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Journal ArticleDOI
Smoothing by spline functions. II
TL;DR: In this paper, the authors generalize the results of [4] and modify the algorithm presented there to obtain a better rate of convergence, which is the same as in this paper.
Book ChapterDOI
The Theory of Rods
TL;DR: A theory of rods 2 as discussed by the authors is a characterization of the behavior of slender three-dimensional solid bodies by a set of equations having the parameter of a certain curve and the time as the only independent variables.
Journal ArticleDOI
Canonical theories of Lagrangian dynamical systems in physics
TL;DR: In this paper, the authors formulate the variational problem for a given classical Lagrangian field theory in the framework of differential forms, and show that for m⩾2 independent and for n ⩾ 2 dependent (field) variables z a = ƒ a (x) a much wider variety of Legendre transformations ν μ a = ∂ μ ǫ a (n) → p a μ, L → H, exists than has been employed in physics.