# baseURI: http://qudt.org/2.1/schema/mathematics # imports: http://qudt.org/2.1/schema/qudt # imports: http://www.linkedmodel.org/schema/dtype # imports: http://www.linkedmodel.org/schema/vaem # imports: http://www.w3.org/2004/02/skos/core @prefix dc: . @prefix dcterms: . @prefix dtype: . @prefix owl: . @prefix prov: . @prefix quantitykind: . @prefix qudt: . @prefix rdf: . @prefix rdfs: . @prefix skos: . @prefix unit: . @prefix vaem: . @prefix voag: . @prefix xsd: . dcterms:contributor a rdf:Property ; rdfs:range xsd:string ; . dcterms:created a rdf:Property ; rdfs:label "created" ; rdfs:range xsd:date ; . dcterms:creator a rdf:Property ; a owl:AnnotationProperty ; rdfs:isDefinedBy ; rdfs:label "creator" ; rdfs:range xsd:string ; . dcterms:description a rdf:Property ; a owl:AnnotationProperty ; rdfs:label "description" ; rdfs:range xsd:string ; . dcterms:modified a rdf:Property ; rdfs:label "modified" ; rdfs:range xsd:date ; . dcterms:rights a owl:AnnotationProperty ; rdfs:label "rights" ; rdfs:range xsd:string ; . dcterms:source a owl:AnnotationProperty ; rdfs:isDefinedBy dcterms: ; rdfs:label "source" ; rdfs:range xsd:string ; . dcterms:subject a owl:AnnotationProperty ; rdfs:label "subject" ; rdfs:range xsd:string ; . dcterms:title a owl:AnnotationProperty ; rdfs:label "title" ; rdfs:range xsd:string ; . a owl:Ontology ; vaem:hasGraphMetadata qudt:GMD_QUDT-SCHEMA-MATHEMATICS ; rdfs:label "QUDT Mathematics Schema" ; owl:imports ; owl:imports ; owl:imports ; owl:imports ; owl:versionIRI ; . qudt:AngleUnit a owl:Class ; qudt:description "All units relating to specificaiton of angles. " ; rdfs:isDefinedBy ; rdfs:isDefinedBy qudt:mathematics ; rdfs:label "Angle unit" ; rdfs:subClassOf qudt:DimensionlessUnit ; skos:exactMatch ; . qudt:ConstantValue a owl:Class ; rdfs:isDefinedBy ; rdfs:isDefinedBy qudt:mathematics ; rdfs:label "Constant value" ; rdfs:subClassOf qudt:QuantityValue ; . qudt:CountingUnit a owl:Class ; qudt:description "All units about counts. Examples are Atomic Number, Number, Number per Year, Percent and Sample per Second." ; rdfs:isDefinedBy ; rdfs:isDefinedBy qudt:mathematics ; rdfs:label "Counting Unit" ; rdfs:subClassOf qudt:DimensionlessUnit ; skos:closeMatch ; . qudt:GMD_QUDT-SCHEMA-MATHEMATICS a vaem:GraphMetaData ; dcterms:contributor "Daniel Mekonnen" ; dcterms:contributor "David Price" ; dcterms:contributor "Irene Polikoff" ; dcterms:contributor "James E. Masters" ; dcterms:contributor "Steve Ray" ; dcterms:created "2019-03-10"^^xsd:date ; dcterms:creator "Ralph Hodgson" ; dcterms:description "The QUDT, or \"Quantity, Unit, Dimension and Type\" schema defines the base classes properties, and restrictions used for modeling physical quantities, units of measure, and their dimensions in various measurement systems. The goal of the QUDT ontology is to provide a unified model of, measurable quantities, units for measuring different kinds of quantities, the numerical values of quantities in different units of measure and the data structures and data types used to store and manipulate these objects in software. Except for unit prefixes, all units are specified in separate vocabularies. Descriptions are provided in both HTML and LaTeX formats. " ; dcterms:modified "2019-03-10T12:28:04.426-04:00"^^xsd:dateTime ; dcterms:rights "The QUDT Ontologies are issued under a Creative Commons Attribution 4.0 International License (CC BY 4.0), available at https://creativecommons.org/licenses/by/4.0/. Attribution should be made to QUDT.org" ; dcterms:subject "Mathematics Schema" ; dcterms:title "QUDT Schema for Mathematics - Version 2.1" ; vaem:hasGraphRole vaem:SchemaGraph ; vaem:hasOwner vaem:QUDT ; vaem:hasSteward