Eigenvalue bounds of third-order tensors via the minimax

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Physical Properties of Crystals, Their Representation by

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Physical properties of crystals (1984 edition) | Open Library

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Crystal symmetry determination in electron - Science

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  • Physical Properties of Crystals: Their Representation by
  • Buerger, M. J. Elementary Crystallography: An Introduction to the Fundamental Geometrical Features of Crystals, rev. ed. New York: Wiley, 1963. Buerger, M. J. X-Ray Crystallography: An Introduction to the Investigation of Crystals by their Diffraction of Monochromatic X-Radiation.
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  • We introduce an analytical method for the symmetry decomposition of elastic tensors based upon orthogonal projections on subspaces. The representation of the fourth-order elastic tensor by a second-order tensor, preserving its mathematical properties, was first proposed by Kelvin (1856).

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Physical Properties of Crystals: Their Representation by

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Electron diffraction from polycrystalline materials

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  • Chapter 14 on physical properties of crystals and their description by tensors is new to the present edition. It starts by considering symmetric second-rank tensors and their repre-sentation quadrics for the case where the three eigenvalues are all positive, i.e. where the quadric is an ellipsoid. Then
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Irreducible matrix resolution for symmetry classes of

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OSE5313 Materials for Optical Systems – CREOL, The College

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  • In this article we derive the complete set of formulas needed to generate physically plausible images of uniaxial crystals. So far no computer graphics publication contains all the formulas one needs to compute the interaction of light with such crystals in a form that is useable by a graphics application, especially if a polarization-aware rendering system is being used.

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