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papanda
April 15, 2018
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April 15, 2018
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Transcript
ࢢ୩ ૱ܒ ΠϯηϓγϣϯσοΩ ͷ͡Ί͔ͨɺ ͭ͘Γ͔ͨ
5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE ΠϯηϓγϣϯσοΩ ΘΕΘΕ ͳͥ͜͜ʹ ͍Δͷ͔ ΤϨϕʔλʔ ϐον ύοέʔδ σβΠϯ Δ͜ͱ
Βͳ͍͜ͱ Ϧετ ϓϩδΣΫτ ίϛϡχςΟ ٕज़తͳ ղܾࡦ Εͳ͍ ظؒΛ ݟۃΊΔ τϨʔυΦϑ εϥΠμʔ ͳʹ͕ ͲΕ͚ͩ ඞཁ͔ 8IZΛ໌Β͔ʹ͢Δ )PXΛ໌Β͔ʹ͢Δ
5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE ΠϯηϓγϣϯσοΩ ϫʔΫγϣοϓ ݸͷλϑΫΤενϣ ϯ ʁ ͳΜͷͨΊʹ σοΩΛ ͭ͘Γ·͔͢ σοΩͷΰʔϧσϯαʔΫϧ
ͳͥΠϯηϓγϣϯσοΩΛ࡞Δͷ͔ʁ
5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE ͳͥΠϯηϓγϣϯσοΩʁ ʮવΔ͖ਓ͕ू·͍ͬͯΔ͔ʯ ʮϓϩδΣΫτ͕વΔ͖ํΛ ɹ͍͍ͯΔ͔ʯ Λ໌Β͔ʹ͢Δ
5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE ͳͥΠϯηϓγϣϯσοΩʁ ʮવΔ͖ਓ͕ू·͍ͬͯΔ͔ʯ ʮϓϩδΣΫτ͕વΔ͖ํΛ ɹ͍͍ͯΔ͔ʯ Λ໌Β͔ʹ͢Δ lνʔϜϝϯόʔ͕୭͍ͳ͍ͱ͜Ζ Ͱ߹ҙͨ͜͠ͱΛલఏʹ͍ͯ͠Δ͔ ΒɺϓϩδΣΫτ͕μϝʹͳΔz ΞδϟΠϧαϜϥΠ1
5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE ΠϯηϓγϣϯσοΩ ϫʔΫγϣοϓ ݸͷλϑΫΤε νϣϯ 1+Λ࢝ΊΔલ ʹؔऀͷೝࣝΛ͋ ΘͤΔ 1+ͷঢ়گഎܠʹͭ ͍ͯνʔϜͰ͋ͬ͠
͓ͯ͘͜ͱͰɺνʔϜ ঢ়گʹԠͨ͡దͳ அ͕ԼͤΔɻ σοΩͷΰʔϧσϯαʔΫϧ ͳͥΠϯηϓγϣϯσοΩΛ࡞Δͷ͔ʁ
5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE lϓϩδΣΫτΛ࢝ΊΔલʹ ؔऀͷೝࣝΛ߹ΘͤΔzͱʁ
