Results 81 to 90 of about 548,689 (195)

The Poincaré conjecture: a problem solved after a century of new ideas and continued work [PDF]

, 2017
The Poincaré conjecture is a topological problem established in 1904 by the French mathematician Henri Poincaré. It characterises three-dimensional spheres in a very simple way.
María Teresa Lozano Imízcoz, Lozano Imizcoz, María Teresa, María Teresa Lozano Imízcoz   +2 more
core   +1 more source

Observer Design for Vector Nonlinear Systems With Applications to Autonomous Vehicles and Robots

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper focuses on observer design for nonlinear systems involving functions of vector arguments. The output equations and the process dynamics are both composed of nonlinear functions of nonseparable multivariable states. The partial derivatives of the nonlinear functions are assumed to be bounded.
Gaurav Sharma, Ali Zemouche, Rajesh Rajamani   +2 more
wiley   +1 more source

Electric-magnetic geometric phase

Physical Review Research
Geometric phases play an enormous role in optics and are generally associated with the evolution of light's polarization state on the Poincaré sphere, or its spin on the sphere of spin directions.
Alex J. Vernon, Konstantin Y. Bliokh
doaj   +1 more source

Heart‐Rate Variability and Its Role in Non‐Cardiac Surgery Perioperative Care: Scoping Review

ANZ Journal of Surgery, EarlyView.
ABSTRACT Background Heart rate variability (HRV) is a non‐invasive method of assessing autonomic function. Those with autonomic dysfunction may be at heightened risk of peri‐operative complications due to sympatho‐parasympathetic imbalance. This review summarises the clinical applications of HRV, approaches to how it is measured, and its role in ...
Reuben Veysey‐Smith, Ashmit Bhardwaj, David G. Jayne, Stephen J. Chapman   +3 more
wiley   +1 more source

Correspondance Dingler–Poincaré [PDF]

, 2014
Nous reproduisons ici, avec l’aimable autorisation de la Hofbibliothek Aschaffenburg (Allemagne), la courte correspondance inédite entre Dingler et Henri Poincaré.
Dingler, Hugo, Poincaré, Henri, Schlaudt, Oliver   +2 more
core   +1 more source

Establishing Shape Correspondences: A Survey

Computer Graphics Forum, EarlyView.
Abstract Shape correspondence between surfaces in 3D is a central problem in geometry processing, concerned with establishing meaningful relations between surfaces. While all correspondence problems share this goal, specific formulations can differ significantly: Downstream applications require certain properties that correspondences must satisfy ...
A. Heuschling, H. Meinhold, L. Kobbelt
wiley   +1 more source

Scalable Computation of Topological Abstractions for Scalar Data

Computer Graphics Forum, EarlyView.
Abstract Topological data analysis has become an important tool for large scale scalar data analysis and visualization, efficiently extracting the inherent structure and features of interest of the data. However, with growing dataset sizes and complexity, it is increasingly becoming infeasible to compute topological abstractions of interest in serial ...
M. Will, J. Lukasczyk, J. Tierny, A. Gyulassy, G. H. Weber, H. Carr, C. Garth   +6 more
wiley   +1 more source

PHYSICAL SPACE AND ABSTRACT SPACES—Klein Space, Poincaré Space and the Stereographic Projection

Photonics
In this paper we compare the rotation of a rigid body in the real three-dimensional Euclidean space E3 and its representation in the complex plane (Klein space), on one hand, with the transformation of polarization states of light (SOPs) by the phase ...
Tiberiu Tudor
doaj   +1 more source

Symmetries of celestial amplitudes

Physics Letters B, 2019
Celestial amplitudes provide holographic imprints of four-dimensional scattering processes in terms of conformal correlation functions on a two-dimensional sphere describing Minkowski space at null infinity.
Stephan Stieberger, Tomasz R. Taylor
doaj   +1 more source

Medial Axis Aware Learning of Signed Distance Functions

Computer Graphics Forum, EarlyView.
Abstract We propose a novel variational method to compute a highly accurate global signed distance function (SDF) to a given point cloud. To this end, the jump set of the gradient of the SDF, which coincides with the medial axis of the surface, is explicitly taken into account through a higher‐order variational formulation that enforces linear growth ...
Samuel Weidemaier, Christoph Norden‐Smoch, Martin Rumpf   +2 more
wiley   +1 more source