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EXPONENTIAL CONVERGENCE OF SAMPLE AVERAGE APPROXIMATION METHODS FOR A CLASS OF STOCHASTIC MATHEMATICAL PROGRAMS WITH COMPLEMENTARITY CONSTRAINTS

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Journal of Computational Mathematics 2006年第6期24卷 733-748页

作者： Fan-wen Meng Hui-fu Xu The Logistics Institute - Asia Pacific National University of Singapore 1 Law Link Singapore School of Mathematics University of Southampton Highfield Southampton S017 1B J UK School of Mathematics University of Southampton Highfield Southampton S017 1B J UK

In this paper, we propose a Sample Average Approximation （SAA） method for a class of Stochastic Mathematical Programs with Complementarity Constraints （SMPCC） recently considered by Birbil, G/irkan and Listes [3]. We study the statistical properties of obtained SAA estimators. In particular we show that under moderate conditions a sequence of weak stationary points of SAA programs converge to a weak stationary point of the true problem with probability approaching one at exponential rate as the sample size tends to infinity. To implement the SAA method more efficiently, we incorporate the method with some techniques such as Scholtes＇ regularization method and the well known smoothing NCP method. Some preliminary numerical results are reported.

关键词： Stochastic mathematical programs with complementarity constraints Sampleaverage approximation Weak stationary points Exponential convergence.

[Solid-phase extraction coupled with high performance liquid chromatography-triple quadrupole mass spectrometry for simultaneous determination of seven coumarins in water samples from drinking water treatment plants]

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Se pu = Chinese journal of chromatography 2025年第1期43卷 78-86页

作者： wen-Mei Jiao Jing-Ming yang Ce Xu fu-Kang Gao Lu-yao Shen Yu-Bo Yuan Zhi-Fen Guo Guang Huang School of Life Sciences and Chemical Engineering Jiangsu Second Normal University Nanjing 211200 China. School of Stomatology Nanjing Medical University Nanjing 210029 China. School of Public Health Nanjing Medical University Nanjing 211166 China. Key Laboratory of Modern Toxicology Ministry of Education School of Public Health Nanjing Medical University Nanjing 211166 China.

Chlorinated coumarins, which are as cytotoxic as highly toxic halobenzoquinones toward CHO-K1 cells, have recently been identified as disinfection byproducts in drinking water disinfection processes. Therefore, detecting coumarins in water samples collected at various stages from drinking water treatment plants helps assess the formation of chlorinated coumarins in drinking water. Hence, a simple, rapid, accurate, and sensitive method for quantifying coumarins in water samples is required. In this study, a method was developed based on solid-phase extraction coupled with high performance liquid chromatography-triple-quadrupole mass spectrometry for analyzing seven coumarins in water samples from drinking water treatment plants, including 6,7-dihydroxycoumarin, 7-hydroxycoumarin, 6-hydroxy-4-methylcoumarin, 8-chloro-7-hydroxycoumarin, coumarin, 7-chloro-6-hydroxy-4-methylcoumarin, and 3,8-dichloro-7-hydroxycoumarin. Sample pretreatment involved solid-phase extraction using HLB columns, followed by elution with water and methanol, each containing 0.25% formic acid. The extracted solution was separated via gradient elution using a Phenomenex Luna C18 column (100 mm×2.0 mm, 3 mm) with 0.1% formic acid aqueous solution and methanol as the mobile phases, with analytes detected by triple-quadrupole mass spectrometry equipped with electrospray ionization source in multiple reaction monitoring mode. The matrix effect, precision, and accuracy of the developed method were investigated using raw and treated water as matrices. Matrix effects of 0.84-1.12 were recorded for the detection of 6,7-dihydroxycoumarin, 7-hydroxycoumarin, 6-hydroxy-4-methylcoumarin, and coumarin in raw water, while values of 0.67-0.70 were recorded for 8-chloro-7-hydroxycoumarin, 7-chloro-6-hydroxy-4-methylcoumarin, and 3,8-dichloro-7-hydroxycoumarin in finished water. The three chlorinated coumarins exhibited matrix effects above 0.80 after the finished water matrix had been diluted four times. These re

关键词： coumarins disinfection byproducts drinking water high performance liquid chromatography-tandem mass spectrometry (HPLC-MS/MS) solid-phase extraction (SPE)

Evolution of inclusions in a pipeline steel during continuous casting and hot rolling process

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Journal of Iron and Steel Research International 2022年第1期29卷 175-185页

作者： Yi Wang Wei-fu Li wen yang School of Metallurgical and Ecological Engineering University of Science and Technology BeijingBeijing 100083China

