Characterizing barren plateaus in quantum ansätze with the adjoint representation. [PDF]
Fontana E+7 more
europepmc +1 more source
Some Remarks on the Representation of the Generalized Deformed Oscillator Algebra
V. V. Borzov+2 more
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Spectral Parameter Power Series for Zakharov‐Shabat Direct and Inverse Scattering Problems
ABSTRACT We study the direct and inverse scattering problems for the Zakharov‐Shabat system. Representations for the Jost solutions are obtained in the form of the power series in terms of a transformed spectral parameter. In terms of that parameter, the Jost solutions are convergent power series in the unit disk.
Vladislav V. Kravchenko
wiley +1 more source
Evaluation of data driven low-rank matrix factorization for accelerated solutions of the Vlasov equation. [PDF]
Jonnalagadda B, Becker S.
europepmc +1 more source
Meta‐Metamodelling of Engineering Systems by Help of Abstract Mathematics
ABSTRACT The growing trend of automation in engineering significantly increases the complexity of engineering systems and necessitates a deeper understanding of the coupling of physical and cyber components interacting within the systems. A typical example of such a highly coupled system is an autonomous construction site, where robotic systems aim to ...
Daniel Luckey, Dmitrii Legatiuk
wiley +1 more source
Near Linearity of the Macroscopic Hall Current Response in Infinitely Extended Gapped Fermion Systems. [PDF]
Wesle M+4 more
europepmc +1 more source
Graded Lie algebras, representation theory, integrable mappings and systems
A. N. Leznov
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Superquadric Motion and Superquadric Hyperbolic Split Quaternion Algebra Via Gielis Formula
ABSTRACT Superquadrics are one of the most suitable geometric tools for modeling many complex shapes in nature. It is possible to model many objects, human figures, and living creatures in nature in a suitable way by means of superquadrics. On the other hand, quaternions are useful in mathematics, especially for computations involving three‐dimensional
Zehra Özdemir, Esra Parlak
wiley +1 more source
Equivariant geometric convolutions for dynamical systems on vector and tensor images. [PDF]
Gregory WG+5 more
europepmc +1 more source
ABSTRACT In recent years, the study of sequential fractional differential equations (SFDEs) has become increasingly important in multiple domains of science and engineering. This work investigates a new class of boundary value problems (BVPs) characterized by nonlocal closed boundary conditions involving SFDEs with Caputo fractional integral operators.
Saud Fahad Aldosary+2 more
wiley +1 more source