IMPROVED GAGLIARDO-NIRENBERG INEQUALITIES ON HEISENBERG TYPE GROUPS

Motivated by the idea of M. Ledoux who brings out the connection between Sobolev embeddings and heat kernel bounds, we prove an analogous result for Kohn’s sub-Laplacian on the Heisenberg type groups. The main result includes features of an inequality of either Sobolev or Galiardo-Nirenberg type.

LOCAL ESTIMATE ABOUT SCHRODINGER MAXIMAL OPERATOR ON H-TYPE GROUPS

Let △ be full Laplacian on H-type group G. Then for every compact set D Ga local estimate of the Schrodinger maximal operator holds, that is,∫D^sup0〈t〈1｜e^it△f（x）｜^2dx≤｜｜f｜｜^2H^s,s〉1/2We also show that the above inequality fails when s 〈 1/4.

HEAT KERNELS AND HARDY'S UNCERTAINTY PRINCIPLE ON H-TYPE GROUPS

This article obtains an explicit expression of the heat kernels on H-type groups and then follow the estimate of heat kernels to deduce the Hardy＇s uncertainty principle on the nilpotent Lie groups.

Blood group type antigens in pancreatic intraductal papillary mucinous neoplasms

BACKGROUND: There are few data on blood group(BG) types and types of pancreatic cancers. The aims of this study were to study BG types and BG-antigens in pancreatic intraductal papillary mucinous neoplasms(IPMNs). METHODS: BG type and tumor BG-antigen(glycoprotein) expression(studied by immunohistochemistry on tissue microarrays) were analyzed with regard to characteristics of 101 surgically resected pancreatic IPMNs. RESULTS: Non-O BG type predicted invasive carcinoma independently from high serum CA19-9 and male gender. BG type A was observed more frequently in women than in men. Chronic pancreatitis was more frequently seen in patients with BG type B or AB. Aberrant tumor expression(with regard to BG type) of loss of A antigen expression type occurred in 15.0% of IPMNs and of loss of B antigen expression type in 62.5% of IPMNs. Intraneoplasm BG-antigen expression was not related to dysplasia grade or invasion. CONCLUSION: The results of the study suggest that in pancreatic IPMN, non-O BG type predicted invasive carcinoma, whereas for intratumor BG-antigen expression no specific patterns were detected with regard to the progression of glandular epithelial dysplasia or invasion.

The Features of Sedimentary Facies and Copper Enrichment Metallogenic Regularities of Kuzigongsu Group in Sareke Glutenite Type Copper Deposits,Wuqia,Xinjiang

1 Introduction Sareke glutenite-type copper deposit is the large size copper deposit discovered in recent years,and it is located Sarekebayi intracontinental pull-apart basin in the western margin of the Tarim basin.Conglomerate of

Semi-classical analysis on H-type groups Dedicated to Professor Jean-Yves Chemin on the Occasion of His 60th Birthday

In this paper, we develop semi-classical analysis on H-type groups. We define semi-classical pseudodifferential operators, prove the boundedness of their action on square integrable functions and develop a symbolic calculus. Then, we define the semi-classical measures of bounded families of square integrable functions which consist of a pair formed by a measure defined on the product of the group and its unitary dual, and by a field of trace class positive operators acting on the Hilbert spaces of the representations. We illustrate the theory by analyzing examples, which show in particular that this semi-classical analysis takes into account the finite-dimensional representations of the group, even though they are negligible with respect to the Plancherel measure.

Blood groups, hemoglobin phenotypes and clinical disorders of consanguineous Yansi population

