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  • 简介:在数学竞赛和数学杂志中,常常可以看到一些高难度的分式不等式的证明问题.我们通常用柯西不等式推论证明,然而若用“α^2/b≥2λα-λ^2b(α,b∈R^+)”来证明,则可以得到一种统一的解法且简单易行,还能解决更多的分式不等式的试题.下面举例说明.

  • 标签: 柯西不等式 分式不等式 应用 证明问题 数学杂志 数学竞赛
  • 简介:  Enantioimericallypure1,l'-bi-2-naphthol(BINOL)1anditsderivativesareimportantchiralligandsandauxiliariesforanumberofasymmetrictransformations1suchasaldolcondensations,alkylations,Diels-Alderreactions,Michaeladditions,epoxidations,etc.Opticallypure1andtheirderivativeshavealsobeenusedextensivelyinchiralrecognition,chiralseparationandintheconstructionoffunctionalisedmaterials2.Furthermore,(R)-and(S)-BINOLarealsofundamentalstartingmaterialsforthesynthesisofalargevarietyofotherchiralbinaphthylssuchasMOP(2c),NOBIN(2d)andBINAP(2e).Asaresultthedevelopmentofefficientandeconomicmethodsforthepreparationofopticallypure1hasattractedmuchattentioninrecentyears3andnovelmethodsfortheresolutionof(±)-1continuetobedeveloped.……

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  • 简介:利用初等数论的方法研究与广义欧拉函数有关的方程φ(n)=2Ω(n)和φ(φ2(n))=2Ω(n)的可解性,并获得方程的所有正整数解.

  • 标签: 广义欧拉函数 方程 正整数解
  • 简介:Themononuclearcomplex,[NtCl2(trzCHzCHzCOPh)4]·6H2O(trz=1,2,4-triazole),wassynthesizedanditsstructurewasdeterminedbysinglecrystalX-raydetermination.Itcrystallizesinthemonoclinicsystem,spacegroupP21/c,withlatticepa-rameters:a=0.80391(2)nm,b=1.06215(2)nm,c=2.90133(2)nm,β=94.792(1)°andZ=2.EachnickelatomiscoordinatedbyfourNatomsoftriazolefromfourβ-(1,2,4-IriHole-1-yl)propiophenoneligandsandtwochlorideanionsinarrangementwithoctahedralcoordinationgeometry.Inadditiontothecoordinatingnickelcomplex,therearesixunco-ordinatedwatermolecules.TheNi—Ndistanceis0.24865(8)nmandtheNi—Ndistaneesareintherangeof0.2072(2)to0.2099(2)nm,respectively.Inthesolidstate,theUtiecom-poundformsthreedimensionalnetworkstructurethroughhy-drogenbonds.Theintermolecularhydrogenbondsconnectthe[NiCl2(C2H2N3CH2CH2COPh)4]andH2Omoieties.Thedeepgreencrystalswerealsoexaminedbyelementalanalysis,FT-IRandUVspectra,whichareinagreementwiththestructuralda-ta.

  • 标签: 单晶结构 二氯镍 镍(Ⅱ)配合物 六水配合物 ·6H2O 八面体
  • 简介:AsimplespectrophotometricassayofH2O2andglucoseusingAgnanoparticleshasbeencarriedout.RelyingonthesynergisticeffectofH2O2reductionandultraviolet(UV)irradiation,Agnanoparticleswithenhancedabsorptionsignalsweresynthesized.H2O2servedasareducingagentintheAgnanoparticlesformationinwhichAg+wasreducedtoAg0byO2àgeneratedviathedecompositionofH2O2inalkalinemedia.Ontheotherhand,photoreductionofAg+toAg0underUVirradiationsalsocontributedtothenanoparticlesformation.ThesynthesizednanoparticleswerecharacterizedbyTEM,XPS,andXRD.TheproposedmethodcoulddetermineH2O2withconcentrationsrangingfrom5.010à7to6.010à5mol/L.Thedetectionlimitwasestimatedtobe2.010à7mol/L.SincetheconversionofglucosetogluconicacidcatalyzedbyglucoseoxidasewascompaniedwiththeformationofH2O2,thesensingprotocolhasbeensuccessfullyutilizedforthedeterminationofglucoseinhumanbloodsamples.Theresultswereingoodagreementwiththosedeterminedbyalocalhospital.Thiscolorimetricsensorthusholdsgreatpromisesinclinicalapplications.

  • 标签: 银纳米粒子 葡萄糖利用 过氧化氢 H2O2 UV 分光光度测定法
  • 简介:theAlternatingSegmentCrank-Nicolsonschemeforone-dimensionaldiffusionequationhasbeendevelopedin[1],andtheAlternatingBlockCrank-Nicolsonmethodfortwo-dimensionalproblemin[2].Themethodshavetheadvantagesofparallelcomputing,stabilityandgoodaccuracy.Inthispaperforthetwo-dimensionaldiffusionequation,thenetregionisdividedintobands,aspecialkindofblock.ThismethodiscalledthealternatingBandCrank-Nicolsonmethod.

