English

Quantities, Dimensions and Dimensional Analysis

History and Overview 2015-04-20 v4 Data Analysis, Statistics and Probability History and Philosophy of Physics

Abstract

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.

Keywords

Cite

@article{arxiv.1408.5024,
  title  = {Quantities, Dimensions and Dimensional Analysis},
  author = {Dan Jonsson},
  journal= {arXiv preprint arXiv:1408.5024},
  year   = {2015}
}

Comments

Edits, corrections, Section 3.3 added. 29 pages, 1 figure

R2 v1 2026-06-22T05:35:38.924Z