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This note is the sequel of "Geometric structures as variational objects, I." It generalizes the main result and perspectives of that work to a class of geometric structures that includes integrable almost-complex structures.

微分几何 · 数学 2022-02-18 Gabriella Clemente

Radar-holonomic congruences of wordlines are proposed as a weaker substitute for the too restrictive class of Born-rigid motions. The definition is expressed as a set of differential equations. Integrability conditions and Cauchy data are…

广义相对论与量子宇宙学 · 物理学 2017-11-22 J Llosa , A Molina , D Soler

We announce numerous new results in the theory of orthogonal polynomials on the unit circle.

谱理论 · 数学 2007-05-23 Barry Simon

This paper surveys the recent attempts, both from the machine learning and operations research communities, at leveraging machine learning to solve combinatorial optimization problems. Given the hard nature of these problems,…

机器学习 · 计算机科学 2020-03-16 Yoshua Bengio , Andrea Lodi , Antoine Prouvost

Mobile microscopy is a newly formed field that emerged from a combination of optical microscopy capabilities and spread, functionality, and ever-increasing computing resources of mobile devices. Despite the idea of creating a system that…

图像与视频处理 · 电气工程与系统科学 2021-11-12 A. Kornilova , I. Kirilenko , D. Iarosh , V. Kutuev , M. Strutovsky

This work is an introduction to the local geometric theory of Veronese webs developed in the last twenty years. Among the different possible approach, here one has chosen the point of view of differential forms. Moreover, in order to make…

微分几何 · 数学 2010-01-19 Francisco-Javier Turiel

The concept of spin hydrodynamics is reexamined and briefly characterized.

高能物理 - 唯象学 · 物理学 2024-12-02 Wojciech Florkowski

Quantum opto- and electromechanical systems interface mechanical motion with the electromagnetic modes of optical resonators and microwave circuits. The capabilities and promise of these hybrid devices have been showcased through a variety…

量子物理 · 物理学 2025-08-20 Yiwen Chu , Simon Gröblacher

A tutorial introduction into the principles of Orbital Physics in strongly correlated transition metal oxides.

强关联电子 · 物理学 2022-01-25 Andrzej M. Oleś

This article shows how to express relativistic concepts in a visual manner using the full power of hyperbolic trigonometric functions. Minkowski diagrams in energy-momentum space are used in conjunction with hyperbolic triangles. Elegant…

广义相对论与量子宇宙学 · 物理学 2026-03-26 Karol Urbański

This article presents some computations for a new topological invariant for foliations introduced some years ago by the author using techniques from noncommutative geometry, in particular the pairing between K-Theory and cyclic cohomology.…

数学物理 · 物理学 2008-01-15 Ioannis P. Zois

The author proposes the methodology of transformation optics in orthogonal coordinates to obtain the material parameters of the transformation media from the mapping in orthogonal coordinates. Several examples are given to show the…

光学 · 物理学 2009-11-13 Huanyang Chen

This paper is a report from a recent meeting on "the Future of high-resolution imaging in the visible and infrared", reviewing the astronomical drivers for development and the technological advances that might boost performance. Each of the…

This note aims at providing a concise and self-contained document that describes a clear and easy-to-understand method, that could be useful for a reader that is approaching the linear-impulsive rendezvous topic for the first time, but that…

最优化与控制 · 数学 2019-12-18 Boris Benedikter , Alessandro Zavoli

Optimal transport is a geometrically intuitive, robust and flexible metric for sample comparison in data analysis and machine learning. Its formal Riemannian structure allows for a local linearization via a tangent space approximation. This…

最优化与控制 · 数学 2024-06-07 Clément Sarrazin , Bernhard Schmitzer

Visually impaired individuals rely heavily on accurate and timely information about obstacles and their surrounding environments to achieve independent living. In recent years, significant progress has been made in the development of…

计算机视觉与模式识别 · 计算机科学 2025-05-21 Fulong Yao , Wenju Zhou , Huosheng Hu

This paper presents a method for retinal vasculature extraction based on biologically inspired multi-orientation analysis. We apply multi-orientation analysis via so-called invertible orientation scores, modeling the cortical columns in the…

计算机视觉与模式识别 · 计算机科学 2015-04-09 Erik Bekkers , Remco Duits , Tos Berendschot , Bart ter Haar Romeny

In recent years, significant advances in computer vision have also propelled progress in remote sensing. Concurrently, the use of drones has expanded, with many organizations incorporating them into their operations. Most drones are…

计算机视觉与模式识别 · 计算机科学 2026-02-20 Panagiotis Koletsis , Vasilis Efthymiou , Maria Vakalopoulou , Nikos Komodakis , Anastasios Doulamis , Georgios Th. Papadopoulos

This is an introductory article to the theory of multiple gaps.

逻辑 · 数学 2014-06-26 Antonio Avilés

In this paper we present a geometrical framework to study the uniformity of a composite material by means of double groupoid theory. The notions of vertical and horizontal uniformity are introduced, as well as other weaker ones that allows…

数学物理 · 物理学 2025-04-04 V. M. Jiménez , M. De León , M. Epstein