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機械学習の中身を理解する

Cb18c19223700dd8185fef0d88435fe4?s=47 Kimikazu Kato
December 05, 2018

 機械学習の中身を理解する

2018年12月5日
リクルートスタッフィングのイベントでの資料です。
「機械学習のエッセンス」の解説がメインになっています。

Cb18c19223700dd8185fef0d88435fe4?s=128

Kimikazu Kato

December 05, 2018
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  1. ػցֶशͷத਎Λ ཧղ͢Δ 2018/12/5ˏϦΫϧʔτελοϑΟϯά Ճ౻ެҰ

  2. ࣗݾ঺հ Ճ౻ެҰʢ͔ͱ͏͖Έ͔ͣʣ ॴଐɿγϧόʔΤοάɾςΫϊϩδʔʢגʣ ത࢜ʢ৘ใཧ޻ֶʣ ʢम࢜·Ͱ͸਺ֶʣ झຯɿےτϨ Twitter: @hamukazu ࢓ࣄɿϨίϝϯσʔγϣϯγεςϜʹؔ͢Δݚڀ։ൃ ஶॻ

  3. ࠓ೔ͷ࿩ • ຊͷએ఻ • ػցֶशͱ਺ֶͷؔ܎ʹ͍ͭͯ • ਺ֶͷجຊ • ઢܗ୅਺ •

    ඍੵ෼ • ਺ཧ࠷దԽʹ͍ͭͯ • ػցֶशͷΞϧΰϦζϜʢαϙʔτϕΫλϚγϯʣ • ࠓޙԿΛษڧ͢΂͖͔
  4. ࠓ೔ͷ໨ඪɿ αϙʔτϕΫλϚγϯͷத਎ Λཧղ͢Δ

  5. એ఻ ಛ௃ɿ ɾπʔϧͷ࢖͍ํͰ͸ͳ͘ػցֶशΞϧΰϦζϜͷ࢓૊ΈΛղઆͨ͠ຊ ɾPythonͷجຊ΍ɺΞϧΰϦζϜͷཧղʹඞཁͳ਺ֶ͔Βղઆ http://bit.ly/mlessence ʢؒҧ͍͕ଟͯ͘͝ΊΜͳ͍͞ɻਖ਼ޡද͸αϙʔτϖʔδࢀরɻʣ

  6. ࣥචͷഎܠ • େਓͷ਺ֶษڧ΍Γ௚͠ϒʔϜ͕དྷͯΔ͔΋͠Εͳ͍ • ͦͷυϥΠϒཁૉͷҰͭͱͳ͍ͬͯΔͷ͕ػցֶशɾਓ޻ ஌ೳ • ݸਓతʹ΋ɺษڧ͍ͨ͠ͷͰͲ͏͢Ε͹ʁͱ͍͏૬ஊ͕͋ͬ ͨΓ •

    ػցֶशͷཧ࿦తͳઆ໌͸ɺϕΠζ౷ܭͳͲͷ؍఺͔Βͷ ॻ੶͕ଟ͘ɺ਺ཧ࠷దԽ͔ΒͷΞϓϩʔν͸͋·Γͳ͍
  7. ํ਑ • Ͱ͖Δ͚ͩʮඞཁͳ͜ͱ͸શͯॻ͍ͯ͋ΔʯΛΊͨ͟͠ • ࣌ؒత੍໿Ͱඞͣ͠΋ୡ੒Ͱ͖ͯͳ͍͕… • ਺ֶ͸ɺʮূ໌ʯΑΓ΋ʮઆ໌ʯΛॏࢹ • ௿࣍ݩͷέʔεΛ؍࡯͠ɺߴ࣍ݩͷ৔߹͸ূ໌ͤͣʹೲಘͯ͠΋Β͏ •

    ূ໌͠ͳͯ͘΋ɺఆཧͷओு͸ਖ਼֬ʹ • σΟʔϓϥʔχϯάͷઆ໌͸͠ͳ͍ • ਺ֶͱ਺஋ܭࢉͷઆ໌Λ׬શʹ෼཭ • ͢΂ͯʹαϯϓϧίʔυΛ͚ͭΔ
  8. ۤ࿑࿩ • ͳ͔ͳ͔ಈ͔ͳ͍αϯϓϧίʔυʢΪϦΪϦ·Ͱσόοάʣ • ਺ࣜͷσόοάͷ೉͠͞ • ਺ࣜʹ׳Εͯͳ͍ฤूऀ • ਤͷ४උͷେม͞

  9. None
  10. ۤ࿑ͷࠟ੻

  11. ਺ֶ͸σʔλαΠΤϯςΟετ ͷඞਢ஌ࣝʁ • ଟ෼No! • ͔͠͠਺ֶ͕Ͱ͖Δ͜ͱ͸ࠩผԽʹ͸ͳΔ • ෳ਺ͷબ୒ࢶͷதͰ໘ന͍ͱࢥ͏͜ͱΛ༏ઌͯ͠΍Δͷ͸ Α͍ΩϟϦΞΞοϓઓུ

  12. த਎Λ෼Δ͜ͱͷϝϦοτ • ࠷৽ͷݚڀ࿦จʹΩϟονΞοϓͰ͖Δ • طଘͷΞϧΰϦζϜΛमਖ਼ͨ͠ಠࣗͷΞϧΰϦζϜΛ࣮૷ Ͱ͖Δ • ϋΠύʔύϥϝʔλͷҙຯΛཧղͯ͠ޮ཰ͷྑ͍νϡʔχ ϯά͕Ͱ͖Δ •

    ͭ·Γࢼߦࡨޡͷ෯͕޿͕Δ
  13. ػցֶशʹඞཁͳ਺ֶ • ֶशϑΣʔζͰ͸਺ཧܭը๏͕Α͘࢖ΘΕΔ • ਺ཧܭը๏ͷཧղͷϕʔεͱͳΔͷ͕ɺઢܗ୅਺ͱඍੵ෼ • σʔλͷղऍ΍Ճ޻Ͱ΋ศརͳͷ͕ઢܗ୅਺

  14. ਺ཧ࠷దԽʁ Bishop, “Pattern Recognition and Machine Learning” ͰͷSVMͷઆ໌ ͜ͷΑ͏ʹɺػցֶशͰͷύϥϝʔλܾఆ͸ɺ ͋Δؔ਺Λ࠷େԽʢ࠷খԽʣ͢Δม਺Λݟ͚ͭΔ

    ͱ͍͏໰୊ʹؼண͞ΕΔ͜ͱ͕ଟ͍
  15. Α͋͘Δύλʔϯ Α͠ʂػցֶशษڧ͢Δͧʂ ԿΛಡΉͷ͕͍͍͔ͳʁ༗໊͔ͩΒPRMLಡΜͲ͔͘ ਺ࣜΛݟܸͯ௜

  16. Α͋͘ΔϋϚΓϙΠϯτ ·ͨPRMLͷSVMͷઆ໌ ͜Ε͕ ͜͏ͳΔͱॻ͍ͯΔ ʁʁʁʁ ࠓ೔͸͜ͷ࿩Λ͠·͢ʂ

  17. ͱ͜ΖͰɺ ࢲͷීஈͷ࢓ࣄͰ͕͢ • ࿦จΛಡΈͳ͕Β࣮૷ͱ͍͏͜ͱ͕ଟ͍Ͱ͢ • طଘͷϥΠϒϥϦ͕͋Δ৔߹Ͱ΋͋͑ͯ࠶࣮૷ͯ͠೿ੜΞ ϧΰϦζϜΛߟ͑Δ͜ͱ΋ • ʮػցֶशͷΤοηϯεʯ͸ීஈͷ࢓ࣄͷ͔ͨ͠Λ༗໊Ξ ϧΰϦζϜΛ࢖ͬͯ࠶ݱͨ͠ͱ΋͍͑·͢

  18. ਺ཧ࠷దԽͱ͸ ༩͑ΒΕ੍ͨ໿ͷ΋ͱɺ༩͑ΒΕͨؔ਺Λ࠷খԽʢ·ͨ͸࠷େԽʣ ͢Δͱ͍͏໰୊ x2 + xy + y2 + 2x

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  19. ػցֶशΞϧΰϦζϜͱ ਺ཧ࠷దԽ • ઢܗճؼ →2࣍ܭը๏ • ϥοιճؼ →࠲ඪ߱Լ๏ • ϩδεςΟοΫճؼ

    →χϡʔτϯ๏ • SVM →ϥάϥϯδϡະఆ৐਺๏ɺ2࣍ܭը๏
  20. ػցֶशͰ࢖ΘΕΔ ਺ཧ࠷దԽʹ͍ͭͯͷ஫ҙ • ػցֶशͷΞϧΰϦζϜ͸ɺ਺ཧ࠷దԽʹؼண͞ΕΔ͜ͱ ͕ଟ͍ • ݫີͳ࠷దղΛಘΑ͏͢Δ͜ͱΑΓʮ࠷దղʹۙͮ͘ʯ ͜ͱ͕େࣄͳ͜ͱ΋

  21. ਺ཧ࠷దԽͷཧղͰ ඞཁͳ਺ֶ • ઢܗ୅਺ • ඍੵ෼

  22. ઢܗ୅਺ • ߦྻͱϕΫτϧ • ػցֶशͷཧղͷ্Ͱ͸ɺઢܗۭؒͷΠϝʔδΛ࣋ͭ͜ͱ ͕େࣄ • ຊൃදͰ͸SVMͰ࢖ΘΕΔڑ཭ͷެ͚ࣜͩઆ໌͢Δ

  23. ϕΫτϧͷ಺ੵ aT b <latexit sha1_base64="co3cAv7PUV3WbLbR50fO1mHLjKI=">AAACBHicbZDLSgMxFIbP1Futt6pLN8EiuCozIuiy6MZlhd6gnZYkTdvQZGZIMkIZZuszuNW1O3Hre7j0Tcy0s7CtB0I+/v8czuEnkeDauO63U9jY3NreKe6W9vYPDo/KxyctHcaKsiYNRag6BGsmeMCahhvBOpFiWBLB2mR6n/ntJ6Y0D4OGmUXMl3gc8BGn2Fip3yMywWm/kf0kHZQrbtWdF1oHL4cK5FUflH96w5DGkgWGCqx113Mj4ydYGU4FS0u9WLMI0ykes67FAEum/WR+dYourDJEo1DZFxg0V/9OJFhqPZPEdkpsJnrVy8T/vG5sRrd+woMoNiygi0WjWCAToiwCNOSKUSNmFjBV3N6K6AQrTI0NamkLkVkm3moC69C6qnqWH68rtbs8nSKcwTlcggc3UIMHqEMTKCh4gVd4c56dd+fD+Vy0Fpx85hSWyvn6BdncmVc=</latexit> <latexit sha1_base64="co3cAv7PUV3WbLbR50fO1mHLjKI=">AAACBHicbZDLSgMxFIbP1Futt6pLN8EiuCozIuiy6MZlhd6gnZYkTdvQZGZIMkIZZuszuNW1O3Hre7j0Tcy0s7CtB0I+/v8czuEnkeDauO63U9jY3NreKe6W9vYPDo/KxyctHcaKsiYNRag6BGsmeMCahhvBOpFiWBLB2mR6n/ntJ6Y0D4OGmUXMl3gc8BGn2Fip3yMywWm/kf0kHZQrbtWdF1oHL4cK5FUflH96w5DGkgWGCqx113Mj4ydYGU4FS0u9WLMI0ykes67FAEum/WR+dYourDJEo1DZFxg0V/9OJFhqPZPEdkpsJnrVy8T/vG5sRrd+woMoNiygi0WjWCAToiwCNOSKUSNmFjBV3N6K6AQrTI0NamkLkVkm3moC69C6qnqWH68rtbs8nSKcwTlcggc3UIMHqEMTKCh4gVd4c56dd+fD+Vy0Fpx85hSWyvn6BdncmVc=</latexit> <latexit sha1_base64="co3cAv7PUV3WbLbR50fO1mHLjKI=">AAACBHicbZDLSgMxFIbP1Futt6pLN8EiuCozIuiy6MZlhd6gnZYkTdvQZGZIMkIZZuszuNW1O3Hre7j0Tcy0s7CtB0I+/v8czuEnkeDauO63U9jY3NreKe6W9vYPDo/KxyctHcaKsiYNRag6BGsmeMCahhvBOpFiWBLB2mR6n/ntJ6Y0D4OGmUXMl3gc8BGn2Fip3yMywWm/kf0kHZQrbtWdF1oHL4cK5FUflH96w5DGkgWGCqx113Mj4ydYGU4FS0u9WLMI0ykes67FAEum/WR+dYourDJEo1DZFxg0V/9OJFhqPZPEdkpsJnrVy8T/vG5sRrd+woMoNiygi0WjWCAToiwCNOSKUSNmFjBV3N6K6AQrTI0NamkLkVkm3moC69C6qnqWH68rtbs8nSKcwTlcggc3UIMHqEMTKCh4gVd4c56dd+fD+Vy0Fpx85hSWyvn6BdncmVc=</latexit> <latexit

