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物理現象の性質を反映させたグラフニューラルネットワークによる偏微分方程式の学習

horiem
November 21, 2022

 物理現象の性質を反映させたグラフニューラルネットワークによる偏微分方程式の学習

IBIS ワークショップ企画セッション「微分方程式等で記述される力学系と機械学習」2021/11/22(火)

horiem

November 21, 2022
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  1.   ࣗݾ঺հງߐਖ਼৴ • ઐ໳਺஋ղੳ ෺ཧγϛϡϨʔγϣϯ ͷػցֶश • ॴଐ -

    גࣜձࣾՊֶܭࢉ૯߹ݚڀॴ 3*$04  - ஜ೾େֶγεςϜ৘ใ޻ֶݚڀ܈ത࢜ޙظ՝ఔ • म࢜ͷͱ͖ͷݚڀඇઢܗ෺ཧ ྗֶܥ  • ͓΋ͳ࿦จ - M. Horie, et al. ICLR, 2021. - M. Horie and N. Mitsume. NeurIPS, 2022. • ͦͷଞ - +45͖͕͚͞ ෳࡶྲྀಈ ࠾୒ - ະ౿Ξυόϯετ࠾୒ 7BOEFS1PMৼಈࢠͷಉظݱ৅
  2.   ຊ೔ͷϝοηʔδ਺஋ղੳͷػցֶश͸೉͍͠ɾ͓΋͠Ζ͍  • ೉͠͞ - σʔλͷଐ͢Δۭ͕ؒՄม࣍ݩͰ͋Γଟ༷ͳܗঢ়Λ༗͢Δ - σʔλͷଐ͢Δۭ͕ؒ௒ߴ࣍ݩ

    ສҎ্ Ͱ͋Δ͜ͱ͕ଟ͍ • ͓΋͠Ζ͞ - ෺ཧ΍਺஋ղੳख๏ͱҙ֎ͳͱ͜ΖͰͭͳ͕͍ͬͯΔ͜ͱ͕͋Δ - ਺ֶɾ෺ཧɾ޻ֶɾ࢈ۀʹ͓͍ͯͱͯ΋ॏཁͳର৅ ➡ ߴ଎ɾߴਫ਼౓ͳ༧ଌϞσϧ͸ΈΜͳ΄͍͠ʂ
  3.   ໨࣍ • ภඍ෼ํఔࣜͷ਺஋ղੳ • *TP($/෺ཧݱ৅ͷੑ࣭Λ൓өͰ͖ΔػցֶशϞσϧ[Horie+ ICLR. 2021] •

    1IZTJDT&NCFEEFE/FVSBM/FUXPSL 1&// *TP($/ͷ͞ΒͳΔߴ౓Խ[Horie+ NeurIPS. 2022] • ·ͱΊ  [Horie+ ICLR. 2021] Masanobu Horie, Naoki Morita, Toshiaki Hishinuma, Yu Ihara, and Naoto Mitsume. Isometric transformation invariant and equivariant graph convolutional networks. In ICLR, 2021. [Horie+ NeurIPS. 2022] Masanobu Horie and Naoto Mitsume. Physics-Embedded Neural Networks: Graph Neural PDE Solvers with Mixed Boundary Conditions. In NeurIPS, 2022.
  4.   ໨࣍ • ภඍ෼ํఔࣜͷ਺஋ղੳ • *TP($/෺ཧݱ৅ͷੑ࣭Λ൓өͰ͖ΔػցֶशϞσϧ[Horie+ ICLR. 2021] •

    1IZTJDT&NCFEEFE/FVSBM/FUXPSL 1&// *TP($/ͷ͞ΒͳΔߴ౓Խ[Horie+ NeurIPS. 2022] • ·ͱΊ  [Horie+ ICLR. 2021] Masanobu Horie, Naoki Morita, Toshiaki Hishinuma, Yu Ihara, and Naoto Mitsume. Isometric transformation invariant and equivariant graph convolutional networks. In ICLR, 2021. [Horie+ NeurIPS. 2022] Masanobu Horie and Naoto Mitsume. Physics-Embedded Neural Networks: Graph Neural PDE Solvers with Mixed Boundary Conditions. In NeurIPS, 2022.
  5.   ภඍ෼ํఔࣜϩʔΧϧͳྔͰهड़͞Εͨํఔࣜ  ྲྀମ ೤ • ଟม਺ యܕతʹ͸࣌ؒͱۭؒ ͷؔ਺ͷϩʔΧϧͳڍಈΛهड़͢Δํఔࣜ

    • ೤ɾ೾ಈɾྲྀମ ਫ΍ۭؾͷྲྀΕ ͳͲ͞·͟·ͳ෺ཧݱ৅Λهड़ • ଟ͘ͷ৔߹ݫີʹղ͘͜ͱ͕೉͍ͨ͠Ί਺஋తͳղ๏͕࢖ΘΕΔˠ਺஋ղੳ ➡ ਺஋ղੳʹ͕͔͔࣌ؒΔ͜ͱ͕ଟ͍ͨΊɺػցֶशͰղΛ༧ଌͰ͖ͳ͍͔ʁ
  6.   ೤֦ࢄํఔࣜ ภඍ෼ํఔࣜϩʔΧϧͳྔͰهड़͞Εͨํఔࣜ • ଟม਺ యܕతʹ͸࣌ؒͱۭؒ ͷؔ਺ͷϩʔΧϧͳڍಈΛهड़͢Δํఔࣜ • ೤ɾ೾ಈɾྲྀମ

    ਫ΍ۭؾͷྲྀΕ ͳͲ͞·͟·ͳ෺ཧݱ৅Λهड़ • ଟ͘ͷ৔߹ݫີʹղ͘͜ͱ͕೉͍ͨ͠Ί਺஋తͳղ๏͕࢖ΘΕΔˠ਺஋ղੳ  ྲྀମ ೤ <latexit 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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru rp r · u = 0 u(x, t = 0) = uinit(x) u = uD (r ⌦ u)n = 0 /BWJFSr4UPLFTํఔࣜ <latexit sha1_base64="qh1SCxq77DXyObkCsgtzXjdAsys=">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</latexit> @u @t = ↵r · ru ➡ ਺஋ղੳʹ͕͔͔࣌ؒΔ͜ͱ͕ଟ͍ͨΊɺػցֶशͰղΛ༧ଌͰ͖ͳ͍͔ʁ
  7.   ภඍ෼ํఔࣜϩʔΧϧͳྔͰهड़͞Εͨํఔࣜ  ೤֦ࢄํఔࣜ <latexit 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</latexit> @u @t =

