简介：Foranentirefunctionf(z),letM(f,r)=maxisapolynomialofdegreen,then,ingeneral,itisdifficulttoobtainalowerboundfarM(p’,1).Butifthezerosofthepolynomialareclosetotheorigin,thenvariouslowerboundsforM(p’,1)havebeenobtainedinthepast.Inthispaper,wehaveconsideredpolynomialshavingalltheirzerosin,withapossiblezerooforderm(m>0)attheoriginandhaveobtainedalowerboundforM(p’,1),whichisbetterthanmostoftheknownlowerbounds.Ourboundissharpform=0.

简介：如果p(z)是都在|z上有它的零的度n的一个多项式|=k，k1，然后，它被证明[5]那$\mathop{\max}\limits_{\left|z\right|=1}\left|{p'(z)}\right|\leqslant\frac{n}{{k^{n-1}+k^n}}\mathop{\max}\limits_{\left|z\right|=1}\left|{p(z)}\right|.$\mathop{\max}\limits_{\left|z\right|=1}\left|{p'(z)}\right|\leqslant\frac{n}{{k^{n-1}+k^n}}\mathop{\max}\limits_{\left|z\right|=1}\left|{p(z)}\right|。

简介：LetP(z)beapolynomialofdegreenandforanycomplexnumberα,letDαP(z)=nP(z)+(α-z)P′(z)denotethepolarderivativeofP(z)withrespecttoα.Inthispaper,weobtaincertaininequalitiesforthepolarderivativeofapolynomialwithrestrictedzeros.Ourresultsgeneralizeandsharpensomewell-knownpolynomialinequalities.

简介：Inthispaper,wegiveaconvergencetheoremanderrorestimatesforaniterationmethodundernewKantorovitch-Ostrowskitypeconditionusingtheinformationofhigherderivativesatinitialpoints.Comparedwiththecorrespondingstudyin[3],theconvergencedeterminationisestablishedunderoneglobalcondition,insteadoftwo,onthefunction.

简介：<正>ThetruncationequationforthederivativenonlinearSchrodingerequationhasbeendis-cussedinthispaper.TheexistenceofaspecialheteroclinicorbithasbeenfoundbyusinggeometricalsingularperturbationtheorytogetherwithMelnikov’stechnique.

简介：Anewxanthone,1,2-dihydro-3,6,8-trihydroxy-1,l-bis(3-methylbut-2-enyl)-5-(l,1-dimcthylprop-2-enyl)-xanthen-2,9-dione(1),hasbeenisolatedfromtheaerialpartofHypericumerectum.

简介：ThispaperdevelopsaclaseofquadratureformulawithfirstderivativesItisdemonstratedthatitsdegreeofaccuracyisnotlessthan2k+1forasetofdistinctnodes{x0,x1,...,xn}overinterval[a,b],andjustonly2k+1forequallyspacednodes.FarovercomingtheshortcomingofinvolvingagreatnumberofmanualcomputationsfortheintegrationrulesoftheHermitianinterpolationformula,somesimpleformulasforcomputingautomaticallyβi,γiandE[f]bycomputeraregiven,especiallyforequallyspacednodes.

简介：Inthisnote,weobtainanasymptoticestimateforthetimederivativeoftheΦ-entropyintermsofthelowerboundoftheBakry–EmeryΓ2curvature.InthecasesofhyperbolicspaceandtheHeisenberggroup(moregenerally,thenilpotentLiegroupofranktwo),weshowthatthetimederivativeoftheΦ-entropyisnon-increasingandconcaveintimet,alsowegetasharpasymptoticboundforthetimederivativeoftheentropyinthesecases.

简介：ＩｎｔｒｏｄｕｃｔｉｏｎＦｌｕｏｒｏｉｏｎｏｐｈｏｒｅｓｄｅｓｉｇｎｅｄｔｏｃｏｍｐｌｅｘａｎｄｒｅｃｏｇｎｉｚｅｃａｔｉｏｎｉｃａｎｄａｎｉｏｎｉｃｇｕｅｓｔｓｐｅｃｉｅｓｈａｖｅａｔｒａｃｔｅｄｍｕｃｈａｔｅｎｔｉｏｎｉｎｒｅｃｅｎｔｙｅａｒｓｂ...

简介：Recently,ShiXianliangandHuLanpublishedthemethodofconcentrationfactorsfordeterminationofjumpsoffunctionsviaMCMconjugatewavelets.Usually,itisdiculttocalculatetheHilberttransformofgeneralwindowfunctions.TheaimofthispaperistodiscussdeterminationofjumpsforfunctionsbasedonderivativeGaborseries.Theresultswillsimplifythecalculationofjumpvalues.

简介：因为为衍生物的Leibniz牛顿公式不能在本地地里被使用，在本地地上在Walsh分析，或泛音分析调查衍生物的新概念是重要的。根据Butzer介绍的衍生物的想法，Schipp并且跋涉，Weisz证明了一个维的二价的衍生物和积分的最大的操作员从二价的强壮的空间H_被围住(p，q)到L_(p，q)，弱类型(L_1，L_1)，并且二维的案例的相应最大的操作员具有弱类型(H_1~#，L_1)。Inthis纸，我们证明这些最大的操作符在二价的强壮的空格H_p和混合强壮的空格H_p~#0上两个都被围住

简介：概括极化张肌(通用终端)是在一个领域和它的材料参数的形状上包含信息的一系列张肌。这份报纸的目的是提供为二维的电导率或反飞机弹性问题用形状衍生物构造消失通用终端的结构的一个方法。我们作为消失通用终端的结构的一个候选人假定多涂层几何学。我们定义功能的费用最小化通用终端并且计算这功能的发源的形状衍生物通用终端的不安的asymptotic扩大由于结构的接口的小变丑。我们在场为几不同塑造的包括的消失通用终端的结构的一些数字例子。

简介：Aderivativepatchinterpolatingrecoverytechniqueisanalyzedforthefiniteelementapproximationtothesecondorderellipticboundaryvalueproblemsintwodimensionalcase.Itisshownthattheconvergencerateoftherecoveredgradientadmitssuperconvergenceontherecoveredsubdomain,andistwoorderhigherthantheoptimalglobalconvergencerate(ultracovergence)ataninternalnodepointwhenevenorderfiniteelementspacesandlocaluniformmeshesareused.

