Results 21 to 30 of about 545,914 (263)
Quantum Mechanics on Periodic and Non-Periodic Lattices and Almost Unitary Schwinger Operators
, 2017 In this work we uncover the mathematical structure of the Schwinger algebra and introduce an almost unitary Schwinger operators which are derived by considering translation operators on a finite lattice.
Arik, Metin, Ildes, Medine
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Existence of Positive Solutions for Non-Local Magnetic Fractional Systems
Fractal and FractionalIn this paper, the existence of a weak positive solution for non-local magnetic fractional systems is studied in the fractional magnetic Sobolev space through a sub-supersolution method combined with iterative techniques.
Tahar Bouali +3 more
doaj +1 more source
The Aharonov-Bohm effect for massless Dirac fermions and the spectral flow of Dirac type operators with classical boundary conditions [PDF]
, 2012 We compute, in topological terms, the spectral flow of an arbitrary family of self-adjoint Dirac type operators with classical (local) boundary conditions on a compact Riemannian manifold with boundary under the assumption that the initial and terminal ...
A. R. Akhmerov +31 more
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Approximation Results: Szász–Kantorovich Operators Enhanced by Frobenius–Euler–Type Polynomials
AxiomsThis research focuses on the approximation properties of Kantorovich-type operators using Frobenius–Euler–Simsek polynomials. The test functions and central moments are calculated as part of this study.
Nadeem Rao, Mohammad Farid, Mohd Raiz
doaj +1 more source
, 2018 We consider the mathematical background of the wavefront sensor type that is widely used in Adaptive Optics systems for astronomy, microscopy, and ophthalmology.
Hutterer, Victoria +2 more
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Generalized (τ, σ)-L-Derivations in Rings
MathematicsLet τ and σ:X⟶X be automorphisms of an arbitrary associative ring X, and let L be a prime ideal of X. The main objective of this article is to combine the notions of generalized L-derivations and (τ,σ)-L-derivations by introducing and analyzing a novel ...
Hicham Saber +5 more
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A Rigorous Analysis of Integro-Differential Operators with Non-Singular Kernels
Fractal and Fractional, 2023 Integro-differential operators with non-singular kernels have been much discussed among fractional calculus researchers. We present a mathematical study to clearly establish the rigorous foundations of this topic.
Arran Fernandez, Mohammed Al-Refai
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Weak commutation relations of unbounded operators and applications
, 2011 Four possible definitions of the commutation relation $[S,T]=\Id$ of two closable unbounded operators $S,T$ are compared. The {\em weak} sense of this commutator is given in terms of the inner product of the Hilbert space $\H$ where the operators act ...
Atsushi Inoue +6 more
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Mathematical and Computer Modelling of Dynamical SystemsThe degenerate gamma function is a recently developed special function associated with the classical beta function. This study employs the complex delta function to investigate a novel series representation of the degenerate gamma function.
Asifa Tassaddiq +3 more
doaj +1 more source
LDAcoop: Integrating non‐linear population dynamics into the analysis of clonogenic growth in vitro
Molecular Oncology, EarlyView.Limiting dilution assays (LDAs) quantify clonogenic growth by seeding serial dilutions of cells and scoring wells for colony formation. The fraction of negative wells is plotted against cells seeded and analyzed using the non‐linear modeling of LDAcoop.
Nikko Brix +13 more
wiley +1 more source