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Normality and Quasinormality of Zero-free Meromorphic Functions

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Acta Mathematica Sinica,English Series 2012年第4期28卷 707-716页

作者： Jian Ming chang changshu Institute of Technology Department of Mathematics

Let k, K ∈1N and F be a family of zero-free meromorphic functions in a domain d such that for each f ∈ F, f（k） - 1 has at most K zeros, ignoring multiplicity. Then F is quasinormal of order at most v=k/k＋1,where v is equal to the largest integer not exceeding k/k＋*** particular, if K = k, then F is normal. The results are sharp.

关键词： Meromorphic functions normal family

A Vanishing Result for donaldson Thomas Invariants of P^1 Scroll

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Acta Mathematica Sinica,English Series 2014年第12期30卷 2079-2084页

作者： Huai Liang chang department of Mathematics Hong Kong University of Science and Technology

Let S be a smooth algebraic surface and let L be a line bundle on *** there is a holomorphic two form over S with zero loci to be a curve *** show that the donaldsonThomas invariant of the P^1 scroll X = P（L＋Бs） vanishes unless the curves being enumerated lie in d = P（L︱C＋БC）.Our method is cosection localization of Y.-*** and ***.

关键词： Cosection dT invariants two form

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在Pythagoras三角形中三等分角

数学译林 2018年第4期37卷 379-383,328页

作者： Wen d.chang Russell A.Gordon 陆柱家(译) 李福安(校) 不详

假设a^2+b^2=c^2,这里a,b和c是互素的正整数,并考虑以口,b和c为边的直角三角形T.我们证明,用圆规和无刻度直尺可以三等分T的两个锐角当且仅当c是一个完全立方数.

关键词：直角三角形三等分角正整数立方数互素锐角直尺

Cluster Structures in 2-Calabi-Yau Triangulated Categories of dynkin Type with Maximal Rigid Objects

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Acta Mathematica Sinica,English Series 2017年第12期33卷 1693-1704页

作者： Hui Min chang department of Mathematical Sciences Tsinghua University Beijing 100084 P. R. China department of Applied Mathematics School of Education The Open University of China Beijing 100039 Po R. China

In this paper, we consider two kinds of 2-Calabi-Yau triangulated categories with finitely many indecomposable objects up to isomorphisms, called An,t =d^b（KA（2t＋1）（n＋1）-3）/τ^t（n＋1）-1[1], where n,t ≥ 1, and dn,t = db（Kd2t（n＋1））/τ^（n＋1）φ^n, where n,t ≥ 1, and φ is induced by an automorphism of d2t（n＋1） of order 2. Except the categories An,1, they all contain non-zero maximal rigid objects which are not cluster tilting. An,1 contain cluster tilting objects. We define the cluster complex of An,t （resp. dn,t） by using the geometric description of cluster categories of type A （resp. type d）. We show that there is an isomorphism from the cluster complex of An,t （resp. dn,t） to the cluster complex of root system of type Bn. In particular, the maximal rigid objects are isomorphic to clusters. This yields a result proved recently by Buan-Palu-Reiten： Let RAn,t, resp. Rdn,t, be the full subcategory of An,t, resp. dn,t, generated by the rigid objects. Then RAn,t≈RAn,1 and Tdn,t≈TAn,1 as additive categories, for all t 〉 1.

关键词： 2-Calabi-Yau triangulated category cluster structure cluster complex

Biodegradable elastomeric circuit boards from citric acid-based polyesters

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npj Flexible Electronics 2023年第1期7卷 307-320页

作者： Brendan L.Turner Jack Twiddy Michael d.Wilkins Srivatsan Ramesh Katie M.Kilgour Eleo domingos olivia Nasrallah Stefano Menegatti Michael A.daniele Joint department of Biomedical Engineering North Carolina State University and University of North CarolinaChapel Hill911 Oval Dr.RaleighNC 27695USA department of Electrical&Computer Engineering North Carolina State University890 Oval Dr.RaleighNC 27695USA department of Chemical and Biomolecular Engineering North Carolina State University911 Partners WayRaleighNC 27695USA Biomanufacturing Training and Education Center(BTEC) North Carolina State University850 Oval DrRaleighNC 27606USA

