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Sasaki Tateaki  佐々木 建昭

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… Alternative Names

佐々木 建昭  ササキ タテアキ

SASAKI Tateaki  佐々木 建昭

佐々木 健昭  ササキ タテアキ

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Researcher Number 80087436
Other IDs
External Links
Affiliation (Current) 2019: 筑波大学, 数理物質系(名誉教授), 名誉教授
Affiliation (based on the past Project Information) *help 2016 – 2018: 筑波大学, 数理物質系(名誉教授), 名誉教授
2015: 筑波大学, 名誉教授
2011 – 2013: 筑波大学, 名誉教授
2009: University of Tsukuba, 名誉教授
2007 – 2008: University of Tsukuba, Graduate School of Pure and Applied Sciences, Assistant Professor … More
2006: University of Tsukuba, Graduate School of Pure and Applied Sciences, Professor, 大学院数理物質科学研究科, 教授
2005: 筑波大学, 大学院・数理物質科学研究科, 教授
2004: 筑波大学, 大学院・数理物質科学研究所, 教授
1991 – 2003: 筑波大学, 数学系, 教授
1998: 筑波大学, 数学系, 助教授
1987 – 1989: 理化学研究所, 情報科学研究室, 研究員
1986: The Institute of Physical and Chemical Research (Researcher), その他, 研究員 Less
Review Section/Research Field
Principal Investigator
Fundamental theory of informatics / Informatics / 計算機科学 / Science education / Theory of informatics / Basic Section 12030:Basic mathematics-related
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / Global analysis / 教科教育 / Informatics … More / Algebra / Science education / Basic analysis / Engineering fundamentals / Science education Less
Keywords
Principal Investigator
数式処理 / 近似代数 / 数式処理システム / 数値数式融合算法 / 数値数式融合計算 / approximate algebra / algebraic computation / algebraic-numeric computation / 計算機代数 / 近似因数分解 … More / 近似代数の応用 / computer algebra / computer algebra system / 近似的代数計算法 / 多項式因数分解 / アルゴリズム理論 / 浮動小数グレブナー基底 / 近似グレブナー基底 / 近似代数システム / 近似無平方分解 / 近似代数算法 / 数値数式融合システム / 近似GCD / formula manipulation / 近似的代数計算 / 有効浮動小数 / 代数的算法 / 代数的算法の誤差解析 / 誤差解析 / 代数的計算 / 数学公式データベース / グレブナー基底 / 計算機代数システム / 多変数代数方程式 / 数値解析 / 大規模固有地問題 / 多変数代数方程式の解法 / 数式文章編集システム / 多変数代数関数の特異点での展開 / 近似代数計算システム / 連立代数方程式とDixon終結式 / 多変数代数関数の級数展開 / 特異点とHensel級数 / 製係数多項式の近似因数分解 / 拡張ヘンゼル級数 / 大規模一般化固有地問題 / 近似特異系と特異化 / 悪条件連立代数方程式 / パラメータ係数線形方程式系 / 疎な線形方程式系 / 近似グレブナー基底の算法 / 近似特異系 / 近似特異系の特異化 / 悪条件多項式系の良条件化 / モデルに基づく開発 / 疎なパラメータ係数線形系 / 疎線形系のパラメータ解析 / 近似線形従属関係 / 多変数代数関数 / 特異点での級数展開 / ヘンゼル級数 / 近似イデアル / 悪条件方程式系の良条件化 / 特異点での多変数級数展開 / 近似多項式 / ピュイズー級数展開 / 解析接続 / 有理関数近似 / 近似Grobner基底 / application of approximate algebra / formula manipulation system / numeric-algebraic hybrid computation / numeric-algebraic hybrid system / effective floating-point number / 有効浮動少数 / 近似的代数算法 / 代数 / 微分積分 / ソフトウエア / 高等学校 / 中学校 / 学校数学 / テクノロジー / 探求 / 数学科教育課程 / Calculus Unlimited / 視覚化機能 / グラフィンダツール / Algebra / Calculus / Software / High School / Middle School / School Mathematics / Technology / Exploration / 誤差解析と安定化 / 拡張Hensel構成 / 浮動小数Grobner基底 / 直線アレンジメント / 記号的Newton法 / Groebner基底 / 浮動小数Groebner基底 / Hensel構成 / 近接根分離 / 最小根間距離 / 数式処理の教育への応用 / approximate GCD / approximate factorization / extended Hensel construction / approximate Grobner base / eight-line arrangement / 数学公式 / データベース / 公式の自動運用 / 数式の簡単化 / Mathematical formula / Database / Automatic application of formulas / Formula manipulation / 総合的数式処理システム / 近似代数計算 / 数学公式デ-タベ-ス / 抽象デ-タ型 / 総合的数式処理 / プログラムの自動生成 / 連立代数方程式 / 浮動少数係数多項式剰余列 / スツルム列 / GCD算法 / 代数方程式の数値解法 / Formula Manipulation / General Formula Manipulation System / Abstract Data Types / Advanced Algebraic Computation / Algebraic-Numeric Computation / Formula Database / 拡張ヘンゼル構成 / 消去イデアルの最低元 / 多変数多項式剰余列の最終元 / PC-PRS GCD算法 / EZ-GCD算法 / 疎な多変数多項式 / 多変数多項式の消去イデアル / 多変数多項式の剰余列 / 多項式イデアルの最小元 / 近似代数の算法と安定化 / 疎な多変数多項式のGCD算法 / 多変数多項式の疎補間法 / グレブナー基底とシジジー / 多変数多項式系の変数消去 / 多項式剰余列法 / グレブナー基底法 / 臨界的消去法 / 消去イデアルの最小元 … More
Except Principal Investigator
コンピュータ / 数式処理 / 論理 / 推論 / 数学 / テクノロジー / 数学教育 / 素粒子の標準模型 / 電弱理論での輻射補正 / ファインマン振幅の自動計算 / ヒッグス粒子 / Standard model in particle physics / Higgs particle / LEGO / LOGO / 数学史 / 数学的活動 / 対称空間 / symmetric space / 記号処理 / 代数的アルゴリズム / 自動証明 / 計算幾何 / 自動プログラミング / 計算環論 / 微分積分方程式 / 情報伝達 / 数字的構造 / 情報量 / 集合 / 関数 / 図形 / 数式処理システム / ピュイズー級数 / 近似代数 / ヘッケ環の規約表現 / 多変量解析 / Mardraの検定 / Sters推定量 / 縮小推定量 / 構造 / 証明 / 命題 / 条件 / 解釈 / Frobenius conjecture / quantum groups / representation / Artinianring / Hopf algebra / SL_2 / approximate polynomial / meta-ablianization / strongly minimal / almost strongly minimal / DMP / fusion / saturated model / uncountably categorical / 統計的仮説検定 / 適合度検定 / 検出力 / 対立仮説 / 検証的因子分析モデル / 国際化 / 東アジア / カリキュラム / 教育改革 / 電卓 / 国際共同研究 / 環太平洋 / 指導法 / 中等学校 / インターネット / 逆問題 / ディリクレ・ノイマン写像 / EIT / 散乱理論 / S行列 / 散乱行列 / 双曲計量 / シュレーディンガー方程式 / 双曲幾何学 / シミュレーション工学 / 固有値解析 / 基盤ソフトウェア / 基盤ソフトウエア / 次世代シミュレーション / 電子陽電子消滅反応 / QCDパートンシャワー / 超対称性模型 / 深非弾性散乱 / QCDパ-トンシャワ- / 超対称性粒子 / 自動計算システム / 物理での数式処理系 / Electron-positron annihilation / Radiative corrction in electro-weak theory / QCD parton shower / Automatic calculation of Feynman amplitude / Supersymmetric model / 摂動論の自動計算 / 物理のエキスパートシステム / ファインマン振幅 / ループ振幅の積分 / 高エネルギー電子陽電子衝突 / 電弱理論の輻射補正 / 高エネルギー電子陽電子衝突実験 / 物理でのエキスパートシステム / Automation of perturbative calculation / Expert system in physics / Feynman amplitude / Loop integrals / Radiative correction in electro-weak theory / High energy electron-positron collision / 共分散行列の推定 / 無情報先験分布 / 多変量線型仮説の検定 / 統計計算 / 制約のある母数のBayes検定 / 凸多面錐体 / 固有根に対するBayes推定 / 順序統計量 / 情報量基準 / 基準先験分布 / 線型回帰 / Estimation of covariance matrix / Non-informative prior / Test of multivariate linear hypotheses / Statistical computation / Bayes test for resticted parameters / polyhedral convex cone / 教具 / 機構 / 幾何学 / 作図ツール / 社会的構成主義 / 総合的な学習の時間 / 情報科 / 選択数学 / 制御 / ロゴ / 数学的モデル化 / 探究 / 表現 / インターンネット / ホームページ / Mediational Means / Mechanics / Geometry / Dynamic Geometry Software / History of Mathematics, / Social Constructivism / 量子群 / 計算機 / 差分方程式 / 熱核 / 4次元球面 / インスタントン / ユニタリー表現 / 量子群の表現論 / 非可換微分幾何学 / ホモロジー代数学 / 数理物理学 / ファイバー束 / q-アナログ / ゲージ理論 / 代数幾何学 / 調和解析 / コニタリー表現論 / 非可換幾何学 / 量子多様体の非可換幾何 / 調和解析学 / 巡回(コ)ホモロジー / 量子ベクトル束の特性類 / 複素構造と表現論 / 数理物理学のモデル / グレプナー基底 / マルチクラスター計算機システム / quantum group / computer system / 正規特異点 / 純楕円型特異点 / 多重種数 / 単純楕円型特異点 / カスプ特異点 / 変形族 / 複素解析 / 超曲面 / 孤立特異点 / normal singularity / purely elliptic singularity / plurigenera / ラドン変換 / 積分幾何 / 像の特徴付け / 反転公式 / パフィアン型微分作用素 / 平滑化作用 / アファイングラスマン多様体 / グラスマン多様体 / パフィアン / 不変微分作用素 / Radon transform / integral geometry / range characterization / inversion formula / 数学化 / 科学博物館 / 実験・観察 / 展示 / ソフトウエア / さおばかり / 万華鏡 / 実験 / 体験学習 / ハンズオン / モデル化 / パンタグラフ / 音階 / 合同変換 / 透視図法 / メンター / Mathematization / Mathematical activity / Museum of nature and science / Mathematics / History of Mathematics / Experiment and observation / Exhibition / Software Less
  • Research Projects

