Results 161 to 170 of about 2,055,605 (307)

Purely Coclosed G2‐Structures on Nilmanifolds—II

Mathematische Nachrichten, EarlyView.
ABSTRACT This paper completes the classification of seven‐dimensional nilpotent Lie groups endowed with a left‐invariant purely coclosed G2$\text{G}_2$‐structure, initiated in Bazzoni et al. [Mathematische Nachrichten 296 no. 6 (2023): 2236–2257], the authors provided the classification of decomposable seven‐dimensional nilpotent Lie groups and of the ...
Giovanni Bazzoni, Giorgia Petracci
wiley   +1 more source

Connecting scalar amplitudes using the positive tropical Grassmannian

Journal of High Energy Physics
The biadjoint scalar partial amplitude, m n I I $$ {m}_n\left(\mathbbm{I},\mathbbm{I}\right) $$ , can be expressed as a single integral over the positive tropical Grassmannian thus producing a Global Schwinger Parameterization.
Freddy Cachazo, Bruno Giménez Umbert
doaj   +1 more source

Hilbert's Basis Theorem for Poisson Ore Extensions

Mathematische Nachrichten, EarlyView.
ABSTRACT We prove an analogue of Hilbert's basis theorem for Poisson Ore extensions and Poisson Laurent Ore extensions. We also obtain corresponding results for iterated Poisson Ore extensions and iterated Poisson Laurent Ore extensions associated to commuting Poisson‐pairs.
Per Bäck, Patrik Lundström, Johan Öinert, Johan Richter   +3 more
wiley   +1 more source

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

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis, S. Moyo, P. G. L. Leach   +2 more
wiley   +1 more source

On Geometric Phase Model in the Theory of Curves With Myller Configuration

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we introduce a linearly polarized light wave in an optical fiber and rotation of the polarization plane through the Frenet‐type frame with Myller configuration. Since the geometric evaluation and interpretations of a polarized light wave are associated with geometric phase, a new type of geometric phase model has been ...
Zehra İşbilir, Bahar Doğan Yazıcı, Murat Tosun   +2 more
wiley   +1 more source

Noncommutative differential calculus and Calabi-Yau geometry

, 2019
Quivers with potential appear naturally in the study of the deformation theory of objects in 3D Calabi-Yau categories, for example the deformation of vector bundles on 3D Calabi-Yau manifolds.
Hua, Z
core  

On the Approximation Properties of Modified Bernstein–Kantorovich Operators and Their Subfamilies

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Motivated by the construction of Bernstein–Kantorovich operators preserving affine functions, we introduce a Bernstein–Kantorovich type operators 𝒯n,m together with its subfamilies 𝒯∗n,m, 𝒯∗n,2m−1 and 𝒯∗n,2m. We investigate and compare their approximation properties with the other Bernstein–Kantorovich operators. Our analysis demonstrates that,
Hüseyin Aktuğlu, Mustafa Kara
wiley   +1 more source

Uncertainty, Sensitivity, and Efficiency Analysis of a Hybrid Piezoelectric–Electromagnetic Energy Harvester

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Digitalization and emerging technologies are increasing the demand for wireless sensing and the Internet of Things (IoT), which provide opportunities for autonomous sources of electricity in the form of energy harvesting systems. This paper focuses on the challenges in hybrid piezoelectric‐electromagnetic kinetic energy harvesting systems that
Petr Sosna, Damian Gaska, Zdeněk Hadaš
wiley   +1 more source

Robust Position Control of an Electro‐Hydraulic Actuator via Metaheuristic Optimization of a Fractional‐Order PID Controller

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT In this study, a robust position control strategy is presented for a two‐stage electro‐hydraulic actuator system using a fractional‐order proportional–integral–derivative (FOPID) controller tuned by Kirchhoff's law algorithm (KLA). Electro‐hydraulic systems exhibit strong nonlinearities, parameter uncertainties, and external disturbances ...
Ridvan Firat Cinar, Davut Izci, Serdar Ekinci, Mohammad Salman, Mohammad Al‐Rabayah, Ali Akdagli, Ali Yildiz, Filiz Karaomerlioglu, Gökhan Yüksek   +8 more
wiley   +1 more source