    ↵r · ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼
  8.   ภඍ෼ํఔࣜϩʔΧϧͳྔͰهड़͞Εͨํఔࣜ  <latexit 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+l4sLSB6t1u50Xvrn+Jv/wS977MWcvh0gbs5BXRylACvc2TSemn6oHUdJ6XWKAK/1F4zwY/vHqm3t7Rfwwyy8xbqKLA/Rf67bFnI0gS1sY+EH3ubWMCxJDP1H+PGO+QqrfYVBVsnLLW6hXSfBbpnKmL4ljCunYvci/MQbmbx/dxAWHsb3ReQc7LNFEP7xf14IeXix4yz0Bxm32cnOt+r/q4QjFFD6O1MPhhFGcT+dgNncJXf+mAu3zuq2AZAp61wo/AizMvy5uCXsLDhrczzYVanlwVgMHU28XPvhn8RnjjPL/fWHUe55wV6nTOy39DjZeRHgD+Hq2rq681VOekaYhX/S61WrGZ/v+JFlcoqCv1hl8CcuSPMc6SfD4uwb//+M3aZvfvkJYvbl5tbP7HxuuL12u/227+RunnK/+88i8r365srvx25XcrhyvnK9crwQqs/O/KH1b++Pr/vn/+/fr3G6bpT3/S9PmnFefn+9/+P0slpuQ=</latexit> 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    Թ౓ ೤֦ࢄํఔࣜ <latexit 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KUDuu0wWRTmJSb7kG3RS5lO9ey/6icBPns4mPE3mA4HCxuo3+32XvTu+lf4K6hw76uCtTxf2ICtoiZaG1qg10U6roJMP5Ca3BcVFqgyeJTi2eDHV8/02zvmj0GmuX0LVZa4/9K8PfZsCGnK2rgHos/FJiZADPlc//eI8Q6ZfotNV8HWKWutXyEtprHJmaYoThSsGveyEFEB2t19cpeUECXBWucV5KLKUv3wftYMfnw56yGLHDS33sepe9PvVR9XaqbsYYwWBj8Ok3ysHruhUwb6Lx1wl08DHSzngGetDGIQSS7yoi3oFTysia1JIfXyFLoADCdiGz/75vBrKUZFcbe27D3OOSn16VxU/4war2IzAPw9XNVX32qoz0nbEK/6XRq1YjPz/xMtLlBQF/oNvxTUMBhhnKXF/aiC4O7Tdyvr3b9DWry4erW2/q9rr9+9Xvn9Zvs3Sr9Y+selXy19v7S+9G9Lv1/aXzpdulwKl/5z6b+W/nvpf96svjl7c/vmg23685+1ff5hyft5E/0fflu3Ow==</latexit> @u @t = ↵r · ru <latexit sha1_base64="ZjvTPtt0tpTIa+Ho6Ozjp3bvwl8=">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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼
  9.   ภඍ෼ํఔࣜϩʔΧϧͳྔͰهड़͞Εͨํఔࣜ  <latexit 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+l4sLSB6t1u50Xvrn+Jv/wS977MWcvh0gbs5BXRylACvc2TSemn6oHUdJ6XWKAK/1F4zwY/vHqm3t7Rfwwyy8xbqKLA/Rf67bFnI0gS1sY+EH3ubWMCxJDP1H+PGO+QqrfYVBVsnLLW6hXSfBbpnKmL4ljCunYvci/MQbmbx/dxAWHsb3ReQc7LNFEP7xf14IeXix4yz0Bxm32cnOt+r/q4QjFFD6O1MPhhFGcT+dgNncJXf+mAu3zuq2AZAp61wo/AizMvy5uCXsLDhrczzYVanlwVgMHU28XPvhn8RnjjPL/fWHUe55wV6nTOy39DjZeRHgD+Hq2rq681VOekaYhX/S61WrGZ/v+JFlcoqCv1hl8CcuSPMc6SfD4uwb//+M3aZvfvkJYvbl5tbP7HxuuL12u/227+RunnK/+88i8r365srvx25XcrhyvnK9crwQqs/O/KH1b++Pr/vn/+/fr3G6bpT3/S9PmnFefn+9/+P0slpuQ=</latexit> u <latexit 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    Թ౓ ೤֦ࢄํఔࣜ <latexit 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</latexit> @u @t = ↵r · ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ ۭؒೋ֊ඍ෼ɹɹɹɹɹ͕ਖ਼ ˠपғ͔Β೤͕ೖͬͯ͘Δ <latexit sha1_base64="ugGjZh9kkzwoC6NbmIWcgbynRTE=">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</latexit> @2u/@x2
  10.   ภඍ෼ํఔࣜϩʔΧϧͳྔͰهड़͞Εͨํఔࣜ  <latexit 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+l4sLSB6t1u50Xvrn+Jv/wS977MWcvh0gbs5BXRylACvc2TSemn6oHUdJ6XWKAK/1F4zwY/vHqm3t7Rfwwyy8xbqKLA/Rf67bFnI0gS1sY+EH3ubWMCxJDP1H+PGO+QqrfYVBVsnLLW6hXSfBbpnKmL4ljCunYvci/MQbmbx/dxAWHsb3ReQc7LNFEP7xf14IeXix4yz0Bxm32cnOt+r/q4QjFFD6O1MPhhFGcT+dgNncJXf+mAu3zuq2AZAp61wo/AizMvy5uCXsLDhrczzYVanlwVgMHU28XPvhn8RnjjPL/fWHUe55wV6nTOy39DjZeRHgD+Hq2rq681VOekaYhX/S61WrGZ/v+JFlcoqCv1hl8CcuSPMc6SfD4uwb//+M3aZvfvkJYvbl5tbP7HxuuL12u/227+RunnK/+88i8r365srvx25XcrhyvnK9crwQqs/O/KH1b++Pr/vn/+/fr3G6bpT3/S9PmnFefn+9/+P0slpuQ=</latexit> 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    Թ౓ ೤֦ࢄํఔࣜ <latexit 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KUDuu0wWRTmJSb7kG3RS5lO9ey/6icBPns4mPE3mA4HCxuo3+32XvTu+lf4K6hw76uCtTxf2ICtoiZaG1qg10U6roJMP5Ca3BcVFqgyeJTi2eDHV8/02zvmj0GmuX0LVZa4/9K8PfZsCGnK2rgHos/FJiZADPlc//eI8Q6ZfotNV8HWKWutXyEtprHJmaYoThSsGveyEFEB2t19cpeUECXBWucV5KLKUv3wftYMfnw56yGLHDS33sepe9PvVR9XaqbsYYwWBj8Ok3ysHruhUwb6Lx1wl08DHSzngGetDGIQSS7yoi3oFTysia1JIfXyFLoADCdiGz/75vBrKUZFcbe27D3OOSn16VxU/4war2IzAPw9XNVX32qoz0nbEK/6XRq1YjPz/xMtLlBQF/oNvxTUMBhhnKXF/aiC4O7Tdyvr3b9DWry4erW2/q9rr9+9Xvn9Zvs3Sr9Y+selXy19v7S+9G9Lv1/aXzpdulwKl/5z6b+W/nvpf96svjl7c/vmg23685+1ff5hyft5E/0fflu3Ow==</latexit> @u @t = ↵r · ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ ۭؒೋ֊ඍ෼ɹɹɹɹɹ͕ਖ਼ ˠपғ͔Β೤͕ೖͬͯ͘Δ <latexit 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</latexit> @2u/@x2 ࣌ؒඍ෼ɹɹɹɹ͕ਖ਼ ˠԹ౓্͕͕Δ <latexit 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</latexit> @u/@t
  11.   ภඍ෼ํఔࣜϩʔΧϧͳྔͰهड़͞Εͨํఔࣜ  <latexit 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+l4sLSB6t1u50Xvrn+Jv/wS977MWcvh0gbs5BXRylACvc2TSemn6oHUdJ6XWKAK/1F4zwY/vHqm3t7Rfwwyy8xbqKLA/Rf67bFnI0gS1sY+EH3ubWMCxJDP1H+PGO+QqrfYVBVsnLLW6hXSfBbpnKmL4ljCunYvci/MQbmbx/dxAWHsb3ReQc7LNFEP7xf14IeXix4yz0Bxm32cnOt+r/q4QjFFD6O1MPhhFGcT+dgNncJXf+mAu3zuq2AZAp61wo/AizMvy5uCXsLDhrczzYVanlwVgMHU28XPvhn8RnjjPL/fWHUe55wV6nTOy39DjZeRHgD+Hq2rq681VOekaYhX/S61WrGZ/v+JFlcoqCv1hl8CcuSPMc6SfD4uwb//+M3aZvfvkJYvbl5tbP7HxuuL12u/227+RunnK/+88i8r365srvx25XcrhyvnK9crwQqs/O/KH1b++Pr/vn/+/fr3G6bpT3/S9PmnFefn+9/+P0slpuQ=</latexit> 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    Թ౓ ೤֦ࢄํఔࣜ <latexit 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</latexit> @u @t = ↵r · ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ ۭؒೋ֊ඍ෼ɹɹɹɹɹ͕ਖ਼ ˠपғ͔Β೤͕ೖͬͯ͘Δ <latexit 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</latexit> @2u/@x2 ࣌ؒඍ෼ɹɹɹɹ͕ਖ਼ ˠԹ౓্͕͕Δ <latexit 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tPxYGkD1bvdzoveXf8Sf/kl7n2Zs5bDpQ3YySuilaEEepsnk9JP1QOp6TwvsUAV/qPwng1+ePVMvb2j/xhklpm3UEWB+y/022PPRpAkrI19IPrc28YEiCGfqf8eMd4hVW+xqSrYOGWt1Suk+SzSOVMXxbGEde1e5F6Yg3I3j+/jAsLY3+i8gpyXaaIe3i/qwQ8vFz1knoHiNvs4Odf9XvVxhWKKHkZrYfDDKM4m8rEbOoWv/tIBd/ncV8EyBDxrhR+BF2deljcFvYSHDW9nmgu1PLkqAIOpt4uffTP4jfDGeX6/seo8zjkr1Omcl/+GGi8jPQD8PVpXV19rqM5J0xCv+l1qtWIz/f8TLa5QUFfqDb8E5MgfY5wl+Xxcgn//8Zu1ze7fIS1f3Lza2PyPjdcXr9d+t938jdLPV/555V9Wvl3ZXPntyu9WDlfOV65XghVY+d+VP6z88fX/ff/8+/XvN0zTn/6k6fNPK87P97/9f+pwpuc=</latexit> x Թ౓ ۭؒೋ֊ඍ෼ɹɹɹɹɹ͕ྵ ˠ೤͕ೖΔ෼͚ͩग़͍ͯ͘ <latexit 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</latexit> @2u/@x2 ࣌ؒඍ෼ɹɹɹɹ͕ྵ ˠԹ౓͸มΘΒͳ͍ <latexit 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</latexit> @u/@t
  12.   ภඍ෼ํఔࣜϩʔΧϧͳྔͰهड़͞Εͨํఔࣜ  <latexit 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+l4sLSB6t1u50Xvrn+Jv/wS977MWcvh0gbs5BXRylACvc2TSemn6oHUdJ6XWKAK/1F4zwY/vHqm3t7Rfwwyy8xbqKLA/Rf67bFnI0gS1sY+EH3ubWMCxJDP1H+PGO+QqrfYVBVsnLLW6hXSfBbpnKmL4ljCunYvci/MQbmbx/dxAWHsb3ReQc7LNFEP7xf14IeXix4yz0Bxm32cnOt+r/q4QjFFD6O1MPhhFGcT+dgNncJXf+mAu3zuq2AZAp61wo/AizMvy5uCXsLDhrczzYVanlwVgMHU28XPvhn8RnjjPL/fWHUe55wV6nTOy39DjZeRHgD+Hq2rq681VOekaYhX/S61WrGZ/v+JFlcoqCv1hl8CcuSPMc6SfD4uwb//+M3aZvfvkJYvbl5tbP7HxuuL12u/227+RunnK/+88i8r365srvx25XcrhyvnK9crwQqs/O/KH1b++Pr/vn/+/fr3G6bpT3/S9PmnFefn+9/+P0slpuQ=</latexit> 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    Թ౓ ೤֦ࢄํఔࣜ <latexit 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</latexit> @u @t = ↵r · ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ ۭؒೋ֊ඍ෼ɹɹɹɹɹ͕ਖ਼ ˠपғ͔Β೤͕ೖͬͯ͘Δ <latexit 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</latexit> @2u/@x2 ࣌ؒඍ෼ɹɹɹɹ͕ਖ਼ ˠԹ౓্͕͕Δ <latexit 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tPxYGkD1bvdzoveXf8Sf/kl7n2Zs5bDpQ3YySuilaEEepsnk9JP1QOp6TwvsUAV/qPwng1+ePVMvb2j/xhklpm3UEWB+y/022PPRpAkrI19IPrc28YEiCGfqf8eMd4hVW+xqSrYOGWt1Suk+SzSOVMXxbGEde1e5F6Yg3I3j+/jAsLY3+i8gpyXaaIe3i/qwQ8vFz1knoHiNvs4Odf9XvVxhWKKHkZrYfDDKM4m8rEbOoWv/tIBd/ncV8EyBDxrhR+BF2deljcFvYSHDW9nmgu1PLkqAIOpt4uffTP4jfDGeX6/seo8zjkr1Omcl/+GGi8jPQD8PVpXV19rqM5J0xCv+l1qtWIz/f8TLa5QUFfqDb8E5MgfY5wl+Xxcgn//8Zu1ze7fIS1f3Lza2PyPjdcXr9d+t938jdLPV/555V9Wvl3ZXPntyu9WDlfOV65XghVY+d+VP6z88fX/ff/8+/XvN0zTn/6k6fNPK87P97/9f+pwpuc=</latexit> x Թ౓ ۭؒೋ֊ඍ෼ɹɹɹɹɹ͕ྵ ˠ೤͕ೖΔ෼͚ͩग़͍ͯ͘ <latexit 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</latexit> @2u/@x2 ࣌ؒඍ෼ɹɹɹɹ͕ྵ ˠԹ౓͸มΘΒͳ͍ <latexit 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6onAS57PFjwN5iOB0sbqN7tdl707vqX+Msvce/LnLUcLW3ATl4RrQwl0Js8mZZ+qh5Ize7zEgtU4T8K79ngx1fP1Ns7+o9B5pl5C1UUuP9Cvz32bAxJwtrYB6LPvW1MgBjymfrvEeMdUvUWm6qCjVPWWr1Cms8jnTN1URxLWNfuRe6FOSh39/FdXEAY+xudV5DzMk3Uw/tFPfjx5aKHzDNQ3GYfJ+91v1d9XKGYoofRWhioP9GZysdu6BS++ksH3OWhr4JlBHjWCj8CL868LG8KegkPG97OLBdqeXJVAAYzbxc/+2bwG+FN8vxuY9V5nHNWqNM5L/8JNV5GegD4e7yurr7VUJ2TpiFe9bvUasVm+v8nWlyioC7VG34JyLE/wThL8vtJCf7dp+/WNrt/h7R8cf1qY/NfNl6fv177w3bzN0q/WPn7lX9Y+X5lc+VfV/6wcrgyXLlaCVbKlf9c+a+V/37zqzev3vz2ze9M05//rOnzdyvOz5vd/wWHN6wH</latexit> 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x Թ౓ ۭؒೋ֊ඍ෼ɹɹɹɹɹ͕ෛ ˠपғ΁೤͕ಀ͍͛ͯ͘ <latexit 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</latexit> @2u/@x2 ࣌ؒඍ෼ɹɹɹɹ͕ਖ਼ ˠԹ౓্͕͕Δ <latexit 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</latexit> @u/@t
  13.   ภඍ෼ํఔࣜϩʔΧϧͳྔͰهड़͞Εͨํఔࣜ  <latexit 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+l4sLSB6t1u50Xvrn+Jv/wS977MWcvh0gbs5BXRylACvc2TSemn6oHUdJ6XWKAK/1F4zwY/vHqm3t7Rfwwyy8xbqKLA/Rf67bFnI0gS1sY+EH3ubWMCxJDP1H+PGO+QqrfYVBVsnLLW6hXSfBbpnKmL4ljCunYvci/MQbmbx/dxAWHsb3ReQc7LNFEP7xf14IeXix4yz0Bxm32cnOt+r/q4QjFFD6O1MPhhFGcT+dgNncJXf+mAu3zuq2AZAp61wo/AizMvy5uCXsLDhrczzYVanlwVgMHU28XPvhn8RnjjPL/fWHUe55wV6nTOy39DjZeRHgD+Hq2rq681VOekaYhX/S61WrGZ/v+JFlcoqCv1hl8CcuSPMc6SfD4uwb//+M3aZvfvkJYvbl5tbP7HxuuL12u/227+RunnK/+88i8r365srvx25XcrhyvnK9crwQqs/O/KH1b++Pr/vn/+/fr3G6bpT3/S9PmnFefn+9/+P0slpuQ=</latexit> u Թ౓ <latexit 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    @u @t = ↵r · ru <latexit 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EsHtNthssjNS0z2Idu8lyKZ6Nl/0U8CfPagN+VvMB305jZQv9vtvejd9q/wV1Di3pc5a3k+twGbeUW0NrRAr/NkVAapfiA1vs9LLFBl8CjFs97HtWf67R3zxyCTzL6FKgvcf2neHnvWhyRhbdwD0ediAxMghnym/3vEeIdUv8Wmq2DrlLXWr5Dmk8jkTFMUxwqWjXuZi2EO2t19fBcXMIyDldYryHmZJvrh/bTufXw57SDzDDS32sWpe9NvrYsrNFN0MEYLvY/9OBupx3boFIH+Swfc5ZNAB8s54FkrgwhEnIksbwp6BQ8rYnOcS708uS4Aw7HYws++GXwrxSDP71YWvcc5x4U+nfPy31HjZWQGgL/7y/rqaw31OWkb4lW3S6NWbGb+f6LFBQrqQr/hl4DqBwOMsyS/H5QQ3N1+s7Ta/juk+YurtZXV/1x5dfpq6Q8bzd8o/Wzh1wu/WfhuYXXhvxb+sLC3cLJwuRAu/O/Cnxb+vPCX19++Pnx98frKNv3xj5o+/7rg/by+/T8GpLXc</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ <latexit 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tPxYGkD1bvdzoveXf8Sf/kl7n2Zs5bDpQ3YySuilaEEepsnk9JP1QOp6TwvsUAV/qPwng1+ePVMvb2j/xhklpm3UEWB+y/022PPRpAkrI19IPrc28YEiCGfqf8eMd4hVW+xqSrYOGWt1Suk+SzSOVMXxbGEde1e5F6Yg3I3j+/jAsLY3+i8gpyXaaIe3i/qwQ8vFz1knoHiNvs4Odf9XvVxhWKKHkZrYfDDKM4m8rEbOoWv/tIBd/ncV8EyBDxrhR+BF2deljcFvYSHDW9nmgu1PLkqAIOpt4uffTP4jfDGeX6/seo8zjkr1Omcl/+GGi8jPQD8PVpXV19rqM5J0xCv+l1qtWIz/f8TLa5QUFfqDb8E5MgfY5wl+Xxcgn//8Zu1ze7fIS1f3Lza2PyPjdcXr9d+t938jdLPV/555V9Wvl3ZXPntyu9WDlfOV65XghVY+d+VP6z88fX/ff/8+/XvN0zTn/6k6fNPK87P97/9f+pwpuc=</latexit> x ೤֦ࢄํఔࣜ • ہॴతͳڍಈͷ༧ଌΛશମʹுΓ߹ΘͤΔ͜ͱͰେҬతͳ༧ଌ͕Ͱ͖Δ
  14.   ภඍ෼ํఔࣜϩʔΧϧͳྔͰهड़͞Εͨํఔࣜ  <latexit 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+l4sLSB6t1u50Xvrn+Jv/wS977MWcvh0gbs5BXRylACvc2TSemn6oHUdJ6XWKAK/1F4zwY/vHqm3t7Rfwwyy8xbqKLA/Rf67bFnI0gS1sY+EH3ubWMCxJDP1H+PGO+QqrfYVBVsnLLW6hXSfBbpnKmL4ljCunYvci/MQbmbx/dxAWHsb3ReQc7LNFEP7xf14IeXix4yz0Bxm32cnOt+r/q4QjFFD6O1MPhhFGcT+dgNncJXf+mAu3zuq2AZAp61wo/AizMvy5uCXsLDhrczzYVanlwVgMHU28XPvhn8RnjjPL/fWHUe55wV6nTOy39DjZeRHgD+Hq2rq681VOekaYhX/S61WrGZ/v+JFlcoqCv1hl8CcuSPMc6SfD4uwb//+M3aZvfvkJYvbl5tbP7HxuuL12u/227+RunnK/+88i8r365srvx25XcrhyvnK9crwQqs/O/KH1b++Pr/vn/+/fr3G6bpT3/S9PmnFefn+9/+P0slpuQ=</latexit> u Թ౓ <latexit 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    @u @t = ↵r · ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ <latexit 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tPxYGkD1bvdzoveXf8Sf/kl7n2Zs5bDpQ3YySuilaEEepsnk9JP1QOp6TwvsUAV/qPwng1+ePVMvb2j/xhklpm3UEWB+y/022PPRpAkrI19IPrc28YEiCGfqf8eMd4hVW+xqSrYOGWt1Suk+SzSOVMXxbGEde1e5F6Yg3I3j+/jAsLY3+i8gpyXaaIe3i/qwQ8vFz1knoHiNvs4Odf9XvVxhWKKHkZrYfDDKM4m8rEbOoWv/tIBd/ncV8EyBDxrhR+BF2deljcFvYSHDW9nmgu1PLkqAIOpt4uffTP4jfDGeX6/seo8zjkr1Omcl/+GGi8jPQD8PVpXV19rqM5J0xCv+l1qtWIz/f8TLa5QUFfqDb8E5MgfY5wl+Xxcgn//8Zu1ze7fIS1f3Lza2PyPjdcXr9d+t938jdLPV/555V9Wvl3ZXPntyu9WDlfOV65XghVY+d+VP6z88fX/ff/8+/XvN0zTn/6k6fNPK87P97/9f+pwpuc=</latexit> x ೤֦ࢄํఔࣜ • ֦ࢄํఔࣜ͸ؔ਺ͷԜತ ಛ௃ ΛݮΒ͢Α͏ʹ࣌ؒมԽ͢Δ - ֦ࢄաఔͷٯաఔΛֶश͠ϊΠζ͔Βಛ௃Λੜ੒͢Δͷ͕EJGGVTJPONPEFM • ہॴతͳڍಈͷ༧ଌΛશମʹுΓ߹ΘͤΔ͜ͱͰେҬతͳ༧ଌ͕Ͱ͖Δ
  15.   ภඍ෼ํఔࣜϩʔΧϧͳྔͰهड़͞Εͨํఔࣜ  <latexit sha1_base64="qh1SCxq77DXyObkCsgtzXjdAsys=">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</latexit> @u @t = ↵r

    · ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ <latexit 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tPxYGkD1bvdzoveXf8Sf/kl7n2Zs5bDpQ3YySuilaEEepsnk9JP1QOp6TwvsUAV/qPwng1+ePVMvb2j/xhklpm3UEWB+y/022PPRpAkrI19IPrc28YEiCGfqf8eMd4hVW+xqSrYOGWt1Suk+SzSOVMXxbGEde1e5F6Yg3I3j+/jAsLY3+i8gpyXaaIe3i/qwQ8vFz1knoHiNvs4Odf9XvVxhWKKHkZrYfDDKM4m8rEbOoWv/tIBd/ncV8EyBDxrhR+BF2deljcFvYSHDW9nmgu1PLkqAIOpt4uffTP4jfDGeX6/seo8zjkr1Omcl/+GGi8jPQD8PVpXV19rqM5J0xCv+l1qtWIz/f8TLa5QUFfqDb8E5MgfY5wl+Xxcgn//8Zu1ze7fIS1f3Lza2PyPjdcXr9d+t938jdLPV/555V9Wvl3ZXPntyu9WDlfOV65XghVY+d+VP6z88fX/ff/8+/XvN0zTn/6k6fNPK87P97/9f+pwpuc=</latexit> x Թ౓ ೤֦ࢄํఔࣜ • ղੳྖҬͷڥքͰ͸ۭؒඍ෼͕Ͱ͖ͳ͍ͷͰ 
 ภඍ෼ํఔ͔ࣜΒ͸ղ͕ܾఆͰ͖ͳ͍
  16.   ภඍ෼ํఔࣜϩʔΧϧͳྔͰهड़͞Εͨํఔࣜ  <latexit 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</latexit> @u @t = ↵r

    · ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ <latexit 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tPxYGkD1bvdzoveXf8Sf/kl7n2Zs5bDpQ3YySuilaEEepsnk9JP1QOp6TwvsUAV/qPwng1+ePVMvb2j/xhklpm3UEWB+y/022PPRpAkrI19IPrc28YEiCGfqf8eMd4hVW+xqSrYOGWt1Suk+SzSOVMXxbGEde1e5F6Yg3I3j+/jAsLY3+i8gpyXaaIe3i/qwQ8vFz1knoHiNvs4Odf9XvVxhWKKHkZrYfDDKM4m8rEbOoWv/tIBd/ncV8EyBDxrhR+BF2deljcFvYSHDW9nmgu1PLkqAIOpt4uffTP4jfDGeX6/seo8zjkr1Omcl/+GGi8jPQD8PVpXV19rqM5J0xCv+l1qtWIz/f8TLa5QUFfqDb8E5MgfY5wl+Xxcgn//8Zu1ze7fIS1f3Lza2PyPjdcXr9d+t938jdLPV/555V9Wvl3ZXPntyu9WDlfOV65XghVY+d+VP6z88fX/ff/8+/XvN0zTn/6k6fNPK87P97/9f+pwpuc=</latexit> x Թ౓ ೤֦ࢄํఔࣜ • ڥք্ͷΈڥք৚݅ͱ͍͏௥Ճ৘ใΛ༩͑Δඞཁ͕͋Δ - %JSJDIMFUڥք৚݅ڥք্ͷղͷ஋Λ௚઀ࢦఆ - /FVNBOOڥք৚݅ 
 ڥք্ͷ ๏ઢํ޲ͷ ඍ෼ͷ஋Λࢦఆ - ॳظ৚݅࣌ؒํ޲ͷ ͓΋ʹ࣌ࠁͰͷ ڥք৚݅ • ղੳྖҬͷڥքͰ͸ۭؒඍ෼͕Ͱ͖ͳ͍ͷͰ 
 ภඍ෼ํఔ͔ࣜΒ͸ղ͕ܾఆͰ͖ͳ͍
  17.   ภඍ෼ํఔࣜϩʔΧϧͳྔͰهड़͞Εͨํఔࣜ  <latexit sha1_base64="qh1SCxq77DXyObkCsgtzXjdAsys=">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</latexit> @u @t = ↵r

    · ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ <latexit 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tPxYGkD1bvdzoveXf8Sf/kl7n2Zs5bDpQ3YySuilaEEepsnk9JP1QOp6TwvsUAV/qPwng1+ePVMvb2j/xhklpm3UEWB+y/022PPRpAkrI19IPrc28YEiCGfqf8eMd4hVW+xqSrYOGWt1Suk+SzSOVMXxbGEde1e5F6Yg3I3j+/jAsLY3+i8gpyXaaIe3i/qwQ8vFz1knoHiNvs4Odf9XvVxhWKKHkZrYfDDKM4m8rEbOoWv/tIBd/ncV8EyBDxrhR+BF2deljcFvYSHDW9nmgu1PLkqAIOpt4uffTP4jfDGeX6/seo8zjkr1Omcl/+GGi8jPQD8PVpXV19rqM5J0xCv+l1qtWIz/f8TLa5QUFfqDb8E5MgfY5wl+Xxcgn//8Zu1ze7fIS1f3Lza2PyPjdcXr9d+t938jdLPV/555V9Wvl3ZXPntyu9WDlfOV65XghVY+d+VP6z88fX/ff/8+/XvN0zTn/6k6fNPK87P97/9f+pwpuc=</latexit> x Թ౓ • ೤֦ࢄͷ৔߹ɺڥք৚݅͸ղੳର৅ͷʮ֎ଆʯͷԹ౓΍೤ͳͲͷ৚݅Λهड़ ೤֦ࢄํఔࣜ • ڥք্ͷΈڥք৚݅ͱ͍͏௥Ճ৘ใΛ༩͑Δඞཁ͕͋Δ - %JSJDIMFUڥք৚݅ڥք্ͷղͷ஋Λ௚઀ࢦఆ - /FVNBOOڥք৚݅ 
 ڥք্ͷ ๏ઢํ޲ͷ ඍ෼ͷ஋Λࢦఆ - ॳظ৚݅࣌ؒํ޲ͷ ͓΋ʹ࣌ࠁͰͷ ڥք৚݅ • ղੳྖҬͷڥքͰ͸ۭؒඍ෼͕Ͱ͖ͳ͍ͷͰ 
 ภඍ෼ํఔ͔ࣜΒ͸ղ͕ܾఆͰ͖ͳ͍
  18.   ภඍ෼ํఔࣜϩʔΧϧͳྔͰهड़͞Εͨํఔࣜ  <latexit sha1_base64="qh1SCxq77DXyObkCsgtzXjdAsys=">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</latexit> @u @t = ↵r

    · ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ <latexit 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tPxYGkD1bvdzoveXf8Sf/kl7n2Zs5bDpQ3YySuilaEEepsnk9JP1QOp6TwvsUAV/qPwng1+ePVMvb2j/xhklpm3UEWB+y/022PPRpAkrI19IPrc28YEiCGfqf8eMd4hVW+xqSrYOGWt1Suk+SzSOVMXxbGEde1e5F6Yg3I3j+/jAsLY3+i8gpyXaaIe3i/qwQ8vFz1knoHiNvs4Odf9XvVxhWKKHkZrYfDDKM4m8rEbOoWv/tIBd/ncV8EyBDxrhR+BF2deljcFvYSHDW9nmgu1PLkqAIOpt4uffTP4jfDGeX6/seo8zjkr1Omcl/+GGi8jPQD8PVpXV19rqM5J0xCv+l1qtWIz/f8TLa5QUFfqDb8E5MgfY5wl+Xxcgn//8Zu1ze7fIS1f3Lza2PyPjdcXr9d+t938jdLPV/555V9Wvl3ZXPntyu9WDlfOV65XghVY+d+VP6z88fX/ff/8+/XvN0zTn/6k6fNPK87P97/9f+pwpuc=</latexit> x Թ౓ • ೤֦ࢄͷ৔߹ɺڥք৚݅͸ղੳର৅ͷʮ֎ଆʯͷԹ౓΍೤ͳͲͷ৚݅Λهड़ ➡ ڥք৚͕݅ҟͳΕ͹ҟͳΔ໰୊ʹͳΔͨΊɺภඍ෼ํఔࣜ͸ڥք৚݅ͱϫϯηοτ ೤֦ࢄํఔࣜ • ڥք্ͷΈڥք৚݅ͱ͍͏௥Ճ৘ใΛ༩͑Δඞཁ͕͋Δ - %JSJDIMFUڥք৚݅ڥք্ͷղͷ஋Λ௚઀ࢦఆ - /FVNBOOڥք৚݅ 
 ڥք্ͷ ๏ઢํ޲ͷ ඍ෼ͷ஋Λࢦఆ - ॳظ৚݅࣌ؒํ޲ͷ ͓΋ʹ࣌ࠁͰͷ ڥք৚݅ • ղੳྖҬͷڥքͰ͸ۭؒඍ෼͕Ͱ͖ͳ͍ͷͰ 
 ภඍ෼ํఔ͔ࣜΒ͸ղ͕ܾఆͰ͖ͳ͍
  19.   ภඍ෼ํఔࣜͷ਺஋ղੳ࣌ؒͱۭؒΛ཭ࢄԽ ͻͱͭͷྫ  <latexit 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</latexit> @u @t =