    (33 results)
  • Research Products

    (156 results)
  • Co-Researchers

    (103 People)
  •  Study of innovative speeding-up of main-variables elimination of multivariate polynomial systemsPrincipal InvestigatorOngoing

    • Principal Investigator
      佐々木 建昭
    • Project Period (FY)
      2018 – 2020
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12030:Basic mathematics-related
    • Research Institution
      University of Tsukuba
  •  疎な多変数多項式・系に対する近似代数算法の開発と安定・効率化Principal InvestigatorOngoing

    • Principal Investigator
      佐々木 建昭
    • Project Period (FY)
      2015 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Theory of informatics
    • Research Institution
      University of Tsukuba
  •  Study of Algorithm and Application of Approximate Groebner BasisPrincipal Investigator

    • Principal Investigator
      SASAKI Tateaki
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Fundamental theory of informatics
    • Research Institution
      University of Tsukuba
  •  Development and Application of a Method for Generalized Eigenvalue

    • Principal Investigator
      SAKURAI Tetsuya
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Engineering fundamentals
    • Research Institution
      University of Tsukuba
  •  Study of Algorithms and Applications of Approximate AlgebraPrincipal Investigator

    • Principal Investigator
      SASAKI Tateaki
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Fundamental theory of informatics
    • Research Institution
      University of Tsukuba
  •  Development of numerical computation brought by spectral theory and geometry

    • Principal Investigator
      ISOZAKI Hiroshi
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      University of Tsukuba
  •  Development of Exhibition on Mathematics for Science Museum

    • Principal Investigator
      ISODA Masami
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Science education
    • Research Institution
      University of Tsukuba
  •  Study of Algorithms and Applications of Approximate AlgebraPrincipal Investigator

    • Principal Investigator
      SASAKI Tateaki
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Fundamental theory of informatics
    • Research Institution
      University of Tsukuba
  •  Global properties of differential operators of subdeterminantal type and integral geometry on symmetric spaces

    • Principal Investigator
      KAKEHI Tomoyuki
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      University of Tsukuba
  •  Study of Algorithms and Applications of Approximate AlgebraPrincipal Investigator

    • Principal Investigator
      SASAKI Tateaki
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      計算機科学
    • Research Institution
      University of Tsukuba
  •  Complex analytic research on purely elliptis singularities

    • Principal Investigator
      WATANABE Kimio
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      University of Tsukuba
  •  Irreducible unitary representation of non compact quantum group SUq(1,1) and its quantum symmetric space

    • Principal Investigator
      MASUDA Tetsuya
    • Project Period (FY)
      1999 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      University of Tsukuba
  •  The Development of Graphing Software for Secondary School MathematicsPrincipal Investigator

    • Principal Investigator
      SASAKI Tateaki, 能田 伸彦
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Science education
    • Research Institution
      University of Tsukuba
  •  数学科テクノロジー利用法開発における東アジア周辺地域共同研究のための企画調査

    • Principal Investigator
      NOHDA Nobuhiko
    • Project Period (FY)
      1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Science education
    • Research Institution
      University of Tsukuba
  •  数学科テクノロジー利用法開発における環太平洋共同研究のための企画調査

    • Principal Investigator
      礒田 正美
    • Project Period (FY)
      1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      教科教育
    • Research Institution
      University of Tsukuba
  •  The Development of Mechatoronics for the Integration of Mathematics, Science and Technology in Education.

    • Principal Investigator
      ISODA Masami
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      教科教育
    • Research Institution
      University of Tsukuba
  •  Study of Algorithms and Applications of Approximate AlgebraPrincipal Investigator

    • Principal Investigator
      SASAKI Tateaki
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      計算機科学
    • Research Institution
      University of Tsukuba
  •  Research on Shrinkage Estimator

    • Principal Investigator
      SUGIURA Nariaki
    • 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
      Japan Woman's University
      University of Tsukuba
  •  小標本受容モデルversus大標本棄却モデル

    • Principal Investigator
      狩野 裕
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      University of Tsukuba
  •  数学の論理的構造

    • Principal Investigator
      本橋 信義
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      University of Tsukuba
  •  群の表現と方程式の研究およびその応用

    • Principal Investigator
      森田 純
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      University of Tsukuba
  •  モデル論における飽和構造の研究

    • Principal Investigator
      坪井 明人
    • 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
      University of Tsukuba
  •  Development of Approximate Algebraic Computation SystemPrincipal Investigator

    • Principal Investigator
      SASAKI Tateaki
    • Project Period (FY)
      1994 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      計算機科学
    • Research Institution
      University of Tsukuba
  •  無限次元代数等の計算支援システムの開発

    • Principal Investigator
      加古 富志雄
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Nara Women's University
  •  多変量推定論と計算機統計学

