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The Analysis on the Fractal Sets

Research Project

Project/Area Number 01540205
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionRyukoku University

Principal Investigator

YAMAGUTI Masaya  Ryukoku University, Professor, 理工学部, 教授 (30025796)

Co-Investigator(Kenkyū-buntansha) IKEDA Shigero  Ryukoku University, Professor, 理工学部, 教授 (20028070)
NAKAMURA Hiroshi  Ryukoku University, Professor, 理工学部, 教授 (90198234)
OKADA Yoshihiro  Ryukoku University, Lecturer, 理工学部, 講師 (30127063)
高橋 大輔  龍谷大学, 理工学部, 講師 (50188025)
池田 勉  龍谷大学, 理工学部, 教授 (50151296)
Project Period (FY) 1989 – 1991
Project Status Completed (Fiscal Year 1991)
Budget Amount *help
¥1,800,000 (Direct Cost: ¥1,800,000)
Fiscal Year 1991: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1990: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1989: ¥600,000 (Direct Cost: ¥600,000)
KeywordsFractal / Chaos / Wavelet / Self-Organization / Fatigue / ウエ-ブレット / シャウダ-展開
Research Abstract

We studied to get some application of the analysis on Fractal Set developed by Yamaguti, Hata and kigami.
Y.Okada exploited some methods to form a pattern classification of some expert system for documents.
H.Nakamura investigated about the fatigue of metallic materials in High Speed trains.
S.Ikeda have done many researches on the photo emission studies in several complexes in Aqueous Solutions.
Anyway, we could not reach to get some unified view for new mathematics.

Report

(4 results)
  • 1991 Annual Research Report   Final Research Report Summary
  • 1990 Annual Research Report
  • 1989 Annual Research Report
  • Research Products

    (50 results)

All Other

All Publications (50 results)

