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Acta Mathematica Scientia 2015年第6期35卷 1401-1410页

作者： Jasbir Singh MANHAS Ruhan ZHAO department of mathematics and statistics College of Science Sultan Qaboos University department of mathematics State University of New York Brockport

We obtain several estimates of the essential norms of the products of differen- tiation operators and weighted composition operators between weighted Banach spaces of analytic functions with general weights. As applications, we also give estimates of the es- sential norms of weighted composition operators between weighted Banach space of analytic functions and Bloch-type spaces.

关键词： differentiation operators weighted composition operators weighted Banachspace of analytic functions Bloch-type spaces essential norms

Effect of dry-wet cycles on dynamic properties and microstructures of sandstone:Experiments and modelling

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International Journal of Mining Science and Technology 2024年第5期34卷 655-679页

作者： Hai Pu Qingyu Yi Andrey P.Jivkov Zhengfu Bian Weiqiang Chen Jiangyu Wu state Key Laboratory of Intelligent Construction and Healthy Operation and Maintenance of Deep Earth Engineering China University of Mining and TechnologyXuzhou 221116China Key Laboratory of Xinjiang Coal Resources Green Mining Ministry of EducationXinjiang Institute of EngineeringUrumqi 830023China department of Solids and Structures School of EngineeringUniversity of ManchesterManchester M139PLUK School of Environment Science and Spatial Informatics China University of Mining and TechnologyXuzhou 221116China department of Civil and Environmental Engineering Rice UniversityHouston 77005USA state Key Laboratory of High Performance Civil Engineering Materials Jiangsu Research Institute of Building Science Co.Ltd.Nanjing 210008China department of Materials University of OxfordOxford OX13PHUK

Underground pumped storage power plant(UPSP)is an innovative concept for space recycling of abandoned *** realization requires better understanding of the dynamic performance and durability of reservoir *** paper conducted ultrasonic detection,split Hopkinson pressure bar(SHPB)impact,mercury intrusion porosimetry(MIP),and backscatter electron observation(BSE)tests to investigate the dynamical behaviour and microstructure of sandstone with cyclical dry-wet damage.A coupling FEM-DEM model was constructed for reappearing mesoscopic structure *** results show that dry-wet cycles decrease the dynamic compressive strength(DCS)with a maximum reduction of 39.40%,the elastic limit strength is reduced from 41.75 to 25.62 *** sieved fragments obtain the highest crack growth rate during the 23rd dry-wet cycle with a predictable life of 25 cycles for each rock *** pore fractal features of the macropores and micro-meso pores show great differences between the early and late cycles,which verifies the computational statistics analysis of particle *** numerical results show that the failure patterns are governed by the strain in pre-peak stage and the shear cracks are *** dry-wet cycles reduce the energy transfer efficiency and lead to the discretization of force chain and crack fields.

关键词： Underground pumped storage power plant Dry-wet cycles Split Hopkinson pressure bar Macro and micro properties FEM-DEM coupling model Damage characterization

WAVELET-BASED ESTIMATORS OF MEAN REGRESSION FUNCTION WITH LONG MEMORY DATA

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Applied mathematics and Mechanics(English Edition) 2006年第7期27卷 901-910页

作者：李林元肖益民 department of mathematics and statistics university of New Hampshire 03824 USA department of statistics and Probability Michigan state university 48824 USA

This paper provides an asymptotic expansion for the mean integrated squared error （MISE） of nonlinear wavelet-based mean regression function estimators with long memory data. This MISE expansion, when the underlying mean regression function is only piecewise smooth, is the same as analogous expansion for the kernel ***, for the kernel estimators, this MISE expansion generally fails if the additional smoothness assumption is absent.

