简介：X-rayimagingistheconventionalmethodfordiagnosingtheorthopedicconditionofapatient.ComputerizedTomography(CT)scanningisanotherdiagnosticmethodthatprovidespatient’s3Danatomicalinformation.However,bothmethodshavelimitationswhendiagnosingthewholeleg;X-rayimagingdoesnotprovide3Dinformation,andnormalCTscanningcannotbeperformedwithastandingposture.Obtaining3Ddataregardingthewholeleginastandingpostureisclinicallyimportantbecauseitenables3Danalysisintheweightbearingcondition.Basedontheseclinicalneeds,ahardware-basedbi-planeX-rayimagingsystemhasbeendeveloped;itusestwoorthogonalX-rayimages.However,suchmethodshavenotbeenmadeavailableingeneralclinicsbecauseofthehightcost.Therefore,weproposedawidelyadaptivemethodfor2DX-rayimageand3DCTscandata.Bythismethod,itispossibletothreedimensionallyanalyzethewholeleginstandingposture.TheoptimalpositionthatgeneratesthemostsimilarimageisthecapturedX-rayimage.Thealgorithmverifiesthesimilarityusingtheperformanceoftheproposedmethodbysimulation-basedexperiments.Then,weanalyzedtheinternal-externalrotationangleofthefemurusingrealpatientdata.Approximately10.55degreesofinternalrotationswerefoundrelativetothedefinedanterior-posteriordirection.Inthispaper,wepresentausefulregistrationmethodusingtheconventionalX-rayimageand3DCTscandatatoanalyzethewholelegintheweight-bearingcondition.

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简介：让M是紧缩的orientable无法缩减的3-manifold，和F是在把M切成二manifoldsM1和M2的M的必要连接关上的表面。如果Mi有最小的Heegaard切开Mi=$V_i\cup_{H_i}$V_i\cup_{H_i}有d(H1)的Wi+d(H2)2(g(M1)+g(M2)？g(F))+1，然后g(M)=g(M1)+g(M2)？g(F)。

简介：Inthisnotesomerecurrencerelationsforthedimensionsofthesplinespacesonsocalled0-starsarepresented.

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简介：Wegiveadetaileddescriptionofnonconstantharmonicfunctionsonthelevel3SierpinskigasketThenweextendthemethodonβ-setwith1/3<β<1/2.

简介：刻画加权Bergman空间Aα^2（Ω）上的加权复合算子Cφ,Ф的Schatten-p类．

简介：设m为正整数，n=2m，p为一奇素数，令d=pm＋1/2,elm，其中a∈Fpn,γ是Fpn中的一非平方元．本文研究了有限域Fpn上的函数F（x）=Tr1（axpm＋e＋1-γdxpm＋1），利用有限域上的二次型理论，证明了在role为奇数的条件下或role为偶数但a（pn-1）/pe＋1）≠1的条件下，F（x）为P元弱正则Bent函数．

简介：令Hn(p)表示形如f(z)=zp+∑+∞k=π+pakzk,且在单位圆U=(z;|z|＜1}内解析的函数f(z)的全体所成的函数类.本文应用微分从属技巧得到了p-叶β级星像函数的一些充分条件,所得结果推广了一些作者的相关结果.

简介：Inthispaper,wepresentanexplicitone-stepmethodforsolvingperiodicinitialvalueproblemsofsecondorderordinarydifferentialequations.ThemethodisP-stable,andoffirstalgebraicorderandhighphase-lagorder.Toimprovethealgebraicorder,wegiveacompositionsecondorderschemewiththeproposedmethodanditsadjoint.Wereportsomenumericalresultstoillustratetheefficiencyofourmethods.

