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10/18 LT swiftで楕円曲線郡を作る

Avatar for Shoma Saito Shoma Saito
October 18, 2017
Technology
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10/18 LT swiftで楕円曲線郡を作る

Avatar for Shoma Saito

Shoma Saito

October 18, 2017
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Transcript

  1. -5 ΍ͬͺ4XJGUͰ਺ֶ͠Α͏ͥ 4XJGUJO.BUIFNBUJDT 1ZUIPOͱ͔)BTLFMMͱ͔-JTQͱ͔+4ͱ͔΍Βͳ͍Ͱ

  2. ͳΜͰ4XJGUͰ਺ֶʁ

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  4. ᷉͸଍͠ࢉɺЂ͸ֻ͚ࢉ

  5. None

  6. ਺ֶʹ͍ۙॻ͖ํ͕Ͱ͖Δͷ͸ɺͳΜ͍ͯ͏͔ɺ͍͢͝

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  8. ܊ɾ؀ɾମ ΛQSPUPDPMΛ࢖ͬͯදݱ͢Δ

  9. ܊ɾ؀ɾମͱ͸ ܊ ؀ ମ ʴ ʵ ͕ग़དྷΔू߹ ʴ ʵ ʷ

    ͕ग़དྷΔू߹ ʴ ʵ ʷ ʸ ͕ग़དྷΔू߹ ੔਺ɺ༗ཧ਺ɺ࣮਺ʜ ੔਺ɺ༗ཧ਺ɺ࣮਺ʜ ϕΫτϧۭؒ͸શͯՃ๏܈ ਖ਼ํߦྻɺଟ߲ࣜɺ࣮਺஋ؔ਺ ༗ཧ਺ɺ࣮਺ɺෳૉ਺ʜ (SPVQɾ3JOHɾ'JFME .BUIFNBUJDT

  10. ܊

  11. ؀

  12. ମ

  13. ༗ཧ਺ମΛ࡞ͬͯΈΔ

  14. ༗ཧ਺ମΛ࡞ͬͯΈΔ

  15. ༗ཧ਺ମΛ࡞ͬͯΈΔ Ͱ͖ͨ

  16. ପԁۂઢ܊Λ࡞ͬͯΈΔ ପԁۂઢ͸ପԁۂઢ҉߸ʹ࢖ΘΕ͍ͯΔࣹӨ୅਺ۂઢͰɺ͠Ύ͖ͽɻ y2 = x3 + a x + b

  17. ପԁۂઢ܊Λ࡞ͬͯΈΔ ପԁۂઢ҉߸ͳʹ͕͍͔͢͝ ͷࣾ಺ษڧձʹͯ

  18. ପԁۂઢ܊Λ࡞ͬͯΈΔ ପԁۂઢ͸Ճ๏܈ͳͷͰɺ"EEJUJWF(SPVQͷΈ࣮૷͢Δ

  19. ପԁۂઢ܊Λ࡞ͬͯΈΔ

  20. ପԁۂઢ܊Λ࡞ͬͯΈΔ

  21. ପԁۂઢ܊Λ࡞ͬͯΈΔ

  22. ·ͱΊ w 4XJGU͠Ύ͍͝ w ପԁۂઢ͠Ύ͍͝