关键词： nonlinear wavelet-based estimator nonparametric regression long-range dependence

Efficient Water-Saving Irrigation,Space Efficiency and Agricultural Development——Study Based on Spatial Stochastic Frontier Model

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Journal of Systems Science & Complexity 2023年第6期36卷 2559-2579页

作者： HAN Aihua HUANG Jian WANG Xin ZHU Zhengyuan statistics and mathematics School Zhongnan University of Economics and LawWuhan430073China department of Environmental Science and Engineering Fudan UniversityShanghai200433China department of mathematics and statistics San Diego State UniversitySan DiegoCAUSA department of statistics Iowa State UniversityAmesUSA

Xinjiang's agriculture is a typical irrigated agriculture for its agriculture water consumption accounts for 96%of the total water *** a typical resource-deficient area,the key to Xinjiang's agricultural development is saving *** paper takes the high-efficient water-saving irrigation technology of 41 regions along the Tarim River from 2002 to 2013 as the research object,adopts spatial stochastic frontier model to measure the space efficiency of high-efficient water-saving irrigation technology,and analyzes the effect of water-saving irrigation technology on agricultural *** show that the water-saving irrigation technology has a spatial effect,if neglecting it,the error of missing variables will occur,and the average loss will be 6.98 percentage *** spatial correlation effect promotes the improvement of the efficiency of water-saving irrigation *** spatial heterogeneity leads to the spatial imbalance of the efficiency of water-saving irrigation *** promotion of agricultural water-saving irrigation technology can increase production and the efficiency of agricultural *** to the technical heterogeneity of different types of water-saving irrigation technology,the contribution to the development of agriculture is also *** study finds that water-saving irrigation technology of drip irrigation in the Tarim River contributes more to agricultural development.

关键词： Spatial stochastic frontier model Tarim river basin water-saving irrigation

Grammian and Pfaffian solutions as well as Pfaffianization for a (3+1)-dimensional generalized shallow water equation

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Chinese Physics B 2012年第7期21卷 85-91页

作者：唐亚宁马文秀徐伟 department of Applied mathematics Northwestern Polytechnical University department of mathematics and statistics University of South Florida

Based on the Grammian and Pfaffian derivative formulae, Grammian and Pfaffian solutions are obtained for a （3＋1）-dimensional generalized shallow water equation in the Hirota bilinear form. Moreover, a Pfaffian extension is made for the equation by means of the Pfaffianization procedure, the Wronski-type and Gramm-type Pfaffian solutions of the resulting coupled system are presented.

关键词： Hirota bilinear form Grammian and Pfaffian solutions Wronski-type and Gramm-typePfaffian solutions

On hypothesis testing with a partitioned random alternative

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Science China mathematics 2010年第4期53卷 927-938页

作者： WANG WeiZhen department of mathematics and statistics,Wright state university,Dayton,OH 45435,USA department of mathematics and statistics Wright State University Dayton USA

It is common in statistical practice that one needs to make a choice among m + 1 mutually exclusive claims on *** m=1,it is done by the (traditional) hypothesis *** this paper,a generalization to the case m > 1 is *** fundamental difference with the case m=1 is that the new alternative hypothesis is a partition of m multiple claims and is *** is used to decide which claim in the partition is to be tested as the ***,a random alternative is *** conditional and overall type I errors of the proposed test are controlled at a given level,and this test can be used as a new solution for the general multiple test *** classical problems,including the one-sample problem,model selection in multiple linear regression,and multi-factor analysis,are revisited,and new tests are provided ***,the famous two-sided t-test should be replaced by the proposed.

关键词： analysis of variance conditional probability multiple linear regression one-sample problem

The prolactin receptor(PRLR)gene is linked to and associated with the comorbidity of depression and type 2 diabetes in Italian families

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Genes & Diseases 2024年第3期11卷 15-17页

作者： Mutaz Amin Rongling Wu Teodor T.Postolache Claudia Gragnoli INSERM US14-OrphanetParis 75014France university of Paris Paris 75013France department of Biochemistryand Molecular Biology Faculty of MedicineAl-Neelain UniversityKhartoum 11121Sudan department of Public Health Sciences Penn State College of MedicineHersheyPA 17033USA department of statistics Penn State College of MedicineHersheyPA 17033USA Mood and Anxiety Program Department of PsychiatryUniversity of Maryland School of MedicineBaltimoreMD 21201USA Rocky Mountain Mental Illness Research Education and Clinical Center(MIRECC) Veterans Integrated Service Network(VISN)19Military and Veteran Microbiome:Consortium for Research and Education(MVM-CoRE)DenverCO80246USA Mental illness Research Education and Clinical Center(MIRECC) Veterans Integrated Service Network(VISN)5VA Capitol Health Care NetworkBaltimoreMD 21090USA Division of Endocrinology Department of MedicineCreighton University School of MedicineOmahaNE 68124USA Molecular Biology Laboratory Bios Biotech Multi-Diagnostic Health CenterRome 00197Italy