简介：LetL=L0+VbethehigherorderSchrdigertypeoperatorwhereL0isahomogeneousellipticoperatoroforder2mindivergenceformwithboundedcoefficientsandVisarealmeasurablefunctionasmultiplicationoperator(e.g.,including(-?)m+V(m∈N)asspecialexamples).Inthispaper,assumethatVsatisfiesastronglysubcriticalformconditionassociatedwithL0,theauthorsattempttoestablishatheoryofHardyspaceHpL(Rn)(0<p≤1)associatedwiththehigherorderSchrdingertypeoperatorL.Specifically,wefirstdefinethemolecularHardyspaceHpL(Rn)bytheso-called(p,q,ε,M)moleculeassociatedtoLandthenestablishitscharacterizationsbytheareaintegraldefinedbytheheatsemigroupe-tL.

简介：利用临界点理论研究具有部分周期位势的非自治常p-Laplace系统周期解的存在性．在具有p-线性增长非线性项时，根据广义鞍点定理，得到了系统多重周期解存在的充分条件．

简介：Klapper(1994)showedthatthereexistsaclassofgeometricsequenceswiththemaximalpossiblelinearcomplexitywhenconsideredassequencesoverGF(2),butthesesequenceshaveverylowlinearcomplexitieswhenconsideredassequencesoverGF(p)(pisanoddprime).ThislinearcomplexityofabinarysequencewhenconsideredasasequenceoverGF(p)iscalledGF(p)complexity.ThisindicatesthatthebinarysequenceswithhighGF(2)linearcomplexitiesareinadequateforsecurityinthepracticalapplication,while,theirGF(p)linearcomplexitiesarealsoequallyimportant,evenwhentheonlyconcerniswithattacksusingtheBerlekamp-Masseyalgorithm[Massey,J.L.,Shift-registersynthesisandbchdecoding,IEEETransactionsonInformationTheory,15(1),1969,122–127].Fromthisperspective,inthispapertheauthorsstudytheGF(p)linearcomplexityofHall’ssexticresiduesequencesandsomeknowncyclotomic-set-basedsequences.

简介：使用微分隶属的原则，我们调查p-valent的某些子类的一些包括关系被Cho-Kwon-Srivastava定义的分析函数操作符。

简介：利用概率度量空间中A—proper映射拓扑度的基本性质，在投影完备的Z—P—S空间中研究了非线性映射的不动点问题，得到了一些新的结果．

简介：令简单图G=(V,E)是有p个顶点q条边的图.假设G的顶点和边由1,2,…,p+q所标号,且f:V∪E→{1,2,…,p+q}是一个双射,如果对所有的边xy,f(x)+f(y)+f(xy)是常量,则称图G是边幻图(edge-magic).本文证明了三路树P(m,n,t)当n为偶数,t=n+2时也是边幻图.

简介：由为卡尔弗特和Gupta(1978)的非线性的accretivemappings在范围的和上使用不安理论。答案u∈L~p的存在上的抽象结果(Ω)到，包含p拉普拉斯算符操作员Δ_p的非线性的方程(2N)/(N+1))<p<+∞和N(≥1)表示R~N的尺寸，被学习。讨论的方程和在论文显示出的方法是继续和补充到李和Zhen的相应结果“s以前的论文。获得结果，一些新技术被使用。

简介：给出了两种插值算子，并研究了它们在L^2πp和Lp(R)空间上的逼近阶，用实数α阶的积分模给出逼近度。

简介：这篇论文与p拉普拉斯算符处理非线性的单个四点的边界价值问题的一个班的多重积极解决方案的存在：在哪儿φ(x)=|x|p−2x，p>1，(t)可能在t=是单个的0或t=1。由使用Leggett威廉，修理的固定的点定理和Schauder削尖定理，为存在的足够的条件多重(至少三)上述四点的边界值问题的积极答案被提供。说明获得的结果的重要性的一个例子也被给。

简介：Theauthorsconsiderednon-convolutiontypeoscillatorysingularintegraloperatorswithreal-analyticphases.AuniformboundednessfromHKptoHpofsuchoperatorsisestablished.TheresultisfalseforgeneralCphases.