First Sentence:
The presence of heterogeneities at different scales in materials requires the implementation of probabilistic tools.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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mark correlation functions, adjacency system, fracture statistics models, multiplicative branching processes, contact distribution functions, third order hounds, mean normal measure, local grain measures, monolayer textures, total projection length, overlapping spheroids, third order bounds, emulsification failure, integral geometric measures, mark segregation, grain ensemble, complementary adjacencies, unnormalised density, cubic bicontinuous, minkowski functionals, directional signature, spherical contact distribution, alpha diagram, convex grains, directional openings
Key Phrases - Capitalized Phrases (CAPs):
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Lecture Notes, New York, Academic Press, John Wiley, Cambridge University Press, Germany Abstract, Joachim Ohser, World Scientific, Werner Nagel, Astrophysical Journal, Computer Vision, Physical Review, Water Resour, Boca Raton, Daniel Hug, Oxford University Press, Wolfgang Weil, American Physical Society, Cold Dark Matter, Department of Mathematical Sciences, Fraction Material, Models Image Process, North Holland, Soil Sci, Springer Verlag
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