quantitykind:Dimensionless

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

Type
Description

In dimensional analysis, a dimensionless quantity or quantity of dimension one is a quantity without an associated physical dimension. It is thus a "pure" number, and as such always has a dimension of 1. Dimensionless quantities are widely used in mathematics, physics, engineering, economics, and in everyday life (such as in counting). Numerous well-known quantities, such as \(\pi\), \(\epsilon\), and \(\psi\), are dimensionless. By contrast, non-dimensionless quantities are measured in units of length, area, time, etc. Dimensionless quantities are often defined as products or ratios of quantities that are not dimensionless, but whose dimensions cancel out when their powers are multiplied.

Properties
Annotations
dcterms:description
In dimensional analysis, a dimensionless quantity or quantity of dimension one is a quantity without an associated physical dimension. It is thus a "pure" number, and as such always has a dimension of 1. Dimensionless quantities are widely used in mathematics, physics, engineering, economics, and in everyday life (such as in counting). Numerous well-known quantities, such as \(\pi\), \(\epsilon\), and \(\psi\), are dimensionless. By contrast, non-dimensionless quantities are measured in units of length, area, time, etc. Dimensionless quantities are often defined as products or ratios of quantities that are not dimensionless, but whose dimensions cancel out when their powers are multiplied.
rdfs:label
Dimensionless(en)
View as:  CSV