    • Principal Investigator
      杉浦 成昭
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      University of Tsukuba
  •  無限次元代数等の計算支援システムの開発Principal Investigator

    • Principal Investigator
      佐々木 建昭
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      University of Tsukuba
  •  情報伝達における数学の役割について

    • Principal Investigator
      本橋 信義
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      University of Tsukuba
  •  Feynman amplitudes automatic computation and its application

    • Principal Investigator
      SUGAWARA Hirotaka
    • Project Period (FY)
      1992 – 1994
    • Research Category
      Grant-in-Aid for international Scientific Research
    • Research Institution
      National Laboratory for High Energy Physics
  •  Study of New Phenomena by the Collider LEP at CERN

    • Principal Investigator
      SHIMIZU Yoshimitsu
    • Project Period (FY)
      1991 – 1992
    • Research Category
      Grant-in-Aid for international Scientific Research
    • Research Institution
      National Laboratory for High Energy Physics (KEK)
  •  Development of numeric-algebraic hybrid computation systemPrincipal Investigator

    • Principal Investigator
      SASAKI Tateaki
    • Project Period (FY)
      1991 – 1993
    • Research Category
      Grant-in-Aid for Developmental Scientific Research (B)
    • Research Field
      Informatics
    • Research Institution
      University of Tsukuba
  •  国際数式記号処理学会議(ISSAC-90)開催準備のための総合研究

    • Principal Investigator
      仁木 直人
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for Co-operative Research (B)
    • Research Field
      Informatics
    • Research Institution
      Kyushu University
  •  Study of General Formula Manipulation SystemPrincipal Investigator

    • Principal Investigator
      SASAKI Tateaki
    • Project Period (FY)
      1987 – 1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Informatics
    • Research Institution
      The Institute of Physical and Chemical Research
  •  Research on Formula Manipulation Expert System Based on Database of Mathematical FormulasPrincipal Investigator

    • Principal Investigator
      SASAKI Tateaki
    • Project Period (FY)
      1985 – 1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Informatics
    • Research Institution
      The Institute of Physical and Chemical Research

All 2018 2017 2016 2015 2014 2013 2012 2011 2009 2008 2007 2006 2005 2004 2003

All Journal Article Presentation

  • [Journal Article] 疎な多変数多項式系の高速な変数消去法の探求2018

    • Author(s)
      佐々木建昭, 稲葉大樹
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 印刷中

    • Open Access
    • Data Source
      KAKENHI-PROJECT-15K00005
  • [Journal Article] 疎な多変数多項式剰余列の新算法2018

    • Author(s)
      佐々木建昭
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 印刷中

    • Open Access
    • Data Source
      KAKENHI-PROJECT-15K00005
  • [Journal Article] Simple Relation between the Lowest-order Element of ideal <G,H> and the Last Element of Polynomial Remainder Sequence2018

    • Author(s)
      Tateaki Sasaki, Daiju Inaba
    • Journal Title

      SYNASC 2017 -- 19th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing

      Volume: 印刷中

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15K00005
  • [Journal Article] 拡張Hensel構成による多変数多項式の近似GCD計算とその安定化2017

    • Author(s)
      讃岐勝、稲葉大樹、佐々木建昭
    • Journal Title

      数理解析研究所講究録2019:数式処理の新たな発展

      Volume: 2019 Pages: 18-27

    • Acknowledgement Compliant / Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15K00005
  • [Journal Article] 疎な多変数多項式の拡張Hensel構成算法の再構築2017

    • Author(s)
      佐々木建昭、稲葉大樹
    • Journal Title

      数理解析研究所講究録2019:数式処理の新たな発展

      Volume: 2019 Pages: 3-17

    • Acknowledgement Compliant / Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15K00005
  • [Journal Article] イデアル<G,H>の最低元と剰余列の最終元の簡単な関係2017

    • Author(s)
      佐々木建昭, 稲葉大樹
    • Journal Title

      第46回数値解析シンポジウム予稿集

      Volume: ー Pages: 45-48

    • Data Source
      KAKENHI-PROJECT-15K00005
  • [Journal Article] Computation of GCD of Sparse Multivariate Polynomials by Extended Hensel Construction2016

    • Author(s)
      Masaru Sanuki, Daiju Inaba, Tateaki Sasaki
    • Journal Title

      SYNASC2015 (17th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing)

      Volume: なし Pages: 34-41

    • Acknowledgement Compliant / Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15K00005
  • [Journal Article] Various Enhancements for Extended Hensel Construction of Sparse Multivariate Polynomials2016

    • Author(s)
      Tateaki Sasaki, Daiju Inaba
    • Journal Title

      SYNASC 2016 (18th Intn'l Symposium on Symbolic and Numeric Algorithms for Scientific Computing)

      Pages: 83-86

    • Acknowledgement Compliant / Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15K00005
  • [Journal Article] 拡張Hensel構成のグレブナー基底による効率化2016

    • Author(s)
      佐々木建昭、稲葉大樹
    • Journal Title

      第45回数値解析シンポジウム講演予稿集(NAS2016 Numerical Analysis Symposium 2016))

      Pages: 51-54

    • Open Access
    • Data Source
      KAKENHI-PROJECT-15K00005
  • [Journal Article] Enhancing the Extended Hensel Construction by Using Groebner Bases2016

    • Author(s)
      Tateaki Sasaki, Daiju Inaba
    • Journal Title

      Computer Algebra in Scientific Computing (LNCS 9890)

      Pages: 457-472

    • DOI
      10.1007/978-3-319-45641-6
    • Peer Reviewed / Open Access / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-15K00005
  • [Journal Article] 疎な多変数多項式のGCDと因数分解の効率的算法2015

    • Author(s)
      稲葉大樹, 讃岐勝, 佐々木建昭
    • Journal Title

      数理解析研究所講究録

      Volume: 1955 Pages: 48-61

    • Open Access
    • Data Source
      KAKENHI-PROJECT-15K00005
  • [Journal Article] パラメータ係数の疎な線形方程式系の局所ブロック化による解法2015

    • Author(s)
      佐々木建昭, 稲葉大樹, 加古富志雄
    • Journal Title

      数理解析研究所講究録

      Volume: 1955 Pages: 62-75

    • Open Access
    • Data Source
      KAKENHI-PROJECT-15K00005
  • [Journal Article] On Algebraic Preprocessing of Floating-point DAEs for Numerical Model Simulation2014

    • Author(s)
      Tateaki Sasaki, Testu Yamaguchi
    • Journal Title

      SYNASC 2013: 15th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing

      Volume: なし Pages: 81-89

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Journal Article] A Subresultant-like Theory of Buchberger's Procedure2014

    • Author(s)
      Tateaki Sasaki
    • Journal Title

      Japan J. Indust. Appl. Math.