5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE lϓϩδΣΫτΛ࢝ΊΔલʹ ؔऀͷೝࣝΛ߹ΘͤΔzͱʁ ϓϩδΣΫτϝϯόʔ͕ޓ͍ʹ ͍࣋ͬͯΔظΛ໌Β͔ʹ͠ దʹௐ͢Δɻ ظϚωδϝϯτ
5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE ظϚωδϝϯτ ɾ֬ೝͰ͖ͨ࠷ݹͷॻ੶ ɹʮୡਓϓϩάϥϚʔʯ ɹ˞࠷ۙͰʮΞδϟΠϧαϜϥΠʯ༁൛ίϥϜʹ ɾ1.#0,ͱظϚωδϝϯτ ɹୈ൛·Ͱ໌هͳ͍ɹ ɹୈ൛͔ΒίϛϡχέʔγϣϯϚωδϝϯτͷதʹ ɹୈ൛͔ΒεςʔΫϗϧμʔϚωδϝϯτͱ্ͯ֨͛͠ ɹɹ˞ݸͷࣝΤϦΞɹ
5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE ΠϯηϓγϣϯσοΩ ϫʔΫγϣοϓ ݸͷλϑΫΤε νϣϯ 1+Λ࢝ΊΔલ ʹؔऀͷೝࣝΛ͋ ΘͤΔ σοΩͷΰʔϧσϯαʔΫϧ Ͳ͏ͬͯΠϯηϓγϣϯσοΩΛ࡞Δͷ͔ʁ
5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE )PXUP*ODFQUJPO%FDL ɾͳͥΘΕΘΕσοΩΛ࡞Δͷ͔ ɾݸͷλϑΫΤενϣϯ ɾؔऀશһͰ ɾσοΩʙ ɾୟ͖࡞ΓશһͰୟ͘ཧ ɾࢴ·ͨ0OMJOFπʔϧ ɾ;Γ͔͑ΓɺϦϦʔεޙʹݟ͢ ɾ։ൃϓϩηεʹΈࠐΉ
5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE )PXUP*ODFQUJPO%FDL ɾͳͥΘΕΘΕσοΩΛ࡞Δͷ͔ ɾݸͷλϑΫΤενϣϯ ɾؔऀશһͰ ɾσοΩʙ ɾୟ͖࡞ΓશһͰୟ͘ཧ ɾࢴ·ͨ0OMJOFπʔϧ ɾ;Γ͔͑ΓɺϦϦʔεޙʹݟ͢ ɾ։ൃϓϩηεʹΈࠐΉ
5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE *ODFQUJPO%FDL1SPDFTT ϓϩδΣΫτͷํ͚ ΠϯηϓγϣϯσοΩ ཁٻͷऩूɺݟੵΓɺॱং͚ ϢʔβʔετʔϦʔऩू84 ϦϦʔεܭը ϦϦʔεܭըϛʔςΟϯά ΠςϨʔγϣϯ։ൃ
5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE ΠϯηϓγϣϯσοΩ ΘΕΘΕ ͳͥ͜͜ʹ ͍Δͷ͔ ΤϨϕʔλʔ ϐον ύοέʔδ σβΠϯ Δ͜ͱ
Βͳ͍͜ͱ Ϧετ ϓϩδΣΫτ ίϛϡχςΟ ٕज़తͳ ղܾࡦ Εͳ͍ ظؒΛ ݟۃΊΔ τϨʔυΦϑ εϥΠμʔ ͳʹ͕ ͲΕ͚ͩ ඞཁ͔ 8IZΛ໌Β͔ʹ͢Δ )PXΛ໌Β͔ʹ͢Δ
5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE ΠϯηϓγϣϯσοΩ ΘΕΘΕ ͳͥ͜͜ʹ ͍Δͷ͔ ΤϨϕʔλʔ ϐον ύοέʔδ σβΠϯ Δ͜ͱ