    ↵r · ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ ೤֦ࢄํఔࣜ <latexit 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+l4sLSB6t1u50Xvrn+Jv/wS977MWcvh0gbs5BXRylACvc2TSemn6oHUdJ6XWKAK/1F4zwY/vHqm3t7Rfwwyy8xbqKLA/Rf67bFnI0gS1sY+EH3ubWMCxJDP1H+PGO+QqrfYVBVsnLLW6hXSfBbpnKmL4ljCunYvci/MQbmbx/dxAWHsb3ReQc7LNFEP7xf14IeXix4yz0Bxm32cnOt+r/q4QjFFD6O1MPhhFGcT+dgNncJXf+mAu3zuq2AZAp61wo/AizMvy5uCXsLDhrczzYVanlwVgMHU28XPvhn8RnjjPL/fWHUe55wV6nTOy39DjZeRHgD+Hq2rq681VOekaYhX/S61WrGZ/v+JFlcoqCv1hl8CcuSPMc6SfD4uwb//+M3aZvfvkJYvbl5tbP7HxuuL12u/227+RunnK/+88i8r365srvx25XcrhyvnK9crwQqs/O/KH1b++Pr/vn/+/fr3G6bpT3/S9PmnFefn+9/+P0slpuQ=</latexit> u Թ౓ <latexit 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8F0PFjaQPVut/Oid9e/xF9+iXtf5qzlcGkDdvKKaGUogd7myaT0U/VAajrPSyxQhf8ovGeDn189U2/v6D8GmWXmLVRR4P4L/fbYsxEkCWtjH4g+97YxAWLIZ+q/R4x3SNVbbKoKNk5Za/UKaT6LdM7URXEsYV27F7kX5qDczeP7uIAw9jc6ryDnZZqoh/eLevDzy0UPmWeguM0+Ts51v1d9XKGYoofRWhj8PIqziXzshk7hq790wF0+91WwDAHPWuFH4MWZl+VNQS/hYcPbmeZCLU+uCsBg6u3iZ98MfhDeOM/vN1adxzlnhTqd8/IfUeNlpAeAv0fr6upbDdU5aRriVb9LrVZspv9/osUVCupKveGXgBz5Y4yzJJ+PS/DvP32/ttn9O6Tli5tXG5u/23h98Xrt99vN3yj9ZuXvVv5+5ceVzZV/Xvn9yuHK+cr1SrASrfznyn+t/Peb79788GbjzUvT9FffNX3+dsX5efOv/wvz2abE</latexit> 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</latexit> u(xi + x) <latexit 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</latexit> xi + x <latexit 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</latexit> xi x • ܭࢉػͰภඍ෼ํఔࣜΛղ͖΍͘͢͢ΔͨΊʹ 
 ۭؒΛ༗ݶݸͷ఺ʹ཭ࢄԽ
  20.   ภඍ෼ํఔࣜͷ਺஋ղੳ࣌ؒͱۭؒΛ཭ࢄԽ ͻͱͭͷྫ  <latexit sha1_base64="qh1SCxq77DXyObkCsgtzXjdAsys=">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</latexit> @u @t =

    ↵r · ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ ೤֦ࢄํఔࣜ <latexit 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</latexit> @u @x (xi) ⇡ u(xi + x) u(xi) x <latexit 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+l4sLSB6t1u50Xvrn+Jv/wS977MWcvh0gbs5BXRylACvc2TSemn6oHUdJ6XWKAK/1F4zwY/vHqm3t7Rfwwyy8xbqKLA/Rf67bFnI0gS1sY+EH3ubWMCxJDP1H+PGO+QqrfYVBVsnLLW6hXSfBbpnKmL4ljCunYvci/MQbmbx/dxAWHsb3ReQc7LNFEP7xf14IeXix4yz0Bxm32cnOt+r/q4QjFFD6O1MPhhFGcT+dgNncJXf+mAu3zuq2AZAp61wo/AizMvy5uCXsLDhrczzYVanlwVgMHU28XPvhn8RnjjPL/fWHUe55wV6nTOy39DjZeRHgD+Hq2rq681VOekaYhX/S61WrGZ/v+JFlcoqCv1hl8CcuSPMc6SfD4uwb//+M3aZvfvkJYvbl5tbP7HxuuL12u/227+RunnK/+88i8r365srvx25XcrhyvnK9crwQqs/O/KH1b++Pr/vn/+/fr3G6bpT3/S9PmnFefn+9/+P0slpuQ=</latexit> u Թ౓ <latexit 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8F0PFjaQPVut/Oid9e/xF9+iXtf5qzlcGkDdvKKaGUogd7myaT0U/VAajrPSyxQhf8ovGeDn189U2/v6D8GmWXmLVRR4P4L/fbYsxEkCWtjH4g+97YxAWLIZ+q/R4x3SNVbbKoKNk5Za/UKaT6LdM7URXEsYV27F7kX5qDczeP7uIAw9jc6ryDnZZqoh/eLevDzy0UPmWeguM0+Ts51v1d9XKGYoofRWhj8PIqziXzshk7hq790wF0+91WwDAHPWuFH4MWZl+VNQS/hYcPbmeZCLU+uCsBg6u3iZ98MfhDeOM/vN1adxzlnhTqd8/IfUeNlpAeAv0fr6upbDdU5aRriVb9LrVZspv9/osUVCupKveGXgBz5Y4yzJJ+PS/DvP32/ttn9O6Tli5tXG5u/23h98Xrt99vN3yj9ZuXvVv5+5ceVzZV/Xvn9yuHK+cr1SrASrfznyn+t/Peb79788GbjzUvT9FffNX3+dsX5efOv/wvz2abE</latexit> 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</latexit> u(xi + x) <latexit 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</latexit> xi + x <latexit 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</latexit> xi x • ܭࢉػͰภඍ෼ํఔࣜΛղ͖΍͘͢͢ΔͨΊʹ 
 ۭؒΛ༗ݶݸͷ఺ʹ཭ࢄԽ
  21.   ภඍ෼ํఔࣜͷ਺஋ղੳ࣌ؒͱۭؒΛ཭ࢄԽ ͻͱͭͷྫ  <latexit sha1_base64="qh1SCxq77DXyObkCsgtzXjdAsys=">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</latexit> @u @t =

