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Characterizations and Extensions of Lipschitz-α Operators

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Acta Mathematica Sinica,English Series 2006年第3期22卷 671-678页

作者： Huai xin CAO Jian Hua ZHANG Zong ben XU College of Mathematics and Information Science Shaanxi Normal University Faculty of Science Xi'an Jiaotong University

In this work, we prove that a map F from a compact metric space K into a Banach space X over F is a Lipschitz-α operator if and only if for each σ in X^＊ the map σoF is a Lipschitz-α function on K. In the case that K = [a, b], we show that a map f from [a, b] into X is a Lipschitz-1 operator if and only if it is absolutely continuous and the map σ→ （σ o f）＇ is a bounded linear operator from X^＊ into L^∞（[a, b]）. When K is a compact subset of a finite interval （a, b） and 0 〈 α ≤ 1, we show that every Lipschitz-α operator f from K into X can be extended as a Lipschitz-α operator F from [a, b] into X with Lα（f） ≤ Lα（F） ≤ 3^1-α Lα（f）. A similar extension theorem for a little Lipschitz-α operator is also obtained.

关键词： Characterization Extension Lipschitz-α operator

Self-healing hyperbranched polytriazoles prepared by metal-free click polymerization of propiolate and azide monomers

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Science China Chemistry 2016年第12期59卷 1554-1560页

作者： xin Wang Rongrong Hu Zujin Zhao Anjun Qin ben Zhong Tang Guangdong Innovative Research Team State Key Laboratory of Luminescent Materials and Devices South China University of Technology Department of Chemistry Hong Kong Branch of National Engineering Research Center for Tissue Restoration & ReconstructionThe Hong Kong University of Science & Technology Clear Water Bay

The last decade has witnessed the quick develop of self-healing materials. As a newborn strategy, the alternative of irreversible covalent bond formation is, however, to be further developed. In this paper, self-healing hyperbranched poly(aroxycarbonyltriazole)based on such mechanism were prepared by our developed metal-free click polymerization of simplified dipropiolate and triazide. Thanks to their excellent processability and film-forming ability, high quality homogeneous films free from defects were obtained by casting. The cut films could be healed by stacking or pressing the halves together at room temperature and elevated temperature. Thus, this design concept for self-healing materials should be generally applicable to other hyperbranched polymers with reactive groups on their peripheries.

关键词： self-healing hyperbranched polytriazole metal-free click polymerization film

Phenomenological study of the anisotropic quark matter in the two-flavor Nambu–Jona–Lasinio model

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Nuclear Science and Techniques 2022年第11期33卷 170-190页

作者： He-Xia Zhang Yu-xin Xiao Jin-Wen Kang ben-Wei Zhang Key Laboratory of Quark and Lepton Physics(MOE)and Institute of Particle Physics Central China Normal UniversityWuhan 430079China Guangdong Provincial Key Laboratory of Nuclear Science Institute of Quantum MatterSouth China Normal UniversityGuangzhou 510006China

With the two-flavor Nambu–Jona–Lasinio (NJL) model, we carried out a phenomenological study on the chiral phase structure, mesonic properties, and transport properties of momentum-space anisotropic quark matter. To calculate the transport coefficients we utilized the kinetic theory in the relaxation time approximation, where the momentum anisotropy is embedded in the estimation of both the distribution function and relaxation time. It was shown that an increase in the anisotropy parameterξmay result in a catalysis of chiral symmetry breaking. The critical endpoint(CEP) is shifted to lower temperatures and larger quark chemical potentials asξincreases, and the impact of momentum anisotropy on the CEP temperature is almost the same as that on the quark chemical potential of the CEP. The meson masses and the associated decay widths also exhibit a significant ξ dependence. It was observed that the temperature behavior of the scaled shear viscosity η/T~3 and scaled electrical conductivity σ/T exhibited a similar dip structure, with the minima of both η/T~3 and σ/T shifting toward higher temperatures with increasing ξ. Furthermore,we demonstrated that the Seebeck coefficient S decreases when the temperature rises and its sign is positive, indicating that the dominant carriers for converting the temperature gradient to the electric field are up-quarks. The Seebeck coefficient S is significantly enhanced with a largeξfor a temperature below the critical temperature.

关键词： Heavy-ion collision Momentum anisotropy NJL model Chiral phase transition Transport coefficient Quark matter

HFD-exacerbated Metabolic Side Effects of Olanzapine Are Suppressed by ER Stress Inhibitor

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Current Medical Science 2023年第6期43卷 1116-1132页

作者： Yu-feng ZUO Bao-hua ZHANG ming-rui GUO ben-ben LI Bao-cui WANG Deng DUAN Yu-xin WANG Jing XI Meng HE Tao-lei SUN School of Chemistry Chemical Engineering and Life SciencesWuhan University of TechnologyWuhan430070China The National Clinical Research Center for Mental Disorders&Beijing Key Laboratory of Mental Disorders Beijing Anding Hospital&the Advanced Innovation Center for Human Brain ProtectionCapital Medical UniversityBeijing100069China Hubei Key Laboratory of Nanomedicine for Neurodegenerative Diseases School of ChemistryChemical Engineering and Life ScienceWuhan University of TechnologyWuhan430070China

