Results 41 to 50 of about 5,174 (205)
Parallel Vector Processing in Optical Computing With Jacobi Time‐Wave Packets
Laser &Photonics Reviews, EarlyView.Functionality of a single neuron and state of the art photonic acceleration with a Mach‐Zehnder‐interferometer (MZI) mesh (i), a crossbar array (ii) and a micro ring resonator (MRR) array (iii). In the proposed Jacobi time‐wave packet approach (iv) a single modulator (here a ring modulator) is performing the whole scalar vector product in a single ...
Janosch Meier +5 more
wiley +1 more source
Quasi-Jacobi forms, elliptic genera and strings in four dimensions
Journal of High Energy Physics, 2021 We investigate the interplay between the enumerative geometry of Calabi-Yau fourfolds with fluxes and the modularity of elliptic genera in four-dimensional string theories.
Seung-Joo Lee +3 more
doaj +1 more source
Transversal Jacobi fields for harmonic foliations.
Michigan Mathematical Journal, 1987 Theorem 1. Let \({\mathcal F}\) be a transversally orientable harmonic Riemannian foliation of a compact orientable Riemannian manifold M, and Y an infinitesimal automorphism of \({\mathcal F}\). Then the following conditions are equivalent: (i) \(\pi\) (Y) is a transversal Killing field; (ii) \(\pi\) (Y) is a transversally divergence-free Jacobi field;
Kamber, Franz W. +2 more
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Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar +3 more
wiley +1 more source
Simple model for the nonlinear radiation field of a free electron laser
Physical Review Accelerators and Beams, 2020 It is shown that Jacobi elliptic function solutions of the nonlinear Duffing equation model the radiation field in a high-gain free electron laser through early saturation. After initial start-up, the field can be expressed equivalently with a hyperbolic
Erik Hemsing
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Nordic Journal of Botany, EarlyView.Phenotypic plasticity can facilitate species survival in a variety of conditions that are not possible with a fixed phenotype. Foliar water uptake (FWU), defined as the absorption of water through leaf surfaces, is an important mechanism contributing to plant water balance and drought tolerance in many species.
Daniela Boanares +4 more
wiley +1 more source
THE SQUARE OF WHITE NOISE AS A JACOBI FIELD [PDF]
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2004 We identify the representation of the square of white noise obtained by Accardi, Franz and Skeide in [Comm. Math. Phys.228 (2002) 123–150] with the Jacobi field of a Lévy process of Meixner's type.
openaire +2 more sources
Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Nonlinear ℋ∞$$ {\mathscr{H}}_{\infty } $$‐controllers are designed for arbitrarily weighted, continuous homogeneous systems with a focus on systems affine in the control input. Based on the homogeneous ℒp$$ {\mathcal{L}}_p $$‐norm, the input–output behavior is quantified in terms of the homogeneous ℒp$$ {\mathcal{L}}_p $$‐gain as a ...
Daipeng Zhang +3 more
wiley +1 more source
Hamiltonian approach to GR – Part 2: covariant theory of quantum gravity
European Physical Journal C: Particles and Fields, 2017 A non-perturbative quantum field theory of General Relativity is presented which leads to a new realization of the theory of covariant quantum gravity (CQG-theory). The treatment is founded on the recently identified Hamiltonian structure associated with
Claudio Cremaschini, Massimo Tessarotto
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Sustainable Development, EarlyView.ABSTRACT Modern industrial agriculture is predicated largely on the production and utilization of chemical fertilizers. Although this approach has played an integral role in increasing food security in many parts of the world, the long‐term sustainability of this resource‐intensive approach is questionable.
Benjamin Wilde +12 more
wiley +1 more source