quantitykind:Action

URI: http://qudt.org/vocab/quantitykind/Action

Type
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.

Properties
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 a 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:latexDefinition
$S = \int Ldt$, where $L$ is the Lagrange function and $t$ is time.
Annotations
rdfs:comment
Applicable units are those of quantitykind:Action
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.
rdfs:label
Action(en)
View as:  CSV

Work in progress

RDF/XML
<rdf:RDF
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:j.0="http://qudt.org/schema/qudt/"
    xmlns:j.1="http://purl.org/dc/terms/"
    xmlns:owl="http://www.w3.org/2002/07/owl#"
    xmlns:rdfs="http://www.w3.org/2000/01/rdf-schema#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="http://qudt.org/vocab/quantitykind/Action">
    <j.0:symbol>S</j.0:symbol>
    <j.0:isoNormativeReference rdf:datatype="http://www.w3.org/2001/XMLSchema#anyURI">http://www.iso.org/iso/catalogue_detail?csnumber=31889</j.0:isoNormativeReference>
    <j.1:description rdf:datatype="http://qudt.org/schema/qudt/LatexString">
  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.
  </j.1:description>
    <j.0:applicableUnit rdf:resource="http://qudt.org/vocab/unit/J-SEC"/>
    <j.0:informativeReference rdf:datatype="http://www.w3.org/2001/XMLSchema#anyURI">http://en.wikipedia.org/wiki/Action_(physics)</j.0:informativeReference>
    <j.0:applicableUnit rdf:resource="http://qudt.org/vocab/unit/AttoJ-SEC"/>
    <rdfs:comment>Applicable units are those of quantitykind:Action</rdfs:comment>
    <rdf:type rdf:resource="http://qudt.org/schema/qudt/QuantityKind"/>
    <j.0:latexDefinition rdf:datatype="http://qudt.org/schema/qudt/LatexString">$S = \int Ldt$, where $L$ is the Lagrange function and $t$ is time.</j.0:latexDefinition>
    <rdfs:label xml:lang="en">Action</rdfs:label>
    <j.0: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 a 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.</j.0:plainTextDescription>
    <rdfs:isDefinedBy rdf:resource="http://qudt.org/2.1/vocab/quantitykind"/>
    <j.0:hasDimensionVector rdf:resource="http://qudt.org/vocab/dimensionvector/A0E0L2I0M1H0T-1D0"/>
  </rdf:Description>
</rdf:RDF>
TURTLE
@prefix owl: <http://www.w3.org/2002/07/owl#> .
@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#> .