Objective Numerous schizophrenic patients are suffering from obesity primarily attributed to antipsychotic medication and poor dietary *** study investigated the progressive deterioration of olanzapine-induced metabolic disorders in the presence of a high-fat diet(HFD)and explored the involvement of endoplasmic reticulum(ER)*** Female Sprague-Dawley rats fed on a standard chow diet or HFD were treated with olanzapine(3 mg/kg/day)and the ER stress inhibitor 4-phenylbutyric acid(4-PBA,1 and 0.5 g/kg/day)for 8 *** in body weight,food intake,and plasma lipids were *** fat accumulation was evaluated using oil red O *** blotting and immunofluorescence assays were employed to examine the expression of ER stress markers,NOD-like receptor pyrin domain-containing protein 3(NLRP3),and proopiomelanocortin(POMC)in the hypothalamus or *** Compared to olanzapine alone,olanzapine+HFD induced greater weight gain,increased hyperlipidemia,and enhanced hepatic fat accumulation(P<0.05).Co-treatment with 4-PBA exhibited a dose-dependent inhibition of these effects(P<0.05).Further mechanistic investigations revealed that olanzapine alone activated ER stress,upregulated NLRP3 expression in the hypothalamus and liver,and downregulated hypothalamic POMC *** HFD exacerbated these effects by 50%–100%.Moreover,co-administration of 4-PBA dose-dependently attenuated the olanzapine+HFD-induced alterations in ER stress,NLRP3,and POMC expression in the hypothalamus and liver(P<0.05).Conclusion HFD worsened olanzapine-induced weight gain and lipid metabolic disorders,possibly through ER stress-POMC and ER stress-NLRP3 *** stress inhibitors could be effective in preventing olanzapine+HFD-induced metabolic disorders.

关键词： olanzapine high-fat diet obesity lipid metabolism endoplasmic reticulum stress proopiomelanocortin NOD-like receptor pyrin domain-containing protein 3

Nb和V微合金化对时效态轻质钢组织和性能的影响

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上海金属 2024年第5期46卷 9-16,26页

作者：李悦程奔王青峰高欣江阴南工锻造有限公司江苏江阴214400 燕山大学亚稳材料制备技术与科学国家重点实验室河北秦皇岛066004

设计了Fe-31Mn-10Al-1.1C和Fe-31Mn-10Al-1.1C-0.1Nb-0.1V(质量分数,%)两种成分的轻质钢,对其热轧态钢板进行了1100℃×1 h水冷的固溶处理,随后于500~600℃时效0.5~25 h后空冷。利用显微硬度计、X射线衍射仪、光学显微镜、扫描电子显微... 详细信息

设计了Fe-31Mn-10Al-1.1C和Fe-31Mn-10Al-1.1C-0.1Nb-0.1V(质量分数,%)两种成分的轻质钢,对其热轧态钢板进行了1100℃×1 h水冷的固溶处理,随后于500~600℃时效0.5~25 h后空冷。利用显微硬度计、X射线衍射仪、光学显微镜、扫描电子显微镜/X射线能谱仪、透射电子显微镜和拉伸试验机,研究了Nb和V微合金化对时效态轻质钢组织和性能的影响。结果表明:Nb和V的加入在一定程度上抑制了κ-碳化物和硬脆相β-Mn的析出,在相同时效工艺条件下,钢的断后伸长率最高可提升16%。加入Nb和V改善钢的塑性的机制主要有以下两方面:一是Nb和V与C原子易结合形成(Nb,V)C析出,使κ-碳化物析出量减少;二是晶间κ-碳化物析出被抑制,从而间接抑制了β-Mn相的析出。

关键词：微合金化轻质钢时效微观组织力学性能

Addition Reaction of Bis(diphenylphosphinyl) Butadiyne with Methylcyclopentadiene

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Chinese Journal of Structural Chemistry 2007年第8期26卷 939-944页

作者： YU Li-Zhi XU Ke-xin MENG Ji-ben HUANG Yao-Dong Department of Pharmaceutical Engineering School of Chemical Engineering and Technology Tianjin University Tianjin 300072 China Department of Chemistry Nankai University Tianjin 300071 China

Bis（diphenylphosphinyl）butadiyne reacted with methylcyclopentadiene at room temperature and four isomeric products were obtained. Crystal structures of isomers 1 and 3 have been determined. Crystal data for compound 1 C40H36O2P2·2CHCl3： monoclinic, space group C12/c1 with a = 17.983（2）, b = 11.8723（12）, c = 20.081（2） A, β = 111.218（3）°, V= 3996.5（8） A^3, Z = 4, Mr= 849.36, Dc = 1.412 g/cm^3, F（000） = 1752,μ = 0.546 mm^-1, the final R = 0.0351 and wR = 0.0951 for 3965 observed reflections （I 〉 2σ（I））; and those for compound 3 C40H36O2P2·H2O： triclinic, space group PI with a = 10.4144（15）, b = 13.0558（18）, c = 13.742（2） A, a = 70.453（8）, β = 75.382（8）, γ = 72.312（8）°, V = 1653.7（4） A^3, Z = 2, Mr= 628.64, Dc = 1.262 g/cm^3, F（000） = 664,μ = 0.169 mm^-1, the final R = 0.0593 and wR = 0.1296 for 4891 observed reflections （I 〉 2σ（I））. The structures of the other two isomers are identified via IR, ^1H NMR and MS spectra.

