Tanaka Toshifumi 田中利史

… Alternative Names

TANAKA Toshihumi 田中利史

TANAKA Tanaka 田中利史

田中利史タナカトシフミ

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Researcher Number	60396851
Other IDs
Affiliation (Current)	2025: 岐阜大学, 教育学部, 教授
Affiliation (based on the past Project Information) *help	2016 – 2023: 岐阜大学, 教育学部, 准教授 2011 – 2013: 岐阜大学, 教育学部, 准教授 2007: Osaka City University, 大学院・理学研究科, 博士研究員 2006: 大阪市立大学, 大学院理学研究科, 博士研究員 2005: 東京大学, 大学院・数理科学研究科, 研究拠点形成特任研究員
Review Section/Research Field	Principal Investigator Geometry / Basic Section 11020:Geometry-related Except Principal Investigator Geometry / Basic Section 09070:Educational technology-related
Keywords	Principal Investigator リボン結び目 / 対称和 / 曲面 / 結び目 / スライス結び目 / 量子不変量 / 微分構造 / 本質的曲面 / 位相幾何学 / 国際情報交流（韓国） … More / 国際情報交換（韓国） / 結び目コボルディズム / 体積予想 / ジョーンズ多項式 / 結び目理論 / スケイン理論 / エキゾチック構造 / スライス種数 / Casson ハンドル / Thurston-Bennequin不変量 / Rasmussen不変量 / Khovanovホモロジー / Kauffman多項式 … More Except Principal Investigator トポロジー / 結び目理論 / 位相的データ解析（TDA） / AL / マルチメディア / アクティブラーニング / アートと数学 / グラフ理論 / L-S理論 / 位相的データ解析 / STEAM教育 / 生物 / 化学 / 物理 / 位相幾何 / 領域選択ゲーム / 可積分系 / 双曲幾何 / 数理モデル / 空間グラフ / 3次元多様体 Less

A characterization of a ribbon knot and its presentation by making use of a surfacePrincipal Investigator
- Principal Investigator
  
  田中利史
- Project Period (FY)
  2022 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Gifu University
Invitation to deep learning of mathematics by multimedia and AL and verification of its effectiveness
- Principal Investigator
  
  SAKAI Michihiro
- Project Period (FY)
  2021 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 09070:Educational technology-related
- Research Institution
  Kurume National College of Technology
Symmetric unions and essential surfacesPrincipal Investigator
- Principal Investigator
  
  Tanaka Toshifumi
- Project Period (FY)
  2019 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Gifu University
A characterization of a ribbon knot with property of surfaces in the knot complementPrincipal Investigator
- Principal Investigator
  
  Tanaka Toshifumi
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Gifu University
Studies of knot theory and their applications
- Principal Investigator
  
  KAWAUCHI Akio
- Project Period (FY)
  2012 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
Study on topological properties of quantum invariants concerning to knot cobordismPrincipal Investigator
- Principal Investigator
  
  TANAKA Toshifumi
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Gifu University
Studies of Knot Theory
- Principal Investigator
  
  KAWAUCHI Akio
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
スケイン理論及び基本群の表現論を用いた量子不変量の研究Principal Investigator
- Principal Investigator
  
  田中利史
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
  The University of Tokyo

[Book] トポロジー入門2005
- Author(s)
  田中利史, 村上斉
- Total Pages
  216
- Publisher
  サイエンス社
- Data Source
  KAKENHI-PROJECT-17740031
[Journal Article] The amphicheiral 2-bridge knots with symmetric union presentations2024
- Author(s)
  Toshifumi Tanaka
- Journal Title
  
  Bulletin of the Korean Mathematical Society
  
  Volume: 61 Pages: 421-431
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K03310
[Journal Article] 分子グラフを用いた中学生向けの早期STEAM教育用数学教材の開発と実践2024
- Author(s)
  酒井道宏, 田中利史
- Journal Title
  
  工学教育
  
  Volume: 72-3 Pages: 44-49
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-21K02765
[Journal Article] On symmetric unions and alternating knots2024
- Author(s)
  Toshifumi Tanaka
- Journal Title
  
