Titlebook: Geometric Dynamics; Constantin Udri?te Book 2000 Kluwer Academic Publishers 2000 dynamics.geometry.manifold.mathematics.mechanics

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Drama. Beiheft 3: Drama und GesellschaftScalar fields (see 1.1) and vector fields (see 1.2 and 1.5) are mathematical models derivedfrom laws of nature, among which we cite the following examples:

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Bibliotheca Neerlandica extra murosThe energy of a vector field X is the scalar field defined by f = .∥X∥. Thus the energy of a vector field is created by the vector field and by the Euclidean structure δ. of R.. The energy ? has interesting properties imposed either by the behavior of the gradient, Hessian or Laplacian of ., or by the behavior of . along field lines.