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Unified definition of divergence,curl, and gradient
Authors:Chen-to Tai
Institution:Department of Electrical Engineering and Computer Science University of Michigan Ann An for, Michigan, U. S. A.
Abstract:In this note the differential expression of divergence, curl, and gradient are derived based on one common model. Each of them involves the limiting value of a differential quantity per unit volume. By taking advantage of some differential relations of the unit vectors weighted by the metric coefficients, the full expressions of these three quantities in vector analysis can be readily derived.
Keywords:fiber-reinforced composite  multi-interfaces  scattering of elastic waves  dynamic stress concentration  
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