Results 41 to 50 of about 406,426 (354)
Cassirer and the Structural Turn in Modern Geometry
Journal for the History of Analytical Philosophy, 2018 The paper investigates Ernst Cassirer’s structuralist account of geometrical knowledge developed in his Substanzbegriff und Funktionsbegriff (1910). The aim here is twofold.
Georg Schiemer
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Idealizer Rings and Noncommutative Projective Geometry [PDF]
, 2004 We study some properties of graded idealizer rings with an emphasis on applications to the theory of noncommutative projective geometry. In particular we give examples of rings for which the $\chi$-conditions of Artin and Zhang and the strong noetherian ...
Rogalski, Daniel
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Advanced Engineering Materials, EarlyView., 2023 The study presents the mechanical and in situ sensing performance of digital light processing‐enabled 2D lattice nanocomposites under monotonic tensile and repeated cyclic loading, and provides guidelines for the design of architectures suitable for strain sensors and smart lightweight structures.
Omar Waqas Saadi +3 more
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Features of the geometry of the five-dimensional pseudo-Euclidean space of index two [PDF]
E3S Web of ConferencesThe article is devoted to the study of the geometry of subspaces of a five-dimensional pseudo-Euclidean space. This space is attractive because all kinds of semi-Euclidean, semi-pseudo-Euclidean, hyperbolic three-dimensional spaces with projective ...
Artikbaev A., Mamadaliyev B.M.
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Projective Cross-Ratio on Hypercomplex Numbers
, 2012 The paper presents a new cross-ratio of hypercomplex numbers based on projective geometry. We discuss the essential properties of the projective cross-ratio, notably its invariance under Mobius transformations.
Brewer, Sky
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Advanced Engineering Materials, EarlyView., 2023 A numerical scheme is presented to design a lattice support for metallic components additively built via laser powder bed fusion. Results show that thermal‐induced distortion can be respectively reduced by 69%, 58%, and 50% in comparison to a uniform lattice, a fully solid support, and a truss‐based lattice support.
Jiazheng Hu +2 more
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Projective geometry and spatial reasoning for STEM learning
Frontiers in EducationProjective geometry is a prominent area in many fields including art, design, architecture, and mathematics, but how it can contribute to children’s spatial reasoning as well as a supplementary geometry to that of Euclid’s in school mathematics curricula
Jennifer S. Thom +3 more
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Geometry of two-parametric family of linear line complexes
Lietuvos Matematikos Rinkinys, 2005 In this article differential geometry of two-parametric family of linear line complexes in the three-dimensional projective space is considered.
Kazimieras Navickis
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The Fundamental Theorem for locally projective geometries [PDF]
arXiv, 2022 We deal with generalizations of the Fundamental Theorem of Projective Geometry to other related geometries (of dimension $\geq 3$) and non bijective maps. We consider locally projective geometries and locally affino-projective geometries (which include the classical M\"obius, Laguerre and Minkowski geometries).
arxiv
Non-Projected Supermanifolds and Embeddings in Super Grassmannians
Universe, 2018 In this paper we give a brief account of the relations between non-projected supermanifolds and projectivity in supergeometry. Following the general results (L.
Simone Noja
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