Βͳ͍͜ͱ Ϧετ ϓϩδΣΫτ ίϛϡχςΟ ٕज़తͳ ղܾࡦ Εͳ͍ ظؒΛ ݟۃΊΔ τϨʔυΦϑ εϥΠμʔ ͳʹ͕ ͲΕ͚ͩ ඞཁ͔ 8IZΛ໌Β͔ʹ͢Δ )PXΛ໌Β͔ʹ͢Δ
5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE *ODFQUJPO%FDL1BUUFSO ɾ8IZˠཁٻऩू FQJD ˠ)PX ɹجຊύλʔϯ
5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE ΠϯηϓγϣϯσοΩ ΘΕΘΕ ͳͥ͜͜ʹ ͍Δͷ͔ ΤϨϕʔλʔ ϐον ύοέʔδ σβΠϯ Δ͜ͱ
Βͳ͍͜ͱ Ϧετ ϓϩδΣΫτ ίϛϡχςΟ ٕज़తͳ ղܾࡦ Εͳ͍ ظؒΛ ݟۃΊΔ τϨʔυΦϑ εϥΠμʔ ͳʹ͕ ͲΕ͚ͩ ඞཁ͔ 8IZΛ໌Β͔ʹ͢Δ )PXΛ໌Β͔ʹ͢Δ ཁٻ ऩू
5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE *ODFQUJPO%FDL1BUUFSO ɾ8IZˠཁٻऩू FQJD ˠ)PX ɹجຊύλʔϯ ɾ8IZˠ)PXˠཁٻऩू ɹΔ͖͜ͱ͕͍͍͔͍ͩͨͬͯΔ
5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE *ODFQUJPO%FDL1BUUFSO ɾ8IZˠཁٻऩू FQJD ˠ)PX ɹجຊύλʔϯ ɾ8IZˠ)PXˠཁٻऩू ɹΔ͖͜ͱ͕͍͍͔͍ͩͨͬͯΔ ɾ8IZˠ)PXˠ(P/P(Pˠ8IZˠ)PX ɹϓϩδΣΫτ։࢝அ͕ඞཁ
5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE *ODFQUJPO%FDL1BUUFSO ɾ8IZˠཁٻऩू FQJD ˠ)PX ɹجຊύλʔϯ ɾ8IZˠ)PXˠཁٻऩू ɹΔ͖͜ͱ͕͍͍͔͍ͩͨͬͯΔ ɾ8IZˠ)PXˠ(P/P(Pˠ8IZˠ)PX ɹϓϩδΣΫτ։࢝அ͕ඞཁ
ɾ8IZ Ћ ɹ؆қతʹɻЋͰτϨʔυΦϑεϥΠμʔ
5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE )PXUP*ODFQUJPO%FDL ɾͳͥΘΕΘΕσοΩΛ࡞Δͷ͔ ɾݸͷλϑΫΤενϣϯ ɾؔऀશһͰ ɾσοΩʙ ɾୟ͖࡞ΓશһͰୟ͘ཧ ɾࢴ·ͨ0OMJOFπʔϧ ɾ;Γ͔͑ΓɺϦϦʔεޙʹݟ͢ ɾ։ൃϓϩηεʹΈࠐΉ
զΘΕͳͥ͜͜ʹ͍Δͷ͔ wେࣄͳཧ༝ͦͷ wେࣄͳཧ༝ͦͷ wେࣄͳཧ༝ͦͷ ͜ͷϓϩδΣΫτͷࠜװʹ ؔΘΔཧ༝Λͭɺ͜͜ʹॻ͘ ઈରʹ࣮ݱ͠ͳ͚Ε͍͚ͳ͍͜ͱͱʁ