    sha1_base64="co3cAv7PUV3WbLbR50fO1mHLjKI=">AAACBHicbZDLSgMxFIbP1Futt6pLN8EiuCozIuiy6MZlhd6gnZYkTdvQZGZIMkIZZuszuNW1O3Hre7j0Tcy0s7CtB0I+/v8czuEnkeDauO63U9jY3NreKe6W9vYPDo/KxyctHcaKsiYNRag6BGsmeMCahhvBOpFiWBLB2mR6n/ntJ6Y0D4OGmUXMl3gc8BGn2Fip3yMywWm/kf0kHZQrbtWdF1oHL4cK5FUflH96w5DGkgWGCqx113Mj4ydYGU4FS0u9WLMI0ykes67FAEum/WR+dYourDJEo1DZFxg0V/9OJFhqPZPEdkpsJnrVy8T/vG5sRrd+woMoNiygi0WjWCAToiwCNOSKUSNmFjBV3N6K6AQrTI0NamkLkVkm3moC69C6qnqWH68rtbs8nSKcwTlcggc3UIMHqEMTKCh4gVd4c56dd+fD+Vy0Fpx85hSWyvn6BdncmVc=</latexit> aT b = 0 <latexit sha1_base64="AyqvS4toQd2wr17P2bxSPB7uvQ8=">AAACCHicbZDLSgMxFIYzXmu9jbp0EyyCqzIjgm6EohuXFXqDdixJmmlDk8yQZAplmBfwGdzq2p249S1c+iZm2lnY1gMhH/9/Dufw45gzbTzv21lb39jc2i7tlHf39g8O3aPjlo4SRWiTRDxSHYw05UzSpmGG006sKBKY0zYe3+d+e0KVZpFsmGlMA4GGkoWMIGOlvuv2sEhR9tTIf5zden234lW9WcFV8AuogKLqffenN4hIIqg0hCOtu74XmyBFyjDCaVbuJZrGiIzRkHYtSiSoDtLZ5Rk8t8oAhpGyTxo4U/9OpEhoPRXYdgpkRnrZy8X/vG5iwpsgZTJODJVkvihMODQRzGOAA6YoMXxqARHF7K2QjJBCxNiwFrZgkdlM/OUEVqF1WfUtP15VandFOiVwCs7ABfDBNaiBB1AHTUDABLyAV/DmPDvvzofzOW9dc4qZE7BQztcvVQWaCQ==</latexit> <latexit sha1_base64="AyqvS4toQd2wr17P2bxSPB7uvQ8=">AAACCHicbZDLSgMxFIYzXmu9jbp0EyyCqzIjgm6EohuXFXqDdixJmmlDk8yQZAplmBfwGdzq2p249S1c+iZm2lnY1gMhH/9/Dufw45gzbTzv21lb39jc2i7tlHf39g8O3aPjlo4SRWiTRDxSHYw05UzSpmGG006sKBKY0zYe3+d+e0KVZpFsmGlMA4GGkoWMIGOlvuv2sEhR9tTIf5zden234lW9WcFV8AuogKLqffenN4hIIqg0hCOtu74XmyBFyjDCaVbuJZrGiIzRkHYtSiSoDtLZ5Rk8t8oAhpGyTxo4U/9OpEhoPRXYdgpkRnrZy8X/vG5iwpsgZTJODJVkvihMODQRzGOAA6YoMXxqARHF7K2QjJBCxNiwFrZgkdlM/OUEVqF1WfUtP15VandFOiVwCs7ABfDBNaiBB1AHTUDABLyAV/DmPDvvzofzOW9dc4qZE7BQztcvVQWaCQ==</latexit> <latexit sha1_base64="AyqvS4toQd2wr17P2bxSPB7uvQ8=">AAACCHicbZDLSgMxFIYzXmu9jbp0EyyCqzIjgm6EohuXFXqDdixJmmlDk8yQZAplmBfwGdzq2p249S1c+iZm2lnY1gMhH/9/Dufw45gzbTzv21lb39jc2i7tlHf39g8O3aPjlo4SRWiTRDxSHYw05UzSpmGG006sKBKY0zYe3+d+e0KVZpFsmGlMA4GGkoWMIGOlvuv2sEhR9tTIf5zden234lW9WcFV8AuogKLqffenN4hIIqg0hCOtu74XmyBFyjDCaVbuJZrGiIzRkHYtSiSoDtLZ5Rk8t8oAhpGyTxo4U/9OpEhoPRXYdgpkRnrZy8X/vG5iwpsgZTJODJVkvihMODQRzGOAA6YoMXxqARHF7K2QjJBCxNiwFrZgkdlM/OUEVqF1WfUtP15VandFOiVwCs7ABfDBNaiBB1AHTUDABLyAV/DmPDvvzofzOW9dc4qZE7BQztcvVQWaCQ==</latexit> <latexit sha1_base64="AyqvS4toQd2wr17P2bxSPB7uvQ8=">AAACCHicbZDLSgMxFIYzXmu9jbp0EyyCqzIjgm6EohuXFXqDdixJmmlDk8yQZAplmBfwGdzq2p249S1c+iZm2lnY1gMhH/9/Dufw45gzbTzv21lb39jc2i7tlHf39g8O3aPjlo4SRWiTRDxSHYw05UzSpmGG006sKBKY0zYe3+d+e0KVZpFsmGlMA4GGkoWMIGOlvuv2sEhR9tTIf5zden234lW9WcFV8AuogKLqffenN4hIIqg0hCOtu74XmyBFyjDCaVbuJZrGiIzRkHYtSiSoDtLZ5Rk8t8oAhpGyTxo4U/9OpEhoPRXYdgpkRnrZy8X/vG5iwpsgZTJODJVkvihMODQRzGOAA6YoMXxqARHF7K2QjJBCxNiwFrZgkdlM/OUEVqF1WfUtP15VandFOiVwCs7ABfDBNaiBB1AHTUDABLyAV/DmPDvvzofzOW9dc4qZE7BQztcvVQWaCQ==</latexit> a ? b <latexit sha1_base64="GALzOg7NCpTtftlkvzztE9KP6qQ=">AAACCXicbZDLSsNAFIYnXmu9pbp0M1gEVyURQZdFNy4r2As0ocxMJ+3QmWSYmSgl5Al8Bre6didufQqXvomTNgvb+sOBj/+cwzn8WHKmjed9O2vrG5tb25Wd6u7e/sGhWzvq6CRVhLZJwhPVw0hTzmLaNsxw2pOKIoE57eLJbdHvPlKlWRI/mKmkoUCjmEWMIGOtgVsLsMhQHkiqZIE4H7h1r+HNBFfBL6EOSrUG7k8wTEgqaGwIR1r3fU+aMEPKMMJpXg1STSUiEzSifYsxElSH2ez1HJ5ZZwijRNmKDZy5fzcyJLSeCmwnBTJjvdwrzP96/dRE12HGYpkaGpP5oSjl0CSwyAEOmaLE8KkFRBSzv0IyRgoRY9NauIJFkYm/nMAqdC4avuX7y3rzpkynAk7AKTgHPrgCTXAHWqANCHgCL+AVvDnPzrvz4XzOR9eccucYLMj5+gUCLJsH</latexit> <latexit sha1_base64="GALzOg7NCpTtftlkvzztE9KP6qQ=">AAACCXicbZDLSsNAFIYnXmu9pbp0M1gEVyURQZdFNy4r2As0ocxMJ+3QmWSYmSgl5Al8Bre6didufQqXvomTNgvb+sOBj/+cwzn8WHKmjed9O2vrG5tb25Wd6u7e/sGhWzvq6CRVhLZJwhPVw0hTzmLaNsxw2pOKIoE57eLJbdHvPlKlWRI/mKmkoUCjmEWMIGOtgVsLsMhQHkiqZIE4H7h1r+HNBFfBL6EOSrUG7k8wTEgqaGwIR1r3fU+aMEPKMMJpXg1STSUiEzSifYsxElSH2ez1HJ5ZZwijRNmKDZy5fzcyJLSeCmwnBTJjvdwrzP96/dRE12HGYpkaGpP5oSjl0CSwyAEOmaLE8KkFRBSzv0IyRgoRY9NauIJFkYm/nMAqdC4avuX7y3rzpkynAk7AKTgHPrgCTXAHWqANCHgCL+AVvDnPzrvz4XzOR9eccucYLMj5+gUCLJsH</latexit> <latexit sha1_base64="GALzOg7NCpTtftlkvzztE9KP6qQ=">AAACCXicbZDLSsNAFIYnXmu9pbp0M1gEVyURQZdFNy4r2As0ocxMJ+3QmWSYmSgl5Al8Bre6didufQqXvomTNgvb+sOBj/+cwzn8WHKmjed9O2vrG5tb25Wd6u7e/sGhWzvq6CRVhLZJwhPVw0hTzmLaNsxw2pOKIoE57eLJbdHvPlKlWRI/mKmkoUCjmEWMIGOtgVsLsMhQHkiqZIE4H7h1r+HNBFfBL6EOSrUG7k8wTEgqaGwIR1r3fU+aMEPKMMJpXg1STSUiEzSifYsxElSH2ez1HJ5ZZwijRNmKDZy5fzcyJLSeCmwnBTJjvdwrzP96/dRE12HGYpkaGpP5oSjl0CSwyAEOmaLE8KkFRBSzv0IyRgoRY9NauIJFkYm/nMAqdC4avuX7y3rzpkynAk7AKTgHPrgCTXAHWqANCHgCL+AVvDnPzrvz4XzOR9eccucYLMj5+gUCLJsH</latexit> <latexit sha1_base64="GALzOg7NCpTtftlkvzztE9KP6qQ=">AAACCXicbZDLSsNAFIYnXmu9pbp0M1gEVyURQZdFNy4r2As0ocxMJ+3QmWSYmSgl5Al8Bre6didufQqXvomTNgvb+sOBj/+cwzn8WHKmjed9O2vrG5tb25Wd6u7e/sGhWzvq6CRVhLZJwhPVw0hTzmLaNsxw2pOKIoE57eLJbdHvPlKlWRI/mKmkoUCjmEWMIGOtgVsLsMhQHkiqZIE4H7h1r+HNBFfBL6EOSrUG7k8wTEgqaGwIR1r3fU+aMEPKMMJpXg1STSUiEzSifYsxElSH2ez1HJ5ZZwijRNmKDZy5fzcyJLSeCmwnBTJjvdwrzP96/dRE12HGYpkaGpP5oSjl0CSwyAEOmaLE8KkFRBSzv0IyRgoRY9NauIJFkYm/nMAqdC4avuX7y3rzpkynAk7AKTgHPrgCTXAHWqANCHgCL+AVvDnPzrvz4XzOR9eccucYLMj5+gUCLJsH</latexit> aT b = a1b1 + a2b2 + · · · + anbn <latexit sha1_base64="COg2RmNCJyKHg8x/va0xtQ8VmF8=">AAACJ3icbVDNSgMxGMz6W+tf1aOXYBGEgu4WQS9C0YvHCm0V2rp8SbMaTLJLkhXKso/hQ/gMXvXsTfTYNzHb9qDWgZBh5hu+ZEgiuLG+/+XNzS8sLi2XVsqra+sbm5Wt7Y6JU01Zm8Yi1jcEDBNcsbblVrCbRDOQRLBr8nBR+NePTBseq5YdJqwv4U7xiFOwTgorRz0iM8hvW8VN8jMIAxIGNQjrmIT1Gu7RQWwNrmEIlVNcouof+mPgWRJMSRVN0Qwro94gpqlkylIBxnQDP7H9DLTlVLC83EsNS4A+wB3rOqpAMtPPxh/L8b5TBjiKtTvK4rH6M5GBNGYoiZuUYO/NX68Q//O6qY1O+xlXSWqZopNFUSqwjXHREh5wzagVQ0eAau7eiuk9aKDWdflrC5G56yT428As6dQPA8evjquN82k7JbSL9tABCtAJaqBL1ERtRNETekGv6M179t69D+9zMjrnTTM76Be80TczFKTO</latexit> <latexit sha1_base64="COg2RmNCJyKHg8x/va0xtQ8VmF8=">AAACJ3icbVDNSgMxGMz6W+tf1aOXYBGEgu4WQS9C0YvHCm0V2rp8SbMaTLJLkhXKso/hQ/gMXvXsTfTYNzHb9qDWgZBh5hu+ZEgiuLG+/+XNzS8sLi2XVsqra+sbm5Wt7Y6JU01Zm8Yi1jcEDBNcsbblVrCbRDOQRLBr8nBR+NePTBseq5YdJqwv4U7xiFOwTgorRz0iM8hvW8VN8jMIAxIGNQjrmIT1Gu7RQWwNrmEIlVNcouof+mPgWRJMSRVN0Qwro94gpqlkylIBxnQDP7H9DLTlVLC83EsNS4A+wB3rOqpAMtPPxh/L8b5TBjiKtTvK4rH6M5GBNGYoiZuUYO/NX68Q//O6qY1O+xlXSWqZopNFUSqwjXHREh5wzagVQ0eAau7eiuk9aKDWdflrC5G56yT428As6dQPA8evjquN82k7JbSL9tABCtAJaqBL1ERtRNETekGv6M179t69D+9zMjrnTTM76Be80TczFKTO</latexit> <latexit sha1_base64="COg2RmNCJyKHg8x/va0xtQ8VmF8=">AAACJ3icbVDNSgMxGMz6W+tf1aOXYBGEgu4WQS9C0YvHCm0V2rp8SbMaTLJLkhXKso/hQ/gMXvXsTfTYNzHb9qDWgZBh5hu+ZEgiuLG+/+XNzS8sLi2XVsqra+sbm5Wt7Y6JU01Zm8Yi1jcEDBNcsbblVrCbRDOQRLBr8nBR+NePTBseq5YdJqwv4U7xiFOwTgorRz0iM8hvW8VN8jMIAxIGNQjrmIT1Gu7RQWwNrmEIlVNcouof+mPgWRJMSRVN0Qwro94gpqlkylIBxnQDP7H9DLTlVLC83EsNS4A+wB3rOqpAMtPPxh/L8b5TBjiKtTvK4rH6M5GBNGYoiZuUYO/NX68Q//O6qY1O+xlXSWqZopNFUSqwjXHREh5wzagVQ0eAau7eiuk9aKDWdflrC5G56yT428As6dQPA8evjquN82k7JbSL9tABCtAJaqBL1ERtRNETekGv6M179t69D+9zMjrnTTM76Be80TczFKTO</latexit> <latexit sha1_base64="COg2RmNCJyKHg8x/va0xtQ8VmF8=">AAACJ3icbVDNSgMxGMz6W+tf1aOXYBGEgu4WQS9C0YvHCm0V2rp8SbMaTLJLkhXKso/hQ/gMXvXsTfTYNzHb9qDWgZBh5hu+ZEgiuLG+/+XNzS8sLi2XVsqra+sbm5Wt7Y6JU01Zm8Yi1jcEDBNcsbblVrCbRDOQRLBr8nBR+NePTBseq5YdJqwv4U7xiFOwTgorRz0iM8hvW8VN8jMIAxIGNQjrmIT1Gu7RQWwNrmEIlVNcouof+mPgWRJMSRVN0Qwro94gpqlkylIBxnQDP7H9DLTlVLC83EsNS4A+wB3rOqpAMtPPxh/L8b5TBjiKtTvK4rH6M5GBNGYoiZuUYO/NX68Q//O6qY1O+xlXSWqZopNFUSqwjXHREh5wzagVQ0eAau7eiuk9aKDWdflrC5G56yT428As6dQPA8evjquN82k7JbSL9tABCtAJaqBL1ERtRNETekGv6M179t69D+9zMjrnTTM76Be80TczFKTO</latexit> ੒෼ͷੵͷ࿨Ͱఆٛ͞ΕΔ A B O H aT b = ! OH ⇥ ! OB <latexit sha1_base64="4jA9QjBjkS2sG5VSTwg8yxUFulg=">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</latexit> <latexit sha1_base64="4jA9QjBjkS2sG5VSTwg8yxUFulg=">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</latexit> <latexit 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  24. O a <latexit sha1_base64="BGh0mf4IFK9bjmWo+lb8G6bkAFw=">AAAB/HicbZDLSgMxFIbP1Futt1GXboJFcFVmRNBl0Y3LCvYC7VAyaaaNTTJDkhHKUJ/Bra7diVvfxaVvYqadhW39IfDxn3M4J3+YcKaN5307pbX1jc2t8nZlZ3dv/8A9PGrpOFWENknMY9UJsaacSdo0zHDaSRTFIuS0HY5v83r7iSrNYvlgJgkNBB5KFjGCjbVavVBkeNp3q17Nmwmtgl9AFQo1+u5PbxCTVFBpCMdad30vMUGGlWGE02mll2qaYDLGQ9q1KLGgOshm107RmXUGKIqVfdKgmft3IsNC64kIbafAZqSXa7n5X62bmug6yJhMUkMlmS+KUo5MjPKvowFTlBg+sYCJYvZWREZYYWJsQAtbQpFn4i8nsAqti5pv+f6yWr8p0inDCZzCOfhwBXW4gwY0gcAjvMArvDnPzrvz4XzOW0tOMXMMC3K+fgGDMJXQ</latexit> <latexit sha1_base64="BGh0mf4IFK9bjmWo+lb8G6bkAFw=">AAAB/HicbZDLSgMxFIbP1Futt1GXboJFcFVmRNBl0Y3LCvYC7VAyaaaNTTJDkhHKUJ/Bra7diVvfxaVvYqadhW39IfDxn3M4J3+YcKaN5307pbX1jc2t8nZlZ3dv/8A9PGrpOFWENknMY9UJsaacSdo0zHDaSRTFIuS0HY5v83r7iSrNYvlgJgkNBB5KFjGCjbVavVBkeNp3q17Nmwmtgl9AFQo1+u5PbxCTVFBpCMdad30vMUGGlWGE02mll2qaYDLGQ9q1KLGgOshm107RmXUGKIqVfdKgmft3IsNC64kIbafAZqSXa7n5X62bmug6yJhMUkMlmS+KUo5MjPKvowFTlBg+sYCJYvZWREZYYWJsQAtbQpFn4i8nsAqti5pv+f6yWr8p0inDCZzCOfhwBXW4gwY0gcAjvMArvDnPzrvz4XzOW0tOMXMMC3K+fgGDMJXQ</latexit> <latexit sha1_base64="BGh0mf4IFK9bjmWo+lb8G6bkAFw=">AAAB/HicbZDLSgMxFIbP1Futt1GXboJFcFVmRNBl0Y3LCvYC7VAyaaaNTTJDkhHKUJ/Bra7diVvfxaVvYqadhW39IfDxn3M4J3+YcKaN5307pbX1jc2t8nZlZ3dv/8A9PGrpOFWENknMY9UJsaacSdo0zHDaSRTFIuS0HY5v83r7iSrNYvlgJgkNBB5KFjGCjbVavVBkeNp3q17Nmwmtgl9AFQo1+u5PbxCTVFBpCMdad30vMUGGlWGE02mll2qaYDLGQ9q1KLGgOshm107RmXUGKIqVfdKgmft3IsNC64kIbafAZqSXa7n5X62bmug6yJhMUkMlmS+KUo5MjPKvowFTlBg+sYCJYvZWREZYYWJsQAtbQpFn4i8nsAqti5pv+f6yWr8p0inDCZzCOfhwBXW4gwY0gcAjvMArvDnPzrvz4XzOW0tOMXMMC3K+fgGDMJXQ</latexit> <latexit sha1_base64="BGh0mf4IFK9bjmWo+lb8G6bkAFw=">AAAB/HicbZDLSgMxFIbP1Futt1GXboJFcFVmRNBl0Y3LCvYC7VAyaaaNTTJDkhHKUJ/Bra7diVvfxaVvYqadhW39IfDxn3M4J3+YcKaN5307pbX1jc2t8nZlZ3dv/8A9PGrpOFWENknMY9UJsaacSdo0zHDaSRTFIuS0HY5v83r7iSrNYvlgJgkNBB5KFjGCjbVavVBkeNp3q17Nmwmtgl9AFQo1+u5PbxCTVFBpCMdad30vMUGGlWGE02mll2qaYDLGQ9q1KLGgOshm107RmXUGKIqVfdKgmft3IsNC64kIbafAZqSXa7n5X62bmug6yJhMUkMlmS+KUo5MjPKvowFTlBg+sYCJYvZWREZYYWJsQAtbQpFn4i8nsAqti5pv+f6yWr8p0inDCZzCOfhwBXW4gwY0gcAjvMArvDnPzrvz4XzOW0tOMXMMC3K+fgGDMJXQ</latexit>

