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A Note on Physical Components
Author(s) -
Williams G.,
Hector D. L.
Publication year - 1969
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19690491105
Subject(s) - tensor (intrinsic definition) , coordinate system , oblique case , physical system , component (thermodynamics) , orthogonal coordinates , computer science , mathematics , pure mathematics , geometry , physics , artificial intelligence , philosophy , linguistics , quantum mechanics , thermodynamics
Many differing definitions of physical components of tensors exist in the literature. Most of these agree when defined relative to orthogonal coordinate systems. The purpose of this paper is to compare existing definitions and to clarify the situation in an oblique coordinate system. The conclusion is reached that any mapping of the tensor into the relevant R n which is one to one, structure preserving and having physical significance can define physical components.