      Volume: 31 Pages: 137-164

    • DOI
      10.1007/s13160-013-0133-1
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Journal Article] A Subresultant-like Theory of Buchberger's Procedure2014

    • Author(s)
      Tateaki Sasaki
    • Journal Title

      Japan J. Indust. Appl

      Pages: 137-164

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Journal Article] On Algebraic Preprocessing of Floating point DAEs for Numerical Model Simulation2014

    • Author(s)
      Tateaki Sasaki and Tetsu Yamaguchi
    • Journal Title

      SYNASC 2013, IEEE Computer Society

      Pages: 81-88

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Journal Article] Proposal of Singularization of Approximately Singular Polynomial Systems2013

    • Author(s)
      Tateaki Sasaki
    • Journal Title

      SYNASC 2012, IEEE Computer Society

      Pages: 45-52

    • DOI
      10.1109/synasc.2012.28
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Journal Article] Towards Industrial Application of Approximate Computer Algebra2013

    • Author(s)
      Tateaki Sasaki, Daiju Inaba and Fujio Kako
    • Journal Title

      LNCS 3186 : Computer Algebra in Scientific Computing

      Pages: 315-330

    • DOI
      10.1007/978-3-319-02297-0
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Journal Article] Approximately Singular Systems and Ill-conditioned Polynomial Systems2012

    • Author(s)
      Tateaki Sasaki, Daiju Inaba
    • Journal Title

      LNCS 7442 : Computer Algebra in Scientific Computing

      Volume: 7442 Pages: 308-320

    • DOI
      10.1007/978-3-642-32973-9
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Journal Article] A Theory and an Algorithm of Approximate Groebner Basis2012

    • Author(s)
      Tateaki Sasaki
    • Journal Title

      SYNASC 2011, IEEE Computer Society

      Pages: 23-40

    • DOI
      10.1109/synasc.2011.12
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Journal Article] A Study of Hensel Series in General Case2011

    • Author(s)
      Tateaki Sasaki and Daiju Inaba
    • Journal Title

      SNC'11 : Symbolic Numeric Computation, ACM

      Pages: 34-43

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Journal Article] A Study of Hensel Series in General Case2011

    • Author(s)
      Tateaki Sasaki and Daiju Inaba
    • Journal Title

      Proceedings of 2011 International Workshop on Symbolic-Numeric Computation

      Volume: - Pages: 34-43

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Journal Article] 多変数代数関数のTaylor&Hensel級数の収束領域2009

    • Author(s)
      佐々木建昭、稲葉大樹
    • Journal Title

      数理解析研究所考究録 1652

      Pages: 85-92

    • Data Source
      KAKENHI-PROJECT-19300001
  • [Journal Article] Computing clustered close-roots of univariate polynomials2009

    • Author(s)
      Tateaki Sasaki, Akira Terui
    • Journal Title

      Proc.of SNC' 09(Symbolic-Numeric Computation)

      Pages: 177-184

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Journal Article] A practical method for floating-point Groebner basis computation2009

    • Author(s)
      Tateaki Sasaki
    • Journal Title

      Proc.of Joint Conference of ASCM 2009 and MACIS

      Pages: 167-176

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Journal Article] Approximate factorization of polynomials over Z2009

    • Author(s)
      Tateaki Sasaki, Yasutaka Ookura
    • Journal Title

      Proc.of SNC'09(Symbolic-Numeric Computation)

      Pages: 169-176

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Journal Article] Series expansion of multivariate algebraic functions at singular point-nonmonic case-2009

    • Author(s)
      T. Sasaki, D. Inaba
    • Journal Title

      Proc.of Joint Conference of ASCM 2009 and MACIS

      Pages: 177-186

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Journal Article] Approximate factorization of polynomials over Z2009

    • Author(s)
      T. Sasaki, Y. Ookura
    • Journal Title

      Proc.of SNC' 09

      Pages: 169-176

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Journal Article] Convergence and many-valuedness of Hensel series near the expansion point2009

    • Author(s)
      T. Sasaki, D. Inaba
    • Journal Title

      Proc.of SNC' 09

      Pages: 159-167

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Journal Article] Computing clustered close-roots of univariate polynomials2009

    • Author(s)
      T. Sasaki, A. Terui
    • Journal Title

      SNC' 09

      Pages: 177-184

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Journal Article] 悪条件性を推定する浮動小数グレブナー基底の計算法2009

    • Author(s)
      佐々木建昭、加古富志雄
    • Journal Title

      数理解析研究所考究録 1652

      Pages: 33-43

    • Data Source
      KAKENHI-PROJECT-19300001
  • [Journal Article] Series expansion of multivariate algebraic functions at singular point-nonmonic case-2009

    • Author(s)
      佐々木建昭, 稲葉大樹
    • Journal Title

      Proc.of The Joint Conference of ASCM 2009 and MACIS 2009

      Pages: 177-186

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Journal Article] A practical method for floating-point Groebner basis computation2009

    • Author(s)
      佐々木建昭
    • Journal Title

      Proc.of The Joint Conference of ASCM 2009 and MACIS 2009

      Pages: 167-176

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Journal Article] Convergence and many-valuedness of Hensel series near the expansion point2009

    • Author(s)
      佐々木建昭, 稲葉大樹
    • Journal Title

      Proc.of SNC'09(Symbolic-Numeric Computation)

      Pages: 159-167

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Journal Article] Convergence Domain of Series Expansions ofMultivariate Algebraic Functions2008

    • Author(s)
      Tateaki Sasaki, Daiju Inaba
    • Journal Title

      ACM Commun.Computer Algebra 42

      Pages: 127-128

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Journal Article] Computing floating point Groebner basis with ill-conditine dness estimation,2008

    • Author(s)
      T. Sasaki and F. Kako
    • Journal Title

      Proc. Asian Symposium on Computer Mathematics. ASCM2007, LNAI 5081,

      Pages: 278-292

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340034
  • [Journal Article] Floating-point Groebner Basis Computationwith I11-conditionedness Estimation2008

    • Author(s)
      Tateaki Sasaki, Fujio Kako
    • Journal Title

      Computer Mathematics(LNAI5081)

      Pages: 278-292

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Journal Article] Floating-point Groebner base computation with illconditionedness estimation2008

    • Author(s)
      T. Sasaki, F. Kako
    • Journal Title

      LNAI Vol. 5081

      Pages: 278-292

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Journal Article] Tighter bounds of errors of numerical roots2007

    • Author(s)
      T.Sasaki
    • Journal Title

      Japan J. Indus. Appl. Math. Vol. 24(to appaer)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15300002
  • [Journal Article] Tighter bounds of numerical roots2007

    • Author(s)
      Tateaki Sasaki
    • Journal Title

      Japan J. Indus. Appl. Math. 24

      Pages: 219-226

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Journal Article] Computing floating-point Groebner bases stably2007

    • Author(s)
      T. Sasaki, F. Kako
    • Journal Title

      Proc.SNC'07

      Pages: 180-189

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Journal Article] A numerical study of extended Hensel series2007

    • Author(s)
      Daiju Inaba, Tateaki Sasaki
    • Journal Title

      Proceedings of SNC'07(Symb. Numer. Comput.)

      Pages: 103-109

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Journal Article] An algebraic method for separating close-root clusters and the minimum root separation2007

    • Author(s)
      T.Sasaki, F.Kako
    • Journal Title

      Symbolic Numeric Computation Birkhauser

      Pages: 149-166

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15300002
  • [Journal Article] Floating-point Groebner base computation with ill-conditionedness estimation2007

    • Author(s)
      Tateaki Sasaki, Fujio Kako
    • Journal Title

      Proceedings of ASCM'07(Asian Symp. Comp. Math.)

      Pages: 395-409

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Journal Article] Tighter bounds of errors of numerical roots2007

    • Author(s)
      T.Sasaki
    • Journal Title

      Japan J. Indus. Appl. Math. Vol.24(to appear)

    • Data Source
      KAKENHI-PROJECT-15300002
  • [Journal Article] A numerical study of extended Hensel series2007

    • Author(s)
      D. Inaba, T. Sasaki
    • Journal Title

      Proc.SNC'07

      Pages: 103-109

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Journal Article] Extended Hensel construction and behavior of multivariate algebraic functions2007

    • Author(s)
      T.Sasaki, D.Inaba
    • Journal Title

      ACM SIGSAM Bulletin (to appear)

    • Data Source
      KAKENHI-PROJECT-15300002
  • [Journal Article] Computing floating-point Groebner bases stably2007

    • Author(s)
      Tateaki Sasaki, Fujio Kako
    • Journal Title

      Proceedings of SNC'07(Symb. Numer. Comput.)