  • [Publications] 山口 昌哉,山田 道夫: "ウェーブレット解析" 「科学」. 398-405 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 山口 昌哉: "新しい応用数学と技術" 「計測と制御」. 29. 449-458 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 山口 昌哉,吉原 英昭,西田 孝明: "微分方程式による保証付き数値計算" 「情報処理」. 31. 1197-1203 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 山口 昌哉,守本 晃: "ウェーブレットとその応用について" 「応用数理」. 1. 202-213 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 岡田 至弘,坂井 利之: "文書パターンを対象とする自己組織化情報の抽出" 「Obase 92'コンソーシアム」. (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 中村 宏: "車軸の疲労寿命の研究についての感想" 「車両と機械」. 4. (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 中村 宏,中村 林二郎: "安全性の考え方" 「材料別冊」. 41. 280-286 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 中村 宏,堀川 武,浦部 和順: "アルナセラミックスの表面性状と強度" 「材料」. 41. (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] S.Ikeda,T.Ninomiya,S.Namura,K.Taniguchi: "Anomalous Peak Intensity in EXAFS Fourier Transforms for Polynuclear Molybdates" 「Physica B」. 158. (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] S.Ikeda,T.Miyanaga,K.Yokoi,I.Watanabe,N.Matsubayashi: "Studies on the Structure of the Paramagnetic μ-oxo Dimer of Molybdenum(v) in Hydrochloric and Solution by EXAFS" 「Polyhedron」. 8. (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] S.Ikeda,T.Ninomiya,S.Nomura,K.Tanighchi: "Quantitative Analysis of Arsenic Element in a Trace of Water Using Total Reflection X-Ray Fluorescence Spectrometry" 「Advances in X-Ray Analysis」. 32. (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] S.Ikeda,T.Miyanaga,K.Yokoi,T.Fujikawa,N.Matsubayashi,I.Watanabe,T.Fukumoto: "Anomalous Peak Intensities in the EXAFS of Polynuclear Molybdenum Compounds" 「Bull.Chem.Soc.Jpn.,」. 62. (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 池田 重良: "オージェ電子分光と表面微量元素分布の分析" 「機器分析テキスト」. (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] S.Ikeda: "Impurity Analysis of Silicon Wafer by Monochromatic TRXRF" 「39th Dever Annual Conference of X-Ray Analysis」. (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] S.Ikeda,S.Yamashita,K.Murata,E.Yamamoto: "Extraction of Molybdenum(vI)from Aqueous Solution by Donor Solvent" 「Polyhedron」. 9. (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] S.Ikeda,I.Watanabe,T.Miyanaga: "Structure of Hydrated Titanium and Vandium Ion in Aqueous Solutions Studied by X-Ray Absorption Spectroscopy" 「Bull.Chem.Soc.Jpn.,」. 63. (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] S.Ikeda,K.Nishihagi,N.Fujino,K.Taniguchi,N.Yamashita: "Impurity Analysis of Silicon Wafer Using Monochro-TREX" 「Advance in X-Ray Analysis」. 34. (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] S.Ikeda,I.Watanabe,K.Ono: "Photoelectron Emission Study of Iron(II) and Cobalt(II) Complexes in Aqueous Solution.Reorganization Energies" 「Bull.Chem.Soc.Jpn.,」. 64. 352-357 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] S.Ikeda,N.Ogawa,K.Yokoi,I.Watanabe: "Electrochemical Reduction of Nitrate Ion at Mercury Electrodes in the Presence of Alkaline-Earth Metal Ions" 「DENKIKAGAKU」. 60. 26-31 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 山口 昌哉: "カオスとフラクタル入門" 日本放送教育出版協会, 152 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] S.Ikeda, T.Ninomiya, S.Namura, K.Taniguchi: "Anomalous Peak Intensity in EXAFS Fourier Transforms for Polynuclear Molybdates" Physica B. Vol. 158. (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] S.Ikeda, T.Miyanaga, K.Yokoi, I.Watanabe, N.Matsubayashi: "Studies on the Structure of the Paramagnetic mu-oxo Dimer of Molybdenum(v) in Hydrochloric and Solution by EXAFS" Polyhedron. Vol. 8. (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] S.Ikeda, T.Ninomiya, S.Nomura, K.Taniguchi: "Quantitative Analysis of Arsenic Element in a Trace of Water Using Total Reflection X-Ray Fluorescence Spectrometry" Advances in X-Ray Analysis. Vol. 32. (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] S.Ikeda, T.Miyanaga, T.Fujikawa, K.Yokoi, I.Watanabe, T.Fukumoto, N.Matsubayashi: "Anomalous Peak Intensities in the EXAFS of Polynuclear Molybdenum Compounds" Bull.Chem.Soc.Jpn.Vol. 62. (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] S.Ikeda: "Impurity Analysis of Silicon Wafer by Monochromatic TRXRF" 39th Dever Annual Conference of X-Ray Analysis. (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] S.Ikeda, S.Yamashita, K.Murata, E.Yamamoto: "Extraction of Molybdenum(vI) from Aqueous Solution by Donor Solvent" Polyhedron. Vol. 9. (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] S.Ikeda, I.Watanabe, T.Miyanaga: "Structure of Hydrated Titanium and Vandium Ion in Aqueous Solutions Studied by X-Ray Absorption Spectroscopy" Bull.Chem.Soc.Jpn.Vol. 63. (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] S.Ikeda, K.Nishihagi, N.Fujino, K.Taniguchi, N.Yamashita: "Impurity Analysis of Silicon Wafer Using Monochro-TREX" Advance in X-Ray Analysis. Vol. 34. (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] S.Ikeda, I.Watanabe, K.Ono: "Photoelectron Emission Study of Iron(II) and Cobalt(II) Complexes in Aqueous Solution. Reorganization Energies" Bull.Chem.Soc.Jpn.Vol. 64. (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] S.Ikeda, N.Ogawa, K.Yokoi, I.Watanabe: "Electrochemical Reduction of Nitrate Ion at Mercury Electrodes in the Presence of Alkaline-Earth Metal Ions" DENKIKAGAKU. Vol. 60. (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] M.Yamaguti: Nippon Housou Kyouiku Shuppan. Introduction to Chaos and Fractals, (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 山口 昌哉,守本 晃: "ウエ-ブレットとその応用について" 応用数理(岩波書店). 1ー3. 2-13 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 守本 晃: "再分割法によるシミュレ-ションについて" シミュレ-ション&ゲ-ミング (共立出版). 2ー1. 29-37 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] Hiroe Oka: "Singular perturbation ofr autonomous ordinary differential equations and heteroclinic bifurcations" III Escuela International de Sistemas Dinamicos. (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] 中村 林二郎,中村 宏: "安全性の考え方 新幹線とその管理を例として" J.Soc.Mat.Sci.Japan. 41ー461. 280-286 (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] Hiroshi Kokubu,Yasumasa Nishiura,Hiroe Oka: "Heteroclinic and Homoclinic bifurcations in bistable reaction diffusion systems" J.Differential Equations. 86-2. 260-341 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] Hiroe Oka: "Singular perturbation for certain types of ordinary differential equations and heteroclinic bifurcation" Proceedings of International Symposium on functional Differential Equations. 291-300 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 山口 昌哉: "カオスとフラクタル入門" 放送大学, 200 (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] 山口 昌哉・吉原 英昭・西田 孝明: "微分方程式に対する保証付き数値計算" 情報処理. 31ー9. 1197-1203 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 山口 昌哉: "新しい応用数学と技術" 計測と制御. 29ー5. 449-458 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 山口 昌哉・山田 道夫: "ウェ-ブレット解析" 科学. 398-405 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] Masaya Yamaguti: "Schauder expansion by some quadratic base function" J.Fac.Sci.Univ.Tokyo.Sect.IA,Math.36ー2. 187-191 (1989)

