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Differential Calculus on Compact Quantum Group U_θ(2) and its Applications

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Acta Mathematica Sinica,English Series 2010年第3期26卷 533-554页

作者： xiao xia zhang Department of Mathematics Yantai University Yantai 264005 P. R. China

In this paper, via constructing special matrices, we will show that there exists a differential calculus on Uθ（2）, where θ is an irrational number. Then using the above results, we shall discuss the properties of infinitesimal generators of corepresentations of Uθ（2）. And in the final, we shall discuss its irreducible corepresentations and give the Peter-Weyl theorem explicitly for compact quantum group Uθ（2）.

关键词： compact quantum group differential calculus Lie algebra irreducible corepresentation

Takesaki-Takai Duality Theorem in Hilbert C^＊-Modules

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Acta Mathematica Sinica,English Series 2004年第6期20卷 1079-1088页

作者： Mao Zheng GUO xiao xia zhang LMAM Department of Mathematics Peking University Department of Mathematics Yantai University

In this paper,we generalize the Takesaki-Takai duality theorem in Hilbert C~*-modules; that is to say,if (H,V,U) is a Kac-system,where H is a Hilbert space,V is a multiplicative unitary operator on H(?)H and U is a unitary operator on H,and if E is an (?)-compatible Hilbert (?)-module, then E×(?)×(?)K(H),where K(H) is the set of all compact operators on H,and (?) and (?) are Hopf C~*-algebras corresponding to the Kac-system (H,V,U).

关键词： Coaction Crossed product Multiplicative unitary operator Hilbert C~*-module

Relationship between lipids and sleep apnea: Mendelian randomization analysis

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World Journal of Clinical Cases 2022年第31期10卷 11403-11410页

作者： Lian-Peng zhang xiao-xia zhang Department of Respiratory Medicine Qingzhou Hospital Affiliated to Shandong First Medical UniversityQingzhou People's HospitalQingzhou 262500Shandong ProvinceChina Department of AIDS Voluntary Counseling and Testing Qingzhou Center for Disease Control and PreventionQingzhou 262500Shandong ProvinceChina

BACKGROUND Lipids increase the risk of sleep apnea;however,the causality between them is still *** To explore the causal relationship between serum lipids and sleep apnea using two-sample Mendelian randomization(MR)*** Single nucleotide polymorphism(SNP)data related to serum lipids were obtained from the Global Lipids Genetics Consortium study,which included 188578 individuals of European ***,sleep apnea-related SNP data were collected from the United Kingdom Biobank study,which comprised 463005 individuals of European ***-sample MR analysis was performed to assess the causality between serum lipids and sleep apnea based on the above public *** Genetically predicted low-density lipoprotein(odds ratio[OR]=0.99,95%confidence interval[CI]=0.99 to 1.00;P=0.58),high-density lipoprotein(OR=0.99,95%CI=0.99 to 1.00;P=0.91),triglyceride(OR=1.00,95%CI=0.99 to 1.00;P=0.92),and total cholesterol(OR=0.99,95%CI=0.99 to 1.00;P=0.33)were causally unrelated to sleep *** Our MR analysis suggests that genetically predicted serum lipids are not risk factors of sleep apnea.

关键词： Lipid Sleep apnea Mendelian randomization Single nucleotide polymorphism Risk factor

Impact of simethicone on bowel cleansing during colonoscopy in Chinese patients

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World Journal of Clinical Cases 2021年第10期9卷 2238-2246页

作者： Hu zhang Jing Liu Song-Lin Ma Man-Lin Huang Yan Fan Min Song Jing Yang xiao-xia zhang Qi-Long Song Jing Gong Ping-xiao Huang Heng zhang Department of Gastroenterology The Central Hospital of WuhanTongji Medical CollegeHuazhong University of Science and TechnologyWuhan 430014Hubei ProvinceChina Department of Gastroenterology The Eighth Hospital of WuhanWuhan 430014Hubei ProvinceChina

BACKGROUND Four-liter polyethylene glycol(PEG)solutions are effective for bowel cleansing,but their large volume might hinder patient *** to the unique features of Asians,4 L PEG might be a suboptimal bowel preparation in predominantly ethnically Asian *** view of this,a balance should be achieved between the volume and *** ideal bowel cleansing regimen for a colonoscopy has yet to be determined in a Chinese *** To compare the cleansing efficacy of 3 L PEG plus simethicone with 4 L *** A total of 291 patients were randomly allocated to two groups:Group 1(n=145)received 4 L split-dose PEG(4-P);group 2(n=146)received 3 L split-dose PEG plus simethicone(3-PS).Bowel-cleansing efficacy was evaluated by endoscopists using the Boston bowel preparation scale(BBPS)and the bubbles *** Although there were no significant differences in the total BBPS score or the adequate rate of bowel preparation between the two groups,the BBPS score of the right-side colon was significantly higher in the 3-SP group(2.37±0.54 vs 2.21±0.78;P=0.04).Moreover,the use of simethicone significantly reduced bubbles in all colon segments(P<0.001).The mean withdrawal time was significantly shorter in the 3-PS group(8.8±3.4 vs 9.6±2.3;P=0.02).Furthermore,significantly more proximal adenomas were detected in the 3-PS group(53.6%vs 45.7%;P=0.03).In addition,the proportions of patients with nausea and bloating were significantly lower in the 3-SP group(P<0.01 for both).More patients in the 3-PS group expressed willingness to repeat the bowel preparation(87.7%vs 76.6%,P=0.01).CONCLUSION Three-liter PEG shows satisfactory bowel cleansing despite the decrease in dosage,and addition of simethicone with better bubble elimination and enhanced patient acceptance offers excellent potential impact on the detection of proximal adenomas in Chinese patients.