AIM:To study frequency of blood groups,prevalence of sickle-cell anemia trait and glucose-6-phosphate dehydrogenase deficiency(G6PD),among consanguineous Yansi tribe.METHODS:A total of 525 blood samples were collected,of which 256 among the Yansi population,and269 for the unrelated control group in the Bandunduprovince of Democratic Republic of Congo.Blood group antigens were determined in the following systems:ABO,Rh,Kell,Duffy,Kidd and MNS.Blood grouping and extended phenotype tests were performed according to standard immunohematological procedures.Spot tests and tandem mass spectrometry were used respectively for the assessment of G6PD and sickle-cell anemia trait.RESULTS:The frequency of ABO phenotypes conformed to the following order O>A>B>AB with notably 62.5%,23.8%,12.1%and 1.6%for the Yansi,and 54.6%,27.5%,14.1%and 3.7%for the unrelated control group,respectively(P=0.19).As for the Rh phenotypes,the most frequent were cc D.ee,cc D.Ee,Cc D.ee,corresponding to 71.5%,12.1%and 12.1%for the Yansi,and 70.6%,15.6%and 8.2%,for the unrelated control group(P=0.27).The frequency of MN and Ss phenotypes were statistically different between groups(P=0.0021 and P=0.0006).G6PD was observed in 11.3%of subjects in the Yansi group,and in 12.4%of controls(P=0.74).The sickle-cell anemia trait was present in 22.4%of Yansi subjects and 17.8%in the control group(P=0.24).Miscarriages and deaths in young age were more common among Yansi people.CONCLUSION:This study shows a significant difference in MNS blood group distribution between the Yansi tribe and a control population.The distribution of other blood groups and the prevalence of hemoglobinopathies did not differ in the Yansi tribe.

Correlation between movement of tectonicblocks and earthquakes in groups

The Chinese mainland is divided into some tectonic blocks by nearly NE- and EW-orientated faults. Meanwhile strong earthquakes in the Chinese mainland usually cluster in time and space. We call earthquakes in groups. Tectonic blocks separated by faults and earthquakes in groups are prominent features of the tectonics of the Chi-nese mainland. Correlation between movement of tectonic blocks and groups of earthquakes is discussed in this paper. The results show that earthquakes in groups often occurred at one or several block boundary faults. The released elastic strain energy is built up in the same periods and around blocks. It means that strong earthquakes in groups are mainly caused by movement of blocks. Four types of block movement are identified based ongroup earthquakes: movement along a single boundary of a block (or a combined blocks), movement of a single block, movement of multi-blocks, and movement in block interiors. If we consider distribution of all strong earthquakes occurred in the Chinese mainland, the movement along a single boundary of a block is more popular one inducing strong earthquakes. But if we only consider earthquakes in groups rather than single earthquakesthe movement of a block dominates among four modes. Statistics with respect to group earthquakes show that the Taihangshan mountain and the North China block are much active in the eastern part of Chinese mainland, and in western part of Chinese mainland the active blocks are Sichuan-Yunnan and the Kunlun-Songpan ones.

产生抗D的DVI type 3型孕妇免疫血清学和RHD基因型分析

目的:对部分D表型孕妇进行免疫血清学和RHD基因型分析。方法:采用常规血型血清学方法鉴定孕妇RhD血型,并进行血型特异性抗体筛查和鉴定;采用序列特异性引物聚合酶链反应(polymerase chain reactionsequence specific primer,PCR-SSP)鉴定孕妇RHD基因型;采用多重连接依赖的探针扩增技术(multiplex ligationdependent probe amplification,MLPA)对孕妇及其配偶和女儿的RhD血型抗原进行基因分型及遗传分析。结果:该孕妇血清中检测出IgG抗-D,其抗体效价为1∶8。PCR-SSP结果显示,该孕妇RHD基因第3-6外显子缺失,经鉴定该孕妇RHD基因型为DVI type 3型。MLPA分析显示,该孕妇只有1条RHD等位基因,且缺失3-6外显子,其基因型为CDVIe/cde,其配偶为CDe/CDe纯合子基因型,女儿为CDe/CDVIe基因型。结论:准确的RhD血型鉴定对制定安全有效的临床输血策略和对育龄妇女采取恰当措施及预防新生儿溶血病具有重要意义。

A Paleoproterozoic A-type Rhyolite

The rhyolites in the upper Lüliang Group of Shanxi, China, are Paleoproterozoic weakly alkaline volcanic rocks. They are characterized by high SiO\-2, Na\-2O+K\-2O, Zr, Nb, Ga, Y and REE contents and large FeO\+*/MgO, Rb/Sr and Ga/Al ratios, and low CaO, Sr and Eu contents, and share much in common with the A type granitic rocks. They erupted in the rift setting at the continental margin. Chemical features and isotope data, as well as high Nd and low initial Sr ratios, suggest that the original granitic magma was derived from partial melting of Late Archean metamorphic rocks in the lower crust due to the influence of basaltic magma and hot fluid in response to rifting. The A type rhyolites were finally formed after the fractional crystallization of the dominant mineral feldspar.