    ๏ઢϕΫτϧ aT x = 0 <latexit sha1_base64="RqyD2EOyfZMVrH0BQyOpVLr3C3Y=">AAACCHicbZDLSsNAFIZP6q3WW9Slm2ARXJVEBN0IRTcuK/QGbSyT6bQdOjMJM5NiCXkBn8Gtrt2JW9/CpW/ipM3Cth4Y5uP/z+Ec/iBiVGnX/bYKa+sbm1vF7dLO7t7+gX141FRhLDFp4JCFsh0gRRgVpKGpZqQdSYJ4wEgrGN9lfmtCpKKhqOtpRHyOhoIOKEbaSD3b7gY8QeljPfuf0hu3Z5fdijsrZxW8HMqQV61n/3T7IY45ERozpFTHcyPtJ0hqihlJS91YkQjhMRqSjkGBOFF+Mrs8dc6M0ncGoTRPaGem/p1IEFdqygPTyZEeqWUvE//zOrEeXPsJFVGsicDzRYOYOTp0shicPpUEazY1gLCk5lYHj5BEWJuwFrYEPDWZeMsJrELzouIZfrgsV2/zdIpwAqdwDh5cQRXuoQYNwDCBF3iFN+vZerc+rM95a8HKZ45hoayvX3fpmh8=</latexit> <latexit 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sha1_base64="FaRZ3/g3twDK7hzgFfz0htopocg=">AAAB/HicbZDLSgMxFIbP1Futt1GXboJFcFVmRNBl0Y3LCvYC7VAyaaaNTTJDkhHKUJ/Bra7diVvfxaVvYqadhW39IfDxn3M4J3+YcKaN5307pbX1jc2t8nZlZ3dv/8A9PGrpOFWENknMY9UJsaacSdo0zHDaSRTFIuS0HY5v83r7iSrNYvlgJgkNBB5KFjGCjbVavVBkybTvVr2aNxNaBb+AKhRq9N2f3iAmqaDSEI617vpeYoIMK8MIp9NKL9U0wWSMh7RrUWJBdZDNrp2iM+sMUBQr+6RBM/fvRIaF1hMR2k6BzUgv13Lzv1o3NdF1kDGZpIZKMl8UpRyZGOVfRwOmKDF8YgETxeytiIywwsTYgBa2hCLPxF9OYBVaFzXf8v1ltX5TpFOGEziFc/DhCupwBw1oAoFHeIFXeHOenXfnw/mct5acYuYYFuR8/QKa3JXf</latexit> <latexit sha1_base64="FaRZ3/g3twDK7hzgFfz0htopocg=">AAAB/HicbZDLSgMxFIbP1Futt1GXboJFcFVmRNBl0Y3LCvYC7VAyaaaNTTJDkhHKUJ/Bra7diVvfxaVvYqadhW39IfDxn3M4J3+YcKaN5307pbX1jc2t8nZlZ3dv/8A9PGrpOFWENknMY9UJsaacSdo0zHDaSRTFIuS0HY5v83r7iSrNYvlgJgkNBB5KFjGCjbVavVBkybTvVr2aNxNaBb+AKhRq9N2f3iAmqaDSEI617vpeYoIMK8MIp9NKL9U0wWSMh7RrUWJBdZDNrp2iM+sMUBQr+6RBM/fvRIaF1hMR2k6BzUgv13Lzv1o3NdF1kDGZpIZKMl8UpRyZGOVfRwOmKDF8YgETxeytiIywwsTYgBa2hCLPxF9OYBVaFzXf8v1ltX5TpFOGEziFc/DhCupwBw1oAoFHeIFXeHOenXfnw/mct5acYuYYFuR8/QKa3JXf</latexit> <latexit sha1_base64="FaRZ3/g3twDK7hzgFfz0htopocg=">AAAB/HicbZDLSgMxFIbP1Futt1GXboJFcFVmRNBl0Y3LCvYC7VAyaaaNTTJDkhHKUJ/Bra7diVvfxaVvYqadhW39IfDxn3M4J3+YcKaN5307pbX1jc2t8nZlZ3dv/8A9PGrpOFWENknMY9UJsaacSdo0zHDaSRTFIuS0HY5v83r7iSrNYvlgJgkNBB5KFjGCjbVavVBkybTvVr2aNxNaBb+AKhRq9N2f3iAmqaDSEI617vpeYoIMK8MIp9NKL9U0wWSMh7RrUWJBdZDNrp2iM+sMUBQr+6RBM/fvRIaF1hMR2k6BzUgv13Lzv1o3NdF1kDGZpIZKMl8UpRyZGOVfRwOmKDF8YgETxeytiIywwsTYgBa2hCLPxF9OYBVaFzXf8v1ltX5TpFOGEziFc/DhCupwBw1oAoFHeIFXeHOenXfnw/mct5acYuYYFuR8/QKa3JXf</latexit> aT (x p) = 0 <latexit sha1_base64="O1hy5sRR4dNy9xTDN/dTnCImXo0=">AAACEXicbZDLSgMxFIYz9VbrbdSVuAkWoS4sMyLoRii6cVmhN2jHkkkzbWiSGZKMWIbBh/AZ3Oranbj1CVz6JmbaLmzrgZCP/z+Hk/x+xKjSjvNt5ZaWV1bX8uuFjc2t7R17d6+hwlhiUschC2XLR4owKkhdU81IK5IEcZ+Rpj+8yfzmA5GKhqKmRxHxOOoLGlCMtJG69kHH5wlK72ulDB7T0+yK0pMrp2sXnbIzLrgI7hSKYFrVrv3T6YU45kRozJBSbdeJtJcgqSlmJC10YkUihIeoT9oGBeJEecn4Cyk8NkoPBqE0R2g4Vv9OJIgrNeK+6eRID9S8l4n/ee1YB5deQkUUayLwZFEQM6hDmOUBe1QSrNnIAMKSmrdCPEASYW1Sm9ni89Rk4s4nsAiNs7Jr+O68WLmeppMHh+AIlIALLkAF3IIqqAMMnsALeAVv1rP1bn1Yn5PWnDWd2QczZX39At7dnYo=</latexit> <latexit sha1_base64="O1hy5sRR4dNy9xTDN/dTnCImXo0=">AAACEXicbZDLSgMxFIYz9VbrbdSVuAkWoS4sMyLoRii6cVmhN2jHkkkzbWiSGZKMWIbBh/AZ3Oranbj1CVz6JmbaLmzrgZCP/z+Hk/x+xKjSjvNt5ZaWV1bX8uuFjc2t7R17d6+hwlhiUschC2XLR4owKkhdU81IK5IEcZ+Rpj+8yfzmA5GKhqKmRxHxOOoLGlCMtJG69kHH5wlK72ulDB7T0+yK0pMrp2sXnbIzLrgI7hSKYFrVrv3T6YU45kRozJBSbdeJtJcgqSlmJC10YkUihIeoT9oGBeJEecn4Cyk8NkoPBqE0R2g4Vv9OJIgrNeK+6eRID9S8l4n/ee1YB5deQkUUayLwZFEQM6hDmOUBe1QSrNnIAMKSmrdCPEASYW1Sm9ni89Rk4s4nsAiNs7Jr+O68WLmeppMHh+AIlIALLkAF3IIqqAMMnsALeAVv1rP1bn1Yn5PWnDWd2QczZX39At7dnYo=</latexit> <latexit sha1_base64="O1hy5sRR4dNy9xTDN/dTnCImXo0=">AAACEXicbZDLSgMxFIYz9VbrbdSVuAkWoS4sMyLoRii6cVmhN2jHkkkzbWiSGZKMWIbBh/AZ3Oranbj1CVz6JmbaLmzrgZCP/z+Hk/x+xKjSjvNt5ZaWV1bX8uuFjc2t7R17d6+hwlhiUschC2XLR4owKkhdU81IK5IEcZ+Rpj+8yfzmA5GKhqKmRxHxOOoLGlCMtJG69kHH5wlK72ulDB7T0+yK0pMrp2sXnbIzLrgI7hSKYFrVrv3T6YU45kRozJBSbdeJtJcgqSlmJC10YkUihIeoT9oGBeJEecn4Cyk8NkoPBqE0R2g4Vv9OJIgrNeK+6eRID9S8l4n/ee1YB5deQkUUayLwZFEQM6hDmOUBe1QSrNnIAMKSmrdCPEASYW1Sm9ni89Rk4s4nsAiNs7Jr+O68WLmeppMHh+AIlIALLkAF3IIqqAMMnsALeAVv1rP1bn1Yn5PWnDWd2QczZX39At7dnYo=</latexit> <latexit sha1_base64="O1hy5sRR4dNy9xTDN/dTnCImXo0=">AAACEXicbZDLSgMxFIYz9VbrbdSVuAkWoS4sMyLoRii6cVmhN2jHkkkzbWiSGZKMWIbBh/AZ3Oranbj1CVz6JmbaLmzrgZCP/z+Hk/x+xKjSjvNt5ZaWV1bX8uuFjc2t7R17d6+hwlhiUschC2XLR4owKkhdU81IK5IEcZ+Rpj+8yfzmA5GKhqKmRxHxOOoLGlCMtJG69kHH5wlK72ulDB7T0+yK0pMrp2sXnbIzLrgI7hSKYFrVrv3T6YU45kRozJBSbdeJtJcgqSlmJC10YkUihIeoT9oGBeJEecn4Cyk8NkoPBqE0R2g4Vv9OJIgrNeK+6eRID9S8l4n/ee1YB5deQkUUayLwZFEQM6hDmOUBe1QSrNnIAMKSmrdCPEASYW1Sm9ni89Rk4s4nsAiNs7Jr+O68WLmeppMHh+AIlIALLkAF3IIqqAMMnsALeAVv1rP1bn1Yn5PWnDWd2QczZX39At7dnYo=</latexit> p <latexit sha1_base64="FaRZ3/g3twDK7hzgFfz0htopocg=">AAAB/HicbZDLSgMxFIbP1Futt1GXboJFcFVmRNBl0Y3LCvYC7VAyaaaNTTJDkhHKUJ/Bra7diVvfxaVvYqadhW39IfDxn3M4J3+YcKaN5307pbX1jc2t8nZlZ3dv/8A9PGrpOFWENknMY9UJsaacSdo0zHDaSRTFIuS0HY5v83r7iSrNYvlgJgkNBB5KFjGCjbVavVBkybTvVr2aNxNaBb+AKhRq9N2f3iAmqaDSEI617vpeYoIMK8MIp9NKL9U0wWSMh7RrUWJBdZDNrp2iM+sMUBQr+6RBM/fvRIaF1hMR2k6BzUgv13Lzv1o3NdF1kDGZpIZKMl8UpRyZGOVfRwOmKDF8YgETxeytiIywwsTYgBa2hCLPxF9OYBVaFzXf8v1ltX5TpFOGEziFc/DhCupwBw1oAoFHeIFXeHOenXfnw/mct5acYuYYFuR8/QKa3JXf</latexit> <latexit sha1_base64="FaRZ3/g3twDK7hzgFfz0htopocg=">AAAB/HicbZDLSgMxFIbP1Futt1GXboJFcFVmRNBl0Y3LCvYC7VAyaaaNTTJDkhHKUJ/Bra7diVvfxaVvYqadhW39IfDxn3M4J3+YcKaN5307pbX1jc2t8nZlZ3dv/8A9PGrpOFWENknMY9UJsaacSdo0zHDaSRTFIuS0HY5v83r7iSrNYvlgJgkNBB5KFjGCjbVavVBkybTvVr2aNxNaBb+AKhRq9N2f3iAmqaDSEI617vpeYoIMK8MIp9NKL9U0wWSMh7RrUWJBdZDNrp2iM+sMUBQr+6RBM/fvRIaF1hMR2k6BzUgv13Lzv1o3NdF1kDGZpIZKMl8UpRyZGOVfRwOmKDF8YgETxeytiIywwsTYgBa2hCLPxF9OYBVaFzXf8v1ltX5TpFOGEziFc/DhCupwBw1oAoFHeIFXeHOenXfnw/mct5acYuYYFuR8/QKa3JXf</latexit> <latexit sha1_base64="FaRZ3/g3twDK7hzgFfz0htopocg=">AAAB/HicbZDLSgMxFIbP1Futt1GXboJFcFVmRNBl0Y3LCvYC7VAyaaaNTTJDkhHKUJ/Bra7diVvfxaVvYqadhW39IfDxn3M4J3+YcKaN5307pbX1jc2t8nZlZ3dv/8A9PGrpOFWENknMY9UJsaacSdo0zHDaSRTFIuS0HY5v83r7iSrNYvlgJgkNBB5KFjGCjbVavVBkybTvVr2aNxNaBb+AKhRq9N2f3iAmqaDSEI617vpeYoIMK8MIp9NKL9U0wWSMh7RrUWJBdZDNrp2iM+sMUBQr+6RBM/fvRIaF1hMR2k6BzUgv13Lzv1o3NdF1kDGZpIZKMl8UpRyZGOVfRwOmKDF8YgETxeytiIywwsTYgBa2hCLPxF9OYBVaFzXf8v1ltX5TpFOGEziFc/DhCupwBw1oAoFHeIFXeHOenXfnw/mct5acYuYYFuR8/QKa3JXf</latexit> <latexit sha1_base64="FaRZ3/g3twDK7hzgFfz0htopocg=">AAAB/HicbZDLSgMxFIbP1Futt1GXboJFcFVmRNBl0Y3LCvYC7VAyaaaNTTJDkhHKUJ/Bra7diVvfxaVvYqadhW39IfDxn3M4J3+YcKaN5307pbX1jc2t8nZlZ3dv/8A9PGrpOFWENknMY9UJsaacSdo0zHDaSRTFIuS0HY5v83r7iSrNYvlgJgkNBB5KFjGCjbVavVBkybTvVr2aNxNaBb+AKhRq9N2f3iAmqaDSEI617vpeYoIMK8MIp9NKL9U0wWSMh7RrUWJBdZDNrp2iM+sMUBQr+6RBM/fvRIaF1hMR2k6BzUgv13Lzv1o3NdF1kDGZpIZKMl8UpRyZGOVfRwOmKDF8YgETxeytiIywwsTYgBa2hCLPxF9OYBVaFzXf8v1ltX5TpFOGEziFc/DhCupwBw1oAoFHeIFXeHOenXfnw/mct5acYuYYFuR8/QKa3JXf</latexit>
  25. ڑ཭ͷެࣜ ฏ໘ ͱ఺ ͷڑ཭͸ ͳͥ͜͏ͳΔͷ͔ʁ aT x + b =

