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Sunday Math Party vol. 8 - Beyond Notation

Avatar for IWABUCHI Yu(u)ki butchi IWABUCHI Yu(u)ki butchi
January 07, 2017
Research
160
0

Sunday Math Party vol. 8 - Beyond Notation

第8回 日曜数学会「記数法の彼方に」

記数法を研究を続けた結果、有限値より大きな値を表す記数法（いわば「無限進数」）は多項式の世界であることがわかりました。

Avatar for IWABUCHI Yu(u)ki butchi

IWABUCHI Yu(u)ki butchi

January 07, 2017

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Transcript

  1. ه਺๏ͷ൴ํʹ ೔༵਺ֶձ ؠ෵༐थ!CVUDIJ@Z

  2. ࣗݾ঺հ — ؠ෵༐थ *8"#6$)*:V V LJ  —  ۚ୔େֶࣗવՊֶݚڀՊमྃ —  ത࢜ʢ޻ֶʣ

    —  ໘ന๏ਓΧϠοΫٕज़෦ɾਓࣄ෦ —  ଔݚͰಠࣗͷه਺๏ ʮ෺ஐ਺ʯΛݚڀ

  3. ಥવͰ͕͢ʜ — ͨ͢͸ʙʁ

  4. ಥવͰ͕͢ʜ — ͨ͢͸ʙʁ 2!

  5. ಥવͰ͕͢ʜ — ͨ͢͸ʙʁ 2!

  6. ಥવͰ͕͢ʜ — ͨ͢͸ʙʁ ∞

  7. ϐμϋϯ଒ͷ࿩ —  ϐμϋϯ଒͕࿩͢ϐμϋϯޠ —  ਺ࣈ͸ʮʯʮʯ͔͠ͳ͍ —  ͦͷ࣍͸ʮ͍ͬͺ͍ʯ http://maru67bettencourt.blog82.fc2.com/blog-entry-1385.html

  8. ͓அΓ —  ʮ㱣ʯͱ͍͏දݱʹ͸ޠฐ͕͋ΔͷͰ ԾʹʮYʯͱஔ͖·͢ɻ

  9. ਐ਺ʙ 㱣ͷੈքʙ —  ʹΛ଍͢ 1

  10. ਐ਺ʙ 㱣ͷੈքʙ —  ɻ 1

  11. ਐ਺ʙ 㱣ͷੈքʙ —  ʹΛ଍͢ 1

  12. ਐ਺ʙ 㱣ͷੈքʙ —  ͜Ε͸ଘࡏ͠ͳ͍ 1

  13. ਐ਺ʙ 㱣ͷੈքʙ —  Φʔόʔϑϩʔͯ͠ ͜͜ʹඈͿ 1 x

  14. ਐ਺ʙ 㱣ͷੈքʙ —  Yɻ 1 x

  15. ਐ਺ʙ 㱣ͷੈքʙ —  Y ɻ 1 x

  16. ਐ਺ʙ 㱣ͷੈքʙ —  Φʔόʔϑϩʔ 1 x

  17. ਐ਺ʙ 㱣ͷੈքʙ —  ·ͨΦʔόʔϑϩʔ 1 x x2

  18. ਐ਺ʙ 㱣ͷੈքʙ —  Yɻ 1 x x2

  19. ਐ਺ʙ 㱣ͷੈքʙ —  ͞Βʹ଍͢ͱ Y ɻ 1 x x2

  20. ਐ਺ʙ 㱣ͷੈքʙ —  Y Y  —  ͱ͸͍͑ɺ݁ہYͳͷͰɺ ͭ·Γ͸ 

      ͱɺ਺஋ԽͰ͖Δ 1 x x2 x3 x4 x5

  21. ਐ਺ʙ 㱣ͷੈքʙ —  ͔Βͷελʔτ 1

  22. ਐ਺ʙ 㱣ͷੈքʙ —  ଍ͤΔ 1

  23. ਐ਺ʙ 㱣ͷੈքʙ —  ଍ͤΔ 1

  24. ਐ਺ʙ 㱣ͷੈքʙ —  ଍ͤΔ 1

  25. ਐ਺ʙ 㱣ͷੈքʙ —  Φʔόʔϑϩʔ 1 x

  26. —  Ұؾʹඈ༂͠·͢ɻ

  27. ແݶਐ਺ ͷੈք —  ਺͑੾Εͳ͍ͱ͜ΖͰ Φʔόʔϑϩʔ 1 x めっちゃ 大きい数

  28. ͜͜͸ ͦ͏ɺه਺๏ͷ൴ํɻ

  29. ແݶڃ਺ —  ౳ൺڃ਺ͷ΍ͭ —  ແݶྻΛ؆ܿͳࣜͰදͤΔʂ 1 x x2 x3 x4

    x5

  30. ৞ΈࠐΈ —  FYY YY —  ৐ࢉ͕ͦͷ··৞ΈࠐΈʹͳΔ —  ·͞ʹʮ৞ΈࠐΈੵʯ 1 x

    x2 x3 x4 x5 1 x x2 x3 x4 x5 1 x x2 x3 x4 x5 × =

  31. ඍ෼ —  ඍ෼΋ੵ෼΋৐ࢉͰղܾ —  ๻ͷܭࢉ͕ਖ਼͚͠Ε͹ɺ MPH Y  ͷ৐ࢉ͕ඍ෼ɺ ͦͷٯ਺ͷ৐ࢉʢʹআࢉʣ͕ੵ෼ɻ

  32. ༑ਓʹ૬ஊ —  ʮ ɹ͋ΕɺͦΕʹࣅͨදݱํ๏Λ ɹ஌ͬͯΔʯ

  33. ͦΕ͸ʮ฼ؔ਺ʯͩͬͨ —  ͓͓ɺఆٛ·Μ·͡ΌΜʂ

  34. ͜ͷຊʹࡌͬͯ·͢ ʢࠓ೔͖࣋ͬͯ·ͨ͠ʣ

  35. ͔͠͠ʜ —  ฼ؔ਺͸ଟ߲ࣜͷYOಉ࢜ʹؔ࿈ੑ͕ ͋Δ͜ͱ͸͍ࣔࠦͯ͠ͳ͍ —  YOʹେখؔ܎ΛಋೖͰ͖Δ ਺ֶతʹ۷ΓԼ͛ΔՁ஋͋Γʁ

  36. ͦ΋ͦ΋ —  ʮϋΠύʔϦϯΫʯͱ͍͏ࢥ૝ —  ΑΓ਺ֶతʹࣗવͳ ܭࢉػΞʔΩςΫνϟʔΛߟ͑ͨ຤ɺ ࢥ͍͍ͭͨ਺දݱ

  37. ల๬ —  ΦϒδΣΫτදه —  ৴߸ॲཧ΁ͷԠ༻ —  ܭࢉػͷݪཧ΁ͷԠ༻

  38. ͋͞ɺߦ͜͏ɻ ه਺๏ͷ൴ํʹ