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Hasunuma, Toru (5.1%) / Professor   [Detail]
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Academic Degree: 博士(工学)
Field of Study: 情報学基礎理論, Graph Theory, Algorithms
Lecture: SIH(Strike while the Iron is Hot) Training (Common Curriculum), Introduction to STEM (Bachelor Course), STEM Practice (Bachelor Course), オリエンテーション1年 (Bachelor Course), Database Theory (Bachelor Course), Introduction to New Business (Common Curriculum), Management Theory of New Business (Graduate School), Graduation Work (Bachelor Course), International Advanced Technology and Science A (Graduate School), International Advanced Technology and Science B (Graduate School), Applied Mathematical Sciences 1 (Bachelor Course), Lecture on Information Systems 2 (Bachelor Course), Introduction to Information Science (Common Curriculum), Research on Information Sciences (Bachelor Course), Technical English Fundamentals 2 (Bachelor Course), 教員養成講座(前期) (Bachelor Course), 教員養成講座(後期) (Bachelor Course), Methodology of Teaching Mathematics II (Bachelor Course), Methodology of Teaching Mathematics IV (Bachelor Course), Research on Mathematical Sciences (Bachelor Course), Graduate Research on Mathematical Science (Graduate School), Graduate Seminar on Mathematical Science (Graduate School), Studies on Extra-Curricular Activities (Bachelor Course), Introduction to Science and Technology (Common Curriculum), Interdisciplinary Seminar in Science and Technology (Graduate School), Linear Algebra 1 (Common Curriculum), Linear Algebra 2 (Common Curriculum), Information Mathematics (Bachelor Course), Reading Scientific Papers (Bachelor Course), Advanced Discrete Mathematics (Graduate School)
Subject of Study: 超並列計算機の相互結合網を含む各種ネットワークの効率や耐故障性に関するグラフ理論的・アルゴリズム論的考察 (network, graph, algorithm, Interconnection networks, Fault tolerance)
Kakei, Hidekazu (4.0%) / Associate Professor   [Detail]
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Academic Degree: Doctor of Engineering
Field of Study: Space Design
Lecture: C Programming (Including Practical Training) (Bachelor Course), Course Introduction (Bachelor Course), Network Applications (Bachelor Course), Media Information Practical Training I (3DCG Simulation) (Bachelor Course), Media Information Practical Training I (Virtual Reality) (Bachelor Course), Media Information Practical Training II (System Evaluation) (Bachelor Course), Media Information Practical Training II (Application to Spatial Design) (Bachelor Course), Media and ICT (Bachelor Course), Senior Thesis Studies (Bachelor Course), 卒業論文・卒業制作発表会 (Bachelor Course), Introduction to the Regional Design Course (Bachelor Course), Advanced Exercise on Regional Development (Graduate School), 地域創生コースガイダンス (Bachelor Course), 地域創生コース卒業研究提出窓口 (Bachelor Course), Information and Web Technologies Project (Including Practical Training) (Bachelor Course), Introduction to Information Science (Common Curriculum), Advanced Lecture on Space Design (Graduate School), 総合科学実践プロジェクトA-H合同報告会 (Bachelor Course), Integrated Arts and Sciences Project F (Policy Implementation) (Bachelor Course), Integrated Arts and Sciences Practical Course D (Perspectives on Media Art) (Bachelor Course), Discovery Seminar for Freshman (Bachelor Course), Cross Disciplinary Seminar (Graduate School)
Subject of Study: Media Environment (media environment, virtual reality)
Ishimaru, Yoshiyasu (3.0%) / Associate Professor   [Detail]
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Academic Degree: 博士(学術)
Field of Study: Developmental Biology, Molecular Biology
Lecture: Advanced Studies in Molecular Developmental Biology (Graduate School), Undergraduate Work (Bachelor Course), Introduction to Information Science (Common Curriculum), Biometry (Bachelor Course), Practice for Agriscience B (Bachelor Course), Practice for Agriscience C (Bachelor Course), Practice for Agriscience I (Bachelor Course), Practice for Agriscience II (Bachelor Course), Introduction to Agroscience (Bachelor Course), Field Practice for Agriculture, Forestry and Fisheries (Bachelor Course), Introduction to Bio-production Science (Bachelor Course), Advanced Exercise on Agrobioscience (Graduate School), Advanced Research on Agrobioscience (Graduate School), Research on Bioresource Science (Graduate School), Bioindustry C (Bachelor Course), Practice for Bioscience and Bioindustry (Bachelor Course), English for Bioscience and Bioindustry (Bachelor Course), Reading Scientific Papers (Bachelor Course), Reading Scientific Papers Ⅰ (Bachelor Course), Reading Scientific Papers Ⅱ (Bachelor Course), Basic Agroscience I (Bachelor Course)
