Results 131 to 140 of about 1,038,620 (334)
Reduction of multiple harmonic sums and harmonic polylogarithms [PDF]
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
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]
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]
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
On the growth of minimal positive harmonic functions in a plane region [PDF]
Bo Kjellberg
openalex +1 more source
Harmonic numbers, harmonic series and zeta function [PDF]
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 seriesis(z)=∑n=1∞μ(n)nszn$\mathcal{M}{i_s}(z) = \sum\limits_{
openaire +3 more sources
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
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
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