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TAKENAKA Shigeo  竹中 茂夫

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… Alternative Names

竹原 茂夫  タケナカ シゲオ

竹中 茂夫  タケナカ シゲオ

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Researcher Number 80022680
External Links
Affiliation (based on the past Project Information) *help 2011 – 2012: 岡山理科大学, 理学部, 教授
1995 – 2009: 岡山理科大学, 理学部, 教授
1990 – 1994: Department of Mathematics, Associate Professor, 理学部, 助教授
1987 – 1989: 名古屋大学, 理学部, 講師
Review Section/Research Field
Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics)
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / 解析学 / Basic analysis / Fundamental theory of informatics / 代数学・幾何学
Keywords
Principal Investigator
決定性 / 確率過程 / 安定分布 / stable random numbers / random numbers / maultiple markov properties / stochastic processes of stable type / 安定型乱数 / 乱数 / 多重マルコフ性 … More / 安定型確率過程 / multi-dimensional time / determinsim / random processes / stable random fields / determinism / set Indexed fields / stable process / 多次元時間 / 決定件 / 安定型確率場 / Division number / Integral Geometry / Determinisms / Symmetric stable processes / Stable systems / Sat-indexed process / SαS-Processes / 確率過程の決定性 / 安定過程 / 分割数 / 積分幾何学 / 対称安定過程 / 安定型確率変数系 / 離散系列の表現 / 確率過程の道の性質 / ブラウン運動の射影不変性 / 差分方程式 / 群不変性 / 確率場の決定性 / 確率場 … More
Except Principal Investigator
離散群 / Heisenberg translation / 基本領域 / 統計的検定 / 擬似乱数 / Functional differential equations / 概周期解 / 安定性 / 関数微分方程式 / 安定過程 / 複素双曲空間 / 確率解析 / Monte Carlo法 / ISOMETRIC SPHERE / DISCRETE GROUP / COMPLEX HYPERBOLIC SPACE / isometric sphere / Stability property / Phase space / Variation-of-constants formula / Admissibility / スペクトル / 準プロセス / 許容性 / 相空間 / 定数変化法の公式 / random walk / 確率数値解析 / Volterra systems / Functional difference equations / ボルテラ系 / 漸近挙動 / 周期解 / 関数差分方程式 / プロセス / partial differential equations / operator algebras / operator theory / theory of real variables / real analysis / functional analysis / 偏微分方程式 / 表現論と調和解析 / 実函数論 / 実解析 / 函数解析 / 拡散過程 / ランダムフラクタル / カオス / 漸近展開 / 確率場 / 超汎関数 / ホワイトノイズ / SHIMIZU'S LEMMA / JORGENSEN'S INEQUALITY / FUNDAMENTAL DOMAIN / HEISENBERG TRANSLATION / UNITARY GROUP PU(1,n;C) / Dirichlet領域 / ユニタリ群PU(1,n ; C) / isometric spheres / 清水の補題 / Jorgensenの不等式 / ユニタリ群PU(1,n;C) / Monte Carlo method / Statistical tests / Stable stochastic processes / Stochastic fields / Pseudorandom number generation / 擬以乱数 / 確立場 / 安定型確率過程 / Fundamental region / Discrete group / Unitary group / boundary elliptic / loxodromic / Heisenberg translertion / ユニタリ群 / Quasi-process / Solution operator / Fading memory space / 遅れ時間 / 差分方程式 / 極限方程式 / 関数微分方程 / 線形化原理 / 解作用素 / 記憶が薄れる空間 / Atatistical tests / Stochastic moswling / Stochastic numerical analysis / Monta Carlo Methods / Hybrid pseudorandom number generation / 確率モデル / Hybrid法 / DIRICHLET POLYHEDRON / FORD REGION / PU(1, n ; C) / PU(I,n;¢) / PU(1,n;C) / Dirichlet