Recyclable and biodegradable microelectronics,i.e.,“green”electronics,are emerging as a viable solution to the global challenge of electronic ***,flexible circuit boards represent a prime target for materials development and increasing the utility of green electronics in biomedical *** board substrates and packaging are good dielectrics,mechanically and thermally robust,and are compatible with microfabrication ***(octamethylene maleate(anhydride)citrate)(POMaC)–a citric acid-based elastomer with tunable degradation and mechanical properties–presents a promising alternative for circuit board substrates and ***,we report the characterization of Elastomeric Circuit Boards(ECBs).Synthesis and processing conditions were optimized to achieve desired degradation and mechanical properties for production of stretchable *** traces were characterized and exhibited sheet resistance of 0.599Ωcm^(−2),crosstalk distance ofd exhibited stable 0%strain resistances after 1000 strain cycles to 20%.Fabrication of single layer and encapsulated ECBs was demonstrated.

关键词： polyester resistance strain

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Journal of Electronic Science and Technology 2021年第1期19卷 1-5页

作者： Zi-Wei Wang Chi-chang chang Quan Zou The Institute of Fundamental and Frontier Sciences University of Electronic Science and Technology of ChinaChengdu 610054 the School of Medical Informatics Chung Shan Medical UniversityTaichuang 40201 Medical University Hospital Taichung 40201

The outbreak of coronavirus disease 2019(COVId-2019)has drawn public attention all over the *** a newly emerging area,single cell sequencing also exerts its power in the battle over the *** this review,the up-to-date knowledge of COVId-19 and its receptor is summarized,followed by a collection of the mining of single cell transcriptome profiling data for the information in aspects of the vulnerable cell types in humans and the potential mechanisms of the disease.

关键词： Coronavirus disease 2019(COVId-19) bioinformatics data mining single cell sequencing

A Nearly 20-Year Journey to Success of Azvudine for Antiviral Therapy

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Chinese Journal of Chemistry 2023年第23期41卷 3349-3357页

作者： Bin Yu Junbiao chang College of Chemistry & School of Pharmaceutical Sciences Zhengzhou UniversityZhengzhouHenan450001 China Pingyuan Laboratory State Key Laboratory of Antiviral DrugsHenan Normal UniversityXinxiangHenan453007 China

Modified nucleosides,particularly those with 4'-modifications,are significant nucleosides used in antiviral *** drug discovery campaign of Azvudine starts from 2′-deoxynucleoside,followed by extensive modifications,such as introducing the 4’-position substitutions,a 2’-β-fluoro atom,and.changing the *** acts potently toward various HIV-1 strains by inhibiting HIV-1 reverse transcription and preventing Vif-induced A3G degradation,representing the first-in-class dual-acting antiviral *** July 2021,the NMPA conditionally approved Azvudine as an adjunct therapy for adult patients with high levels of HIV-1 virus load when combined with NRTIs or *** is capable of inhibiting SARS-CoV-2,as well as its variants,including Alpha,Beta,delta,and *** trials have revealed its real-world effectiveness among hospitalized severely or critically ill COVId-19 patients or those with pre-existing *** July 25th,2022,the NMPA granted conditional authorization approving Azvudine as China's first domestic oral anti-COVId-19 ***,Azvudine at therapeutic doses is safe and well-tolerated in clinical *** got approval from the National Health Commission and National Administration of Traditional Chinese Medicine on August 9th to be used in the"diagnosis and Treatment Program for Novel Coronavirus Pneumonia(Ninth Edition)"for treating common COVId-19 adult *** August 12th,2022,it was also approved by the National Healthcare Security Administration to be added to the list of medical *** note,the achievements related to Azvudine were indexed in the China Basic Research development Report in Thirty-Five of *** was also approved on January 5th,2023,to be used in the"diagnosis and Treatment Program for Novel Coronavirus Pneumonia(Tenth Edition)"for treating COVId-19 *** February 2023,the Ministry of Health of the Russian Federation approved the usage of Azvudine among ind