      Pages: 180-198

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Journal Article] Extended Hensel construction and multivariate algebraic functions2007

    • Author(s)
      T.Sasaki, D.Inaba
    • Journal Title

      Commni. Comp. Algebra (to appaer)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15300002
  • [Journal Article] Extended Hensel construction and multivariate algebraic functions2007

    • Author(s)
      T.Sasaki, D.Inaba
    • Journal Title

      Communi.Comp.Algebra (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15300002
  • [Journal Article] Computing approximate GCDs in ill-conditioned cases2007

    • Author(s)
      M. Sanuki, T. Sasaki
    • Journal Title

      Proc.SNC'07

      Pages: 161-169

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Journal Article] Tighter bounds of errors of numerical roots2007

    • Author(s)
      T. Sasaki
    • Journal Title

      Japan J. Indus. Appl. Math. Vol 24

      Pages: 219-226

    • Data Source
      KAKENHI-PROJECT-18340034
  • [Journal Article] An algebraic method for separating close-root clusters and the minimum root separation2007

    • Author(s)
      T.Sasaki, F.Kako
    • Journal Title

      Symbolic Numeric Computation (Birkhauser)

      Pages: 149-166

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15300002
  • [Journal Article] Tighter bounds of errors of numerical roots2007

    • Author(s)
      T. Sasaki
    • Journal Title

      JJIAM Vol. 24

      Pages: 219-226

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Journal Article] Tighter bounds of errors of numerical roots2007

    • Author(s)
      T.Sasaki
    • Journal Title

      Japan J.Indus.Appl.Math. Vol.24 (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15300002
  • [Journal Article] Computing approximate GCD's in ill-conditioned cases2007

    • Author(s)
      Masaru Sanuki, Tateaki Sasaki
    • Journal Title

      Proceedings of SNC'07(Symb. Numer. Comput.)

      Pages: 170-179

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Journal Article] 多変数多項式に対する新しい因数分解法2006

    • Author(s)
      佐々木建昭, 稲葉大樹
    • Journal Title

      数理解析研究所講究録 1514号

      Pages: 22-28

    • Data Source
      KAKENHI-PROJECT-15300002
  • [Journal Article] 従変数に重みをつけた拡張Hensel構成とNewton多面体2006

    • Author(s)
      小副川健, 佐々木建昭
    • Journal Title

      数理解析研究所講究録 1514号

      Pages: 15-21

    • Data Source
      KAKENHI-PROJECT-15300002
  • [Journal Article] 有理式を要素とする行列式の計算法2006

    • Author(s)
      梅田恭, 佐々木建昭
    • Journal Title

      数理解析研究所講究録 1514号

      Pages: 94-101

    • Data Source
      KAKENHI-PROJECT-15300002
  • [Journal Article] Computing determinants of rational functions2006

    • Author(s)
      Y.Umeda, T.Sasaki
    • Journal Title

      Communi.Comp.Algebra Vol.40

      Pages: 2-8

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15300002
  • [Journal Article] Computing determinants of rational functions2006

    • Author(s)
      Y.Umeda, T.Sasaki
    • Journal Title

      Commin. Comp. Algebra 40

      Pages: 2-8

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15300002
  • [Journal Article] 拡張Hensel構成と多変数代数関数の特異性2006

    • Author(s)
      佐々木建昭, 稲葉大樹, 片町健太郎
    • Journal Title

      数理解析研究所講究録 1514号

      Pages: 1-7

    • Data Source
      KAKENHI-PROJECT-15300002
  • [Journal Article] 近接根クラスタの代数的分離法と最小根間距離2005

    • Author(s)
      佐々木建昭, 加古富士雄
    • Journal Title

      数理解析研究所講究録 No.1456

      Pages: 18-26

    • Data Source
      KAKENHI-PROJECT-15300002
  • [Journal Article] An algebraic method for separating close-root clusters and the minimum, root separation2005

    • Author(s)
      T.Sasaki, F.Kato
    • Journal Title

      Proc.Symb.Numer.Comp.2005

      Pages: 126-143

    • Data Source
      KAKENHI-PROJECT-15300002
  • [Journal Article] 1変数代数方程式の一つの近接根クラスタに含まれる近接根の計算2005

    • Author(s)
      照井章, 佐々木建昭
    • Journal Title

      数理解析研究所講究録 No.1456

      Pages: 27-34

    • Data Source
      KAKENHI-PROJECT-15300002
  • [Journal Article] A theorem for separating close roots of a polynomial and its derivatives2004

    • Author(s)
      T.Sasaki
    • Journal Title

      ACM SIGSAM Bulletin Vol.38

      Pages: 85-92

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15300002
  • [Journal Article] Certification of analytic continuation of algebraic function2004

    • Author(s)
      D.Inaba, T.Sasaki
    • Journal Title

      Proc.of CASC2004

      Pages: 249-260

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15300002
  • [Journal Article] Certification of analytic continuation of algebraic function2004

    • Author(s)
      D.Inaba, T.Sasaki
    • Journal Title

      Proc. CASC 2004 (St. Petersburg)

      Pages: 249-260

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15300002
  • [Journal Article] Approximately singular multivariate polynomials2004

    • Author(s)
      T.Sasaki
    • Journal Title

      Proc.of CASC2004

      Pages: 399-407

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15300002
  • [Journal Article] Certification of analytic continuation of algebraic function2004

    • Author(s)
      D.Inaba, T.Sasaki
    • Journal Title

      Proc.CASC 2004

      Pages: 249-260

    • Data Source
      KAKENHI-PROJECT-15300002
  • [Journal Article] Approximately singular multivariate polynomials2004

    • Author(s)
      T.Sasaki
    • Journal Title

      Proc. CASC 2004 (St. Petersburg)

      Pages: 399-407

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15300002
  • [Journal Article] A theorem for separating close roots of a polynomial and its derivatives2004

    • Author(s)
      T.Sasaki
    • Journal Title

      SIGSAM Bulletin 38

      Pages: 85-92

    • Data Source
      KAKENHI-PROJECT-15300002
  • [Journal Article] A theorem for separating close roots of a polynomial and its derivatives2004

    • Author(s)
      T.Sasaki
    • Journal Title

      ACM SIGSAM Bulletin Vol. 38

      Pages: 85-92

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15300002
  • [Journal Article] Approximately singular multivariate polynomials2004

    • Author(s)
      T.Sasaki
    • Journal Title

      Proc.CASC 2004

      Pages: 399-408

    • Data Source
      KAKENHI-PROJECT-15300002
  • [Journal Article] The subresultant and clusters of close roots2003

    • Author(s)
      T.Sasaki
    • Journal Title

      Proc. ISSAC2003 (ACM)

      Pages: 232-239

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15300002
  • [Journal Article] Lupin : towards the framework of web-based problem solving environments2003

    • Author(s)
      K.Li, M.Sakai, Y.Morizane, K.Kono, M.T.Noda
    • Journal Title

      Proc.of 8th ATCM World Sci.

