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HAUSDORFF MEASURE OF UNIFORM SELF-SIMILAR FRACTALS

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Analysis in Theory and Applications 2010年第1期26卷 84-100页

作者： wolfgang Kreitmeier University of Passau Innstraβe

Let d ≥ 1 be an integer and E a self-similar fractal set, which is the attractor of a uniform contracting iterated function system （UIFS） on R^d. Denote by D the Hausdorff dimension, by H^D（E） the Hausdorff measure and by diam（E） the diameter of E. If the UIFS is parametrised by its contracting factor c, while the set ω of fixed points of the UIFS does not depend on c, we will show the existence of a positive constant depending only on ω, such that the Hausdorff dimension is smaller than one and H^O（E） = diam（E）^D if c is smaller than this constant. We apply our result to modified versions of various classical fractals. Moreover, we present a parametrised UIFS, where ω depends on c and show the inequatily H^D（E）〈 diam（E）^D, if c is small enough.

关键词： self-similar set Hausdorff measure

TAX MORALE IN CLASSICAL ATHENS

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Journal of Ancient Civilizations 2019年第2期34卷 273-288,330页

作者： wolfgang Franzen Forschungsstelle für empirische Sozialökonomik e.V.(fores)(Office for Empirical Research on Social Economics Cologne)

Tax psychology is an interdisciplinary approach to explain attitudes and behavior of *** tax-psychological surveys usually focus on empirical data from contemporary societies,this article relies on historical studies of classical *** suggest that,due to specific political,social,and cultural conditions,in classical Athens tax morale has been positive and tax compliance rather high.

关键词： CLASS contemporary explain

Latency arbitrage and the synchronized placement of orders

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Financial Innovation 2023年第1期9卷 2650-2667页

作者： wolfgang Kuhle Department of Economics Corvinus UniversityBudapestHungary MEA Max Planck Institute for Social Law and Social PolicyMunichGermany Zhejiang University HangzhouChina

We argue that owing to traders’inability to fully express their preferences over the execution times of their orders,contemporary stock market designs are prone to latency *** turn,we propose a new order type,which allows traders to specify the time at which their orders are executed after reaching the *** recent latency data,we demonstrate that the order type proposed here allows traders to synchronize order executions across different exchanges,such that high-frequency traders,even if they operate at the speed of light,can no-longer engage in latency arbitrage.

关键词： Market design High-frequency trading Latency arbitrage

Effects of Bentonite,Hydrogel and Biochar Amendments on Soil Hydraulic Properties from Saturation to Oven Dryness

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Pedosphere 2019年第5期29卷 598-607页

作者： Osama M0HAWESH wolfgang DURNER Department of Plant Production Faculty of AgricultureMutah UniversityKarak 61710 (Jordan) Division of Environmental Science and Technology Graduate School of AgricultureKyoto UniversityKyoto 6110011 (Japan) Institute of Geoecology Technical University of BraunschweigLanger Kamp 19cBraunschweig 38106 (Germany)

Effects of hydrogel, bentonite, and biochar as soil amendments on soil hydraulic properties and improving water availability from saturation to oven dryness were investigated. Soils were mixed with hydrogel (0.10%, 0.25%, and 0.50%), bentonite (0.5%, 1.0%, and 2.5%), and biochar (1.0%, 2.5%, and 5.0%) as soil amendments (weight:weight). Three methods (extended multistep outflow (XMSO), evaporation (EVA), and WP4 dewpoint potentiometer) were used to measure soil hydraulic properties from saturation to oven dryness. The cumulative XMSO results were more uniform across all the applied pressure steps for the amended soils. The EVA exhibited a shorter linear decrease during the first evaporation stage and a lower evaporation rate during the second evaporation stage. The WP4 results also exhibited that soil amendments increased the soil water content of the amended soils at low matric potentials. The results of soil water retention curves revealed that the unamended soil retained less water at any matric potential compared to the amended soils. Soil hydraulic conductivity decreased with increasing amount of soil amendments. The saturated hydraulic conductivity was higher for the unamended soil than the soils amended w计h 2.5% bentonite, 0.50% hydrogel, and 5.0% biochar by 11, 3, and 18 times, respectively. These results suggested that soil amendments improved soil water retentivity, which confirmed the appropriateness of these soil amendments for potential use in sandy soil improvements. However, field experiments and economical perception studies should be considered for further investigation.

关键词： evaporation extended multistep outflow soil amendment soil matric potential soil moisture soil water retentivity water availability WP4 dewpoint potentiometer

Nafion/polypyrrole and Nafion/DMSO Organic Coatings for Magnesium Protection

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Journal of Materials Science & Technology 2007年第1期23卷 139-141页

作者： Renguo SONG Xiaohua ZHENG Carsten Blawer wolfgang Dietzel The MOE Key Laboratory of Mechanical Manufacture and Automation Zhejiang University of Technology Hangzhou 310014 China Center for Magnesium Technology Institute of Materials Research GKSS-Forschungszentrum Geesthacht GmbH Max-Planck Straβe 1 D-21502 Geesthacht Germany

Nafion/polypyrrole and Nafion/Dimethysulfoxid （DMSO） organic coatings were prepared on the surface of pure magnesium by simple immersion and heat treatment. The morphologies and corrosion resistance of the organic coatings were investigated by using optical microscopy and electrochemical corrosion testing, respectively. It is shown that Nafion/polypyrrole organic coatings resulted in the corrosion resistance of magnesium decreasing; while Nafion/DMSO organic coatings can effectively improve the corrosion resistance of magnesium. Also, the corrosion resistance increased with the thickness of the Nafion/DMSO organic coating increased.