<http://qudt.org/vocab/quantitykind/Action>
  rdf:type <http://qudt.org/schema/qudt/QuantityKind> ;
  <http://purl.org/dc/terms/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.
  """^^<http://qudt.org/schema/qudt/LatexString> ;
  <http://qudt.org/schema/qudt/applicableUnit> <http://qudt.org/vocab/unit/AttoJ-SEC> ;
  <http://qudt.org/schema/qudt/applicableUnit> <http://qudt.org/vocab/unit/J-SEC> ;
  <http://qudt.org/schema/qudt/hasDimensionVector> <http://qudt.org/vocab/dimensionvector/A0E0L2I0M1H0T-1D0> ;
  <http://qudt.org/schema/qudt/informativeReference> "http://en.wikipedia.org/wiki/Action_(physics)"^^xsd:anyURI ;
  <http://qudt.org/schema/qudt/isoNormativeReference> "http://www.iso.org/iso/catalogue_detail?csnumber=31889"^^xsd:anyURI ;
  <http://qudt.org/schema/qudt/latexDefinition> "$S = \\int Ldt$, where $L$ is the Lagrange function and $t$ is time."^^<http://qudt.org/schema/qudt/LatexString> ;
  <http://qudt.org/schema/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 a 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.""" ;
  <http://qudt.org/schema/qudt/symbol> "S" ;
  rdfs:comment "Applicable units are those of quantitykind:Action" ;
  rdfs:isDefinedBy <http://qudt.org/2.1/vocab/quantitykind> ;
  rdfs:label "Action"@en ;
.
JSON
{"resource":"Action" 
 ,"qname":"quantitykind:Action" 
 ,"uri":"http:\/\/qudt.org\/vocab\/quantitykind\/Action" 
 ,"properties":["applicable unit":"unit:AttoJ-SEC" 
    ,"applicable unit":"unit:J-SEC" 
    ,"comment":"Applicable units are those of quantitykind:Action" 
    ,"description":"\n  An action is usually an integral over time. \n  But for action pertaining to fields, it may be integrated over spatial variables as well. \n  In some cases, the action is integrated along the path followed by the physical system.  \n  $$$$\n  The evolution of a physical system between two states is determined by requiring the action be minimized or, more generally, \n   be stationary for small perturbations about the true evolution.\n  This requirement leads to differential equations that describe the true evolution. \n  Conversely, an action principle is a method for reformulating differential equations of motion for a physical system as an equivalent integral equation. \n  Although several variants have been defined (see below), the most commonly used action principle is Hamilton's principle.\n  " 
    ,"description (plain text)":"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 a the path of the system between the initial time and the final time of the development of the system.\nThe 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." 
    ,"has dimension vector":"dimension:A0E0L2I0M1H0T-1D0" 
    ,"informative reference":"http:\/\/en.wikipedia.org\/wiki\/Action_(physics)" 
    ,"isDefinedBy":"&lt;http:\/\/qudt.org\/2.1\/vocab\/quantitykind&gt;" 
    ,"label":"Action" 
    ,"latex definition":"$S = \\int Ldt$, where $L$ is the Lagrange function and $t$ is time." 
    ,"normative reference (ISO)":"http:\/\/www.iso.org\/iso\/catalogue_detail?csnumber=31889" 
    ,"symbol":"S" 
    ,"type":"qudt:QuantityKind" 
    ]}
JSON-LD
{
  "@id" : "http://qudt.org/vocab/quantitykind/Action",
  "@type" : "http://qudt.org/schema/qudt/QuantityKind",
  "description" : "\n  An action is usually an integral over time. \n  But for action pertaining to fields, it may be integrated over spatial variables as well. \n  In some cases, the action is integrated along the path followed by the physical system.  \n  $$$$\n  The evolution of a physical system between two states is determined by requiring the action be minimized or, more generally, \n   be stationary for small perturbations about the true evolution.\n  This requirement leads to differential equations that describe the true evolution. \n  Conversely, an action principle is a method for reformulating differential equations of motion for a physical system as an equivalent integral equation. \n  Although several variants have been defined (see below), the most commonly used action principle is Hamilton's principle.\n  ",
  "applicableUnit" : [ "http://qudt.org/vocab/unit/J-SEC", "http://qudt.org/vocab/unit/AttoJ-SEC" ],
  "hasDimensionVector" : "http://qudt.org/vocab/dimensionvector/A0E0L2I0M1H0T-1D0",
  "informativeReference" : "http://en.wikipedia.org/wiki/Action_(physics)",
  "isoNormativeReference" : "http://www.iso.org/iso/catalogue_detail?csnumber=31889",
  "latexDefinition" : "$S = \\int Ldt$, where $L$ is the Lagrange function and $t$ is time.",
  "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 a the path of the system between the initial time and the final time of the development of the system.\nThe 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.",
  "symbol" : "S",
  "comment" : "Applicable units are those of quantitykind:Action",
  "isDefinedBy" : "http://qudt.org/2.1/vocab/quantitykind",
  "label" : {
    "@language" : "en",
    "@value" : "Action"
  },
  "@context" : {
    "symbol" : {
      "@id" : "http://qudt.org/schema/qudt/symbol"
    },
    "isoNormativeReference" : {
      "@id" : "http://qudt.org/schema/qudt/isoNormativeReference",
      "@type" : "http://www.w3.org/2001/XMLSchema#anyURI"
    },
    "description" : {
      "@id" : "http://purl.org/dc/terms/description",
      "@type" : "http://qudt.org/schema/qudt/LatexString"
    },
    "applicableUnit" : {
      "@id" : "http://qudt.org/schema/qudt/applicableUnit",
      "@type" : "@id"
    },
    "informativeReference" : {
      "@id" : "http://qudt.org/schema/qudt/informativeReference",
      "@type" : "http://www.w3.org/2001/XMLSchema#anyURI"
    },
    "comment" : {
      "@id" : "http://www.w3.org/2000/01/rdf-schema#comment"
    },
    "latexDefinition" : {
      "@id" : "http://qudt.org/schema/qudt/latexDefinition",
      "@type" : "http://qudt.org/schema/qudt/LatexString"
    },
    "label" : {
      "@id" : "http://www.w3.org/2000/01/rdf-schema#label"
    },
    "plainTextDescription" : {
      "@id" : "http://qudt.org/schema/qudt/plainTextDescription"
    },
    "isDefinedBy" : {
      "@id" : "http://www.w3.org/2000/01/rdf-schema#isDefinedBy",
      "@type" : "@id"
    },
    "hasDimensionVector" : {
      "@id" : "http://qudt.org/schema/qudt/hasDimensionVector",
      "@type" : "@id"
    },
    "rdf" : "http://www.w3.org/1999/02/22-rdf-syntax-ns#",
    "owl" : "http://www.w3.org/2002/07/owl#",
    "xsd" : "http://www.w3.org/2001/XMLSchema#",
    "rdfs" : "http://www.w3.org/2000/01/rdf-schema#"
  }
}

Generated 2024-11-15T17:20:06.078-05:00 by lmdoc version 1.1 with  TopBraid SPARQL Web Pages (SWP)