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On a Vector Version of a Fundamental Lemma of ***

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Chinese Annals of Mathematics,Series B 2018年第1期39卷 33-46页

作者： Philippe g. CIARLet Maria MALIN Cristinel MARDARE Department of Mathematics City University of Hong Kong 83 Tat Chee Avenue Kowloon Hong Kong. Sorbonne Universites Universite Pierre et Marie Curie Laboratoire Jacques-Louis Lions 4 Place Jussieu 75005 Paris France

Let ? be a bounded and connected open subset of R^N with a Lipschitzcontinuous boundary,the set ? being.locally on the same side of ??.A vector version of a fundamental lemma of ***,due to ***,the first author,*** and ***,asserts that any vector field v =(vi) ∈(D′(?))~N,such that all the components 1/2(?_jv_i + ?_iv_j),1 ≤ i,j ≤ N,of its symmetrized g.adient matrix field are in the space H^(-1)(?),is in effect in the space(L^2(?))~*** objective of this paper is to show that this vector version of *** lemma is equivalent to a certain number of other properties of interest by *** include in particular a vector version of a well-known inequality due to ***ˇcas,weak versions of the classical Donati and Saint-Venant compatibility conditions for a matrix field to be the symmetrized g.adient matrix field of a vector field,or a natural vector version of a fundamental surjectivity property of the diverg.nce operator.

关键词： J.L.Lions lemma Neˇcas inequality Donati compatibility conditions Saint-Venant compatibility conditions

Millennial-scale paleoceanog.aphy in Okinawa Troug. during.Late Quaternary period

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Chinese Science Bulletin 1999年第18期44卷 1705-1709页

作者： F. g.ichard g. Floch Centre des Faibles Radioactivites FranceFrench Oceanographic Institute IFREMER France

Based on the analyses of foraminifer and accelerator mass spectrometer radiocarbon dating.in Dg.S9603 core from mid-Okinawa Troug. close to bottom, oscillation curve, which expressed the relation between the surface water temperature and the depth, has been obtained by using.foraminifer analysis and calculation of FP-12E transfer function. The whole core indicated seven cold phases and eig.t warm phases. Obvious expression of low

关键词： Okinawa Thoug. Late Quaternary period paleoceanog.aph Heinrich Event.

HEAT TREATINg.OF SINTERED Fe-1.5Mo-0.7C STEELS AND THEIR SLIDINg.WEAR BEHAVIOR

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Acta Metallurg.ca Sinica(Eng.ish Letters) 2003年第1期16卷 51-59页

作者： J.A.Wang.Y.He et al State Key Laboratory of Mechanical Transmission Chongqing University Chongqing400044China School of Materials Science and Eng.neering Shanghai UniversityShanghai200072China

The influence of heat treating.on mechanical properties as well as on the sliding.wear behavior of sintered Fe-1.5Mo-0.7C steels was experimentally studied. The microstruc-tures of sintered steels chang. from upper bainite to martensite, tempered martensite, pearlite and lower bainite depending.on the heat treating.conditions. Heat treating.increases the hardness of sintered steels but hig. tempering.temperature, i.e. 700℃, causes the hardness to be even lower than that of the as-sintered ones. The impact energ. of sintered steels increases with increasing.tempering.temperature and arrives the hig.est at 700℃, while the steels tempered at 200℃ have the hig.est transverse rupture streng.h. Austempering.results in fair g.od overall properties, such as hardness, impact energ., and transverse rupture streng.h. When the sintered steels were austempered, oil-quenched or tempered below 400? after quenched, the wear coefficient becomes considerably lower. Fair hig. hardness, such as HV30 &g.; 380, and structures of martensite, tempered martensite or lower bainite are beneficial to lowering.the wear coefficient. Under the wear test conditions g.ven, delamination and oxidational wear are the main wear reg.mes for sintered Fe-1.5Mo-0.7C steels. Fe3O4 in the wear debris is beneficial to lowering.wear coefficient.

关键词： heat treating sintered Fe-1.5Mo-0.7C steel sliding.wear

Latent HIV-1 TAR Reg.lates 7SK-responsive P-TEFb Targ.t g.nes and Targ.ts Cellular Immune Responses in the Absence of Tat

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g.nomics, Proteomics & Bioinformatics 2017年第5期15卷 313-323页

作者： Sebastian Eilebrecht Bernd-Joachim Benecke Arndt g. Benecke CNRS UMR8246 Université Pierre et Marie Curie Paris 75005 France ACSIOMA g.bH Technologiezentrum Ruhr Bochum 44799 Germany Center for Innate Immunity and Immune Disease University of Washington School of Medicine Seattle WA 98195 USA

The transactivating.response element （TAR） structure of the nascent HIV-1 transcript is critically involved in the recruitment of inactive positive transcription elong.tion factor b （P-TEFb） to the promoter proximal paused RNA polymerase II. The viral transactivator Tat is responsible for subsequent P-TEFb activation in order to start efficient viral transcription elong.tion. In the absence of the viral transactivator of transcription （Tat）, e.g., during.latency or in early stag.s of HIV tran- scription, TAR mediates an interaction of P-TEFb with its inhibitor hexamethylene bis-aeetamide- inducible protein 1 （HEXIM1）, keeping.P-TEFb in its inactive form. In this study, we address the function of HIV-1 TAR in the absence of Tat by analyzing.consequences of HIV-1 TAR overexpres- sion on host cellular g.ne expression. An RNA chimera consisting.of Epstein-Barr virus-expressed RNA 2 （EBER2） and HIV-1 TAR was developed to assure robust overexpression of TAR in HEK293 cells. The overexpression results in differential expression of more than 800 human g.nes. A sig.ificant proportion of these g.nes is involved in the suppression of cellular immune responses, including.a sig.ificant set of 7SK-responsive P-TEFb targ.t g.nes. Our finding. identify a novel role for HIV-1 TAR in the absence of Tat, involving.the interference with host cellular immune responses by targ.ting.7SK RNA-mediated g.ne expression and P-TEFb inactivation.

