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简介：Hereweexploresomefundamentalaspectsofwhatmaybetermedasanewarithmeticfunction（definednotionallyastheTfunction）togetherwithitspossibleinverse（TI）,asitisnotinfrequentdiscussionamongthenumbertheorists.

简介：<正>InthepresentnotethealgebraicindependenceofvaluesofseveralMahlerserieswithcertainparticularanddifferentparametersatalgebraicpointsisestablishedbymeansofatypicalapproximationmethodhandlingtheLiouvilletypeseries.

简介：Foranyx∈(0,1](exceptatmostcountablymanypoints),thereexistsauniquesequence{dn(x)}n≥1ofintegers,calledthedigitsequenceofx,suchthat■.ThedexterinfiniteseriesexpansioniscalledtheL¨urothexpansionofx.ThispaperisconcernedwiththesizeofthesetofpointsxwhosedigitsequenceinitsL¨urothexpansionisstrictlyincreasingandcontainsarbitrarilylongarithmeticprogressionswitharbitrarycommondifference.Moreprecisely,wedeterminetheHausdorffdimensionoftheaboveset.

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简介：OnthebasisofaresultinYor(1992),thispapergivesexplicitexpressionsforthevaluationandhedgingofthearithmeticAsianoption.

简介：Arithmeticcodingisarelativelynewloss-lessdatacompressiontechniquethathasattractedmuchattentioninrecentyears.Weshowtheiterationofbit-levelarithmeticcodingcanbespecifiedbyacontinuousfunction.Theanalysisexpressionandsomepropertiesofthisfunctionarediscussed.Anapplicationofthefunctionisprovidedforexploringthesecurityofarithmeticcodeswhentheyareusedfordataencryption.

简介：Inthispaper,ageneralalgorithmforthecomputationoftheFouriercoefficientsof2π-periodic(continuous)functionsisdevelopedbasedonDirichletcharacters,GausssumsandthegeneralizedM¨obiustransform.ItpermitsthedirectextractionoftheFouriercosineandsinecoefficients.Threespecialcasesofouralgorithmarepresented.AVLSIarchitectureispresentedandtheerrorestimatesaregiven.

简介：让b(n)表示n的立方的分区对的数字。在这份报纸，我们试图提供策略获得b(n)的算术性质。这把肯定答案给二Lins推测。

简介：为相对主要的积极整数u0并且r，并且为0kn，定义uk:=u0+kr。让Ln:=最小公倍数(u0，u1，...，un)并且让一，2是的l任何整数。在这份报纸，作者显示出那，为整数一，r最大(一，l1)并且nlr，下列不平等抓住$$L_n\geqslantu_0r^{\left({l-1}\right)\alpha+一-l}\left({r+1}\right)^n.$$特别地，让3产出的l=Ln上的以前的更低的界限在2010由hong和Kominers获得了的最好上的改进。

简介：我们描绘所有功能f：以便f(m2+n2)=f(m)2+f(n)2为所有m，n。结果，都，如此的功能能被组织进三个家庭，也就是f0，f(n)=

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简介：Someofthemaincoolingprocessesandequipmentthatarecurrentlybeingusedinthecontinuousannealingprocessline(CAPL)atBaosteelareintroduced,aswellastheircoolingcontrolmodeltechniques,themodelingprincipiumandtheirapplicationresults.Withchartsindicatingthecontroltrendsinrealprocesses,thepowerfuladjustingabilityofthecontrolmodelswithprocessvariabledifferencesandtheirexcellentcontrolprecisionareshowninthisstudy.

简介：Inthispaper,byconstructingtheone-to-onecorrespondencebetweenitsIFSandthequaternaryfractionalexpansion,then-thiterationanalyticalexpressionandthelimitrepresentationofthefamilyoftheKoch-typecurveswitharbitraryanglesareobtained.ThedistinctionbetweenourmethodandthatofH.SaganisthatweprovidethegenerationprocessanalyticallyandrepresentitasagraphofaseriesfunctionwhichlooksliketheWeierstrassfunction.Withthesearithmeticexpressions,wefurtheranalyzeandprovesomeofthefractalpropertiesoftheKoch-typecurvessuchastheself-similarity,theHo¨lderexponentandwiththepropertyofcontinuouseverywherebutdifferentiablenowhere.Then,wewillshowthattheKochtypecurvescanbeapproximatedbydifferentconstructedgenerators.BasedontheanalytictransformationoftheKoch-typecurves,wealsoconstructedmorecontinuousbutnowhere-differentiablecurvesrepresentedbyarithmeticexpressions.Thisresultimpliesthattheanalyticalexpressionofafractalhastheoreticalandpracticalsignificance.

简介：Thispaperdescribesamaximumtimedifferencepipelinedarithmeticchip,the36-bitadderandsubtractorbasedon1.5μmCMOSgatearray.Thechipcanoperateat60MHz,andconsumeslessthan0.5Watt.Theresultsarealsostudied,andamoreprecisemodelofdelaytimedifferenceisproposed.

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简介：Itisacomplexanddifficulttasktosimulatethedegradatingprocessofporousbiologicceramicinlife-formbycomputer.Becausetheevolvementofcrystal'sstructuredealswithnotonlythemechanismofmanyfactors,suchascrystallographytropism,thereciprocityofwafer,interfacialmovement,butalsotopologygeometrymechanismofdimensionalpadding.

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简介：Fromsuchactualconditionsastheeffectsofcharacteristicsofmiltilayerpetroleumgeologyandpermeationfluidmechanics,anewnumericalmodelisputforwardandcouplingsplitting-upimplicitinteractiveschemeisformed.FortheactualsituationofDongyinghollow(four-layer)andTanhairegion(three-layer)ofShengliPetroleumField,thenumericalsimulationtestresultsandtheactualconditionsarecoincident.

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