关键词： Nucleosides Azvudine HIV COVId-19 Antiviral agents Infectious diseases drug discovery

Spatiotemporal variation of drought characteristics in the Huang- Huai-Hai Plain, China under the climate change scenario

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Journal of Integrative Agriculture 2017年第10期16卷 2308-2322页

作者： LI Xiang-xiang JU Hui Sarah Garré YAN chang-rong William d.Batchelor LIU Qin Key Laboratory of dryland Agriculture Ministry of Agriculture/Institute of Environment and Sustainable Development in Agriculture Chinese Academy of Agricultural Sciences Beijing 100081 P.R. China Agro-meteorological Center of Jiangxi Province Nanchang 330096 P.R. China department of Biosystems Engineering University of Liege Gembloux Agro-Bio Tech Gembloux 5030 Belgium Biosystems Engineering department Auburn University AL 36849 USA

Understanding the potential drought characteristics under climate change is essential to reduce vulnerability and establish adaptation strategies, especially in the Huang-Huai-Hai Plain （3H Plain）, which is a major grain production area in China. In this paper, we investigated the variations in drought characteristics （drought event frequency, duration, severity, and intensity） for the past 50 years （1961-2010） and under future scenarios （2010-2099）, based on the observed meteorological data and the Representative Concentration Pathway （RCP） 8.5 scenario, respectively. First, we compared the applicability of three climatic drought indices： the standardized precipitation index （SPI）, the standardized precipitation evapotranspiration index based on the Penman-Monteith equation （SPEI-PM） and the same index based on the Thornthwaite equation （SPEI-TH） to correlate the recorded agricultural drought areas. Then, we analyzed the drought characteristics using ＇run theory＇ for both historical and the future RCP 8.5 scenario based on the best performing index. Correlation analyses between drought indices and agricultural drought areas showed that SPEI-PM performed better than SPI and SPEI-TH in the 3H Plain. Based on the results of SPEI-PM, drought risks including duration, severity and intensity during 1961-2010 showed an decreasing trend. However, under the RCP 8.5 scenario, drought is expected to rise in frequency, duration, severity, and intensity from 2010-2099, although drought components during the 2010-2039 are predicted to be milder compared with historical conditions. This study highlights that the estimations for atmospheric evaporative demand would create differences in the prediction of long-term drought trends by different drought indices. The results of this study can help inform researchers and local policy makers to establish drought management strategies.

关键词： climate change drought index drought characteristics Huang-Huai-Hai Plain

Adsorption of β-naphthalenesulfonic acid/sulfuric acid from their solution by weakly basic resin:equilibrium

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Journal of Environmental Sciences 2005年第4期17卷 646-649页

作者： chang-hai SHIPeng-fei departmentofChemicalEngineering ChangchunUniversityofTechnologyChangchun130012China departmentofAppliedChemistry HarbinInstituteofTechnologyHarbin150001China

Experiments for single and bisolute competitive adsorption were carried out to investigate the adsorption behavior of β-naphthalenesulfonic acid(NSA) and sulfuric acid (H_2SO_4) from their solution at 25℃ onto weakly basic resin d301R. Adsorption affinity of sulfuric acid on d301R was found to be much higher than that of NSA. The data of single-solute adsorption were fitted to the Langmuir model and the Freundlich adsorption model. The ideal adsorbed solution theory(IAST) coupled with the single-solute adsorption models were used to predict the bisolute competitive adsorption equilibria. The IAST coupled with the Langmuir and the Freundlich model for sulfuric acid and NSA, respectively, yields the favorable representation of the bisolute competitive adsorption behavior.

关键词： β-naphthalenesulfonic acid adsorption weakly basic resin