    0 <latexit sha1_base64="HMM5EHBzO2EEUJoasCozEeGkGz4=">AAACCnicbZDLSgMxFIYz9VbrbaxLN8EiCEKZEUE3QtGNywq9QTuWTJppQ5PMkGSkZZg38Bnc6tqduPUlXPomZtpZ2NYDIR//fw7n8PsRo0o7zrdVWFvf2Nwqbpd2dvf2D+zDckuFscSkiUMWyo6PFGFUkKammpFOJAniPiNtf3yX+e0nIhUNRUNPI+JxNBQ0oBhpI/Xtcs/nCUofG9k/Sc/9G6dvV5yqMyu4Cm4OFZBXvW//9AYhjjkRGjOkVNd1Iu0lSGqKGUlLvViRCOExGpKuQYE4UV4yuz2Fp0YZwCCU5gkNZ+rfiQRxpabcN50c6ZFa9jLxP68b6+DaS6iIYk0Eni8KYgZ1CLMg4IBKgjWbGkBYUnMrxCMkEdYmroUtPk9NJu5yAqvQuqi6hh8uK7XbPJ0iOAYn4Ay44ArUwD2ogybAYAJewCt4s56td+vD+py3Fqx85ggslPX1C604msA=</latexit> <latexit sha1_base64="HMM5EHBzO2EEUJoasCozEeGkGz4=">AAACCnicbZDLSgMxFIYz9VbrbaxLN8EiCEKZEUE3QtGNywq9QTuWTJppQ5PMkGSkZZg38Bnc6tqduPUlXPomZtpZ2NYDIR//fw7n8PsRo0o7zrdVWFvf2Nwqbpd2dvf2D+zDckuFscSkiUMWyo6PFGFUkKammpFOJAniPiNtf3yX+e0nIhUNRUNPI+JxNBQ0oBhpI/Xtcs/nCUofG9k/Sc/9G6dvV5yqMyu4Cm4OFZBXvW//9AYhjjkRGjOkVNd1Iu0lSGqKGUlLvViRCOExGpKuQYE4UV4yuz2Fp0YZwCCU5gkNZ+rfiQRxpabcN50c6ZFa9jLxP68b6+DaS6iIYk0Eni8KYgZ1CLMg4IBKgjWbGkBYUnMrxCMkEdYmroUtPk9NJu5yAqvQuqi6hh8uK7XbPJ0iOAYn4Ay44ArUwD2ogybAYAJewCt4s56td+vD+py3Fqx85ggslPX1C604msA=</latexit> <latexit sha1_base64="HMM5EHBzO2EEUJoasCozEeGkGz4=">AAACCnicbZDLSgMxFIYz9VbrbaxLN8EiCEKZEUE3QtGNywq9QTuWTJppQ5PMkGSkZZg38Bnc6tqduPUlXPomZtpZ2NYDIR//fw7n8PsRo0o7zrdVWFvf2Nwqbpd2dvf2D+zDckuFscSkiUMWyo6PFGFUkKammpFOJAniPiNtf3yX+e0nIhUNRUNPI+JxNBQ0oBhpI/Xtcs/nCUofG9k/Sc/9G6dvV5yqMyu4Cm4OFZBXvW//9AYhjjkRGjOkVNd1Iu0lSGqKGUlLvViRCOExGpKuQYE4UV4yuz2Fp0YZwCCU5gkNZ+rfiQRxpabcN50c6ZFa9jLxP68b6+DaS6iIYk0Eni8KYgZ1CLMg4IBKgjWbGkBYUnMrxCMkEdYmroUtPk9NJu5yAqvQuqi6hh8uK7XbPJ0iOAYn4Ay44ArUwD2ogybAYAJewCt4s56td+vD+py3Fqx85ggslPX1C604msA=</latexit> <latexit sha1_base64="HMM5EHBzO2EEUJoasCozEeGkGz4=">AAACCnicbZDLSgMxFIYz9VbrbaxLN8EiCEKZEUE3QtGNywq9QTuWTJppQ5PMkGSkZZg38Bnc6tqduPUlXPomZtpZ2NYDIR//fw7n8PsRo0o7zrdVWFvf2Nwqbpd2dvf2D+zDckuFscSkiUMWyo6PFGFUkKammpFOJAniPiNtf3yX+e0nIhUNRUNPI+JxNBQ0oBhpI/Xtcs/nCUofG9k/Sc/9G6dvV5yqMyu4Cm4OFZBXvW//9AYhjjkRGjOkVNd1Iu0lSGqKGUlLvViRCOExGpKuQYE4UV4yuz2Fp0YZwCCU5gkNZ+rfiQRxpabcN50c6ZFa9jLxP68b6+DaS6iIYk0Eni8KYgZ1CLMg4IBKgjWbGkBYUnMrxCMkEdYmroUtPk9NJu5yAqvQuqi6hh8uK7XbPJ0iOAYn4Ay44ArUwD2ogybAYAJewCt4s56td+vD+py3Fqx85ggslPX1C604msA=</latexit> aT x + b = 0 <latexit sha1_base64="HMM5EHBzO2EEUJoasCozEeGkGz4=">AAACCnicbZDLSgMxFIYz9VbrbaxLN8EiCEKZEUE3QtGNywq9QTuWTJppQ5PMkGSkZZg38Bnc6tqduPUlXPomZtpZ2NYDIR//fw7n8PsRo0o7zrdVWFvf2Nwqbpd2dvf2D+zDckuFscSkiUMWyo6PFGFUkKammpFOJAniPiNtf3yX+e0nIhUNRUNPI+JxNBQ0oBhpI/Xtcs/nCUofG9k/Sc/9G6dvV5yqMyu4Cm4OFZBXvW//9AYhjjkRGjOkVNd1Iu0lSGqKGUlLvViRCOExGpKuQYE4UV4yuz2Fp0YZwCCU5gkNZ+rfiQRxpabcN50c6ZFa9jLxP68b6+DaS6iIYk0Eni8KYgZ1CLMg4IBKgjWbGkBYUnMrxCMkEdYmroUtPk9NJu5yAqvQuqi6hh8uK7XbPJ0iOAYn4Ay44ArUwD2ogybAYAJewCt4s56td+vD+py3Fqx85ggslPX1C604msA=</latexit> <latexit sha1_base64="HMM5EHBzO2EEUJoasCozEeGkGz4=">AAACCnicbZDLSgMxFIYz9VbrbaxLN8EiCEKZEUE3QtGNywq9QTuWTJppQ5PMkGSkZZg38Bnc6tqduPUlXPomZtpZ2NYDIR//fw7n8PsRo0o7zrdVWFvf2Nwqbpd2dvf2D+zDckuFscSkiUMWyo6PFGFUkKammpFOJAniPiNtf3yX+e0nIhUNRUNPI+JxNBQ0oBhpI/Xtcs/nCUofG9k/Sc/9G6dvV5yqMyu4Cm4OFZBXvW//9AYhjjkRGjOkVNd1Iu0lSGqKGUlLvViRCOExGpKuQYE4UV4yuz2Fp0YZwCCU5gkNZ+rfiQRxpabcN50c6ZFa9jLxP68b6+DaS6iIYk0Eni8KYgZ1CLMg4IBKgjWbGkBYUnMrxCMkEdYmroUtPk9NJu5yAqvQuqi6hh8uK7XbPJ0iOAYn4Ay44ArUwD2ogybAYAJewCt4s56td+vD+py3Fqx85ggslPX1C604msA=</latexit> <latexit 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sha1_base64="HMM5EHBzO2EEUJoasCozEeGkGz4=">AAACCnicbZDLSgMxFIYz9VbrbaxLN8EiCEKZEUE3QtGNywq9QTuWTJppQ5PMkGSkZZg38Bnc6tqduPUlXPomZtpZ2NYDIR//fw7n8PsRo0o7zrdVWFvf2Nwqbpd2dvf2D+zDckuFscSkiUMWyo6PFGFUkKammpFOJAniPiNtf3yX+e0nIhUNRUNPI+JxNBQ0oBhpI/Xtcs/nCUofG9k/Sc/9G6dvV5yqMyu4Cm4OFZBXvW//9AYhjjkRGjOkVNd1Iu0lSGqKGUlLvViRCOExGpKuQYE4UV4yuz2Fp0YZwCCU5gkNZ+rfiQRxpabcN50c6ZFa9jLxP68b6+DaS6iIYk0Eni8KYgZ1CLMg4IBKgjWbGkBYUnMrxCMkEdYmroUtPk9NJu5yAqvQuqi6hh8uK7XbPJ0iOAYn4Ay44ArUwD2ogybAYAJewCt4s56td+vD+py3Fqx85ggslPX1C604msA=</latexit> q <latexit 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  26. ূ໌ɿ aT x + b = 0 <latexit sha1_base64="HMM5EHBzO2EEUJoasCozEeGkGz4=">AAACCnicbZDLSgMxFIYz9VbrbaxLN8EiCEKZEUE3QtGNywq9QTuWTJppQ5PMkGSkZZg38Bnc6tqduPUlXPomZtpZ2NYDIR//fw7n8PsRo0o7zrdVWFvf2Nwqbpd2dvf2D+zDckuFscSkiUMWyo6PFGFUkKammpFOJAniPiNtf3yX+e0nIhUNRUNPI+JxNBQ0oBhpI/Xtcs/nCUofG9k/Sc/9G6dvV5yqMyu4Cm4OFZBXvW//9AYhjjkRGjOkVNd1Iu0lSGqKGUlLvViRCOExGpKuQYE4UV4yuz2Fp0YZwCCU5gkNZ+rfiQRxpabcN50c6ZFa9jLxP68b6+DaS6iIYk0Eni8KYgZ1CLMg4IBKgjWbGkBYUnMrxCMkEdYmroUtPk9NJu5yAqvQuqi6hh8uK7XbPJ0iOAYn4Ay44ArUwD2ogybAYAJewCt4s56td+vD+py3Fqx85ggslPX1C604msA=</latexit> <latexit

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sha1_base64="umZVRH5x05q/SxlLmYAdo4zRalQ=">AAACDXicbVDLSsNAFL3xWesrKq7cBIvgxpKIoBuh6MZlBfuANpTJdNIOnZnEmYlQQr7Bb3Cra3fi1m9w6Z84abOwrQcu93DOvdzLCWJGlXbdb2tpeWV1bb20Ud7c2t7Ztff2mypKJCYNHLFItgOkCKOCNDTVjLRjSRAPGGkFo9vcbz0RqWgkHvQ4Jj5HA0FDipE2Us8+7AY8ldlZ3h6z61HeUdazK27VncBZJF5BKlCg3rN/uv0IJ5wIjRlSquO5sfZTJDXFjGTlbqJIjPAIDUjHUIE4UX46eT9zTozSd8JImhLamah/N1LElRrzwExypIdq3svF/7xOosMrP6UiTjQReHooTJijIyfPwulTSbBmY0MQltT86uAhkghrk9jMlYDnmXjzCSyS5nnVM/z+olK7KdIpwREcwyl4cAk1uIM6NABDCi/wCm/Ws/VufVif09Elq9g5gBlYX7/mppyV</latexit> r = ka + q <latexit 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sha1_base64="HJt5in2ckuCt46DXcG848ElGwZg=">AAACDXicbVDLSsNAFL3xWesrKq7cBIsgCCURQTdC0Y3LCvYBbSiT6aQdOjOJMxOhhHyD3+BW1+7Erd/g0j9x0mZhWw9c7uGce7mXE8SMKu2639bS8srq2nppo7y5tb2za+/tN1WUSEwaOGKRbAdIEUYFaWiqGWnHkiAeMNIKRre533oiUtFIPOhxTHyOBoKGFCNtpJ592A14KrPrUd5Rdpa3x6xnV9yqO4GzSLyCVKBAvWf/dPsRTjgRGjOkVMdzY+2nSGqKGcnK3USRGOERGpCOoQJxovx08n7mnBil74SRNCW0M1H/bqSIKzXmgZnkSA/VvJeL/3mdRIdXfkpFnGgi8PRQmDBHR06ehdOnkmDNxoYgLKn51cFDJBHWJrGZKwHPM/HmE1gkzfOqZ/j9RaV2U6RTgiM4hlPw4BJqcAd1aACGFF7gFd6sZ+vd+rA+p6NLVrFzADOwvn4B46Cckw==</latexit> <latexit sha1_base64="HJt5in2ckuCt46DXcG848ElGwZg=">AAACDXicbVDLSsNAFL3xWesrKq7cBIsgCCURQTdC0Y3LCvYBbSiT6aQdOjOJMxOhhHyD3+BW1+7Erd/g0j9x0mZhWw9c7uGce7mXE8SMKu2639bS8srq2nppo7y5tb2za+/tN1WUSEwaOGKRbAdIEUYFaWiqGWnHkiAeMNIKRre533oiUtFIPOhxTHyOBoKGFCNtpJ592A14KrPrUd5Rdpa3x6xnV9yqO4GzSLyCVKBAvWf/dPsRTjgRGjOkVMdzY+2nSGqKGcnK3USRGOERGpCOoQJxovx08n7mnBil74SRNCW0M1H/bqSIKzXmgZnkSA/VvJeL/3mdRIdXfkpFnGgi8PRQmDBHR06ehdOnkmDNxoYgLKn51cFDJBHWJrGZKwHPM/HmE1gkzfOqZ/j9RaV2U6RTgiM4hlPw4BJqcAd1aACGFF7gFd6sZ+vd+rA+p6NLVrFzADOwvn4B46Cckw==</latexit> aT (ka + q) + b = 0 <latexit sha1_base64="uTlJKhpx+fH4B9I1nkfXD9g6FRE=">AAACFHicbZDLSgMxFIYzXmu9jbrUxWARKoUyI4JuhKIblxV6g3YsSZq2oUlmTDJCGWbjQ/gMbnXtTty6d+mbmGlnYVsPhHz8/zmc5Echo0q77re1tLyyurae28hvbm3v7Np7+w0VRBKTOg5YIFsIKsKoIHVNNSOtUBLIESNNNLpJ/eYjkYoGoqbHIfE5HAjapxhqI3Xtow7iMUzua8XRlErp9ZCcltCV27ULbtmdlLMIXgYFkFW1a/90egGOOBEaM6hU23ND7cdQaooZSfKdSJEQ4hEckLZBATlRfjz5ReKcGKXn9ANpjtDORP07EUOu1Jgj08mhHqp5LxX/89qR7l/6MRVhpInA00X9iDk6cNJInB6VBGs2NgCxpOatDh5CCbE2wc1sQTwxmXjzCSxC46zsGb47L1Sus3Ry4BAcgyLwwAWogFtQBXWAwRN4Aa/gzXq23q0P63PaumRlMwdgpqyvX8wZnog=</latexit> <latexit sha1_base64="uTlJKhpx+fH4B9I1nkfXD9g6FRE=">AAACFHicbZDLSgMxFIYzXmu9jbrUxWARKoUyI4JuhKIblxV6g3YsSZq2oUlmTDJCGWbjQ/gMbnXtTty6d+mbmGlnYVsPhHz8/zmc5Echo0q77re1tLyyurae28hvbm3v7Np7+w0VRBKTOg5YIFsIKsKoIHVNNSOtUBLIESNNNLpJ/eYjkYoGoqbHIfE5HAjapxhqI3Xtow7iMUzua8XRlErp9ZCcltCV27ULbtmdlLMIXgYFkFW1a/90egGOOBEaM6hU23ND7cdQaooZSfKdSJEQ4hEckLZBATlRfjz5ReKcGKXn9ANpjtDORP07EUOu1Jgj08mhHqp5LxX/89qR7l/6MRVhpInA00X9iDk6cNJInB6VBGs2NgCxpOatDh5CCbE2wc1sQTwxmXjzCSxC46zsGb47L1Sus3Ry4BAcgyLwwAWogFtQBXWAwRN4Aa/gzXq23q0P63PaumRlMwdgpqyvX8wZnog=</latexit> <latexit sha1_base64="uTlJKhpx+fH4B9I1nkfXD9g6FRE=">AAACFHicbZDLSgMxFIYzXmu9jbrUxWARKoUyI4JuhKIblxV6g3YsSZq2oUlmTDJCGWbjQ/gMbnXtTty6d+mbmGlnYVsPhHz8/zmc5Echo0q77re1tLyyurae28hvbm3v7Np7+w0VRBKTOg5YIFsIKsKoIHVNNSOtUBLIESNNNLpJ/eYjkYoGoqbHIfE5HAjapxhqI3Xtow7iMUzua8XRlErp9ZCcltCV27ULbtmdlLMIXgYFkFW1a/90egGOOBEaM6hU23ND7cdQaooZSfKdSJEQ4hEckLZBATlRfjz5ReKcGKXn9ANpjtDORP07EUOu1Jgj08mhHqp5LxX/89qR7l/6MRVhpInA00X9iDk6cNJInB6VBGs2NgCxpOatDh5CCbE2wc1sQTwxmXjzCSxC46zsGb47L1Sus3Ry4BAcgyLwwAWogFtQBXWAwRN4Aa/gzXq23q0P63PaumRlMwdgpqyvX8wZnog=</latexit> <latexit sha1_base64="uTlJKhpx+fH4B9I1nkfXD9g6FRE=">AAACFHicbZDLSgMxFIYzXmu9jbrUxWARKoUyI4JuhKIblxV6g3YsSZq2oUlmTDJCGWbjQ/gMbnXtTty6d+mbmGlnYVsPhHz8/zmc5Echo0q77re1tLyyurae28hvbm3v7Np7+w0VRBKTOg5YIFsIKsKoIHVNNSOtUBLIESNNNLpJ/eYjkYoGoqbHIfE5HAjapxhqI3Xtow7iMUzua8XRlErp9ZCcltCV27ULbtmdlLMIXgYFkFW1a/90egGOOBEaM6hU23ND7cdQaooZSfKdSJEQ4hEckLZBATlRfjz5ReKcGKXn9ANpjtDORP07EUOu1Jgj08mhHqp5LxX/89qR7l/6MRVhpInA00X9iDk6cNJInB6VBGs2NgCxpOatDh5CCbE2wc1sQTwxmXjzCSxC46zsGb47L1Sus3Ry4BAcgyLwwAWogFtQBXWAwRN4Aa/gzXq23q0P63PaumRlMwdgpqyvX8wZnog=</latexit> k = aT q + b kak2 <latexit sha1_base64="SAPyQunYf0MbATlmuZiTim93zwo=">AAACLHicbZBNS8MwGMdTX+d8q3r0EhyCII52DPQiDL14nLA3WLuRZukWlrQ1SYVR+kX8EH4Gr3r2IuLBi5/DdOvBbT4Q+OX/fx6e5O9FjEplWR/Gyura+sZmYau4vbO7t28eHLZkGAtMmjhkoeh4SBJGA9JUVDHSiQRB3GOk7Y1vM7/9SISkYdBQk4i4HA0D6lOMlJb6ZnV8fQEdXyCcOB5PUNprwAwe0nMvTRzWIkLBmQMdkd16lbRvlqyyNS24DHYOJZBXvW9+O4MQx5wECjMkZde2IuUmSCiKGUmLTixJhPAYDUlXY4A4kW4y/V0KT7UygH4o9AkUnKp/JxLEpZxwT3dypEZy0cvE/7xurPwrN6FBFCsS4NkiP2ZQhTCLCg6oIFixiQaEBdVvhXiEdFRKBzq3xeNZJvZiAsvQqpRtzffVUu0mT6cAjsEJOAM2uAQ1cAfqoAkweAIv4BW8Gc/Gu/FpfM1aV4x85gjMlfHzC1AhqMk=</latexit> <latexit sha1_base64="SAPyQunYf0MbATlmuZiTim93zwo=">AAACLHicbZBNS8MwGMdTX+d8q3r0EhyCII52DPQiDL14nLA3WLuRZukWlrQ1SYVR+kX8EH4Gr3r2IuLBi5/DdOvBbT4Q+OX/fx6e5O9FjEplWR/Gyura+sZmYau4vbO7t28eHLZkGAtMmjhkoeh4SBJGA9JUVDHSiQRB3GOk7Y1vM7/9SISkYdBQk4i4HA0D6lOMlJb6ZnV8fQEdXyCcOB5PUNprwAwe0nMvTRzWIkLBmQMdkd16lbRvlqyyNS24DHYOJZBXvW9+O4MQx5wECjMkZde2IuUmSCiKGUmLTixJhPAYDUlXY4A4kW4y/V0KT7UygH4o9AkUnKp/JxLEpZxwT3dypEZy0cvE/7xurPwrN6FBFCsS4NkiP2ZQhTCLCg6oIFixiQaEBdVvhXiEdFRKBzq3xeNZJvZiAsvQqpRtzffVUu0mT6cAjsEJOAM2uAQ1cAfqoAkweAIv4BW8Gc/Gu/FpfM1aV4x85gjMlfHzC1AhqMk=</latexit> <latexit sha1_base64="SAPyQunYf0MbATlmuZiTim93zwo=">AAACLHicbZBNS8MwGMdTX+d8q3r0EhyCII52DPQiDL14nLA3WLuRZukWlrQ1SYVR+kX8EH4Gr3r2IuLBi5/DdOvBbT4Q+OX/fx6e5O9FjEplWR/Gyura+sZmYau4vbO7t28eHLZkGAtMmjhkoeh4SBJGA9JUVDHSiQRB3GOk7Y1vM7/9SISkYdBQk4i4HA0D6lOMlJb6ZnV8fQEdXyCcOB5PUNprwAwe0nMvTRzWIkLBmQMdkd16lbRvlqyyNS24DHYOJZBXvW9+O4MQx5wECjMkZde2IuUmSCiKGUmLTixJhPAYDUlXY4A4kW4y/V0KT7UygH4o9AkUnKp/JxLEpZxwT3dypEZy0cvE/7xurPwrN6FBFCsS4NkiP2ZQhTCLCg6oIFixiQaEBdVvhXiEdFRKBzq3xeNZJvZiAsvQqpRtzffVUu0mT6cAjsEJOAM2uAQ1cAfqoAkweAIv4BW8Gc/Gu/FpfM1aV4x85gjMlfHzC1AhqMk=</latexit> <latexit sha1_base64="SAPyQunYf0MbATlmuZiTim93zwo=">AAACLHicbZBNS8MwGMdTX+d8q3r0EhyCII52DPQiDL14nLA3WLuRZukWlrQ1SYVR+kX8EH4Gr3r2IuLBi5/DdOvBbT4Q+OX/fx6e5O9FjEplWR/Gyura+sZmYau4vbO7t28eHLZkGAtMmjhkoeh4SBJGA9JUVDHSiQRB3GOk7Y1vM7/9SISkYdBQk4i4HA0D6lOMlJb6ZnV8fQEdXyCcOB5PUNprwAwe0nMvTRzWIkLBmQMdkd16lbRvlqyyNS24DHYOJZBXvW9+O4MQx5wECjMkZde2IuUmSCiKGUmLTixJhPAYDUlXY4A4kW4y/V0KT7UygH4o9AkUnKp/JxLEpZxwT3dypEZy0cvE/7xurPwrN6FBFCsS4NkiP2ZQhTCLCg6oIFixiQaEBdVvhXiEdFRKBzq3xeNZJvZiAsvQqpRtzffVUu0mT6cAjsEJOAM2uAQ1cAfqoAkweAIv4BW8Gc/Gu/FpfM1aV4x85gjMlfHzC1AhqMk=</latexit> Αͬͯ kr qk = kkak = |k|kak = |aT q + b| kak2 · kak = |aT q + b| kak <latexit sha1_base64="gnDePJXseCAJHsN+oQL/TlGzlXE=">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</latexit> <latexit sha1_base64="gnDePJXseCAJHsN+oQL/TlGzlXE=">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</latexit> <latexit sha1_base64="gnDePJXseCAJHsN+oQL/TlGzlXE=">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</latexit> <latexit sha1_base64="gnDePJXseCAJHsN+oQL/TlGzlXE=">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</latexit> ڑ཭͸
  27. ิ଍ aT x + b <latexit sha1_base64="r3ZwId/5AjcFNnUqyPa4C5cfoXE=">AAACCHicbZDLSgMxFIYz9VbrbdSlm2ARBKHMiKDLohuXFXqDdixJmrahSWZIMsUyzAv4DG517U7c+hYufRMz7Sxs64GQj/8/h3P4ccSZNp737RTW1jc2t4rbpZ3dvf0D9/CoqcNYEdogIQ9VGyNNOZO0YZjhtB0pigTmtIXHd5nfmlClWSjrZhrRQKChZANGkLFSz3W7WCQofaxn/1N6gXtu2at4s4Kr4OdQBnnVeu5Ptx+SWFBpCEdad3wvMkGClGGE07TUjTWNEBmjIe1YlEhQHSSzy1N4ZpU+HITKPmngTP07kSCh9VRg2ymQGellLxP/8zqxGdwECZNRbKgk80WDmEMTwiwG2GeKEsOnFhBRzN4KyQgpRIwNa2ELFqnNxF9OYBWalxXf8sNVuXqbp1MEJ+AUnAMfXIMquAc10AAETMALeAVvzrPz7nw4n/PWgpPPHIOFcr5+Aao3mj8=</latexit> <latexit sha1_base64="r3ZwId/5AjcFNnUqyPa4C5cfoXE=">AAACCHicbZDLSgMxFIYz9VbrbdSlm2ARBKHMiKDLohuXFXqDdixJmrahSWZIMsUyzAv4DG517U7c+hYufRMz7Sxs64GQj/8/h3P4ccSZNp737RTW1jc2t4rbpZ3dvf0D9/CoqcNYEdogIQ9VGyNNOZO0YZjhtB0pigTmtIXHd5nfmlClWSjrZhrRQKChZANGkLFSz3W7WCQofaxn/1N6gXtu2at4s4Kr4OdQBnnVeu5Ptx+SWFBpCEdad3wvMkGClGGE07TUjTWNEBmjIe1YlEhQHSSzy1N4ZpU+HITKPmngTP07kSCh9VRg2ymQGellLxP/8zqxGdwECZNRbKgk80WDmEMTwiwG2GeKEsOnFhBRzN4KyQgpRIwNa2ELFqnNxF9OYBWalxXf8sNVuXqbp1MEJ+AUnAMfXIMquAc10AAETMALeAVvzrPz7nw4n/PWgpPPHIOFcr5+Aao3mj8=</latexit> <latexit