  岐阜大学教育学部研究報告（自然科学）
  
  Volume: 48 Pages: 1-5
- Open Access
- Data Source
  KAKENHI-PROJECT-22K03310
[Journal Article] A practice of deep learning by knot theory and DNA2023
- Author(s)
  Michihiro Sakai, Toshifumi Tanaka
- Journal Title
  
  Proceedings of ISATE 2022, the 15th International Symposium on Advances in Technology Education
  
  Volume: なし Pages: 306-310
- Data Source
  KAKENHI-PROJECT-21K02765
[Journal Article] The symmetric ribbon number of knots with symmetric union presentations2023
- Author(s)
  Tanaka, Toshifumi
- Journal Title
  
  岐阜大学教育学部研究報告（自然科学）
  
  Volume: 47 Pages: 1-5
- Open Access
- Data Source
  KAKENHI-PROJECT-22K03310
[Journal Article] On the symmetry of composite ribbon knots2023
- Author(s)
  Tanaka, Toshifumi
- Journal Title
  
  Topology and its Applications
  
  Volume: 326 Pages: 108417-108417
- DOI
  10.1016/j.topol.2023.108417
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K03310
[Journal Article] A formula for the Jones polynomial of symmetric unions2022
- Author(s)
  Tanaka, Toshifumi
- Journal Title
  
  岐阜大学教育学部研究報告（自然科学）
  
  Volume: 46 Pages: 1-6
- Open Access
- Data Source
  KAKENHI-PROJECT-19K03465
[Journal Article] On satellite knots with symmetric union presentations2021
- Author(s)
  Tanaka, Toshifumi
- Journal Title
  
  Osaka J. Math.
  
  Volume: 58 Pages: 685-696
- NAID
  120007124662
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03465
[Journal Article] On equivalence of symmetric union presentations for ribbon knot2021
- Author(s)
  Tanaka, Toshifumi
- Journal Title
  
  J. Knot Theory Ramifications
  
  Volume: 30 Issue: 08
- DOI
  10.1142/s0218216521500589
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03465
[Journal Article] On Fox colorings of symmetric unions2021
- Author(s)
  Toshifumi Tanaka
- Journal Title
  
  岐阜大学教育学部研究報告（自然科学）
  
  Volume: 45 Pages: 11-14
- NAID
  120007044380
- Open Access
- Data Source
  KAKENHI-PROJECT-19K03465
[Journal Article] On composite knots with symmetric union presentations2019
- Author(s)
  田中利史
- Journal Title
  
  Journal of Knot Theory and Its Ramifications
  
  Volume: 28 Issue: 10 Pages: 1-22
- DOI
  10.1142/s0218216519500652
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03465
[Journal Article] ON THE JONES POLYNOMIAL OF SYMMETRIC UNIONS WITH TWO COMPONENTS2019
- Author(s)
  TOSHIFUMI TANAKA
- Journal Title
  
  岐阜大学教育学部研究報告（自然科学）
  
  Volume: 43 Pages: 13-19
- NAID
  120006604439
- Data Source
  KAKENHI-PROJECT-16K05145
[Journal Article] On the number of p-colorings of knots2018
- Author(s)
  Shou Mizuguchi, Toshifumi Tanaka
- Journal Title
  
  岐阜大学教育学部研究報告（自然科学）
  
  Volume: 42 Pages: 9-13
- NAID
  120006462608
- Open Access
- Data Source
  KAKENHI-PROJECT-16K05145
[Journal Article] The region index and the unknotting number of a knot2017
- Author(s)
  Toshifumi Tanaka
- Journal Title
  
  Topology and its Applications
  
  Volume: 219 Pages: 141-151
- DOI
  10.1016/j.topol.2017.01.012
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-16K05145
[Journal Article] Signed Gordian distances, the Jones polynomial and Rasmussen invariant of knots2014
- Author(s)
  Tanaka, Toshifumi
- Journal Title
  
  岐阜大学教育学部研究報告（自然科学）
  
  Volume: 38 Pages: 5-14
- NAID
  110009864345
- Data Source
  KAKENHI-PROJECT-23740046
[Journal Article] Signed Gordian distances, the Jones polynomial and Rasmussen invariant of knots2014
- Author(s)
  Tanaka, Toshifumi
- Journal Title
  
