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Showing 1 to 3 of 3 for “"Continuous groups"”.
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Invariant functionals
The study of continuous groups of transformations in function space was begun by G. Kowalewski in 1911. Vessiot considered the conditions under which r parameter Volterra transformations form a group. L. L. Dines considered projective transformations in function space continuing Kowalewski's work. …
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An Analysis Of Phenetic Variation In The Least Shrew Cryptotis Parva (Say)
… was not found to show distinct geographically continuous groups. The Student-Newman-Keuls test showed different patterns of variation for each of the characters, while the trend surface analysis shows that regional trends explain the majority of the variation in four of the characters. On the …
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Generalization of Lie's counting theorems for second and third order ordinary differential equations
This work concerns two new theorems which count the maximum possible number of independent generators of a certain form which leave an ordinary differential equation of second or third order covariant. Sophus Lic has derived such theorems for a particular class of transformations. The new theorems …