关键词： addition reaction crystal structure inclusion hydrogen bonding

Value of the controlling nutritional status score and psoas muscle thickness per height in predicting prognosis in liver transplantation

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World Journal of Clinical Cases 2021年第35期9卷 10871-10883页

作者： xing Dai ben Gao xin-xin Zhang Jiang Li Wen-Tao Jiang Department of Liver Transplant The First Central College of Tianjin Medical UniversityTianjin 300110China Department of Endocrinology Tianjin Medical University Chu Hsien-I Memorial HospitalTianjin 300134China Department of Liver Transplant Tianjin First Central HospitalTianjin 300110China

BACKGROUND Patients with end-stage liver disease usually have varying degrees of malnutrition,and severe malnutrition may affect the prognosis of patients after liver transplantation(LT).However,there is no recommended standard for the nutrition assessment of patients waiting for LT,and it is unknown whether malnutrition has an impact on the occurrence of postoperative *** The study aim was to investigate the value of the controlling nutritional status(CONUT)score and psoas muscle thickness per height(PMTH)in predicting prognosis in *** We retrospectively analyzed the clinical data of 313 patients who underwent classic orthotopic LT from January 2016 to December 2018 in Tianjin First Central Hospital affiliated with Tianjin Medical *** CONUT score is derived from the preoperative serum albumin and total cholesterol levels,and total lymphocyte *** were divided into low(≤4),medium(5–8),and high(9–12)CONUT score groups perioperative characteristics,Clavien-Dindo grade III/IV/V postoperative complications,graft loss and infection,and cumulative postoperative survival in the three groups were compared 3 mo after *** was calculated as the ratio of the transverse thickness of the psoas muscle in the umbilical plane to the height of the *** cutoff values of receiver operating characteristic curves were determined separately for men and *** values were 14.1 cm/m2 for women and 17.9 cm/m2 for *** patients were then divided into low and high PMTH groups by the cutoff *** comparison of data between the two groups was the same as *** Patients with medium and high CONUT scores had lower preoperative serum hemoglobin,more intraoperative red blood cell(RBC)transfusions,longer postoperative intensive care unit stay and hospital stays,higher 7 and 14 preoperative-day serum bilirubin levels,and a higher incidence of postoperative grade III/IV complications and infections than patients with low CONUT scor

关键词： Liver transplantation Controlling nutritional status score Psoas muscle thickness per height Nutrition assessment Complications Prognosis

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洛宁县文玩核桃产业发展现状及对策

北方果树 2024年第3期 53-55页

作者：贺超锋宋本超马奔腾王甲韦宇新国有洛宁县全宝山林场河南洛宁471700 洛宁县林业生态建设发展服务中心河南洛宁471700 洛宁县长水镇乡村建设办公室河南洛宁471700

作者结合洛宁县文玩核桃种植、产品加工、营销等环节,对文玩核桃发展现状、制约因素、有利条件进行分析,探讨文玩核桃产业化经营之路,提出相应的发展对策,以期为文玩核桃产业的健康发展提供参考。

关键词：洛宁县文玩核桃产业现状对策

Study of tip vortex cavitation inception and vortex singing

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Journal of Hydrodynamics 2019年第6期31卷 1170-1177页

作者： Xiao-xing Peng Ling-xin Zhang ben-long Wang Liang-hao Xu ming-tai Song Yan-tao Cao Yu-wen Liu Fang-wen Hong Kai Yan National Key Laboratory on Ship Vibration and Noise China Ship Scientific Research CenterWuxi 214082China Department of Mechanics Zhejiang UniversityHangzhou 310027China Department of Engineering Mechanics Shanghai Jiao Tong UniversityShanghai 200240China

Tip vortex cavitation(TVC)is an important cavitation phenomenon in marine *** formation and evolution of tip vortex cavitation are hot topics consistently both in engineering application and mechanism *** this paper some recent studies on tip vortex cavitation inception and the noise of tip vortex cavitation evolution are *** effects of both flow field and water qualities on tip vortex cavitation inception are considered by experiments and numerical *** results show that besides the average minimum pressure in the vortex core the turbulence fluctuation and water qualities including air content and nuclei distribution have great influence on tip vortex cavitation *** on the idea of first nucleus cavitating in tip vortex core new prediction formula for tip vortex cavitation inception is *** synchronous technique of high speed video observation and noise measurement are adopted to study the development of tip vortex cavitation.S-type total noise characteristics are obtained when cavitation number from low to *** singing is found in the case where the tip vortex cavitation just before leaves the tip *** excited mechanism of vortex singing is proposed by analyzing the wave propagation on the interface of vortex cavity.

关键词： Tip vortex cavitation flow field water quality cavitation inception noise