Subject of Study: 発生・再生のメカニズム
(Okamura, Yasuhiro) (3.0%) / (Retired)   [Detail]
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Academic Degree: 博士(工学)
Field of Study: Communication Engineering
Subject of Study: Optical communication technologies (multi-level modulated optical signals, optical signal processing, optical code division multiplexing, phase-sensitive optical amplification, digital signal processing, optical communication, coherent optical communication)
Furuya, Ray S. (3.0%) / Associate Professor   [Detail]
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Academic Degree: PhD
Field of Study: Astronomy
Lecture: Mechanics and Thermodynamics (Common Curriculum), Math class to avoid losing physics credits (Common Curriculum), The Universe as a Laboratory of Physics: Learning Modern Astronomy (Common Curriculum), An Introduction to Modern Astronomy (Common Curriculum)
Subject of Study: (電波天文学, 赤外線天文学, 星形成過程, 星間物質, 銀河の進化, 分子や原子輝線の励起機構, 偏波観測, データ処理アルゴリズム, 星間ダスト, 次世代直線偏波撮像装置SCUBA-3の開発, 大型サブミリ波望遠鏡LSTの建設)
Ito, Shin-ichi (3.0%) / Associate Professor   [Detail]
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Academic Degree: Ph. D
Field of Study: Bio-Signal Processing, Bio-Signal Processing, Human Science, Human support
Lecture: Introduction to STEM (Bachelor Course), STEM Practice (Bachelor Course), オリエンテーション1年 (Bachelor Course), Introduction to Computer and its Exercises (Bachelor Course), System Design and Experiment (Bachelor Course), Human Sensing (Graduate School), Introduction to Information Science (Common Curriculum), Interdisciplinary Seminar in Science and Technology (Graduate School), Biological and Medical Engineering (Bachelor Course), Graduate Seminar on Computer Science (Graduate School), Introduction to Computer Science (Bachelor Course), Research Approaches in Science and Technology C (Graduate School)
Subject of Study: Psychophysiological Engineering and Its Application (electroencephalogram, Individual Characteristics, Information Visualization, experimental psychology), Electroencephalogram Analysis and Its Application (electroencephalogram), Visualization of Optimization Techniques and Its Application (Information Visualization), Communication support, Human life support, Brain-computer interface, Decision-making detection, Afflatus and/or a sense of discomfort detection, Presage detection, Stress evaluation
Matsumoto, Kazuyuki (3.0%) / Associate Professor   [Detail]
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Academic Degree: 博士(工学)
Field of Study: Affective Computing, Natural Language Processing
Lecture: STEM Practice (Bachelor Course), Introduction to Computer and its Exercises (Bachelor Course), Software Engineering (Bachelor Course), Software Design and Experiment (Bachelor Course), Data Mining (Bachelor Course), Presentation Method (D) (Graduate School), Introduction to Information Science (Common Curriculum), Interdisciplinary Seminar in Science and Technology (Graduate School), Graduate Seminar on Computer Science (Graduate School), Introduction to Computer Science (Bachelor Course), Language Modeling (Graduate School)
Subject of Study: 人間の発話文からの感情認識とロボットの感情創生に関する研究, 機械翻訳技術を応用した英作文支援システムの開発 (Emotion Recognition, English Composition Support, Outcome Management)
Uno, Takeshi (3.0%) / Associate Professor   [Detail]
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Academic Degree: PhD in Engineering
Field of Study: Applied Mathematics, Economics