Innovative Group-Decoupling Design of a Segment Erector Based on G_F Set Theory

The segment erector is a key part of the shield machines for tunnel engineering. The available segment erectors are all of serial configuration which is suffering from the problems of low rigidity and accumulative motion errors. The current research mainly focuses on improving assembly accuracy and control performance of serial segment erectors. An innovative design method is proposed featuring motion group-decoupling, based on which a new type of segment erector is developed and investigated. Firstly, the segment installation manipulation is analyzed and decomposed into three motion groups that are decoupled. Then the type synthesis for the 4-DOF motion group is performed based on the general function（GF） set theory and a new configuration of （1T？1R？1PS3UPS） is attained according to the segment manipulation requirements. Consequently, the kinematic models are built and the reducibility and accuracy are analyzed. The dexterity is verified though numerical simulation and no singular points appear in the workspace. Finally, a positioning experiment is carried out by using the prototype developed in the lab that demonstrates a 13.1% improvement of positioning accuracy and the feasibility of the new segment erector. The presented group-decoupling design method is able to invent new type of hybrid segment erectors that avoid the accumulative motion error of erecting.

Flu Epidemics Force versus Virus Type in USA

We estimate the influenza force according to the virus type in the USA (United States of America) for the season 2010/11 to 2019/20. For these we use the data available from CDC (Centers for Disease Control and Prevention) related to Public Health Laboratory Virologic Age Surveillance and The Burden Estimates presented by CDC yearly.

Bounding Topology via Geometry,A-Simple Fundamental Groups

We call a group A-simple,if it has no non-trivial normal abelian subgroup.We will present finiteness results in controlled topology via geometry on manifolds whose fundamental groups are A-simple.

慢性心力衰竭患者血清HMGB1水平变化及其与病情和预后的关系

目的观察慢性心力衰竭(CHF)患者血清高迁移率族蛋白B1(HMGB1)水平变化,探讨其与患者病情严重程度及预后的关系。方法选取CHF患者200例作为CHF组,同期健康体检者20例为对照组。采用ELISA法检测血清HMGB1水平;根据美国纽约心脏病学会(NYHA)的心功能分级方法,将CHF患者按病情严重程度分级;随访24个月,记录患者出院后发生恶性心律失常、心源性死亡和全因死亡等重大不良心血管事件(MACE)的情况。采用受试者工作特征(ROC)曲线及曲线下面积(AUC)分析血清HMGB1对CHF患者预后不良的预测价值;Kaplan-Meier生存曲线分析血清HMGB1高表达和低表达患者的预后差异。结果CHF组血清HMGB1水平高于对照组(P<0.05)。200例CHF患者中NYHA心功能分级Ⅱ级41例、Ⅲ级99例、Ⅳ级60例;CHF患者血清N末端B型利钠肽前体(NT-proBNP)、HMGB1水平均随NYHA心功能分级的提升而升高(P均<0.05)。随访24个月,200例CHF患者中发生MACE 65例、未发生MACE 135例;发生MACE的CHF患者血清NT-ProBNP、HMGB1水平均高于未发生MACE的患者(P均<0.05)。ROC曲线分析结果显示,血清HMGB1、血清NT-ProBNP预测CHF患者发生MACE的AUC分别为0.752、0.772,两者联合预测CHF患者发生MACE的AUC为0.863。Kaplan-Merier生存曲线分析结果显示,血清HMGB1高、低水平的CHF患者预后不良发生率分别为67.50%、35.50%,HMGB1高水平者预后不良发生率高于HMGB1低水平者(P<0.05)。结论CHF患者血清HMGB1水平升高,且与患者的病情严重程度有关,其与血清NT-ProBNP联合检测有助于提高预测患者预后的准确性。

Novel Globular Magnetic Actuator Group Capable of Free Movement in a Complex Pipe

Finding damage inside pipes is important for the inspection of complex pipes used in nuclear power plants and chemical plants. A number of studies have investigated the mechanisms of an actuator with an electric cable to provide locomotion through various devices in complex pipes. An in-pipe robot capable of movement in narrow complex pipes has not yet been developed. In the present paper, we propose a globular magnetic actuator group that exhibits a very high thrust force and is capable of free reversible motion in complex pipes. Two actuators of the same size and characteristics are coupled by the magnetic connection method, which generates almost no mechanical loss. The globular magnetic actuator group capable of reversible motion through elongation and contraction of eight shape-memory-alloy (SMA) coils was fabricated. Experimental results indicate that the prototype actuator group is able to climb at a rate of 29 mm/s in a straight pipe while pulling a load mass of 48 g. In addition, the average speeds for two patterns of movement in a complex pipe with several curved sections and step sections were measured. The prototype actuator group is able to move in a complex pipe at an average speed of over 30 mm/s. This actuator group has several possible applications, including inspection using a micro-camera and pipe maintenance.

