简介：Inthispaper,wedevelopGaussianquadratureformulasfortheHadamardfi-nitepartintegrals.Inourformulas,theclassicalorthogonalpolynomialssuchasLegendreandChebyshevpolynomialsareusedtoapproximatethedensityfunctionf(x)sothattheGaussianquadratureformulashavedegreen-1.Theerrorestimatesoftheformulasareobtained.Itisfoundfromthenumericalexamplesthattheconvergencerateandtheaccu-racyoftheapproximationresultsaresatisfactory.Moreover,therateandtheaccuracycanbeimprovedbychoosingappropriateweightfunctions.

简介：这篇论文以在结理论描述的外科的操作获得Hadamard门和CNOT门的系的图画。

简介：FinitepartintegralsintroducedbyHadamardinconnectionwithhyperbolicpartialdifferentialequations,havebeenusefulinanumberofengineeringapplications.Inthispaperweinvestigatesomenumericalmethodsforcomputingfinite-partintegrals.

简介：Inthisstudy,anewmethodologybasedontheHadamardmatrixisproposedtoconstructquantumBooleanfunctionsfsuchthatf=I2n-2P2n,whereI2nisanidentitymatrixoforder2nandP2nisaprojectivematrixwiththesameorderasI2n.TheenumerationofthisclassofquantumBooleanfunctionsisalsopresented.

简介：1IntroductionForann×nmatrixAwhichisaninverseM-matrix,M.Neumannin[1]conjecturedthattheHadamardproductA·AisaninverseofanM-matrix.TheyhavecheckedhisconjecturewithoutfailureonUltrametricmatricesandinverseofMMA-matrices,Uni-pathicmatricesandtheWillongbyinverseM-matrices.Bo-YingWangetal.in[2]haveinvestigatedTriangularinverseM-matriceswhichareclosedundertheHadamardmultipli-cation.LuLinzheng,SunWeiweiandLiWenin[3]presentedamoregeneralconjecture

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简介：ForaCarnotgroupG,weestablishtherelationshipbetweenextendedmeanvaluesandr-convexfunctionswhichisintroducedinthispaper,whichisaclassofinequalitiesofHadamardtypeforr-convexfunctiononG.

简介：通过引入两个函数，讨论了它们的凸性和单调性，由此得到下凸函数的Hadamard不等式的改进，推广了有关文献的结果．又根据GA一下凸函数与下凸函数的关系，得到GA一凸函数的Hadamard不等式的改进与推广．

简介：对于任意的n阶实矩阵A,给出了A°(A*)T与A的奇异性间的关系,指出了A°(A*)T的行和与列和为矩阵A的行列式|A|,最后给出了矩阵类A°(A*)T与n阶方阵的一个等价类的一一对应关系.

简介：ForthelowerboundaboutthedeterminantofHadamardproductofAandB,whereAisan×nrealpositivedefinitematrixandBisan×nM-matrix,JianzhouLiu[SLAMJ.MatrixAnal.Appl.,18(2)(1997):305-311]obtainedtheestimatedinequalityasfollowsdet(AoB)≥a11b11nⅡk=2(bkkdetAk/detAk-1+detBk/detBk-1(k-1Ei=1aikaki/aii))=Ln(A,B),whereAkiskthordersequentialprincipalsub-matrixofA.WeestablishanimprovedlowerboundoftheformYn(A,B)=a11baanⅡk=2(bkkdetAk/detAk-1+akkdetBk/detBk-1-detAdetBk/detak-1detBk-1)≥Ln(A,B).Formoreweakerandpracticallowerbound,Liugiventhatdet(AoB)≥(nⅡi=1bii)detA+(nⅡi=1aii)detB(nⅡk=2k-1Ei=1aikaki/aiiakk)=(L)n(A,B).WefurtherimproveitasYn(A,B)=(nⅡi=1bii)detA+(nⅡi=1aii)detB-(detA)(detB)+max1≤k≤nwn(A,B,k)≥(nⅡi=1bii)detA+(nⅡi=1aii)detB-(detA)(detB)≥(L)n(A,B).

简介：利用平方凸函数与凸函数的关系,证明了平方凸函数单侧导数的存在性和单调性,建立了平方凸函数与其单侧导数的不等式关系.在此基础上,给出平方凸函数定积分已有下界的改进和新的下界.给出由平方凸函数Hermite-Hadamard型不等式生成的差值的估计.

简介：Inthispaper,weproposeaghostimagingschemewithfastWalsh–Hadamardtransform,namedGIFWHT.Inthescheme,Walsh–Hadamardpatternpairsareusedtoilluminateanobjecttogeneratepairsofdetectionresults,andthecorrespondingdifferentialdetectionresultisusedastheresultasthatfromtheconventionalbucketdetector.ByperformingthefastWalsh–Hadamardtransformon2~k(kisapositiveinteger)differentialdetectionresults,theimageoftheobjectcanberecovered.TheexperimentalandnumericalsimulationresultsshowthatthereconstructiontimeofGIFWHTisgreatlyreduced,andthequalityoftherecoveredimageisnoticeablyimproved.Inaddition,GIFWHTisrobustagainstinterferencefromenvironmentalilluminationandcouldsavememory.

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简介：爆炸逻辑网络是用炸药非常规爆轰特性实现的传爆序列，它由多个爆炸逻辑单元（逻辑零门、与门和破坏性交叉通路）组成，主要运用在定向战斗部等常规武器系统中，起引爆控制作用。2005年，研制出爆炸逻辑零门（设计参数间隙L为0．3～2．1）、破坏性交叉通路（设计参数夹角动35°～60°）。但是作为应用技术，爆炸逻辑网络的可靠性关系到整个武器系统可靠性，关系到武器能否准确打击预定目标。