polyhedron / Ford domain / PU(l,n,c) / Asymptotic equivalence / 時間遅れ / 定性理論 / 漸近同値性 / statistical tests / finite algebra / stochastic numerical analysis / pseudorandom numbers / 有限代数 / stationary distribution / Markov chain / dam process / process of Ornstein-Uhlenbeck type / process with independent increments / infinitely divisible process / 定常分布 / マルコフ連鎖 / ダムの確率過程 / Ornstein-Uhlenbeck型過程 / 加法過程 / 無限分解可能過程 / Asymptotic behavior / Almost periodic solutions / Periodic solutions / Stability properties / Processes / 有界解 / representation theory and harmonic / quantum mathematics / 作用素 / 作用素環・函数環 / 量子数理 / stable stochastic field / information dynamics / pseudo-differential operator / nonlinear evolution problem / evolution operator / Littlewood-Paley operator / Toeplitz operator / Hardy space / 非線形解析 / 不変部分空間 / 安定型確率場 / 情報力学 / 擬微分作用素 / 非線形発展問題 / 発展作用素 / リトルウッド・ペ-リ-作用素 / テープリッツ作用素 / ハ-ディ空間 / number operator / random-fractal / diffusion process / semi-group / non-linear equation / Gaussian measure / generalized functional / white noise / 非線形発展方程式 / 境界値問題 / マルコフ過程 / 白色雑音 / ナンバー作用素 / セミグループ / 非線形方程式 / ガウス測度 / White noise / Environmental deta / Medical Data / Statistical Model / Asymptotic Expansion / Design / Code / Discrete Structure / Combinatorial Theory / 確率過程 / 多変量解析 / 環境データ / 医学データ / 統計モデル / デザイン / コード / 離散構造 / 組合せ論 / represetation theory and harmonic analysis / function spaces / 作用素環 / 作用素論 / 函数空間 / Robustness / Semi-parametric regression model / Inequality restriction / Lagevin distribution / Canonical correlation model / Multivariate analusis of variance / Statistical inference / Multivariate nonnormal models / 経時データ解析 / ロバスト推定 / ノンパラメトリック推定 / 回帰モデル / 多変量1元配置モデル / セミパラメトリック回帰モデル / ロバストネス / セミパラメトック回帰モデル / 不等式制約 / ランジュバン分布 / 正準相関モデル / 多変量分散分析モデル / 統計的推測 / 多変量非正規モデル / finance theory / stochastic control / quantum chaos / stable random field / Dirichlet forms / analysis on fractals / Malliavin calculus / stochastic analysis / ディリクレ形成 / エルゴ-ド的流 / ジュリア集合 / ウィナ-・リ-マン多様体 / 符号化定理 / 正則関数 / ファイナンス理論 / 確率制御 / 量子カオス / 安定確率場 / ディリクレ形式 / フラクタル解析 / マリアバン解析 / Knot / Martin Boundary / Monge-Ampere Equation / Reaction Diffusion System / Hausdorff Dimension / Fractal Set / Growth Curve Model / Stochastic System and Dynamic System / 摂動論 / 非線形半群 / 中立型方程式 / ホップ分岐 / 分布の漸近展開 / 多粒子モデル / 自己相似性 / エルゴ-ド理論 / 結び目 / マルチン境界 / モンジュ・アンペ-ル方程式 / 反応拡散方程式 / ハウスドルフ次元 / フラクタル集合 / 多変量成長曲線 / 確率系と力学系 / 偏微分方程式論 / 熱方程式 / 超局所解析 / 超関数 / 多キュビット制御 / Tofforiゲート / Deutsch-Jozsaアルゴリズム / 位相的エンタングルメント / 量子計算 / Deutsch-Jozsa アルゴリズム / グローバーアルゴリズム / 位相的エンタン グルメント / 量子エンタングルメント / 初期化アルゴリズム / 量子計算理論 / regular elliptic / complex hyperbolic triangle group / PU(1,2;C) / 複素双曲空問 / フラクタル / エルゴード理論 / 量子場 / 位相場 / ボレル-ヴェーユ理論 / キリロフ-コスタント理論 / 経路積分 / 量子力学 / リー群の等質空間 / ユニタリ表現 / 標本分布 / 統計計算 / 変数選択 / 共分散構造 / 経時測定デ-タ / 統計的推則 / 成長曲線モデル / ラプラス作用素 / 無限次元回転群 Less
  • Research Projects