    ↵r · ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ ೤֦ࢄํఔࣜ <latexit 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hXNUVvxOIay7VrmY5UGj9TSAe12mCxy8xKTfci26KVIpnr2X/WTAJ897M/4G0yH/YUN1O92ey96t/0r/BWUuPdlzlpeLGzAdl4RrQ0t0Js8GZdBqh9ITR7yEgtUGTxJ8aL/0+sX+u0d88cg08y+hSoL3H9p3h57MYAkYW3cA9GXYgsTIIZ8pv97wniHVL/Fpqtg65S11q+Q5tPI5ExTFMcKVo17mYtRDtrdQ3wfFzCKg/XWK8h5mSb64f2s7v/0atZB5hlobqOLUw+m3+surtBM0cEYLfR/GsTZWD21Q6cI9F864C6fBjpYLgDPWhlEIOJMZHlT0Ct4XBfbk1zq5cl1ARhOxA5+9s3gd1IM8/x+fdl7nHNS6NM5L/8eNV5GZgD4e7Cqr77VUJ+TtiFedbs0asVm5v9nWlyioC71G34JqEEwxDhL8odhCcH93XcrG+2/Q1q8uH69vvFP62/O3qz8fqv5G6VfL/3t0t8tfb+0sfTPS79f2l86XbpaCpf+Y+k/l/576X/e9t7evy3fKtv0l79o+vx2yft5O/tfSKbA2g==</latexit> @u @x (xi) ⇡ u(xi + x) u(xi) x <latexit 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</latexit> @2u @x2 (xi) ⇡ @ @x u(xi + x) u(xi) x ⇡ 1 ( x)  u(xi + x) u(xi) x u(xi) u(xi x) x = u(xi + x) 2u(xi) + u(xi x) ( x)2 <latexit 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+l4sLSB6t1u50Xvrn+Jv/wS977MWcvh0gbs5BXRylACvc2TSemn6oHUdJ6XWKAK/1F4zwY/vHqm3t7Rfwwyy8xbqKLA/Rf67bFnI0gS1sY+EH3ubWMCxJDP1H+PGO+QqrfYVBVsnLLW6hXSfBbpnKmL4ljCunYvci/MQbmbx/dxAWHsb3ReQc7LNFEP7xf14IeXix4yz0Bxm32cnOt+r/q4QjFFD6O1MPhhFGcT+dgNncJXf+mAu3zuq2AZAp61wo/AizMvy5uCXsLDhrczzYVanlwVgMHU28XPvhn8RnjjPL/fWHUe55wV6nTOy39DjZeRHgD+Hq2rq681VOekaYhX/S61WrGZ/v+JFlcoqCv1hl8CcuSPMc6SfD4uwb//+M3aZvfvkJYvbl5tbP7HxuuL12u/227+RunnK/+88i8r365srvx25XcrhyvnK9crwQqs/O/KH1b++Pr/vn/+/fr3G6bpT3/S9PmnFefn+9/+P0slpuQ=</latexit> u Թ౓ <latexit 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8F0PFjaQPVut/Oid9e/xF9+iXtf5qzlcGkDdvKKaGUogd7myaT0U/VAajrPSyxQhf8ovGeDn189U2/v6D8GmWXmLVRR4P4L/fbYsxEkCWtjH4g+97YxAWLIZ+q/R4x3SNVbbKoKNk5Za/UKaT6LdM7URXEsYV27F7kX5qDczeP7uIAw9jc6ryDnZZqoh/eLevDzy0UPmWeguM0+Ts51v1d9XKGYoofRWhj8PIqziXzshk7hq790wF0+91WwDAHPWuFH4MWZl+VNQS/hYcPbmeZCLU+uCsBg6u3iZ98MfhDeOM/vN1adxzlnhTqd8/IfUeNlpAeAv0fr6upbDdU5aRriVb9LrVZspv9/osUVCupKveGXgBz5Y4yzJJ+PS/DvP32/ttn9O6Tli5tXG5u/23h98Xrt99vN3yj9ZuXvVv5+5ceVzZV/Xvn9yuHK+cr1SrASrfznyn+t/Peb79788GbjzUvT9FffNX3+dsX5efOv/wvz2abE</latexit> 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</latexit> u(xi + x) <latexit 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</latexit> xi + x <latexit 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</latexit> xi x • ܭࢉػͰภඍ෼ํఔࣜΛղ͖΍͘͢͢ΔͨΊʹ 
 ۭؒΛ༗ݶݸͷ఺ʹ཭ࢄԽ <latexit 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</latexit> @2u @x2 (xi) ⇡ @ @x u(xi + x) u(xi) x ⇡ 1 ( x)  u(xi + x) u(xi) x u(xi) u(xi x) x = u(xi + x) 2u(xi) + u(xi x) ( x)2 <latexit sha1_base64="Q7/SHogD31woguginoMIKJo/t+Y=">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</latexit> @2u @x2 (xi) ⇡ @ @x u(xi + x) u(xi) x ⇡ 1 ( x)  u(xi + x) u(xi) x u(xi) u(xi x) x = u(xi + x) 2u(xi) + u(xi x) ( x)2 <latexit sha1_base64="Q7/SHogD31woguginoMIKJo/t+Y=">AAA2rXiclVvbdtzKcaXsJHaY2zn2o196hVKsE5O0yKMl5yHJMq8ixeFFvEsaiQszU4OBiJvQPSApePIX+Zq8Jh+Rv0l1NxpVjQF1Yq4lEb13daEvu7pqMOAgjyOpXrz43yc/+/lf/OVf/eKXf734N3/7d3//D999/6tLmU2LIVwMszgrrgeBhDhK4UJFKobrvIAgGcRwNbjd0vxVCYWMsvRcPeTwMQnCNBpHw0AhdPP9k9V+PorG4+rTupjOqvtP67Pn9zfRD+Kf+kGeF9m9qHnkZqI/LoJhNdUW4neivw2xCsT9D2JFGOyHWeWw2WK/v0g+TL+1WfW86YMGMYzVh8U/x+cKt25M8De55SMoonCiPpqR/Ns37rNe3wnhDn80ZFybxZvvll6svjA/Yv5irb5YWqh/Tm6+fznuj7LhNIFUDeNAyg9rL3L1sQoKFQ1jwFFOJeTB8DYI4QNepkEC8mNldnYmniEyEuOswH+pEgblPaogkfIhGaBlEqiJbHMa7OQGiXfn6kH7l63RqPG/fKyiNJ8qSId2MONpLFQmtJTEKCpgqOIHvAiGRYTzEcNJgKusUHCedxXdfvXvp0eksiz2b1mVQXEXjXDMHpoHhbyNch+0K+RB9x2YvvXKcIRgCnfDLEmCdFT1taRnH9Y/VlYVI7GE4sT/12czIZ5lxShKg0JPbDyGAncuCmLfQd7y0M/1hgaxcUQN9Of3i9Kmo76p+L0wd8WbRumKDmLx/7g5bgndnm6MzvidmU+HPu5ymkZq9mEN/Ym+3psiqT4srX00y6E5cRepiZBfpkEBYoAzvgUlfReBsgPSYb2qh2Pj70831fwyjCDG9W6BcprnZgyfqudLaz+0+8jpwLA3boC41C2TC1z7QVJdtPFLi18i/kx4DFgG5vcJDy6az7/ifJZxUes5/fucn8ugsMtXj023Tc9+RUvRn7//jtdrp7uPv8wDaftoyz+xdZ4tLi4+0z/iaOdKHG6c74ntnd39o/3z/eOjM2Goxa4DYhl/m/Bf1qcCjvAwKG6FxNjGFCFFNhbDILfX+iQqADVURGmoD4JRVEbSmY2jcFpASxYI6pHOKlzsRDzv4fXc1qLNEFUJhbPaMq0uOzNXZ3aqG11WKsudzXmWd1kMMqWyxBltmtacXT3vwJkFj1kMnMXgMYuhsxg+ZjFyFiNtgduwh7OL9QxFINBeH7QwxnAeCVybxPeB1xo0ykBFj4UJDu1l12yK3TU8xmFZxNkdFCtDrBpWFzESx2ZZYby0VtkN/I8+tmx0dXXH4UYqiFfFLopBKjxa9N5LvWPIW4+7zuNu26Oh1V3m7rm0Xt9VCmckcEZ1Y931wINnRF2Wflx6Oddtuenjrn7krl6a6ZxZVX9zOVD5dvB1CHjr0eHALYjtfeZ6n3X0PnW9TBK9y5ooW20Wxt5dmpVpYvCRpWk7nBQAbZfM39KP8x5p1ZjvH+d9B6kA3ATduWPJ4IudszN5fNKeHzzwoRDaj3WzU7vZ6XKzIYrgjta95WxlZSUos2gkplIfTdFY5JmUEdbB1nUeBxg6tf/HR6crmBwjqWOOmrHda5s/e5K1o63G0dZPOsI5pyGYM9jaSuvDwM2IUCqOdq5WVh6VCY4uiMMMK7ZJ0jFP5OzoGqNvTpS5mpvphnO10eHKCd7dDyfR+Pr2YXDuddr4yU5zi6rroXrmTH0atcPVV9/aFNu/rd6Tpv+J39/NtLkBjlpfPzrgWnAQxVqssb6wiV5f1f7GcZYVhjZXljeXtcGaqWzmaiRVYCDMbMkxDOJqu21QBnE04gY3TX1iqdmcS5Cqu4NhZs2MIJc6x+UyirO0zk+n6CJLBFb+UYDR6vQNKqi053uVZkWCXp/2EXo6c8tZtOiAmIHPDIgZ+syQmJHPjIgBnwFixj4zJib0mZCYic9MiIl8JiLms898JubWZ26JiX0mnhkZF4mIJEZsAcHoQR92dgeXxeepVGKUpb9VQn8ARTk+6JPH2xiR1L5T33dKd818JiMm95mcmC8+84WYwmcKYqTPSGKUzyhipj4zJab0mZKYO5+5I+beZ+6JefCZB2K++szXmS3zXABgZs6a472sg6SyoTQYs7Bpxq0mNkqchWkznnEcHhDMYqMcEswCoxwRzKKiBIJZSJRjglk8lCHBLBjKCcEsEsopwSwMys8EsxgobwlmAVDGBMcMTghOGMwWmq9wRjATc5kTzJRcfiGYybgsCGYaLiXBkm8qwap7Tbh0S4KZbss7gploy3uCmWLLB4KZXMuvBDut7sSgH2SZT3tFh27Biq7zXAarvM6TGaz8Os9msBrsPJ3BCrHzfAarxs4TGqwkO89osLrsPKWRe/ScBqvQzpMarEw7z2qwWm2f1o5LfC7h3KMnMVjpdp7FYPXbeRqDFXHneQxWyZ0nMlg5d57JYDXdeSqDFXbnuQxW3Z0nM1iJd57NYHXeeTqDFXvn+QxW8Y+f0BgLRTRsKpRkg+Jjg8Im2SR4k8FbBG8xeJvgbQbvELzD4F2Cdxn8muDXDN4jeI/B+wTvM/gNwW8YfEDwAYN7BPcYfEjwIYOPCD5i8DHBxww+IfiEwW8JfsvgU4JPGXxG8BmDzwk+Z/AFwRcMviT4ksFXBF8x+Jrgawa/I/gdg98T/P7x49UXHVjVMY1uMP0a6TFuk3NbPrfFuW2f2+bcjs/tcG7X53Y599rnXnNuz+f2OLfvc/uce+Nzbzh34HMHnOv5XI9zhz53yLkjnzvi3LHPHXPuxOdOOPfW595y7tTnTjl35nNnnDv3uXPOXfjcBecufe6Sc1c+d8W5a5+75tw7n3vHufc+52R/yUuI8iuYzxH42fVF07fMUqjc51mHJVML9RNKGk1NrHG/Hi5rmCEDi1AdYqoQRKj6MLUHIlRzlPVIqNIwdQYiVF+Y6gIRqipMTYEI1RKmkkCEKghTPyBCdYOpGhChasHUCojEbB0sQpWBqQsQSdn6WYSqAFMDIEK532R+RCjjm3yPCOV5k+URkWzBLUI5vay3hW1KaRHK3yZ7I0JZ2+RsRChXm0yNCGVok58R6apG/TK0DOJ8ovfb/G4UWA5qcRhdOJA+atGTiZqKg2Qw0j3sBRFZAqHGzW+CjSS1HB2ADhHB/wmSUZjoruY3wU64tWibiVQVH3+lxepaKNYhtVCoIzapyn6pZVso0DG1UJwhtVCYE2rhcNlYUZCfqYVivGVrU2kRNjOvtABdCxeTrSKKL2NLUmnRuRaK7gu1UHAFW6lKC61ZoEqLzLVwodkyo8BKaqG47qiFwrqnForqgVooqK+z+jsvzLP3Fjc5FnVGudVkVkQoo5p8igjlUZNFEaHsaXLnIGE502RMRChTmjyJCOVHkx0RoaxociIilAtNJkSEMqDJf4hQ3jNZDxHKdibXIUI5zmQ4RCizmbyGCOUzk80QoSxmchgilLtM5kKEMpbJV4hQnjJZChHKTiY32e9rHXJZuW9qHXJlEco/JvsgQlnH5BxEKNeYTIPIe7aDlBcGPC0kJ5P6IO7jFVs9F/qa6dXh30yujmHNndk4Nio6h1TqNzS2YRgHBaCoJhv6BMI72mJPjiP9qBTSYTaK0hCdBdNYI3LcXCezSuqnvGegHnMwyOLRT7kZ3M8wCNtPatP622OTN2t/5il1PTVl68tUMvWrTYeR/tWWwygC1LbDKAbUjsMoCtSuwygO1GuHUSSoPYdRLKh9h1E0qDcOo3hQBw6jiFA9h1FMqEOHUVSoI4dRXKhjh1FkqBOHUWyotw6j6FCnDqP4UGcOowhR5w6jGFEXDqMoUZcOozhRVw6jSFHXDqNYUe8cRtGi3jvMVmQo5NdFkE8sG7rPuUPv40a4yWDSRbjFYJJGuM1gUke4w2ASSLjLYNJI+JrBJJNwj8GklHCfwSSW8A2DSS/hAYNJMmGPwaSa8JDBJJzwiMGknfCYwSSf8ITBpKDwLYNJROEpg0lH4RmDSUrhOYNJTeEFg0lQ4SWDSVPhFYNJVuE1g0lZ4TsGk7jC9wx2Ff+ZeXtI07J5ijJg4pKbhJK25BahJC25TahR1jOxbb7JmEoQgZCgBN46hpHYWRYDGAYaV5NIirtsGo8QwhYIab73wFpyWgj9Sl0WoyP9vgvc51hbmi9z3Vfqu3RHUqd8TSiJU+4RStqU+4SSNOUbQkmZ8oBQEqbsEUq6lIeEkizlEaGkSnlMKIlSnhBKmpRvCSVJylNCSZHyjFASpDwnlPQoLwglOcpLQkmN8opQEqO8JpS0KN8RSlKU7wltHrmkWPeB+QgR2IctdREIVAH0/OJfl4cb1EKpblILJbpFLZTmNrXwsNuhFopol1oontfUQtHsUQvFsk8tFMkbaqE4DqiFouhRC8VwSC0UwRG1cPOPqYWbfkIt3Oy31MJNPqUWbu4ZtXBTz6mFm3lBLdzES2rh5l1RCzftmlq4We+ohZv0nt2vrrTqKktvGfAtU7biwiNFx695SxaD2KLL5q3FbKoEljviDlNaDoVfEAFVRF41VN9eNRowhnOFIJhyCVr1EpiCCVoVE5iSCVo1E5iiCVpVE5iyCVp1E5jCCVqVE5jSCVq1E5jiCVrVE5jyCVr1E5gCCloVFJgSClo1FJgiClpVFJgyClp1FJhCClqVFJhSClq1FJhiClrVFJhyClr1FJiCCloVFZiSClo1FZiiClpVFZiyClp1FZjCClqVFZjSClq1FZjiClrVFZjyClr1FZgCC1iFhZ8UMOWoYgpimo6giB/0S0ujQAUihBQKzDa6HUlU+mCqU0/79WM0nVX5TdUvkso0TOLTXiHJoyIamtd9qX/z7uDgwaQ78xqIvgnmx5Zv94bIJFD4Sd2/hWd5wi1PZl2DSbIRxN+aiDFoZmJbc/epjU6+ZZSrKB5Bbdk3jWb0TQ88JlQ2nARSv6weTFVmPkFB4Y2w9QJrbm2aMdZd5gcwAs/ONjvsCiTw0HF2tolaGJpnaL5xHORxMIRZ80ZNrwZm4pmor/3lXWy9X9xkvJ32QHqSvbTTa7OnM57bW6dmkrM1bpFxMXPP3XyigHDWPElrU0NFc9StaBxB0XYts7FKgnuydEDbDpNFZl5isg/Z5r3k8VTP/qt+EuCzB70Zf4PpoDe3gfrdbu9F77Z/hb+CAve+yJjl2dwGbGUl0bqhBXqVxeMiSPQDqcldVmCBKoMHKZ72Pq0/1W/vmD8Gmab2LVSZ4/5L8/bY0z7EMbNxD0SfiU1MgBjyqf7vAeMdEv0Wm66CrVNmrV8hzaahyZmmKI4ULBv3MhOjDLS7u+g2ymEUBautV5CzIon1w/tZ1fv0YtZBZilobq2LU3em33oXl2sm72CMFnqf+lE6Vg/t0MkD/ZcOuMsngQ6WM8CzVgYhiCgVaVYX9AruV8XWJJN6eTJdAA4nYhs/+6bwWykGWXa7uug9zjnO9emcFf+MGi9CMwD83V/WV98y1OekNcSrbpdGrWhm/n/E4hwFda7f8ItB9YMBxlmc3Q0KCG5vvltaa/8d0vzF5frq2qvVl29fLv1xs/4bpV8u/GbhHxeeL6wt/GHhjwt7CycLFwvDJ//55L+e/PeT/3n1+1cXr/qvPlnTnz2p+/x6wft5Ff4fLqALHg==</latexit> @2u @x2 (xi) ⇡ @ @x u(xi + x) u(xi) x ⇡ 1 ( x)  u(xi + x) u(xi) x u(xi) u(xi x) x = u(xi + x) 2u(xi) + u(xi x) ( x)2 <latexit sha1_base64="Q7/SHogD31woguginoMIKJo/t+Y=">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</latexit> @2u @x2 (xi) ⇡ @ @x u(xi + x) u(xi) x ⇡ 1 ( x)  u(xi + x) u(xi) x u(xi) u(xi x) x = u(xi + x) 2u(xi) + u(xi x) ( x)2 <latexit sha1_base64="Q7/SHogD31woguginoMIKJo/t+Y=">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</latexit> @2u @x2 (xi) ⇡ @ @x u(xi + x) u(xi) x ⇡ 1 ( x)  u(xi + x) u(xi) x u(xi) u(xi x) x = u(xi + x) 2u(xi) + u(xi x) ( x)2
  22.   ภඍ෼ํఔࣜͷ਺஋ղੳ࣌ؒͱۭؒΛ཭ࢄԽ ͻͱͭͷྫ  <latexit sha1_base64="qh1SCxq77DXyObkCsgtzXjdAsys=">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</latexit> @u @t =