Lecture: Computer Programming 2 (Bachelor Course), Modeling Theory (Bachelor Course), Graduation Work (Bachelor Course), Calculus 1 (Common Curriculum), Calculus 2 (Common Curriculum), Applied Mathematical Sciences 2 (Bachelor Course), Lecture on Information Systems 2 (Bachelor Course), Research on Information Sciences (Bachelor Course), Technical English Fundamentals 2 (Bachelor Course), Research on Mathematical Sciences (Bachelor Course), Graduate Research on Mathematical Science (Graduate School), Graduate Seminar on Mathematical Science (Graduate School), Optimization (Bachelor Course), Interdisciplinary Seminar in Science and Technology (Graduate School), Advanced Lecture of Stochastic Programming (Graduate School), Reading Scientific Papers (Bachelor Course)
Subject of Study: Operations research, Soft computing (facility location, competitiveness, optimization, fuzzy, stochastic programming, tabu search, particle swarm optimization, evolutionary algorithm, multiobjective programming, genetic algorithm)
Matsuura, Kenji (3.0%) / Professor   [Detail]
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Academic Degree: Doctor of Engineering
Field of Study: Multimedia-Systems
Lecture: STEM Practice (Bachelor Course), Presentation Method (D) (Graduate School), Experimental Design (Bachelor Course), Information Security (Bachelor Course), Information Security System (Graduate School), Information Infrastructure System (Graduate School), Introduction to Information Science (Common Curriculum), Intelligent Information Systems (Graduate School), Introduction to Computer Science (Bachelor Course)
Subject of Study: Asynchronous Virtual Classroom, Knowledge Management, Network Management and Information Infrastructure, Adaptive Learning Media Control, SNS for Learning, Physical Skill Development (lifelong learning, e-learning, Computer Supported Collaborative Learning, Physical Skill, SNS)
Kanenishi, Kazuhide (3.0%) / Professor   [Detail]
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Academic Degree: Master, Ph.D
Field of Study: Educational Technology
Lecture: Moraes's Tokushima --Globalism and People from Abroad--(e-learning) (Common Curriculum), Museum Information and Media Theory (Bachelor Course), Information Media and Learning Science (Common Curriculum), Operation Engineering of Information Infrastructure (Common Curriculum), Information society and ethics (Bachelor Course), Introduction to Information Science (Common Curriculum), Invitation to Mathematics (Common Curriculum), Mathematics in various phenomena (Common Curriculum), An Introduction to Cultural Psychology (Common Curriculum), German Prisoners of War in Japan 1914-1920 : Focusing on Camps in Shikoku (Common Curriculum), Modern science and research integrity(e-learning) (Common Curriculum), Guidance of Human Intelligence(e-learning) (Common Curriculum), Introduction to Probability and Statistics on Social Science (Common Curriculum), Foundations of integrated Sciences: J (Bachelor Course)
Subject of Study: 教育·学習システムに関する研究,特に人間と計算機のインタラクションに注目した学習支援システムに関する研究 (human-computer interaction, artificial intelligence, learning science, cognitive science, ITS)
(Katayama, Shin-ichi) (2.0%) / Professor Emeritus   [Detail]
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Academic Degree: Doctor of Science
Field of Study: Number Theory
Subject of Study: Algebraic stucture of number fields (unit group, class group, diophantine equation)
Yoshida, Hiroshi (1.0%) / Associate Professor   [Detail]
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Academic Degree: 理学修士
Field of Study: Higher Education, Educational Technology, Educational Development in Higher Education
Lecture: Reconsidering university education and one's own learning (Common Curriculum), Thinking on University Education(e-learning) (Common Curriculum), Information Media and Learning Science (Common Curriculum)
Subject of Study: Higher Education, Educational Development in Higher Education
YABE, Takuya (1.0%) / Professor   [Detail]
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Academic Degree: Master of Sociology
Field of Study: Sociology