    (31 results)
  • Research Products

    (11 results)
  • Co-Researchers

    (91 People)
  •  A mathematical and informatics research of combinatorial optimization algorithms in the quantum computing and the quantum entanglement

    • Principal Investigator
      SAWAE Ryuichi
    • Project Period (FY)
      2009 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Fundamental theory of informatics
    • Research Institution
      Okayama University of Science
  •  Study on discrete subgroups of PU(1,2;C) acting on complex hyperbolic 2-space

    • Principal Investigator
      KAMIYA Shigeyasu
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Okayama University of Science
  •  Theory of stable stochastic processes and generation of random numbers of stable typePrincipal Investigator

    • Principal Investigator
      TAKENAKA Shigeo
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Okayama University of Science
  •  STUDY ON CONDITIONS FOR A SUBGROUP OF PU(1,n ; C) ACTING ON COMPLEX HYPERBOLIC SPACE TO BE DISCRETE

    • Principal Investigator
      KAMIYA Shigeyasu
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      OKAYAMA UNIVERSITY OF SCIENCE
  •  Research on simulations of stochastic fields

    • Principal Investigator
      TAKASHIMA Keizo
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Okayama University of Science
  •  determinisms of Set-Indexed Random Field and their ApplicationsPrincipal Investigator

    • Principal Investigator
      TAKENAKA Shigeo
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Okayama University of Science
  •  A representation formula for solutions of equations with delay in the phase space and its applications

    • Principal Investigator
      MURAKAMI Satoru
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Okayama University of Science
  •  Study on Fundamental Regions for Discrete Subgroups of PU(1,n;C)

    • Principal Investigator
      KAMIYA Shigeyasu
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Okayama University of Science
  •  Hybrid pseudorandom number generations and their applications to simulations of stochastic models

    • Principal Investigator
      TAKASHIMA Keizo
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Okayama University of science
  •  Spectral analysis of an operator associated with equations with time delay

    • Principal Investigator
      MURAKAMI Satoru
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Okayama University of Science
  •  STUDY ON DISCRETE SUBGROUPS OF PU(1, n ; C)

    • Principal Investigator
      KAMIYA Shigeyasu
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      OKAYAMA UNIVERSITY OF SCIENCE
  •  Pseudorandom numbers and their Application to Stochastic Numerical Analysis

    • Principal Investigator
      TAKASHIMA Keizo
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Okayama University of Science
  •  Determinisms of Stable Processes and their ApplicationsPrincipal Investigator

    • Principal Investigator
      TAKENAKA Shigeo
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Okayama University Science
  •  United Study of Functional and Real Analysis

    • Principal Investigator
      OHYA Masanori
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      解析学
    • Research Institution
      Science University of Tokyo
  •  Research of equations with time delay

    • Principal Investigator
      MURAKAMI Satoru
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Okayama University of Science
  •  THE INTEGRAL REPRESENTATION OF INFINITELY DIVISIBLE RANDOM FIELDS WITH ITS APPLICATION TO THE PROBLEM OF LAW EQUIVALENCE

    • Principal Investigator
      INOUE Kazuyuki
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      SHINSHU UNIVERSITY
  •  多径数安定過程の理論とその応用Principal Investigator

    • Principal Investigator
      竹中 茂夫
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Okayama University of Science
  •  Functional analysis and applications

    • Principal Investigator
      OHARU Shinnosuke
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      HIROSHIMA UNIVERSITY
  •  Comprehensive Study of Functional and Real Analysis

    • Principal Investigator
      KOMATSU Hikosaburo
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      解析学
    • Research Institution
      Science University of Tokyo
      The University of Tokyo
  •  Mathematical base of experimental data science and its applications

    • Principal Investigator
      KAGEYAMA Sampei
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Hiroshima University
  •  Probabilistic and Analytical Research of White Noise System

    • Principal Investigator
      KUBO Izumi
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      HIROSHIMA UNIVERSITY
  •  多径数安定型確率場の理論Principal Investigator

    • Principal Investigator
      竹中 茂夫
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Hiroshima University
  •  ガウス型およびポアソン型白色雑音系の研究

    • Principal Investigator
      KUBO Izumi
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Hiroshima University
  •  A study of statistical inference in multivariate nonnormal models

    • Principal Investigator
      FUJIKOSHI Yasunoro
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      HIROSHIMA,UNIVERSITY
  •  等質空間上の経路積分

    • Principal Investigator
      岡本 清郷
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Hiroshima University
  •  経時測定デ-タの推測理論と応用に関する研究

    • Principal Investigator
      FUJIKOSHI Yasunori
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Hiroshima University
  •  Co-operative Research of Probability Theory

    • Principal Investigator
      FUKUSHIMA Masatoshi
    • Project Period (FY)
      1991 – 1992
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka University
  •  ホワイトノイズ解析と確率場

    • Principal Investigator
      飛田 武幸
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  Mathematical Analysis of Stochastic and Dynamic Systems

