qudt:QuantityKindDimensionVector

URI: http://qudt.org/schema/qudt/QuantityKindDimensionVector

Type
Description

$\text{Quantity Kind Dimension Vector}$ describes the dimensionality of a quantity kind in the context of a system of units. In the SI system of units, the dimensions of a quantity kind are expressed as a product of the basic physical dimensions mass ($M$), length ($L$), time ($T$) current ($I$), amount of substance ($N$), luminous intensity ($J$) and absolute temperature ($\theta$) as $dim \, Q = L^{\alpha} \, M^{\beta} \, T^{\gamma} \, I ^{\delta} \, \theta ^{\epsilon} \, N^{\eta} \, J ^{\nu}$. The rational powers of the dimensional exponents, $\alpha, \, \beta, \, \gamma, \, \delta, \, \epsilon, \, \eta, \, \nu$, are positive, negative, or zero. For example, the dimension of the physical quantity kind $\it{speed}$ is $\boxed{length/time}$, $L/T$ or $LT^{-1}$, and the dimension of the physical quantity kind force is $\boxed{mass \times acceleration}$ or $\boxed{mass \times (length/time)/time}$, $ML/T^2$ or $MLT^{-2}$ respectively.

Properties
sh:property
rdfs:subClassOf 
`dimension exponent for amount of substance` exactly 1
`dimension exponent for electric current` exactly 1
`dimension exponent for length` exactly 1
`dimension exponent for luminous intensity` exactly 1
`dimension exponent for mass` exactly 1
`dimension exponent for thermodynamic temperature` exactly 1
`dimension exponent for time` exactly 1
`dimensionless exponent` exactly 1
`has reference quantity kind` only `Quantity Kind`
`latex definition` max 1
`latex symbol` min 0
rdf:type
Annotations
rdfs:comment

A Quantity Kind Dimension Vector describes the dimensionality of a quantity kind in the context of a system of units. In the SI system of units, the dimensions of a quantity kind are expressed as a product of the basic physical dimensions mass ($M$), length ($L$), time ($T$) current ($I$), amount of substance ($N$), luminous intensity ($J$) and absolute temperature ($\theta$) as $dim \, Q = L^{\alpha} \, M^{\beta} \, T^{\gamma} \, I ^{\delta} \, \theta ^{\epsilon} \, N^{\eta} \, J ^{\nu}$.

The rational powers of the dimensional exponents, $\alpha, \, \beta, \, \gamma, \, \delta, \, \epsilon, \, \eta, \, \nu$, are positive, negative, or zero.

For example, the dimension of the physical quantity kind $\it{speed}$ is $\boxed{length/time}$, $L/T$ or $LT^{-1}$, and the dimension of the physical quantity kind force is $\boxed{mass \times acceleration}$ or $\boxed{mass \times (length/time)/time}$, $ML/T^2$ or $MLT^{-2}$ respectively.

dcterms:description
$\text{Quantity Kind Dimension Vector}$ describes the dimensionality of a quantity kind in the context of a system of units. In the SI system of units, the dimensions of a quantity kind are expressed as a product of the basic physical dimensions mass ($M$), length ($L$), time ($T$) current ($I$), amount of substance ($N$), luminous intensity ($J$) and absolute temperature ($\theta$) as $dim \, Q = L^{\alpha} \, M^{\beta} \, T^{\gamma} \, I ^{\delta} \, \theta ^{\epsilon} \, N^{\eta} \, J ^{\nu}$. The rational powers of the dimensional exponents, $\alpha, \, \beta, \, \gamma, \, \delta, \, \epsilon, \, \eta, \, \nu$, are positive, negative, or zero. For example, the dimension of the physical quantity kind $\it{speed}$ is $\boxed{length/time}$, $L/T$ or $LT^{-1}$, and the dimension of the physical quantity kind force is $\boxed{mass \times acceleration}$ or $\boxed{mass \times (length/time)/time}$, $ML/T^2$ or $MLT^{-2}$ respectively.
qudt:informativeReference
http://en.wikipedia.org/wiki/Dimensional_analysis
http://web.mit.edu/2.25/www/pdf/DA_unified.pdf
rdfs:isDefinedBy
rdfs:label
Quantity Kind Dimension Vector
View as:  CSV

Work in progress

RDF/XML 
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 $\text{Quantity Kind Dimension Vector}$ describes the dimensionality of a quantity kind in the context of a system of units. 
 In the SI system of units, the dimensions of a quantity kind are expressed as a product of the basic
  physical dimensions mass ($M$), length ($L$), time ($T$) current ($I$), amount of substance ($N$),
   luminous intensity ($J$) and absolute temperature 
   ($\theta$) as $dim \, Q = L^{\alpha} \, M^{\beta} \, T^{\gamma} \, I ^{\delta} \, \theta ^{\epsilon} \, N^{\eta} \, J ^{\nu}$.