关键词： Magnesium Naflon/polypyrrole organic coatings Naflon/DMSO organic coatings Corrosion resistance

Water-Lubricated Ni-Based Composite(Ni-Al_2O_3,Ni-SiC and Ni-ZrO_2)Thin Film Coatings for Industrial Applications

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Acta Metallurgica Sinica(English Letters) 2016年第1期29卷 8-16页

作者： Rizwan Sarwar Bajwa Zulfiqar Khan Vasilios Bakolas wolfgang Braun Faculty of Science and Technology Sustainable Design Research CentreBournemouth University Talbot Campus Advanced Bearing Analysis Schaeffler Technologies GmbH& Co.KG

In this work, pure nickel and Ni-based nanocomposite coatings （Ni-AI2O3, Ni-SiC and Ni-ZrO2） were pro- duced on steel substrate by using pulse electrodeposition technique. The industrial performance tests were conducted to evaluate the wear resistance, corrosion resistance, adhesion strength and wettability behaviour of newly developed coat- ings. Rolling contact ball-on-disc tribometer was used to assess anti-wear behaviour of these coatings under water- lubricated contacts. The results showed that the wear- and corrosion resistance properties of nickel alumina and Ni-SiC composite coatings significantly improved than that of pure Ni and Ni-ZrO2 coatings. The adhesion and wettability results of Ni-A1203 composite showed better performance when compared to the rest of the coatings. The effects of incorporating nanoparticles on the surface microstructure, interface adhesion and distribution of the particles were also investigated. The coatings were characterized by using scanning electron microscopy, X-ray diffraction analysis and 3D white light inter- ferometry. The wear failure behaviour of these coatings was further examined by post-test surface observation under optical microscope.

关键词： Electrodeposition Wear-resistant Corrosion-resistant Tribology Nanocoatings Water-lubrication

Next generation in vitro primary hepatic cell test systems—their suitability as an alternative to in vivo testing?

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Hepatobiliary Surgery and Nutrition 2020年第1期9卷 103-105页

作者： Ali Kermanizadeh wolfgang Moritz Heriot Watt University School of Engineering and Physical SciencesEdinburghUK InSphero SchlierenSwitzerland

To date traditional toxicity testing has relied heavily on in-life animal studies that are expensive and restrictive with regards to very important ethical implications. In addition, these studies often yield data that are not relevant to human exposures or biological responses due to intra-species variations, necessitating the requirement for further testing or candidate (drug) abandonment in late development stages. There is increasing global pressure from regulatory agencies, the general public, and the scientific community to develop in vitro alternatives for toxicity testing that can be utilized for mechanistic dose response hazard identification prior to embarking on small well designed and absolutely necessary in vivo studies.

关键词： testing vivo absolutely

First-principles search of hot superconductivity in La-X-H ternary hydrides

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npj Computational Materials 2022年第1期8卷 1-8页

作者： Simone Di Cataldo wolfgang von der Linden Lilia Boeri Institute of Theoretical and Computational Physics Graz University of TechnologyNAWI Graz8010GrazAustria Dipartimento di Fisica Sapienza Universitàdi Roma00185RomaItaly Centro Ricerche Enrico Fermi Via Panisperna89a00184RomaItaly

Motivated by the recent claim of hot superconductivity with critical temperatures up to 550 K in La + x hydrides,we investigate the high-pressure phase diagram of compounds that may have formed in the experiment,using first-principles calculations for evolutionary crystal structure prediction and *** from the hypothesis that the observed T_(c) may be realized by successive heating upon a pre-formed LaH_(10) phase,we examine plausible ternaries of lanthanum,hydrogen and other elements present in the diamond anvil cell: boron,nitrogen,carbon,platinum,gallium,*** find that only boron and,to a lesser extent,gallium form metastable superhydride-like structures that can host high-T_(c) superconductivity,but the predicted T_(c)’s are incompatible with the experimental *** results indicate that,while the claims of hot superconductivity should be reconsidered,it is very likely that unknown H-rich ternary or multinary phases containing lanthanum,hydrogen,and possibly boron or gallium may have formed under the reported experimental conditions,and that these may exhibit superconducting properties comparable,or even superior,to those of currently known hydrides.

关键词： hydrides boron superconductivity

Hidden in the parts:How the cell-type perspective reveals novel insights into plant-microbe interactions

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Molecular Plant 2023年第9期16卷 1359-1362页

作者： Christian Froschel wolfgang Droge-Laser Pharmaceutical Biology Julius-von-Sachs-InstituteJulius-Maximilians-Universitat WurzburgJulius-von-Sachs Platz 297082 WurzburgGermany Present address:Botany ll Julius-von-Sachs-lnstituteJulius-Maximilians-Universitat WurzburgJulius-von-Sachs Platz 397082 WurzburgGermany

The origin of multicellularity is considered an evolutionary milestone,as cellular differentiation and cooperation have allowed the emergence of specialized and unique *** crucial biological processes involve only a few cells,making it difficult to detect specific transcriptional signatures in classical bulk tissue *** information often remains hidden in the sum of thousands of cells,and thus localized studies are *** plant responses to microbes are well known to occur highly localized(Emonet et al.,2021),approaches to describe their impact at a cellular level have been established only very *** single-cell transcriptomics,Verbon et al.,2023 addressed this topic and disclosed heterogeneous responses of root cells when colonized by the beneficial bacterium Pseudomonas *** on Arabidopsis,we here compare this study with some groundbreaking methodological advances and provides perspectives on upcoming endeavors(Figure 1).

关键词： Figure insight specialized