Results 191 to 200 of about 5,172,925 (243)
Intracrystalline Void‐Mediated Toughening of Brittle Crystals in Quail Eggshells
Advanced Functional Materials, EarlyView.In quail eggshells, the high density and disordered arrangement of intracrystalline voids inhibit lattice cleavage, suppress long‐range crack propagation, and promote deformation twinning and quasi‐plasticity, serving as an essential toughening motif. We show that these voids remain within a narrow subcritical size range and therefore predominantly do ...
Jingxiao Zhong +16 more
wiley +1 more source
Mathematics and Visualization, 2001 The geometry of lines occurs naturally in such different areas as sculptured surface machining, computation of offsets and medial axes, surface reconstruction for reverse engineering, geometrical optics, kinematics and motion design, and modeling of developable surfaces.
Johannes Peter Wallner, Helmut Pottmann
exaly +4 more sources
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An Introduction to Line Geometry With Applications
CAD Computer Aided Design, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Helmut Pottmann, Bahram Ravani
exaly +4 more sources
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.
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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.
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1998
Abstract Our main purpose in the present chapter is to introduce the reader to the systematic study of those subsystems of the full system of ℛ4 lines of S3 which are of geometrical interest; but before doing so we need to look more closely at the way in which lines are represented by the ...
J G Semple, G T Kneebone
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Abstract Our main purpose in the present chapter is to introduce the reader to the systematic study of those subsystems of the full system of ℛ4 lines of S3 which are of geometrical interest; but before doing so we need to look more closely at the way in which lines are represented by the ...
J G Semple, G T Kneebone
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Complex Curves as Lines of Geometries
Results in Mathematics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Belova, Olga +2 more
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Line Geometry, Sphere Geometry, Kinematics
2020A Dupin cyclide is a quartic and cyclic surface. It is the envelope of a one parameter family of spheres. In Lie’s model of sphere geometry, it is represented by a conic. Lie’s line-sphere-mapping maps a conic in Lie’s quadric to a conic on Plucker’s quadric which corresponds to a regulus in the manifold of lines.
Boris Odehnal +2 more
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Spinor Space and Line Geometry
Canadian Journal of Mathematics, 1951Synopsis. This is the first of two papers dealing with the projective theory of spinors. It contains the algebraic introduction to the projective spinor analysis which will be dealt with in the second paper.
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Geological Society, London, Special Publications, 2016
Abstract A branch line is the line of intersection between two hard-linked fault planes, or between two parts of a single fault plane of more complex geometry. Of interest is whether they provide any information about the kinematic development of the fault system to which they belong.
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Abstract A branch line is the line of intersection between two hard-linked fault planes, or between two parts of a single fault plane of more complex geometry. Of interest is whether they provide any information about the kinematic development of the fault system to which they belong.
openaire +1 more source