ゼータ関数に愛を込めて #ニコニコ学会 / 20160326

"第8回ニコニコ学会データ研究会" の発表資料です。
http://yuzutas0.hatenablog.com/entry/2016/03/31/073000 に補足を掲載しています。

Transcript

1. θʔλؔ਺ʹѪΛࠐΊͯ 
 2016-Mar-26
 χίχίֶձβ σʔλݚڀձɹfeat. ೔༵਺ֶձ presented by @yuzutas0
 http://www.maths.tcd.ie/pub/HistMath/People/Riemann/Zeta/EZeta.pdf 
2. @yuzutas0 
 ɹΏΊʢເʣΛ
 ɹͣͬͱ
 ɹ͍ͨͤͭʢେ੾ʣʹ͍͍ͯͨ͠
 ɹͦΕ͕ʮΏͣͨͦʯ ɹࣗݾ঺հ 
3. ਺ֶͱσʔλݚڀ
 ”ເ”ͷڞԋΛ͓ݟͤ͠·͢
 
4. ɹ࠶ܝ θʔλؔ਺ʹѪΛࠐΊͯ 
 2016-Mar-26
 χίχίֶձβ σʔλݚڀձɹfeat. ೔༵਺ֶձ presented by @yuzutas0
 http://www.maths.tcd.ie/pub/HistMath/People/Riemann/Zeta/EZeta.pdf 
5. ɹ͜Ε͕ѪΛࠐΊͨθʔλؔ਺ͩʂ Big contents Small contents 
6. Կ͕ҧ͏͔ʁ
 
7. ɹWhat’s the Difference? 
 
 
 
 ɹී௨ͷθʔλؔ਺ɹɹvsɹɹѪ͕ͭ·ͬͨθʔλؔ਺ 
8. ɹWhat’s the Difference? 
 
 
 
 ɹී௨ͷθʔλؔ਺ɹɹvsɹɹѪ͕ͭ·ͬͨθʔλؔ਺ 
9. ɹWhat’s the Difference? 
 
 
 
 ɹී௨ͷθʔλؔ਺ɹɹvsɹɹѪ͕ͭ·ͬͨθʔλؔ਺ 
10. ɹWhat’s the Difference? 
 
 
 
 ɹී௨ͷθʔλؔ਺ɹɹvsɹɹѪ͕ͭ·ͬͨθʔλؔ਺ 
11. ɹWhat’s the Difference? 
 
 
 
 ɹී௨ͷθʔλؔ਺ɹɹvsɹɹѪ͕ͭ·ͬͨθʔλؔ਺ 
12. ɹWhat’s the Difference? 
 
 
 
 ɹී௨ͷθʔλؔ਺ɹɹvsɹɹѪ͕ͭ·ͬͨθʔλؔ਺ 
13. ɹWhat’s the Difference? 
 
 
 
 ɹී௨ͷθʔλؔ਺ɹɹvsɹɹѪ͕ͭ·ͬͨθʔλؔ਺ 
14. ɹWhat’s the Difference? 
 
 
 
 ɹී௨ͷθʔλؔ਺ɹɹvsɹɹѪ͕ͭ·ͬͨθʔλؔ਺ 
15. ɹWhat’s the Difference? 
 
 
 
 ɹී௨ͷθʔλؔ਺ɹɹvsɹɹѪ͕ͭ·ͬͨθʔλؔ਺ 
16. ɹWhat’s the Difference? 
 
 
 
 ɹී௨ͷθʔλؔ਺ɹɹvsɹɹѪ͕ͭ·ͬͨθʔλؔ਺ 
17. ɹWhat’s the Difference? 
 
 
 
 ɹී௨ͷθʔλؔ਺ɹɹvsɹɹѪ͕ͭ·ͬͨθʔλؔ਺ 
18. ɹWhat’s the Difference? 
 