  • 标签: 二维空间 分布函数 有限微分方程 边界条件
  • 简介:Thecopper(Ⅱ)complex[Cu3(nta)2(azpy)2(H2O2)]·6H2O(nta=nitrilotriacetate,azpy=4,4′-azobispyridine)hasbeensynthesizedandcharacterized.TheX-rayanalysisrevealsthattherearetwokindsofcopper(Ⅱ)coordinationenvironments.Cu(1)hasadistortedsquareplanesymmetryandCu(2)hasadistortedoctahedralsymmetry.Cu(1)islinkedtoCu(2)throughntaandboundtoCu(1C)byazpy,andCu(2)islinkedtoCu(2A)throughazpy,whichextendstotwo-dimensionalnetworkwithlargerhombus1.2nm×1.7nm.

  • 标签: 合成 结构 二(次氮基三乙酸酯)二(偶二嘧啶酰胺)二水三铜络合物
  • 简介:The2-Dheteronuclearcoordinationpolymer{[Ag4Fe2(SCN)12(H2O)2][(inaH)2(H2O)2]}n(1)(inaHistheabbreviationofprotonatedisonicotinicacid)withchemicalformulaC24H20Ag4Fe2N14O8S12hasbeensynthesizedandcharacterizedbysinglecrystalX-raydiffraction,elementalanalysisandIRspectroscopy.TheAgES2ringsconnecttwokindsofoctahedralgeometriesofFe(Ⅲ)ions,[Fe(NCS)6]^3-and[Fe(H2O)E(NCS)4]^-unitswithbridgingthiocyanateionsleadingto2-D[Ag4Fe2(SCN)12(H2O)2]^2-anionframework.Fourkindsofringsincludingtheunprecedentedthirty-twomemberedAg4Fe4(SCN)8ringssharecomersoredgesinthe2-Danionlayerstructure.AllthiocyanatescoordinatetothemetalionsaccordingtotheHSABprinciplewithNatomsbindingtotheFe(Ⅲ)ionsandwithSatomsbindingtoAg(I)ions.Pronoatedinacationsstabilizethelayerstructureascounterionsandhydrogenbondswereformedwithinthepronoatedinacationsdimerandbetweenthedimersandthelatticewaters.Crystaldata:Mr=1560.44,triclinic,P-↑1,a=0.76082(1)nm,b=0.9234nm,c=1.85611(4)nm,α=103.0170(10)°,β=93.7780(10)°,γ=97.4080(10)°,V=1.25385(3)nm^3,Z=1,μ(MoKα)=2.650mm^-1,Dc=2.067g·cm^-3,F(000)=758,R1=0.0412,wR2=0.1003.

  • 标签: 合成 晶体结构 异核核糖核酸 有机聚合物
  • 简介:while approximately the other 30-35% of the patents have received endovascular coiling. Optimal treatment of patients with intracranial aneurysm requires a highly experienced center that is capable of both coiling and clipping.,Current diagnostic Tests for Intracranial Aneurysms Patients with ruptured aneurysms producing SAH are usually diagnosed by CT scan. However,Current treatment Options for Intracranial Aneurysms Aneurysms that have ruptured require treatment to prevent another rupture (rebleeding). Following the initial rupture of an aneurysm

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  • 简介:2003年,中国IT服务市场规模呈大幅上升趋势,IT服务正成为IT产业中一个强势增长的市场。特别是随着我国企业信息化的逐步深入,信息化应用和解决方案将会掀起新一轮发展热潮,并将与电子政务一同为IT服务商提供巨大商机。

  • 标签: 中国 IT服务 IT产业 行业信息化 市场规模 市场规模
  • 简介:在《汽车总动员2》中,闪电麦坤参加了一场国际大赛,它会胜出吗?板牙会在比赛中帮助麦坤,并和它一起完成一个神秘任务。

  • 标签: 小学 英语教学 教学方法 阅读教学
  • 简介:当堂反馈1.压强是反映——的物理量.一辆“东风牌”汽车对地面的压强是1.8×10^4Pa它所表示的物理含义是——.

  • 标签: 压强 物理量 东风牌
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  • 简介:a series of share issue privatizations can indeed promote the growth of global capital market,Privatisation International [Gibbon (1998,This has told the reason of the fast growth of global capital market. And then I succinctly indicated the continuance of the rapid growth

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  • 简介:熙熙攘攘的文学市场的人流中,依然畅销的阿来,竟显得有些落寞。如同川藏高原那静静生长并演绎的文化和人生。但阿来一如既往的从容自信,因为他笔下是普天之下的独一无二,《尘埃落定》如此,《空山》如此,《空山(2)》也如此。

  • 标签: 伐木场 泥石流 长篇小说 家伙 图书馆 声音