    sha1_base64="r3ZwId/5AjcFNnUqyPa4C5cfoXE=">AAACCHicbZDLSgMxFIYz9VbrbdSlm2ARBKHMiKDLohuXFXqDdixJmrahSWZIMsUyzAv4DG517U7c+hYufRMz7Sxs64GQj/8/h3P4ccSZNp737RTW1jc2t4rbpZ3dvf0D9/CoqcNYEdogIQ9VGyNNOZO0YZjhtB0pigTmtIXHd5nfmlClWSjrZhrRQKChZANGkLFSz3W7WCQofaxn/1N6gXtu2at4s4Kr4OdQBnnVeu5Ptx+SWFBpCEdad3wvMkGClGGE07TUjTWNEBmjIe1YlEhQHSSzy1N4ZpU+HITKPmngTP07kSCh9VRg2ymQGellLxP/8zqxGdwECZNRbKgk80WDmEMTwiwG2GeKEsOnFhBRzN4KyQgpRIwNa2ELFqnNxF9OYBWalxXf8sNVuXqbp1MEJ+AUnAMfXIMquAc10AAETMALeAVvzrPz7nw4n/PWgpPPHIOFcr5+Aao3mj8=</latexit> <latexit sha1_base64="r3ZwId/5AjcFNnUqyPa4C5cfoXE=">AAACCHicbZDLSgMxFIYz9VbrbdSlm2ARBKHMiKDLohuXFXqDdixJmrahSWZIMsUyzAv4DG517U7c+hYufRMz7Sxs64GQj/8/h3P4ccSZNp737RTW1jc2t4rbpZ3dvf0D9/CoqcNYEdogIQ9VGyNNOZO0YZjhtB0pigTmtIXHd5nfmlClWSjrZhrRQKChZANGkLFSz3W7WCQofaxn/1N6gXtu2at4s4Kr4OdQBnnVeu5Ptx+SWFBpCEdad3wvMkGClGGE07TUjTWNEBmjIe1YlEhQHSSzy1N4ZpU+HITKPmngTP07kSCh9VRg2ymQGellLxP/8zqxGdwECZNRbKgk80WDmEMTwiwG2GeKEsOnFhBRzN4KyQgpRIwNa2ELFqnNxF9OYBWalxXf8sNVuXqbp1MEJ+AUnAMfXIMquAc10AAETMALeAVvzrPz7nw4n/PWgpPPHIOFcr5+Aao3mj8=</latexit> ͷූ߸͸ʮ఺͕ฏ໘ͷͲͪΒଆʹ͋Δ͔ʯΛද͢ aT x + b = 0 <latexit sha1_base64="HMM5EHBzO2EEUJoasCozEeGkGz4=">AAACCnicbZDLSgMxFIYz9VbrbaxLN8EiCEKZEUE3QtGNywq9QTuWTJppQ5PMkGSkZZg38Bnc6tqduPUlXPomZtpZ2NYDIR//fw7n8PsRo0o7zrdVWFvf2Nwqbpd2dvf2D+zDckuFscSkiUMWyo6PFGFUkKammpFOJAniPiNtf3yX+e0nIhUNRUNPI+JxNBQ0oBhpI/Xtcs/nCUofG9k/Sc/9G6dvV5yqMyu4Cm4OFZBXvW//9AYhjjkRGjOkVNd1Iu0lSGqKGUlLvViRCOExGpKuQYE4UV4yuz2Fp0YZwCCU5gkNZ+rfiQRxpabcN50c6ZFa9jLxP68b6+DaS6iIYk0Eni8KYgZ1CLMg4IBKgjWbGkBYUnMrxCMkEdYmroUtPk9NJu5yAqvQuqi6hh8uK7XbPJ0iOAYn4Ay44ArUwD2ogybAYAJewCt4s56td+vD+py3Fqx85ggslPX1C604msA=</latexit> <latexit 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sha1_base64="JlkTycPGMu3VeiJko99LKeudvGc=">AAACCnicbZDLSgMxFIYz9VbrbaxLN8EiCEKZEUFXUnTjskJv0I4lk2ba0CQzJBlpGeYNfAa3unYnbn0Jl76JmXYWtvVAyMf/n8M5/H7EqNKO820V1tY3NreK26Wd3b39A/uw3FJhLDFp4pCFsuMjRRgVpKmpZqQTSYK4z0jbH99lfvuJSEVD0dDTiHgcDQUNKEbaSH273PN5gtLHRvZP0nP/xunbFafqzAqugptDBeRV79s/vUGIY06Exgwp1XWdSHsJkppiRtJSL1YkQniMhqRrUCBOlJfMbk/hqVEGMAileULDmfp3IkFcqSn3TSdHeqSWvUz8z+vGOrj2EiqiWBOB54uCmEEdwiwIOKCSYM2mBhCW1NwK8QhJhLWJa2GLz1OTibucwCq0Lqqu4YfLSu02T6cIjsEJOAMuuAI1cA/qoAkwmIAX8ArerGfr3fqwPuetBSufOQILZX39Aq7MmsE=</latexit> aT x + b < 0 <latexit 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sha1_base64="BxrYJtz1AChLZ/R1RBrDte3dutg=">AAACCnicbZDLSgMxFIYz9VbrbaxLN8EiCEKZEUEXLopuXFboDdqxZNJMG5pkhiQjLcO8gc/gVtfuxK0v4dI3MdPOwrYeCPn4/3M4h9+PGFXacb6twtr6xuZWcbu0s7u3f2AfllsqjCUmTRyyUHZ8pAijgjQ11Yx0IkkQ9xlp++O7zG8/EaloKBp6GhGPo6GgAcVIG6lvl3s+T1D62Mj+SXru3zh9u+JUnVnBVXBzqIC86n37pzcIccyJ0JghpbquE2kvQVJTzEha6sWKRAiP0ZB0DQrEifKS2e0pPDXKAAahNE9oOFP/TiSIKzXlvunkSI/UspeJ/3ndWAfXXkJFFGsi8HxREDOoQ5gFAQdUEqzZ1ADCkppbIR4hibA2cS1s8XlqMnGXE1iF1kXVNfxwWand5ukUwTE4AWfABVegBu5BHTQBBhPwAl7Bm/VsvVsf1ue8tWDlM0dgoayvX6ukmr8=</latexit> ڑ཭ͷެ͔ࣜΒઈର஋Λͱͬͨ΋ͷ ͸ɺཪද৘ใ෇͖ͷڑ཭ͱߟ͑Δ͜ͱ΋Ͱ͖Δ aT x + b kak <latexit sha1_base64="TqxrqPDuqMYLBan5+F+1Z9+nc4A=">AAACIHicbZDLSgMxFIYzXmu9jbp0EyxCQSgzIuiy6MZlhd6gM5YkzbShycyQZMQyzCv4ED6DW127E5e6803MtLOwrQdCPv7/HE7y45gzpR3ny1pZXVvf2Cxtlbd3dvf27YPDtooSSWiLRDySXYwU5SykLc00p91YUiQwpx08vsn9zgOVikVhU09i6gs0DFnACNJG6ttVL5CIpB4WKcrum/n9mJ3hLPV4m0oNEfRkDlnfrjg1Z1pwGdwCKqCoRt/+8QYRSQQNNeFIqZ7rxNpPkdSMcJqVvUTRGJExGtKewRAJqvx0+qMMnhplAINImhNqOFX/TqRIKDUR2HQKpEdq0cvF/7xeooMrP2VhnGgaktmiIOFQRzCPBw6YpETziQFEJDNvhWSETETahDi3BYs8E3cxgWVon9dcw3cXlfp1kU4JHIMTUAUuuAR1cAsaoAUIeAIv4BW8Wc/Wu/Vhfc5aV6xi5gjMlfX9C/SKpJA=</latexit> <latexit sha1_base64="TqxrqPDuqMYLBan5+F+1Z9+nc4A=">AAACIHicbZDLSgMxFIYzXmu9jbp0EyxCQSgzIuiy6MZlhd6gM5YkzbShycyQZMQyzCv4ED6DW127E5e6803MtLOwrQdCPv7/HE7y45gzpR3ny1pZXVvf2Cxtlbd3dvf27YPDtooSSWiLRDySXYwU5SykLc00p91YUiQwpx08vsn9zgOVikVhU09i6gs0DFnACNJG6ttVL5CIpB4WKcrum/n9mJ3hLPV4m0oNEfRkDlnfrjg1Z1pwGdwCKqCoRt/+8QYRSQQNNeFIqZ7rxNpPkdSMcJqVvUTRGJExGtKewRAJqvx0+qMMnhplAINImhNqOFX/TqRIKDUR2HQKpEdq0cvF/7xeooMrP2VhnGgaktmiIOFQRzCPBw6YpETziQFEJDNvhWSETETahDi3BYs8E3cxgWVon9dcw3cXlfp1kU4JHIMTUAUuuAR1cAsaoAUIeAIv4BW8Wc/Wu/Vhfc5aV6xi5gjMlfX9C/SKpJA=</latexit> <latexit sha1_base64="TqxrqPDuqMYLBan5+F+1Z9+nc4A=">AAACIHicbZDLSgMxFIYzXmu9jbp0EyxCQSgzIuiy6MZlhd6gM5YkzbShycyQZMQyzCv4ED6DW127E5e6803MtLOwrQdCPv7/HE7y45gzpR3ny1pZXVvf2Cxtlbd3dvf27YPDtooSSWiLRDySXYwU5SykLc00p91YUiQwpx08vsn9zgOVikVhU09i6gs0DFnACNJG6ttVL5CIpB4WKcrum/n9mJ3hLPV4m0oNEfRkDlnfrjg1Z1pwGdwCKqCoRt/+8QYRSQQNNeFIqZ7rxNpPkdSMcJqVvUTRGJExGtKewRAJqvx0+qMMnhplAINImhNqOFX/TqRIKDUR2HQKpEdq0cvF/7xeooMrP2VhnGgaktmiIOFQRzCPBw6YpETziQFEJDNvhWSETETahDi3BYs8E3cxgWVon9dcw3cXlfp1kU4JHIMTUAUuuAR1cAsaoAUIeAIv4BW8Wc/Wu/Vhfc5aV6xi5gjMlfX9C/SKpJA=</latexit> <latexit sha1_base64="TqxrqPDuqMYLBan5+F+1Z9+nc4A=">AAACIHicbZDLSgMxFIYzXmu9jbp0EyxCQSgzIuiy6MZlhd6gM5YkzbShycyQZMQyzCv4ED6DW127E5e6803MtLOwrQdCPv7/HE7y45gzpR3ny1pZXVvf2Cxtlbd3dvf27YPDtooSSWiLRDySXYwU5SykLc00p91YUiQwpx08vsn9zgOVikVhU09i6gs0DFnACNJG6ttVL5CIpB4WKcrum/n9mJ3hLPV4m0oNEfRkDlnfrjg1Z1pwGdwCKqCoRt/+8QYRSQQNNeFIqZ7rxNpPkdSMcJqVvUTRGJExGtKewRAJqvx0+qMMnhplAINImhNqOFX/TqRIKDUR2HQKpEdq0cvF/7xeooMrP2VhnGgaktmiIOFQRzCPBw6YpETziQFEJDNvhWSETETahDi3BYs8E3cxgWVon9dcw3cXlfp1kU4JHIMTUAUuuAR1cAsaoAUIeAIv4BW8Wc/Wu/Vhfc5aV6xi5gjMlfX9C/SKpJA=</latexit>
  28. ิ଍2 Ҏ্Ͱ͸3࣍ݩͷ৔߹ʹ͕ࣔͨ͠ɺ͜Ε͸Ұൠͷ࣍ݩͰ੒Γཱͭ aT x + b = 0 <latexit sha1_base64="HMM5EHBzO2EEUJoasCozEeGkGz4=">AAACCnicbZDLSgMxFIYz9VbrbaxLN8EiCEKZEUE3QtGNywq9QTuWTJppQ5PMkGSkZZg38Bnc6tqduPUlXPomZtpZ2NYDIR//fw7n8PsRo0o7zrdVWFvf2Nwqbpd2dvf2D+zDckuFscSkiUMWyo6PFGFUkKammpFOJAniPiNtf3yX+e0nIhUNRUNPI+JxNBQ0oBhpI/Xtcs/nCUofG9k/Sc/9G6dvV5yqMyu4Cm4OFZBXvW//9AYhjjkRGjOkVNd1Iu0lSGqKGUlLvViRCOExGpKuQYE4UV4yuz2Fp0YZwCCU5gkNZ+rfiQRxpabcN50c6ZFa9jLxP68b6+DaS6iIYk0Eni8KYgZ1CLMg4IBKgjWbGkBYUnMrxCMkEdYmroUtPk9NJu5yAqvQuqi6hh8uK7XbPJ0iOAYn4Ay44ArUwD2ogybAYAJewCt4s56td+vD+py3Fqx85ggslPX1C604msA=</latexit>

