quantitykind:LagrangeFunction

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

Type
Description

Properties
qudt:plainTextDescription
The Lagrange Function is a function that summarizes the dynamics of the system.
qudt:latexDefinition
\(L(q_i, \dot{q_i}) = T(q_i, \dot{q_i}) - V(q_i)\), where \(T\) is kinetic energy, \(V\) is potential energy, \(q_i\) is a generalized coordinate, and \(\dot{q_i}\) is a generalized velocity.
Annotations
rdfs:label
Lagrange Function(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: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/LagrangeFunction">
    <rdfs:isDefinedBy rdf:resource="http://qudt.org/2.1/vocab/quantitykind"/>
    <j.0:informativeReference rdf:datatype="http://www.w3.org/2001/XMLSchema#anyURI">http://www.electropedia.org/iev/iev.nsf/display?openform&amp;ievref=113-03-76</j.0:informativeReference>
    <rdfs:label xml:lang="en">Lagrange Function</rdfs:label>
    <j.0:plainTextDescription>The Lagrange Function is a function that summarizes the dynamics of the system.</j.0:plainTextDescription>
    <j.0:symbol>L</j.0:symbol>
    <j.0:applicableUnit rdf:resource="http://qudt.org/vocab/unit/J"/>
    <j.0:latexDefinition rdf:datatype="http://qudt.org/schema/qudt/LatexString">\(L(q_i, \dot{q_i}) = T(q_i, \dot{q_i}) - V(q_i)\), where \(T\) is kinetic energy, \(V\) is potential energy, \(q_i\) is a generalized coordinate, and \(\dot{q_i}\) is a generalized velocity.</j.0:latexDefinition>
    <rdf:type rdf:resource="http://qudt.org/schema/qudt/QuantityKind"/>
    <j.0:informativeReference rdf:datatype="http://www.w3.org/2001/XMLSchema#anyURI">http://en.wikipedia.org/wiki/Lagrangian</j.0:informativeReference>
    <j.0:hasDimensionVector rdf:resource="http://qudt.org/vocab/dimensionvector/A0E0L2I0M1H0T-2D0"/>
    <j.0:isoNormativeReference rdf:datatype="http://www.w3.org/2001/XMLSchema#anyURI">http://www.iso.org/iso/catalogue_detail?csnumber=31889</j.0:isoNormativeReference>
  </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/LagrangeFunction>
  rdf:type <http://qudt.org/schema/qudt/QuantityKind> ;
  <http://qudt.org/schema/qudt/applicableUnit> <http://qudt.org/vocab/unit/J> ;
  <http://qudt.org/schema/qudt/hasDimensionVector> <http://qudt.org/vocab/dimensionvector/A0E0L2I0M1H0T-2D0> ;
  <http://qudt.org/schema/qudt/informativeReference> "http://en.wikipedia.org/wiki/Lagrangian"^^xsd:anyURI ;
  <http://qudt.org/schema/qudt/informativeReference> "http://www.electropedia.org/iev/iev.nsf/display?openform&ievref=113-03-76"^^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> "\\(L(q_i, \\dot{q_i}) = T(q_i, \\dot{q_i}) - V(q_i)\\), where \\(T\\) is kinetic energy, \\(V\\) is potential energy, \\(q_i\\) is a generalized coordinate, and \\(\\dot{q_i}\\) is a generalized velocity."^^<http://qudt.org/schema/qudt/LatexString> ;
  <http://qudt.org/schema/qudt/plainTextDescription> "The Lagrange Function is a function that summarizes the dynamics of the system." ;
  <http://qudt.org/schema/qudt/symbol> "L" ;
  rdfs:isDefinedBy <http://qudt.org/2.1/vocab/quantitykind> ;
  rdfs:label "Lagrange Function"@en ;
.
JSON
{"resource":"Lagrange Function" 
 ,"qname":"quantitykind:LagrangeFunction" 
 ,"uri":"http:\/\/qudt.org\/vocab\/quantitykind\/LagrangeFunction" 
 ,"properties":["applicable unit":"unit:J" 
    ,"description (plain text)":"The Lagrange Function is a function that summarizes the dynamics of the system." 
    ,"has dimension vector":"dimension:A0E0L2I0M1H0T-2D0" 
    ,"informative reference":"http:\/\/en.wikipedia.org\/wiki\/Lagrangian" 
    ,"informative reference":"http:\/\/www.electropedia.org\/iev\/iev.nsf\/display?openform&amp;ievref=113-03-76" 
    ,"isDefinedBy":"&lt;http:\/\/qudt.org\/2.1\/vocab\/quantitykind&gt;" 
    ,"label":"Lagrange Function" 
    ,"latex definition":"\\(L(q_i, \\dot{q_i}) = T(q_i, \\dot{q_i}) - V(q_i)\\), where \\(T\\) is kinetic energy, \\(V\\) is potential energy, \\(q_i\\) is a generalized coordinate, and \\(\\dot{q_i}\\) is a generalized velocity." 
    ,"normative reference (ISO)":"http:\/\/www.iso.org\/iso\/catalogue_detail?csnumber=31889" 
    ,"symbol":"L" 
    ,"type":"qudt:QuantityKind" 
    ]}
JSON-LD
{
  "@id" : "http://qudt.org/vocab/quantitykind/LagrangeFunction",
  "@type" : "http://qudt.org/schema/qudt/QuantityKind",
  "applicableUnit" : "http://qudt.org/vocab/unit/J",
  "hasDimensionVector" : "http://qudt.org/vocab/dimensionvector/A0E0L2I0M1H0T-2D0",
  "informativeReference" : [ "http://www.electropedia.org/iev/iev.nsf/display?openform&ievref=113-03-76", "http://en.wikipedia.org/wiki/Lagrangian" ],
  "isoNormativeReference" : "http://www.iso.org/iso/catalogue_detail?csnumber=31889",
  "latexDefinition" : "\\(L(q_i, \\dot{q_i}) = T(q_i, \\dot{q_i}) - V(q_i)\\), where \\(T\\) is kinetic energy, \\(V\\) is potential energy, \\(q_i\\) is a generalized coordinate, and \\(\\dot{q_i}\\) is a generalized velocity.",
  "plainTextDescription" : "The Lagrange Function is a function that summarizes the dynamics of the system.",
  "symbol" : "L",
  "isDefinedBy" : "http://qudt.org/2.1/vocab/quantitykind",
  "label" : {
    "@language" : "en",
    "@value" : "Lagrange Function"
  },
  "@context" : {
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    },
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    },
    "plainTextDescription" : {
      "@id" : "http://qudt.org/schema/qudt/plainTextDescription"
    },
    "symbol" : {
      "@id" : "http://qudt.org/schema/qudt/symbol"
    },
    "applicableUnit" : {
      "@id" : "http://qudt.org/schema/qudt/applicableUnit",
      "@type" : "@id"
    },
    "latexDefinition" : {
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      "@type" : "http://qudt.org/schema/qudt/LatexString"
    },
    "hasDimensionVector" : {
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      "@type" : "@id"
    },
    "isoNormativeReference" : {
      "@id" : "http://qudt.org/schema/qudt/isoNormativeReference",
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    },
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    "xsd" : "http://www.w3.org/2001/XMLSchema#",
    "rdfs" : "http://www.w3.org/2000/01/rdf-schema#"
  }
}

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