Work in progress

RDF/XML
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    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/Dimensionless">
    <j.0:symbol>U</j.0:symbol>
    <j.0:applicableUnit rdf:resource="http://qudt.org/vocab/unit/KiloBYTE-PER-SEC"/>
    <j.0:baseUnitDimensions rdf:datatype="http://qudt.org/schema/qudt/LatexString">\(\)</j.0:baseUnitDimensions>
    <j.0:applicableUnit rdf:resource="http://qudt.org/vocab/unit/TeraBYTE"/>
    <j.0:applicableUnit rdf:resource="http://qudt.org/vocab/unit/SUSCEPTIBILITY_MAG"/>
    <j.0:applicableUnit rdf:resource="http://qudt.org/vocab/unit/ExaBYTE"/>
    <j.0:applicableUnit rdf:resource="http://qudt.org/vocab/unit/DECADE"/>
    <j.0:applicableUnit rdf:resource="http://qudt.org/vocab/unit/NP"/>
    <j.0:applicableUnit rdf:resource="http://qudt.org/vocab/unit/ExbiBYTE"/>
    <j.0:applicableUnit rdf:resource="http://qudt.org/vocab/unit/KiloBYTE"/>
    <j.0:applicableUnit rdf:resource="http://qudt.org/vocab/unit/GibiBYTE"/>
    <j.0:baseUnitDimensions rdf:datatype="http://qudt.org/schema/qudt/LatexString">\(U\)</j.0:baseUnitDimensions>
    <j.0:dbpediaMatch rdf:datatype="http://www.w3.org/2001/XMLSchema#anyURI">http://dbpedia.org/resource/Dimensionless_quantity</j.0:dbpediaMatch>
    <j.0:applicableUnit rdf:resource="http://qudt.org/vocab/unit/UNITLESS"/>
    <j.0:applicableUnit rdf:resource="http://qudt.org/vocab/unit/KibiBYTE"/>
    <rdfs:isDefinedBy rdf:resource="http://qudt.org/2.1/vocab/quantitykind"/>
    <j.0:applicableUnit rdf:resource="http://qudt.org/vocab/unit/TebiBYTE"/>
    <j.0:applicableUnit rdf:resource="http://qudt.org/vocab/unit/GigaBYTE"/>
    <j.1:description rdf:datatype="http://qudt.org/schema/qudt/LatexString">In dimensional analysis, a dimensionless quantity or quantity of dimension one is a quantity without an associated physical dimension. It is thus a "pure" number, and as such always has a dimension of 1. Dimensionless quantities are widely used in mathematics, physics, engineering, economics, and in everyday life (such as in counting). Numerous well-known quantities, such as \(\pi\), \(\epsilon\), and \(\psi\), are dimensionless. By contrast, non-dimensionless quantities are measured in units of length, area, time, etc. Dimensionless quantities are often defined as products or ratios of quantities that are not dimensionless, but whose dimensions cancel out when their powers are multiplied.</j.1:description>
    <j.0:applicableUnit rdf:resource="http://qudt.org/vocab/unit/SUSCEPTIBILITY_ELEC"/>
    <rdf:type rdf:resource="http://qudt.org/schema/qudt/QuantityKind"/>
    <j.0:applicableUnit rdf:resource="http://qudt.org/vocab/unit/OCT"/>
    <j.0:applicableUnit rdf:resource="http://qudt.org/vocab/unit/PetaBYTE"/>
    <j.0:hasDimensionVector rdf:resource="http://qudt.org/vocab/dimensionvector/A0E0L0I0M0H0T0D1"/>
    <j.0:applicableUnit rdf:resource="http://qudt.org/vocab/unit/MebiBYTE"/>
    <j.0:applicableUnit rdf:resource="http://qudt.org/vocab/unit/MegaBYTE"/>
    <j.0:applicableUnit rdf:resource="http://qudt.org/vocab/unit/NUM"/>
    <j.0:informativeReference rdf:datatype="http://www.w3.org/2001/XMLSchema#anyURI">http://en.wikipedia.org/wiki/Dimensionless_quantity</j.0:informativeReference>
    <j.0:applicableUnit rdf:resource="http://qudt.org/vocab/unit/PebiBYTE"/>
    <rdfs:label xml:lang="en">Dimensionless</rdfs:label>
  </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/Dimensionless>
  rdf:type <http://qudt.org/schema/qudt/QuantityKind> ;
  <http://purl.org/dc/terms/description> "In dimensional analysis, a dimensionless quantity or quantity of dimension one is a quantity without an associated physical dimension. It is thus a \"pure\" number, and as such always has a dimension of 1. Dimensionless quantities are widely used in mathematics, physics, engineering, economics, and in everyday life (such as in counting). Numerous well-known quantities, such as \\(\\pi\\), \\(\\epsilon\\), and \\(\\psi\\), are dimensionless. By contrast, non-dimensionless quantities are measured in units of length, area, time, etc. Dimensionless quantities are often defined as products or ratios of quantities that are not dimensionless, but whose dimensions cancel out when their powers are multiplied."^^<http://qudt.org/schema/qudt/LatexString> ;