  The rational powers of the dimensional exponents, $\alpha, \, \beta, \, \gamma, \, \delta, \, \epsilon, \, \eta, \, \nu$, are positive, negative, or zero.

  For example, the dimension of the physical quantity kind $\it{speed}$ is $\boxed{length/time}$, $L/T$ or $LT^{-1}$,
   and the dimension of the physical quantity kind force is $\boxed{mass \times acceleration}$ or $\boxed{mass \times (length/time)/time}$, $ML/T^2$ or $MLT^{-2}$ respectively.
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    <rdfs:comment rdf:datatype="http://www.w3.org/1999/02/22-rdf-syntax-ns#HTML">&lt;p class="lm-para"&gt;A  &lt;em&gt;Quantity Kind Dimension Vector&lt;/em&gt; describes the dimensionality of a quantity kind in the context of a system of units. In the SI system of units, the dimensions of a quantity kind are expressed as a product of the basic physical dimensions mass ($M$), length ($L$), time ($T$) current ($I$), amount of substance ($N$), luminous intensity ($J$) and absolute temperature ($\theta$) as $dim \, Q = L^{\alpha} \, M^{\beta} \, T^{\gamma} \, I ^{\delta} \, \theta ^{\epsilon} \, N^{\eta} \, J ^{\nu}$.&lt;/p&gt;

&lt;p class="lm-para"&gt;The rational powers of the dimensional exponents, $\alpha, \, \beta, \, \gamma, \, \delta, \, \epsilon, \, \eta, \, \nu$, are positive, negative, or zero.&lt;/p&gt;

&lt;p class="lm-para"&gt;For example, the dimension of the physical quantity kind $\it{speed}$ is $\boxed{length/time}$, $L/T$ or $LT^{-1}$, and the dimension of the physical quantity kind force is $\boxed{mass \times acceleration}$ or $\boxed{mass \times (length/time)/time}$, $ML/T^2$ or $MLT^{-2}$ respectively.&lt;/p&gt;</rdfs:comment>
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TURTLE 
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 $\\text{Quantity Kind Dimension Vector}$ describes the dimensionality of a quantity kind in the context of a system of units. 
 In the SI system of units, the dimensions of a quantity kind are expressed as a product of the basic
  physical dimensions mass ($M$), length ($L$), time ($T$) current ($I$), amount of substance ($N$),
   luminous intensity ($J$) and absolute temperature 
   ($\\theta$) as $dim \\, Q = L^{\\alpha} \\, M^{\\beta} \\, T^{\\gamma} \\, I ^{\\delta} \\, \\theta ^{\\epsilon} \\, N^{\\eta} \\, J ^{\\nu}$.


  The rational powers of the dimensional exponents, $\\alpha, \\, \\beta, \\, \\gamma, \\, \\delta, \\, \\epsilon, \\, \\eta, \\, \\nu$, are positive, negative, or zero.

  For example, the dimension of the physical quantity kind $\\it{speed}$ is $\\boxed{length/time}$, $L/T$ or $LT^{-1}$,
   and the dimension of the physical quantity kind force is $\\boxed{mass \\times acceleration}$ or $\\boxed{mass \\times (length/time)/time}$, $ML/T^2$ or $MLT^{-2}$ respectively.
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  rdfs:comment """<p class=\"lm-para\">A  <em>Quantity Kind Dimension Vector</em> describes the dimensionality of a quantity kind in the context of a system of units. In the SI system of units, the dimensions of a quantity kind are expressed as a product of the basic physical dimensions mass ($M$), length ($L$), time ($T$) current ($I$), amount of substance ($N$), luminous intensity ($J$) and absolute temperature ($\\theta$) as $dim \\, Q = L^{\\alpha} \\, M^{\\beta} \\, T^{\\gamma} \\, I ^{\\delta} \\, \\theta ^{\\epsilon} \\, N^{\\eta} \\, J ^{\\nu}$.</p>

<p class=\"lm-para\">The rational powers of the dimensional exponents, $\\alpha, \\, \\beta, \\, \\gamma, \\, \\delta, \\, \\epsilon, \\, \\eta, \\, \\nu$, are positive, negative, or zero.</p>