 
 
 ɹී௨ͷθʔλؔ਺ɹɹvsɹɹѪ͕ͭ·ͬͨθʔλؔ਺ 
19. ʮѪʯ(ͰGoogleݕࡧͯ͠ώοτͨ͠ը૾)
 ͕ࠐΊΒΕ͍ͯΔ
 
20. ɹʢ࠶ܝʣ͜Ε͕ѪΛࠐΊͨθʔλؔ਺ͩʂ Big contents Small contents 
21. ɹ࠶ܝ θʔλؔ਺ʹѪΛࠐΊͯ 
 2016-Mar-26
 χίχίֶձβ σʔλݚڀձɹfeat. ೔༵਺ֶձ presented by @yuzutas0
 http://www.maths.tcd.ie/pub/HistMath/People/Riemann/Zeta/EZeta.pdf 
22. × θʔλؔ਺ͷ࿩
 
 ˕ ѪΛ͜ΊΔ࿩ 
 ʲPRʳʲ೔༵਺ֶʳθʔλؔ਺ͷັྗΛ࠶֬ೝ͍ͨ͠ํ͸
 http://tsujimotter.hatenablog.com/entry/riemann-zeta-function 
23. × θʔλؔ਺ͷ࿩
 
 ˕ ѪΛ͜ΊΔ࿩
 ˠϞβΠΫըͷ࡞Γํ 
 ʲPRʳʲ೔༵਺ֶʳθʔλؔ਺ͷັྗΛ࠶֬ೝ͍ͨ͠ํ͸
 http://tsujimotter.hatenablog.com/entry/riemann-zeta-function 
24. ɹϞβΠΫըͱݺͼ·͢ 
25. ɹϞβΠΫըͷ࡞Γํ  ᶃσʔλ ऩू 
 ᶆσʔλ ग़ྗ 
 ᶅσʔλ ൑அ 
 ᶄσʔλ Ճ޻ 

26. ͍ͭ΋ͷσʔλݚڀͱಉ͡ʂ ɹϞβΠΫըͷ࡞Γํ 
27. ɹϞβΠΫըͷ࡞Γํ  ᶃσʔλ ऩू 
 ᶆσʔλ ग़ྗ 
 ᶅσʔλ ൑அ 
 ᶄσʔλ Ճ޻ 

