Results 1 to 10 of about 1,522,870 (339)
An Axiomatic Line Geometry [PDF]
Canadian Journal of Mathematics, 1968 In their classic treatment (5) Veblen and Young build n-dimensional projective geometry from points and lines. Naturally, each line becomes identified with the set of points with which it is incident, and many treatments build from points alone, postulating the existence of certain distinguished subsets of the set of points.
S. Trott
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Discrete asymptotic nets and W-congruences in Plücker line geometry [PDF]
, 2001 The asymptotic lattices and their transformations are studied within the line geometry approach. It is shown that the discrete asymptotic nets are represented by isotropic congruences in the Plucker quadric.
Adam Doliwa
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The geometry of determinant line bundles in noncommutative geometry [PDF]
Journal of Noncommutative Geometry, 2009 This article is concerned with the study of the geometry of determinant line bundles associated to families of spectral triples parametrized by the moduli space of gauge equivalence classes of Hermitian connections on a Hermitian finite projective module. We illustrate our results with some examples that arise in noncommutative geometry.
Partha Sarathi Chakraborty +1 more
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Absolute Embeddings of Point–Line Geometries
Journal of Algebra, 2001 The paper concerns the existence of absolute embeddings \(e\) of point-line geometries \(\Gamma=({\mathcal P},{\mathcal L})\), that is, any embedding of \(\Gamma\) in some projective space can be derived from \(e\) by projecting onto suitable quotient spaces.
Anna Kasikova, Ernest E. Shult
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Aircraft Pose Estimation Based on Geometry Structure Features and Line Correspondences [PDF]
Sensors, 2019 A robust and accurate aircraft pose estimation method is proposed in this paper. The aircraft pose reflects the flight status of the aircraft and accurate pose measurement is of great importance in many aerospace applications. This work aims to establish
Xichao Teng +4 more
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A set of axioms for line geometry [PDF]
Transactions of the American Mathematical Society, 1914 E. R. Hedrick, Louis Ingold
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Blake’s Newton, Line-Drawing, and Geometry
Studies in Romanticism, 2021 “Young, blond, [and] curly-headed,” the nude of Newton “in some respects . . . resembles a Blakean hero” (fig. 1). His musculature tense, he stares intently at the diagram that is inscribed—in this second state of the scene, printed c. 1805—on the pale scroll still part-unfurled at his feet. As W. T. J.
Sarah Haggarty
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Angular Rolling of the Hollow Flanges of Pipe Joints
Metals, 2021 The paper considers a three-stage technology for angular rolling of the pipe workpiece. This technology facilitates the expansion of the range of flange parts available by eliminating a number of drawbacks of the known methods of metal forming.
Pavel Kononov +3 more
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Surface Approximation by Means of Gaussian Process Latent Variable Models and Line Element Geometry
Mathematics, 2023 The close relation between spatial kinematics and line geometry has been proven to be fruitful in surface detection and reconstruction. However, methods based on this approach are limited to simple geometric shapes that can be formulated as a linear ...
Ivan De Boi, Carl Henrik Ek, Rudi Penne
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Step-By-Step Modeling and Demetallation Experimental Study on the Porous Structure in Zeolites
Molecules, 2022 The organization of microporous space in zeolites is discussed. A new step-by-step model is proposed that explains the principles of organizing the hierarchy of microporous space at the stage of assembling zeolites from elements of minimal size: a ...
Pavel Kononov +4 more
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