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

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@yuzutas0 
 ɹΏΊʢເʣΛ
 ɹͣͬͱ
 ɹ͍ͨͤͭʢେ੾ʣʹ͍͍ͯͨ͠
 ɹͦΕ͕ʮΏͣͨͦʯ ɹࣗݾ঺հ

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਺ֶͱσʔλݚڀ
 ”ເ”ͷڞԋΛ͓ݟͤ͠·͢


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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

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ɹ͜Ε͕ѪΛࠐΊͨθʔλؔ਺ͩʂ Big contents Small contents

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Կ͕ҧ͏͔ʁ


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

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

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

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

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

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

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

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

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

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

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

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

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ʮѪʯ(ͰGoogleݕࡧͯ͠ώοτͨ͠ը૾)
 ͕ࠐΊΒΕ͍ͯΔ


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ɹʢ࠶ܝʣ͜Ε͕ѪΛࠐΊͨθʔλؔ਺ͩʂ Big contents Small contents

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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

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

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

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ɹϞβΠΫըͱݺͼ·͢

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


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͍ͭ΋ͷσʔλݚڀͱಉ͡ʂ ɹϞβΠΫըͷ࡞Γํ

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


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

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

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ɹཁૉͱͳΔը૾܈ {element_images} Λ༻ҙ Googleը૾ݕࡧΛεΫϨΠϐϯά

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

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

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ɹ֤Pixelͷ৭Λநग़ / ϕΫτϧԽ { target } White
 255 Black
 0

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

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֤ը૾ͷฏۉ৭Λநग़ / ϕΫτϧԽ { element } ന
 255 փ
 180

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

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

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ɹ૊Έ߹ΘͤͷϚοϐϯά

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ɹ૊Έ߹ΘͤͷϚοϐϯά ന͍Pixelʹ͸
 നͬΆ͍ը૾Λ ࠇ͍Pixelʹ͸
 ࠇͬΆ͍ը૾Λ

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

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

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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

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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 ͠ · ͢

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

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ɹ{element_images} Λ݁߹ͯ͠ॻ͖ग़͢

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

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ɹ࠶ܝ 
 
 
 
 ɹී௨ͷθʔλؔ਺ɹɹvsɹɹѪ͕ͭ·ͬͨθʔλؔ਺

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

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