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Dimensional and Scaling Analysis
Author(s) -
Gjerrit Meinsma
Publication year - 2019
Publication title -
siam review
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 4.683
H-Index - 120
eISSN - 1095-7200
pISSN - 0036-1445
DOI - 10.1137/16m1107127
Subject(s) - exponentiation , scaling , notation , series (stratigraphy) , algebra over a field , mathematics , matrix (chemical analysis) , matrix calculus , power series , calculus (dental) , vector calculus , computer science , algorithm , pure mathematics , arithmetic , mathematical analysis , geometry , physics , kronecker delta , medicine , paleontology , materials science , dentistry , quantum mechanics , composite material , biology
A complete theory of dimensional and scaling analysis is presented and its power is demonstrated through a series of examples. A vector-matrix exponentiation is introduced to simplify notation and calculus.

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