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Joint Discrete Approximation by Shifts of Hurwitz Zeta-Function: The Case of Short Intervals
MathematicsSince 1975, it has been known that the Hurwitz zeta-function has a unique property to approximate by its shifts all analytic functions defined in the strip D={s=σ+it:1 ...
Antanas Laurinčikas +1 more
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BMC Medical Education, 2018 Background The recent introduction of the Professional Performance Framework by the Medical Board of Australia is intended to strengthen continuing professional development for the 100,000 or so medical practitioners in Australia.
Ajit Narayanan +2 more
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Advanced Functional Materials, EarlyView.This work presents a programmable atomic engineering strategy for 2D materials using Å‐scale nanoreactors formed by bilayer graphene (BLG) intercalation. A new class of alkali‐iron‐chloride compounds, along with lateral heterostructures composed of monolayer alkali halides and iron chlorides, is revealed.
Haiming Sun +6 more
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Joint approximation of analytic functions by the shifts of Hurwitz zeta-functions in short intervals
Open MathematicsIn the article, we obtain that, for algebraically independent over Q{\mathbb{Q}} parameters α1,…,αr{\alpha }_{1},\ldots ,{\alpha }_{r}, there are infinitely many shifts (ζ(s+iτ,α1),…,ζ(s+iτ,αr))\left(\zeta \left(s+i\tau ,{\alpha }_{1}),\ldots ,\zeta ...
Laurinčikas Antanas +1 more
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Equivalents of the Riemann hypothesis involving the Gram points
Mathematical Modelling and AnalysisThe Riemann hypothesis (RH) on zeros of the zeta-function $\zeta(s)$, $s=\sigma +it$, states that all zeros of $\zeta(s)$ in the strip $0< \sigma < 1$ lie on the line $\sigma =1/2$. Several equivalents of RH are known.
Julija Karaliūnaitė +1 more
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WEAK CONVERGENCE OF PROBABILITY MEASURES ALONG PROJECTIVE SYSTEMS
Demonstratio Mathematica, 1993 The author generalizes the notion of weak convergence of probability measures to the case when each measure \(\mu_ \alpha\) of a net \(\{\mu_ \alpha\}\) of probability measures is defined on the Borel \(\sigma\)- algebra of a metrizable topological space \(\Omega_ \alpha\) and the system \(\{\Omega_ \alpha\}\) forms a projective system of topological ...
openaire +2 more sources
Opportunities of Semiconducting Oxide Nanostructures as Advanced Luminescent Materials in Photonics
Advanced Materials, EarlyView.The review discusses the challenges of wide and ultrawide bandgap semiconducting oxides as a suitable material platform for photonics. They offer great versatility in terms of tuning microstructure, native defects, doping, anisotropy, and micro‐ and nano‐structuring. The review focuses on their light emission, light‐confinement in optical cavities, and
Ana Cremades +7 more
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Uniform Convergence of Probability Measures: Topological Criteria
, 1994 Uniform convergence of probability measures is analyzed by topologizing the space of events.
Lucchetti, R. +2 more
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On Joint Approximation of Analytic Functions by Beurling Zeta-Functions
MathematicsFor j=1,…,r, let Pj be a system of generalized prime numbers, NPj the corresponding system of generalized integers, and ζPj(s), s=σ+it, the Beurling zeta-function. In the paper, we consider simultaneous approximation of a collection of analytic functions
Andrius Geštautas +2 more
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Advanced Materials, EarlyView.2D α‐Co(OH)2 interleaved with Mo species displays an appealing dual functionality for the production and use of green hydrogen.Mo incorporation greatly benefits the electrochemical behaviour in Oxygen Evolution Reaction for H2 production, while the magnetocaloric response at liquid H2 temperature paves the way for alternative cryogenic refrigerants ...
Daniel Muñoz‐Gil +14 more
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