      Pages: 276-285

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15300002
  • [Journal Article] Lupin : towards the framework of web-based problem solving environments2003

    • Author(s)
      K.Li, M.Sakai, Y.Morizane, K.Kono, M.T.Noda
    • Journal Title

      Proc. of 8th Asian Tech. Conf. Math. (Bangkok)

      Pages: 276-285

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15300002
  • [Journal Article] The subresultant and clusters of close roots2003

    • Author(s)
      T.Sasaki
    • Journal Title

      Proc.ISSAC2003 ACM

      Pages: 232-239

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15300002
  • [Presentation] イデアル<G,H>の最低元と剰余列の最終元の簡単な関係2017

    • Author(s)
      佐々木建昭, 稲葉大樹
    • Organizer
      第46回数値解析シンポジウム
    • Data Source
      KAKENHI-PROJECT-15K00005
  • [Presentation] Simple Relation between the Lowest-order Element of ideal <G,H> and the Last Element of Polynomial Remainder Sequence2017

    • Author(s)
      Tateaki Sasaki, Daiju Inaba
    • Organizer
      19th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K00005
  • [Presentation] な多変数多項式剰余列の新算法2017

    • Author(s)
      佐々木建昭
    • Organizer
      RIMS共同研究 数式処理の新たな発展 - その最新研究と他分野との連携
    • Data Source
      KAKENHI-PROJECT-15K00005
  • [Presentation] 疎な多変数多項式系の高速な変数消去法の探求2017

    • Author(s)
      佐々木建昭, 稲葉大樹
    • Organizer
      RIMS 共同研究 Computer Algebra - Theory and its Applications
    • Data Source
      KAKENHI-PROJECT-15K00005
  • [Presentation] Various Enhancements for Extended Hensel Construction of Sparse Multivariate Polynomials2016

    • Author(s)
      Tateaki Sasaki, Daiju Inaba
    • Organizer
      SYNASC 2016
    • Place of Presentation
      Timisoara,Romania
    • Year and Date
      2016-09-24
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K00005
  • [Presentation] 拡張Hensel構成による多変数多項式の近似GCD計算とその安定化2016

    • Author(s)
      讃岐勝、稲葉大樹、佐々木建昭
    • Organizer
      RIMS共同研究 数式処理の新たな発展 -その最新研究と基礎理論の再構成-
    • Place of Presentation
      京都大学(京都市)
    • Year and Date
      2016-09-07
    • Data Source
      KAKENHI-PROJECT-15K00005
  • [Presentation] Enhancing the Extended Hensel Construction by Using Groebner Bases2016

    • Author(s)
      Tateaki Sasaki, Daiju Inaba
    • Organizer
      18th International Workshop,CASC2016
    • Place of Presentation
      Bucharest,Romania
    • Year and Date
      2016-09-19
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K00005
  • [Presentation] 拡張Hensel構成のグレブナー基底による効率化2016

    • Author(s)
      佐々木建昭、稲葉大樹
    • Organizer
      第45回数値解析シンポジウム
    • Place of Presentation
      鹿児島県 霧島市
    • Year and Date
      2016-06-08
    • Data Source
      KAKENHI-PROJECT-15K00005
  • [Presentation] 疎な多変数多項式の拡張Hensel構成算法の再構築2016

    • Author(s)
      佐々木建昭、稲葉大樹
    • Organizer
      RIMS共同研究 数式処理の新たな発展 -その最新研究と基礎理論の再構成-
    • Place of Presentation
      京都大学(京都市)
    • Year and Date
      2016-09-07
    • Data Source
      KAKENHI-PROJECT-15K00005
  • [Presentation] Enhancing the Extended Hensel Construction by Using Groebner Bases2016

    • Author(s)
      Tateaki Sasaki, Daiju Inaba
    • Organizer
      ISSAC2016
    • Place of Presentation
      Waterloo,Canada
    • Year and Date
      2016-07-19
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K00005
  • [Presentation] 従変数が多い場合の疎な多変数多項式の拡張ヘンゼル構成算法2016

    • Author(s)
      佐々木建昭、稲葉大樹
    • Organizer
      RIMS共同研究 数式処理とその周辺分野の研究
    • Place of Presentation
      京都大学(京都市)
    • Year and Date
      2016-12-07
    • Data Source
      KAKENHI-PROJECT-15K00005
  • [Presentation] "遅延簡約"による浮動小数グレブナー基底の計算2015

    • Author(s)
      佐々木建昭
    • Organizer
      第44回 数値解析シンポジウム
    • Place of Presentation
      ぶどうの丘 (山梨県甲州市)
    • Year and Date
      2015-06-08
    • Data Source
      KAKENHI-PROJECT-15K00005
  • [Presentation] 疎な多変数多項式の拡張ヘンゼル構成の効率的方法2015

    • Author(s)
      佐々木建昭, 稲葉大樹
    • Organizer
      RIMS研究集会「数式処理とその周辺分野の研究」
    • Place of Presentation
      京都大学数理解析研究所 (京都府京都市)
    • Year and Date
      2015-12-02
    • Data Source
      KAKENHI-PROJECT-15K00005
  • [Presentation] Computation of GCD of Sparse Multivariat Polynomials by Extended Hensel Construction2015

    • Author(s)
      Masaru Sanuki, Daiju Inaba, Tateaki Sasaki
    • Organizer
      17th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing
    • Place of Presentation
      West University, Timisoara, Romania
    • Year and Date
      2015-09-21
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K00005
  • [Presentation] 疎な多変数多項式の厳密/近似GCD計算について2015

    • Author(s)
      讃岐勝, 稲葉大樹, 佐々木建昭
    • Organizer
      第44回 数値解析シンポジウム
    • Place of Presentation
      ぶどうの丘 (山梨県甲州市)
    • Year and Date
      2015-06-08
    • Data Source
      KAKENHI-PROJECT-15K00005
  • [Presentation] 浮動小数グレブナー基底の安定的計算に向けて2015

    • Author(s)
      佐々木建昭
    • Organizer
      RIMS研究集会「数式処理とその周辺分野の研究」
    • Place of Presentation
      京都大学数理解析研究所 (京都府京都市)
    • Year and Date
      2015-12-02
    • Data Source
      KAKENHI-PROJECT-15K00005
  • [Presentation] パラメータ係数線形疎多項式系の局所ブロック化による解法2014

    • Author(s)
      佐々木建昭、加古富志雄、稲葉大樹
    • Organizer
      Risa/Asir Conference/2014
    • Place of Presentation
      神戸市、神戸大学
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] パラメータ係数線形疎方程式系の局所ブロック化による解法2014

    • Author(s)
      佐々木建昭, 加古富志雄, 稲葉大樹
    • Organizer
      Risa/Asir Conference 2014
    • Place of Presentation
      神戸市
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] Hensel級数の応用を目指して --航空機の制御を例に--2013

    • Author(s)
      佐々木建昭, 稲葉大樹
    • Organizer
      Risa/Asir Conference 2013
    • Place of Presentation
      神戸大学滝川記念会館(神戸市)
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] Hensel 級数の応用を目指して-- 航空機の制御を例に--2013

    • Author(s)
      佐々木建昭, 稲葉大樹
    • Organizer
      Risa/Asir Conference 2013
    • Place of Presentation
      神戸市
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] On Algebraic Preprocessing of Floating-point DAEs for Numerical Model Simulation2013

    • Author(s)
      Tateaki Sasaki and Tetsu Yamaguchi
    • Organizer
      15th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing
    • Place of Presentation
      Timisoara, Romania
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] 産業計算における近似代数の有用性2013

    • Author(s)
      佐々木建昭, 稲葉大樹, 加古富志雄
    • Organizer
      RIMS研究集会「数式処理とその周辺分野の研究」
    • Place of Presentation
      京都市
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] 産業計算における近似代数の有用性2013

    • Author(s)
      佐々木建昭、稲葉大樹、加古富志雄
    • Organizer
      RIMS研究集会;数式処理とその周辺分野の研究
    • Place of Presentation
      京都市、京都大学
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] Towards Industrial Application of Approximate Computer Algebra2013

