@prefix rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .
@prefix owl: <http://www.w3.org/2002/07/owl#> .
@prefix constant: <http://qudt.org/vocab/constant/> .
@prefix dc: <http://purl.org/dc/elements/1.1/> .
@prefix dcterms: <http://purl.org/dc/terms/> .
@prefix prov: <http://www.w3.org/ns/prov#> .
@prefix qkdv: <http://qudt.org/vocab/dimensionvector/> .
@prefix quantitykind: <http://qudt.org/vocab/quantitykind/> .
@prefix qudt: <http://qudt.org/schema/qudt/> .
@prefix si-quantity: <https://si-digital-framework.org/quantities/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix unit: <http://qudt.org/vocab/unit/> .
@prefix vaem: <http://www.linkedmodel.org/schema/vaem#> .
@prefix voag: <http://voag.linkedmodel.org/schema/voag#> .

quantitykind:Action
  a qudt:QuantityKind ;
  dcterms:description """An action is usually an integral over time. But for action pertaining to fields, it may be integrated
    over spatial variables as well. In some cases, the action is integrated along the path followed by the physical system. 
    The evolution of a physical system between two states is determined by requiring the action be minimized or, more generally,
    be stationary for small perturbations about the true evolution. This requirement leads to differential equations that describe
    the true evolution. Conversely, an action principle is a method for reformulating differential equations of motion for a
    physical system as an equivalent integral equation. Although several variants have been defined (see below), the most commonly
    used action principle is Hamilton's principle.
  """^^qudt:LatexString ;
  qudt:applicableUnit unit:AttoJ-SEC ;
  qudt:applicableUnit unit:J-SEC ;
  qudt:hasDimensionVector qkdv:A0E0L2I0M1H0T-1D0 ;
  qudt:informativeReference "https://en.wikipedia.org/wiki/Action_(physics)"^^xsd:anyURI ;
  qudt:isoNormativeReference "http://www.iso.org/iso/catalogue_detail?csnumber=31889"^^xsd:anyURI ;
  qudt:latexDefinition "$S = \\int Ldt$, where $L$ is the Lagrange function and $t$ is time."^^qudt:LatexString ;
  qudt:plainTextDescription """An action is usually an integral over time. But for action pertaining to fields, it may be
    integrated over spatial variables as well. In some cases, the action is integrated along the path followed by the physical
    system.  If the action is represented as an integral over time, taken over the path of the system between the initial time and
    the final time of the development of the system. The evolution of a physical system between two states is determined by
    requiring the action be minimized or, more generally, be stationary for small perturbations about the true evolution. This
    requirement leads to differential equations that describe the true evolution. Conversely, an action principle is a method for
    reformulating differential equations of motion for a physical system as an equivalent integral equation. Although several
    variants have been defined (see below), the most commonly used action principle is Hamilton's principle.
  """ ;
  qudt:symbol "S" ;
  qudt:wikidataMatch <http://www.wikidata.org/entity/Q846785> ;
  rdfs:comment "Applicable units are those of quantitykind:Action" ;
  rdfs:isDefinedBy <http://qudt.org/3.4.0/vocab/quantitykind> ;
  rdfs:label "Action"@en .