Industrial trials were performed to study the evolution of inclusions in a pipeline steel during the continuous casting and hot rolling *** main composition of inclusions changed from Al_(2)O_(3)-CaO in the liquid steel to Al_(2)O_(3)-CaO-CaS in the slab,and then to Al_(2)O_(3)-CaS in the rolled *** area fractions of inclusions increased from 47.0×10^(-6) to 76.7×10^(-6),and to 144.3×10^(-6).It was explained by thermodynamic calculations that the thermodynamic equilibrium between inclusions and the steel varied with the *** contents of Al,Ca,Mg,S,and O in the steel decreased during the solidification and cooling *** to the difference in the cooling rate,the transformation ratio of CaS increased from 61% at the slab surface to 95% in the slab *** was also affected by the size of inclusions as smaller inclusions provided better kinetic *** diameters of inclusions for the composition transformation were *** the hot rolling process,the average aspect ratio of inclusions increased from 1.4 in the slab to 2.8 in the rolled *** the hot rolling process,a part of inclusions was crushed into small particles of CaS phase and Al_(2)O_(3)-CaO-MgO cores,leading to a decrease in CaS content of inclusions.

关键词： Inclusion Pipeline steel Continuous casting Hot rolling Deformation

Application of intraoperative ultrasound in liver surgery

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Hepatobiliary & Pancreatic Diseases International 2021年第5期20卷 501-502页

作者： ya-Wei Xu Hong fu Department of Hepatobiliary Surgery Shaoxing People’s HospitalShaoxing Hospital of Zhejiang UniversityShaoxing 312000China

With the development of color Doppler and laparoscopic ultrasound, now intraoperative ultrasound(IOUS) plays an important role in liver surgery. Compared to percutaneous ultrasound(US), IOUS is conducted directly on the liver surface, with no blind spots or dead ends, thus improves the detection, localization and characterization of lesions without influencing factors, such as obesity.

关键词： surgery liver intraoperative

Availability analysis of private cloud safety computer platform based on the Markov process

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Transportation Safety and Environment 2024年第1期6卷 103-108页

作者： Limin fu Jiakun wen Southwest Jiaotong University The School of Information Science&TechnologyChengduSichuan 610097China CRSC Research&Design Institute Group Co. LtdBeijing 100070China

To ensure the correctness of train control system design and development,the ways of simulation,test and formalization were *** to the safe critical attribute of train control system,the characters related to system safety were propounded such as real time,hybrid,distribution(concurrence)and reactivity,and the specific formal methods associated with every character were introduced in *** analysis and classification of the methods were done based on their mathematical basis and applications,and their advantages and disadvantages were *** result indicates that every method has determinate limitations,which is determined by the essences of model checking and theory *** is pointed out that the presentation of new method,the expansion of existing methods and the integration of many methods will be the development trend of formalization in train control system.

关键词： safety computer Markov process cloud computing availability analysis

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辽朝详稳渊源新论

古代文明（中英文） 2025年第1期19卷 117-127,M0006,M0007页

作者：田富吉林大学历史文化学院吉林长春130012

以往学界多认为辽朝详稳源于突厥语“sangun”,为将军之意。本文通过考证详稳与相温、相公、将军等概念的异同,认为辽朝详稳一词源自汉语“相”,“稳”是指契丹语语法中修饰“详”字的附加成分。辽朝详稳官职来源于突厥、回鹘、吐蕃等... 详细信息

以往学界多认为辽朝详稳源于突厥语“sangun”,为将军之意。本文通过考证详稳与相温、相公、将军等概念的异同,认为辽朝详稳一词源自汉语“相”,“稳”是指契丹语语法中修饰“详”字的附加成分。辽朝详稳官职来源于突厥、回鹘、吐蕃等边疆民族之“相”制,又在“会同改制”过程中脱离其原义,遂成为一种特殊的部族官职。

关键词：辽朝详稳相相温国相

Effect of C-Tetramethyl Calix[4]resorcinarene Acrylate on Curing Behavior and Film Properties of Thiol-acrylate Coating System

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Chemical Research in Chinese Universities 2009年第5期25卷 760-766页

作者： fu Qi SHI wen-fang Joint Laboratory of Polymer Thin Films and Solution Department of Polymer Science and Engineering University of Science and Technology of China Hefei 230026 P. R. China

An octa-functional acrylate of C-tetramethyl calix[4]resorcinarene（CMC-4-RA） was facilely synthesized and characterized with ^1H NMR, ^13C NMR and FTIR spectroscopy. The CMC-4-RA was added to a thiol-acrylate system with different mass ratios, and exposed to a middle pressure mercury lamp. The maximum photopolymerization rate and final vinyl group conversion in the cured film increased greatly along with CMC-4-RA addition that was monitored with Photo-DSC. The tensile strength and pendulum hardness were improved significantly after the addition of CMC-4-RA. With increasing the content of CMC-4-RA to 60%（mass fraction）, the glass transition temperature increased from 34.2 ℃ to 84.1 ℃; the cross-link density was calculated to be increased from 23.83 mmol/cm^3 to 82.40 mmol/cm^3 according to dynamic mechanical thermal analysis; the thermostability was greatly improved.