    • Author(s)
      Tateaki Sasaki, Daiju Inaba and Fujio Kako
    • Organizer
      15th Int'l Workshop on Computer Algebra in Scientific Computing
    • Place of Presentation
      Berlin, Germany
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] 近似代数の産業応用を目指して2013

    • Author(s)
      佐々木建昭、稲葉大樹、加古富志雄
    • Organizer
      第42回数値解析シンポジウム
    • Place of Presentation
      松山市、道後温泉道後館
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] 摂動で乱れた多変数多項式系の矯正2013

    • Author(s)
      佐々木建昭
    • Organizer
      第42回数値解析シンポジウム
    • Place of Presentation
      松山市
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] 摂動で乱れた多変数多項式系の矯正2013

    • Author(s)
      佐々木建昭
    • Organizer
      第42回数値解析シンポジウム
    • Place of Presentation
      松山市、道後温泉道後館
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] On Algebraic Preprocessing of Floating point DAEs for Numerical Model Simulation2013

    • Author(s)
      Tateaki Sasaki and Tetsu Yamaguchi
    • Organizer
      15th Int'l Symposium on Symbolic and Numeric Algorithms for Scientific Computing
    • Place of Presentation
      Timisoara, Rumania
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] パラメータ入りの連立線形方程式の誤差低減法2013

    • Author(s)
      佐々木建昭, 山口哲
    • Organizer
      RIMS 研究集会「数式処理とその周辺分野の研究」
    • Place of Presentation
      京都市
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] 近似代数の産業応用を目指して2013

    • Author(s)
      佐々木建昭, 稲葉大樹, 加古富志雄
    • Organizer
      第42回数値解析シンポジウム
    • Place of Presentation
      松山市
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] パラメータ入りの連立線形方程式の誤差低減法2013

    • Author(s)
      佐々木建昭、山口 哲
    • Organizer
      RIMS研究集会;数式処理とその周辺分野の研究
    • Place of Presentation
      京都市、京都大学
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] 近似特異系と悪条件連立代数方程式2012

    • Author(s)
      佐々木建昭, 稲葉大樹
    • Organizer
      第41回数値解析シンポジウム
    • Place of Presentation
      渋川市
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] Proposal of Singularization of Approximately Singular Polynomial Systems2012

    • Author(s)
      Tateaki Sasaki
    • Organizer
      14th Int'l Symposium on Symbolic and Numeric Algorithms for Scientific Computing
    • Place of Presentation
      Timisoara, Rumania
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] 近似特異系と悪条件連立代数方程式2012

    • Author(s)
      佐々木建昭、稲葉大樹
    • Organizer
      Risa/Asir Conference 2012
    • Place of Presentation
      神戸大学理学部(神戸市)
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] 過酷事故に陥った航空機の制御を目指して --多変数べき級数根の利用--2012

    • Author(s)
      佐々木建昭, 稲葉大樹
    • Organizer
      RIMS研究集会「数式処理 --その研究と目指すもの--」
    • Place of Presentation
      京都大学数理解析研究所(京都市)
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] 近似特異系と悪条件連立代数方程式2012

    • Author(s)
      佐々木建昭, 稲葉大樹
    • Organizer
      第41回数値解析シンポジウム
    • Place of Presentation
      伊香保温泉よろこびの宿(群馬県渋川市)
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] 近似特異系と悪条件連立代数方程式2012

    • Author(s)
      佐々木建昭, 稲葉大樹
    • Organizer
      Risa/Adir Conference 2011
    • Place of Presentation
      神戸市
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] Proposal of singularization of approximately singular polynomial systems2012

    • Author(s)
      Tateaki Sasaki
    • Organizer
      14th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing
    • Place of Presentation
      Timisoara (Romania)
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] Approximately singular systems and ill-conditioned polynomial systems2012

    • Author(s)
      Tateaki Sasaki, Daiju Inaba
    • Organizer
      14th International Workshop on Computer Algebra in Scientific Computing
    • Place of Presentation
      Maribor (Slovenia)
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] 近似特異系の特異化 --摂動で乱れた多項式系の矯正--2012

    • Author(s)
      佐々木建昭
    • Organizer
      RIMS研究集会「数式処理 --その研究と目指すもの--」
    • Place of Presentation
      京都大学数理解析研究所(京都市)
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] 過酷事故に陥った航空機の制御を目指して-- 多変数べき級数根の利用 --2012

    • Author(s)
      佐々木建昭, 稲葉大樹
    • Organizer
      RIMS 研究集会「数式処理 -- その研究と目指すもの」
    • Place of Presentation
      京都市
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] 近似特異系の特異化-- 摂動で乱れた系の矯正 --2012

    • Author(s)
      佐々木建昭
    • Organizer
      RIMS 研究集会「数式処理 -- その研究と目指すもの」
    • Place of Presentation
      京都市
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] Approximately Singular Systems and Ill-conditioned Polynomial Systems2012

    • Author(s)
      Tateaki Sasaki, Daiju Inaba and Fujio Kako
    • Organizer
      14th Int'l Workshop on Computer Algebra in Scientific Computing
    • Place of Presentation
      Maribor, Slovenia
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] A Theory and An Algorithm of Approximate Groebner Bases2011

    • Author(s)
      Tateaki Sasaki
    • Organizer
      13th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing
    • Place of Presentation
      West University of Timisoara (Romania)
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] 近似グレブナー基底の二つの応用2011

    • Author(s)
      佐々木建昭
    • Organizer
      数理解析研究所研究集会ー数式処理、その研究と目指すもの
    • Place of Presentation
      京都大学数理解析研究所(京都市)
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] 近似グレブナー基底の理論と算法2011

    • Author(s)
      佐々木建昭
    • Organizer
      第40回数値解析シンポジウム
    • Place of Presentation
      鳥羽市
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] Approximate Groebner Bases and Two Applications2011

    • Author(s)
      Tateaki Sasaki
    • Organizer
      Fields Institute Workshop on Hybrid Methodologies for Symbolic-Numeric Computation(招待講演)
    • Place of Presentation
      The University of Waterloo (Canada)
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] 近似グレブナー基底の二つの応用2011

    • Author(s)
      佐々木建昭
    • Organizer
      RIMS 研究集会「数式処理 -- その研究と目指すもの」
    • Place of Presentation
      京都市
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] A Study of Hensel Series in General Case2011

    • Author(s)
      Tateaki Sasaki and Daiju Inaba
    • Organizer
      2011 International Workshop on Symbolic-Numeric Computation
    • Place of Presentation
      San Jose Convention Center (USA)
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] A Study of Hensel Series in General Case2011

    • Author(s)
      Tateaki Sasaki and Daiju Inaba
    • Organizer
      2011 Int'l workshop on Symbolic Numeric Computation
    • Place of Presentation
      San Jose, USA
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] A Theory and an Algorithm of Approximate Groebner Basis2011

    • Author(s)
      Tateaki Sasaki
    • Organizer
      13th Int'l Symposium on Symbolic and Numeric Algorithms for Scientific Computing
    • Place of Presentation
      Timisoara, Rumania
    • Data Source
      KAKENHI-PROJECT-23500003
  • [Presentation] Computing clustered close-roots of univariate polynomials2009

    • Author(s)
      Tateaki Sasaki, Akira Terui
    • Organizer
      2009 Intern'l Workshop on Symbolic-Numeric Computation
    • Place of Presentation
      Coop-Inn Kyoto(京都)
    • Year and Date
      2009-08-05
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Presentation] 多変数代数関数の特異点での級数展開-数値解析の夢に向けて-2009

    • Author(s)
      佐々木建昭
    • Organizer
      第38回数値解析シンポジウム
    • Place of Presentation
      熱川ハイツ(伊豆熱川)
    • Year and Date
      2009-06-16
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Presentation] 浮動小数グレブナー基底の実際的計算法2009

