Results 21 to 30 of about 713,951 (290)

Practical challenges in data‐driven interpolation: Dealing with noise, enforcing stability, and computing realizations

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView., 2023
Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
wiley   +1 more source

Exterior Differential Systems for Yang-Mills Theories [PDF]

open access: yes, 2008
Exterior differential systems are given, and their Cartan characters calculated, for Maxwell and SU(2)-Yang-Mills equations in dimensions from three to six.Comment: This is a contribution to the Special Issue "Elie Cartan and Differential Geometry ...
Estabrook, Frank B.
core   +4 more sources

Explicit Information Geometric Calculations of the Canonical Divergence of a Curve

open access: yesMathematics, 2022
Information geometry concerns the study of a dual structure (g,∇,∇*) upon a smooth manifold M. Such a geometry is totally encoded within a potential function usually referred to as a divergence or contrast function of (g,∇,∇*).
Domenico Felice, Carlo Cafaro
doaj   +1 more source

POINTLESS SPACES IN GENERAL RELATIVITY [PDF]

open access: yes, 1995
The new approach to quantize the gravity based on the notion of differential algebra is suggested. It is shown that the differential geometry of this object can not be described in terms of points.
C. J. Isham   +10 more
core   +3 more sources

Differential Geometry of Ice Flow

open access: yesFrontiers in Earth Science, 2018
Flowlines on ice sheets and glaciers form complex patterns. To explore their role in ice routing and extend the language for studying such patterns, we develop a theory of flow convergence and curvature in plan view.
Felix S. L. Ng   +2 more
doaj   +1 more source

Investigation of the Uniformity of Gel Shrinkage by Imaging Tracer Particles Using X‐Ray Microtomography

open access: yesAdvanced Engineering Materials, EarlyView., 2023
A novel method for tracking structural changes in gels using widely accessible microcomputed tomography is presented and validated for various hydro‐, alco‐, and aerogels. The core idea of the method is to track positions of micrometer‐sized tracer particles entrapped in the gel and relate them to the density of the gel network.
Anja Hajnal   +3 more
wiley   +1 more source

Differential geometry of collective models

open access: yesAIMS Mathematics, 2019
The classical astrophysical theory of Riemann ellipsoids and the quantum nuclear theory of Bohr and Mottelson share a common mathematical foundation in terms of the differential geometry of a principal bundle ${\cal P}$ and its associated vector bundle E,
George Rosensteel
doaj   +1 more source

To the 85th Anniversary of the Department of Geometry of ISU

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2023
The article provides a brief overview of the main directions of the history of scientific and pedagogical activity and the achievements of the Department of Geometry of Irkutsk State University for 1938-2012 years.
O.V. Kuzmin, L. A. Osipenko
doaj   +1 more source

Combinatorial Differential Forms [PDF]

open access: yes, 2000
We extend to a scheme-theoretic context the notion of a combinatorial differential form, due to A.Kock in the framework of synthetic differential geometry.
Breen, Lawrence, Messing, William
core   +2 more sources

Nucleon spin decomposition and differential geometry [PDF]

open access: yes, 2015
In the last few years, the so-called Chen et al. approach of the nucleon spin decomposition has been widely discussed and elaborated on. In this letter we propose a genuine differential geometric understanding of this approach.
François, Jordan   +2 more
core   +2 more sources

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