Comparative Analysis of Group Sequential Designs Tests for Randomized Controlled Clinical Trials: A Model Study on Two-Sided Tests for Comparing Two Treatments

Clinical trials are usually long term studies and it seems impossible to reach all required subjects at the same time. Performing interim analyses and monitoring results may provide early termination of trial after obtaining significant results. The aim of this study is comparing group sequential tests in respect to advantage of sample size reduction and early termination. In this study, 4 test types used in group sequential designs were compared with fixed sample size design test and each other. Comparisons were done according to two-sided tests for comparing two treatments. In this sense, 1080 models were performed. In models, 2 different Type I errors, 2 different powers, 5 different analysis groups, 6 different effect sizes and 9 different variances selections were considered. All test types increased the maximum sample size in different manner, compared with fixed sample size design. Each test had different critical values to reject H0 hypothesis, at the same type I error rate and number of analyses conditions. Selection of test type used in group sequential designs depends on a few characteristics, as reducing sample size, early termination and detecting minimal effect size. Test performance is highly related with selected Type I error rate, power and number of analyses. In addition to these statistical characteristics, researchers should decide test type with respect to other trial conditions as the issue of trial, reaching subjects easy or not and importance of early termination.

G-type dispersion equation under suppressed rigid boundary:analytic approach

This paper studies dispersion of a G-type earthquake wave under the influence of a suppressed rigid boundary. Inside the Earth, the density and rigidity of the crustal layer and the mantle of the Earth vary exponentially and periodically along the depth. The displacements of the wave are found in the individual medium followed by a dispersion equation using a suitable analytic approach and a boundary condition. The prominent effect of inhomogeneity contained in the media, the rigid boundary plane, and the initial stress on the phase and group velocities is shown graphically.

Energy-Efficient MTC Data Offloading in Wireless Networks Based on K-Means Grouping Technique

Machine-type communication (MTC) devices provide a broad range of data collection especially on the massive data generated environments such as urban, industrials and event-enabled areas. In dense deployments, the data collected at the closest locations between the MTC devices are spatially correlated. In this paper, we propose a k-means grouping technique to combine all MTC devices based on spatially correlated. The MTC devices collect the data on the event-based area and then transmit to the centralized aggregator for processing and computing. With the limitation of computational resources at the centralized aggregator, some grouped MTC devices data offloaded to the nearby base station collocated with the mobile edge-computing server. As a sensing capability adopted on MTC devices, we use a power exponential function model to compute a correlation coefficient existing between the MTC devices. Based on this framework, we compare the energy consumption when all data processed locally at centralized aggregator or offloaded at mobile edge computing server with optimal solution obtained by the brute force method. Then, the simulation results revealed that the proposed k-means grouping technique reduce the energy consumption at centralized aggregator while satisfying the required completion time.

Index-<i>p</i>Abelianization Data of <i>p</i>-Class Tower Groups

Given a fixed prime number p, the multiplet of abelian type invariants of the p-class groups of all unramified cyclic degree p extensions of a number field K is called its IPAD (index-p abeliani- zation data). These invariants have proved to be a valuable information for determining the Galois group of the second Hilbert p-class field and the p-capitulation type of K. For p=3 and a number field K with elementary p-class group of rank two, all possible IPADs are given in the complete form of several infinite sequences. Iterated IPADs of second order are used to identify the group of the maximal unramified pro-p extension of K.

教育家型乡村教师的价值定位、群体特质及培育路径

在全面推进教育强国建设、民族复兴伟业的新征程中,培育教育家型乡村教师旨在追求以人才培养支撑教育强国建设、以特色资源赋能乡村教育振兴、以榜样典范助力乡村教师发展的三重价值。基于教育家精神的时代内涵和乡村教师的特殊职能,教育家型乡村教师需要在价值立场、精神境界和实践智慧三个维度体现六种群体特质,即理想信念、使命担当、高尚师德、乡贤品格、教育智慧、践行能力。为此,教育家型乡村教师的培育可从统筹安排保障性培育制度、协同打造立体式培育体系、精心设计定制化培育内容和显著提升内生型培育效能四个方面搭建路径。