ゼータ関数に愛を込めて #ニコニコ学会 / 20160326 - Speaker Deck

Tweet

Tweet

Slide 1

Slide 1 text

θʔλؔ਺ʹѪΛࠐΊͯ   2016-Mar-26  χίχίֶձβ σʔλݚڀձɹfeat. ೔༵਺ֶձ presented by @yuzutas0  http://www.maths.tcd.ie/pub/HistMath/People/Riemann/Zeta/EZeta.pdf

Slide 2

Slide 2 text

@yuzutas0   ɹΏΊʢເʣΛ  ɹͣͬͱ  ɹ͍ͨͤͭʢେ੾ʣʹ͍͍ͯͨ͠  ɹͦΕ͕ʮΏͣͨͦʯ ɹࣗݾ঺հ

Slide 3

Slide 3 text

਺ֶͱσʔλݚڀ  ”ເ”ͷڞԋΛ͓ݟͤ͠·͢ 

Slide 4

Slide 4 text

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

Slide 5

Slide 5 text

ɹ͜Ε͕ѪΛࠐΊͨθʔλؔ਺ͩʂ Big contents Small contents

Slide 6

Slide 6 text

Կ͕ҧ͏͔ʁ 

Slide 7

Slide 7 text

ɹWhat’s the Difference?         ɹී௨ͷθʔλؔ਺ɹɹvsɹɹѪ͕ͭ·ͬͨθʔλؔ਺

Slide 8

Slide 8 text

ɹWhat’s the Difference?         ɹී௨ͷθʔλؔ਺ɹɹvsɹɹѪ͕ͭ·ͬͨθʔλؔ਺

Slide 9

Slide 9 text

ɹWhat’s the Difference?         ɹී௨ͷθʔλؔ਺ɹɹvsɹɹѪ͕ͭ·ͬͨθʔλؔ਺

Slide 10

Slide 10 text

ɹWhat’s the Difference?         ɹී௨ͷθʔλؔ਺ɹɹvsɹɹѪ͕ͭ·ͬͨθʔλؔ਺

Slide 11

Slide 11 text

ɹWhat’s the Difference?         ɹී௨ͷθʔλؔ਺ɹɹvsɹɹѪ͕ͭ·ͬͨθʔλؔ਺

Slide 12

Slide 12 text

ɹWhat’s the Difference?         ɹී௨ͷθʔλؔ਺ɹɹvsɹɹѪ͕ͭ·ͬͨθʔλؔ਺

Slide 13

Slide 13 text

ɹWhat’s the Difference?         ɹී௨ͷθʔλؔ਺ɹɹvsɹɹѪ͕ͭ·ͬͨθʔλؔ਺

Slide 14

Slide 14 text

ɹWhat’s the Difference?         ɹී௨ͷθʔλؔ਺ɹɹvsɹɹѪ͕ͭ·ͬͨθʔλؔ਺

Slide 15

Slide 15 text

ɹWhat’s the Difference?         ɹී௨ͷθʔλؔ਺ɹɹvsɹɹѪ͕ͭ·ͬͨθʔλؔ਺

Slide 16

Slide 16 text

ɹWhat’s the Difference?         ɹී௨ͷθʔλؔ਺ɹɹvsɹɹѪ͕ͭ·ͬͨθʔλؔ਺

Slide 17

Slide 17 text

ɹWhat’s the Difference?         ɹී௨ͷθʔλؔ਺ɹɹvsɹɹѪ͕ͭ·ͬͨθʔλؔ਺

Slide 18

Slide 18 text

ɹWhat’s the Difference?         ɹී௨ͷθʔλؔ਺ɹɹvsɹɹѪ͕ͭ·ͬͨθʔλؔ਺

Slide 19

Slide 19 text

ʮѪʯ(ͰGoogleݕࡧͯ͠ώοτͨ͠ը૾)  ͕ࠐΊΒΕ͍ͯΔ 

Slide 20

Slide 20 text

ɹʢ࠶ܝʣ͜Ε͕ѪΛࠐΊͨθʔλؔ਺ͩʂ Big contents Small contents

Slide 21

Slide 21 text

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

Slide 22

Slide 22 text

× θʔλؔ਺ͷ࿩    ˕ ѪΛ͜ΊΔ࿩   ʲPRʳʲ೔༵਺ֶʳθʔλؔ਺ͷັྗΛ࠶֬ೝ͍ͨ͠ํ͸  http://tsujimotter.hatenablog.com/entry/riemann-zeta-function

Slide 23

Slide 23 text

× θʔλؔ਺ͷ࿩    ˕ ѪΛ͜ΊΔ࿩  ˠϞβΠΫըͷ࡞Γํ   ʲPRʳʲ೔༵਺ֶʳθʔλؔ਺ͷັྗΛ࠶֬ೝ͍ͨ͠ํ͸  http://tsujimotter.hatenablog.com/entry/riemann-zeta-function