  岐阜大学教育学部研究報告(自然科学)
  
  Volume: 第38巻 Pages: 5-14
- NAID
  110009864345
- Data Source
  KAKENHI-PROJECT-23740046
[Journal Article] Positive knots and Rasmussen's invariant2013
- Author(s)
  Tanaka, Toshifumi
- Journal Title
  
  岐阜大学教育学部研究報告(自然科学)
  
  Volume: 第37巻 Pages: 1-5
- NAID
  110009559095
- Data Source
  KAKENHI-PROJECT-23740046
[Journal Article] Positive knots and Rasmussen's invariant2013
- Author(s)
  田中利史
- Journal Title
  
  岐阜大学教育学部研究報告（自然科学）
  
  Volume: 37 Pages: 1-5
- NAID
  110009559095
- Data Source
  KAKENHI-PROJECT-23740046
[Journal Article] An infinite family of prime satellite knots with the same Alexander polynomial2012
- Author(s)
  Tanaka, Toshifumi
- Journal Title
  
  岐阜大学教育学部研究報告(自然科学)
  
  Volume: 第36巻 Pages: 1-4
- NAID
  110009422749
- Data Source
  KAKENHI-PROJECT-23740046
[Journal Article] AN INFINITE FAMILY OF CASSON HANDLES AND THE RASMUSSEN INVARIANT OF A KNOT2011
- Author(s)
  田中　利史
- Journal Title
  
  Journal of Knot Theory and its Ramifications
  
  Volume: 20 Pages: 1229-1236
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740046
[Journal Article] An infinite family of prime satellite knots with the same Alexander polynomial2011
- Author(s)
  田中　利史
- Journal Title
  
  岐阜大学教育学部研究報告（自然科学）
  
  Volume: 36 Pages: 1-4
- NAID
  110009422749
- Data Source
  KAKENHI-PROJECT-23740046
[Journal Article] An infinite family of Casson handles and the Rasmussen invariant of a knot2011
- Author(s)
  Toshifumi Tanaka
- Journal Title
  
  J. Knot Theory Ramifications
  
  Volume: Vol.20 Issue: 09 Pages: 1229-1236
- DOI
  10.1142/s0218216511009297
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21244005
[Journal Article] AN INFINITE FAMILY OF CASSON HANDLES AND THE RASMUSSEN INVARIANT OF A KNOT2011
- Author(s)
  Tanaka, Toshifumi
- Journal Title
  
  J. Knot Theory Ramifications
  
  Volume: 20, no.9 Pages: 1229-1236
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740046
[Journal Article] ON TABULATION OF MUTANTS2007
- Author(s)
  A. Stoimenow, 田中利史
- Journal Title
  
  Knots and Everything 40
  
  Pages: 299-306
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17740031
[Journal Article] Maximal Thurston-Bennequin numbers of alternating links2006
- Author(s)
  田中利史
- Journal Title
  
  Topology and its Applications 153巻
  
  Pages: 2476-2483
- Data Source
  KAKENHI-PROJECT-17740031
[Journal Article] On the Jones polynomial of ribbon knots2005
- Author(s)
  田中利史
- Journal Title
  
  Journal of Knot Theory and its Ramifications 14巻・1号
  
  Pages: 1-2
- Data Source
  KAKENHI-PROJECT-17740031
[Journal Article] Maximal Thurston-Bennequin numbers of alternating links
- Author(s)
  田中利史
- Journal Title
  
