简介：<正>方程(组)知识是初中数学的核心内容之一,也是中考命题的重点内容.它主要包括一元一次方程、二元一次方程组、可化为一元一次方程的分式方程、一元二次方程的解法以及列方程(组)解决实际问题.其中考查方程(组)的解法以选择题和填空题为主,计算量不大;考查列方程(组)解应用题以解答题为主,主要考查解工程类、方案设计类及决策类问题.

简介：TheV^t-integralasdefinedin[2],whichiseqnivalenttoM^2-integrslasdefinedinTrigonometreseriesbyZygmundisusedtosumtrigonometricseiesin[1].Inthispaper,someconvergenttheoremsofV^2-integralareestablished.

简介：LiuandYangavethedegreeconditionforabalancedbipartitegraphG=(V_1,V_2;E)tohavekvertex-disjointquadrilateralscontaininganygivenkindependentedgese_1,...,e_kofG,respectively.Theyalsoconjecturedthatforanykindependentedgese_1,...,e_kofG,Ghasa2-factorwithkcyclesC_1,C_2,…,C_kwithrespectto{e_1,e_2,...,e_k}suchthatk-1ofthemarequadrilaterals.Inthispaper,weprovethisconjecture.

简介：Inthispaper,abetterasymptoticorderofFouriertransformonSL(2,R)isobtainedbyusingclassicalanalysisandLieanalysiscomparingwiththatof[5]、[6],andthePlanchereltheoremonCc2(SL(2,R))isalsoobtainedasanapplication.

简介：Inthispaper,weuseamethodinordertofindexactexplicittravelingsolutionsinthesubspaceofthephasespaceforCH2equations.Thekeyideaisremovingacoupledrelationforthegivensystemsothatthenewsystemscanbesolved.Theexistenceofsolitarywavesolutionsisobtained.Itisshownthatbifurcationtheoryofdynamicalsystemsprovidesapowerfulmathematicaltoolforsolvingagreatmanynonlinearpartialdifferentialequationsinmathematicalphysics.

简介：Wetackletheproblemofconstructing2DcentroidalVoronoitessellationswithconstraintsthroughanefficientandrobustconstructionofboundedVoronoidiagrams,thepseudo-dualoftheconstrainedDelaunaytriangulation.WeexploitthefactthatthecellsoftheboundedVoronoidiagramcanbeobtainedbyclippingtheordinaryonesagainsttheconstrainedDelaunayedges.Theclippingitselfisefficientlycomputedbyidentifyingforeachconstrainededgethe(connected)setoftriangleswhosedualVoronoiverticesarehiddenbytheconstraint.TheresultingconstructionisamenabletoLloydrelaxationsoastoobtainacentroidaltessellationwithconstraints.

简介：ConsiderL2-projectionuhofuton-degreefiniteelementspaceonone-dimensionaluniformgrids.TwodifferentclassesoftheorthogonalexpansioninanelementforconstructingasuperclosetofunctionuhareproposedandthensuperconvergenceforbothuhandDuhareproved.Whennisoddandnoboundaryconditionsareprescribed,thenuhisofsuperconvergenceatn+1orderGausspointsGn+1ineachelement.Whennisevenandfunctionvaluesontheboundaryareprescribed,thenuhisofsuperconvergenceatn+1orderpointsZn+1ineachelement.Iftheotherboundaryconditionsaregiven,thentheconclusionsarevalidinallelementsthatitsdistancefromtheboundary≥ch|lnh|.Theaboveconclusionsarealsovalid.forn-dergreerectangularelementQ1（n）.

