Results 41 to 50 of about 90,046 (220)

Optimization of 3D‐Printed Structured Packings—Current State and Future Developments

Chemie Ingenieur Technik, EarlyView.
This paper gives an overview about structured packing development for distillation, surveying heuristic development cycles, computational fluid dynamics simulations, and additive manufacturing techniques. The emerging application of shape optimization to improve packings is emphasized, and its benefits, impact, and limitations are discussed.
Dennis Stucke, Sebastian Blauth, Christian Leithäuser, Thomas Grützner   +3 more
wiley   +1 more source

The Information Geometry of Sensor Configuration

Sensors, 2021
In problems of parameter estimation from sensor data, the Fisher information provides a measure of the performance of the sensor; effectively, in an infinitesimal sense, how much information about the parameters can be obtained from the measurements ...
Simon Williams, Arthur George Suvorov, Zengfu Wang, Bill Moran   +3 more
doaj   +1 more source

Transversal Lightlike Submanifolds of Metallic Semi-Riemannian Manifolds

, 2018
The Metallic Ratio is fascinating topic that continually generated news ideas. A Riemannian manifold endowed with a Metallic structure will be called a Metallic Riemannian manifold.
Erdoğan, Feyza Esra
core   +1 more source

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley   +1 more source

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +1 more source

Fractons, non-Riemannian geometry, and double field theory

Physical Review Research, 2022
We initiate a systematic study of fracton physics within the geometric framework of double field theory. We ascribe the immobility and large degeneracy of the former to the non-Riemannian backgrounds of the latter, in terms of generalized geodesics and ...
Stephen Angus, Minkyoo Kim, Jeong-Hyuck Park   +2 more
doaj   +1 more source

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis, S. Moyo, P. G. L. Leach   +2 more
wiley   +1 more source

The infinity(x)-Laplace equation in Riemannian vector fields

Electronic Journal of Differential Equations, 2015
We employ Riemannian jets which are adapted to the Riemannian geometry to obtain the existence-uniqueness of viscosity solutions to the infinity(x)-Laplace equation in Riemannian vector fields.
Thomas Bieske
doaj  

Ellipsoid‐Based Interval‐Type Uncertainty Model Updating Based on Riemannian Manifold and Gaussian Process Model

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Modern engineering systems require advanced uncertainty‐aware model updating methods that address parameter correlations beyond conventional interval analysis. This paper proposes a novel framework integrating Riemannian manifold theory with Gaussian Process Regression (GPR) for systems governed by Symmetric Positive‐Definite (SPD) matrix ...
Yanhe Tao, Qintao Guo, Jin Zhou, Cheng Yi   +3 more
wiley   +1 more source

Warped Riemannian metrics for location-scale models

, 2017
The present paper shows that warped Riemannian metrics, a class of Riemannian metrics which play a prominent role in Riemannian geometry, are also of fundamental importance in information geometry.
A Terras, AW Knapp, B O’Neill, B Unal, C Atkinson, D Wierstra, DG Luenbeger, E Liao, EH Spanier, EL Lehmann, EP Hsu, F Dobarro, G Cheng, G Gallavotti, GA Young, GJ McLachlan, GN Watson, I Chavel, J Bensadon, JE Marsden, JM Lee, KV Mardia, M Arnaudon, M Arnaudon, M Emery, MP Do Carmo, N Ay, N Ikeda, NN Chentsov, O Kallenberg, P Petersen, PA Absil, PE Kloeden, R. L. Bishop, S Amari, S Helgason, S Lang, S Said, S Said, SI Amari, X Pennec, Y Chikuse, Y Ollivier   +42 more
core   +1 more source