  Topology and its Applications (印刷中)
- Data Source
  KAKENHI-PROJECT-17740031
[Presentation] On amphicheiral knots with symmetric union presentations2023
- Author(s)
  Toshifumi Tanaka
- Organizer
  Knots and Spatial Graphs 2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03310
[Presentation] On the symmetry of ribbon knots2023
- Author(s)
  Toshifumi Tanaka
- Organizer
  Topology and Geometry of Low-Dimensional Manifolds 2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03310
[Presentation] On quasi-alternating knots with symmetric union presentations2023
- Author(s)
  Toshifumi Tanaka
- Organizer
  拡大KOOKセミナー2023
- Data Source
  KAKENHI-PROJECT-22K03310
[Presentation] 分子グラフを用いた中学生向けの数学教材の提案2023
- Author(s)
  酒井道宏, 田中利史
- Organizer
  数学教育学会2023年度秋季例会
- Data Source
  KAKENHI-PROJECT-21K02765
[Presentation] Composite symmetric unions and ribbon knots2022
- Author(s)
  田中利史
- Organizer
  金沢トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K03310
[Presentation] On equivalence of symmetric union presentations for ribbon knot2021
- Author(s)
  田中利史
- Organizer
  拡大KOOKセミナー 2021
- Data Source
  KAKENHI-PROJECT-19K03465
[Presentation] On knots and links with symmetric union presentations2020
- Author(s)
  Toshifumi Tanaka
- Organizer
  拡大KOOKセミナー 2020
- Data Source
  KAKENHI-PROJECT-19K03465
[Presentation] Symmetric unions and essential tori2020
- Author(s)
  田中利史
- Organizer
  Knots and Spatial Graphs 2020
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03465
[Presentation] On satellite knots with symmetric union presentations2019
- Author(s)
  田中利史
- Organizer
  トポロジーとコンピュータ2019
- Data Source
  KAKENHI-PROJECT-19K03465
[Presentation] 結び目の対称和とその性質について2019
- Author(s)
  田中利史
- Organizer
  岐阜大学トポロジーセミナー
- Data Source
  KAKENHI-PROJECT-16K05145
[Presentation] On composite symmetric unions2017
- Author(s)
  Toshifumi Tanaka
- Organizer
  ４次元トポロジー
- Data Source
  KAKENHI-PROJECT-16K05145
[Presentation] On the region index and the unknotting number of a knot2017
- Author(s)
  Toshifumi Tanaka
- Organizer
  Friday Seminar on Knot Theory
- Invited
- Data Source
  KAKENHI-PROJECT-16K05145
[Presentation] On composite knots with symmetric union presentations2016
- Author(s)
  田中利史
- Organizer
  拡大KOOKセミナー2016
- Place of Presentation
  大阪電気通信大学
- Data Source
  KAKENHI-PROJECT-16K05145
[Presentation] On the maximal Thurston-Bennequin number for knots in a Legendrian graph2013
- Author(s)
  田中利史
- Organizer
  E－KOOKセミナー
- Place of Presentation
  大阪市立大学学術情報センター
- Data Source
  KAKENHI-PROJECT-23740046
[Presentation] On the maximal Thurston-Bennequin number for knots in a Legendrian graph2013
- Author(s)
  田中利史
- Organizer
  研究集会「E-KOOKセミナー」
- Place of Presentation
  大阪市立大学学術情報センター
- Data Source
  KAKENHI-PROJECT-23740046
[Presentation] On the maximal Thurston-Bennequin number for knots in a spatial graph2013
- Author(s)
  田中利史
- Organizer
  日本数学会トポロジー分科会
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-23740046
[Presentation] On the Jones polynomial of knots with symmetric union presentations2013
- Author(s)
  田中利史
- Organizer
  The 9th East Asian School of Knots and Related Topics
- Place of Presentation
  東京大学大学院数理科学研究科
- Data Source
  KAKENHI-PROJECT-23740046
[Presentation] On slice knots and smooth 4-manifolds2013
- Author(s)
  Tanaka, Toshifumi
- Organizer
  第6回日本―メキシコ位相数学合同シンポジウム
- Place of Presentation
  島根大学
- Data Source
  KAKENHI-PROJECT-23740046
[Presentation] On the maximal Thurston-Bennequin number for knots in a spatial graph2013
- Author(s)
  田中利史
- Organizer
  日本数学会
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-23740046
[Presentation] On the Jones polynomial of knots with symmetric union presentations2013
- Author(s)
  田中利史
- Organizer
  研究集会「The 9th East Asian School of Knots and Related Topics」
- Place of Presentation
  東京大学大学院数理科学研究科
- Data Source
  KAKENHI-PROJECT-23740046
[Presentation] On slice knots and smooth 4-manifolds2013
- Author(s)
  田中利史
- Organizer
  第6回日本―メキシコ位相数学合同シンポジウム(同時開催)
- Place of Presentation
  島根大学
- Data Source
  KAKENHI-PROJECT-23740046
[Presentation] On the Thurston-Bennequin number of Legendrian graphs2012
- Author(s)
  田中　利史
- Organizer
  研究集会「接触構造・特異点・微分方程式およびその周辺」(招待講演)
- Place of Presentation
  鹿児島大学理学部
- Data Source
  KAKENHI-PROJECT-23740046
[Presentation] On the Thurston-Bennequin number of Legendrian graphs2012
- Author(s)
  田中利史
- Organizer
  研究集会「接触構造・特異点・微分方程式およびその周辺」
- Place of Presentation
  鹿児島大学理学部
- Data Source
  KAKENHI-PROJECT-23740046
[Presentation] On symmetry of the Jones polynomial of ribbon knots2011
- Author(s)
  田中利史
- Organizer
  The 3rd KOOK-TAPU Joint Seminar on Knot Theory and Related Topics
- Place of Presentation
  大阪市立大学
- Data Source
  KAKENHI-PROJECT-23740046
[Presentation] On symmetry of the Jones polynomial of ribbon knots2011
- Author(s)
  田中利史
- Organizer
  The 3rd KOOK. TAPU Joint Seminar on Knot Theory and Related Topics
- Place of Presentation
  大阪市立大学
- Year and Date
  2011-07-26
- Data Source
  KAKENHI-PROJECT-21244005

