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Markl on Natural Differential Operators

a way to make precise the idea that certain differential operators (like the Lie derivative, or the covariant derivative) are more natural than others, that all natural differential operators of a ...
IEEE

Vector Differential Calculus

In the study of electromagnetics one often needs to perform line, surface, and volume integrations. The evaluation of these integrals in a particular coordinate system requires the knowledge of ...
Scientific Research Publishing

An Instability Result to a Certain Vector Differential Equation of the Sixth Order ()

where and are the components of X and H, respectively. We also assume that the Jacobian matrix exists and is continuous. It should be noted that Equation (2) is the vector version for systems of real ...
Scientific Research Publishing

Ovsienko, V.Y. and Duval, C. (1995) Space of Second Order Linear Differential Operators as a Module over the Lie Algebra of Vector Fields. Numdam.

ABSTRACT: The research paper investigates the computation of Casimir operators on s l 2 -modules associated with linear differential operators and symbols on the real line. The study considers spaces ...
IEEE

Joint-Smooth Toolpath Planning by Optimized Differential Vector for Robot Surface Machining Considering the Tool Orientation Constraints

Abstract: The flexible robot has more advantages over the traditional machine tools in machining complex workpieces like the 3D-printed part which has less residual material for removal. In robot ...