简介：ThispapermakesabriefanalysisontheErrorAnalysis,anditishopedtobehelpfutotheEnglishteachers.

简介：TheauthorsproveaquantitativestabilityresultfortheBrunn-Minkowskzinequalityonsetsofequalvolume：If｜A｜=｜B｜〉0and｜A＋B｜^1/n=（2＋δ）｜A｜^1/nforsomesmallδthen,uptoatranslation,bothAandBareclose（intermsof5）toaconvexsetK.Althoughthisresultwasalreadyprovedbytheauthorsinapreviouspaper,thepresentpaperprovidesamoreelementaryproofthattheauthorsbelievehasitsowninterest.Also,theresulthereprovidesastrongerestimateforthestabilityexponentthanthepreviousresultoftheauthors.

简介：Inthispaper,weestablishaLyapunov-typeinequalityforfractionaldifferentialperiodicboundary-valueproblems.Asapplications,anecessaryconditionisobtainedtoensuretheexistenceanduniquenessofnontrivialsolutionstothisproblem.

简介：InthispaperweestablishtheoscillationinequalityofharmonicfunctionsandHlderestimateofthefunctionsinthedomainoftheLaplacianonconnectedpostcriticallyfinite(p.c.f.)self-similarsets.

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简介：Givenasetofsignals,aclassicalconstructionofanoptimaltruncatablebasisforoptimallyrepresentingthesignals,istheprincipalcomponentanalysis(PCAforshort)approach.Whentheinformationaboutthesignalsonewouldliketorepresentisamoregeneralproperty,likesmoothness,adifferentbasisshouldbeconsidered.OneexampleistheFourierbasiswhichisoptimalforrepresentationsmoothfunctionssampledonregulargrid.ItisderivedastheeigenfunctionsofthecirculantLaplacianoperator.Inthispaper,basedontheoptimalityoftheeigenfunctionsoftheLaplace-Beltramioperator(LBOforshort),theconstructionofPCAforgeometricstructuresisregularized.Byassumingsmoothnessofagivendata,onecouldexploittheintrinsicgeometricstructuretoregularizetheconstructionofabasisbywhichtheobserveddataisrepresented.TheLBOcanbedecomposedtoprovidearepresentationspaceoptimizedforbothinternalstructureandexternalobservations.Theproposedmodeltakesthebestfromboththeintrinsicandtheextrinsicstructuresofthedataandprovidesanoptimalsmoothrepresentationofshapesandforms.

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简介：Theplenopticcameraisasinglelensstereocamerawhichcanretrievethedirectionoflightrayswhiledetectingtheirintensitydistribution.Inthispaper,torevealmoretruthsofplenopticcameraimaging,wepresentthewavefrontanalysisfortheplenopticcameraimagingfromtheangleofphysicalopticsbutnotfromtheraytracingmodelofgeometricoptics.Specifically,thewavefrontimagingmodelofaplenopticcameraisanalyzedandsimulatedbyscalardiffractiontheoryandthedepthestimationisredescribedbasedonphysicaloptics.Wesimulateasetofrawplenopticimagesofanobjectscene,therebyvalidatingtheanalysisandderivationsandthedifferencebetweentheimaginganalysismethodsbasedongeometricopticsandphysicalopticsarealsoshowninsimulations.

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简介：我们在某些合理假设下面考虑有弹性的薄盘子的颤动。我们由哈密尔顿原则为这个模型导出非线性的方程。在为起始的数据的hyperbolicity上的条件下面，我们建立本地时间well-posedness为起始并且由Picard重复的边界值问题为解决方案策划，并且获得估计。

