On augmented dimensional analysis

DOI10.1007/s10440-024-00673-yzbMATH Open1547.00156MaRDI QIDQ6611148

Dan Jonsson

Publication date: 26 September 2024

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

dimensiondimensional analysisphysical quantity\(\pi\) theoremquantity space

Mathematics Subject Classification ID

General theory of mathematical modeling (00A71) Physics (00A79) Torsion-free groups, finite rank (20K15)

Cites Work

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• Dimensional analysis.
• The Pi theorem of dimensional analysis
• An algebraic approach to physical scales
• The mathematical foundations of dimensional analysis and the question of fundamental units
• A mathematical theory of physical units, dimensions, and measures
• Theórie analytique de la chaleur.
• Mathematical structure of physical quantities
• Principles and Applications of Dimensional Analysis and Similarity
• The Mathematics of Physical Quantities: Part I: Mathematical Models for Measurement
• On the foundations of Dimensional Analysis
• Scalable monoids and quantity calculus

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