Results 311 to 320 of about 3,366,340 (357)
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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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Frames and bases of Lie incidence geometries
Journal of Geometry, 1997For a rank two incidence system\((\mathcal{P}, \mathcal{L})\) and a projective embedding\(e:(\mathcal{P}, \mathcal{L}) \to \mathbb{P}\mathbb{G}(V)\) the concepts ofe- indepedence of a point set and a basis of\((\mathcal{P}, \mathcal{L})\) are defined. It is then demonstrated that for a Lie incidence geometry\((\mathcal{P}, \mathcal{L})\) of type Bn,n ...
Bruce N. Cooperstein +3 more
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Incidence loops and their geometry
1992Publisher Summary This chapter discusses the concept of incidence loops and their geometry. An incidence group (P, L,·) is a group (P,·) together with a structure (P, L) of an incidence space such that both structures are compatible. The notion of incidence group can be generalized by weakening the assumptions concerning the algebraic structure of P;
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Pumping geometry for a grazing-incidence dye laser
Applied Optics, 1992A new pumping geometry for longitudinal excitation of a grazing-incidenceg rating dye laser is proposeda nd experimentally demonstrated.
H. S. Rawat +2 more
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Implicit characterizations of smooth incidence geometries
Geometriae Dedicata, 2000Erworben im Rahmen der Schweizer Nationallizenzen (http://www.nationallizenzen.ch)
Richard Bödi, Stefan Immervoll
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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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