2016APMCMProblemATemperatureandkeyelementcontentpredictionbasedonopticalinformationdataLightcontainsenergy，anditcanbeconvertedintoheatinsomecertainconditions.Burningisanexampleascommonphenomenonwhichcangivebothlightandheat.Lightandheatareusuallyconcomitant,andgenerallyspeaking,thehigherlightintensity,thehigherthetemperature.Thereisnodirectrelationshipbetweenlightintensityanditstemperature,buttheopticalfrequencyhasagreatrelationshipwiththetemperature,suchaslowfrequencyinfraredlightandfarinfraredlight,whichhasatypicalthermaleffect,whilethereisnearlynothermaleffectforUVlightwithhighfrequency.Inthecaseofthesamefrequency,thelargerthelightintensity,thebetterthethermaleffect.Metalsmeltingisaprocessthatmetalmaterialthrownintoagivenmeltingpotwillbesmeltunderacertaintemperatureinordertocontroloreliminateinferiorelementandremainorincreasetheproportionofsuperiorelement.Thusseektoacquirethebestperformanceofobjectivemetal.Sothekeyfactorofmetalsmeltingliesinthecontroloftemperatureandthecontentofkeyelements.Intheprocessofmetalsmelting,thefurnaceproducesflame,thentheopticalinformationemittedbytheflameisprojectedontothephotodetectorthroughthetheoryofpinholeimaging.Next,accordingtothediscretefrequency,thelightintensitydataoftheflameisrecordedatevery0.5sbythephotodetector.Opticalinformationdatagenerationprocessatacertaintime:Fig.OpticaldatagenerationprocessatacertaintimeFromtheimageabove,theamountofdatareceivedbythephotodetectoris2048duringevery0.5seconds.Itisrequiredtousethevaluesofthese2048lightintensitytopredicttheflametemperatureandthecontentofthekeyelementsintherawmaterialsinrealtime.Thedatainthethreeprocessofmetalsmeltingarepresentedintheappendix,whichare1.xlsx,2.xlsxand3.xlsx.Thedataincludesthetimet、thecumulativeconsumptionofcombustiongasQ,thecumulativeconsumptionratioofcombustiongasp,opticalinformationdata（f_1-f_2048，lightintensityatdifferentfrequencies）,KelvintemperatureTandcontentofkeyelementC.Glossary:Opticalinformationcharacteristics:Ifconsidering2048lightintensityd...
