简介：Analgorithmofcontinuousstage-spaceMCMCmethodforsolvingalgebraequationf(x)=0isgiven.Itisavailableforthecasethatthesignoff(x)changesfrequentlyorthederivativef'(x)doesnotexistintheneighborhoodoftheroot,whiletheNewtonmethodishardtowork.Letnbethenumberofrandomvariablescreatedbycomputerinouralgorithm.Thenafterrn=O(n)transactionsfromtheinitialvalueXo,X^*canbegotsuchthat[f(x^*)|＜e-^cm|f(xo)|bychoosingsuitablepositiveconstantc.Anillustrationisalsogivenwiththediscussionofconvergencebyadjustingtheparametersinthealgorithm.

简介：Anecessaryandsufficientconditionofregularityof（0,1,…,m-2,m）interpolationonthezerosof（1-x）Pn-1α,β（x）（α>-1,β≥-1）inamanageableformisestablished,wherePn-1α,β（x）standsforthe（n-1）thJacobipolynomial.Meanwhile,theexplicitrepresentationofthefundamentalpolynomialswhentheyexist,isgiven.

简介：ＳＩＮＧＵＬＡＲＩＴＹＡＮＤＱＵＡＤＲＡＴＵＲＥＲＥＧＵＬＡＲＩＴＹＯＦ（０，１，．．．，ｍ－２，ｍ）─ＩＮＴＥＲＰＯＬＡＴＩＯＮＯＮＴＨＥＺＥＲＯＳＯＦ（１－ｘ）Ｐｎ－１αβ（ｘ）ＳｈｉＹｉｎｇｇｕａｎｇ（史应光）(ＣｏｍｐｕｔｉｎｇＣｅ...

简介：引理1C（x）为m次实多项式m<2k则（C（x））/（（x2+px+q）k）=（Ax+B）/（（x2+px+q）k）+（N（x））/(（x2+px+q）k-1)（式中p2-4q<0）A,B为唯一确定的实数;N（x）为次数小于2（k-1）的实多项式.证假定引理成立,则有

简介：确定一个物体的内部结构而不切开它,或者观看身体一个断面而不受其他部分影响,这一直是放射科医生和工程师的目标。这些目标已经通过计算机断层扫描(CT)和其他技术实现了,并被应用在每一个医院。本文应该能够帮助读者欣赏这项技术及其数学基础。

简介：WestudytheDirichletproblemassociatedtostronglynonlinearparabolicequationsinvolvingp(x)structureinW_0~(1,x)L~(p(x))(Q).WeprovetheexistenceofweaksolutionsbyapplyingGalerkin'sapproximationmethod.

简介：S.M.LozinskiiprovedtheexactconvergencerateatthezeroofLagrangeinterpolationpolynomialsto|x|basedonequidistantnodesin[-1,1].In2000,M.RevergeneralizedS.M.Lozinskii'sresultto|x|α(0≤α≤1).Inthispaperwewillpresenttheexactrateofconvergenceatthepointzerofortheinterpolantsof|x|α(1＜α＜2)..

简介：在一般调和映射基础上定义了X-调和映射和次椭圆调和映射,得到了X-词和映射的稳定性定理,它是Leung一般调和映射及其稳定性定理的推广.

简介：SupposethatCisthecomplexplaneandkisanon-negativeinteger.DefinefunctionsNk-(x)=|x|kifkisevenandNk(x)=x|x|k-1ifkisodd.SomeapproximationpropertiesofNk-(x)’sisdiscussedandanewexampleofaTchebycheffsystemisgivenout.

简介：当O〈a〈2时，积分∫^∞xsint/t^αdt收敛．本文研究在2≤a〈4时，反常积分∫^∞xsint/t^αdt当x→0^＋时的估计式．

简介：TheexpressionofcyclotomicpolynomialΦ_(pq)(x)isconcernedforalongtime.AsimpleandexplicitexpressionofΦ_(pq)(x)inZ[x]hasbeenshowed.TheformofthefactorsofΦ_(pq)(x)overF_2andtheupper,lowerboundsoftheirHammingweightareprovided.

简介：SomecharacterizationsoftheconditionalexpectationoperatorsonLebesgue-BochnerspacesL_p(μ,X)aregiven,where1≤p<∞,p≠2.AlsoanexampleisgiventoshowthatthecharacterizationsoftheconditionalexpectationoperatorsonL_p(μ,X)aredifferentfromthatonL_p(μ)_zFinally,arepresentationoftheconstant-preservingcontractiveprojectiononspacesL_p(μ,X)isgotwhen0

简介：Itiswellknownthateveryprimeidealminimaloveraz-idealisalsoaz-ideal.TheconverseisalsowellknowninC(X).ThuswheneverIisanidealinC(X),thenI~(1/2)isaz-idealifandonlyifIis,inwhichcaseI~(1/2)=I.Weshowthesamefactforz~o-idealsandthenitturnsoutthatthesumofaprimaryidealandaz-ideal(z~o-ideal)inC(X)whicharenotinachainisaprimez-ideal(z~o-ideal).Wealsoshowthateverydecomposablez-ideal(z~o-ideal)inC(X)istheintersectionofafinitenumberofprimez-ideals(z~o-ideal).Somecounter-examplesingeneralringsandsomecharacterizationsforthelargest(smallest)z-idealandz~o-idealcontainedin(containing)anidealaregiven.

简介：Thepresentpapershowsthatforanysequenceofrealnumberswithinfinitedistinctelements{λ_n},therationalcombinationof{x~λ}arealwaysdenseinC_[0,1].

简介：最近，Brutman和Passow认为Newman类型合理插值是to|x|由对称的节点的任意的集合导致了在[-1,1]并且给了近似错误的一般评价。由他们的方法，一个人能为一些特殊节点建立近似的准确顺序。在我们考虑插值节点是第二种类型的零个Chebyshev多项式并且在这种情况中证明那的特殊情况的现在的纸，近似的准确顺序是O(1/(nlnn))。

简介：作者与非线性的边界状况学习p(x)拉普拉斯算符方程。由使用变化方法，在不安上的适当假设下面称为f1(x,u)，f2(x,u)并且h1(x),h2(x),以便联系功能分别地满足“山通行证词根”和“喷泉定理”，答案的存在和复合被获得。讨论基于可变代表Lebesgue和Sobolev空格的理论。

简介：SomenecessaryandsufficientconditionsoftheoontinuityofA_x~+aregivenin[1]Inthispaper,someadvancesonthebaseandtheconditionoftheoontinuityofA_~+forSemi-FredholmoperatorsA_xarepresented.

简介：<正>Foranoddfunctionf(x)definedonlyonafiniteinterval,thispaperdealswiththeexistenceofperiodicsolutionsandthenumberofsimpleperiodicsolutionsofthedifferentialdelayequation(DDE)(?)(t)=-f(x(t-1)).Byuseofthemethodofqualitativeanalysiscombinedwiththeconstructingofspecialsolutionsaseriesofinterestingresultsareobtainedontheseproblems.

简介：让一，b，c，r被修理积极整数以便一(2)+b(2)=c(r)，min(一，b，c，r)>1和2转换了微小r。在这篇论文，我们证明那如果等价物到2(现代派4)，b等价物到3(现代派4)，c>3。10(37)并且r>7200，然后方程(x)+b(y)=c(z)仅仅有答案(x，y，z)=(2，2，r)。

简介：本文提出方程ｆｎ（ｘ）＝Ａｆ（ｎ－ｋ）（（ａｘ＋ｂ）／（ｃｘ－ａ）），证明它是可积的．所得结论是文献［１］中结论的推广．