    <latexit sha1_base64="HMM5EHBzO2EEUJoasCozEeGkGz4=">AAACCnicbZDLSgMxFIYz9VbrbaxLN8EiCEKZEUE3QtGNywq9QTuWTJppQ5PMkGSkZZg38Bnc6tqduPUlXPomZtpZ2NYDIR//fw7n8PsRo0o7zrdVWFvf2Nwqbpd2dvf2D+zDckuFscSkiUMWyo6PFGFUkKammpFOJAniPiNtf3yX+e0nIhUNRUNPI+JxNBQ0oBhpI/Xtcs/nCUofG9k/Sc/9G6dvV5yqMyu4Cm4OFZBXvW//9AYhjjkRGjOkVNd1Iu0lSGqKGUlLvViRCOExGpKuQYE4UV4yuz2Fp0YZwCCU5gkNZ+rfiQRxpabcN50c6ZFa9jLxP68b6+DaS6iIYk0Eni8KYgZ1CLMg4IBKgjWbGkBYUnMrxCMkEdYmroUtPk9NJu5yAqvQuqi6hh8uK7XbPJ0iOAYn4Ay44ArUwD2ogybAYAJewCt4s56td+vD+py3Fqx85ggslPX1C604msA=</latexit> <latexit 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sha1_base64="0oSqTpPKmlt3iuL63aa7qqGE4lM=">AAAB/HicbZDLSgMxFIbP1Futt6pLN8EiuCozIuiy6MZlBXuBdiiZNNPGJplpkhHKUJ/Bra7diVvfxaVvYqadhW39IfDxn3M4J38Qc6aN6347hbX1jc2t4nZpZ3dv/6B8eNTUUaIIbZCIR6odYE05k7RhmOG0HSuKRcBpKxjdZvXWE1WaRfLBTGLqCzyQLGQEG2s1u4FIx9NeueJW3ZnQKng5VCBXvVf+6fYjkggqDeFY647nxsZPsTKMcDotdRNNY0xGeEA7FiUWVPvp7NopOrNOH4WRsk8aNHP/TqRYaD0Rge0U2Az1ci0z/6t1EhNe+ymTcWKoJPNFYcKRiVD2ddRnihLDJxYwUczeisgQK0yMDWhhSyCyTLzlBFaheVH1LN9fVmo3eTpFOIFTOAcPrqAGd1CHBhB4hBd4hTfn2Xl3PpzPeWvByWeOYUHO1y+ccJXg</latexit> <latexit 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sha1_base64="DrRrKTUqzs4Ey2bZG2IApL9Ogu0=">AAACNXicbVBPS8MwHE3nvzn/VT16CQ5BEEYrgl6EoRePE/YP1jrSLN3CkrYmqTBKP40fws/gVU8ePAji1a9g2hV0mw8CL++9H7/keRGjUlnWm1FaWl5ZXSuvVzY2t7Z3zN29tgxjgUkLhywUXQ9JwmhAWooqRrqRIIh7jHS88XXmdx6IkDQMmmoSEZejYUB9ipHSUt+8dHyBcOIwHVLQ8XiC0rtmTu5TeOJBR2ROqhPt34RWs1vaN6tWzcoBF4ldkCoo0OibH84gxDEngcIMSdmzrUi5CRKKYkbSihNLEiE8RkPS0zRAnEg3yb+ZwiOtDKAfCn0CBXP170SCuJQT7ukkR2ok571M/M/rxcq/cBMaRLEiAZ4u8mMGVQizzuCACoIVm2iCsKD6rRCPkO5N6WZntng868Seb2CRtE9rtua3Z9X6VdFOGRyAQ3AMbHAO6uAGNEALYPAInsELeDWejHfj0/iaRktGMbMPZmB8/wCuxq0W</latexit> <latexit sha1_base64="DrRrKTUqzs4Ey2bZG2IApL9Ogu0=">AAACNXicbVBPS8MwHE3nvzn/VT16CQ5BEEYrgl6EoRePE/YP1jrSLN3CkrYmqTBKP40fws/gVU8ePAji1a9g2hV0mw8CL++9H7/keRGjUlnWm1FaWl5ZXSuvVzY2t7Z3zN29tgxjgUkLhywUXQ9JwmhAWooqRrqRIIh7jHS88XXmdx6IkDQMmmoSEZejYUB9ipHSUt+8dHyBcOIwHVLQ8XiC0rtmTu5TeOJBR2ROqhPt34RWs1vaN6tWzcoBF4ldkCoo0OibH84gxDEngcIMSdmzrUi5CRKKYkbSihNLEiE8RkPS0zRAnEg3yb+ZwiOtDKAfCn0CBXP170SCuJQT7ukkR2ok571M/M/rxcq/cBMaRLEiAZ4u8mMGVQizzuCACoIVm2iCsKD6rRCPkO5N6WZntng868Seb2CRtE9rtua3Z9X6VdFOGRyAQ3AMbHAO6uAGNEALYPAInsELeDWejHfj0/iaRktGMbMPZmB8/wCuxq0W</latexit> <latexit 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sha1_base64="V+3HK4QJ1w5uSX14CkYC5pOBkTM=">AAACMXicbVDLSsNAFJ3UV42vqEs3wSK4KkkR1IVQdOOygn1AE8JkctsOnUzCzKRYQr/Fj/Ab3Oq6O3XrTzh9ILb1wlzOPfdc7p0TpoxK5Thjo7C2vrG5Vdw2d3b39g+sw6OGTDJBoE4SlohWiCUwyqGuqGLQSgXgOGTQDPt3k35zAELShD+qYQp+jLucdijBSlOBdY1vTC+ELuV5GmMl6NPIxIHreTpXdPYGUaLktIxMD3j0KwusklN2pmGvAncOSmgetcD69KKEZDFwRRiWsu06qfJzLBQlDEaml0lIMenjLrQ15DgG6efTL47sM81EdicR+nFlT9m/EzmOpRzGoVbq+3pyuTch/+u1M9W58nPK00wBJ7NFnYzZKrEnftkRFUAUG2qAiaD6Vpv0sMBEaVcXtoTxxBN32YFV0KiUXY0fLkrV27k7RXSCTtE5ctElqqJ7VEN1RNAzekVv6N14McbGh/E1kxaM+cwxWgjj+wfpqan+</latexit> <latexit sha1_base64="V+3HK4QJ1w5uSX14CkYC5pOBkTM=">AAACMXicbVDLSsNAFJ3UV42vqEs3wSK4KkkR1IVQdOOygn1AE8JkctsOnUzCzKRYQr/Fj/Ab3Oq6O3XrTzh9ILb1wlzOPfdc7p0TpoxK5Thjo7C2vrG5Vdw2d3b39g+sw6OGTDJBoE4SlohWiCUwyqGuqGLQSgXgOGTQDPt3k35zAELShD+qYQp+jLucdijBSlOBdY1vTC+ELuV5GmMl6NPIxIHreTpXdPYGUaLktIxMD3j0KwusklN2pmGvAncOSmgetcD69KKEZDFwRRiWsu06qfJzLBQlDEaml0lIMenjLrQ15DgG6efTL47sM81EdicR+nFlT9m/EzmOpRzGoVbq+3pyuTch/+u1M9W58nPK00wBJ7NFnYzZKrEnftkRFUAUG2qAiaD6Vpv0sMBEaVcXtoTxxBN32YFV0KiUXY0fLkrV27k7RXSCTtE5ctElqqJ7VEN1RNAzekVv6N14McbGh/E1kxaM+cwxWgjj+wfpqan+</latexit> <latexit sha1_base64="V+3HK4QJ1w5uSX14CkYC5pOBkTM=">AAACMXicbVDLSsNAFJ3UV42vqEs3wSK4KkkR1IVQdOOygn1AE8JkctsOnUzCzKRYQr/Fj/Ab3Oq6O3XrTzh9ILb1wlzOPfdc7p0TpoxK5Thjo7C2vrG5Vdw2d3b39g+sw6OGTDJBoE4SlohWiCUwyqGuqGLQSgXgOGTQDPt3k35zAELShD+qYQp+jLucdijBSlOBdY1vTC+ELuV5GmMl6NPIxIHreTpXdPYGUaLktIxMD3j0KwusklN2pmGvAncOSmgetcD69KKEZDFwRRiWsu06qfJzLBQlDEaml0lIMenjLrQ15DgG6efTL47sM81EdicR+nFlT9m/EzmOpRzGoVbq+3pyuTch/+u1M9W58nPK00wBJ7NFnYzZKrEnftkRFUAUG2qAiaD6Vpv0sMBEaVcXtoTxxBN32YFV0KiUXY0fLkrV27k7RXSCTtE5ctElqqJ7VEN1RNAzekVv6N14McbGh/E1kxaM+cwxWgjj+wfpqan+</latexit> <latexit sha1_base64="V+3HK4QJ1w5uSX14CkYC5pOBkTM=">AAACMXicbVDLSsNAFJ3UV42vqEs3wSK4KkkR1IVQdOOygn1AE8JkctsOnUzCzKRYQr/Fj/Ab3Oq6O3XrTzh9ILb1wlzOPfdc7p0TpoxK5Thjo7C2vrG5Vdw2d3b39g+sw6OGTDJBoE4SlohWiCUwyqGuqGLQSgXgOGTQDPt3k35zAELShD+qYQp+jLucdijBSlOBdY1vTC+ELuV5GmMl6NPIxIHreTpXdPYGUaLktIxMD3j0KwusklN2pmGvAncOSmgetcD69KKEZDFwRRiWsu06qfJzLBQlDEaml0lIMenjLrQ15DgG6efTL47sM81EdicR+nFlT9m/EzmOpRzGoVbq+3pyuTch/+u1M9W58nPK00wBJ7NFnYzZKrEnftkRFUAUG2qAiaD6Vpv0sMBEaVcXtoTxxBN32YFV0KiUXY0fLkrV27k7RXSCTtE5ctElqqJ7VEN1RNAzekVv6N14McbGh/E1kxaM+cwxWgjj+wfpqan+</latexit> x = 0 B B B @ x1 x2 . . . xd 1 C C C A <latexit sha1_base64="R90mHua5eslhVD+xhqI/6l3exHQ=">AAACMXicbVBNS8NAEN3Urxq/oh69BIvgqSRFUA9C0YvHCrYVmlA2m2m7dLMJu5vSEvpb/BH+Bq967k29+ifctEVs68AOb968YWZfkDAqleNMjMLa+sbmVnHb3Nnd2z+wDo8aMk4FgTqJWSyeAiyBUQ51RRWDp0QAjgIGzaB/l/ebAxCSxvxRjRLwI9zltEMJVppqW9fDG9MLoEt5lkRYCTocm8O263k6V3T2BmGs5LQMTQ94+CtrWyWn7EzDXgXuHJTQPGpt69MLY5JGwBVhWMqW6yTKz7BQlDAYm14qIcGkj7vQ0pDjCKSfTb84ts80E9qdWOjHlT1l/05kOJJyFAVaqe/ryeVeTv7Xa6Wqc+VnlCepAk5mizops1Vs537ZIRVAFBtpgImg+lab9LDARGlXF7YEUe6Ju+zAKmhUyq7GDxel6u3cnSI6QafoHLnoElXRPaqhOiLoGb2iN/RuvBgT48P4mkkLxnzmGC2E8f0DhyCqWg==</latexit> <latexit sha1_base64="R90mHua5eslhVD+xhqI/6l3exHQ=">AAACMXicbVBNS8NAEN3Urxq/oh69BIvgqSRFUA9C0YvHCrYVmlA2m2m7dLMJu5vSEvpb/BH+Bq967k29+ifctEVs68AOb968YWZfkDAqleNMjMLa+sbmVnHb3Nnd2z+wDo8aMk4FgTqJWSyeAiyBUQ51RRWDp0QAjgIGzaB/l/ebAxCSxvxRjRLwI9zltEMJVppqW9fDG9MLoEt5lkRYCTocm8O263k6V3T2BmGs5LQMTQ94+CtrWyWn7EzDXgXuHJTQPGpt69MLY5JGwBVhWMqW6yTKz7BQlDAYm14qIcGkj7vQ0pDjCKSfTb84ts80E9qdWOjHlT1l/05kOJJyFAVaqe/ryeVeTv7Xa6Wqc+VnlCepAk5mizops1Vs537ZIRVAFBtpgImg+lab9LDARGlXF7YEUe6Ju+zAKmhUyq7GDxel6u3cnSI6QafoHLnoElXRPaqhOiLoGb2iN/RuvBgT48P4mkkLxnzmGC2E8f0DhyCqWg==</latexit> <latexit sha1_base64="R90mHua5eslhVD+xhqI/6l3exHQ=">AAACMXicbVBNS8NAEN3Urxq/oh69BIvgqSRFUA9C0YvHCrYVmlA2m2m7dLMJu5vSEvpb/BH+Bq967k29+ifctEVs68AOb968YWZfkDAqleNMjMLa+sbmVnHb3Nnd2z+wDo8aMk4FgTqJWSyeAiyBUQ51RRWDp0QAjgIGzaB/l/ebAxCSxvxRjRLwI9zltEMJVppqW9fDG9MLoEt5lkRYCTocm8O263k6V3T2BmGs5LQMTQ94+CtrWyWn7EzDXgXuHJTQPGpt69MLY5JGwBVhWMqW6yTKz7BQlDAYm14qIcGkj7vQ0pDjCKSfTb84ts80E9qdWOjHlT1l/05kOJJyFAVaqe/ryeVeTv7Xa6Wqc+VnlCepAk5mizops1Vs537ZIRVAFBtpgImg+lab9LDARGlXF7YEUe6Ju+zAKmhUyq7GDxel6u3cnSI6QafoHLnoElXRPaqhOiLoGb2iN/RuvBgT48P4mkkLxnzmGC2E8f0DhyCqWg==</latexit> <latexit 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  29. ଟ࣍ݩͷ৔߹ • ڑ཭ͷެࣜ͸Ұൠ࣍ݩͰ΋੒Γཱͭ • ͱ͍͏Α͏ʹɺ2࣍ݩ·ͨ͸3࣍ݩͷ৔߹ʹ௚ײతͳཧղ Λͯ͠ɺͦΕ͕ଟ࣍ݩͰ΋੒Γཱͭͱ͍͏ٞ࿦Λ͍ͯ͘͠ • ॻ੶தͰ͸ʮҰൠͷ৔߹Ͱ΋ʙͱ͍͏͜ͱ͕஌ΒΕ͍ͯ· ͢ʯͱ͍͏ॻ͖ํɹˠ৴͡Α͏ʂ

  30. ඍ෼ x <latexit sha1_base64="PEl+uLprXdRtMgMSVACkfin0Kps=">AAAB6HicbZC7SwNBEMbnfMbzFbW0WQyCVbiz0UYM2lgmYB6QhLC3mUvW7O0du3tiOAL2NhaK2PrP2Nv537h5FJr4wcKP75thZyZIBNfG876dpeWV1bX13Ia7ubW9s5vf26/pOFUMqywWsWoEVKPgEquGG4GNRCGNAoH1YHA9zuv3qDSP5a0ZJtiOaE/ykDNqrFV56OQLXtGbiCyCP4PC5ad78QgA5U7+q9WNWRqhNExQrZu+l5h2RpXhTODIbaUaE8oGtIdNi5JGqNvZZNARObZOl4Sxsk8aMnF/d2Q00noYBbYyoqav57Ox+V/WTE143s64TFKDkk0/ClNBTEzGW5MuV8iMGFqgTHE7K2F9qigz9jauPYI/v/Ii1E6LvuWKVyhdwVQ5OIQjOAEfzqAEN1CGKjBAeIIXeHXunGfnzXmfli45s54D+CPn4wdUQo7F</latexit> <latexit sha1_base64="/soUlXEvC7B0o0wHtYOcQkUOTBE=">AAAB6HicbZC7SgNBFIbPxltcb1FLm8UgWIVdG23EoI1lAuYCyRJmJ2eTMbOzy8ysGJY8gY2FIrb6MPY24ts4uRSa+MPAx/+fw5xzgoQzpV3328otLa+sruXX7Y3Nre2dwu5eXcWppFijMY9lMyAKORNY00xzbCYSSRRwbASDq3HeuEOpWCxu9DBBPyI9wUJGiTZW9b5TKLoldyJnEbwZFC8+7PPk/cuudAqf7W5M0wiFppwo1fLcRPsZkZpRjiO7nSpMCB2QHrYMChKh8rPJoCPnyDhdJ4yleUI7E/d3R0YipYZRYCojovtqPhub/2WtVIdnfsZEkmoUdPpRmHJHx854a6fLJFLNhwYIlczM6tA+kYRqcxvbHMGbX3kR6iclz3DVLZYvYao8HMAhHIMHp1CGa6hADSggPMATPFu31qP1Yr1OS3PWrGcf/sh6+wFF0ZA5</latexit> <latexit sha1_base64="/soUlXEvC7B0o0wHtYOcQkUOTBE=">AAAB6HicbZC7SgNBFIbPxltcb1FLm8UgWIVdG23EoI1lAuYCyRJmJ2eTMbOzy8ysGJY8gY2FIrb6MPY24ts4uRSa+MPAx/+fw5xzgoQzpV3328otLa+sruXX7Y3Nre2dwu5eXcWppFijMY9lMyAKORNY00xzbCYSSRRwbASDq3HeuEOpWCxu9DBBPyI9wUJGiTZW9b5TKLoldyJnEbwZFC8+7PPk/cuudAqf7W5M0wiFppwo1fLcRPsZkZpRjiO7nSpMCB2QHrYMChKh8rPJoCPnyDhdJ4yleUI7E/d3R0YipYZRYCojovtqPhub/2WtVIdnfsZEkmoUdPpRmHJHx854a6fLJFLNhwYIlczM6tA+kYRqcxvbHMGbX3kR6iclz3DVLZYvYao8HMAhHIMHp1CGa6hADSggPMATPFu31qP1Yr1OS3PWrGcf/sh6+wFF0ZA5</latexit> <latexit sha1_base64="zb04gqWNgvH7Rt1cQ1jPDCyile0=">AAAB6HicbZA9TwJBEIbn8AvxC7W02UhMrMidjZREG0tI5COBC9lb5mBlb++yu2ckF36BjYXG2PqT7Pw3LnCFgm+yyZN3ZrIzb5AIro3rfjuFjc2t7Z3ibmlv/+DwqHx80tZxqhi2WCxi1Q2oRsEltgw3AruJQhoFAjvB5HZe7zyi0jyW92aaoB/RkeQhZ9RYq/k0KFfcqrsQWQcvhwrkagzKX/1hzNIIpWGCat3z3MT4GVWGM4GzUj/VmFA2oSPsWZQ0Qu1ni0Vn5MI6QxLGyj5pyML9PZHRSOtpFNjOiJqxXq3Nzf9qvdSENT/jMkkNSrb8KEwFMTGZX02GXCEzYmqBMsXtroSNqaLM2GxKNgRv9eR1aF9VPctNt1K/yeMowhmcwyV4cA11uIMGtIABwjO8wpvz4Lw4787HsrXg5DOn8EfO5w/k+4z4</latexit>