Lecture: Theory in Regional and Community Development (Bachelor Course), Introduction to Career Planning (Bachelor Course), Course Introduction (Bachelor Course), Introduction to Data Analysis (Bachelor Course), Senior Thesis Studies (Bachelor Course), 卒業論文・卒業制作発表会 (Bachelor Course), Introduction to the Regional Design Course (Bachelor Course), Regional Design Course Seminar Ⅰ (Bachelor Course), Regional Design Course Seminar Ⅱ (Bachelor Course), Advanced Exercise on Regional Development (Graduate School), Introduction to Regional Development Studies (Graduate School), 地域創生コースガイダンス (Bachelor Course), 地域創生コース卒業研究提出窓口 (Bachelor Course), Advanced Lecture on Regional and Community Studies (Graduate School), Community and Regional Studies Course Seminar I (Bachelor Course), Community and Regional Studies Course Seminar II (Bachelor Course), Regional Survey Methods A (Bachelor Course), Regional Survey Methods B (Bachelor Course), Regional Survey Practical Training A (Bachelor Course), Regional Survey Practical Training B (Bachelor Course), Practical Internship with Local Company/Organization (Graduate School), Information Processing Fundamentals (Bachelor Course), Perspectives in Social Comparative Studies (Bachelor Course), Sociological Perspectives (Common Curriculum), 社会学・人類学 卒業論文報告会 (Bachelor Course), Social Statistics Studies II (Bachelor Course), Introduction to Integrated Arts and Sciences (Bachelor Course), 総合科学実践プロジェクトA-H合同報告会 (Bachelor Course), Integrated Arts and Sciences Practical Project H (Community and Cultural Practicum) (Bachelor Course), Integrated Arts and Sciences Practical Course E (Perspectives on Regional Revitalization) (Bachelor Course), Urban Personal Networks (Common Curriculum)
Subject of Study: Urban Sociology, City Planning, Community Development (revitalaizaton of the city, commnuity renovation, personal network, Gerontology, Social Research)
Nishiyama, Ken-ichi (1.0%) / Associate Professor   [Detail]
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Academic Degree: Dr. of Science
Field of Study: Geology
Lecture: SIH(Strike while the Iron is Hot) Training (Common Curriculum), Graduation Work (Bachelor Course), Introduction to Earth Science (Bachelor Course), Introductory Laboratory for Earth Science (Bachelor Course), Laboratory for Earth Science 1 (Bachelor Course), Laboratory for Earth Science 2 (Bachelor Course), Laboratory for Earth Science 3 (Bachelor Course), Disaster reduction of seismic and volcanic hazards (Common Curriculum), Applied Geomorphology (Bachelor Course), Applied Geology (Bachelor Course), Seminar on Natural Sciences (Bachelor Course), Technical English Fundamentals 2 (Bachelor Course), Disaster mitigation of meteorological hazards (Common Curriculum), Introduction to Science and Technology (Common Curriculum), Interdisciplinary Seminar in Science and Technology (Graduate School), Advanced Environmental and Hazard Geology (Graduate School), Graduate Research on Natural Sciences (Graduate School), Graduate Seminar on Natural Sciences (Graduate School), Reading Scientific Papers (Bachelor Course)
Subject of Study: Environmental Geology (Engineering Geology, Hazard Geology, Quaternary Research) (Processes of rock weathering, Geological features of landslide, Quaternary system in Southwest Japan)
(Kawano, Takuji) (1.0%) / Professor Emeritus   [Detail]
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Academic Degree: Ph. D., M. Stat., M. Educ.
Field of Study: 統計教育, Positive Psychology, Higher Education
Subject of Study: Problem Based Learning in Statistics Education, Psychology of Happiness, Significant Learning (problem based learning, statistics education, Significant Learning)
Toyoda, Tetsuya (1.0%) / Professor   [Detail]
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Academic Degree: master of letters
Field of Study: Human Geography, Regional Economics, Regional Economics, Regional Economics
Lecture: SDGs and Global Environmental Problems (Common Curriculum), Course Introduction (Bachelor Course), Introduction to Data Analysis (Bachelor Course), Life Design (Common Curriculum), 二年生以上向けオリエンテーション(総合科学実践講義・総合科学実践プロジェクトガイダンス) (Bachelor Course), Senior Thesis Studies (Bachelor Course), 卒業論文・卒業制作発表会 (Bachelor Course), Introduction to the Regional Design Course (Bachelor Course), Regional Design Course Seminar Ⅰ (Bachelor Course), Regional Design Course Seminar Ⅱ (Bachelor Course), Externship with Local Company/Organization (Graduate School), Advanced Exercise on Regional Development (Graduate School), 地域創生コースガイダンス (Bachelor Course), 地域創生コース卒業研究提出窓口 (Bachelor Course), Regional Transformation and Geographical Theory (Regional History Studies) (Bachelor Course), Perspectives