1. KAWAUCHI Akio (00112524)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
2. KANENOBU Taizo (00152819)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
3. IWAKIRI Masahide (10453127)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. MORIUCHI Hiromasa (20453128)

# of Collaborated Projects: 2 results

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5. TAYAMA Ikuo (00382036)

# of Collaborated Projects: 2 results

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6. SAKUMA Makoto (30178602)

# of Collaborated Projects: 2 results

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7. NAKANISHI Yasutaka (70183514)

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8. KAMADA Seiichi (60254380)

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9. TERAGAITO Masakazu (80236984)

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10. TANIYAMA Kouki (10247207)

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11. MOTEGI Kimihiko (40219978)

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12. OOYAMA Toshiyuki (80223981)

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13. GOUDA Hiroshi (60266913)

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14. SHIMOKAWA Koya (60312633)

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15. SATOU Shin (90345009)

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16. YAMAMOTO Ryousuke (80445006)

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17. HASHIMOTO Yoshitake (20271182)

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18. MASUDA Mikiya (00143371)

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19. CHON Inde (30587788)

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20. KISHIMOTO Kengo (70587774)

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21. OTSUKI Tomotada (50223871)

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22. SHIMIZU Ayaka (40638764)

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23. SAKAI Michihiro (90353276)

# of Collaborated Projects: 1 results

# of Collaborated Products: 3 results

Tanaka Toshifumi 田中 利史

TANAKA Toshihumi 田中 利史

TANAKA Tanaka 田中 利史

田中 利史 タナカ トシフミ

Research Projects

Research Products

Co-Researchers

A characterization of a ribbon knot and its presentation by making use of a surfacePrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Invitation to deep learning of mathematics by multimedia and AL and verification of its effectiveness

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Symmetric unions and essential surfacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

A characterization of a ribbon knot with property of surfaces in the knot complementPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Studies of knot theory and their applications

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study on topological properties of quantum invariants concerning to knot cobordismPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Studies of Knot Theory

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

スケイン理論及び基本群の表現論を用いた量子不変量の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Book] トポロジー入門2005

Author(s)

Total Pages

Publisher

Data Source

[Journal Article] The amphicheiral 2-bridge knots with symmetric union presentations2024

Author(s)

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[Journal Article] 分子グラフを用いた中学生向けの早期STEAM教育用数学教材の開発と実践2024

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[Journal Article] The symmetric ribbon number of knots with symmetric union presentations2023

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Tanaka Toshifumi 田中利史

TANAKA Toshihumi 田中利史

TANAKA Tanaka 田中利史

田中利史タナカトシフミ