Mathematical structure of physical quantities (Q1825856)
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scientific article; zbMATH DE number 4121944
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mathematical structure of physical quantities |
scientific article; zbMATH DE number 4121944 |
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Mathematical structure of physical quantities (English)
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1989
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The set of all physical quantities is conceived as a (multiplicatively written) vector space; it sits in the middle of a short exact sequence, with the set of pure quantities, and the set of physical dimensions, respectively, as the two ends. Invariants of the group of (end-fixing) automorphisms of this structure are studied and characterized by a theorem which is a purely mathematical form of the pi-theorem of dimensional analysis.
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physical quantities
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short exact sequence
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physical dimensions
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automorphisms
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pi-theorem of dimensional analysis
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