28. ɹ ඞཁͳը૾͸2छྨ ର৅ { target }ɹɹɹɹɹɹɹɹཁૉ { element } 
29. ɹର৅ͱͳΔը૾ {target_image} Λ༻ҙ จॻπʔϧͰ਺ࣜΛ࡞੒ͯ͠ը૾ग़ྗ 
30. ɹཁૉͱͳΔը૾܈ {element_images} Λ༻ҙ Googleը૾ݕࡧΛεΫϨΠϐϯά 
31. ɹϞβΠΫըͷ࡞Γํ  ᶃσʔλ ऩू 
 ᶆσʔλ ग़ྗ 
 ᶅσʔλ ൑அ 
 ᶄσʔλ Ճ޻ 
 Done
32. ɹ৭ͷ਺஋Խ͕ϙΠϯτ ϞϊΫϩ → ໌҉ 0 - 255 
 Χϥϑϧ → RGB ͦΕͧΕ 0 - 255 
33. ɹ֤Pixelͷ৭Λநग़ / ϕΫτϧԽ { target }  White
 255 Black
 0
34. ɹը૾ͷ੔ܗ { element } 1. ਺ࣜͷը૾ʹ߹Θͤͯ άϨʔεέʔϧ
 2. ਖ਼ํܗͱͳΔΑ͏ʹ ϦαΠζ /τϦϛϯά 
35. ֤ը૾ͷฏۉ৭Λநग़ / ϕΫτϧԽ { element }  ന
 255 փ
 180
36. ɹ2ͭͷϕΫτϧΛ४උ ᶃର৅ {target_image}
 →֤Pixel ͕Կ৭͔  ᶄཁૉ {element_images} 
 →֤ը૾ͷฏۉ৭͕Կ৭͔
37. ɹϞβΠΫըͷ࡞Γํ  ᶃσʔλ ऩू 
 ᶆσʔλ ग़ྗ 
 ᶅσʔλ ൑அ 
 ᶄσʔλ Ճ޻ 
 Done Done
38. ɹ૊Έ߹ΘͤͷϚοϐϯά 
39. ɹ૊Έ߹ΘͤͷϚοϐϯά  ന͍Pixelʹ͸
 നͬΆ͍ը૾Λ ࠇ͍Pixelʹ͸
 ࠇͬΆ͍ը૾Λ
40. ɹઌ΄Ͳ࡞ͬͨ2ͭͷϕΫτϧ ᶃର৅ {target_image}
 →֤Pixel ͕Կ৭͔  ᶄཁૉ {element_images} 
 →֤ը૾ͷฏۉ৭͕Կ৭͔
41. ɹϕΫτϧΛൺֱ → ૊Έ߹ΘͤΛ࠷దԽ  pixel (1,1) element 1 pixel (25,16) pixel (3,29) element 42 element 23
42. ɹҰൠతʹ͸ ৭ϕΫτϧRGBʢ0ʙ255ͷ࣮਺ʣ Ͱදݱ͞ΕΔ3࣍ݩۭؒʹ͓͍ͯ
 ϢʔάϦουڑ཭ͷ࿨ʢܭࢉ্͸ޡࠩೋ৐࿨ʣ Λ࠷খԽ͢ΔΑ͏ͳ
 {target_image} ͷ pixel ͱ {element_images} ͷ
 ૊Έ߹ΘͤΛٻΊΔ 
 {target_image} ͷpixel਺ͱ {element_images} ͷݸ਺͕߹Θͳ͚Ε͹
 K-meansͳͲͷΞϧΰϦεϜ or ᮢ஋ܾΊଧͪͰ ྨࣅ৭ΛΫϥε෼ྨͯ͠૊Έ߹ΘͤΔ 
43. ɹҰൠతʹ͸ ৭ϕΫτϧRGBʢ0ʙ255ͷ࣮਺ʣ Ͱදݱ͞ΕΔ3࣍ݩۭؒʹ͓͍ͯ
 ϢʔάϦουڑ཭ͷ࿨ʢ΋͘͠͸ޡࠩೋ৐࿨ʣ Λ࠷খԽ͢ΔΑ͏ͳ
 {target_image} ͷ pixel ͱ {element_images} ͷ
 ૊Έ߹ΘͤΛٻΊΔ 
 {target_image} ͷpixel਺ͱ {element_images} ͷݸ਺͕߹Θͳ͚Ε͹
 K-meansͳͲͷΞϧΰϦεϜ or ᮢ஋ܾΊଧͪͰ ྨࣅ৭ΛΫϥε෼ྨͯ͠૊Έ߹ΘͤΔ  ͋ ͱ Ͱ ಡ ΜͰ Ͷ ʂ Slide Share ͔ Speaker Deck ʹ Ξ ο ϓ ϩ ʔ υ ͠ · ͢
44. ɹϞβΠΫըͷ࡞Γํ  ᶃσʔλ ऩू 
 ᶆσʔλ ग़ྗ 
 ᶅσʔλ ൑அ 
 ᶄσʔλ Ճ޻ 
 Done Done Done
45. ɹ{element_images} Λ݁߹ͯ͠ॻ͖ग़͢ 
46. ɹϞβΠΫըͷ࡞Γํ  ᶃσʔλ ऩू 
 ᶆσʔλ ग़ྗ 
 ᶅσʔλ ൑அ 
 ᶄσʔλ Ճ޻ 
 Done Done Done Done
47. ɹ࠶ܝ 
 
 
 
 ɹී௨ͷθʔλؔ਺ɹɹvsɹɹѪ͕ͭ·ͬͨθʔλؔ਺ 
48. ɹ·ͱΊ 
 σʔλݚڀͷॳา Λֶ΂Δ / ϏδϡΞϧ Ͱָ͠ΊΔ
 ϞβΠΫը Λࢼͯ͠Έͯ͸͍͔͕Ͱ͠ΐ͏͔ ࣮ࡍʹར༻ͨ͠εΫϦϓτ͸ https://github.com/yuzutas0/word2mosimg 
49. ͝੩ௌ ͋Γ͕ͱ͏͍͟͝·ͨ͠
 presented by @yuzutas0
 http://www.maths.tcd.ie/pub/HistMath/People/Riemann/Zeta/EZeta.pdf