  <http://qudt.org/schema/qudt/applicableUnit> <http://qudt.org/vocab/unit/DECADE> ;
  <http://qudt.org/schema/qudt/applicableUnit> <http://qudt.org/vocab/unit/ExaBYTE> ;
  <http://qudt.org/schema/qudt/applicableUnit> <http://qudt.org/vocab/unit/ExbiBYTE> ;
  <http://qudt.org/schema/qudt/applicableUnit> <http://qudt.org/vocab/unit/GibiBYTE> ;
  <http://qudt.org/schema/qudt/applicableUnit> <http://qudt.org/vocab/unit/GigaBYTE> ;
  <http://qudt.org/schema/qudt/applicableUnit> <http://qudt.org/vocab/unit/KibiBYTE> ;
  <http://qudt.org/schema/qudt/applicableUnit> <http://qudt.org/vocab/unit/KiloBYTE> ;
  <http://qudt.org/schema/qudt/applicableUnit> <http://qudt.org/vocab/unit/KiloBYTE-PER-SEC> ;
  <http://qudt.org/schema/qudt/applicableUnit> <http://qudt.org/vocab/unit/MebiBYTE> ;
  <http://qudt.org/schema/qudt/applicableUnit> <http://qudt.org/vocab/unit/MegaBYTE> ;
  <http://qudt.org/schema/qudt/applicableUnit> <http://qudt.org/vocab/unit/NP> ;
  <http://qudt.org/schema/qudt/applicableUnit> <http://qudt.org/vocab/unit/NUM> ;
  <http://qudt.org/schema/qudt/applicableUnit> <http://qudt.org/vocab/unit/OCT> ;
  <http://qudt.org/schema/qudt/applicableUnit> <http://qudt.org/vocab/unit/PebiBYTE> ;
  <http://qudt.org/schema/qudt/applicableUnit> <http://qudt.org/vocab/unit/PetaBYTE> ;
  <http://qudt.org/schema/qudt/applicableUnit> <http://qudt.org/vocab/unit/SUSCEPTIBILITY_ELEC> ;
  <http://qudt.org/schema/qudt/applicableUnit> <http://qudt.org/vocab/unit/SUSCEPTIBILITY_MAG> ;
  <http://qudt.org/schema/qudt/applicableUnit> <http://qudt.org/vocab/unit/TebiBYTE> ;
  <http://qudt.org/schema/qudt/applicableUnit> <http://qudt.org/vocab/unit/TeraBYTE> ;
  <http://qudt.org/schema/qudt/applicableUnit> <http://qudt.org/vocab/unit/UNITLESS> ;
  <http://qudt.org/schema/qudt/baseUnitDimensions> "\\(U\\)"^^<http://qudt.org/schema/qudt/LatexString> ;
  <http://qudt.org/schema/qudt/baseUnitDimensions> "\\(\\)"^^<http://qudt.org/schema/qudt/LatexString> ;
  <http://qudt.org/schema/qudt/dbpediaMatch> "http://dbpedia.org/resource/Dimensionless_quantity"^^xsd:anyURI ;
  <http://qudt.org/schema/qudt/hasDimensionVector> <http://qudt.org/vocab/dimensionvector/A0E0L0I0M0H0T0D1> ;
  <http://qudt.org/schema/qudt/informativeReference> "http://en.wikipedia.org/wiki/Dimensionless_quantity"^^xsd:anyURI ;
  <http://qudt.org/schema/qudt/symbol> "U" ;
  rdfs:isDefinedBy <http://qudt.org/2.1/vocab/quantitykind> ;
  rdfs:label "Dimensionless"@en ;
.
JSON
{"resource":"Dimensionless" 
 ,"qname":"quantitykind:Dimensionless" 
 ,"uri":"http:\/\/qudt.org\/vocab\/quantitykind\/Dimensionless" 
 ,"properties":["applicable unit":"unit:DECADE" 
    ,"applicable unit":"unit:ExaBYTE" 
    ,"applicable unit":"unit:ExbiBYTE" 
    ,"applicable unit":"unit:GibiBYTE" 
    ,"applicable unit":"unit:GigaBYTE" 
    ,"applicable unit":"unit:KibiBYTE" 
    ,"applicable unit":"unit:KiloBYTE" 
    ,"applicable unit":"unit:KiloBYTE-PER-SEC" 
    ,"applicable unit":"unit:MebiBYTE" 
    ,"applicable unit":"unit:MegaBYTE" 
    ,"applicable unit":"unit:NP" 
    ,"applicable unit":"unit:NUM" 
    ,"applicable unit":"unit:OCT" 
    ,"applicable unit":"unit:PebiBYTE" 
    ,"applicable unit":"unit:PetaBYTE" 
    ,"applicable unit":"unit:SUSCEPTIBILITY_ELEC" 
    ,"applicable unit":"unit:SUSCEPTIBILITY_MAG" 
    ,"applicable unit":"unit:TebiBYTE" 
    ,"applicable unit":"unit:TeraBYTE" 
    ,"applicable unit":"unit:UNITLESS" 
    ,"base unit dimensions":"\\(U\\)" 
    ,"base unit dimensions":"\\(\\)" 
    ,"dbpedia match":"http:\/\/dbpedia.org\/resource\/Dimensionless_quantity" 