简介：Inthispaperaclassoftheextendedsecondderivativeformulasispresented.Basedontheextendedk-stepsecondderivativeformulaanewpredictor-correctormethodcalledExtendedk-stepsecondDerivativeMethodforstiffsystemsisformulatedwiththek-stepsecondderivativeformulaasitsimplicitpredictor.Theextendedsecondderivativemethodshavethehigherordersandthebetterstabilityproperties.Thecomputationaleffortiscomparitivelylarge,butmuchofitcanbesaved,sothatthemethodsareacceptableandefficient.

简介：Inthispaper,weconsidertheclassofpolynomialsP(z)=anzn+∑nν=μan-νzn-ν,1≤μ≤n,havingallzerosin|z|≤k,k≤1andtherebypresentanalternativeproof,independentofLaguerre’stheorem,ofaninequalityconcerningthepolarderivativeofapolynomial.

简介：ThepreviouspaperreportedanewderivativeintheEuleriandescriptioninflatspace—thegeneralizedcovariantderivativeofgeneralizedEuleriancomponentwithrespecttotime.ThispaperextendsthethoughtfromtheEuleriandescriptiontotheLagrangiandescription:onthebasisofthepostulateofcovariantforminvariabilityintimefield,wedefineanewderivativeintheLagrangiandescriptioninflatspace—thegeneralizedcovariantderivativeofgeneralizedLagrangiancomponentwithrespecttotime.Besides,thecovariantdifferentialtransformationgroupissetup.ThecovariantforminvariabilityofLagrangianspace-timeisascertained.

简介：ThispaperreportsanewderivativeintheEuleriandescriptioninflatspace-thegeneralizedcovariantderivativewithrespecttotime.Thefollowingcontentsareincluded:(a)therestrictedcovariantderivativewithrespecttotimeforEuleriancomponentisdefined;(b)thepostulateofthecovariantforminvariabilityintimefieldissetup;(c)thegeneralizedcovariantderivativewithrespecttotimeforgeneralizedEuleriancomponentisdefined;(d)thealgebraicstructureofthegeneralizedcovariantderivativewithrespecttotimeismadeclear;(e)thecovariantdifferentialtransformationgroupintimefiledisderived.TheseprogressesrevealthecovariantforminvariabilityofEulerianspaceandtime.

简介：包含脲组的新奇phenylacetylene衍生物被综合并且有Rh催化剂到的polymerized给相应聚合物，poly(1)与中等数字一般水准分子的重量。(1)poly在甲苯是可溶的，CHCl3,CH2Cl2,THF，DMF，和DMSO，但是在己不可溶解，diethyl醚和MeOH。特定的旋转和圆形的二色性(CD)分光镜的研究表明(1)那poly拿了主要传递一个的螺旋状的结构。intramolecular氢结合的存在被液体状态红外光谱学证实。helicity(1)能被温度和阴离子poly调节。聚合物的螺旋状的符合构造对Br-是稳定的但是产生F<啜class=“a-plus-plus”>。

简介：Electroactiveconductingcopolymersofaniline(ANI)anddiphenylamine(DPA)arepreparedonindiumtinoxide(ITO)surfacefrom1mol/LH2SO4aqueoussolutionwithdifferentfeedratiosofANItoDPAbyusingapotentiostaticmethod.FTIRspectraandSEMmeasurementsareusedtoconfirmtheformationofcopolymers.DuetothecombinationoftheN,N′-diphenylbenzidineandanilineunitsinthemolecularchain,thecopolymerfilmsexhibitimprovedelectrochemicalandelectrochromicproperties,comparedtoPANIandPDPA.Thecopolymer[markedasP(ANI9-co-DPA1)]filmpreparedataratioof9:1(ANI/DPA)exhibitsnoveltransmittancemodulationbothinvisibleandnear-infrared(NIR)regionbetween-0.8Vand0.8V(52%and67%respectively)andfastresponsetime(3.6sforcolorationand2.3sforbleachingat600nm).Anelectrochromicdevice(ECD)basedonP(ANI9-co-DPA1)andPEDOT:PSSisalsofabricatedandshowsamulticolorelectrochromicperformance,withagoodopticalcontrast(29%invisibleregionand40%inNIRregion),acceptableresponsetime(8.3sforcolorationand7.5sforbleachingat600nm)andlong-termstability.Clearcolorchangesfromtransparent(-0.8V),brightgreen(0V),seagreen(0.4V)todarkslategray(0.8V)aredemonstrated.

简介：Thisisacontinuationofthepreviouspaper(6).TheauthorsproveHolderandL^pregularityofoperatorsconstructedfromtheobliquederivativeproblemis[6]byestablishingestimatesofpseudodifferentialoperatorswithparameters.