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arxiv: 1408.5024 · v4 · pith:KZMOGJL7new · submitted 2014-08-21 · 🧮 math.HO · physics.data-an· physics.hist-ph

Quantities, Dimensions and Dimensional Analysis

classification 🧮 math.HO physics.data-anphysics.hist-ph
keywords analysisdimensionaldimensionsquantitiesalgorithmconceptsdefinitionsdeveloped
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Formal definitions of quantities, quantity spaces, dimensions and dimension groups are introduced. Based on these concepts, a theoretical framework and a practical algorithm for dimensional analysis are developed, and examples of dimensional analysis are given.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Periods of N-body Systems Determined Through Dimensional Analysis

    math-ph 2026-04 unverdicted novelty 5.0

    Generalized dimensional analysis derives periods for classical and quantum n-body systems that match prior conjectures by Sun and by Semay and Sun.

  2. Periods of N-body Systems Determined Through Dimensional Analysis

    math-ph 2026-04 unverdicted novelty 5.0

    Generalized dimensional analysis derives periods for classical and quantum n-body systems up to a multiplicative constant, matching prior conjectures by Sun and Semay-Sun.

  3. Periods of N-body Systems Determined Through Dimensional Analysis

    math-ph 2026-04 unverdicted novelty 4.0

    Generalized dimensional analysis yields Kepler-like period laws for Newtonian and quantum n-body systems that match prior conjectures.