Slide 24

Slide 24 text

ɹϞβΠΫըͱݺͼ·͢

Slide 25

Slide 25 text

ɹϞβΠΫըͷ࡞Γํ ᶃσʔλ ऩू   ᶆσʔλ ग़ྗ   ᶅσʔλ ൑அ   ᶄσʔλ Ճ޻  

Slide 26

Slide 26 text

͍ͭ΋ͷσʔλݚڀͱಉ͡ʂ ɹϞβΠΫըͷ࡞Γํ

Slide 27

Slide 27 text

ɹϞβΠΫըͷ࡞Γํ ᶃσʔλ ऩू   ᶆσʔλ ग़ྗ   ᶅσʔλ ൑அ   ᶄσʔλ Ճ޻  

Slide 28

Slide 28 text

ɹ ඞཁͳը૾͸2छྨ ର৅ { target }ɹɹɹɹɹɹɹɹཁૉ { element }

Slide 29

Slide 29 text

ɹର৅ͱͳΔը૾ {target_image} Λ༻ҙ จॻπʔϧͰ਺ࣜΛ࡞੒ͯ͠ը૾ग़ྗ

Slide 30

Slide 30 text

ɹཁૉͱͳΔը૾܈ {element_images} Λ༻ҙ Googleը૾ݕࡧΛεΫϨΠϐϯά

Slide 31

Slide 31 text

ɹϞβΠΫըͷ࡞Γํ ᶃσʔλ ऩू   ᶆσʔλ ग़ྗ   ᶅσʔλ ൑அ   ᶄσʔλ Ճ޻   Done

Slide 32

Slide 32 text

ɹ৭ͷ਺஋Խ͕ϙΠϯτ ϞϊΫϩ → ໌҉ 0 - 255   Χϥϑϧ → RGB ͦΕͧΕ 0 - 255

Slide 33

Slide 33 text

ɹ֤Pixelͷ৭Λநग़ / ϕΫτϧԽ { target } White  255 Black  0

Slide 34

Slide 34 text

ɹը૾ͷ੔ܗ { element } 1. ਺ࣜͷը૾ʹ߹Θͤͯ άϨʔεέʔϧ  2. ਖ਼ํܗͱͳΔΑ͏ʹ ϦαΠζ /τϦϛϯά

Slide 35

Slide 35 text

֤ը૾ͷฏۉ৭Λநग़ / ϕΫτϧԽ { element } ന  255 փ  180

Slide 36

Slide 36 text

ɹ2ͭͷϕΫτϧΛ४උ ᶃର৅ {target_image}  →֤Pixel ͕Կ৭͔ ᶄཁૉ {element_images}   →֤ը૾ͷฏۉ৭͕Կ৭͔

Slide 37

Slide 37 text

ɹϞβΠΫըͷ࡞Γํ ᶃσʔλ ऩू   ᶆσʔλ ग़ྗ   ᶅσʔλ ൑அ   ᶄσʔλ Ճ޻   Done Done

Slide 38

Slide 38 text

ɹ૊Έ߹ΘͤͷϚοϐϯά

Slide 39

Slide 39 text

ɹ૊Έ߹ΘͤͷϚοϐϯά ന͍Pixelʹ͸  നͬΆ͍ը૾Λ ࠇ͍Pixelʹ͸  ࠇͬΆ͍ը૾Λ

Slide 40

Slide 40 text

ɹઌ΄Ͳ࡞ͬͨ2ͭͷϕΫτϧ ᶃର৅ {target_image}  →֤Pixel ͕Կ৭͔ ᶄཁૉ {element_images}   →֤ը૾ͷฏۉ৭͕Կ৭͔

Slide 41

Slide 41 text

ɹϕΫτϧΛൺֱ → ૊Έ߹ΘͤΛ࠷దԽ pixel (1,1) element 1 pixel (25,16) pixel (3,29) element 42 element 23

Slide 42

Slide 42 text

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

Slide 43

Slide 43 text

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 ͠ · ͢

Slide 44

Slide 44 text

ɹϞβΠΫըͷ࡞Γํ ᶃσʔλ ऩू   ᶆσʔλ ग़ྗ   ᶅσʔλ ൑அ   ᶄσʔλ Ճ޻   Done Done Done

Slide 45

Slide 45 text

ɹ{element_images} Λ݁߹ͯ͠ॻ͖ग़͢

Slide 46

Slide 46 text

ɹϞβΠΫըͷ࡞Γํ ᶃσʔλ ऩू   ᶆσʔλ ग़ྗ   ᶅσʔλ ൑அ   ᶄσʔλ Ճ޻   Done Done Done Done

Slide 47

Slide 47 text

ɹ࠶ܝ         ɹී௨ͷθʔλؔ਺ɹɹvsɹɹѪ͕ͭ·ͬͨθʔλؔ਺

Slide 48

Slide 48 text

ɹ·ͱΊ   σʔλݚڀͷॳา Λֶ΂Δ / ϏδϡΞϧ Ͱָ͠ΊΔ  ϞβΠΫը Λࢼͯ͠Έͯ͸͍͔͕Ͱ͠ΐ͏͔ ࣮ࡍʹར༻ͨ͠εΫϦϓτ͸ https://github.com/yuzutas0/word2mosimg

Slide 49

Slide 49 text

͝੩ௌ ͋Γ͕ͱ͏͍͟͝·ͨ͠  presented by @yuzutas0  http://www.maths.tcd.ie/pub/HistMath/People/Riemann/Zeta/EZeta.pdf