<p class=\"lm-para\">For example, the dimension of the physical quantity kind $\\it{speed}$ is $\\boxed{length/time}$, $L/T$ or $LT^{-1}$, and the dimension of the physical quantity kind force is $\\boxed{mass \\times acceleration}$ or $\\boxed{mass \\times (length/time)/time}$, $ML/T^2$ or $MLT^{-2}$ respectively.</p>"""^^rdf:HTML ;
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  <http://www.w3.org/ns/shacl#property> <http://qudt.org/schema/qudt/QuantityKindDimensionVector-dimensionExponentForLuminousIntensity> ;
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  <http://www.w3.org/ns/shacl#property> <http://qudt.org/schema/qudt/QuantityKindDimensionVector-dimensionExponentForThermodynamicTemperature> ;
  <http://www.w3.org/ns/shacl#property> <http://qudt.org/schema/qudt/QuantityKindDimensionVector-dimensionExponentForTime> ;
  <http://www.w3.org/ns/shacl#property> <http://qudt.org/schema/qudt/QuantityKindDimensionVector-dimensionlessExponent> ;
  <http://www.w3.org/ns/shacl#property> <http://qudt.org/schema/qudt/QuantityKindDimensionVector-hasReferenceQuantityKind> ;
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  <http://www.w3.org/ns/shacl#property> <http://qudt.org/schema/qudt/QuantityKindDimensionVector-latexSymbol> ;
.
JSON 
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 ,"properties":["comment":"&lt;p class=\"lm-para\"&gt;A  &lt;em&gt;Quantity Kind Dimension Vector&lt;\/em&gt; describes the dimensionality of a quantity kind in the context of a system of units. In the SI system of units, the dimensions of a quantity kind are expressed as a product of the basic physical dimensions mass ($M$), length ($L$), time ($T$) current ($I$), amount of substance ($N$), luminous intensity ($J$) and absolute temperature ($\\theta$) as $dim \\, Q = L^{\\alpha} \\, M^{\\beta} \\, T^{\\gamma} \\, I ^{\\delta} \\, \\theta ^{\\epsilon} \\, N^{\\eta} \\, J ^{\\nu}$.&lt;\/p&gt;\n\n&lt;p class=\"lm-para\"&gt;The rational powers of the dimensional exponents, $\\alpha, \\, \\beta, \\, \\gamma, \\, \\delta, \\, \\epsilon, \\, \\eta, \\, \\nu$, are positive, negative, or zero.&lt;\/p&gt;\n\n&lt;p class=\"lm-para\"&gt;For example, the dimension of the physical quantity kind $\\it{speed}$ is $\\boxed{length\/time}$, $L\/T$ or $LT^{-1}$, and the dimension of the physical quantity kind force is $\\boxed{mass \\times acceleration}$ or $\\boxed{mass \\times (length\/time)\/time}$, $ML\/T^2$ or $MLT^{-2}$ respectively.&lt;\/p&gt;" 
    ,"description":"\n $\\text{Quantity Kind Dimension Vector}$ describes the dimensionality of a quantity kind in the context of a system of units. \n In the SI system of units, the dimensions of a quantity kind are expressed as a product of the basic\n  physical dimensions mass ($M$), length ($L$), time ($T$) current ($I$), amount of substance ($N$),\n   luminous intensity ($J$) and absolute temperature \n   ($\\theta$) as $dim \\, Q = L^{\\alpha} \\, M^{\\beta} \\, T^{\\gamma} \\, I ^{\\delta} \\, \\theta ^{\\epsilon} \\, N^{\\eta} \\, J ^{\\nu}$.\n\n\n  The rational powers of the dimensional exponents, $\\alpha, \\, \\beta, \\, \\gamma, \\, \\delta, \\, \\epsilon, \\, \\eta, \\, \\nu$, are positive, negative, or zero.\n\n  For example, the dimension of the physical quantity kind $\\it{speed}$ is $\\boxed{length\/time}$, $L\/T$ or $LT^{-1}$,\n   and the dimension of the physical quantity kind force is $\\boxed{mass \\times acceleration}$ or $\\boxed{mass \\times (length\/time)\/time}$, $ML\/T^2$ or $MLT^{-2}$ respectively.\n " 
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JSON-LD 
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  "description" : "\n $\\text{Quantity Kind Dimension Vector}$ describes the dimensionality of a quantity kind in the context of a system of units. \n In the SI system of units, the dimensions of a quantity kind are expressed as a product of the basic\n  physical dimensions mass ($M$), length ($L$), time ($T$) current ($I$), amount of substance ($N$),\n   luminous intensity ($J$) and absolute temperature \n   ($\\theta$) as $dim \\, Q = L^{\\alpha} \\, M^{\\beta} \\, T^{\\gamma} \\, I ^{\\delta} \\, \\theta ^{\\epsilon} \\, N^{\\eta} \\, J ^{\\nu}$.\n\n\n  The rational powers of the dimensional exponents, $\\alpha, \\, \\beta, \\, \\gamma, \\, \\delta, \\, \\epsilon, \\, \\eta, \\, \\nu$, are positive, negative, or zero.\n\n  For example, the dimension of the physical quantity kind $\\it{speed}$ is $\\boxed{length/time}$, $L/T$ or $LT^{-1}$,\n   and the dimension of the physical quantity kind force is $\\boxed{mass \\times acceleration}$ or $\\boxed{mass \\times (length/time)/time}$, $ML/T^2$ or $MLT^{-2}$ respectively.\n ",
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