简介：Objective:Population-basedcancerregistrationdatawereusedtoanalyzetheepidemiologyandtrendofmalignantmesotheliomainChina,andtheresultwouldprovidebasicdataforitspreventionandcontrol.Methods:Malignantmesotheliomadatain2013wereretrievedfromthedatabaseofNationalCancerRegistry.Malignantmesotheliomaincidenceandmortalitywereestimatedusingage-specificratebyurban/ruralandgenderaccordingtothenationalpopulationin2013.Malignantmesotheliomadatafrom22cancerregistrieswereusedfortrendanalysisduring2000–2013.Results:Itisestimatedthattherewere2,041newmalignantmesotheliomacasesand1,659malignantmesotheliomadeathsoccurredin2013.ThecrudeincidencerateinChinawere1.50/106(males1.67/106,females1.32/106),age-standardizedincidenceratesbyChinesestandardpopulation(ASIRC)andbyworldstandardpopulation(ASIRW)were1.03/106and1.02/106,respectively.ThecrudemortalityrateinChinawas1.22/106(males1.67/106,females1.32/106),age-standardizedmortalityratesbyChinesestandardpopulation(ASMRC)andbyworldstandardpopulation(ASMRW)were0.83/106and0.81/106,respectively.TherewasanincreasingtrendofincidencerateformalignantmesotheliomainregistrationareasofChinaduring2000–2013withannualpercentagechange(APC)of2.5%[95%confidenceinterval(95%CI):0.6%–4.5%].Afteragestandardization,nosignificantdifferenceswereobserved.Nomatterforcrudemortalityratesorage-standardizedmortalityrates,nosignificantdifferenceswereobservedduring2000–2013.Conclusions:Malignantmesotheliomaisthemajoroccupationalandenvironmentalneoplasmassociatedwithasbestosexposure.Theincreasingincidencetrendsuggeststhatmoreattentionshouldbepaidonthisdisease.

简介：(1)RareearthpriceindexRareearthpriceindexincreasedatfirstbutfellduringtheendofDecember2016.Itgrewfrom115.3tothehighestof118.5andthenfellto116.8atthemonthend.(2)Yttrium-mediumandeuropium-richmineralListedpriceofyttrium-mediumandeuropium-richmineralsaveraged195,000yuan/toninNovember,maintainingflatsincethebeginningof2016.However,therealdealpricewasfarlowerthanthelistedone.

简介：Pricesofsomerareearthproductsbegantorisesincethebeginningof2017.ThethirdroundofnationalstockpilingendedonMarch28withbothquantityandpricehigherthanthesecondround.Thus,itsupportsthepricerisingofmostrareearthproducts.Especiallypriceofceriumoxideincreasedby10.10%month-on-month,leadingtherareearthmarket.

简介：Source:AssociationofChinaRareEarthIndustry1.RareearthmarketPricesofkeyrareearthproductsbegantopickupatthestartoftheyear.Overalllightrareearthoxidesprices,comparedwithayearago,grewduringthefirsthalfof2017.Mediumandheavyrareearthoxidesprices,however,weremixed.Pricesofdidymiumoxideanddidymiummetalincreasedlargely.

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简介：Inthispaper,weanalyzethefuzzyreliabilityofparalleling-seriessystem,focusingonthesituationoftheearlyfailuremode.TheearlyfailuremodeoffuzzyreliabilitymainlyobeystheWeibulldistribution.Basedonthis,weobtainthedistributionfunction,densityfunction,failurefunction,reliabilityfunctionandtheformulaofthemeantimetofailure.Fortheparalleling-seriessystemcomposedofmultiplecomponents,C1j,C2j,Cnj…,Cnj(j=1,2,…,K),especiallywhenη=1,mij=m,i=1,…n,j=1,2,…,k,wealsoobtainthecorrespondingformulas.Finally,weciteanexampletoverifytheformulaanddeepentheunderstanding.

简介：Anti-globalizationtrendsareinplayintheUSandWesternEuropewhereelectoratesarerecalcitranttoallowimmigrantsintotheirsocieties,nationalsovereigntyissoughtincertaingeographicareas,andthenationalmoodseekstosuppressnewlyrisingcountries'tradeanddevelopment.ThecontinuationofeconomicdownturninWesterncountriesisreinforcedbytheirinternalwealthgapandexternalcompetition.Ascapitalism'sdemandforprofitisnowbeingcritiquedalongwiththeemergentprofitprospectstobedeliveredbypendingtechnologicalprogress,thetemperofthetimescouldtemporarilyslowdownbutnotreverseglobalization.Timelydiscussionsaboutreformofinternationaleconomicorderandaboutaneffectivenationaldevelopmentmodelshouldseeksustainablesolutionsforhealthy,stableglobalizationanddevelopmentoftheworldeconomy.