximity and reference counts are not support or corroboration.
A provider observation and candidate locator do not establish source bytes or support.

Presentation contract

Stage template: counterpedia.reader.profile.v1
Counterpedia composition: counterpedia.product.subject.profile.v1

Statements & recorded references

Open a statement to see the references attached to it. Context can limit when, where or how a statement applies. Recorded source URLs, identifier resolvers and source works describe where Wikidata points; none establishes source support or a completed Check.

Check execution is unavailable in this preview. Exact recorded locators remain available to inspect and open.

Relationship name unavailable: ∇Reference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
The readable name for this property is unavailable here. Its code and exact recorded value are preserved; the code alone does not explain the relationship.
Wikidata property P913
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P913",
  "targetRef": "Q937750",
  "targetLabel": "∇"
}
```
Relationship name unavailable: x_iReference count not carriedRecorded context: Relationship name unavailable: named value unavailable in this releaseThis statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
The readable name for this property is unavailable here. Its code and exact recorded value are preserved; the code alone does not explain the relationship.
Wikidata property P7235
No exact source locator is carried for this statement in this view.
Qualifiers
Relationship name unavailable: named value unavailable in this release
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P7235",
  "literalValue": "x_i",
  "qualifiers": {
    "observedSnakCount": 1,
    "retainedSnaks": [
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        "datatype": "wikibase-item",
        "datavalue": {
          "type": "wikibase-entityid",
          "value": {
            "entity-type": "item",
            "id": "Q73454785",
            "numeric-id": 73454785
          }
        },
        "snaktype": "value"
      }
    ],
    "truncated": false
  }
}
```
Commons category: Gradient fieldsReference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
This names the relationship or attribute recorded by Wikidata. Any context shown beside it qualifies this particular statement.
Wikidata property P373
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P373",
  "literalValue": "Gradient fields"
}
```
Relationship name unavailable: \boldsymbol{e}_iReference count not carriedRecorded context: Relationship name unavailable: named value unavailable in this releaseThis statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
The readable name for this property is unavailable here. Its code and exact recorded value are preserved; the code alone does not explain the relationship.
Wikidata property P7235
No exact source locator is carried for this statement in this view.
Qualifiers
Relationship name unavailable: named value unavailable in this release
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P7235",
  "literalValue": "\\boldsymbol{e}_i",
  "qualifiers": {
    "observedSnakCount": 1,
    "retainedSnaks": [
      {
        "propertyPid": "P9758",
        "datatype": "wikibase-item",
        "datavalue": {
          "type": "wikibase-entityid",
          "value": {
            "entity-type": "item",
            "id": "Q109533641",
            "numeric-id": 109533641
          }
        },
        "snaktype": "value"
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    ],
    "truncated": false
  }
}
```
different from: nabla operatorReference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
This names the relationship or attribute recorded by Wikidata. Any context shown beside it qualifies this particular statement.
Wikidata property P1889
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P1889",
  "targetRef": "Q334508",
  "targetLabel": "nabla operator"
}
```
instance of: mathematical expressionReference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
This names the relationship or attribute recorded by Wikidata. Any context shown beside it qualifies this particular statement.
Wikidata property P31
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P31",
  "targetRef": "Q6498784",
  "targetLabel": "mathematical expression"
}
```
Relationship name unavailable: \nabla \varphi = \sum_i \boldsymbol{e}_i \frac{\partial \varphi}{\partial x_i}Reference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
The readable name for this property is unavailable here. Its code and exact recorded value are preserved; the code alone does not explain the relationship.
Wikidata property P2534
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P2534",
  "literalValue": "\\nabla \\varphi = \\sum_i \\boldsymbol{e}_i \\frac{\\partial \\varphi}{\\partial x_i}"
}
```
described by source: Armenian Soviet Encyclopedia, vol. 3Reference count not carriedRecorded context: Relationship name unavailable: 195This statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
A source recorded as describing this subject. This does not mean the source was inspected here or supports another statement.
Wikidata property P1343
No exact source locator is carried for this statement in this view.
Qualifiers
Relationship name unavailable: 195
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P1343",
  "targetRef": "Q124737616",
  "targetLabel": "Armenian Soviet Encyclopedia, vol. 3",
  "qualifiers": {
    "observedSnakCount": 1,
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        "datatype": "string",
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          "value": "195"
        },
        "snaktype": "value"
      }
    ],
    "truncated": false
  }
}
```
subclass of: differential operatorReference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
A broader class whose members include every member of this class. This is different from an individual being an instance of a class.
Wikidata property P279
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P279",
