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Nondimensionalization

Nondimensionalization is the partial or full removal of physical dimensions from an equation involving physical quantities by a suitable substitution of variables. This technique can simplify and parameterize problems where measured units are involved. It is closely related to dimensional analysis. In some physical systems, the term scaling is used…

Measurement & Art

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Overview

Rationale

Nondimensionalization steps

Linear differential equations with constant coefficients

Statistical analogs

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Map overview Semantic statistics

Nondimensionalization

Nodes61
Edges60
Triples28
Avg. degree1.97
Density0.032787
Components1

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Nondimensionalization

Top relations

related to External links · 20
Nondimensionalization → Analysis, Application, Bath, Biomedical Computing, Center, Chapter, Course, Department, Differential Equations Hans Petter, Geir, Industrial Mathematics Jonathan Evans, Informatics, Langtangen, Mathematical Modelling, Mathematical Sciences, Oslo, Pedersen, Scaling, Simula Research Laboratory, University
related to Rationale · 6
Nondimensionalization → For, However, In, It, Measurements, Suppose
is a · 1
Nondimensionalization → partial or full removal of physical dimensions from an equation involving physical quantities by a suitable substitution of variables

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Important terminology

displaystyle system frac equation differential text order systems characteristic units tau first dimensionless chi equations variable quantities function term used

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Nondimensionalizationis apartial or full removal of physical dimensions from an equation involving physical quantities by a suitable substitution of variables0.90text
SI unitsinstance ofrather than units0.80text
Nondimensionalizationrelated to External linksAnalysis0.60section
Nondimensionalizationrelated to External linksApplication0.60section
Nondimensionalizationrelated to External linksCourse0.60section
Nondimensionalizationrelated to External linksMathematical Modelling0.60section
Nondimensionalizationrelated to External linksIndustrial Mathematics Jonathan Evans0.60section
Nondimensionalizationrelated to External linksDepartment0.60section
Nondimensionalizationrelated to External linksMathematical Sciences0.60section
Nondimensionalizationrelated to External linksUniversity0.60section
Nondimensionalizationrelated to External linksBath0.60section
Nondimensionalizationrelated to External linksChapter0.60section

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