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SWEET Ontology Representation Mathematics Operation

Metadata

URI
http://sweetontology.net/reprMathOperation
Version Information
3.6.0
Imports
http://sweetontology.net/proc
http://sweetontology.net/relaMath
http://sweetontology.net/reprMath
http://sweetontology.net/reprMathFunction
License
https://creativecommons.org/publicdomain/zero/1.0/
Ontology RDF
RDF (turtle)

Table of Contents

  1. Classes
  2. Object Properties
  3. Namespaces
  4. Legend

Classes

area integralc

URI http://sweetontology.net/reprMathOperation/AreaIntegral
Super-classes sorepmo:MultipleIntegralc

biharmonicc

URI http://sweetontology.net/reprMathOperation/Biharmonic
Super-classes sorepmo:VectorFieldOperationc

binary operationc

URI http://sweetontology.net/reprMathOperation/BinaryOperation
Super-classes sorepmo:Operationc
Restrictions sorelm:hasInput only sorepm:OrderedPairc
Sub-classes sorepmo:Multiplicationc
sorepmo:Subtractionc
sorepmo:Summationc
sorepmo:Divisionc

cross productc

URI http://sweetontology.net/reprMathOperation/CrossProduct
Super-classes sorepmo:VectorValuedOperationc
sorepmo:Productc
sorepmo:VectorFieldOperationc

definite integralc

URI http://sweetontology.net/reprMathOperation/DefiniteIntegral
Super-classes sorepmo:Integralc
Restrictions sorelm:hasIntervalop exactly 1

derivativec

URI http://sweetontology.net/reprMathOperation/Derivative
Super-classes sorepmo:OperationOnFunctionc
Restrictions sorelm:isDerivativeOf only sorepmf:Functionc
sorelm:derivativeWithRespectTo only sorepm:Variablec
sorelm:hasOutput only sorepmf:Functionc
Sub-classes sorepmo:Gradientc
sorepmo:PartialDerivativec
sorepmo:Slopec

differencec

URI http://sweetontology.net/reprMathOperation/Difference

differentiationc

URI http://sweetontology.net/reprMathOperation/Differentiation

divisionc

URI http://sweetontology.net/reprMathOperation/Division
Super-classes sorepmo:BinaryOperationc
Sub-classes sorepmo:Fractionc
sorepmo:Ratioc

dot productc

URI http://sweetontology.net/reprMathOperation/DotProduct
Super-classes sorepmo:Productc
sorepmo:VectorFieldOperationc
sorepmo:ScalarValuedOperationc

doublec

URI http://sweetontology.net/reprMathOperation/Double
Super-classes sorepmo:UnaryOperationc

fractionc

URI http://sweetontology.net/reprMathOperation/Fraction
Super-classes sorepmo:Divisionc

gradientc

URI http://sweetontology.net/reprMathOperation/Gradient
Super-classes sorepmo:VectorValuedOperationc
sorepmo:Derivativec

halfc

URI http://sweetontology.net/reprMathOperation/Half
Super-classes sorepmo:UnaryOperationc

indefinite integralc

URI http://sweetontology.net/reprMathOperation/IndefiniteIntegral
Super-classes sorepmo:Integralc
Restrictions sorelm:hasIntervalop exactly 0

inflection pointc

URI http://sweetontology.net/reprMathOperation/InflectionPoint
Super-classes sorepmo:Operationc

integralc

URI http://sweetontology.net/reprMathOperation/Integral
Super-classes sorepmo:OperationOnFunctionc
Restrictions sorelm:withRespectToop exactly 1
sorelm:hasFunctionop exactly 1
Sub-classes sorepmo:DefiniteIntegralc
sorepmo:IndefiniteIntegralc
sorepmo:LineIntegralc

integrationc

URI http://sweetontology.net/reprMathOperation/Integration

laplacianc

URI http://sweetontology.net/reprMathOperation/Laplacian
Super-classes sorepmo:VectorFieldOperationc

line integralc

URI http://sweetontology.net/reprMathOperation/LineIntegral
Super-classes sorepmo:Integralc

logarithmc

URI http://sweetontology.net/reprMathOperation/Logarithm
Super-classes sorepmo:UnaryOperationc

mathematical processc

URI http://sweetontology.net/reprMathOperation/MathematicalProcess
Super-classes soproc:Processc
Sub-classes sorepmo:Operationc

multiple integralc

URI http://sweetontology.net/reprMathOperation/MultipleIntegral
Super-classes sorepmo:OperationOnFunctionc
Restrictions sorelm:hasFunctionop some sorepmo:Integralc
Sub-classes sorepmo:SurfaceIntegralc
sorepmo:VolumeIntegralc
sorepmo:AreaIntegralc

multiplicationc

URI http://sweetontology.net/reprMathOperation/Multiplication
Super-classes sorepmo:BinaryOperationc

normalizationc

URI http://sweetontology.net/reprMathOperation/Normalization
Super-classes sorepmo:Operationc

operationc

URI http://sweetontology.net/reprMathOperation/Operation
Super-classes sorepmo:MathematicalProcessc
Sub-classes sorepmo:UnaryOperationc
sorepmo:SaddlePointc
sorepmo:OperationOnFunctionc
sorepmo:BinaryOperationc
sorepmo:InflectionPointc
sorepmo:TernaryOperationc
sorepmo:Normalizationc