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sha1_base64="qTgnIS+7mWYVgMtScwoTZ1vad4Y=">AAAB7nicbZA9SwNBEIbn/IzxK2ppsxjE2IQ7G22EoI1lBPMByRH2NnPJkr29Y3dPDEd+hI2FIrb+Hjv/jZvkCk18YeHhnRl25g0SwbVx3W9nZXVtfWOzsFXc3tnd2y8dHDZ1nCqGDRaLWLUDqlFwiQ3DjcB2opBGgcBWMLqd1luPqDSP5YMZJ+hHdCB5yBk11mqFZ5Wn82u3Vyq7VXcmsgxeDmXIVe+Vvrr9mKURSsME1brjuYnxM6oMZwInxW6qMaFsRAfYsShphNrPZutOyKl1+iSMlX3SkJn7eyKjkdbjKLCdETVDvVibmv/VOqkJr/yMyyQ1KNn8ozAVxMRkejvpc4XMiLEFyhS3uxI2pIoyYxMq2hC8xZOXoXlR9Szfu+XaTR5HAY7hBCrgwSXU4A7q0AAGI3iGV3hzEufFeXc+5q0rTj5zBH/kfP4AvgiOfw==</latexit> Λղ͚͹ۃ஋ʢۃେ஋orۃখ஋ʣΛٻΊΒΕΔʢ͔΋͠Εͳ͍ʣ x + h <latexit sha1_base64="n9L7Zf+BFTgXbfOO04PsBnsrmbM=">AAAB6nicbZDLSgMxFIbP1Ftbb1WXboJFEIQy40aXRTcuK9oLtEPNpJk2NJMZkjNiGfoIblwoxa1P5M63Mb0stPWHwMd/ziHn/EEihUHX/XZya+sbm1v5QnF7Z3dvv3Rw2DBxqhmvs1jGuhVQw6VQvI4CJW8lmtMokLwZDG+m9eYT10bE6gFHCfcj2lciFIyite6fzwfdUtmtuDORVfAWUK4WkskjANS6pa9OL2ZpxBUySY1pe26CfkY1Cib5uNhJDU8oG9I+b1tUNOLGz2arjsmpdXokjLV9CsnM/T2R0ciYURTYzojiwCzXpuZ/tXaK4ZWfCZWkyBWbfxSmkmBMpneTntCcoRxZoEwLuythA6opQ5tO0YbgLZ+8Co2Limf5zqZxDXPl4RhO4Aw8uIQq3EIN6sCgDy/wBu+OdF6difMxb805i5kj+CPn8wdYrI9R</latexit> <latexit sha1_base64="0B1f8WpnyC23Pg3aZ+MLF6U01rA=">AAAB6nicbZC7SgNBFIbPek3iLWppMxgEQQi7NloGbSwjmgsmS5idzCZDZmeXmbOSEPIINhZKsLX3Xex8Gp1cCk38YeDjP+cw5/xBIoVB1/1yVlbX1jc2M9nc1vbO7l5+/6Bq4lQzXmGxjHU9oIZLoXgFBUpeTzSnUSB5LehdT+q1R66NiNU9DhLuR7SjRCgYRWvd9c+6rXzBLbpTkWXw5lAoZZPxw0f/u9zKfzbbMUsjrpBJakzDcxP0h1SjYJKPcs3U8ISyHu3whkVFI2784XTVETmxTpuEsbZPIZm6vyeGNDJmEAW2M6LYNYu1iflfrZFieOkPhUpS5IrNPgpTSTAmk7tJW2jOUA4sUKaF3ZWwLtWUoU0nZ0PwFk9ehup50bN8a9O4gpkycATHcAoeXEAJbqAMFWDQgSd4gVdHOs/O2Hmbta4485lD+CPn/QcvPZFx</latexit> <latexit sha1_base64="0B1f8WpnyC23Pg3aZ+MLF6U01rA=">AAAB6nicbZC7SgNBFIbPek3iLWppMxgEQQi7NloGbSwjmgsmS5idzCZDZmeXmbOSEPIINhZKsLX3Xex8Gp1cCk38YeDjP+cw5/xBIoVB1/1yVlbX1jc2M9nc1vbO7l5+/6Bq4lQzXmGxjHU9oIZLoXgFBUpeTzSnUSB5LehdT+q1R66NiNU9DhLuR7SjRCgYRWvd9c+6rXzBLbpTkWXw5lAoZZPxw0f/u9zKfzbbMUsjrpBJakzDcxP0h1SjYJKPcs3U8ISyHu3whkVFI2784XTVETmxTpuEsbZPIZm6vyeGNDJmEAW2M6LYNYu1iflfrZFieOkPhUpS5IrNPgpTSTAmk7tJW2jOUA4sUKaF3ZWwLtWUoU0nZ0PwFk9ehup50bN8a9O4gpkycATHcAoeXEAJbqAMFWDQgSd4gVdHOs/O2Hmbta4485lD+CPn/QcvPZFx</latexit> <latexit sha1_base64="5huoM78eKumjjRIUvpUTFq5Gs5Y=">AAAB6nicbZBNS8NAEIYn9avWr6pHL4tFEISSeKnHohePFe0HtKFstpN26WYTdjdiCf0JXjwo4tVf5M1/47bNQVtfWHh4Z4adeYNEcG1c99sprK1vbG4Vt0s7u3v7B+XDo5aOU8WwyWIRq05ANQousWm4EdhJFNIoENgOxjezevsRleaxfDCTBP2IDiUPOaPGWvdPF6N+ueJW3bnIKng5VCBXo1/+6g1ilkYoDRNU667nJsbPqDKcCZyWeqnGhLIxHWLXoqQRaj+brzolZ9YZkDBW9klD5u7viYxGWk+iwHZG1Iz0cm1m/lfrpia88jMuk9SgZIuPwlQQE5PZ3WTAFTIjJhYoU9zuStiIKsqMTadkQ/CWT16F1mXVs3znVurXeRxFOIFTOAcPalCHW2hAExgM4Rle4c0Rzovz7nwsWgtOPnMMf+R8/gAOyo2f</latexit> df dx (x) <latexit 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sha1_base64="/zhiinwp2bBmjgpaCIXjAqapJ0k=">AAAB+XicbZDLSsNAFIZP6q3WW9SFiJtgEeqmJG7ssujGZQV7gTaUyWTSDp1MwsyktIS8iRsXirj1RcSdbtz6GE4vC239YeDjP+dwzvxezKhUtv1h5FZW19Y38puFre2d3T1z/6Aho0RgUscRi0TLQ5IwykldUcVIKxYEhR4jTW9wPak3h0RIGvE7NY6JG6IepwHFSGmra5qdQCCc+kGW+qOsNDrvmkW7bE9lLYMzh2K18vV29Pl9XOua7x0/wklIuMIMSdl27Fi5KRKKYkayQieRJEZ4gHqkrZGjkEg3nV6eWWfa8a0gEvpxZU3d3xMpCqUch57uDJHqy8XaxPyv1k5UUHFTyuNEEY5ni4KEWSqyJjFYPhUEKzbWgLCg+lYL95GOQumwCjoEZ/HLy9C4KDuab3UaVzBTHk7gFErgwCVU4QZqUAcMQ7iHR3gyUuPBeDZeZq05Yz5zCH9kvP4AIlGXtw==</latexit> <latexit sha1_base64="/zhiinwp2bBmjgpaCIXjAqapJ0k=">AAAB+XicbZDLSsNAFIZP6q3WW9SFiJtgEeqmJG7ssujGZQV7gTaUyWTSDp1MwsyktIS8iRsXirj1RcSdbtz6GE4vC239YeDjP+dwzvxezKhUtv1h5FZW19Y38puFre2d3T1z/6Aho0RgUscRi0TLQ5IwykldUcVIKxYEhR4jTW9wPak3h0RIGvE7NY6JG6IepwHFSGmra5qdQCCc+kGW+qOsNDrvmkW7bE9lLYMzh2K18vV29Pl9XOua7x0/wklIuMIMSdl27Fi5KRKKYkayQieRJEZ4gHqkrZGjkEg3nV6eWWfa8a0gEvpxZU3d3xMpCqUch57uDJHqy8XaxPyv1k5UUHFTyuNEEY5ni4KEWSqyJjFYPhUEKzbWgLCg+lYL95GOQumwCjoEZ/HLy9C4KDuab3UaVzBTHk7gFErgwCVU4QZqUAcMQ7iHR3gyUuPBeDZeZq05Yz5zCH9kvP4AIlGXtw==</latexit> <latexit sha1_base64="7jfeONZ8Fcza2gH7AwTnH5711cw=">AAAB+XicbZC7TsMwFIZPyq2UW4CRxaJCKkuVsJSxgoWxSPQitVHlOE5r1XEi26laRXkTFgYQYuVN2Hgb3DYDtPySpU//OUfn+PcTzpR2nG+rtLW9s7tX3q8cHB4dn9inZx0Vp5LQNol5LHs+VpQzQduaaU57iaQ48jnt+pP7Rb07pVKxWDzpeUK9CI8ECxnB2lhD2x6EEpMsCPMsmOW12fXQrjp1Zym0CW4BVSjUGtpfgyAmaUSFJhwr1XedRHsZlpoRTvPKIFU0wWSCR7RvUOCIKi9bXp6jK+MEKIyleUKjpft7IsORUvPIN50R1mO1XluY/9X6qQ5vvYyJJNVUkNWiMOVIx2gRAwqYpETzuQFMJDO3IjLGJgptwqqYENz1L29C56buGn50qs27Io4yXMAl1MCFBjThAVrQBgJTeIZXeLMy68V6tz5WrSWrmDmHP7I+fwCfHpOe</latexit> ·ͨ͸
  31. (f(x) + g(x))0 = f0(x) + g0(x) (kf(x))0 = kf0(x)

    (f(x)g(x))0 = f0(x)g(x) + f(x)g0(x) (xn)0 = nxn 1 <latexit sha1_base64="v2A8WjmdhF4yb8Koqa2ouC/k9wg=">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</latexit> <latexit sha1_base64="v2A8WjmdhF4yb8Koqa2ouC/k9wg=">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</latexit> <latexit sha1_base64="v2A8WjmdhF4yb8Koqa2ouC/k9wg=">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</latexit> <latexit sha1_base64="v2A8WjmdhF4yb8Koqa2ouC/k9wg=">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</latexit> x5 + 3x3 4x2 0 = x5 0 + 3 x3 0 4 x2 0 = 5x4 + 3 ⇥ 3x2 4 ⇥ 2x = 5x4 + 9x2 8x <latexit sha1_base64="VdBVctCD+AZR5U1nYJvNrSKSI+U=">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</latexit> <latexit sha1_base64="VdBVctCD+AZR5U1nYJvNrSKSI+U=">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</latexit> <latexit sha1_base64="VdBVctCD+AZR5U1nYJvNrSKSI+U=">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</latexit> <latexit sha1_base64="VdBVctCD+AZR5U1nYJvNrSKSI+U=">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</latexit> ॏཁެࣜ ܭࢉྫ
  32. ภඍ෼ f(x1, x2, . . . , xn) <latexit sha1_base64="8rqCZP6ZEBcqPaAjcv1l5qvT46Y=">AAAB/nicbZDLSsNAFIZP6q3WW1RcuQktQsVSkm50WXTjsoK9QBPCZDpph04mYWYiLaHgo+jGhSJufQ53vo3Ty0Jbfxj4+M85nDN/kDAqlW1/G7m19Y3Nrfx2YWd3b//APDxqyTgVmDRxzGLRCZAkjHLSVFQx0kkEQVHASDsY3kzr7QciJI35vRonxItQn9OQYqS05ZsnYXnkO5WRX6u4rBcrqZGf+2bJrtozWavgLKBUL7oXTwDQ8M0vtxfjNCJcYYak7Dp2orwMCUUxI5OCm0qSIDxEfdLVyFFEpJfNzp9YZ9rpWWEs9OPKmrm/JzIUSTmOAt0ZITWQy7Wp+V+tm6rwyssoT1JFOJ4vClNmqdiaZmH1qCBYsbEGhAXVt1p4gATCSidW0CE4y19ehVat6mi+02lcw1x5OIUilMGBS6jDLTSgCRgyeIZXeDMejRfj3fiYt+aMxcwx/JHx+QObrZYV</latexit>

