Results 91 to 100 of about 3,896 (261)

Inverse Nodal Problems for Dirac-Type Integro-Differential System with Boundary Conditions Polynomially Dependent on the Spectral Parameter

open access: yesCumhuriyet Science Journal, 2019
In this work, we study the inverse nodal problemfor Dirac type integro-differential operator with the boundary conditionsdependent spectral parameter polynomially.
Baki Keskin, Hediye Dilara Tel
doaj   +1 more source

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

open access: yesAdvanced Intelligent Discovery, EarlyView.
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows   +7 more
wiley   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

open access: yesAdvanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Solutions of Umbral Dirac-Type Equations

open access: yesMathematics
The aim of this work is to study the method of the normalized systems of functions. The normalized systems of functions with respect to the Dirac operator in the umbral Clifford analysis are constructed.
Hongfen Yuan, Valery Karachik
doaj   +1 more source

Comparative studies of the deformation techniques for the singular-drift problem in the complex Langevin method

open access: yesEPJ Web of Conferences, 2018
In application of the complex Langevin method to QCD at high density and low temperature, the singular-drift problem occurs due to the appearance of near-zero eigenvalues of the Dirac operator.
Ito Yuta, Nishimura Jun
doaj   +1 more source

Parametric Analysis of Spiking Neurons in 16 nm Fin Field‐Effect Transistor Technology

open access: yesAdvanced Intelligent Discovery, EarlyView.
Energy efficient computing has driven a shift toward brain‐inspired neuromorphic hardware. This study explores the design of three distinct silicon neuron topologies implemented in 16 nm fin field‐Effect transistor technology. While the Axon‐Hillock design achieves gigahertz throughput, its functional fragility persists. The Morris–Lecar model captures
Logan Larsh   +3 more
wiley   +1 more source

Monopoles in Dirac spin liquids and their symmetries from instanton calculus

open access: yesSciPost Physics
The Dirac spin liquid (DSL) is a two-dimensional (2D) fractionalized Mott insulator featuring massless Dirac spinon excitations coupled to a compact U(1) gauge field, which allows for flux-tunneling instanton events described by magnetic monopoles in (2 ...
Shankar Ganesh, Joseph Maciejko
doaj   +1 more source

Dirac structures on Hilbert spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1999
For a real Hilbert space (H,〈,〉), a subspace L⊂H⊕H is said to be a Dirac structure on H if it is maximally isotropic with respect to the pairing 〈(x,y),(x′,y′)〉+=(1/2)(〈x,y′〉+〈x′,y〉).
A. Parsian, A. Shafei Deh Abad
doaj   +1 more source

Upper Bound Design for the Lipschitz Constant of the FG(ν,q)-Entropy Operator

open access: yesMathematics, 2018
This paper develops an upper bound design method of the Lipschitz constant for the generalized Fermi–Dirac information entropy operator with a polyhedral admissible set.
Yuri S. Popkov
doaj   +1 more source

High‐Speed Altitude Regulation With Neuromorphic Camera and Lightweight Embedded Computation

open access: yesAdvanced Intelligent Systems, EarlyView.
Neuromorphic cameras deliver rapid, high‐dynamic‐range sensing but overwhelm embedded processors at high speeds. This work presents a lightweight, optimized Lucas–Kanade optical flow method with parallelization, gyroscopic derotation, and adaptive event slicing.
Simon L. Jeger   +3 more
wiley   +1 more source

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