Results 91 to 100 of about 164,472 (335)
On the Solution of Gauss Circle Problem Conjecture (Revised)
We give a proof of a mean value asymptotic formula for the number of representations of an integer as sum of two squares known as the Gauss circle problem.Comment: Gauss Circle ...
Bagis, Nikolaos D.
core
Disentangling Coincident Cell Events Using Deep Transfer Learning and Compressive Sensing
Overlapping cells during detection distort single‐cell measurements and reduce diagnostic accuracy. A hybrid framework combining a fully convolutional neural network with compressive sensing to disentangle overlapping signals directly from raw time‐series data is presented.
Moritz Leuthner +2 more
wiley +1 more source
Contiguous Extensions of Dixon's Theorem on the Sum of a 3F2
In 1994, Lavoie et al. have succeeded in artificially constructing a formula consisting of twenty three interesting results, except for five cases, closely related to the classical Dixon's theorem on the sum of a 3F2 by making a systematic use of ...
Junesang Choi
doaj +1 more source
Decomposition by Partial Linearization: Parallel Optimization of Multi-Agent Systems
We propose a novel decomposition framework for the distributed optimization of general nonconvex sum-utility functions arising naturally in the system design of wireless multiuser interfering systems. Our main contributions are: i) the development of the
Facchinei, Francisco +4 more
core +2 more sources
Bioimaging of the sense organs and brain of fishes and reptiles. Left panel: 3D reconstruction of the head and brain of the deep‐sea viperfish Chauliodus sloani following diceCT. Right panel: A 3D reconstruction of a 70‐day‐old embryo head of the bearded dragon Pogona vitticeps following diceCT, showing the position of the segmented brain within the ...
Shaun P. Collin +9 more
wiley +1 more source
Let \(F\) be an abelian number field containing a primitive root of unity \(\zeta _ p\) with Galois group \(\Lambda = {\text{Gal}} (F/{\mathbb Q})\) over \(\mathbb Q\). For a fixed prime number \(p\), let \(F _ \infty\) denote the cyclotomic \({\mathbb Z} _ p\) extension of \(F\), where \({\mathbb Z}_ p\) denotes the ring of \(p\)-adic numbers.
openaire +1 more source
Reacting Bis2GaBr (Bis = CH(SiMe3)2) with Bis2AlH selectively yields Bis2GaH, a monomeric hydride in solution, characterized by diffusion ordered spectroscopy NMR, infrared spectroscopy and indirectly via hydrogallation. A one‐pot route enables frustrated Lewis pairs Bis2EOPtBu2 (E = Al, Ga), with the gallium analog splitting H2 and showing a dynamic ...
Julian Buth +7 more
wiley +1 more source
Gauss images of hyperbolic cusps with convex polyhedral boundary [PDF]
We prove that a 3--dimensional hyperbolic cusp with convex polyhedral boundary is uniquely determined by its Gauss image. Furthermore, any spherical metric on the torus with cone singularities of negative curvature and all closed contractible geodesics ...
Fillastre, François, Izmestiev, Ivan
core +1 more source
Covalent Attachment of a Platinum(II) Complex inside DNA Duplexes
Oxidative addition is used for the site‐specific incorporation of an organometallic PtII complex as an artificial nucleobase into a DNA duplex. The platination stabilizes the duplex and confers it with phosphorescence. An organometallic phosphorescent PtII complex is introduced into DNA duplexes via oxidative addition to a tailor‐made artificial ...
Tim Schäfer +6 more
wiley +1 more source
Quantum temporal imaging with squeezed light
We consider a simple quantum temporal imaging system on the basis of a time lens implemented by a parametric nonlinear optical process with a chirped pump. We review the main results of the modal theory of temporal imaging, developed recently by us.
Patera Giuseppe +2 more
doaj +1 more source