in Regional Policy I (Bachelor Course), Advanced Lecture on Regional Economic Geography (Graduate School), Regional Structure and Geographical Theory (Human Geography) Studies (Bachelor Course), Community and Regional Studies Course Seminar I (Bachelor Course), Community and Regional Studies Course Seminar II (Bachelor Course), Regional Survey Methods A (Bachelor Course), Regional Survey Methods B (Bachelor Course), Regional Survey Practical Training A (Bachelor Course), Regional Survey Practical Training B (Bachelor Course), Foundations of Geography I (Geographical Humanities) (Bachelor Course), Practical Skill Development Internshi (Bachelor Course), Geography and Culture of Tokushima (Common Curriculum), Geography and Culture of Tokushima(e-learning) (Common Curriculum), Information Processing Fundamentals (Bachelor Course), Social Statistics Studies I (Bachelor Course), 総合科学実践プロジェクトA-H合同報告会 (Bachelor Course), Integrated Arts and Sciences Practical Project H (Community and Cultural Practicum) (Bachelor Course), Integrated Arts and Sciences Practical Course E (Perspectives on Regional Revitalization) (Bachelor Course), Cross Disciplinary Seminar (Graduate School)
Subject of Study: Study on Urban System and Spatial Structure of Urban Area, Study on Urban Economics, Housing and Real Estate, Study on Consumer Behavior and Retail Location, GIS (Geographic Information Sysytem) and Spatial Analysis, Study on Regional Income Inequality (urban system, spatial structure, Central Place Theory, urban economics, Housing and Real Estate, geographic information system), 地域経済のサステナビリティに関する研究, 地域におけるソーシャルビジネスとイノベーション, 地域格差の構造と要因に関する研究
Ishida, Motohiro (1.0%) / Professor   [Detail]
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Academic Degree: master of arts
Field of Study: Quantitative Linguistics, data analysis, Text Mining
Lecture: Course Introduction (Bachelor Course), Data Science (Graduate School), Introduction of Data Science (Common Curriculum), Introduction to Data Analysis (Bachelor Course), Data Visualization Studies (Bachelor Course), Senior Thesis Studies (Bachelor Course), 卒業論文・卒業制作発表会 (Bachelor Course), Introduction to the Regional Design Course (Bachelor Course), Advanced Exercise on Regional Development (Graduate School), 地域創生コースガイダンス (Bachelor Course), 地域創生コース卒業研究提出窓口 (Bachelor Course), Information Processing Fundamentals (Bachelor Course), Social Applications of ICT I (WEB Applications) (Bachelor Course), Social Applications of ICT I (Open Source Development) (Bachelor Course), Social Applications of ICT II (Data Management) (Bachelor Course), Social Applications of ICT II (Data Visualization) (Bachelor Course), Introduction to Information Science (Common Curriculum)
Subject of Study: statistics (quantitative linguistics, statistics), data analysis (statistics, data mining), text mining (text mining, data mining, statistics)
Sato, Mitsuhiro (1.0%) / Professor   [Detail]
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Academic Degree: 教育学修士, Dr. of Engineering
Field of Study: Sociology of Sport
Lecture: Wellness Project Practicum (Including Martial Arts Practice) (Bachelor Course), Wellness Project (Bachelor Course), Integrated Seminar on Wellness (Common Curriculum), Course Introduction (Bachelor Course), Coaching Theory Practicum V (Softball) (Bachelor Course), Coaching Theory Practicum VI (Swimming) (Bachelor Course), Sports Sociology (Bachelor Course), スポーツ科学教室卒論中間発表 (Bachelor Course), 二年生以上向けオリエンテーション(総合科学実践講義・総合科学実践プロジェクトガイダンス) (Bachelor Course), Health and Physical Education Teaching Methodology I (Bachelor Course), Health and Physical Education Teaching Methodology II (Bachelor Course), Health and Physical Education Teaching Methodology III (Bachelor Course), Health and Physical Education Teaching Methodology IV (Bachelor Course), Advanced Lecture on Health and Society (Graduate School), Fundamentals of Health Science (Bachelor Course), Senior Thesis Studies (Bachelor Course), Community Sports and Culture Studies (Including Physical Education History) (Bachelor Course), Research Projects for Regional Development (Graduate School), 地域創成プロジェクト研究合同発表会 (Graduate School), Advanced Exercise on Regional Development (Graduate School), School