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On Lagrange Functions Yielding the Same Rotationally Covariant Euler Variation
Author(s) -
Cisło J.,
Łopuszański J.,
Stichel P. C.
Publication year - 1995
Publication title -
fortschritte der physik/progress of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.2190430804
Subject(s) - covariant transformation , mathematics , euclidean space , constraint algorithm , mathematical analysis , euclidean geometry , function (biology) , lagrange multiplier , mathematical physics , geometry , mathematical optimization , evolutionary biology , biology
The class of one‐particle Lagrange functions in 3‐dimensional Euclidean space which all yield the same rotationally covariant Euler variation is defined. The properties of these Lagrange functions are discussed. It is also shown that the difference between any Lagrange function and the Lagrange function obtained from the former by a rotation, is equal to a time derivative.