    • Related Report
      1990 Annual Research Report
  • [Publications] Masaya Yamaguti: "Some remarks on Dirichlit problems of Poisson equation" J.L.Lion教授60才記念論文集GautierーVillard書店. 465-471 (1988)

    • Related Report
      1990 Annual Research Report
  • [Publications] Masaya Yamaguti: "Schauder expension by some quadratic base function" IMA Preprint Series 329,Institute for Mathematics Its Application. 1-6 (1987)

    • Related Report
      1990 Annual Research Report
  • [Publications] Masaya Yamaguri: "Schauder expansion by some quadratic base function" Journal of the Faculty of Science.the University of Tokyo. ser IA vol 36. 187-191 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] T.lkeda,M.Nakamura and T.Nagai: "Propagation of Excited State and Its Failure in a Simple Model of Myelinated Nerve Axons" Japan J.Appl.Math.6. 367-408 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] H.Sakane,I.Watanabe and S.lkeda: "EXAFS and XANES Spectra of Cobalt(III)EDTA Complexes in Solid and Solutions" Bull.Chem.Soc.Japan. 62. 1513-1516 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] 岡田至弘,空一弘,坂井利之: "対象物と背景とに適応的な色量子化手法" 画像電子学会誌. 16-5. 313-323 (1987)

    • Related Report
      1989 Annual Research Report
  • [Publications] 星実泰,中村宏,長井道幸: "回転曲の2段多重応力変動装置の開発とそれを用いた二、三の実験結果" 材料. 39. 58 (1990)

    • Related Report
      1989 Annual Research Report
  • [Publications] N.Kawano,W.-M.Ni and S.Yotsutani: "A Generalized Pohozaev ldentity and Its Applications" J.Math.Soc.Japan. (1990)

    • Related Report
      1989 Annual Research Report

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Published: 1989-04-01   Modified: 2016-04-21  

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