  "targetRef": "Q1058681",
  "targetLabel": "differential operator"
}
```
described by source: ISO 80000-2:2019 Quantities and units — Part 2: MathematicsReference count not carriedRecorded context: Relationship name unavailable: 2-18.14This statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
A source recorded as describing this subject. This does not mean the source was inspected here or supports another statement.
Wikidata property P1343
No exact source locator is carried for this statement in this view.
Qualifiers
Relationship name unavailable: 2-18.14
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P1343",
  "targetRef": "Q109490582",
  "targetLabel": "ISO 80000-2:2019 Quantities and units — Part 2: Mathematics",
  "qualifiers": {
    "observedSnakCount": 1,
    "retainedSnaks": [
      {
        "propertyPid": "P958",
        "datatype": "string",
        "datavalue": {
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          "value": "2-18.14"
        },
        "snaktype": "value"
      }
    ],
    "truncated": false
  }
}
```
subclass of: vector operatorReference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
A broader class whose members include every member of this class. This is different from an individual being an instance of a class.
Wikidata property P279
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P279",
  "targetRef": "Q7917838",
  "targetLabel": "vector operator"
}
```
subclass of: vector gradientReference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
A broader class whose members include every member of this class. This is different from an individual being an instance of a class.
Wikidata property P279
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P279",
  "targetRef": "Q89696115",
  "targetLabel": "vector gradient"
}
```
Relationship name unavailable: \nabla \varphiReference count not carriedRecorded context: Relationship name unavailable: gradientThis statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
The readable name for this property is unavailable here. Its code and exact recorded value are preserved; the code alone does not explain the relationship.
Wikidata property P7235
No exact source locator is carried for this statement in this view.
Qualifiers
Relationship name unavailable: gradient
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P7235",
  "literalValue": "\\nabla \\varphi",
  "qualifiers": {
    "observedSnakCount": 1,
    "retainedSnaks": [
      {
        "propertyPid": "P9758",
        "valueLabel": "gradient",
        "datatype": "wikibase-item",
        "datavalue": {
          "type": "wikibase-entityid",
          "value": {
            "entity-type": "item",
            "id": "Q173582",
            "numeric-id": 173582
          }
        },
        "snaktype": "value"
      }
    ],
    "truncated": false
  }
}
```
Relationship name unavailable: \varphiReference count not carriedRecorded context: Relationship name unavailable: named value unavailable in this releaseThis statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
The readable name for this property is unavailable here. Its code and exact recorded value are preserved; the code alone does not explain the relationship.
Wikidata property P7235
No exact source locator is carried for this statement in this view.
Qualifiers
Relationship name unavailable: named value unavailable in this release
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P7235",
  "literalValue": "\\varphi",
  "qualifiers": {
    "observedSnakCount": 1,
    "retainedSnaks": [
      {
        "propertyPid": "P9758",
        "datatype": "wikibase-item",
        "datavalue": {
          "type": "wikibase-entityid",
          "value": {
            "entity-type": "item",
            "id": "Q11893837",
            "numeric-id": 11893837
          }
        },
        "snaktype": "value"
      }
    ],
    "truncated": false
  }
}
```
Relationship name unavailable: WikiProject MathematicsReference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
The readable name for this property is unavailable here. Its code and exact recorded value are preserved; the code alone does not explain the relationship.
Wikidata property P6104
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P6104",
  "targetRef": "Q8487137",
  "targetLabel": "WikiProject Mathematics"
}
```
different from: vector gradientReference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
This names the relationship or attribute recorded by Wikidata. Any context shown beside it qualifies this particular statement.
Wikidata property P1889
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P1889",
  "targetRef": "Q89696115",
  "targetLabel": "vector gradient"
}
```

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Data and provenance

Wikidata entity IDs are external identifiers, not Counterpedia canonical subject identities. Rendering this page does not mint a governed identity. Release identities and artifact hashes identify the data used for this view; none establishes verification.

Provenance rows: 44
Acquisition repository: thelaplage/counterpedia-acquisition
Acquisition revision: e6add6a4d8e1668a9ac486407e52974724563ce1, 891f24c5cca64aa69b1dc1b2150e991b940171b0
Provider identity · Observation origin: Wikidata · External entity ID: Q173582 on Wikidata ↗
Served release: sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7

No exact claim–source–Check association has been supplied to this page. Recorded references do not establish verification.

graph_membership != truth
graph_edge != support
repeated_identifier != independent_corroboration
projection != admission
Serving a published subset: joined entities + 1-hop neighborhood of 35,994 exact Wikipedia–Wikidata title matches.

Carried provenance rows

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]

Classification identities

[
  {
    "classQid": "Q6498784",
    "label": "mathematical expression",
    "href": "/browse/types/Q6498784"
  }
]

Wikidata content CC0; Wikipedia titles CC BY-SA — attribution.

At a glance

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