简介:Ageneralprocedureforconstructingmultivariatenon-tensor-productwaveletsthatgen-erateanorthogonaldecompositionofL~2(R~),s≥1,isdescribedandappliedtoyieldexplicitformulasforcompactlysupportedspline-waveletsbasedonthemultiresolutionanalysisofL~2(R~s),1≤s≤3,generatedbyanyboxsplinewhosedirectionsetconstitutesaunimodularmatrix.Inparticular,whenunivariatecardinalB-splinesareconsidered,theminimallysup-portedcardinalspline-waveletsofChuiandWangarerecovered.Arefinedcomputationalschemefortheorthogonalizationofspaceswithcompactlysupportedwaveletsisgiven.Arecursiveapproximationschemefor“truncated”decompositionsequencesisdevelopedandasharperrorboundisincluded.Aconditiononthesymmetryoranti-symmetryofthewaveletsisappliedtoyieldsymmetricbox-splinewavelets.
简介:CADprocessforstructuredesignofboxculvertisintroduced.Itfollowsthetraditionalwayofculvertdesign.Allworkingconditionsofculvertaretakenintoaccount.Itcangenerateloaddiagram,bendingmomentdiagramandbendingmomentenvelopediagramforasingle-hole,double-holeortriple-holeboxculvert.Thatistosay,thewholeCADprocessfortheboxculvertstructuredesignisrealizedwiththeself-developedsystem.IthasbeenusedtoaccomplishseveralprojectsinChinaandtheresultsaresatisfactory.
简介:AdegreeelevationformulaformultivariatesimplexsplineswasgivenbyMicchelli[6]andextendedtoholdformultivariateDirichletsplinesin[8].Wereportsimilarformulaeformultivariateconesplinesandboxsplines.Tothisend,weutilizearelationduetoDahmenandMicchelli[4]thatconnectsboxsplinesandconesplinesandadegreereductionformulagivenbyCohen,Lyche,andRiesenfeldin[2].
简介:ThepresentpaperinvestigatesthefractalstructureoffractionalintegralsofWeierstrassfunctions.Theexactboxdimensionforsuchfunctionsmanyimportantcasesisestablished.Weneedtopointoutthat,althoughtheresultitselfachievedinthepresentpaperisinteresting,thenewtechniqueandmethodshouldbeemphasized.ThesenovelideasmightbeusefultoestablishtheboxdimensionorHausdorffdimension(especiallyforthelowerbounds)formoregeneralgroupsoffunctions.
简介:Conceptofblackbox,conditionofmodelingandcontrolmethodswereintroduced.Takinghighpuritysilicabrickasanexample,thesilicabrickfeaturedwithhighpurity,lowporosity,lowtruedensityandhighstrengthwasdevelopedthroughproblemanalysis,testdesign,modelingandoptimization.Usinginformationtechnologytoupgraderefractoriesindustrywasdiscussed.
简介:Selectionoftestcasesplaysakeyroleinimprovingtestingefficiency.Black-boxtestingisanimportantwayoftesting,anditsvalidityliesontheselectionoftestcasesinsomesense.Areasonableandeffectivemethodabouttheselectionandgenerationoftestcasesisurgentlyneeded.Thisletterfirstintroducessomeusualmethodsonblack-boxtestcasegeneration,thenproposesanewalgorithmbasedoninterfaceparametersanddiscussesitsproperties,finallyshowstheeffectivenessofthealgorithm.
简介:根据拟南芥的MIKC型MADS—box蛋白序列构建HMM(hiddenmarkovmodel)模型,在大豆基因组中确定了57个MIKC型MADS-box同源基因。分子进化树分析表明,57个大豆MIKC型MADS-box基因分为14个亚类,而MIKC^+型基因又分为两个进化支。控制花形态建成的ABCDE同源异型基因(如AP1,AG,AP3和PI等)和重要的控制开花时间的基因(如SVP和SOCl)在大豆基因组中表现出多拷贝的特征。MEME和SMART分析表明,大豆和拟南芥MIKC型MADS—box基因具有保守的MADS和K-box基序,还有一些亚类具有特异的基序。MIKC型MADS—box基因结构较为保守,多数基因具有7~8个外显子。本研究得到的MIKC型MADS—box基因为下一步研究大豆花形态建成和开花时间调控的分子机制提供了重要参考依据。
简介:ThispapergivesanadditionaldefinitiontomultivariatetruncatedpowerT(x|x1,…,xn)whentheknotsx1,…,xndonotspanthewholespacetowhichx1,…,xnbelong.Bywhich,togetherwiththerecurrencerelation,thepracticalevaluationofT(x|x1,…,xn)willbeveryconvenientandefficient.Thesamediscussionisalsodonetoboxsplines.
简介:Anewsmoothgapfunctionfortheboxconstrainedvariationalinequalityproblem(VIP)isproposedbasedonanintegralglobaloptimalitycondition.Thesmoothgapfunctionissimpleandhassomegooddifferentiableproperties.TheboxconstrainedVIPcanbereformulatedasadifferentiableoptimizationproblembytheproposedsmoothgapfunction.Theconditions,underwhichanystationarypointoftheoptimizationproblemisthesolutiontotheboxconstrainedVIP,arediscussed.Asimplefrictionalcontactproblemisanalyzedtoshowtheapplicationsofthesmoothgapfunction.Finally,thenumericalexperimentsconfirmthegoodtheoreticalpropertiesofthemethod.
简介:Inthispaper,wefirstgiveasmoothingapproximationfunctionofnonsmoothsystembasedonboxconstrainedvariationalinequalitiesandthenpresentanewsmoothingapproximationalgorithm.Undersuitableconditions,weshowthatthemethodisgloballyandsuperlinearlyconvergent.Afewnumericalresultsarealsoreportedinthepaper.
简介:ThispapersummarizedrecentachievementsobtainedbytheauthorsabouttheboxdimensionsoftheBesicovitchfunctionsgivenbyB(t):=∞∑k=1λs-2ksin(λkt),where1<s<2,λk>0tendstoinfinityask→∞andλksatisfiesλk+1/λk≥λ>1.Theresultsshowthatlimk→∞logλk+1/logλk=1isanecessaryandsufficientconditionforGraph(B(t))tohavesameupperandlowerboxdimensions.ForthefractionalRiemann-LiouvilledifferentialoperatorDuandthefractionalintegraloperatorD-v,theresultsshowthatifλissufficientlylarge,thenanecessaryandsufficientconditionforboxdimensionofGraph(D-v(B)),0<v<s-1,tobes-vandboxdimensionofGraph(Du(B)),0<u<2-s,tobes+uisalsolimk→∞logλk+1/logλk=1.
简介:Forhomogeneousisotropicturbulencestudy,theacquisitionofband-passfilteredvelocityincrements(FVI)inanon-forcedturbulentboxisstillachallengebothexperimentallyandnumerically.Turbulenceandassociatedphysicalprocesses,atagiveninstant,arepermanentlycontaminatedbyaforcingprocesswhichcanseldombeuniversal.Thesituationtendstobetheoriginofintermittencyandthenon-Gaussianprobabilitydensitydistributionforaccelerationandvelocitygradients.Torevealimpliedmechanism...