vaem:QUDT ; vaem:intent "Specifies the schema for QUDT use of mathematics" ; vaem:isMetadataFor "http://qudt.org/2.1/schema/mathematics" ; vaem:latestPublishedVersion "http://www.qudt.org/doc/2021/12/DOC_SCHEMA-MATHEMATICS-v2.1.html"^^xsd:anyURI ; vaem:logo "http://www.linkedmodel.org/lib/lm/images/logos/qudt_logo-300x110.png"^^xsd:anyURI ; vaem:name "qudt" ; vaem:namespace "http://qudt.org/schema/qudt/" ; vaem:namespacePrefix "qudt" ; vaem:owner "QUDT.org" ; vaem:previousPublishedVersion "http://www.qudt.org/doc/2021/11/DOC_SCHEMA-MATHEMATICS-v2.1.html"^^xsd:anyURI ; vaem:revision "2.1" ; vaem:title "QUDT Schema for Mathematics - Version 2.1" ; vaem:turtleFileURL "http://qudt.org/2.1/schema/mathematics.ttl"^^xsd:anyURI ; vaem:usesNonImportedResource dcterms:abstract ; vaem:usesNonImportedResource dcterms:contributor ; vaem:usesNonImportedResource dcterms:created ; vaem:usesNonImportedResource dcterms:creator ; vaem:usesNonImportedResource dcterms:description ; vaem:usesNonImportedResource dcterms:modified ; vaem:usesNonImportedResource dcterms:rights ; vaem:usesNonImportedResource dcterms:source ; vaem:usesNonImportedResource dcterms:subject ; vaem:usesNonImportedResource dcterms:title ; vaem:usesNonImportedResource voag:QUDT-Attribution ; vaem:usesNonImportedResource skos:closeMatch ; vaem:usesNonImportedResource skos:exactMatch ; vaem:usesNonImportedResource prov:wasInfluencedBy ; vaem:withAttributionTo voag:QUDT-Attribution ; rdfs:isDefinedBy ; rdfs:isDefinedBy qudt:mathematics ; rdfs:label "QUDT Schema for Mathematics - Version 2.1" ; owl:versionIRI ; . qudt:GreekCharacter a owl:Class ; dc:source "http://www.charbase.com/block/greek-and-coptic" ; rdfs:isDefinedBy ; rdfs:isDefinedBy qudt:mathematics ; rdfs:label "Greek character" ; rdfs:subClassOf qudt:Symbol ; skos:prefLabel "Greek character" ; . qudt:MathsFunctionType a owl:Class ; rdfs:isDefinedBy ; rdfs:isDefinedBy qudt:mathematics ; rdfs:label "Maths Function Type" ; rdfs:subClassOf qudt:EnumeratedValue ; skos:prefLabel "Maths Algorithmn Type" ; . qudt:NominalScale a owl:Class ; qudt:description "mode, Chi-squared & One to One (equality (=)) & standard set structure (unordered)" ; rdfs:isDefinedBy ; rdfs:isDefinedBy qudt:mathematics ; rdfs:label "Nominal scale" ; rdfs:subClassOf qudt:Scale ; skos:prefLabel "Nominal scale" ; . qudt:PlaneAngleUnit a owl:Class ; rdfs:isDefinedBy ; rdfs:isDefinedBy qudt:mathematics ; rdfs:label "Plane Angle Unit" ; rdfs:subClassOf qudt:AngleUnit ; . qudt:STATS_CHI-SQUARED a qudt:MathsFunctionType ; qudt:literal "chi-squared" ; rdfs:isDefinedBy ; rdfs:isDefinedBy qudt:mathematics ; rdfs:label "Chi-squared" ; skos:prefLabel "Chi-squared" ; . qudt:STATS_COEFFICIENT-OF-VARIATION a qudt:MathsFunctionType ; qudt:literal "coefficient-of-variation" ; rdfs:isDefinedBy ; rdfs:isDefinedBy qudt:mathematics ; rdfs:label "Coefficient of Variation" ; skos:prefLabel "Coefficient of Variation" ; . qudt:STATS_CORRELATION a qudt:MathsFunctionType ; qudt:literal "correlation" ; rdfs:isDefinedBy ; rdfs:isDefinedBy qudt:mathematics ; rdfs:label "Correlation" ; skos:prefLabel "Correlation" ; . qudt:STATS_GEOMETRIC-MEAN a qudt:MathsFunctionType ; qudt:literal "geometric-mean" ; rdfs:isDefinedBy ; rdfs:isDefinedBy qudt:mathematics ; rdfs:label "Geometric Mean" ; skos:prefLabel "Geometric Mean" ; . qudt:STATS_HARMONIC-MEAN a qudt:MathsFunctionType ; qudt:literal "harmonic-mean" ; rdfs:isDefinedBy ; rdfs:isDefinedBy qudt:mathematics ; rdfs:label "Harmonic Mean" ; skos:prefLabel "Harmonic Mean" ; . qudt:STATS_LOGARITHMS a qudt:MathsFunctionType ; qudt:literal "logarithms" ; rdfs:isDefinedBy ; rdfs:isDefinedBy qudt:mathematics ; rdfs:label "Logarithms" ; skos:prefLabel "Logarithms" ; . qudt:STATS_MEAN a qudt:MathsFunctionType ; qudt:literal "mean" ; rdfs:isDefinedBy ; rdfs:isDefinedBy qudt:mathematics ; rdfs:label "Mean" ; skos:prefLabel "Mean" ; . qudt:STATS_MEDIAN a qudt:MathsFunctionType ; qudt:literal "median" ; rdfs:isDefinedBy ; rdfs:isDefinedBy qudt:mathematics ; rdfs:label "Median" ; skos:prefLabel "Median" ; . qudt:STATS_MODE a qudt:MathsFunctionType ; qudt:literal "mode" ; rdfs:isDefinedBy ; rdfs:isDefinedBy qudt:mathematics ; rdfs:label "Mode" ; skos:prefLabel "Mode" ; . qudt:STATS_ORDERED-SET a qudt:MathsFunctionType ; qudt:literal "ordered-set" ; rdfs:isDefinedBy ; rdfs:isDefinedBy qudt:mathematics ; rdfs:label "Ordered Set" ; skos:prefLabel "Ordered Set" ; . qudt:STATS_PERCENTILE a qudt:MathsFunctionType ; qudt:literal "percentile" ; rdfs:isDefinedBy ; rdfs:isDefinedBy qudt:mathematics ; rdfs:label "Percentile" ; skos:prefLabel "Percentile" ; . qudt:STATS_REGRESSION a qudt:MathsFunctionType ; qudt:literal "regression" ; rdfs:isDefinedBy ; rdfs:isDefinedBy qudt:mathematics ; rdfs:label "Regression" ; skos:prefLabel "Regression" ; . qudt:STATS_STANDARD-DEVIATION a qudt:MathsFunctionType ; qudt:literal "standard-deviation" ; rdfs:isDefinedBy ; rdfs:isDefinedBy qudt:mathematics ; rdfs:label "Standard Deviation" ; skos:prefLabel "Standard Deviation" ; . qudt:STATS_VARIANCE-ANALYSIS a qudt:MathsFunctionType ; qudt:literal "variance-analysis" ; rdfs:isDefinedBy ; rdfs:isDefinedBy qudt:mathematics ; rdfs:label "Variance Analysis" ; skos:prefLabel "Variance Analysis" ; . qudt:SolidAngleUnit a owl:Class ; qudt:description "The solid angle subtended by a surface S is defined as the surface area of a unit sphere covered by the surface S's projection onto the sphere. A solid angle is related to the surface of a sphere in the same way an ordinary angle is related to the circumference of a circle. Since the total surface area of the unit sphere is 4*pi, the measure of solid angle will always be between 0 and 4*pi." ; rdfs:isDefinedBy ; rdfs:isDefinedBy qudt:mathematics ; rdfs:label "Solid Angle Unit" ; rdfs:subClassOf qudt:AngleUnit ; . qudt:TT_AFFINE a qudt:TransformType ; qudt:description "In geometry, an affine transformation or affine map[ or an affinity is a transformation which preserves straight lines (i.e., all points lying on a line initially still lie on a line after transformation) and ratios of distances between points lying on a straight line (e.g., the midpoint of a line segment remains the midpoint after transformation). It does not necessarily preserve angles or lengths."^^rdf:HTML ; rdfs:isDefinedBy ; rdfs:isDefinedBy qudt:mathematics ; rdfs:label "Affine transformation" ; skos:prefLabel "Affine transformation" ; . qudt:TT_EQUALITY a qudt:TransformType ; rdfs:isDefinedBy ; rdfs:isDefinedBy qudt:mathematics ; rdfs:label "Equality" ; skos:prefLabel "Equality" ; . qudt:TT_MONOTONIC-ORDER a qudt:TransformType ; rdfs:isDefinedBy ; rdfs:isDefinedBy qudt:mathematics ; rdfs:label "Monotonic ordering" ; skos:prefLabel "Monotonic ordering" ; . qudt:TT_POSITIVE-SIMILARITIES a qudt:TransformType ; rdfs:isDefinedBy ; rdfs:isDefinedBy qudt:mathematics ; rdfs:label "Positive Similarities" ; skos:prefLabel "Positive Similarities" ; . qudt:TransformType a owl:Class ; rdfs:isDefinedBy ; rdfs:isDefinedBy qudt:mathematics ; rdfs:label "Transform type" ; rdfs:subClassOf qudt:EnumeratedValue ; skos:prefLabel "Transform type" ; . vaem:namespace "http://www.w3.org/2004/02/skos/core#"^^xsd:anyURI ; vaem:namespacePrefix "skos" ; . skos:closeMatch a rdf:Property ; rdfs:label "close match" ; . skos:exactMatch a rdf:Property ; rdfs:label "exact match" ; . prov:wasInfluencedBy a owl:ObjectProperty ; .