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Darwin's theory for the grazing incidence geometry
Surface Science, 2001Darwin's dynamical theory of X-ray diffraction was studied in the case of grazing incidence geometry. It was shown that in such geometry the Darwin theory is not correct. In the two-beam case, the reflectivity of the specular reflection calculated by the original Darwin's theory was slightly different from that calculated by the well-known Fresnel ...
Toshio Takahashi +3 more
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Incidence problems in discrete geometry
2017Over the past decade, discrete geometry research has flourished with clever uses of algebraic methods. The polynomial method has had a deep impact on a wide collection of results in combinatorics, such as tight asymptotic lower bounds on finite field Kakeya and Nikodym sets, near optimal lower bound for Erdos' distinct distances problem, and improved ...
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Affine Geometry: Incidence with Parallelism (IP)
2015This brief chapter introduces the notion of parallelism, discusses the two forms of the parallel axiom, defines affine geometry, and proves five elementary theorems relating to intersecting planes and parallel lines.
Keith G. Calkins +3 more
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CHARACTERIZATIONS OF THE LIE INCIDENCE GEOMETRIES
1983INTRODUCTION A yery famous theorem (associated with the names Hilbert, von Staudt, Veblen and Young) characterizes projective spaces of dimension greater than 2 as linear incidence systems satisfying a certain (variously named) axiom. By the term “characterization”, one means a complete classification in terms of division rings.
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