    • Principal Investigator
      FUJIKOSHI Yasunori, 十時 東生
    • Project Period (FY)
      1989 – 1990
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Hiroshima University
  •  偏微分方程式の解に対する局所理論と超関数論

    • Principal Investigator
      松沢 忠人
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  多次元パラメーターの確率場の表現とその応用Principal Investigator

    • Principal Investigator
      竹中 茂夫
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University

All 2006 2005 2004 2003

All Journal Article

  • [Journal Article] On generation of stable random numbers (in Japanese)2006

    • Author(s)
      Hayashi, Satomi ; Enomoto, Yasuhiro ; Hayashi, Hiroko, Takenaka, Shigeo
    • Journal Title

      The Institute of Statistical Mathematics Cooperative Research Report 184

      Pages: 89-101

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540130
  • [Journal Article] 安定型乱数の発生について2006

    • Author(s)
      林聡美, 榎本安宏, 林弘子, 竹中茂夫
    • Journal Title

      無限分解可能過程に関連する諸問題(10) 統計数理研究所共同研究リポート (3月発行掲載確定)

      Pages: 13-13

    • Data Source
      KAKENHI-PROJECT-16540130
  • [Journal Article] 安定型乱流の発生について。2006

    • Author(s)
      林聡美, 榎本安宏, 林弘子, 竹中茂夫
    • Journal Title

      統計数理研究所リポート 184

      Pages: 89-101

    • Data Source
      KAKENHI-PROJECT-16540130
  • [Journal Article] 安定型乱数の発生について2006

    • Author(s)
      林聡美, 榎本安宏, 林弘子, 竹中茂夫
    • Journal Title

      統計数理研究所共同研究リポート 184

      Pages: 89-101

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540130
  • [Journal Article] 裾の重い分布に従う乱数の発生2005

    • Author(s)
      林聡美, 竹中茂夫
    • Journal Title

      岡山理科大学紀要(2004年付け、発行2005年3月) 40-A

      Pages: 1-7

    • NAID

      110001244621

    • Data Source
      KAKENHI-PROJECT-16540130
  • [Journal Article] Generation of Random numbers with Heavy tailed Distributions (in Japanese)2004

    • Author(s)
      Hayashi, Satomi, Takenaka, Shigeo
    • Journal Title

      The bulletin of Okayama University of Science 40

      Pages: 1-7

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540130
  • [Journal Article] 裾の重い分布に従う乱数の発生2004

    • Author(s)
      林聡美, 竹中茂夫
    • Journal Title

      岡山理科大学紀要 40A(掲載予定)

      Pages: 8-8

    • NAID

      110001244621

    • Data Source
      KAKENHI-PROJECT-16540130
  • [Journal Article] Generation of Random numbers with Heavy tailed Distributions2004

    • Author(s)
      Hayashi, Satomi, Takenaka, Shigeo
    • Journal Title

      The Institute of Statistical Mathematics Cooperative Research Report 170

      Pages: 63-70

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540130
  • [Journal Article] Generation of Random Numbers with Heavy Tailed Distribution2004

    • Author(s)
      林聡美, 竹中茂夫
    • Journal Title

      統計数理研究所共同研究リポート 170

      Pages: 63-70

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540130
  • [Journal Article] 裾の重い分布に従う乱数の発生2004

    • Author(s)
      林聡美, 竹中茂夫
    • Journal Title

      岡山理科大学紀要 40

      Pages: 1-7

    • NAID

      110001244621

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540130
  • [Journal Article] Linearly additive random fields with increments on time-like curves2003

    • Author(s)
      S.Takenaka
    • Journal Title

      Probability and Mathematical Statistics 231

      Pages: 1-5

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540192
  • 1.  WATANABE Hisao (40037677)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 2.  MURAKAMI Satoru (40123963)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 3.  TAKASHIMA Keizo (00137184)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 4.  HAMAYA Yoshihiro (40228549)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 5.  KAMIYA Shigeyasu (80122381)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 6.  SHIMENO Nobukazu (60254140)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 7.  FUJIKOSHI Yasunori (40033849)
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  • 30.  HYODO Yoshio (90189811)
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  • 35.  尾畑 伸明 (10169360)
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  • 89.  辛崎 秀樹 (20186612)
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  • 90.  玉木 大 (10252058)
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  • 91.  SANO Shigeru
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