Health Theory (Bachelor Course), 心身健康コースガイダンス (Bachelor Course), Introduction to the Health Sciences of Mind and Body Course (Bachelor Course), 心身健康コース研究室配属ガイダンス (Bachelor Course), Comparative Studies in Society and Culture Course Seminar I (Sociology of Sports) (Bachelor Course), Comparative Studies in Society and Culture Course Seminar II (Bachelor Course), Foundations of Integrated Science D (Fundamentals of Sports Science) (Bachelor Course), 総合科学実践プロジェクトA-H合同報告会 (Bachelor Course), Integrated Arts and Sciences Practical Project C (Health Management) (Bachelor Course), Integrated Science Project C (Bachelor Course), Integrated Arts and Sciences Practical Course B (Perspectives on Mind-Body Wellness) (Bachelor Course)
Subject of Study: 地域スポーツクラブにおける利用住民による事業評価システムの開発, 地域における健康・体力づくり事業のコミュニティ・デザイン (地域スポーツクラブ, 地域計画, 事業評価, スポーツする身体)
Murakami, Kouichi (1.0%) / Professor   [Detail]
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Academic Degree: Doctor of Science
Field of Study: Mathematics
Lecture: Data Science (Graduate School), Control Theory (Bachelor Course), Graduation Work (Bachelor Course), Lecture on Information Systems 1 (Bachelor Course), Research on Information Sciences (Bachelor Course), Technical English Fundamentals 2 (Bachelor Course), Research on Mathematical Sciences (Bachelor Course), Graduate Research on Mathematical Science (Graduate School), Graduate Seminar on Mathematical Science (Graduate School), Interdisciplinary Seminar in Science and Technology (Graduate School), Probability and Statistics (Bachelor Course), Linear Algebra 1 (Common Curriculum), Linear Algebra 2 (Common Curriculum), Functional Equations 1 (Bachelor Course), Reading Scientific Papers (Bachelor Course), Advanced Analysis of Nonlinear Phenomena (Graduate School)
Subject of Study: Differential Difference Equations (delay, bifurcation, nonlinear)
Moriyasu, Kazumine (1.0%) / Professor   [Detail]
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Academic Degree: 博士(理学)
Field of Study: Dynamical Systems
Lecture: Introduction to STEM (Bachelor Course), Advanced Theory of Dynamical Systems (Graduate School), Graduation Work (Bachelor Course), Lecture on Information Systems 2 (Bachelor Course), Research on Information Sciences (Bachelor Course), Technical English Fundamentals 2 (Bachelor Course), General Mathematics (Bachelor Course), Research on Mathematical Sciences (Bachelor Course), Graduate Research on Mathematical Science (Graduate School), Graduate Seminar on Mathematical Science (Graduate School), Interdisciplinary Seminar in Science and Technology (Graduate School), Probability and Statistics 1 (Bachelor Course), Probability and Statistics (Bachelor Course), Statistics (Common Curriculum), Analysis 1 (Bachelor Course), Advanced Analysis 1 (Bachelor Course), Reading Scientific Papers (Bachelor Course)
Subject of Study: Stability of non-invertible systems (hyperbolicity, nonuniform hyperbolicity)
Magishi, Ko-ichi (1.0%) / Professor   [Detail]
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Academic Degree: Doctor of Science
Field of Study: Solid State Physics
Lecture: STEM Practice (Bachelor Course), Graduation Work (Bachelor Course), Mechanics (Common Curriculum), Laboratory Physics (Common Curriculum), Seminar on Natural Sciences (Bachelor Course), Technical English Fundamentals 2 (Bachelor Course), Thermodynamics and Statistics Mechanics 1 (Bachelor Course), Thermodynamics and Statistics Mechanics 2 (Bachelor Course), Laboratory for Physical Science 1 (Bachelor Course), Laboratory for Physical Science 2 (Bachelor Course), Introductory Laboratory for Physical Science (Bachelor Course), Interdisciplinary Seminar in Science and Technology (Graduate School), Seminar on Natural Sciences (Bachelor Course), Graduate Research on Natural Sciences (Graduate School), Graduate Seminar on Natural Sciences (Graduate School), Quantum Condensed Matter Physics (Graduate School), Quantum Physics of Condensed Matter (Bachelor Course), Reading Scientific Papers (Bachelor Course)
Subject of Study: NMR study of strongly correlated electron systems (high temperature superconductor, heavy-fermion system, quantum spin system, metal-insulator transition, nuclear magnetic resonance)