Results 261 to 270 of about 398,973 (330)

Characterizing barren plateaus in quantum ansätze with the adjoint representation. [PDF]

open access: yesNat Commun
Fontana E   +7 more
europepmc   +1 more source

Spectral Parameter Power Series for Zakharov‐Shabat Direct and Inverse Scattering Problems

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
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

Meta‐Metamodelling of Engineering Systems by Help of Abstract Mathematics

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
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

Superquadric Motion and Superquadric Hyperbolic Split Quaternion Algebra Via Gielis Formula

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
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]

open access: yesPhilos Trans A Math Phys Eng Sci
Gregory WG   +5 more
europepmc   +1 more source

Nonlinear Sequential Fractional Integro‐Differential Systems: Caputo‐Type Derivatives and Boundary Constraints

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
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

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