Results 121 to 130 of about 7,730 (247)

Hyperbolic Rotations With Hybrid Numbers

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper presents a geometric and algebraic analysis of hyperbolic hybrid numbers, which combine structural features of the complex, dual, and hyperbolic number systems. Based on the algebraic properties of the hybrid number set, hyperbolic rotations in both the plane and space are investigated.
İskender Öztürk, Hasan Çakır, Mustafa Özdemir   +2 more
wiley   +1 more source

Duality and decoding of linearized Algebraic Geometry codes

We design a polynomial time decoding algorithm for linearized Algebraic Geometry codes with unramified evaluation places, a family of sum-rank metric evaluation codes on division algebras over function fields.
Berardini, Elena, Caruso, Xavier, Drain, Fabrice   +2 more
core   +2 more sources

Fano and reflexive polytopes from Feynman integrals

Journal of High Energy Physics
We classify the Fano and reflexive polytopes that arise from quasi-finite Feynman integrals. These polytopes appear as scaled Minkowski sums of the Newton polytopes associated with the Symanzik graph polynomials.
Leonardo de la Cruz, Pavel P. Novichkov, Pierre Vanhove   +2 more
doaj   +1 more source

An Implicit Nodal–Staggered Finite Difference Scheme for Damped Shear Beam Models Without Rotational Inertia

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop and analyze a fully discrete finite difference approximation for a damped shear beam model with mixed boundary conditions and no rotational inertia. The absence of a second‐order time derivative in the rotational equation gives rise to an asymmetric temporal structure.
Anderson de Jesus Araújo Ramos, André Fellipe Ribeiro de Almeida, Manoel Jeremias Dos Santos, Carlos Alberto da Silva Nonato   +3 more
wiley   +1 more source

Cluster bootstrap for cosmological correlators

Journal of High Energy Physics
We show that cosmological wavefunction coefficients associated with n-site chain and loop graphs for a cubic scalar theory in de Sitter spacetime have symbol alphabets given by subsets of A 2n−2 and B 2n−1 cluster variables, respectively, and satisfy the
Shruti Paranjape, Marcos Skowronek, Marcus Spradlin, Anastasia Volovich, He-Chen Weng   +4 more
doaj   +1 more source

High Dynamic Range Turbo‐FLASH B1 Mapping for Characterizing Multi‐Transmit Multi‐Receive RF Arrays, Validated at 7 T and 11.7 T

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose Transmit (B1+) and receive (B1−) sensitivities of parallel‐transmit/receive RF array are a prerequisite for modern ultra‐high‐field MRI. Their accurate mapping remains challenging for coils with high transmit dynamic range, particularly in regions with low combined‐mode B1+ magnitude, where standard reconstruction is impaired by noise.
Natalia Dudysheva, Franck Mauconduit, Michel Luong, Alexis Amadon, Nicolas Boulant, Vincent Gras   +5 more
wiley   +1 more source

Linear Mechatronic Modeling of Rectangular Tank Sloshing Dynamics

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Sloshing dynamics in partially filled tanks can strongly influence system‐level behavior when fluid motion couples with rigid‐body dynamics. This paper presents a linear and acausal two‐dimensional sloshing model for rectangular tanks, based on the reformulation of established sloshing theory within a modular, multi‐domain modeling framework ...
Magnus Steinstø, Eilif Pedersen
wiley   +1 more source

Design and Multibody Dynamics Modeling of a Novel High‐Static‐Low‐Dynamic‐Stiffness Vibration Isolation Mechanism Based on Euler Buckling Characteristics

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Vibration isolation has long been a critical area of research, with the design of isolators based on the mechanical properties of Euler buckling beams representing one of the primary approaches. Traditionally, the focus has been on utilizing the negative stiffness characteristics of a post‐buckled Euler beam in parallel with positive stiffness
Yichang Feng, Yongpeng Gu, Gexue Ren, Suyuan Yu   +3 more
wiley   +1 more source

Dynamic Performance Enhancement of a High‐Agility Hypersonic Mechanical System via a Learning‐Augmented Robust Control Architecture

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT The design of control systems for high‐agility mechanical systems operating in extreme environments is a significant challenge in nonlinear dynamics. This paper addresses the complex dynamic control problem of a hypersonic interceptor, modeled as a multi‐input multi‐output (MIMO) mechanical system characterized by strong aerodynamic cross ...
Mohammad Mahdi Soori, Seyed Hossein Sadati   +1 more
wiley   +1 more source

The interplay between differential geometry and differential equations

, 1995
This work applies symplectic methods and discusses quantization problems to emphasize the advantage of an algebraic geometry approach to nonlinear differential equations.
Lychagin, V V
core