关键词： Calixresorcinarene Acrylate UV curing Film

Association between cadherin-17 expression and pathological characteristics of gastric cancer:A meta-analysis

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World Journal of Gastroenterology 2015年第12期21卷 3694-3705页

作者： Zi-wen Long Meng-Long Zhou Jing-Wei fu Xian-Qun Chu ya-Nong Wang Department of Gastric Cancer and Soft-tissue Sarcoma Surgery Fudan University Shanghai Cancer Center Department of Oncology Shanghai Medical College Fudan University

AIM: To construct a meta-analysis in order to examine the relationship between cadherin-17(CDH17) andgastric cancer(GC). METHODS: Related articles were selected by searching the following English or Chinese electronic databases: CINAHL, MEDLINE, Science Citation Index, the Chinese Journal full-Text, and the Weipu Journal. NewcastleOttawa Scale(NOS) criteria were used to ensure consistency in reviewing and reporting results. Statistical analyses were conducted with Version 12.0 STATA statistical ***: Ultimately, 11 articles, with a total of 2,120 GC patients, were found to be eligible for study inclusion. In comparisons of GC patients by TNM stage(Ⅲ-Ⅳ vs ?Ⅰ-Ⅱ: OR = 2.35, 95%CI: 1.15-4.825, P = 0.019), histologic grade(3-4 vs 1-2: OR = 3.48, 95%CI: 1.36-8.92, P = 0.009), invasion grade(T3-4 vs T1-2: OR = 2.86; 95%CI: 1.69-4.83; P = 0.000), and lymph node metastasis(positive vs negative: OR = 2.64; 95%CI: 1.33-5.27; P = 0.006), it was found that CDH17 showed more positive expressions in each of the more severe cases. Country-stratified analyses from all four experimental subgroups showed that high CDH17 expression levels may be related to GC among Chinese and Korean populations(all P < 0.05), with the exception of the invasion grade T3-4 vs T1-2 comparison, where the relation only held among the Chinese population(OR = 2.86, 95%CI: 1.69-4.83, P = 0.000). CONCLUSION: Collectively, the data reflects the capacity of CDH17 in tumor proliferation and metastasis among GC patients.

关键词： Cadherin 17 Protein expression Gastric cancer Meta

Analgesic effect of ultrasound-guided bilateral transversus abdominis plane block in laparoscopic gastric cancer

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World Journal of Gastrointestinal Surgery 2023年第10期15卷 2171-2178页

作者： ya-ya Wang Hua-Jun fu Department of Anesthesiology Shaanxi Provincial People’s HospitalXi'an 710068Shaanxi ProvinceChina

BACKGROUND Postoperative complications are important factors affecting the survival time and quality of life of patients undergoing radical *** To investigate and compare the anesthetic effects of intravenous general anesthesia combined with epidural anesthesia or ultrasound-guided bilateral transversus abdominal plane block(TAPB)in gastric cancer patients undergoing laparoscopic radical *** The clinical data of 85 patients who underwent laparoscopic radical gastrectomy in our hospital from December 2020 to January 2023 were retrospectively collected and divided into a TAPB group(n=45)and epidural anesthesia group(n=40)according to the different anesthesia and analgesia programs *** TAPB group received general anesthesia combined with TAPB,and the epidural anesthesia group received general anesthesia combined with epidural *** pain status,cognitive status,intestinal barrier indicators,recovery quality,and incidence of complications were compared between the two *** Compared with the epidural anesthesia group,the TAPB group’s visual analog scale scores were significantly lower 6 h,12 h,24 h and 48 h after surgery(Pfunction(POCD)in the TAPB group was significantly lower than that in the epidural anesthesia group,and the Mini-mental State Examination score 24 h after surgery was significantly higher in the TAPB group than the epidural anesthesia group(P<0.05).The levels of diamine oxidase and plasma D-lactate were significantly lower in the TAPB group than the epidural anesthesia group 24 h after surgery(P<0.05).The agitation score and the incidence of agitation during recovery were significantly lower in the TAPB group than epidural anesthesia group(P<0.05).The total incidence of postoperative complications in the TAPB group was 4.44%,significantly lower than the 20.00%in the epidural anesthesia group(P<0.05).CONCLUSION Compared with epidural anesthesia combined w

关键词： Laparoscopic radical gastrectomy Ultrasound-guided bilateral transversus abdominal plane block Cognitive impairment Intestinal barrier function