Property talk:P12457

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is invariant under
subject is unchanged by this process / function / group of transformation

Represents	invariant (Q188211)
Data type	Item
Domain	mathematical object (Q246672) or mathematical concept (Q24034552)
Example	Gaussian curvature (Q945953) → isometry (Q740207) mass (Q11423) → chemical reaction (Q36534) entropy (Q45003) → isentropic process (Q907271)
Tracking: usage	Category:Pages using Wikidata property P12457 (Q124982332)
See also	point group (P589), space group (P690)
Lists	Items with the most statements of this property Count of items by number of statements (chart) Items with the most statements Items with the fewest statements Count of items by number of sitelinks (chart) Items with the most sitelinks Items with the most sitelinks, but no link to one Wikipedia (sample: Welsh Wikipedia, cywiki) Items with the fewest sitelinks Most linked wikis Items with the most identifier properties By value of property Most statements Fewest statements Most sitelinks Most linked wikis Total of sitelinks on items Most identifiers Fewest identifiers Items with no other statements Most recently created items Items with novalue claims Items with unknown value claims Usage history (total) Usage history (main statement) Database reports/Constraint violations/P12457 Map Random list
Proposal discussion	Proposal discussion
Current uses	Total 51 Main statement 47 92.2% of uses Qualifier 4 7.8% of uses
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Scope is as main value (Q54828448), as reference (Q54828450): the property must be used by specified way only (Help)

Exceptions are possible as rare values may exist. Exceptions can be specified using exception to constraint (P2303).
List of violations of this constraint: Database reports/Constraint violations/P12457#Scope, SPARQL

Allowed entity types are Wikibase item (Q29934200): the property may only be used on a certain entity type (Help)

Exceptions are possible as rare values may exist. Exceptions can be specified using exception to constraint (P2303).
List of violations of this constraint: Database reports/Constraint violations/P12457#Entity types

Type “mathematical object (Q246672), mathematical concept (Q24034552)”: item must contain property “instance of (P31), subclass of (P279)” with classes “mathematical object (Q246672), mathematical concept (Q24034552)” or their subclasses (defined using subclass of (P279)). (Help)

Exceptions are possible as rare values may exist. Exceptions can be specified using exception to constraint (P2303).
List of violations of this constraint: Database reports/Constraint violations/P12457#Type Q246672, Q24034552, SPARQL

Value type “function (Q11348), group (Q83478), process (Q3249551)”: This property should use items as value that contain property “instance of (P31), subclass of (P279)”. On these, the value for instance of (P31), subclass of (P279) should be an item that uses subclass of (P279) with value function (Q11348), group (Q83478), process (Q3249551) (or a subclass thereof). (Help)

Exceptions are possible as rare values may exist. Exceptions can be specified using exception to constraint (P2303).
List of violations of this constraint: Database reports/Constraint violations/P12457#Value type Q11348, Q83478, Q3249551, SPARQL