关键词： Polyethylene glycol Simethicone Colonoscopy Bowel preparation Cleansing efficacy

Individual with concurrent chest wall tuberculosis and triplenegative essential thrombocythemia:A case report

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World Journal of Clinical Cases 2023年第22期11卷 5365-5372页

作者： xiao-Yan Xu Yong-Bin Yang Jun Yuan xiao-xia zhang Lin Kang xiang-Shu Ma Jie Yang Department of Haematology Hebei General HospitalShijiazhuang 050051Hebei ProvinceChina Graduate School Hebei North UniversityZhangjiakou 075000Hebei ProvinceChina Department of Vascular Surgery Hebei General HospitalShijiazhuang 050051Hebei ProvinceChina Department of Pathology Hebei General HospitalShijiazhuang 050051Hebei ProvinceChina Clinical Laboratory Hebei General HospitalShijiazhuang 050051Hebei ProvinceChina

BACKGROUND Chest wall tuberculosis(TB)and triple-negative essential thrombocythemia(TNET)are rare medical conditions,and their combination is extremely rare *** one case of TB peritonitis with thrombocytosis has been reported,which was identified in *** SUMMARY Herein,we report the case of a 23-year-old man with concurrent chest wall mass and *** patient presented to a local hospital due to having a headache and low-grade fever for 2 d,with their bodily temperature fluctuating at around 36.8°*** analysis showed a high platelet count of 1503×109/***,the patient visited our hospital for further *** tomography of the chest suggested a submural soft tissue density shadow in the left lower chest *** surgical resection,the pathological findings of the swelling were reported as TB with massive caseous *** to the World Health Organization diagnostic criteria,the patient was diagnosed with TN-ET,as they met the requirement of four main criteria or the first three main criteria and one secondary *** patient was eventually diagnosed with chest wall TB with TN-ET,which is extremely *** Chest wall TB is ***-ET diagnosis requires secondary factor exclusion and satisfaction of primary diagnostic ***,combined with the methylation process,could explain suppressor of cytokine signaling(SOCS)1 and SOCS3 downregulation in ET-JAK2V617F-negative *** miRNA could participate in JAK2 pathway ***3 may be a novel MPN biomarker.

关键词： Platelet Thrombocythemia Triple-negative Chest wall tuberculosis SOCS3 gene JAK-STAT pathway Case report

Distribution and conservation of near threatened plants in China

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Plant Diversity 2023年第3期45卷 272-283页

作者： Qin Liu Tian-Tian Xue xiao-xia zhang Xu-Dong Yang Fei Qin Wen-Di zhang Lei Wu Rainer W.Bussmann Sheng-xiang Yu State Key Laboratory of Systematic and Evolutionary Botany Institute of BotanyChinese Academy of SciencesBeijing 100093China College of Forestry Central South University of Forestry and TechnologyChangsha 410004China College of Life Sciences University of Chinese Academy of SciencesBeijing 100049China Institute of Botany and Bakuriani Alpine Botanical Garden Ilia State UniversityBotanical Str.1Tbilisi 0105Georgia Department of Botany State Museum for Natural History KarlsruheErbprinzenstraße 13Karlsruhe 76133Germany

Plants classified as Near Threatened(NT) are at high risk of becoming threatened because of anthropogenic interference and climate *** in conservation efforts,such species have however long been ***,we obtained 98,419 precise occurrence points for 2442 NT plants in China,and used species richness,species complementarity,and weighted endemism that consider all,endemic and narrow-ranged species in order to identify the diversity hotspots of NT *** we evaluated the conservation effectiveness of current nature reserves for *** results indicate that the diversity hotspots of NT plants were mainly confined to southwestern and southern China,and only 35.87% of hotspots and 71.5% of species were protected by nature *** hotspots in southwestern China(e.g.,Sichuan,Yunnan,Guangxi,and Hainan) were identified as conservation *** that NT plants include large proportions of endemic and narrow-ranged species,they represent an important value in conservation ***,more conservation efforts in the future should be tilted towards NT ***,when comparing with the recently updated NT list,there are already 87 species raised to threatened categories,while 328 species were lowered to least concern,56 species were now categorized as data deficient,and 119 species considered as uncertain due to changes of scientific *** is essential to carry out a continuous assessment of species’ threatened categories to realize targeting conservation.

