Results 91 to 100 of about 1,591,753 (376)
Simulation of Inhomogeneous Refractive Index Fields Induced by Hot Tailored Forming Components
Advanced Engineering Materials, EarlyView.This article presents a simulation model for simulating inhomogeneous refractive index fields (IRIF) in hot‐forged components, accounting for thermal influences and complex geometries. Through this simulation, a priori knowledge about the propagation of the IRIF can be obtained, allowing for the positioning of the component or an optical measurement ...
Pascal Kern +3 more
wiley +1 more source
An application of Pappus' Involution Theorem in euclidean and non-euclidean geometry [PDF]
arXiv, 2014 Pappus' Involution Theorem is a powerful tool for proving theorems about non-euclidean triangles and generalized triangles in Cayley-Klein models. Its power is illustrated by proving with it some theorems about euclidean and non-euclidean polygons of different types. A $n$-dimensional euclidean version of these theorems is stated too.
arxiv
Beyond Order: Perspectives on Leveraging Machine Learning for Disordered Materials
Advanced Engineering Materials, EarlyView.This article explores how machine learning (ML) revolutionizes the study and design of disordered materials by uncovering hidden patterns, predicting properties, and optimizing multiscale structures. It highlights key advancements, including generative models, graph neural networks, and hybrid ML‐physics methods, addressing challenges like data ...
Hamidreza Yazdani Sarvestani +4 more
wiley +1 more source
Information metric and Euclidean Janus correspondence
Physics Letters B, 2016 We consider the quantum information metric of a family of CFTs perturbed by an exactly marginal operator, which has the dual description of the Euclidean Janus geometries.
Dongsu Bak
doaj +1 more source
Non-euclidean shadows of classical projective theorems [PDF]
arXiv, 2014 Some translations into non-euclidean geometry of classical theorems of planar projective geometry are explored. The existence of some common triangle centers is dedeuced from theorems of Pascal and Chasles. Desargues' Theorem allows to construct a non-euclidean version of the Euler line and the nine-point circle of a triangle.
arxiv
Lazy orbits: an optimization problem on the sphere
, 2017 Non-transitive subgroups of the orthogonal group play an important role in the non-Euclidean geometry. If $G$ is a closed subgroup in the orthogonal group such that the orbit of a single Euclidean unit vector does not cover the (Euclidean) unit sphere ...
Vincze, Csaba
core +1 more source
Advanced Engineering Materials, EarlyView.This study examines the mechanical properties of triply periodic minimal surfaces (TPMS)‐based lattices, analyzing 36 architectures in elastic and plastic regimes. It evaluates the applicability of beam‐based scaling laws to TPMS lattices. Rigidity arises from the alignment of members with the load direction and solid regions preventing rotation.
Lucía Doyle +2 more
wiley +1 more source
Euclidean geometry as algorithm for construction of generalized geometries [PDF]
arXiv, 2005 It is shown that the generalized geometries may be obtained as a deformation of the proper Euclidean geometry. Algorithm of construction of any proposition S of the proper Euclidean geometry E may be described in terms of the Euclidean world function sigma_E in the form S(sigma_E).
arxiv
Special geometry, black holes and Euclidean supersymmetry [PDF]
, 2007 We review recent developments in special geometry and explain its role in the theory of supersymmetric black holes. To make this article self-contained, a short introduction to black holes is given, with emphasis on the laws of black hole mechanics and ...
Mohaupt, T.
core +1 more source
, 2015 We argue that classical $(\alpha')$ effects qualitatively modify the structure of Euclidean black hole horizons in string theory. While low energy modes experience the geometry familiar from general relativity, high energy ones see a rather different ...
Giveon, Amit +2 more
core +1 more source