    ↵r · ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ ೤֦ࢄํఔࣜ <latexit 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</latexit> @2u @x2 (xi) ⇡ @ @x u(xi + x) u(xi) x ⇡ 1 ( x)  u(xi + x) u(xi) x u(xi) u(xi x) x = u(xi + x) 2u(xi) + u(xi x) ( x)2 <latexit 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+l4sLSB6t1u50Xvrn+Jv/wS977MWcvh0gbs5BXRylACvc2TSemn6oHUdJ6XWKAK/1F4zwY/vHqm3t7Rfwwyy8xbqKLA/Rf67bFnI0gS1sY+EH3ubWMCxJDP1H+PGO+QqrfYVBVsnLLW6hXSfBbpnKmL4ljCunYvci/MQbmbx/dxAWHsb3ReQc7LNFEP7xf14IeXix4yz0Bxm32cnOt+r/q4QjFFD6O1MPhhFGcT+dgNncJXf+mAu3zuq2AZAp61wo/AizMvy5uCXsLDhrczzYVanlwVgMHU28XPvhn8RnjjPL/fWHUe55wV6nTOy39DjZeRHgD+Hq2rq681VOekaYhX/S61WrGZ/v+JFlcoqCv1hl8CcuSPMc6SfD4uwb//+M3aZvfvkJYvbl5tbP7HxuuL12u/227+RunnK/+88i8r365srvx25XcrhyvnK9crwQqs/O/KH1b++Pr/vn/+/fr3G6bpT3/S9PmnFefn+9/+P0slpuQ=</latexit> u Թ౓ <latexit 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8F0PFjaQPVut/Oid9e/xF9+iXtf5qzlcGkDdvKKaGUogd7myaT0U/VAajrPSyxQhf8ovGeDn189U2/v6D8GmWXmLVRR4P4L/fbYsxEkCWtjH4g+97YxAWLIZ+q/R4x3SNVbbKoKNk5Za/UKaT6LdM7URXEsYV27F7kX5qDczeP7uIAw9jc6ryDnZZqoh/eLevDzy0UPmWeguM0+Ts51v1d9XKGYoofRWhj8PIqziXzshk7hq790wF0+91WwDAHPWuFH4MWZl+VNQS/hYcPbmeZCLU+uCsBg6u3iZ98MfhDeOM/vN1adxzlnhTqd8/IfUeNlpAeAv0fr6upbDdU5aRriVb9LrVZspv9/osUVCupKveGXgBz5Y4yzJJ+PS/DvP32/ttn9O6Tli5tXG5u/23h98Xrt99vN3yj9ZuXvVv5+5ceVzZV/Xvn9yuHK+cr1SrASrfznyn+t/Peb79788GbjzUvT9FffNX3+dsX5efOv/wvz2abE</latexit> 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</latexit> u(xi + x) <latexit 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</latexit> xi + x <latexit 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</latexit> xi x • ܭࢉػͰภඍ෼ํఔࣜΛղ͖΍͘͢͢ΔͨΊʹ 
 ۭؒΛ༗ݶݸͷ఺ʹ཭ࢄԽ <latexit 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</latexit> @2u @x2 (xi) ⇡ @ @x u(xi + x) u(xi) x ⇡ 1 ( x)  u(xi + x) u(xi) x u(xi) u(xi x) x = u(xi + x) 2u(xi) + u(xi x) ( x)2 <latexit 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</latexit> @2u @x2 (xi) ⇡ @ @x u(xi + x) u(xi) x ⇡ 1 ( x)  u(xi + x) u(xi) x u(xi) u(xi x) x = u(xi + x) 2u(xi) + u(xi x) ( x)2 • ۭؒඍ෼͸཭ࢄԽ͞Εͨ఺ͷ૬ޓ࡞༻Ͱදݱ͞ΕΔ
  23.   ภඍ෼ํఔࣜͷ਺஋ղੳ࣌ؒͱۭؒΛ཭ࢄԽ ͻͱͭͷྫ  <latexit sha1_base64="qh1SCxq77DXyObkCsgtzXjdAsys=">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</latexit> @u @t =

    ↵r · ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ ೤֦ࢄํఔࣜ <latexit 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</latexit> @2u @x2 (xi) ⇡ @ @x u(xi + x) u(xi) x ⇡ 1 ( x)  u(xi + x) u(xi) x u(xi) u(xi x) x = u(xi + x) 2u(xi) + u(xi x) ( x)2 <latexit 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+l4sLSB6t1u50Xvrn+Jv/wS977MWcvh0gbs5BXRylACvc2TSemn6oHUdJ6XWKAK/1F4zwY/vHqm3t7Rfwwyy8xbqKLA/Rf67bFnI0gS1sY+EH3ubWMCxJDP1H+PGO+QqrfYVBVsnLLW6hXSfBbpnKmL4ljCunYvci/MQbmbx/dxAWHsb3ReQc7LNFEP7xf14IeXix4yz0Bxm32cnOt+r/q4QjFFD6O1MPhhFGcT+dgNncJXf+mAu3zuq2AZAp61wo/AizMvy5uCXsLDhrczzYVanlwVgMHU28XPvhn8RnjjPL/fWHUe55wV6nTOy39DjZeRHgD+Hq2rq681VOekaYhX/S61WrGZ/v+JFlcoqCv1hl8CcuSPMc6SfD4uwb//+M3aZvfvkJYvbl5tbP7HxuuL12u/227+RunnK/+88i8r365srvx25XcrhyvnK9crwQqs/O/KH1b++Pr/vn/+/fr3G6bpT3/S9PmnFefn+9/+P0slpuQ=</latexit> u Թ౓ <latexit 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8F0PFjaQPVut/Oid9e/xF9+iXtf5qzlcGkDdvKKaGUogd7myaT0U/VAajrPSyxQhf8ovGeDn189U2/v6D8GmWXmLVRR4P4L/fbYsxEkCWtjH4g+97YxAWLIZ+q/R4x3SNVbbKoKNk5Za/UKaT6LdM7URXEsYV27F7kX5qDczeP7uIAw9jc6ryDnZZqoh/eLevDzy0UPmWeguM0+Ts51v1d9XKGYoofRWhj8PIqziXzshk7hq790wF0+91WwDAHPWuFH4MWZl+VNQS/hYcPbmeZCLU+uCsBg6u3iZ98MfhDeOM/vN1adxzlnhTqd8/IfUeNlpAeAv0fr6upbDdU5aRriVb9LrVZspv9/osUVCupKveGXgBz5Y4yzJJ+PS/DvP32/ttn9O6Tli5tXG5u/23h98Xrt99vN3yj9ZuXvVv5+5ceVzZV/Xvn9yuHK+cr1SrASrfznyn+t/Peb79788GbjzUvT9FffNX3+dsX5efOv/wvz2abE</latexit> 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</latexit> u(xi + x) <latexit 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fuv+kmAzx4OZvwNpsPBwgbqd7u9F727/hX+Circ+6pgLc8XNmCrqInWhhbodZGOqyDTD6Qmd0WFBaoMHqR4Mvj44ol+e8f8Mcg0t2+hyhL3X5q3x54MIU1ZG/dA9KnYxASIIZ/r/x4w3iHTb7HpKtg6Za31K6TFNDY50xTFiYJV414WIipAu7tLbpMSoiRY67yCXFRZqh/ez5rBx+ezHrLIQXPrfZy6M/1e9HGlZsoexmhh8HGY5GP10A2dMtB/6YC7fBroYDkHPGtlEINIcpEXbUGv4H5NbE0KqZen0AVgOBHb+Nk3h99IMSqK27Vl73HOSalP56L6J9R4FZsB4O/hqr76VkN9TtqGeNXv0qgVm5n/H2lxgYK60G/4paCGwQjjLC3uRhUEt5++W1nv/h3S4sXVi7X1f117+eblyh82279R+vnS3y/9w9L3S+tL/7b0h6X9pdOly6VwqVr6r6X/XvqfV7989eLV71793jb96U/aPn+35P282v4/Vsqqew==</latexit> xi + x <latexit 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</latexit> xi x • ܭࢉػͰภඍ෼ํఔࣜΛղ͖΍͘͢͢ΔͨΊʹ 
 ۭؒΛ༗ݶݸͷ఺ʹ཭ࢄԽ <latexit 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</latexit> @2u @x2 (xi) ⇡ @ @x u(xi + x) u(xi) x ⇡ 1 ( x)  u(xi + x) u(xi) x u(xi) u(xi x) x = u(xi + x) 2u(xi) + u(xi x) ( x)2 <latexit sha1_base64="Q7/SHogD31woguginoMIKJo/t+Y=">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</latexit> @2u @x2 (xi) ⇡ @ @x u(xi + x) u(xi) x ⇡ 1 ( x)  u(xi + x) u(xi) x u(xi) u(xi x) x = u(xi + x) 2u(xi) + u(xi x) ( x)2 • ࣍ݩۭؒͰ͸ϐΫηϧʹରԠ • ۭؒඍ෼͸཭ࢄԽ͞Εͨ఺ͷ૬ޓ࡞༻Ͱදݱ͞ΕΔ
  24.   ภඍ෼ํఔࣜͷ਺஋ղੳ࣌ؒͱۭؒΛ཭ࢄԽ ͻͱͭͷྫ  <latexit 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</latexit> @u @t =

