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算数の闇、世界の光
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Y Enokida
August 23, 2019
Education
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1k
算数の闇、世界の光
社内 Tech Talk で算数について喋ったときのスライドです
Y Enokida
August 23, 2019
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Transcript
ࢉͷҋɺੈքͷޫ ΤϜεϦʔגࣜձࣾ AIɾػցֶशνʔϜ ӿా༸հ 2019/08/23
ͲͪΒ͞·Ͱ͔͢ ӿా༸հʢ͑ͷ͖ͩɹΑ͏͚͢ʣ AIɾػցֶशνʔϜॴଐ
͖͢ͳͷɿֶͱήʔϜ աڈͷ Tech Talk Ͱͬͨ͜ͱ ४ղੳ σʔλϕʔεͷ ͱݴ͍ͭͭݍͷ ࠓݍͱؔܕͷΛ͢ΔͭΓͩͬͨ
͍·͔Β ࢉͷΛ͠·͢
Α͋͘Δओு ʮখֶߍͰ xx ࢉΛΔͷແବ͔ͩΒํఔࣜΛڭ͑Ε͍͍͡ΌΜʯ શମͷඪ ͷ͝ͱͦΜͳʹ୯७͡Όͳ͍͜ͱΛ͑Δ ࢉڭ͑ΔͷڭΘΔͷ͍͠ʂ தֶडݧࢉΛ೦಄ʹஔ͍ͯ͠·͢ ֶੜ࣌ʹक़ߨࢣΛ͍ͬͯͨܦݧΛͱʹ͍ͯ͠·͢
લͷখඪ நͰԥΒΕΔͭΒΈΛ࣮ײ͍ͯͨͩ͘͠
ઌ΄Ͳͷओுͷݴ༿Λิ͏ ʮখֶߍͰʢ۩ମతͰ൚༻ੑͷͳ͍ʣ xx ࢉΛΔͷແବ͔ͩΒʢΑΓந తͰ൚༻ੑͷ͋ΔʣํఔࣜΛڭ͑Ε͍͍͡ΌΜʯ ҰൠԽ ʮখֶߍͰʢ۩ମతͰ൚༻ੑͷͳ͍ʣ xx ΛΔͷແବ͔ͩΒʢΑΓநత Ͱ൚༻ੑͷ͋Δʣ
yy Λڭ͑Ε͍͍͡ΌΜʯ ۩ମྫΛೖ ʮখֶߍͰʢ۩ମతͰ൚༻ੑͷͳ͍ʣํܗͷ໘ੵͷެࣜΛΔͷແବ͔ͩ ΒʢΑΓநతͰ൚༻ੑͷ͋ΔʣଌΛڭ͑Ε͍͍͡ΌΜʯ
খֶੜ͚ͱݴΘΕ͍ͯΔ ͨͯ 3cmɼΑ͜ 5cm ͷํܗ͕͋Γ·͢ɽ໘ੵ͍ͭ͘Ͱ͔͢ɽ ͑ɿ15cm2 ͖ͬ͞ͷʹج͍ͮͨ߹ ͷਤܗ A
R2 ͷۣܗͳͷͰɺಛʹՄଌू߹Ͱ͋Δɻ͕ͨͬ͠ ͯ A ͷࢦࣔവՄଌͰɺͦͷ Lebesgue ଌʹؔ͢Δੵ Riemann ੵͰܭࢉͰ͖Δ͔Βɺࢦࣔവʹର͢Δ Fubini ͷఆཧ ͱซͤͯ R 1Ad— = R 3 0 R 5 0 dxdy = R 3 0 5dy = 15ɻ͕ͨͬͯ͠ٻ ΊΔ໘ੵ 15cm2 Ͱ͋Δɻ ͜ΕΛখֶੜʹڭ͑Δ͜ͱʹͳΔ ͖͋Β͔ͳਓݖ৵
લͷ݁ நͰ͍͖ͳΓԥΒΕΔͱͭΒ͍
ٙ ํఔࣜখֶੜʹநతͰͭΒ͍ͷͳͷ͔ʁ ͨ͑͜ɿΓํ࣍ୈ ͖ͬ͞ΑΓ͋Δҙຯਂࠁ େֶֶΘ͔Βͳ͍͜ͱͷ΄͏͕ଟ͍ͷͰٯʹ OK ํఔࣜڭ͑ํΛؒҧ͑Δͱେมͳ͜ͱʹͳΔ େਓ͕ํఔࣜΛͳ·͑͡Δ͍ͤͰେมͳ͜ͱʹͳΓ͍͢ ޙͷখඪ ํఔࣜʹؔ͢Δɺখֶੜʹͱͬͯͷۤ͠ΈϙΠϯτΛ͑Δ
ͳͥํఔࣜΛڭ͑ͳ͍ͷ͔ʁ ˢ࣭ͷํΛؒҧ͍͑ͯΔ ํఔࣜதֶडݧͰश͍ͬͯΔͱݴͬͯྑ͍
ྫ ࢞ͱຓͷஷۚͷ߹ܭ 6600 ԁͰɺຓͷஷۚͷ 2 ഒ࢞ͷஷۚΑΓ 1800 ԁଟ͍ͱ͖ɺຓͷஷ͍ۚ͘ΒͰ͔͢ɻ ղ ຓͷஷۚΛ
1 ‚ͱ͢Δͱɺ࢞ͷஷۚ 2 ‚-1800 ͳͷͰɺ 3 ‚-1800=6600 Ͱ͋Δɻ͕ͨͬͯ͠ 3 ‚=8400 ͔ͩΒ 1 ‚=2800ɻͳͷͰ 2800 ԁɻ ҙ 1 ‚Λ x ͱॻ͚ͨͩͷҰ࣍ํఔࣜͷ
ઌఔͷղ 6 ੜʹ͍͍ͨͯཧղͯ͠Β͑Δ 5 ੜଟ͘ཧղͯ͘͠ΕΔ 4 ੜཧղͯ͘͠Εͳ͍ 1 ‚͕Կͳͷ͔Λཧղͯ͘͠Εͳ͍έʔε͕ଟൃ͢Δ ղܾ๏
ઢਤΛॻ͘ 1 ‚ ΛͰݟ͔ͯΔܗͰද͢͜ͱͰɺ ʮม֓೦ͷ׳ΕʯΛ࡞Δ தߴͷֶͲ͜Ζ͔ੜ֔͑ΔεΩϧɺແବʹ͢Δ΄͏͕͍͠
ͦͷଞͷۤ͠ΈϙΠϯτҰཡ ΞϧϑΝϕοτ͕ॻ͚ͳ͍ ٯࢉΛؒҧ͑Δ ফڈ๏Λ͏ࡍͷެഒͷܭࢉ͕͍ or Ͱ͖ͳ͍ ૯ͯ͡ ͍Ζ͍Ζͳͱ͜Ζ͕ࢠڙʹͱ͍ͬͯ͠ ͱ͍͏͜ͱΛཧղ͢Δͷେਓʹͱ͍ͬͯ͠
·ͱΊ ࢉͷΛ͠·ͨ͠ ํఔࣜΛѻ͍ͬͯΔ ํఔࣜΛѻ͏աఔʹݱΕΔߟ͑ํຊʹ͍͠ ͜ͷ͠͞͠͠ΕڈΒΕͯ͠·͏ ͠͞ΛΕͯํఔࣜΛ͑Δ͜ͱࣗମɺΑ͍ڭҭͷূͳͷͰ