简介：在这篇论文，我们学习在订的复制Hilbert空格和它的复制内核之间的关系。对多项式与领先的学期产生的二个伪不变的潜水艇空格的一个类似、单一的等价的完全的描述被给。

简介：<正>"整式与分式"这部分内容,主要涉及的考点有:整式与分式的概念和运算,因式分解和分式的基本性质.试题难度为低、中档,题型多以选择题、填空题、计算题的形式出现,着重考查基础知识、基本技能和基本方法.近年来中考的热点是化简、求值的考查,旨在让学生通过探索灵活、简捷的解法,提高分析问题的能力.因此,在复习中我们要掌握整式与分式的运算法则并能灵活应用,提高运算能力、观察能力、解决实际问题

简介：如果图G的一个正常染色满足染任意两种颜色的顶点集合导出的子图是一些点不交的路的并,则称这个正常染色为图G的线性染色.图G的线性色数用1c（G）表示,是指G的所有线性染色中所用的最少颜色的个数.本文证明了对于每一个最大度为△（G）且围长至少为5的平面图G有1c（G）≤[△（G）/2]＋5,并且当△（G）{7,8,…,14}时,1c（G）≤[△（G）/2]＋4.

简介：

简介：AconstructiveproofisgivenfortheinversionformulaforzonalfunctionsonSL(2,R).AconcretelyconstructedsequenceofzonalfunctionsareprovedtosatisfytheinversionformulaobtaAnedbyHarish-Chandraforcompactsupportedinfinitelydifferentiablezonalfunctfons.Makinguseofthepropertyofthissequencesomehowsimilartothatofapproximationkernels,theauthorndeducethattheinversionformulaistrueforcontinuouszonalfunctiotmon8L(2,R)somecondition.Theclassicalresultcanbeviewedasacorollaryoftheresultshere.

简介：让M<啜class=“a-plus-plus”>n一光滑关门与n歧管一局部地标准(<潜水艇class=“a-plus-plus”>2)n-action。这份报纸处理关系在之中现代派M的2个Betti数字<啜class=“a-plus-plus”>n,现代派2个Betti数字和行动的轨道空间的h向量。

简介：LetAbead×drealexpansivematrix.AnA-dilationParsevalframewaveletisafunctionψ∈L2(Rd),suchthattheset{|detA|n/2ψ(Ant-l):n∈Z,l∈Zd}formsaParsevalframeforL2(R~d).AmeasurablefunctionfiscalledanA-dilationParsevalframewaveletmultiplieriftheinverseFouriertransformoff■isanA-dilationParsevalframewaveletwheneverψisanA-dilationParsevalframewavelet,where■denotestheFouriertransformofψ.Inthispaper,theauthorscompletelycharacterizeallA-dilationParsevalframewaveletmultipliersforanyintegralexpansivematrixAwith|det(A)|=2.Asanapplication,thepath-connectivityofthesetofallA-dilationParsevalframewaveletswithaframeMRAinL2(Rd)isdiscussed.

简介：Themainresultsareasfollows.

简介：作者主要学习追踪算法到稳定的Euler系统和等温的Euler系统的波浪前面产生的弱答案的差别。在起始的数据足够地具有的假设下面小全部的变化，稳定的Euler系统和等温的超声的流动的系统的解决方案之间的差别能被起始的不安的全部的变化的立方体围住，这被证明。

简介：我们证明复杂c0上的每个2-homogeneous多项式有一个唯一的标准保存扩展到它的双性人双ℓ∞。

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：这份报纸与随机的系数为随机的系统涉及混合H2/H控制，它实际上是把H2优化与H2/H的名字揭示的H柔韧的性能相结合的控制。基于古典理论线性二次(LQ短)最佳的控制，为不定的向后的随机的Riccati方程的答案的存在和唯一的足够、必要的条件(BSRE，为短)把坚韧性与H联系了被导出。然后，为H2/H控制的存在的足够、必要的条件被给利用一双联合随机的Riccati方程。

简介：Thispaperproposesandmakesastudyofanewmodel(calledthe3/2plusjumpsmodel)forVIXoptionpricing.Themodelallowsthemean-reversionspeedandvolatilityofvolatilitytobehighlysensitivetotheactuallevelofVIX.Inparticular,thepositivevolatilityskewisaddressedbythe3/2plusjumpsmodel.Dailycalibrationisusedtoprovethattheproposedmodelpreservesitsvalidityandreliabilityforbothin-sampleandout-of-sampletests.Theresultsshowthatthemodelsarecapableoffittingthemarketpricewhilegeneratingpositivevolatilityskew.