Results 101 to 110 of about 9,260 (251)
Reversal Asymmetry of Reciprocal Metasurface Enables Ultra‐Compact Varifocal Reflective Lens
Laser &Photonics Reviews, EarlyView.The possibility of breaking the reversal symmetry of a lens without violating reciprocity is demonstrated. The freedom provided is utilized to realize an ultra‐compact reflective varifocal lens‐doublet based on a flat metasurface lens and a piezoelectric actuated micromirror.
Christopher A. Dirdal +6 more
wiley +1 more source
Geometry of differential operators of second order, the algebra of densities, and groupoids
, 2012 H. M. Khudaverdian, Th.Th. Voronov
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Global and microlocal aspects of Dirac operators: Propagators and Hadamard states
Mathematische Nachrichten, EarlyView.Abstract We propose a geometric approach to construct the Cauchy evolution operator for the Lorentzian Dirac operator on Cauchy‐compact globally hyperbolic 4‐manifolds. We realize the Cauchy evolution operator as the sum of two invariantly defined oscillatory integrals—the positive and negative Dirac propagators—global in space and in time, with ...
Matteo Capoferri, Simone Murro
wiley +1 more source
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 +2 more
wiley +1 more source
Chiral-Yang-Mills theory, non commutative differential geometry, and the need for a Lie super-algebra [PDF]
, 2006 Jean Thierry‐Mieg
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Superquadric Motion and Superquadric Hyperbolic Split Quaternion Algebra Via Gielis Formula
Mathematical 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
A New Approach to the Accretive Growth of Surfaces Via Hyperbolical Kinematics
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In the current work, we introduce the accretive growth of surfaces by using hyperbolical geometry. First, we describe hyperbolical kinematics along a generating curve to construct accretive surfaces having a hyperbolical cross‐section. The obtained surfaces are not only the ones having hyperbolical cross‐sections but also their material points
Gül Tuğ, Zehra Özdemir
wiley +1 more source
Molecular Nutrition &Food Research, EarlyView.A randomized crossover trial in healthy young adults (n = 16) compared the effects of lean red meat from beef (Pirenaica breed) and lean white meat from chicken on the gut microbiota composition and function. Both meat diets caused modest changes in microbial diversity and composition, suggesting comparable impacts when consumed as part of a habitual ...
Isabel Rueda‐De Torre +10 more
wiley +1 more source
Image space formalism of convolutional neural networks for k‐space interpolation
Magnetic Resonance in Medicine, EarlyView.Abstract Purpose Noise resilience in image reconstructions by scan‐specific robust artificial neural networks for k‐space interpolation (RAKI) is linked to nonlinear activations in k‐space. To gain a deeper understanding of this relationship, an image space formalism of RAKI is introduced for analyzing noise propagation analytically, identifying and ...
P. Dawood +6 more
wiley +1 more source