Results 131 to 140 of about 1,038,620 (334)

Reduction of multiple harmonic sums and harmonic polylogarithms [PDF]

open access: yesNuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 2004
The alternating and non-alternating harmonic sums and other algebraic objects of the same equivalence class are connected by algebraic relations which are induced by the product of these quantities and which depend on their index calss rather than on their value. We show how to find a basis of the associated algebra.
openaire   +4 more sources

Conducting Polymer Microelectrode Arrays for Simultaneous Electrophysiology and Advanced Brain Imaging

open access: yesAdvanced Functional Materials, EarlyView.
A flexible micro‐electrocorticography array with PEDOT:SS electrodes is shown to be compatible with ultra‐high magnetic field MRI up to 9.4 T. Multimodal brain monitoring is demonstrated by performing simultaneous blood oxygen level‐dependent functional MRI in parallel with electrophysiology.
Sagnik Middya   +7 more
wiley   +1 more source

Closures of Harmonic Bergman Besov Spaces in the Weighted Harmonic Bloch Spaces on the Unit Ball [PDF]

open access: yesarXiv
In this paper, via invertible radial differential operators, we characterize the closures of the harmonic Bergman Besov Spaces in the weighted harmonic Bloch spaces on the unit ball of Rn in terms of natural level sets. To this end, we first show that the harmonic Bergman Besov space is contained in the weighted harmonic little Bloch space.
arxiv  

On harmonic and asymptotically harmonic homogeneous spaces [PDF]

open access: yesarXiv, 2004
We classify noncompact homogeneous spaces which are Einstein and asymptotically harmonic. This completes the classification of Riemannian harmonic spaces in the homogeneous case: Any simply connected homogeneous harmonic space is flat, or rank-one symmetric, or a nonsymmetric Damek-Ricci space. Independently, Y.
arxiv  

Harmonic numbers, harmonic series and zeta function [PDF]

open access: yesMoroccan Journal of Pure and Applied Analysis, 2018
AbstractThis paper reviews, from different points of view, results on Bernoulli numbers and polynomials, the distribution of prime numbers in connexion with the Riemann hypothesis. We give an account on the theorem of G. Robin, as formulated by J. Lagarias. The other parts are devoted to the series𝒨is(z)=∑n=1∞μ(n)nszn$\mathcal{M}{i_s}(z) = \sum\limits_{
openaire   +3 more sources

Biomimetic Design of Biocompatible Neural Probes for Deep Brain Signal Monitoring and Stimulation: Super Static Interface for Immune Response‐Enhanced Contact

open access: yesAdvanced Functional Materials, EarlyView.
Ultrathin, flexible neural probes are developed with an innovative, biomimetic design incorporating brain tissue‐compatible materials. The material system employs biomolecule‐based encapsulation agents to mitigate inflammatory responses, as demonstrated through comprehensive in vitro and in vivo studies.
Jeonghwa Jeong   +7 more
wiley   +1 more source

Decentralised Power Active Filters

open access: yesAdvances in Electrical and Electronic Engineering, 2004
This paper deals with a decentralised power active filter control based on the separated computation of reference current for each active filter operating under determinated harmonic frequency.
Marek Roch   +2 more
doaj  

Impact of Multiple Grid-Connected Solar PV Inverters on Harmonics in the High-Frequency Range

open access: yesEnergies
In recent years, integration of solar photovoltaic (PV) systems into distribution networks has been increasing rapidly, as it has become the most promising renewable energy source (RES) in the transition of power generation from centralised to ...
Kasun Peiris   +3 more
doaj   +1 more source

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