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QUDT An OWL Ontology for Q uantities , U nits, D imensions and Data T ypes

QUDT An OWL Ontology for Q uantities , U nits, D imensions and Data T ypes. Han Wang April 3 rd , 2013. Introduction. Developed by TopQuadrant and NASA for NASA Exploration Initiatives Ontology Models ( NExIOM ) project.

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QUDT An OWL Ontology for Q uantities , U nits, D imensions and Data T ypes

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  1. QUDTAn OWL Ontology for Quantities, Units, Dimensions and Data Types Han Wang April 3rd, 2013

  2. Introduction • Developed by TopQuadrant and NASA for NASA Exploration Initiatives Ontology Models (NExIOM) project. • A unified model of physical quantities, units of measure, and their dimensions in various measurement systems.

  3. Classes http://qudt.org/

  4. Classes – cont’d • Quantity • An observable property of an object, event or system that can be measured and quantified numerically. • Differentiated by two attributes: quantityKindand quantityValue. • If two quantities are of the same kind, their magnitudes (values) can be compared and ordered.

  5. Classes – cont’d • QuantityKind • Any observable property that can be measured and quantified numerically. • E.g. length, mass, currency, interest rate, etc. • QuantityValue • The numerical value of a quantity with respect to a chosen unit of measure.

  6. Classes – cont’d • Unit • A particular quantity of a given kind that has been chosen as a scale for measuring other quantities of the same kind.

  7. Classes – cont’d • SystemOfQuantities • A set of one or more quantity kinds together with a set of zero or more algebraic equations that define relationships between quantity kinds in the set. • E.g. SI system, CGS system • Base quantity kinds (e.g. length, mass, time) • Derived quantity kinds (e.g. area, force, power)

  8. Classes – cont’d • SystemOfUnits • A set of units which are chosen as the reference scales for some set of quantity kinds together with the definitions of each unit. • Base units (e.g. meter, kilogram, second) • Derived units (e.g. square meter, newton, watt)

  9. Classes – cont’d • Dimension • a mapping from a tuple of rational numbers to a product of base quantity kinds such that the tuple members correspond to the exponents of the base quantity kinds. • E.g. A = L2, F = L1M1T-2, P = L2M1T-3 • dim Q = (B1)d1(B2)d2…(Bn)dn

  10. Examples • Value of Planck’s Constant in SI and CGS Units

  11. Examples – cont’d • Dimensions for Permittivity

  12. Applications: SPIN Functions • Unit conversion

  13. Applications: SPIN Functions – cont’d • Unit conversion

  14. Conclusion • A straightforward model for representing physical quantities. • Capable of rule-based inference. • Not so much on metadata of the quantities.

  15. References • http://qudt.org/ • http://ontolog.cim3.net/file/work/UoM/UoM-standard-ontology_20090924/QUDT-overview--JamesMasters_20090924.pdf • http://linkedmodel.org/catalog/qudt/1.1/

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