    ↵r · ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ ೤֦ࢄํఔࣜ <latexit 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</latexit> @2u @x2 (xi) ⇡ @ @x u(xi + x) u(xi) x ⇡ 1 ( x)  u(xi + x) u(xi) x u(xi) u(xi x) x = u(xi + x) 2u(xi) + u(xi x) ( x)2 <latexit 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+l4sLSB6t1u50Xvrn+Jv/wS977MWcvh0gbs5BXRylACvc2TSemn6oHUdJ6XWKAK/1F4zwY/vHqm3t7Rfwwyy8xbqKLA/Rf67bFnI0gS1sY+EH3ubWMCxJDP1H+PGO+QqrfYVBVsnLLW6hXSfBbpnKmL4ljCunYvci/MQbmbx/dxAWHsb3ReQc7LNFEP7xf14IeXix4yz0Bxm32cnOt+r/q4QjFFD6O1MPhhFGcT+dgNncJXf+mAu3zuq2AZAp61wo/AizMvy5uCXsLDhrczzYVanlwVgMHU28XPvhn8RnjjPL/fWHUe55wV6nTOy39DjZeRHgD+Hq2rq681VOekaYhX/S61WrGZ/v+JFlcoqCv1hl8CcuSPMc6SfD4uwb//+M3aZvfvkJYvbl5tbP7HxuuL12u/227+RunnK/+88i8r365srvx25XcrhyvnK9crwQqs/O/KH1b++Pr/vn/+/fr3G6bpT3/S9PmnFefn+9/+P0slpuQ=</latexit> u Թ౓ <latexit 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8F0PFjaQPVut/Oid9e/xF9+iXtf5qzlcGkDdvKKaGUogd7myaT0U/VAajrPSyxQhf8ovGeDn189U2/v6D8GmWXmLVRR4P4L/fbYsxEkCWtjH4g+97YxAWLIZ+q/R4x3SNVbbKoKNk5Za/UKaT6LdM7URXEsYV27F7kX5qDczeP7uIAw9jc6ryDnZZqoh/eLevDzy0UPmWeguM0+Ts51v1d9XKGYoofRWhj8PIqziXzshk7hq790wF0+91WwDAHPWuFH4MWZl+VNQS/hYcPbmeZCLU+uCsBg6u3iZ98MfhDeOM/vN1adxzlnhTqd8/IfUeNlpAeAv0fr6upbDdU5aRriVb9LrVZspv9/osUVCupKveGXgBz5Y4yzJJ+PS/DvP32/ttn9O6Tli5tXG5u/23h98Xrt99vN3yj9ZuXvVv5+5ceVzZV/Xvn9yuHK+cr1SrASrfznyn+t/Peb79788GbjzUvT9FffNX3+dsX5efOv/wvz2abE</latexit> 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</latexit> u(xi + x) <latexit 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fuv+kmAzx4OZvwNpsPBwgbqd7u9F727/hX+Circ+6pgLc8XNmCrqInWhhbodZGOqyDTD6Qmd0WFBaoMHqR4Mvj44ol+e8f8Mcg0t2+hyhL3X5q3x54MIU1ZG/dA9KnYxASIIZ/r/x4w3iHTb7HpKtg6Za31K6TFNDY50xTFiYJV414WIipAu7tLbpMSoiRY67yCXFRZqh/ez5rBx+ezHrLIQXPrfZy6M/1e9HGlZsoexmhh8HGY5GP10A2dMtB/6YC7fBroYDkHPGtlEINIcpEXbUGv4H5NbE0KqZen0AVgOBHb+Nk3h99IMSqK27Vl73HOSalP56L6J9R4FZsB4O/hqr76VkN9TtqGeNXv0qgVm5n/H2lxgYK60G/4paCGwQjjLC3uRhUEt5++W1nv/h3S4sXVi7X1f117+eblyh82279R+vnS3y/9w9L3S+tL/7b0h6X9pdOly6VwqVr6r6X/XvqfV7989eLV71793jb96U/aPn+35P282v4/Vsqqew==</latexit> xi + x <latexit 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</latexit> xi x • ܭࢉػͰภඍ෼ํఔࣜΛղ͖΍͘͢͢ΔͨΊʹ 
 ۭؒΛ༗ݶݸͷ఺ʹ཭ࢄԽ <latexit 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</latexit> @2u @x2 (xi) ⇡ @ @x u(xi + x) u(xi) x ⇡ 1 ( x)  u(xi + x) u(xi) x u(xi) u(xi x) x = u(xi + x) 2u(xi) + u(xi x) ( x)2 <latexit 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</latexit> @2u @x2 (xi) ⇡ @ @x u(xi + x) u(xi) x ⇡ 1 ( x)  u(xi + x) u(xi) x u(xi) u(xi x) x = u(xi + x) 2u(xi) + u(xi x) ( x)2 • ۭؒඍ෼͸཭ࢄԽ͞Εͨ఺ͷ૬ޓ࡞༻Ͱදݱ͞ΕΔ • ࣌ؒඍ෼΋ಉ༷ʹ཭ࢄԽ͢ΔͱɹɹɹɹɹɹɹɹɹɹͳͷͰɺ࣌ؒͱۭؒΛ཭ࢄԽ͢Δͱ <latexit sha1_base64="AcmaiCkcH+2w6mWHkxKsPD+Jf1k=">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</latexit> @u @t (t) ⇡ u(t + t) u(t) t <latexit sha1_base64="2VPtkZt6aQE122HoiLkqDXeIHRk=">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</latexit> u(t + t, xi) = u(t, xi) + ↵ t ( x)2 [u(xi + x) 2u(xi) + u(xi x)]
  25.   ภඍ෼ํఔࣜͷ਺஋ղੳ࣌ؒͱۭؒΛ཭ࢄԽ ͻͱͭͷྫ  <latexit sha1_base64="qh1SCxq77DXyObkCsgtzXjdAsys=">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</latexit> @u @t =

    ↵r · ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ ೤֦ࢄํఔࣜ • ࣌ؒඍ෼΋ಉ༷ʹ཭ࢄԽ͢ΔͱɹɹɹɹɹɹɹɹɹɹͳͷͰɺ࣌ؒͱۭؒΛ཭ࢄԽ͢Δͱ <latexit 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</latexit> @u @t (t) ⇡ u(t + t) u(t) t • ཭ࢄԽ͞Εͨ఺ͷ 
 ͭͳ͕Γ͕ 
 ෆنଇͳ͜ͱ΋͋Δ 
 ඇߏ଄ϝογϡ <latexit sha1_base64="2VPtkZt6aQE122HoiLkqDXeIHRk=">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</latexit> u(t + t, xi) = u(t, xi) + ↵ t ( x)2 [u(xi + x) 2u(xi) + u(xi x)] ➡ ਺஋ղੳσʔλ͸ 
 ػցֶशख๏Ͱ 
 ѻ͍ʹ͍͘͜ͱ͕͋Δ
  26.   ภඍ෼ํఔࣜͷֶशͷ೉͠͞ܗঢ়ɾۭؒߏ଄ʹର͢Δ൚༻ੑ • ࣮༻తͳ਺஋ղੳσʔλ͸ػցֶशख๏ʹͱͬͯѻ͍ʹ͍͘ੑ࣭͕͋Δ  ηϧ਺   ηϧ਺

      - Մมࣗ༝౓ࣗ༝౓͕Մมͩͱݹయతͳػցֶशख๏Λͦͷ··ద༻͢Δ͜ͱ͕Ͱ͖ͳ͍ ➡ ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ͕ඞཁ
  27.   ภඍ෼ํఔࣜͷֶशͷ೉͠͞ܗঢ়ɾۭؒߏ଄ʹର͢Δ൚༻ੑ • ࣮༻తͳ਺஋ղੳσʔλ͸ػցֶशख๏ʹͱͬͯѻ͍ʹ͍͘ੑ࣭͕͋Δ  ηϧ਺   ηϧ਺

      - େࣗ༝౓ ສҎ্ ࣗ༝౓͕େ͖͍ͱऔΓ͏Δঢ়ଶ͕ଟ༷ʹͳΓֶश͕ࠔ೉ʹͳΔ • ը૾ೝࣝͷஶ໊ͳσʔληοτ$*'"3͸αϯϓϧ͋ͨΓࣗ༝౓ - Մมࣗ༝౓ࣗ༝౓͕Մมͩͱݹయతͳػցֶशख๏Λͦͷ··ద༻͢Δ͜ͱ͕Ͱ͖ͳ͍ ➡ ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ͕ඞཁ
  28.   ภඍ෼ํఔࣜͷֶशͷ೉͠͞ܗঢ়ɾۭؒߏ଄ʹର͢Δ൚༻ੑ • ࣮༻తͳ਺஋ղੳσʔλ͸ػցֶशख๏ʹͱͬͯѻ͍ʹ͍͘ੑ࣭͕͋Δ  ηϧ਺   ηϧ਺

      ରশੑΛߟྀ͢Δ 
 ͜ͱʹΑΔ 
 ࣗ༝౓ͷফڈ - େࣗ༝౓ ສҎ্ ࣗ༝౓͕େ͖͍ͱऔΓ͏Δঢ়ଶ͕ଟ༷ʹͳΓֶश͕ࠔ೉ʹͳΔ • ը૾ೝࣝͷஶ໊ͳσʔληοτ$*'"3͸αϯϓϧ͋ͨΓࣗ༝౓ ➡ ߹ಉม׵ʹର͢ΔରশੑΛߟྀࣗ͠༝౓Λফڈ͢Δ͜ͱʹΑΔ൚༻ੑͷ޲্͕ඞཁ - Մมࣗ༝౓ࣗ༝౓͕Մมͩͱݹయతͳػցֶशख๏Λͦͷ··ద༻͢Δ͜ͱ͕Ͱ͖ͳ͍ ➡ ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ͕ඞཁ DGSannai+ UAI. 2021
  29.    • ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ - ਺஋ղੳͰ͸ଟ༷ͳܗঢ়ͷ 
 ղੳྖҬΛѻ͏ͨΊ 


    ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ 
 ػցֶशϞσϧΛ༻͍Δඞཁ͕͋Δ ภඍ෼ํఔࣜͷֶशͷ೉͠͞ܗঢ়ɾۭؒߏ଄ʹର͢Δ൚༻ੑ
  30.    น ྲྀΕ ղੳྖҬ ղੳ݁Ռ ղੳ • ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ

    - ਺஋ղੳͰ͸ଟ༷ͳܗঢ়ͷ 
 ղੳྖҬΛѻ͏ͨΊ 
 ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ 
 ػցֶशϞσϧΛ༻͍Δඞཁ͕͋Δ • ߹ಉม׵ʹର͢Δରশੑ ภඍ෼ํఔࣜͷֶशͷ೉͠͞ܗঢ়ɾۭؒߏ଄ʹର͢Δ൚༻ੑ
  31.    น ྲྀΕ ղੳྖҬ ղੳ݁Ռ ղੳ ղੳ ճసɾฏߦҠಈ

    • ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ - ਺஋ղੳͰ͸ଟ༷ͳܗঢ়ͷ 
 ղੳྖҬΛѻ͏ͨΊ 
 ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ 
 ػցֶशϞσϧΛ༻͍Δඞཁ͕͋Δ • ߹ಉม׵ʹର͢Δରশੑ ภඍ෼ํఔࣜͷֶशͷ೉͠͞ܗঢ়ɾۭؒߏ଄ʹର͢Δ൚༻ੑ
  32.   น ྲྀΕ ղੳྖҬ ղੳ݁Ռ ղੳ ղੳ ճసɾฏߦҠಈ 

    • ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ - ਺஋ղੳͰ͸ଟ༷ͳܗঢ়ͷ 
 ղੳྖҬΛѻ͏ͨΊ 
 ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ 
 ػցֶशϞσϧΛ༻͍Δඞཁ͕͋Δ - ಉҰͷ෺ཧݱ৅ΛҟͳΔࢹ఺͔Β 
 ؍ଌ͢Δͱ߹ಉม׵ E(n) Λड͚Δ͕ 
 ݱ৅ͷຊ࣭͸มԽ͠ͳ͍ 
 ˠE(n)ಉมੑ • ߹ಉม׵ʹର͢Δରশੑ ภඍ෼ํఔࣜͷֶशͷ೉͠͞ܗঢ়ɾۭؒߏ଄ʹର͢Δ൚༻ੑ
  33.   น ྲྀΕ ղੳྖҬ ղੳ݁Ռ ղੳ ղੳ ճసɾฏߦҠಈ 

    <latexit sha1_base64="mvyxVg25FBZi6dfG4Usep0GUHJM=">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</latexit> ( p 3/2, 1/2) <latexit 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</latexit> (1.5, 2.1) <latexit 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</latexit> (1, 1) <latexit sha1_base64="BNxwav/+mswo7KuyGrImjgwDd1c=">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</latexit> (1, 0) • ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ - ਺஋ղੳͰ͸ଟ༷ͳܗঢ়ͷ 
 ղੳྖҬΛѻ͏ͨΊ 
 ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ 
 ػցֶशϞσϧΛ༻͍Δඞཁ͕͋Δ - ಉҰͷ෺ཧݱ৅ΛҟͳΔࢹ఺͔Β 
 ؍ଌ͢Δͱ߹ಉม׵ E(n) Λड͚Δ͕ 
 ݱ৅ͷຊ࣭͸มԽ͠ͳ͍ 
 ˠE(n)ಉมੑ • ߹ಉม׵ʹର͢Δରশੑ - ௨ৗͷػցֶशϞσϧʹ͸ 
 E(n)ಉมੑ͕ͳ͍ ภඍ෼ํఔࣜͷֶशͷ೉͠͞ܗঢ়ɾۭؒߏ଄ʹର͢Δ൚༻ੑ
  34.    • (SBQIOFVSBMOFUXPSL (// Λ࢖͏ ղܾࡦ • ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ

    - ਺஋ղੳͰ͸ଟ༷ͳܗঢ়ͷ 
 ղੳྖҬΛѻ͏ͨΊ 
 ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ 
 ػցֶशϞσϧΛ༻͍Δඞཁ͕͋Δ - ಉҰͷ෺ཧݱ৅ΛҟͳΔࢹ఺͔Β 
 ؍ଌ͢Δͱ߹ಉม׵ E(n) Λड͚Δ͕ 
 ݱ৅ͷຊ࣭͸มԽ͠ͳ͍ 
 ˠE(n)ಉมੑ • ߹ಉม׵ʹର͢Δରশੑ - ௨ৗͷػցֶशϞσϧʹ͸ 
 E(n)ಉมੑ͕ͳ͍ ภඍ෼ํఔࣜͷֶशͷ೉͠͞ܗঢ়ɾۭؒߏ଄ʹର͢Δ൚༻ੑ
  35.    • (SBQIOFVSBMOFUXPSL (// Λ࢖͏ ղܾࡦ • ಉมੑ

    FRVJWBSJBODF ͷ͋ΔϞσϧΛ࢖͏ • ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ - ਺஋ղੳͰ͸ଟ༷ͳܗঢ়ͷ 
 ղੳྖҬΛѻ͏ͨΊ 
 ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ 
 ػցֶशϞσϧΛ༻͍Δඞཁ͕͋Δ - ಉҰͷ෺ཧݱ৅ΛҟͳΔࢹ఺͔Β 
 ؍ଌ͢Δͱ߹ಉม׵ E(n) Λड͚Δ͕ 
 ݱ৅ͷຊ࣭͸มԽ͠ͳ͍ 
 ˠE(n)ಉมੑ • ߹ಉม׵ʹର͢Δରশੑ - ௨ৗͷػցֶशϞσϧʹ͸ 
 E(n)ಉมੑ͕ͳ͍ ภඍ෼ํఔࣜͷֶशͷ೉͠͞ܗঢ়ɾۭؒߏ଄ʹର͢Δ൚༻ੑ
  36.    • (SBQIOFVSBMOFUXPSL (// Λ࢖͏ ղܾࡦ • ಉมੑ

    FRVJWBSJBODF ͷ͋ΔϞσϧΛ࢖͏ ➡E(n)ಉมੑ͕͋Γݹయతͳ਺஋ղੳΑΓ΋ߴ଎ͳ(//Λ࣮ݱ[Horie+ ICLR 2021] • ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ - ਺஋ղੳͰ͸ଟ༷ͳܗঢ়ͷ 
 ղੳྖҬΛѻ͏ͨΊ 
 ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ 
 ػցֶशϞσϧΛ༻͍Δඞཁ͕͋Δ - ಉҰͷ෺ཧݱ৅ΛҟͳΔࢹ఺͔Β 
 ؍ଌ͢Δͱ߹ಉม׵ E(n) Λड͚Δ͕ 
 ݱ৅ͷຊ࣭͸มԽ͠ͳ͍ 
 ˠE(n)ಉมੑ • ߹ಉม׵ʹର͢Δରশੑ - ௨ৗͷػցֶशϞσϧʹ͸ 
 E(n)ಉมੑ͕ͳ͍ ภඍ෼ํఔࣜͷֶशͷ೉͠͞ܗঢ়ɾۭؒߏ଄ʹର͢Δ൚༻ੑ
  37.   ໨࣍ • ภඍ෼ํఔࣜͷ਺஋ղੳ • *TP($/෺ཧݱ৅ͷੑ࣭Λ൓өͰ͖ΔػցֶशϞσϧ[Horie+ ICLR. 2021] •

    1IZTJDT&NCFEEFE/FVSBM/FUXPSL 1&// *TP($/ͷ͞ΒͳΔߴ౓Խ[Horie+ NeurIPS. 2022] • ·ͱΊ  [Horie+ ICLR. 2021] Masanobu Horie, Naoki Morita, Toshiaki Hishinuma, Yu Ihara, and Naoto Mitsume. Isometric transformation invariant and equivariant graph convolutional networks. In ICLR, 2021. [Horie+ NeurIPS. 2022] Masanobu Horie and Naoto Mitsume. Physics-Embedded Neural Networks: Graph Neural PDE Solvers with Mixed Boundary Conditions. In NeurIPS, 2022.
  38.   ໨࣍ • ภඍ෼ํఔࣜͷ਺஋ղੳ • *TP($/෺ཧݱ৅ͷੑ࣭Λ൓өͰ͖ΔػցֶशϞσϧ[Horie+ ICLR. 2021] •

    1IZTJDT&NCFEEFE/FVSBM/FUXPSL 1&// *TP($/ͷ͞ΒͳΔߴ౓Խ[Horie+ NeurIPS. 2022] • ·ͱΊ  [Horie+ ICLR. 2021] Masanobu Horie, Naoki Morita, Toshiaki Hishinuma, Yu Ihara, and Naoto Mitsume. Isometric transformation invariant and equivariant graph convolutional networks. In ICLR, 2021. [Horie+ NeurIPS. 2022] Masanobu Horie and Naoto Mitsume. Physics-Embedded Neural Networks: Graph Neural PDE Solvers with Mixed Boundary Conditions. In NeurIPS, 2022.
  39.    શ݁߹χϡʔϥϧωοτϫʔΫ (// .FTTBHF 
 ؔ਺ 6QEBUFؔ਺ •

    (SBQI/FVSBM/FUXPSL (// ͸ϝογϡͷߏ଄͕มΘͬͯ΋ಉ͡Ϟσϧ͕࢖͑Δ • શ݁߹ͷχϡʔϥϧωοτϫʔΫͰ͸ϝογϡ άϥϑ ͕มΘΔͱରԠͰ͖ͳ͍ *TP($/E(n)ಉมੑ͕͋Γߴ଎ͳ(//
  40.    શ݁߹χϡʔϥϧωοτϫʔΫ ➡ .FTTBHFؔ਺ͷܭࢉʹ͕͔͔࣌ؒΔ (// .FTTBHF 
 ؔ਺

    6QEBUFؔ਺ • (SBQI/FVSBM/FUXPSL (// ͸ϝογϡͷߏ଄͕มΘͬͯ΋ಉ͡Ϟσϧ͕࢖͑Δ • શ݁߹ͷχϡʔϥϧωοτϫʔΫͰ͸ϝογϡ άϥϑ ͕มΘΔͱରԠͰ͖ͳ͍ *TP($/E(n)ಉมੑ͕͋Γߴ଎ͳ(//
  41.    (// .FTTBHF 
 ؔ਺ 6QEBUFؔ਺ • ۭؒඍ෼͸ɺ཭ࢄԽ͞Εͨ఺

    άϥϑͷ௖఺ ͷہॴతͳ૬ޓ࡞༻ͱͯ͠දݱ͞Ε͍ͯͨ <latexit 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+l4sLSB6t1u50Xvrn+Jv/wS977MWcvh0gbs5BXRylACvc2TSemn6oHUdJ6XWKAK/1F4zwY/vHqm3t7Rfwwyy8xbqKLA/Rf67bFnI0gS1sY+EH3ubWMCxJDP1H+PGO+QqrfYVBVsnLLW6hXSfBbpnKmL4ljCunYvci/MQbmbx/dxAWHsb3ReQc7LNFEP7xf14IeXix4yz0Bxm32cnOt+r/q4QjFFD6O1MPhhFGcT+dgNncJXf+mAu3zuq2AZAp61wo/AizMvy5uCXsLDhrczzYVanlwVgMHU28XPvhn8RnjjPL/fWHUe55wV6nTOy39DjZeRHgD+Hq2rq681VOekaYhX/S61WrGZ/v+JFlcoqCv1hl8CcuSPMc6SfD4uwb//+M3aZvfvkJYvbl5tbP7HxuuL12u/227+RunnK/+88i8r365srvx25XcrhyvnK9crwQqs/O/KH1b++Pr/vn/+/fr3G6bpT3/S9PmnFefn+9/+P0slpuQ=</latexit> u Թ౓ <latexit 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8F0PFjaQPVut/Oid9e/xF9+iXtf5qzlcGkDdvKKaGUogd7myaT0U/VAajrPSyxQhf8ovGeDn189U2/v6D8GmWXmLVRR4P4L/fbYsxEkCWtjH4g+97YxAWLIZ+q/R4x3SNVbbKoKNk5Za/UKaT6LdM7URXEsYV27F7kX5qDczeP7uIAw9jc6ryDnZZqoh/eLevDzy0UPmWeguM0+Ts51v1d9XKGYoofRWhj8PIqziXzshk7hq790wF0+91WwDAHPWuFH4MWZl+VNQS/hYcPbmeZCLU+uCsBg6u3iZ98MfhDeOM/vN1adxzlnhTqd8/IfUeNlpAeAv0fr6upbDdU5aRriVb9LrVZspv9/osUVCupKveGXgBz5Y4yzJJ+PS/DvP32/ttn9O6Tli5tXG5u/23h98Xrt99vN3yj9ZuXvVv5+5ceVzZV/Xvn9yuHK+cr1SrASrfznyn+t/Peb79788GbjzUvT9FffNX3+dsX5efOv/wvz2abE</latexit> 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</latexit> u(xi + x) <latexit 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</latexit> xi + x <latexit 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xi x ➡ ۭؒඍ෼ԋࢉࢠΛͦͷ··NFTTBHFؔ਺ͱͯ͠ར༻Ͱ͖ͳ͍͔ʁ *TP($/E(n)ಉมੑ͕͋Γߴ଎ͳ(//
  42.    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u9F77Z/hb+CEve+zFnLwdIG7OQV0drQAr3Jk0kZpPqB1PQ+L7FAlcGjFM96P716pt/eMX/NMcvsW6iywP2X5u2xZ0NIEtbGPRB9LrYxAWLIZ/q/R4x3SPVbbLoKtk5Za/0KaT6LTM40RXGsYN24l7kY56Dd3cd3cQHjONhovYKcl2miH94v5r2fXi46yDwDzW12cere9HvVxRWaKToYo4XeT8M4m6jHdugUgf5LB9zlfqCDZQB41sogAhFnIsvrgl7Bw4bYmeZSL0+uC8BwKnbxs28GP0gxyvO7jVXvcc5ZoU/nvPxb1HgZmQHg7+G6vvpWQ31O2oZ41e3SqBWbmf+faHGJgrrUb/gloIbBCOMsye9HJQR3n75f22z/IdHyxfWrjc2/33h9/mbtt9v1Hxn9auWvVv565ceVzZV/WPntyuFKf+VqJVzJV/515d9W/v3Nf7z5rzf//eZ/bNPvflH3+csV7+c33/0v1k6TAQ==</latexit> r .FTTBHF 
 ؔ਺ 6QEBUFؔ਺ • *TP($/[Horie et al. 2021]͸NFTTBHFؔ਺ʹ཭ࢄޯ഑ԋࢉࢠΛ༻͍ͯܭࢉͷߴ଎ԽΛ࣮ݱ͍ͯ͠Δ *TP($/E(n)ಉมੑ͕͋Γߴ଎ͳ(//
  44.    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u9F77Z/hb+CEve+zFnLwdIG7OQV0drQAr3Jk0kZpPqB1PQ+L7FAlcGjFM96P716pt/eMX/NMcvsW6iywP2X5u2xZ0NIEtbGPRB9LrYxAWLIZ/q/R4x3SPVbbLoKtk5Za/0KaT6LTM40RXGsYN24l7kY56Dd3cd3cQHjONhovYKcl2miH94v5r2fXi46yDwDzW12cere9HvVxRWaKToYo4XeT8M4m6jHdugUgf5LB9zlfqCDZQB41sogAhFnIsvrgl7Bw4bYmeZSL0+uC8BwKnbxs28GP0gxyvO7jVXvcc5ZoU/nvPxb1HgZmQHg7+G6vvpWQ31O2oZ41e3SqBWbmf+faHGJgrrUb/gloIbBCOMsye9HJQR3n75f22z/IdHyxfWrjc2/33h9/mbtt9v1Hxn9auWvVv565ceVzZV/WPntyuFKf+VqJVzJV/515d9W/v3Nf7z5rzf//eZ/bNPvflH3+csV7+c33/0v1k6TAQ==</latexit> r .FTTBHF 
 ؔ਺ 6QEBUFؔ਺ • *TP($/[Horie et al. 2021]͸NFTTBHFؔ਺ʹ཭ࢄޯ഑ԋࢉࢠΛ༻͍ͯܭࢉͷߴ଎ԽΛ࣮ݱ͍ͯ͠Δ • ೖྗͷճసʹରԠͯ͠༧ଌ݁Ռ͕ճస͢ΔͨΊɺE(n)ಉมੑ͕͋Δ *TP($/E(n)ಉมੑ͕͋Γߴ଎ͳ(//
  45.    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