Engineering-Research-Activity2016｜SHINSHU UNIV.

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サイズW7.5cm×H4.35cm配置位置横11cm、縦2.5cmサイズW7.5cm×H4.35cm配置位置横11cm、縦7.8cmKawabeLabOverthelastfiftyyearstherehavebeenmanyattemptsinextendingthetheoryofclassicalprobabilityandstatisticalmodelstothegeneralizedonewhichcancopewithproblemsofinferenceanddecisionmakingwhenthemodel-relatedinformationisscare,vague,ambiguous,orincomplete.Suchattemptsincludethestudyofnonadditivemeasuresandnonlinearintegrals,impreciseprobabilities,vectormeasures,andtheirapplicationsininformationsciences,economics,engineering,andsocialsciences.Nonadditivemeasureandnonlinearintegraltheoryrefinethemathematicaltheoryofmeasureandintegrationandtheyarecloselyrelatedtoprobabilitytheoryandstatistics.Theyhavebeenusedinexpectedutilitytheory,gametheory,andsomeeconomictopicsunderKnightianuncertainty.Vectormeasuresarealsousefulwhenstudyingmathematicalmodelsininfinitedimensionalsystems.Jun KawabeProfessorDoctor of Science (Tokyo Institute of Technology, 1981)Specialty area:nonadditivemeasures, nonlinear integrals, and vector measures.Some of our recent papers concerning nonadditivemeasure theory. They are published in English to spread all over the world.Mathematics for Uncertainty and FuzzinessTo finish off writing a paper, we always have some hundreds-page research note. Weareproducingqualitygraduateswithintellectualcreativityandlogicalthinkingpoweraswellasknowledgeandskillsintheirspecializedfields.Mathematics In the FutureAfter GraduationOhnoLabQuantuminformationtheoryisaninformationtheorybasedonquantummechanics.Quantumteleportationandaquantumcomputerarefamousandimportantapplicationsofquantuminformationtheory.Sincequantumstatesaredescribedbyoperatorsandmatriceswithsomeproperties,itisimportanttostudyoperatortheoryandtheoryofoperatoralgebra.Ourgroupstudiesquantuminformationtheorymathematically.RSAisacryptosystembasedonthedifficultyoffindingaprimefactorization.Butifwehaveaquantumcomputer,wecanfinditeasilyandthuswecancrackacode.Quantumteleportationisanewmeansofcommunication.Whenweusequantumteleportation,itisimpossibletoeavesdrop.Quantuminformationtheorywilldevelopourcommunicationtechnology.HiromichiOhnoAssociate ProfessorPh.D., Information science, Tohoku University, March 2005.Associate professor at ShinshuUniversity, since 2009.Daily life in our laboratory. Students study and prepare for their seminar.Operator Theory and Quantum Information TheoryA scene of a seminar. Students and teachers discuss mathematical problems.Graduatedstudentsfromourlaboratoryworkinvariousfieldsasengineers,governmentemployees,teachers,etc.Oneofouraimsistoimprovestudents’logicalthinkingskillsandproblem-solvingabilities.Mathematics In the FutureAfter Graduation67

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