Nodiレクチャー「CGと数学」講義資料 2024/11/19

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$(ͱ਺ֶߨٛ༻εϥΠυ ϒϥ΢β্Ͱಈ࡞͢Δ ϓϩγʔδϟϧϞσϦϯάπʔϧ /PEJ

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֓ཁ w ࣗݾ঺հ w /PEJʹ͍ͭͯ w /PEJͷ࢖͍ํʢ৮ͬͯΈΔ࣌ؒʣ w /PEJͷ࡞ΓํʢϓϩάϥϚʔ޲͚ʣ

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தଜকୡʢφΧϜϥϚαλπʣ w %$(c6*c5PPMϓϩάϥϚʔ w ೥ʹUFBN-BC৽ଔೖࣾ w ೥ʹಠཱʢ%&503૑ۀʣ ೖࣾ࣌ʹ͸͡Ίͯ$(ʹ৮ΕΔ

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/0*;BSDIJUFDUT /55*$$ʮଟ૚ੈքͷதͷ΋͏ͻͱͭͷϛϡʔδΞϜʯలϰΝʔνϡΞϧॳ୆ 76*-% /&45*/(IUUQTOFTUJOHNF

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%&503ʢστΞʣ w ༷ʑͳྖҬΛର৅ʹͨ͠ʮઃܭͷͨΊͷιϑτ΢ΣΞͷઃܭͱ։ൃʯΛߦ͏ ελδΦʢελδΦͱ͍͍ͭͭ૑ۀ͔ΒͣͬͱҰਓձࣾʣ w %$(ɺزԿɺσʔλϏδϡΞϥΠθʔγϣϯɺϢʔβΠϯλʔϑΣʔεͳͲ ͷ஌ݟΛ༻͍ͭͭɺର৅ྖҬͷઐ໳Ոͱͷର࿩Λ௨ͯ͡ɺ࣮ࡍతͳ໰୊ͷղ ܾ΍ઃܭख๏ɾϑϩʔͷޮ཰Խʹߩݙ͢ΔπʔϧΛ۩ݱԽ͍ͯ͠·͢

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ө૾ɾήʔϜࢤ޲ ݐஙɾ੡଄ۀࢤ޲ (SBTTIPQQFSGPS3IJOPDFSPVT %ZOBNPGPS3FWJU (FPNFUSZ/PEFTGPS#MFOEFS )PVEJOJ

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/PEJͷ໨త w 8FCͱϓϩγʔδϟϧϞσϦϯάͷಛੑΛ׆͔ͭͭ͠ɺ࠶ར༻ੑͷߴ͍Ϟσ ϦϯάΛՄೳʹ͢Δ w ϞσϦϯάσʔλΛ࣮ମԽ͠ɺ࣮ࡍతͳϓϩδΣΫτʢϑΝϒϦέʔγϣϯ ΍ݐஙʣʹ׆͔ͤΔΑ͏ʹ͢Δ

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/PEJΛ࢖ͬͯ ͜Ε·Ͱ࡞ΒΕͨ΋ͷ

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ࠤ૔ྰ lύϥϝτϦοΫγϯηγεΛ௨ͨ͡Πψ༻ٛ଍ͷΧελϚΠθʔγϣϯαʔϏεͷ࣮૷z

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ࠤ૔ྰ lύϥϝτϦοΫγϯηγεΛ௨ͨ͡Πψ༻ٛ଍ͷΧελϚΠθʔγϣϯαʔϏεͷ࣮૷z

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IUUQTCFOUPEEFTJHO தౡ৻ଠ࿠ l#FOUP%z

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IUUQTCFOUPEEFTJHO தౡ৻ଠ࿠ l#FOUP%z

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اۀͱͷίϥϘϨʔγϣϯྫ

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/PEJ։ൃͷ͜Ε·Ͱ w ೥࡞Γ͸͡ΊΔ w ೥QVCMJDЌ൛Λެ։OPEJEDPN w ೥ w Ќ൛ΛΦʔϓϯιʔεԽIUUQTHJUIVCDPN/PEJEOPEJ w Ќ൛ͷࠜຊతͳ໰୊Λղܾ͢΂͘ϦϥΠτΛߟ͑࢝ΊΔ w ೥๩ͯ͘͠ϦϥΠτΛఘΊΔ w ೥͕࣌ؒͰ͖࢝ΊͨͷͰϦϥΠτΛνϚνϚ΍Γͩ͢ w ೥݄WFSTJPOͷFBSMZBDDFTT൛Λެ։WOPEJEDPN