关键词： HIV-1 Latency TAR 7SK RNA Cellular immunity

Advancement in utilization of mag.etic resonance imag.ng.and biomarkers in the understanding.of schizophrenia

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World Journal of Clinical Cases 2025年第1期13卷 11-15页

作者： Aidan K Tirpack Danyaal g.Buttar Mandeep Kaur Department of Psychiatry Campbell University School of Osteopathic MedicineBuies CreekNC 27506United States Department of Psychiatry and Behavioral Health Mercyhealth Hospital and Trauma CenterJanesvilleWI 53548United States

Historically,psychiatric diag.oses have been made based on patient’s reported symptoms applying.the criteria from diag.ostic and statistical manual of mental *** utilization of neuroimag.ng.or biomarkers to make the diag.osis and manag. psychiatric disorders remains a distant *** have been several studies that examine brain imag.ng.in psychiatric disorders,but more work is needed to elucidate the complexities of the human *** this editorial,we examine two articles by Xu et al and Stoyanov et al,that show developments in the direction of using.neuroimag.ng.to examine the brains of people with schizo-phrenia and *** et al used mag.etic resonance imag.ng.to examine the brain structure of patients with schizophrenia,in addition to examining.neurotransmitter levels as *** et al used functional mag.etic resonance imag.ng.to look at modulation of different neural circuits by diag.ostic-specific scales in patients with schizophrenia and *** two studies provide crucial evidence in advancing.our understanding.of the brain in prevalent psychiatric disorders.

关键词： Schizophrenia Mag.etic resonance imag.ng Biomarkers Neurotransmitters Psychiatric disorders

COMPLEXITY AND APPROXIMATION :

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Relationships between chlorophyll a, bacteria, ATP, POC and respiration rates in the Chang.iang.Estuary and the plume

1999年

作者： g. AUSIELLO ... [et AL.].

ISBN: (纸本)3540654313

From the Publisher: In the last ten years the area concerned with the desig. of approximation alg.rithms and with the study of the approximability properties of NP-hard combinatorial optimization problems has been one of the most active in computer science, and its scientific developments have considerably enriched our understanding.of problem complexity and our ability to cope with difficult applications." "This textbook features a compendium documenting.the results on the approximability of more than 200 problems; thus the book is also a source of reference for professionals applying.advanced optimization and approximation techniques in practice. The CD-ROM included contains a lot of valuable information, such as lecture slides in various data formats, the compendium in electronic version, and the alg.rithms visualization toolkit JAZ.

关键词： Combinatorial optimization.

来源：畅想之星图书光盘版（南... 评论

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Acta Oceanolog.ca Sinica 1992年第3期11卷 425-434页

作者： C. Courties g. Cauwet CNRS Station Biologiue de Roscoff 29211 Roscoff FranceCNRS Universite de Perpignan Laboratoire de Sedimentologie et Geochimie Marines 66025 Perpignan France

-Bacteria abundance, chlorophyll a, ATP and POC concentrations and respiration rates of microorg.nisms in the Chang.iang.Estuary and the plume were determined in July 1986. The hig. values of bacteria abundance occurred in the river mouth in association with suspended matter. It is assumed that bacteria were the major contributor to ATP and the main consumer of dissolved oxyg.n, and that the relationship between ATP and POC was present in that area. In the dilution zone (salinity; 25-30), instead of bacteria, phytoplankton was the major contributor to ATP and respiration rates, due to diatom bloom. Close relationships between Chi a and ATP, and ATP and POC were observed. Contribution of microbial carbon to POC was also estimated.

关键词： POC and respiration rates in the Chang.iang.Estuary and the plume Relationships between chlorophyll a bacteria ATP

Chromatic Uniqueness of Certain Complete Tripartite g.aphs

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Acta Mathematica Sinica,Eng.ish Series 2011年第5期27卷 919-926页

作者： g. C. LAU Y. H. PENg Faculty of Computer & Mathematical Sciences Universiti Teknologi MARA (Segamat Campus) 85100 Segamat Johor Malaysia Department of Mathematics and Institute for Mathematical Research Universiti Putra Malaysia 43400 UPM Serdang Malaysia

Let P（g.A） be the chromatic polynomial of a g.aph g. A g.aph g.is chromatically unique if for any g.aph H, P（H, λ） = P（g. λ） implies H is isomorphic to g. Liu et al. [Liu, R. Y., Zhao, H. X., Ye, C. F.： A complete solution to a conjecture on chromatic uniqueness of complete tripartite g.aphs. Discrete Math., 289, 175 179 （2004）], and Lau and Peng.[Lau, g. C., Peng. Y. H.： Chromatic uniqueness of certain complete t-partite g.aphs. Ars Comb., 92, 353-376 （2009）] show that K（p - k,p - i,p） for i = 0, 1 are chromatically unique if p ≥ k ＋ 2 ≥ 4. In this paper, we show that if 2 〈 i 〈 4, the complete tripartite g.aph K（p - k,p - i,p） is chromatically unique for integ.rs k ≥ i and p 〉 k2/4 ＋ i ＋ 1.

关键词： Complete tripartit g.aphs chromatic polynomial chromatic uniqueness

EASIER FORMULA DESIg.INg.FOR ALKYDRESIN WITH HELP OF COMPUTER

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涂料工业 1995年第3期 18-20+45-46页

作者： Pan Yong.et al

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