Results 101 to 110 of about 884,151 (313)

Local units and Gauss sums

Journal of Number Theory, 2003
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

Spheres, tears, and spears: Regulating the perimeter and circularity of millimeter‐sized alginate hydrogel beads

AIChE Journal, EarlyView.
Abstract Generating hydrogel beads pertains to many engineering applications. We examined two alginate‐based fluids at three concentrations of alginate, cAG$$ {c}_{\mathrm{AG}} $$. We used the “Map of Misery” to determine which material property (viscosity, elasticity, and inertia) drives droplet formation.
Conor G. Harris, Katherine D. Bandettini, Hannah K. Gedde, Lewis Semprini, Kaitlin C. Fogg, Willie E. Rochefort   +5 more
wiley   +1 more source

Crater Observing Bioinspired Rolling Articulator (COBRA)

Advanced Intelligent Systems, EarlyView.
Crater Observing Bio‐inspired Rolling Articulator (COBRA) is a modular, snake‐inspired robot that addresses the mobility challenges of extraterrestrial exploration sites such as Shackleton Crater. Incorporating snake‐like gaits and tumbling locomotion, COBRA navigates both uneven surfaces and steep crater walls.
Adarsh Salagame, Henry Noyes, Eric Sihite, Arash Kalantari, Alireza Ramezani   +4 more
wiley   +1 more source

On the two-term exponential sums and character sums of polynomials

Open Mathematics, 2019
The main aim of this paper is to use the analytic methods and the properties of the classical Gauss sums to research the computational problem of one kind hybrid power mean containing the character sums of polynomials and two-term exponential sums modulo
Ma Yuankui, Zhang Wenpeng
doaj   +1 more source

Disentangling Coincident Cell Events Using Deep Transfer Learning and Compressive Sensing

Advanced Intelligent Systems, EarlyView.
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, Rafael Vorländer, Oliver Hayden   +2 more
wiley   +1 more source

Some New Identities Related to Dedekind Sums Modulo a Prime

Journal of Mathematics
The main purpose of this article is to use some identities of the classical Gauss sums, the properties of character sums, and Dedekind sums (modulo an odd prime) to study the computational problem of one-kind mean values related to Dedekind sums and give
Jiayuan Hu
doaj   +1 more source

Neuromorphic Photonic Processing and Memory With Spiking Resonant Tunneling Diode Neurons and Neural Networks

Advanced Intelligent Systems, EarlyView.
This work shows resonant tunneling diode‐based opto‐electronic spiking neurons enabling fast edge detection in time series, a two‐layer photonic spiking neural network for complex classification, and a depth‐tunable photonic spiking memory system. Neuromorphic computing—modeled after the functionality and efficiency of biological neural systems—offers ...
Dafydd Owen‐Newns, Joshua Robertson, Giovanni Donati, Qusay Al‐Taai, José Figueiredo, Edward Wasige, Kathy Lüdge, Bruno Romeira, Antonio Hurtado   +8 more
wiley   +1 more source

Cyclotomy of order 15 over GF(p2), p=4, 11(mod15)

International Journal of Mathematics and Mathematical Sciences, 1986
For primes p≡4, 11(mod15) explicit formulae are obtained for the cyclotomic numbers of order 15 over GF(p2).
Christian Friesen, Joseph B. Muskat, Blair K. Spearman, Kenneth S. Williams   +3 more
doaj   +1 more source

Bioimaging of sense organs and the central nervous system in extant fishes and reptiles in situ: A review

The Anatomical Record, EarlyView.
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, Kara E. Yopak, Jenna M. Crowe‐Riddell, Victoria Camilieri‐Asch, Caroline C. Kerr, Hope Robins, Myoung Hoon Ha, Annalise Ceddia, Travis L. Dutka, Lucille Chapuis   +9 more
wiley   +1 more source

Kummer’s conjecture for cubic Gauss sums [PDF]

Israel Journal of Mathematics, 2000
In J. Reine Angew. Math. 310, 111--130 (1979; Zbl 0412.10028) the author and the reviewer proved that cubic Gauss sums defined over primes in the ring \(\mathbb Z[\omega]\), \(\omega^2+ \omega+1=0\) were uniformly distributed; this result showed in particular that conjecture (or rather suggestion) about the distribution of the values of cubic Gauss ...
openaire   +3 more sources