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৮ͬͯΈΔ

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WOPEJEDPN ʢ$ISPNFਪ঑ʣ ෆ۩߹͕͋Ε͹͝ใࠂ͍͚ͨͩΔͱخ͍͠Ͱ͢🙏 HJUIVCDPN/PEJEOPEJWEJTDVTTJPOT

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/PEJ΁ͷ࣭໰΍ཁ๬ w HJUIVCDPN/PEJEOPEJWEJTDVTTJPOT w ཁHJUIVCΞΧ΢ϯτ w ΊͪΌͪ͘Ό؆୯ͳ࣭໰Ͱ΋େৎ෉Ͱ͢ w ೔ຊޠͰ΋🙆

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/PEJΛࢧ͑Δٕज़

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େ·͔ͳٕज़ελοΫ 6*΍ϨϯμϦϯάͳͲը໘ඳըʹؔΘΔ෦෼ w ݴޠ5ZQF4DSJQU w ओͳϑϨʔϜϫʔΫɾϥΠϒϥϦ w 3FBDU w UISFFKT SFBDUUISFF fi CFS

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େ·͔ͳٕज़ελοΫ ίΞͳΤϯδϯ෦෼ w Τϯδϯ͕୲͏໾ׂ w (FPNFUSZLFSOFMʢޙड़ʣ w /PEFHSBQIʢϊʔυϕʔεϓϩάϥϛϯάػೳͷͨΊͷϕʔεͱͳΔσʔλߏ଄ͱΞϧΰϦζ Ϝͷ࣮૷ʣ w ݴޠ3VTUʢ8FC"TTFNCMZ΁Ϗϧυͯ͠ར༻ʣ w ओͳϥΠϒϥϦ w OBMHFCSBʢઢܗ୅਺ϥΠϒϥϦʣ

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(FPNFUSZLFSOFM

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&"INFEFUBM l"TVSWFZPO%FFQ-FBSOJOH"EWBODFTPO%J ff FSFOU%%BUB3FQSFTFOUBUJPOTl

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#3FQ #PVOEBSZ3FQSFTFOUBUJPO ڥքදݱ

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8JLJQFEJB l#PVOEBSZSFQSFTFOUBUJPOl IUUQTFOXJLJQFEJBPSHXJLJ#PVOEBSZ@SFQSFTFOUBUJPO

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3VEJOH-PV l.PEJ fi DBUJPOPGTFNBOUJDBMMZFOSJDIFE'&NFTINPEFMTz

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IUUQTEFWFMPQFSSIJOPEDPNHVJEFTDQQCSFQEBUBTUSVDUVSF

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🤯

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.BUU'FSSBSP l$"%NJVN"-PDBM'JSTU$"%1SPHSBN#VJMUGPSUIF#SPXTFSl IUUQTNBUUGFSSBSPEFWQPTUTDBENJVN $"%Λ։ൃ͍ͯ͠Δେखاۀͷ(FPNFUSZLFSOFM ˡاۀ ˡاۀ಺Ͱ։ൃ͞Ε͍ͯΔ ιϑτ΢ΣΞύοέʔδ ˡϕʔεͱͳ͍ͬͯΔ (FPNFUSZLFSOFM

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l৴པੑͷߴ͍δΦϝτϦΧʔωϧͷ։ൃʹ͸ɺത࢜߸Λ࣋ͭνʔϜ͕໿೥͔͚ͯऔΓ૊Ήඞཁ͕͋Γ·͢z

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DVSWP IUUQTHJUIVCDPNNBUUBU[DVSWP

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'3FQ 'VODUJPO3FQSFTFOUBUJPO ؔ਺දݱ

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O5PQPMPHZ IUUQTXXXOUPQDPN

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/PEJWͰ࣮૷ͨ͠'3FQͷྫ

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ऴΘΓʹ w πʔϧͱͯ͠ػೳ͕·ͩ·ͩ଍Γͯͳ͍ͷͰ։ൃΛଓ͚͍ͯ͘ w ͳʹ͔ϑΟʔυόοΫͳͲ͋Ε͹ͳΜͰ΋΋Β͑Δͱخ͍͠Ͱ͢🙏