Major depressive disorder(MDD)and type 2 diabetes(T2D)are two common complex multifactorial disorders that share several genetic and environmental risk factors such as hypercortisolism and related genes'riskvariants within the stress response and the neuroendocrine hypothalamicpituitary *** stress,the pituitary gland releases prolactin(PRL),whose effects are pleiotropic and include mood control and insulin secretion from the beta cells.1 Variations in the prolactin receptor(PRLR)gene are associated in rodent models with stress level,depressionlike behavior,2 and hepatic insulin sensitivity3 and in humans with maternal glucose homeostasis and gestational diabetes.

关键词： diabetes prolactin pituitary

On Exact Controllability of Networks of Nonlinear Elastic Strings in 3-Dimensional Space

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Chinese Annals of mathematics,Series B 2012年第1期33卷 33-60页

作者： Gnter R.LEUGERING *** SCHMIDT department of mathematics Friedrich-Alexander University department of mathematics and statistics McGill University

This paper concerns a system of nonlinear wave equations describing the vibra- tions of a 3-dimensional network of elastic strings. The authors derive the equations and appropriate nodal conditions, determine equilibrium solutions, and, by using the methods of quasilinear hyperbolic systems, prove that for tree networks the natural initial, boundary value problem has classical solutions existing in neighborhoods of the ＂stretched＂ equilibrium solutions. Then the local controllability of such networks near such equilib- rium configurations in a certain specified time interval is proved. Finally, it is proved that, given two different equilibrium states satisfying certain conditions, it is possible to control the network from states in a small enough neighborhood of one equilibrium to any state in a suitable neighborhood of the second equilibrium over a sufficiently large time interval.

关键词： Nonlinear strings Network Quasilinear system of hyperbolic equations Controllability

DEPENDENCE ANALYSIS OF REGRESSION MODELS IN TIME SERIES

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Journal of Systems Science & Complexity 2012年第6期25卷 1136-1142页

作者： Xuanhe WANG Maochao XU Shengwang MENG department of Science Shenyang University of Chemical Technology School of statistics Renmin University of China department of mathematics Illinois State University Center for Applied statistics Renmin University of China

In this paper, the relative dependence of a linear regression model is studied. In particular, the dependence of autoregressive models in time series are investigated. It is shown that for the first-order non-stationary autoregressive model and the random walk with trend and drift model, the dependence between two states decreases with lag. Some numerical examples are presented as well.

关键词： Positive regression dependence regression model time series.

statistics and dynamics of coherent structures in compressible wall-bounded turbulence

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Science China(Physics,Mechanics & Astronomy) 2024年

作者： Ming Yu SiWei Dong XianXu Yuan ChunXiao Xu state Key Laboratory of Aerodynamics Key Laboratory of Applied Mechanics Institute of Fluid Mechanics Department of Engineering Mechanics Tsinghua University

Compressible wall-bounded turbulence is ubiquitously encountered in modern aerospace and mechanical industries. In this review, we summarize the current state of the literature on the flow physics of compressible wall-bounded turbulence with simple flow geometry and boundary constraints, focusing on the statistics and dynamics of coherent structures, the seemingly organized flow patterns hidden amidst the nonlinear chaotic random processes. We summarize the conclusions brought by recent year studies regarding the influences of the Mach number and wall temperature on the velocity streaks, quasi-streamwise vortices and dilatational motions in the near-wall region, and the large-scale and very-large-scale motions in the outer region, from both statistical and dynamical point of view, with the primary concern of the similarities with and disparities from those in incompressible flows.

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