Results 81 to 90 of about 1,538 (222)
Controlling the Center of Mass Motion of Levitated Particles Using Structured Wavefronts
Laser &Photonics Reviews, EarlyView.Optically levitated particles have great potential for quantum‐enhanced sensing. Precise control of the trapping beam is crucial to improve the stability and confinement of these systems. Here, we study how structured wavefronts can be used to control the center‐of‐mass motion of levitated particles, enhancing trap stiffness and enabling stable ...
Shah Jee Rahman +7 more
wiley +1 more source
An introduction to the theory of orthogonal rational functions on the unit circle
, 2010 The main theme of the course is to present some facts on the theory of orthogonal rational functions on the unit circle. In doing so, we are guided by the work of A. Bultheel, P. Gonzalez-Vera, E. Hendriksen, and O. Njastad.
Lasarow, Andreas
core
Hearing the Serre Invariant of a Compact p‐Adic Analytic Manifold
Mathematische Nachrichten, EarlyView.ABSTRACT Using a previous novel way of defining kernel functions for Laplacian integral operators on a compact p$p$‐adic analytic manifold X$X$, one such operator Δ0s$\Delta _0^s$ with s∈R$s\in \mathbb {R}$ is applied to hearing the Serre invariant i(X)$i(X)$ by showing that a wavelet eigenvalue (with the wavelet having small support) is always ...
Patrick Erik Bradley +1 more
wiley +1 more source
Regularity Estimates for Fully Nonlinear Dead‐Core Problems With a Hamiltonian Term
Mathematische Nachrichten, EarlyView.ABSTRACT In this paper, we present a problem involving fully nonlinear elliptic operators with Hamiltonian, which can present a singularity or degenerate as the gradient approaches the origin. The model studied here, allows the appearance of plateau zones, i.e., unknown regions of the domain in which the non‐negative solutions vanishes.
Rafael R. Costa, Ginaldo S. Sá
wiley +1 more source
Peskine Sixfolds and Debarre–Voisin Fourfolds With Associated Cubic Fourfolds
Mathematische Nachrichten, EarlyView.ABSTRACT We develop the notion of Peskine sixfolds with associated K3 surfaces and cubic fourfolds and work out numerical conditions for when these associations occur. In discriminant 24, the first family for which there is an associated cubic fourfold, we identify the cubic explicitly.
Corey Brooke +3 more
wiley +1 more source
Some basic facts on orthogonal rational matrix functions on the unit circle
, 2010 We consider spaces of (square) matrix functions each entry of which is a rational (complex-valued) function with prescribed poles. In particular, the poles of these rational functions are not located on the unit circle of the complex plane.
Lasarow, Andreas
core
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 +2 more
wiley +1 more source
New views of some invariants associated with the Cartesian 2D velocity gradient tensor
Quarterly Journal of the Royal Meteorological Society, EarlyView.Vorticity and divergence of horizontal flow are fundamental quantities in meteorology; both are linear functions of the four elements of the 2D velocity gradient tensor and both are formally unchanged under coordinate rotation. We explore four quadratic functions of the elements that are geometrically invariant in this sense, finding some novel ...
I. Roulstone, S. A. Clough, A. A. White
wiley +1 more source
Quarterly Journal of the Royal Meteorological Society, EarlyView.An energy‐conserving discrete framework for the vertical discretisation of stratified ocean models is developed using internal gravity‐wave theory. A β$$ \beta $$‐indexed family of schemes is analysed through perturbation theory, revealing optimal parameter choices and grid designs that reduce truncation errors significantly.
Gabriel Derrida +3 more
wiley +1 more source
Quarterly Journal of the Royal Meteorological Society, EarlyView.Using S‐band dual‐polarization radar and disdrometers during PRECIP 2022 in Taiwan, we analyze a Mei‐Yu frontal event with widespread stratiform rain and embedded convection. Multiple disdrometers are used to create a novel drop size distribution model for S‐band radars resolving both the drizzle and precipitation modes. The model reveals both inferred
Ian C. Cornejo +3 more
wiley +1 more source