operation on functionc

URI http://sweetontology.net/reprMathOperation/OperationOnFunction
Super-classes sorepmo:Operationc
Restrictions sorelm:hasInput only sorepmf:Functionc
Sub-classes sorepmo:VectorValuedOperationc
sorepmo:ScalarValuedOperationc
sorepmo:VectorFieldOperationc
sorepmo:TensorFieldOperationc
sorepmo:MultipleIntegralc
sorepmo:ScalarFieldOperationc
sorepmo:Integralc
sorepmo:Derivativec

partial derivativec

URI http://sweetontology.net/reprMathOperation/PartialDerivative
Super-classes sorepmo:Derivativec
sorepmo:VectorFieldOperationc

productc

URI http://sweetontology.net/reprMathOperation/Product
Sub-classes sorepmo:DotProductc
sorepmo:CrossProductc

quotientc

URI http://sweetontology.net/reprMathOperation/Quotient

ratioc

URI http://sweetontology.net/reprMathOperation/Ratio
Super-classes sorepmo:Divisionc

saddle pointc

URI http://sweetontology.net/reprMathOperation/SaddlePoint
Super-classes sorepmo:Operationc

scalar field operationc

URI http://sweetontology.net/reprMathOperation/ScalarFieldOperation
Super-classes sorepmo:OperationOnFunctionc
Restrictions sorelm:hasInput only sorepmf:ScalarFieldc

scalar valued operationc

URI http://sweetontology.net/reprMathOperation/ScalarValuedOperation
Super-classes sorepmo:OperationOnFunctionc
Restrictions sorelm:hasOutput only sorepmf:ScalarFieldc
Sub-classes sorepmo:DotProductc

slopec

URI http://sweetontology.net/reprMathOperation/Slope
Super-classes sorepmo:Derivativec

squarec

URI http://sweetontology.net/reprMathOperation/Square
Super-classes sorepmo:UnaryOperationc

square rootc

URI http://sweetontology.net/reprMathOperation/SquareRoot
Super-classes sorepmo:UnaryOperationc

subtractionc

URI http://sweetontology.net/reprMathOperation/Subtraction
Super-classes sorepmo:BinaryOperationc

sumc

URI http://sweetontology.net/reprMathOperation/Sum

summationc

URI http://sweetontology.net/reprMathOperation/Summation
Super-classes sorepmo:BinaryOperationc

surface integralc

URI http://sweetontology.net/reprMathOperation/SurfaceIntegral
Super-classes sorepmo:MultipleIntegralc

tensor field operationc

URI http://sweetontology.net/reprMathOperation/TensorFieldOperation
Super-classes sorepmo:OperationOnFunctionc
Restrictions sorelm:hasInput only sorepmf:TensorFieldc

ternary operationc

URI http://sweetontology.net/reprMathOperation/TernaryOperation
Super-classes sorepmo:Operationc
Restrictions sorelm:hasInput only sorepm:OrderedTriplec

unary operationc

URI http://sweetontology.net/reprMathOperation/UnaryOperation
Super-classes sorepmo:Operationc
Restrictions sorelm:hasInput only sorepm:Scalarc
Sub-classes sorepmo:Squarec
sorepmo:SquareRootc
sorepmo:Halfc
sorepmo:Doublec
sorepmo:Logarithmc

vector field operationc

URI http://sweetontology.net/reprMathOperation/VectorFieldOperation
Super-classes sorepmo:OperationOnFunctionc
Restrictions sorelm:hasInput only sorepmf:VectorFieldc
Sub-classes sorepmo:PartialDerivativec
sorepmo:DotProductc
sorepmo:Laplacianc
sorepmo:CrossProductc
sorepmo:Biharmonicc

vector valued operationc

URI http://sweetontology.net/reprMathOperation/VectorValuedOperation
Super-classes sorepmo:OperationOnFunctionc
Restrictions sorelm:hasOutput only sorepmf:VectorFieldc
Sub-classes sorepmo:Gradientc
sorepmo:CrossProductc

volume integralc

URI http://sweetontology.net/reprMathOperation/VolumeIntegral
Super-classes sorepmo:MultipleIntegralc

Object Properties

hasFunctionop

URI http://sweetontology.net/relaMath/hasFunction

hasIntervalop

URI http://sweetontology.net/relaMath/hasInterval

withRespectToop

URI http://sweetontology.net/relaMath/withRespectTo

Named Individuals

Namespaces

dcterms
http://purl.org/dc/terms/
owl
http://www.w3.org/2002/07/owl#
prov
http://www.w3.org/ns/prov#
rdf
http://www.w3.org/1999/02/22-rdf-syntax-ns#
rdfs
http://www.w3.org/2000/01/rdf-schema#
sdo
https://schema.org/
skos
http://www.w3.org/2004/02/skos/core#
soproc
http://sweetontology.net/proc/
sorelm
http://sweetontology.net/relaMath/
sorepm
http://sweetontology.net/reprMath/
sorepmf
http://sweetontology.net/reprMathFunction/
sorepmo
http://sweetontology.net/reprMathOperation/
xsd
http://www.w3.org/2001/XMLSchema#

Legend

cClasses
opObject Properties
fpFunctional Properties
dpData Properties
dpAnnotation Properties
pProperties
niNamed Individuals