Forms of Multidimensional Relationships

George W. Hart
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George W. Hart: Columbia University, Department of Electrical Engineering

Chapter 7 in Multidimensional Analysis, 1995, pp 209-217 from Springer

Abstract: Abstract This chapter briefly considers the question of extending the traditional scalar methods of dimensional analysis,56 used for deriving the forms of scalar relationships, to methods for deriving the forms of multidimensional equations; it is intended to be exploratory and provocative. As a multidimensional form of dimensional analysis, we want to develop techniques of multidimensional analysis in which the dimensional structures of vectors and matrices are used not just in checking consistency and expressing dimensional forms, but also for deriving new results.

Keywords: Polynomial Function; Dimensional Analysis; Dimensional Form; Multidimensional Case; Algebraic Riccati Equation (search for similar items in EconPapers)
Date: 1995
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DOI: 10.1007/978-1-4612-4208-6_8

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