    • Author(s)
      佐々木建昭
    • Organizer
      京都大学数理解析研究所研究集会
    • Place of Presentation
      京都大学(京都)
    • Year and Date
      2009-11-05
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Presentation] 多変数代数関数の特異点での級数展開-非モニックな場合-2009

    • Author(s)
      佐々木建昭, 稲葉大樹
    • Organizer
      京都大学数理解析研究所研究集会
    • Place of Presentation
      京都大学(京都)
    • Year and Date
      2009-11-04
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Presentation] Series expansion of multivariate algebraic functions at singular point(invited)2009

    • Author(s)
      佐々木建昭
    • Organizer
      1^<st> PRIMA Congress(The Pacific Rim Mathematical Association)
    • Place of Presentation
      New South Wales大学(Sydney)
    • Year and Date
      2009-07-09
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Presentation] A practical method for floating-point Groebner basis computation2009

    • Author(s)
      佐々木建昭
    • Organizer
      The Joint Conference of ASCM 2009 and MACIS 2009
    • Place of Presentation
      JALホークホテル(福岡)
    • Year and Date
      2009-12-17
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Presentation] Approximate factorization of polynomials over Z2009

    • Author(s)
      Tateaki Sasaki, Yasutaka Ookura
    • Organizer
      2009 Intern'l Workshop on Symbolic-Numeric Computation
    • Place of Presentation
      Coop-Inn Kyoto(京都)
    • Year and Date
      2009-08-03
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Presentation] Series expansion of multivariate algebraic functions at singular point-nonmonic case-2009

    • Author(s)
      佐々木建昭, 稲葉大樹
    • Organizer
      The Joint Conference of ASCM 2009 and MACIS 2009
    • Place of Presentation
      JALホークホテル(福岡)
    • Year and Date
      2009-12-14
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Presentation] Convergence and many-valuedness of Hensel series near the expansion point2009

    • Author(s)
      佐々木建昭, 稲葉大樹
    • Organizer
      2009 Intern'l Workshop on Symbolic-Numeric Computation
    • Place of Presentation
      Coop-Inn Kyoto(京都)
    • Year and Date
      2009-08-03
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Presentation] Z上多項の近似因数分解の試み2008

    • Author(s)
      佐々木建昭
    • Organizer
      数理研研究集会
    • Place of Presentation
      京都
    • Year and Date
      2008-11-27
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Presentation] Multivariate Hensel Construction in Roots2008

    • Author(s)
      Tateaki Sasaki, Daiju Inaba
    • Organizer
      Intern'l Symposium on Applications for Computer Algebra 2008
    • Place of Presentation
      Linz, Austria
    • Year and Date
      2008-07-31
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Presentation] Hensel級数の収束性と多価性について2008

    • Author(s)
      佐々木建昭、稲葉大樹
    • Organizer
      数理研研究集会
    • Place of Presentation
      京都
    • Year and Date
      2008-11-25
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Presentation] 浮動小数グレブナー基底の悪条件性2008

    • Author(s)
      佐々木建昭、甲斐博
    • Organizer
      数理研研究集会
    • Place of Presentation
      京都
    • Year and Date
      2008-11-25
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Presentation] Convergence domain of multivariate algebraic function2008

    • Author(s)
      T. Sasaki and D. Inaba
    • Organizer
      International Sympsium on Symbolic and Algebraic computation
    • Place of Presentation
      Linz (Austria)
    • Year and Date
      2008-07-21
    • Data Source
      KAKENHI-PROJECT-18340034
  • [Presentation] Multivariate Hensel construction in roots2008

    • Author(s)
      佐々木建昭、稲葉大樹
    • Organizer
      Risa-Asir Conference 2008
    • Place of Presentation
      神戸市、神戸大学
    • Year and Date
      2008-03-20
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Presentation] Recent advancements in multivariate Hensel construction2008

    • Author(s)
      T. Sasaki
    • Organizer
      Conference on Milestone in Computer Algebra
    • Place of Presentation
      Trinidad-Tobago
    • Year and Date
      2008-05-02
    • Data Source
      KAKENHI-PROJECT-18340034
  • [Presentation] 悪条件性を推定する浮動小数グレブナー基底の計算法2008

    • Author(s)
      佐々木建昭、加古富志雄
    • Organizer
      第39回数値解析シンポジウム
    • Place of Presentation
      角館
    • Year and Date
      2008-06-14
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Presentation] On Ill-conditionedness of Floating-point Groebner Bases2008

    • Author(s)
      Tateaki Sasaki, Hiroshi Kai
    • Organizer
      Intern'l Symposium on Applications for Computer Algebra 2008
    • Place of Presentation
      Linz, Austria
    • Year and Date
      2008-07-29
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Presentation] A numerical study of extended Hensel series2007

    • Author(s)
      Daiju Inaba, Tateaki Sasaki
    • Organizer
      Intern'l Workshop on Symbolic-Algebraic Computation
    • Place of Presentation
      Western Ontario Univ., Canada
    • Year and Date
      2007-07-25
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Presentation] Floating-point Groebner base computation with ill-conditionedness estimation2007

    • Author(s)
      Tateaki Sasaki, Fujio Kako
    • Organizer
      Asian Symposium on Computer Mathematics
    • Place of Presentation
      Singapore
    • Year and Date
      2007-12-15
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Presentation] Computing floating-point Groebner bases stably2007

    • Author(s)
      Tateaki Sasaki, Fujio Kako
    • Organizer
      Intern'l Workshop on Symbolic-Numeric Computation
    • Place of Presentation
      Western Ontario Univ., Canada
    • Year and Date
      2007-07-25
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Presentation] Floating-point Groebner base computation with ill-conditionedness estimation2007

    • Author(s)
      Tateaki Sasaki, Fujio Kako
    • Organizer
      Intern'l Symposium on Symbolic and Algebraic Computation, Poster Session
    • Place of Presentation
      Waterloo Univ., Canada
    • Year and Date
      2007-06-30
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Presentation] 拡張Hensel級数の数値的研究2007

    • Author(s)
      稲葉大樹、佐々木建昭
    • Organizer
      第36回数値解析シンポジウム
    • Place of Presentation
      熱海市湯河原
    • Year and Date
      2007-06-20
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Presentation] 悪条件性を推定する浮動小数グレブナー基底の計算法2007

    • Author(s)
      佐々木建昭、加古冨志雄
    • Organizer
      数理解析研究所研究集会
    • Place of Presentation
      京都市、数理解析研究所
    • Year and Date
      2007-11-09
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Presentation] 浮動小数グレブナー基底の計算法2007

    • Author(s)
      佐々木建昭
    • Organizer
      第36回数値解析シンポジウム
    • Place of Presentation
      熱海市湯河原
    • Year and Date
      2007-06-20
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Presentation] Computation of approximate GCD's in ill-conditioned cases2007

    • Author(s)
      Masaru Sanuki, Tateaki Sasaki
    • Organizer
      Intern'l Workshop on Symbolic-Numeric Computation
    • Place of Presentation
      Western Ontario Univ., Canada
    • Year and Date
      2007-06-24
    • Data Source
      KAKENHI-PROJECT-19300001
  • [Presentation] 多変数代数関数のTaylor & Hensel級数の収束領域2007

    • Author(s)
      佐々木建昭、稲葉大樹
    • Organizer
      数理解析研究所研究集会
    • Place of Presentation
      京都市、数理解析研究所
    • Year and Date
      2007-11-09
    • Data Source
      KAKENHI-PROJECT-19300001
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