Results 11 to 20 of about 15,485 (101)
How (not) to Cage an Electron: The Perfluoro Cage Effect as an Extrinsic Molecular Property
A rigorous definition within Kohn–Sham density functional theory is presented for the notion of an caged electron inside perfluorinated fullerenes as radical anions. ABSTRACT The notion of a (molecular) electron cage was coined for the unique hosting capacity of perfluorocubane, suggesting the “encapsulation of an electron” within the highly symmetric ...
Andreas Riedmiller +2 more
wiley +1 more source
Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks
ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
wiley +1 more source
ABSTRACT The analysis of certain properties of the underlying graph of a public transport network generates insights about the network's structure. Hereby, the choice of the graph representation depends on a trade‐off between complexity reduction and information preservation to adequately model a public transport network.
Michael Palk +2 more
wiley +1 more source
Key Technical Fields and Future Outlooks of Space Manipulators: A Survey
This paper systematically reviews the technological development of space manipulators, emphasizing the unique challenges posed by space environments. It examines four areas: structural design, modeling, planning, and control, while introducing typical ground test platforms.
Gang Chen +12 more
wiley +1 more source
Topological Graph Neural Networks: A Novel Approach for Geometric Deep Learning
This graphical abstract illustrates the Topological Graph Neural Network (TopGNN) architecture. It demonstrates a parallel processing approach where an input graph is simultaneously analyzed by a standard GNN Encoder to capture local node features and by Persistent Homology to extract global topological features (like cycles and voids), visualized as a
Amarjeet +7 more
wiley +1 more source
Abstract We count and give a parametrization of connected components in the space of flags transverse to a given transverse pair in every flag varieties of SO0(p,q)$\operatorname{SO}_0(p,q)$. We compute the effect the involution of the unipotent radical has on those components and, using methods of Dey–Greenberg–Riestenberg, we show that for certain ...
Clarence Kineider, Roméo Troubat
wiley +1 more source
Periodic solutions of semi-explicit differential-algebraic equations with time-dependent constraints [PDF]
In this paper we investigate the properties of the set of T-periodic solutions of semi-explicit parametrized Differential-Algebraic Equations with non-autonomous constraints of a particular type.
Bisconti, Luca +2 more
core +2 more sources
ABSTRACT Examining the extent to which measurements of rotation matrices are close to each other is challenging due measurement noise. To overcome this, data is typically smoothed, and the Riemannian and Euclidean metrics are applied. However, if rotation matrices are not directly measured and are instead formed by eigenvectors of measured symmetric ...
P. D. Ledger +2 more
wiley +1 more source
Variation Of Mixed Hodge Structures [PDF]
Variation of mixed Hodge structures(VMHS), introduced by P. Deligne, is a linear structure reflecting the geometry on cohomology of the fibers of an algebraic family, generalizing variation of Hodge structures for smooth proper families, introduced by P.
Brosnan, Patrick, Elzein, Fouad
core +2 more sources
Deformation Quantization: Twenty Years After
We first review the historical developments, both in physics and in mathematics, that preceded (and in some sense provided the background of) deformation quantization.
Sternheimer, Daniel
core +1 more source