ΤϨϕʔλʔϐον w <જࡏతͳχʔζΛຬͨͨ͠Γɺ જࡏతͳ՝Λղܾͨ͠Γ>͍ͨ͠ w <ରސ٬>͚ͷɺ w <ϓϩμΫτ໊>ͱ͍͏ϓϩμΫτɺ w <ϓϩμΫτͷΧςΰϦʔ>Ͱ͢ɻ
w ͜Ε<ॏཁͳརɺରՁʹݟ߹͏આಘྗͷ͋Δཧ ༝ ϓϩμΫτʹ͓ۚΛ͍͍ͨཧ༝ >͕Ͱ͖ɺ w <ସखஈͷ࠷ӈཌྷ>ͱҧͬͯɺ w <ࠩผԽͷܾఆతͳಛ>͕උΘ͍ͬͯΔɻ ୭ͷԿΛͲ͏ͬͯղܾ͢Δͷ͔
5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE ΠϯηϓγϣϯσοΩͷऑ 8IP
ΤϨϕʔλʔϐον w <જࡏతͳχʔζΛຬͨͨ͠Γɺ જࡏతͳ՝Λղܾͨ͠Γ>͍ͨ͠ w <ରސ٬>͚ͷɺ w <ϓϩμΫτ໊>ͱ͍͏ϓϩμΫτɺ w <ϓϩμΫτͷΧςΰϦʔ>Ͱ͢ɻ
w ͜Ε<ॏཁͳརɺରՁʹݟ߹͏આಘྗͷ͋Δཧ ༝ ϓϩμΫτʹ͓ۚΛ͍͍ͨཧ༝ >͕Ͱ͖ɺ w <ସखஈͷ࠷ӈཌྷ>ͱҧͬͯɺ w <ࠩผԽͷܾఆతͳಛ>͕උΘ͍ͬͯΔɻ ୭ͷԿΛղܾ͢Δͷ͔
5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE 8IPΛݟམͱ͢ͳ 8IPͷ͚ͩϐον͕͋Δ
5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE 8IPͷ͚ͩϐον͕͋Δ
5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE 8IPͷ͚ͩϐον͕͋Δ ଞʹλʔήοτ͍Δ͔ʁ ̍ͭʹߜΕ͍ͯͳͯ͘େৎ͔ʁ l൴Βzͷχʔζʹͳ͍ͬͯΔ͔ λʔήοτ͕͜ͷχʔζΛ͍࣋ͬͯΔͱͨ͠ ࠜڌԿ͔ ʮॏཁͳརʯɺχʔζΛຬͨ͢ཧ༝ʹͳͬ ͍ͯΔ͔ɻ ʮڝ߹ʯ͕ɺୡͰ͖͍ͯͳ͍χʔζΛʮࠩ
ผԽཁҼʯଊ͍͑ͯΔͷ͔ɻ
ύοέʔδσβΠϯ ϓϩμΫτͷ໊લ ૉఢͳࣸਅ ࠷ߴͷΩϟονίϐʔ ϢʔβʔͷΞϐʔϧͦͷ ϢʔβʔͷΞϐʔϧͦͷ ϢʔβʔͷΞϐʔϧͦͷ Կ͕Ͱ͖Δͷ͔ ޮೳԿ͔
Βͳ͍͜ͱϦετ Δ Βͳ͍ ͋ͱͰႊΊΔ είʔϓʹԿ͕ೖΒͳ͍ͷ͔
5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE ͍͖ͳΓΒͳ͍͜ͱग़ͤͳ͍
5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE ͍͖ͳΓΒͳ͍͜ͱग़ͤͳ͍ ϓϩδΣΫτ ։࢝લ 4QSJOU 4QSJOU 4QSJOU/ ʮ͍·͔Β1+Λ ࢝ΊΔͷʹΒͳ͍ ͜ͱͩͬͯ
ʯ ʮείʔϓͷௐ ͷͨΊʹɺ͜Ε Βͳͯ͘ྑ͍ʯ
