Results 171 to 180 of about 5,311,308 (378)
Constructive projective extension of an incidence plane [PDF]
Trans. Amer. Math. Soc. 366 (2014), 691-706A standard procedure in classical projective geometry, using pencils of lines to extend an incidence plane to a projective plane, is examined from a constructive viewpoint. Brouwerian counterexamples reveal the limitations of traditional pencils. Generalized definitions are adopted to construct a projective extension.
arxiv
Elasticity of Diametrically Compressed Microfabricated Woodpile Lattices
Advanced Engineering Materials, EarlyView.Modulus–porosity relationship is derived for woodpile lattices with struts under diametrical compression. The formula presented here that Young's modulus is proportional to the square of the volume fraction E˜ρ2$E \sim \left(\rho\right)^{2}$ is shown to be consistent with computations and laboratory experiments on 3D‐printed samples.
Faezeh Shalchy, Atul Bhaskar
wiley +1 more source
Internal symmetry in Poincarè gauge gravity
Nuclear Physics BWe find a large internal symmetry within 4-dimensional Poincarè gauge theory.In the Riemann-Cartan geometry of Poincaré gauge theory the field equation and geodesics are invariant under projective transformation, just as in affine geometry.
James T. Wheeler
doaj
Projective planes, Severi varieties and spheres [PDF]
Surveys in Differential Geometry VIII, Papers in Honor of Calabi,
Lawson, Siu and Uhlenbeck (International Press, Somerville, MA, 2003) 1-27., 2002 A classical result asserts that the complex projective plane modulo complex conjugation is the 4-dimensional sphere. We generalize this result in two directions by considering the projective planes over the normed real division algebras and by considering the complexifications of these four projective planes.
arxiv
Some recent results in finite geometry and coding theory arising from the Gale transform [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2010 The Gale transform is an involution on sets of points in a projective space. It plays a crucial role in several different subjects, such as algebraic geometry, optimization, coding theory, and so on. We give a brief survey—from a finite geometry point of
Antonio Cossidente, Angelo Sonnino
doaj
An Elementary Course in Synthetic Projective Geometry. [PDF]
, 1917 W. H. Bussey, D. N. Lehmer
openalex +1 more source
A Novel Digitalization Approach for Smart Materials – Ontology‐Based Access to Data and Models
Advanced Engineering Materials, EarlyView.In order to access heterogeneous material data and model‐based knowledge, the established ontology‐based data access (OBDA) is extended to include material models. This novel ontology‐based data and model access (OBDMA) enables the computation of new responses beyond stored data.
Jürgen Maas +15 more
wiley +1 more source
FAIR and Structured Data: A Domain Ontology Aligned with Standard‐Compliant Tensile Testing
Advanced Engineering Materials, EarlyView.The digitalization in materials science and engineering is discussed, emphasizing the importance of digital workflows and ontologies in managing diverse experimental data. Challenges such as quality assurance and data interoperability are tackled with semantic web technologies, focusing and introducing the tensile test ontology (TTO).
Markus Schilling +6 more
wiley +1 more source