关键词： Conservation Distribution patterns Diversity hotspots Nature reserves Red list Near threatened species

Simultaneous quantification of five major active components in capsules of the traditional Chinese medicine 'Shu-Jin-Zhi-Tong' by high performance liquid chromatography

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Journal of Pharmaceutical Analysis 2011年第4期1卷 284-290页

作者： Xing-Xin Yang xiao-xia zhang Rui-Miao Chang Yan.Wei Wang xiao-Ni Li College of Pharmacy Shanxi Medical University 56 Xinjian South Road Taiyuan 030001 China

A simple and reliable high performance liquid chromatography （HPLC） method has been developed for the simultaneous quantification of five major bioactive components in ＇Shu-Jin- Zhi-Tong＇ capsules （SJZTC）, for the purposes of quality control of this commonly prescribed traditional Chinese medicine. Under the optimum conditions, excellent separation was achieved, and the assay was fully validated in terms of linearity, precision, repeatability, stability and accuracy. The validated method was applied successfully to the determination of the five compounds in SJZTC samples from different production batches. The HPLC method can be used as a valid analytical method to evaluate the intrinsic quality of SJZTC.

关键词： High performance liquidchromatography Quality control 'Shu-Jin-Zhi-Tong'capsules Traditional Chinesemedicine

Data processing and preliminary results of the Chang'e-3 VIS/NIR Imaging Spectrometer in-situ analysis

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Research in Astronomy and Astrophysics 2014年第12期14卷 1578-1594页

作者： Bin Liu Chun-Lai Li Guang-Liang zhang Rui Xu Jian-Jun Liu Xin Ren Xu Tan xiao-xia zhang Wei Zuo Wei-Bin Wen Key Laboratory of Lunar and Deep Space Exploration National Astronomical ObservatoriesChinese Academy of Sciences Key Laboratory of Space Active Opto-Electronics Technology Shanghai Institute of TechnicalPhysics Chinese Academy of Sciences

The Chang＇e-3 Visible and Near-infrared Imaging Spectrometer （VNIS） is one of the four payloads on the Yutu rover. After traversing the landing site during the first two lunar days, four different areas are detected, and Level 2A and 2B ra- diance data have been released to the scientific community. The released data have been processed by dark current subtraction, correction for the effect of temperature, radiometric calibration and geometric calibration. We emphasize approaches for re- flectance analysis and mineral identification for in-situ analysis with VNIS. Then the preliminary spectral and mineralogical results from the landing site are derived. After comparing spectral data from VNIS with data collected by the Ma instrument and samples of mare that were returned from the Apollo program, all the reflectance data have been found to have similar absorption features near 1000 nm except lunar sample 71061. In addition, there is also a weak absorption feature between 1750-2400nm on VNIS, but the slopes of VNIS and Ma reflectance at longer wavelengths are lower than data taken from samples of lunar mare. Spectral parameters such as Band Centers and Integrated Band Depth Ratios are used to analyze mineralogical features. The results show that detection points E and N205 are mixtures of high-Ca pyroxene and olivine, and the composition of olivineat point N205 is higher than that at point E, but the compositions of detection points S3 and N203 are mainly olivine-rich. Since there are no obvious absorption features near 1250 nm, plagioclase is not directly identified at the landing site.

关键词： Chang'e-3 -- VNIS -- in-situ analysis -- data processing

A new lunar absolute control point: established by images from the landing camera on Chang'e-3

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Research in Astronomy and Astrophysics 2014年第12期14卷 1543-1556页

作者： Fen-Fei Wang Jian-Jun Liu Chun-Lai Li Xin Ren Ling-Li Mu Wei Yan Wen-Rui Wang Jing-Tao xiao Xu Tan xiao-xia zhang xiao-Duan Zou Xing-Ye Gao Key Laboratory of Lunar and Deep Space Exploration National Astronomical ObservatoriesChinese Academy of Sciences

The establishment of a lunar control network is one of the core tasks in selenodesy, in which defining an absolute control point on the Moon is the most im- portant step. However, up to now, the number of absolute control points has been very sparse. These absolute control points have mainly been lunar laser ranging retrore- flectors, whose geographical location can be observed by observations on Earth and also identified in high resolution lunar satellite images. The Chang＇e-3 （CE-3） probe successfully landed on the Moon, and its geographical location has been monitored by an observing station on Earth. Since its positional accuracy is expected to reach the meter level, the CE-3 landing site can become a new high precision absolute control point. We use a sequence of images taken from the landing camera, as well as satellite images taken by CE-1 and CE-2, to identify the location of the CE-3 lander. With its geographical location known, the CE-3 landing site can be established as a new abso- lute control point, which will effectively expand the current area of the lunar absolute control network by 22%, and can greatly facilitate future research in the field of lunar surveying and mapping, as well as selenodesy.

关键词： Moon -- methods: data analysis -- techniques: image processing