5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE ͍͖ͳΓΒͳ͍͜ͱग़ͤͳ͍ ϓϩδΣΫτ ։࢝લ 4QSJOU 4QSJOU 4QSJOU/ ʮ͍·͔Β1+Λ ࢝ΊΔͷʹΒͳ͍ ͜ͱͩͬͯ
ʯ ʮείʔϓͷௐ ͷͨΊʹɺ͜Ε Βͳͯ͘ྑ͍ʯ ։ൃͷظΛ໌Β͔ʹ͢Δ είʔϓΛ໌Β͔ʹ͢Δ ޙͰείʔϓௐͰ͖ΔΑ͏ʹߟ͑ํΛἧ͓͑ͯ͘ τϨʔυΦϑεϥΠμʔ
5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE Δ͜ͱΒͳ͍͜ͱͰ։ൃͷ ظΛ໌Β͔ʹ͢Δ
5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE Δ͜ͱΒͳ͍͜ͱͰ։ൃͷ ظΛ໌Β͔ʹ͢Δ ʮνʔϜͰίϛϡ χέʔγϣϯΛͬ͠ ͔ΓͱΓͳ͕ΒਐΊ ͍ͨʯ ؔऀͷ։ൃͷࢥ͍ΛѲ͢Δ ʮυΩϡϝϯτʹ શͯͷ͜ͱΛॻ͖ද
͢ͷແཧɻʯ ʮ͋ͳͨͷ͍ۤܦݧΛڭ͍͑ͯͩ͘͞ʯ
ϓϩδΣΫτίϛϡχςΟ ίΞνʔϜ ˓˓άϧʔϓ ଞͷνʔϜ ΄͛΄͛෦ ؔऀશһΛʂ ࢥ͍ͬͯΔΑΓͣͬͱେ͖͍ʂ εςʔΫϗϧμʔͱͷؔΛ໌Β͔ʹͤΑ
ٕज़తͳղܾࡦͷ֓ཁ ˡϦεΫ͕͋ΔՕॴ ˡࠓճର֎ ࠾༻͢Δٕज़ ϓϩάϥϛϯάݴޠ ϥΠϒϥϦ πʔϧ ͦͷଞͷཁૉٕज़ ͲΜͳٕज़ΞʔΩςΫνϟΛ࠾༻͢Δͷ͔
τϨʔυΦϑɾεϥΠμʔ యܕతͳϑΥʔε ػೳΛͥΜͿἧ͑Δ είʔϓ ༧ࢉʹऩΊΔ ༧ࢉ ظΛࢮक͢Δ ࣌ؒ ߴ͍࣭ɺগͳ͍ܽؕ ࣭
MAX MIN MAX MIN MAX MIN MAX MIN ্هҎ֎Ͱॏཁͳ͜ͱ ؆୯ʹ͑Δ ߟ͑ͤ͞ͳ͍ʂ ৄࡉͳূ ͳΜͰϩάΛऔΔ ͳͲͳͲ MAX MIN MAX MIN MAX MIN MAX MIN ԿΛ༏ઌ͢Δ͖ͳͷ͔ɻஅج४Կ͔
Εͳ͘Α͏ͳԿͩΖ͏ w͠ى͖ͨΒ͜Θʔ͍͜ͱɺͦͷ w͠ى͖ͨΒ͜Θʔ͍͜ͱɺͦͷ w͠ى͖ͨΒ͜Θʔ͍͜ͱɺͦͷ ͲΜͳϦεΫ͕͋Δͷ͔ɻ
Զͨͪͷl"νʔϜz ਓ ׂ ڧΈظ͢Δ͜ͱ ΞφϦετ ඞཁͳ͚ͩඞཁͳͱ͖ʹੳ͢ΔελΠϧͰಇ͚Δɻ ςετتΜͰख͑Δɻ ૉૣ͍܁Γฦ͠ܕͷ։ൃελΠϧͰಇ͚Δɻ
։ൃऀ $ɺ.7$/&5ɺK2VFSZɺ42- ϢχοτςετɺϦϑΝΫλϦϯάɺ5%%ɺ ܧଓతΠϯςάϨʔγϣϯ Ϛωʔδϟ ސ٬ͱإΛ߹ΘͤͯͷίϛϡχέʔγϣϯΛ୲͢Δɻ ঢ়گใࠂɺείʔϓௐɺ༧ࢉཧɺϨϙʔτϥΠϯͷใࠂ ୭͕ͲΜͳׂΛ୲͏ͷ͔ɻମ੍ɻ
ॳճͷϦϦʔεʹඞཁͳͷ ໊ɺϲ݄ɺ, ϦϦʔε ߏங डೖςετ τϨʔχϯά dϲ݄ िؒ िؒ ظؒΛݟۃΊΔ
Ͳͷ͘Β͍ͷظؒͰԿ͕͍͘ΒͰग़དྷΔͷ͔