简介：theAlternatingSegmentCrank-Nicolsonschemeforone-dimensionaldiffusionequationhasbeendevelopedin[1],andtheAlternatingBlockCrank-Nicolsonmethodfortwo-dimensionalproblemin[2].Themethodshavetheadvantagesofparallelcomputing,stabilityandgoodaccuracy.Inthispaperforthetwo-dimensionaldiffusionequation,thenetregionisdividedintobands,aspecialkindofblock.ThismethodiscalledthealternatingBandCrank-Nicolsonmethod.

简介：本文要证明不存在一个非平凡2-（v，k，3）对称设计，它的旗传递自同构群的基柱是^2F4（q2）

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简介：令R是有1的结合环,本文中给出R上某些2×2块阵的群逆的存在性及表示.

简介：In[1],ShenGuangyuconstructedseveralclassesofnewsimpleLiealgebrasofcharacteristic2,whicharecalledthevariationsofG2.Inthispaper,theauthorsinvestigatetheirderivationalgebras.ItisshownthatG2anditsvariationsallpossessuniquenondegenerateassociativeforms.TheauthorsalsofindsomenonsingularderivationsofViGfori=3,4,5,6,andtherebyconstructsomeleft-symmetricstructuresonViGfori=3,4,5,6.Someerrorsaboutthevariationsofsi(3,F)in[1]arecorrected.

简介：Theobjectinthispaperistoconsidertheproblemofexistence,uniqueness,explicilrepresentationof（0,2）-interpolationonthezerosof（1-x2）P_{n-1（x）/xwhennisodd,wherePn-1denotesLegendrepolynomialofdegreen-1,andtheproblemofconvergenceofinterpolatorypolynomials.}

简介：TheauthorshowsthatK2Z[1+（-35的平根号）/2]?A≈Z/2Z.ThemethodofproofisageneralizationoftheTate'smethod.

简介：设P为素数，利用同余及高次丢番图方程的一些结果证明了不定方程组x-1=3py^2，x^2＋x＋1=3z^2仅有正整数解（p，x，y，z）=（7，22，1，13）。

简介：ForquadraticnumberfieldsF=Q(√2pl…pt-1)withprimespj≡1mod8,theauthorsstudytheclassnumberandthenormofthefundamentalunitofF.TheresultsgeneralizenicelywhathasbeenfamiliarforthefieldsQ(√2p)withaprimep≡1mod8,includingdensitystatements.Andtheresultsarestatedintermsofthequadraticformx2+32y2andillustratedintermsofgraphs.

简介：设α是正实数,[α0;α1,α2。…]是α的简单连分数;d是非平方整数,d1、d2是适合d1d2=d,1≤d12,gcd（d1,d2）=1的正整数,本文证明了:当且仅当α=（d2/d1）（1/2）时,α=[α0α1,…αn-1,2α0],其中α0>0,αi=αn-1（i=1…,α-1）.

简介：.Thesingle2dilationorthogonalwaveletmultipliersinonedimensionalcaseandsingleA-dilation（whereAisanyexpansivematrixwithintegerentriesand｜detA｜=2）waveletmultipliersinhighdimensionalcasewerecompletelycharacterizedbytheWutamConsortium（1998）andZ.Y.Li,etal.（2010）.Butthereexistnomoreresultsonorthogonalmultivariatewaveletmatrixmultiplierscorrespondingintegerexpansivedilationmatrixwiththeabsolutevalueofdeterminantnot2inL2（R2）.Inthispaper,wechoose2I2=（2002）asthedilationmatrixandconsiderthe2I2-dilationorthogonalmultivariatewaveletY={y1,y2,y3},（whichiscalledadyadicbivariatewavelet）multipliers.Wecallthe3×3matrix-valuedfunctionA（s）=[fi,j（s）]3×3,wherefi,jaremeasurablefunctions,adyadicbivariatematrixFourierwaveletmultiplieriftheinverseFouriertransformofA（s）（cy1（s）,cy2（s）,cy3（s））？=（bg1（s）,bg2（s）,bg3（s））？isadyadicbivariatewaveletwhenever（y1,y2,y3）isanydyadicbivariatewavelet.Wegivesomeconditionsfordyadicmatrixbivariatewaveletmultipliers.TheresultsextendedthatofZ.Y.LiandX.L.Shi（2011）.Asanapplication,weconstructsomeusefuldyadicbivariatewaveletsbyusingdyadicFouriermatrixwaveletmultipliersandusethemtoimagedenoising.

简介：Aboundoduesscriterionissetup/orsomeconvolutionoperatorsonacompaotLiegroup,BythiscriterionaHoermandermultipliertheoremisprovedintheHardyspacesonSU(2).

简介：让G是一个有限的组。让Irr1(G)是G和cd1(G)的非线性的无法缩减的人物的集合在Irr1(G)的人物的度的集合。组G被说如果，是D2-group|cd1(G)|=|Irr1(G)|2。这份报纸的主要目的是分类nonsolvableD2-groups。

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简介：相对增益阵列(RGA)大多数应用的矩阵阶数都是较小的(n=2,3或4).我们从矩阵方程Φ(A)=1/2J2的实数解出发,应用矩阵方程Φ(A)=1/nJn的实数解在G-等价下的不变性和实数解的分块构造法,研究了Φ(A)=1/4J4的实数解的一些问题.

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简介：我们分类稳定的homotopy类型(n1)有2的维的polyhedra和3扭转释放的-connected,(n+k)为k的相同6。使用的技术是被Drozd给的矩阵问题(bimodule范畴)。

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简介：1.IntroductionLetRbethecollectionofallrealnumbers,andZthecollectionofallintegers.Iff1(x)andf2(x)aretwofunctionsinL2(R),theinnerproduct2>isgivenbyWesayf1(x)andf2(x)arebiorthogonal,ifFirstletusdescribeaclassoffunctions(x)and(2)inL2(R)asfollows.Thr...

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