    ,"description":"In dimensional analysis, a dimensionless quantity or quantity of dimension one is a quantity without an associated physical dimension. It is thus a \"pure\" number, and as such always has a dimension of 1. Dimensionless quantities are widely used in mathematics, physics, engineering, economics, and in everyday life (such as in counting). Numerous well-known quantities, such as \\(\\pi\\), \\(\\epsilon\\), and \\(\\psi\\), are dimensionless. By contrast, non-dimensionless quantities are measured in units of length, area, time, etc. Dimensionless quantities are often defined as products or ratios of quantities that are not dimensionless, but whose dimensions cancel out when their powers are multiplied." 
    ,"has dimension vector":"dimension:A0E0L0I0M0H0T0D1" 
    ,"informative reference":"http:\/\/en.wikipedia.org\/wiki\/Dimensionless_quantity" 
    ,"isDefinedBy":"&lt;http:\/\/qudt.org\/2.1\/vocab\/quantitykind&gt;" 
    ,"label":"Dimensionless" 
    ,"symbol":"U" 
    ,"type":"qudt:QuantityKind" 
    ]}
JSON-LD
{
  "@id" : "http://qudt.org/vocab/quantitykind/Dimensionless",
  "@type" : "http://qudt.org/schema/qudt/QuantityKind",
  "description" : "In dimensional analysis, a dimensionless quantity or quantity of dimension one is a quantity without an associated physical dimension. It is thus a \"pure\" number, and as such always has a dimension of 1. Dimensionless quantities are widely used in mathematics, physics, engineering, economics, and in everyday life (such as in counting). Numerous well-known quantities, such as \\(\\pi\\), \\(\\epsilon\\), and \\(\\psi\\), are dimensionless. By contrast, non-dimensionless quantities are measured in units of length, area, time, etc. Dimensionless quantities are often defined as products or ratios of quantities that are not dimensionless, but whose dimensions cancel out when their powers are multiplied.",
  "applicableUnit" : [ "http://qudt.org/vocab/unit/KiloBYTE-PER-SEC", "http://qudt.org/vocab/unit/TeraBYTE", "http://qudt.org/vocab/unit/SUSCEPTIBILITY_MAG", "http://qudt.org/vocab/unit/ExaBYTE", "http://qudt.org/vocab/unit/DECADE", "http://qudt.org/vocab/unit/NP", "http://qudt.org/vocab/unit/ExbiBYTE", "http://qudt.org/vocab/unit/KiloBYTE", "http://qudt.org/vocab/unit/GibiBYTE", "http://qudt.org/vocab/unit/UNITLESS", "http://qudt.org/vocab/unit/KibiBYTE", "http://qudt.org/vocab/unit/TebiBYTE", "http://qudt.org/vocab/unit/GigaBYTE", "http://qudt.org/vocab/unit/SUSCEPTIBILITY_ELEC", "http://qudt.org/vocab/unit/OCT", "http://qudt.org/vocab/unit/PetaBYTE", "http://qudt.org/vocab/unit/MebiBYTE", "http://qudt.org/vocab/unit/MegaBYTE", "http://qudt.org/vocab/unit/NUM", "http://qudt.org/vocab/unit/PebiBYTE" ],
  "baseUnitDimensions" : [ "\\(\\)", "\\(U\\)" ],
  "dbpediaMatch" : "http://dbpedia.org/resource/Dimensionless_quantity",
  "hasDimensionVector" : "http://qudt.org/vocab/dimensionvector/A0E0L0I0M0H0T0D1",
  "informativeReference" : "http://en.wikipedia.org/wiki/Dimensionless_quantity",
  "symbol" : "U",
  "isDefinedBy" : "http://qudt.org/2.1/vocab/quantitykind",
  "label" : {
    "@language" : "en",
    "@value" : "Dimensionless"
  },
  "@context" : {
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    },
    "dbpediaMatch" : {
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    },
    "isDefinedBy" : {
      "@id" : "http://www.w3.org/2000/01/rdf-schema#isDefinedBy",
      "@type" : "@id"
    },
    "description" : {
      "@id" : "http://purl.org/dc/terms/description",
      "@type" : "http://qudt.org/schema/qudt/LatexString"
    },
    "hasDimensionVector" : {
      "@id" : "http://qudt.org/schema/qudt/hasDimensionVector",
      "@type" : "@id"
    },
    "informativeReference" : {
      "@id" : "http://qudt.org/schema/qudt/informativeReference",
      "@type" : "http://www.w3.org/2001/XMLSchema#anyURI"
    },
    "label" : {
      "@id" : "http://www.w3.org/2000/01/rdf-schema#label"
    },
    "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#"
  }
}

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