Results 91 to 100 of about 41,474 (267)
Canonical Quantization of Metric Tensor for General Relativity in Pseudo-Riemannian Geometry
PhysicsBy extending the four-dimensional semi-Riemann geometry to higher-dimensional Finsler/Hamilton geometry, the canonical quantization of the fundamental metric tensor of general relativity, i.e., an approach that tackles a geometric quantity, is derived ...
Abdel Nasser Tawfik +3 more
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One dimensional metrical geometry [PDF]
Geometriae Dedicata, 2007 One dimensional metrical geometry may be developed in either an affine or projective setting over a general field using only algebraic ideas and quadratic forms. Some basic results of universal geometry are already present in this situation, such as the Triple quad formula, the Triple spread formula and the Spread polynomials, which are universal ...
openaire +2 more sources
Advanced Engineering Materials, EarlyView.This study explores the lightweight potential of laser additive‐manufactured NiTi triply periodic minimal surface sheet lattices. It systematically investigates the effects of relative density and unit cell size on surface quality, deformation recovery, compression behavior, and energy absorption.
Haoming Mo +3 more
wiley +1 more source
The Alpha Group Tensorial Metric
Revista Brasileira de História da MatemáticaThe Alpha Group is an abstract geometry group in R4. The way it was conceived allows a new interpretation of the structure of hypercomplex space with a new geometry and spatial topology, and a meaning for the geometric representation of R4 space to ...
Cleber Souza Correa +2 more
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Advanced Engineering Materials, EarlyView.The low cycle fatigue life of additive manufactured HAYNES® 282® superalloy was investigated for conventional and high‐productivity processing: samples of the former lasted 1400–1700 cycles, while samples of the latter failed at ~ 1200 cycles, at 760 °C and 1% strain.
Abdul Shaafi Shaikh +3 more
wiley +1 more source
Kropina Metrics with Isotropic Scalar Curvature via Navigation Data
MathematicsThrough an interesting physical perspective and a certain contraction of the Ricci curvature tensor in Finsler geometry, Akbar-Zadeh introduced the concept of scalar curvature for the Finsler metric.
Yongling Ma +2 more
doaj +1 more source
Advanced Engineering Materials, EarlyView.This article demonstrates the successful qualification of a copper–tungsten composite for laser powder bed fusion. The resulting components exhibited high density, high thermal conductivity, and reduced thermal expansion. Heat sinks with complex geometries were successfully manufactured, clearly showcasing the material's potential for additive ...
Simon Rauh +6 more
wiley +1 more source
The Möbius-Pompeïu metric property
Journal of Inequalities and Applications, 2006 We consider an extension of Möbius-Pompeïu theorem of the elementary geometry over metric spaces. We specially take into consideration Ptolemaic metric spaces.
Malešević Branko J
doaj
Metric algebraic geometry combines concepts from algebraic geometry and differential geometry. Building on classical foundations, it offers practical tools for the 21st century. Many applied problems center around metric questions, such as optimization with respect to distances.
Breiding, Paul +2 more
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Advanced Engineering Materials, EarlyView.This study examines how several molten high‐silicon electrical steels interact with both conventional and recycled MgO–C refractories. For this, various immersion experiments are conducted. In addition to infiltration, a number of mechanisms are identified and explained that control the corrosion of the refractory material.
Lukas Neubert +7 more
wiley +1 more source