    <latexit sha1_base64="HIJM1yxuMYM13umGdVqtNkwzBkQ=">AAAB/nicbZDLSsNAFIYn9VbrLSqu3AwtQsVSkm50WXTjsoK9QBPCZDJph04mYWYiDaHgQ/gCblwo4tbncNe3cXpZaPWHgY//nMM58/sJo1JZ1tQorK1vbG4Vt0s7u3v7B+bhUUfGqcCkjWMWi56PJGGUk7aiipFeIgiKfEa6/uhmVu8+ECFpzO9VlhA3QgNOQ4qR0pZnnoTVsWfXxl6j5rAgVlIjP/fMilW35oJ/wV5CpVl2Lp6mzazlmV9OEOM0IlxhhqTs21ai3BwJRTEjk5KTSpIgPEID0tfIUUSkm8/Pn8Az7QQwjIV+XMG5+3MiR5GUWeTrzgipoVytzcz/av1UhVduTnmSKsLxYlGYMqhiOMsCBlQQrFimAWFB9a0QD5FAWOnESjoEe/XLf6HTqNua73Qa12ChIjgFZVAFNrgETXALWqANMMjBM3gFb8aj8WK8Gx+L1oKxnDkGv2R8fgOlF5eb</latexit> <latexit sha1_base64="HIJM1yxuMYM13umGdVqtNkwzBkQ=">AAAB/nicbZDLSsNAFIYn9VbrLSqu3AwtQsVSkm50WXTjsoK9QBPCZDJph04mYWYiDaHgQ/gCblwo4tbncNe3cXpZaPWHgY//nMM58/sJo1JZ1tQorK1vbG4Vt0s7u3v7B+bhUUfGqcCkjWMWi56PJGGUk7aiipFeIgiKfEa6/uhmVu8+ECFpzO9VlhA3QgNOQ4qR0pZnnoTVsWfXxl6j5rAgVlIjP/fMilW35oJ/wV5CpVl2Lp6mzazlmV9OEOM0IlxhhqTs21ai3BwJRTEjk5KTSpIgPEID0tfIUUSkm8/Pn8Az7QQwjIV+XMG5+3MiR5GUWeTrzgipoVytzcz/av1UhVduTnmSKsLxYlGYMqhiOMsCBlQQrFimAWFB9a0QD5FAWOnESjoEe/XLf6HTqNua73Qa12ChIjgFZVAFNrgETXALWqANMMjBM3gFb8aj8WK8Gx+L1oKxnDkGv2R8fgOlF5eb</latexit> <latexit sha1_base64="KgOcFDJRysl1jVJtNCTz1Yp5MOw=">AAAB/nicbZDLSsNAFIYnXmu9RcWVm8EiVCgl6UaXRTcuK9gLtCFMppN26GQSZk6kJRR8FTcuFHHrc7jzbZy2WWjrDwMf/zmHc+YPEsE1OM63tba+sbm1Xdgp7u7tHxzaR8ctHaeKsiaNRaw6AdFMcMmawEGwTqIYiQLB2sHodlZvPzKleSwfYJIwLyIDyUNOCRjLt0/D8th3K2O/VumJfgzaoLz07ZJTdebCq+DmUEK5Gr791evHNI2YBCqI1l3XScDLiAJOBZsWe6lmCaEjMmBdg5JETHvZ/PwpvjBOH4exMk8Cnru/JzISaT2JAtMZERjq5drM/K/WTSG89jIukxSYpItFYSowxHiWBe5zxSiIiQFCFTe3YjokilAwiRVNCO7yl1ehVau6hu+dUv0mj6OAztA5KiMXXaE6ukMN1EQUZegZvaI368l6sd6tj0XrmpXPnKA/sj5/AIkulIw=</latexit> xi <latexit sha1_base64="NMjPkaUHU7F0iA+Cy75ZeZeohSA=">AAAB6nicbZC7SgNBFIbPxluMt6hgYzMYBKuwa6Nl0MYyQXOBZImzk7PJkNnZZWZWDEsewcZCEVufyM7GZ3FyKTTxh4GP/5zDnPMHieDauO6Xk1tZXVvfyG8WtrZ3dveK+wcNHaeKYZ3FIlatgGoUXGLdcCOwlSikUSCwGQyvJ/XmAyrNY3lnRgn6Ee1LHnJGjbVuH7u8Wyy5ZXcqsgzeHEqVo9r3PQBUu8XPTi9maYTSMEG1bntuYvyMKsOZwHGhk2pMKBvSPrYtShqh9rPpqmNyap0eCWNlnzRk6v6eyGik9SgKbGdEzUAv1ibmf7V2asJLP+MySQ1KNvsoTAUxMZncTXpcITNiZIEyxe2uhA2ooszYdAo2BG/x5GVonJc9yzWbxhXMlIdjOIEz8OACKnADVagDgz48wQu8OsJ5dt6c91lrzpnPHMIfOR8/7eqPuQ==</latexit> <latexit sha1_base64="ACkR23ag2e52OsMJU+NT7B1ozDw=">AAAB6nicbZC7SgNBFIbPxluMt6hgYzMYBKuwa6NliI1lguYCSQizk7PJkNnZZWZWDEsewcZCEVtb38InsLPxWZxcCk38YeDjP+cw5/x+LLg2rvvlZFZW19Y3spu5re2d3b38/kFdR4liWGORiFTTpxoFl1gz3Ahsxgpp6Ats+MOrSb1xh0rzSN6aUYydkPYlDzijxlo3913ezRfcojsVWQZvDoXSUfWbv5c/Kt38Z7sXsSREaZigWrc8NzadlCrDmcBxrp1ojCkb0j62LEoaou6k01XH5NQ6PRJEyj5pyNT9PZHSUOtR6NvOkJqBXqxNzP9qrcQEl52UyzgxKNnsoyARxERkcjfpcYXMiJEFyhS3uxI2oIoyY9PJ2RC8xZOXoX5e9CxXbRplmCkLx3ACZ+DBBZTgGipQAwZ9eIAneHaE8+i8OK+z1owznzmEP3LefgA/OpF1</latexit> <latexit 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sha1_base64="OUNp3RlaSerf75yoPZY4PdrPiTI=">AAAB6nicbZBNT8JAEIan+IX4hXr0spGYeCKtFz0SvXjEaIEEGrJdtrBhu212p0bS8BO8eNAYr/4ib/4bF+hBwTfZ5Mk7M9mZN0ylMOi6305pbX1jc6u8XdnZ3ds/qB4etUySacZ9lshEd0JquBSK+yhQ8k6qOY1Dydvh+GZWbz9ybUSiHnCS8iCmQyUiwSha6/6pL/rVmlt35yKr4BVQg0LNfvWrN0hYFnOFTFJjup6bYpBTjYJJPq30MsNTysZ0yLsWFY25CfL5qlNyZp0BiRJtn0Iyd39P5DQ2ZhKHtjOmODLLtZn5X62bYXQV5EKlGXLFFh9FmSSYkNndZCA0ZygnFijTwu5K2IhqytCmU7EheMsnr0Lrou5ZvnNrjesijjKcwCmcgweX0IBbaIIPDIbwDK/w5kjnxXl3PhatJaeYOYY/cj5/AF9SjdQ=</latexit> ͱॻ͘ f(x, y) = x2 + xy + y3 + 3y <latexit 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sha1_base64="5dn85xRoxIiOcC7bjxyT3736lb4=">AAACDXicbZBNS8MwGMfT+TbnW9Wjl+AUBGG0Q9CLMPTicYJ7gbWMNEu3sDQtSSorpV/Ai1/FiwdFvHr35rcx3Qrq5h8CP/7P8yR5/l7EqFSW9WWUlpZXVtfK65WNza3tHXN3ry3DWGDSwiELRddDkjDKSUtRxUg3EgQFHiMdb3yd1zv3REga8juVRMQN0JBTn2KktNU3jxxfIJw6ERKKIgb97IcnGbyE9clp0jerVs2aCi6CXUAVFGr2zU9nEOI4IFxhhqTs2Vak3DS/FzOSVZxYkgjhMRqSnkaOAiLddLpNBo+1M4B+KPThCk7d3xMpCqRMAk93BkiN5HwtN/+r9WLlX7gp5VGsCMezh/yYQRXCPBo4oIJgxRINCAuq/wrxCOl4lA6wokOw51dehHa9Zmu+Pas2roo4yuAAHIITYINz0AA3oAlaAIMH8ARewKvxaDwbb8b7rLVkFDP74I+Mj2/+Kpt2</latexit> @f @y = x + 3y2 + 3 <latexit 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sha1_base64="TUX4kB7/rNi+/s6kKHxUBUURYYM=">AAACEXicbZBNS8MwGMdTX+d8q3r0EhzCYDDaTdCLMPTicYJ7ga2ONEu3sDQtSSqW0q/gxa/ixYMiXr1589uYbgV18w+BH//neZI8fzdkVCrL+jKWlldW19YLG8XNre2dXXNvvy2DSGDSwgELRNdFkjDKSUtRxUg3FAT5LiMdd3KZ1Tt3REga8BsVh8Tx0YhTj2KktDUwy31PIJz0QyQURQx66Q/HKTyH95V6fFur1AdmyapaU8FFsHMogVzNgfnZHwY48glXmCEpe7YVKifJ7saMpMV+JEmI8ASNSE8jRz6RTjLdKIXH2hlCLxD6cAWn7u+JBPlSxr6rO32kxnK+lpn/1XqR8s6chPIwUoTj2UNexKAKYBYPHFJBsGKxBoQF1X+FeIx0REqHWNQh2PMrL0K7VrU1X5+UGhd5HAVwCI5AGdjgFDTAFWiCFsDgATyBF/BqPBrPxpvxPmtdMvKZA/BHxsc3Nsycjg==</latexit> <latexit sha1_base64="TUX4kB7/rNi+/s6kKHxUBUURYYM=">AAACEXicbZBNS8MwGMdTX+d8q3r0EhzCYDDaTdCLMPTicYJ7ga2ONEu3sDQtSSqW0q/gxa/ixYMiXr1589uYbgV18w+BH//neZI8fzdkVCrL+jKWlldW19YLG8XNre2dXXNvvy2DSGDSwgELRNdFkjDKSUtRxUg3FAT5LiMdd3KZ1Tt3REga8BsVh8Tx0YhTj2KktDUwy31PIJz0QyQURQx66Q/HKTyH95V6fFur1AdmyapaU8FFsHMogVzNgfnZHwY48glXmCEpe7YVKifJ7saMpMV+JEmI8ASNSE8jRz6RTjLdKIXH2hlCLxD6cAWn7u+JBPlSxr6rO32kxnK+lpn/1XqR8s6chPIwUoTj2UNexKAKYBYPHFJBsGKxBoQF1X+FeIx0REqHWNQh2PMrL0K7VrU1X5+UGhd5HAVwCI5AGdjgFDTAFWiCFsDgATyBF/BqPBrPxpvxPmtdMvKZA/BHxsc3Nsycjg==</latexit> <latexit sha1_base64="TUX4kB7/rNi+/s6kKHxUBUURYYM=">AAACEXicbZBNS8MwGMdTX+d8q3r0EhzCYDDaTdCLMPTicYJ7ga2ONEu3sDQtSSqW0q/gxa/ixYMiXr1589uYbgV18w+BH//neZI8fzdkVCrL+jKWlldW19YLG8XNre2dXXNvvy2DSGDSwgELRNdFkjDKSUtRxUg3FAT5LiMdd3KZ1Tt3REga8BsVh8Tx0YhTj2KktDUwy31PIJz0QyQURQx66Q/HKTyH95V6fFur1AdmyapaU8FFsHMogVzNgfnZHwY48glXmCEpe7YVKifJ7saMpMV+JEmI8ASNSE8jRz6RTjLdKIXH2hlCLxD6cAWn7u+JBPlSxr6rO32kxnK+lpn/1XqR8s6chPIwUoTj2UNexKAKYBYPHFJBsGKxBoQF1X+FeIx0REqHWNQh2PMrL0K7VrU1X5+UGhd5HAVwCI5AGdjgFDTAFWiCFsDgATyBF/BqPBrPxpvxPmtdMvKZA/BHxsc3Nsycjg==</latexit> ܭࢉྫɿ ͷͱ͖
  33. ޯ഑ rf = 0 B B B B @ @f

    @x1 @f @x2 . . . @f @xn 1 C C C C A <latexit sha1_base64="hC1lFOa7kcTq/yfZde0vM408z4g=">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</latexit> <latexit sha1_base64="LJSyuN+lgRu5CL2m4nWlo9jmyBc=">AAACfnichVFNT+MwEHWyfIavwh65GCoQAgEJF7igRcuFI0gUkJqqmjiTYtVxLNtBVFF/xv6C/THcuaz2t3DBbRHfgpEsPb15M288kyjBjQ3D/57/Y2x8YnJqOpiZnZtfqC0uXZii1AwbrBCFvkrAoOASG5ZbgVdKI+SJwMukezzIX96gNryQ57ansJVDR/KMM7COatf+xBISATSjh0GcYIfLSuVgNb/tB3GmgVWxAm05CJr1X/BtO+rH8deKvaHiJi2s+U4qnRnK9Nm6XauHO+Ew6EcQPYH6r7vgUP39F5y2a/dxWrAyR2mZAGOaUahsqxoYMIGue2lQAetCB5sOSsjRtKrh+vp0zTEpzQrtnrR0yL6uqCA3ppcnTunmuzbvcwPys1yztNlBq+JSlRYlGxllpaC2oINb0JRrZFb0HACmuZuVsmtwe7LuYoFbQvT+yx/Bxd5O5PBZWD/6TUYxRZbJKtkgEdknR+SEnJIGYeTBW/E2vS2f+Ov+tr87kvreU81P8ib8g0f/4caT</latexit> <latexit sha1_base64="LJSyuN+lgRu5CL2m4nWlo9jmyBc=">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</latexit> <latexit sha1_base64="f4YMgJx/+UhxtJVbH1guIFy0GUY=">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</latexit> Λޯ഑ͱݺͿ rf = 0 <latexit sha1_base64="i6wBboO4NG7nVj5mfWggrqQGqKg=">AAAB8XicbZC7SgNBFIbPxluMt6ilFoNBsAq7NtoIQRvLBMwFkyWcncwmQ2Znl5lZISx5CxsLRWx9AZ/Dzs5HcXIpNPGHgY//nMOc8weJ4Nq47peTW1ldW9/Ibxa2tnd294r7Bw0dp4qyOo1FrFoBaia4ZHXDjWCtRDGMAsGawfBmUm8+MKV5LO/MKGF+hH3JQ07RWOu+IzEQSMIrt1ssuWV3KrIM3hxKleOP2jcAVLvFz04vpmnEpKECtW57bmL8DJXhVLBxoZNqliAdYp+1LUqMmPaz6cZjcmqdHgljZZ80ZOr+nsgw0noUBbYzQjPQi7WJ+V+tnZrw0s+4TFLDJJ19FKaCmJhMzic9rhg1YmQBqeJ2V0IHqJAaG1LBhuAtnrwMjfOyZ7lm07iGmfJwBCdwBh5cQAVuoQp1oCDhEZ7hxdHOk/PqvM1ac8585hD+yHn/AZ0Xkmw=</latexit> <latexit sha1_base64="EBcZz4Qhcz2fIBuwKjfgLbxt5lw=">AAAB8XicbZBLSgNBEIZr4ivGV9SlIo1BcBVm3OhGCLpxmYBJxGQINZ2epElPz9DdI4SQpTdw40IRt14g53DnGbyEncdCE39o+Piriq76g0RwbVz3y8ksLa+srmXXcxubW9s7+d29mo5TRVmVxiJWdwFqJrhkVcONYHeJYhgFgtWD3vW4Xn9gSvNY3pp+wvwIO5KHnKKx1n1TYiCQhJduK19wi+5EZBG8GRRKh6PK9+PRqNzKfzbbMU0jJg0VqHXDcxPjD1AZTgUb5pqpZgnSHnZYw6LEiGl/MNl4SE6s0yZhrOyThkzc3xMDjLTuR4HtjNB09XxtbP5Xa6QmvPAHXCapYZJOPwpTQUxMxueTNleMGtG3gFRxuyuhXVRIjQ0pZ0Pw5k9ehNpZ0bNcsWlcwVRZOIBjOAUPzqEEN1CGKlCQ8AQv8Opo59l5c96nrRlnNrMPf+R8/AB7XJPS</latexit> <latexit sha1_base64="EBcZz4Qhcz2fIBuwKjfgLbxt5lw=">AAAB8XicbZBLSgNBEIZr4ivGV9SlIo1BcBVm3OhGCLpxmYBJxGQINZ2epElPz9DdI4SQpTdw40IRt14g53DnGbyEncdCE39o+Piriq76g0RwbVz3y8ksLa+srmXXcxubW9s7+d29mo5TRVmVxiJWdwFqJrhkVcONYHeJYhgFgtWD3vW4Xn9gSvNY3pp+wvwIO5KHnKKx1n1TYiCQhJduK19wi+5EZBG8GRRKh6PK9+PRqNzKfzbbMU0jJg0VqHXDcxPjD1AZTgUb5pqpZgnSHnZYw6LEiGl/MNl4SE6s0yZhrOyThkzc3xMDjLTuR4HtjNB09XxtbP5Xa6QmvPAHXCapYZJOPwpTQUxMxueTNleMGtG3gFRxuyuhXVRIjQ0pZ0Pw5k9ehNpZ0bNcsWlcwVRZOIBjOAUPzqEEN1CGKlCQ8AQv8Opo59l5c96nrRlnNrMPf+R8/AB7XJPS</latexit> <latexit sha1_base64="2jek3adgZlMoxExh2C8HvCm+H1s=">AAAB8XicbZBNS8NAEIYn9avWr6hHL4tF8FQSL3oRil48VrAf2IYy2W7apZtN2N0IJfRfePGgiFf/jTf/jds2B219YeHhnRl25g1TwbXxvG+ntLa+sblV3q7s7O7tH7iHRy2dZIqyJk1Eojohaia4ZE3DjWCdVDGMQ8Ha4fh2Vm8/MaV5Ih/MJGVBjEPJI07RWOuxJzEUSKJrr+9WvZo3F1kFv4AqFGr03a/eIKFZzKShArXu+l5qghyV4VSwaaWXaZYiHeOQdS1KjJkO8vnGU3JmnQGJEmWfNGTu/p7IMdZ6Eoe2M0Yz0su1mflfrZuZ6CrIuUwzwyRdfBRlgpiEzM4nA64YNWJiAanidldCR6iQGhtSxYbgL5+8Cq2Lmm/53qvWb4o4ynACp3AOPlxCHe6gAU2gIOEZXuHN0c6L8+58LFpLTjFzDH/kfP4AjR2QJw==</latexit> ͱ͓͘ͱɺۃ஋ΛٻΊΒΕΔʢ͔΋͠Εͳ͍ʣ
  34. ޯ഑ͷزԿతੑ࣭ f(x, y) (x0, y0) f(x0, y0) = a rf(x0,

    y0) f(x, y) = a ͳΊΒ͔ͳ2ม਺ؔ਺ ʹ͓͍ͯ ͱ͢Δɻ (x0, y0) ఺ ʹ͓͚Δޯ഑ ͸ɺۂઢ ͷ f(x, y) = a ఺ ʹ͓͚Δ઀ઢͱਨ௚Ͱ͋Γɺ͔ͭ f(x, y)͕େ͖͘ ͳΔํ޲Λ޲͍͍ͯΔ rf(x0, y0) f(x, y) খ f(x, y) େ ͜ͷɹɹɹɹɹΛ఺ɹɹɹʹ͓͚Δ๏ઢϕΫτϧͱݺͿ (x0, y0) rf(x0, y0)
  35. ޯ഑߱Լ๏ xk+1 = xk ↵rf(xk) rf(xk) ߋ৽ࣜɿ rf ɹɹͷํ޲ʹগ͠ਐΉͱؔ਺ͷ஋͸ খ͘͞ͳΔͩΖ͏ͱ͍͏ߟ͑ํ

    ྫɿ f(x, y) = 5x2 6xy + 3y2 + 6x 6y Λ࠷খԽ ͜ͷ఺ઢ͕౳ߴઢʢf=Ұఆͷઢʣ ౳ߴઢʹ͍ͭͯߟ͑Δ͜ͱ͕ɺ͜ΕҎ߱ͱͯ΋େࣄʂ
  36. ޯ഑߱Լ๏ͷऩଋ xk+1 = xk ↵rf(xk) ͷ஋ʹΑͬͯৼΔ෣͍͕શ͘ҧ͏ ͋Β͔͡ΊΑ͍ɹ ͷ஋Λ༧ଌ͢Δͷ͸ࠔ೉ͳ͜ͱ΋ଟ͍ɻ ↵ <latexit

    sha1_base64="wWPXnUgNVj89Y1HjmQG8KZKsk7E=">AAAB/HicbZA9SwNBEIbn4leMX1FLm8UgWIU7EbQM2lhGMB+QHGFus5es2ds7dveEcMTfYKu1ndj6Xyz9J26SK0ziCwsP78wws2+QCK6N6347hbX1jc2t4nZpZ3dv/6B8eNTUcaooa9BYxKodoGaCS9Yw3AjWThTDKBCsFYxup/XWE1Oax/LBjBPmRziQPOQUjbWaXRTJEHvlilt1ZyKr4OVQgVz1Xvmn249pGjFpqECtO56bGD9DZTgVbFLqppolSEc4YB2LEiOm/Wx27YScWadPwljZJw2ZuX8nMoy0HkeB7YzQDPVybWr+V+ukJrz2My6T1DBJ54vCVBATk+nXSZ8rRo0YW0CquL2V0CEqpMYGtLAliCY2E285gVVoXlQ9y/eXldpNnk4RTuAUzsGDK6jBHdShARQe4QVe4c15dt6dD+dz3lpw8pljWJDz9QtNlJWu</latexit> <latexit sha1_base64="wWPXnUgNVj89Y1HjmQG8KZKsk7E=">AAAB/HicbZA9SwNBEIbn4leMX1FLm8UgWIU7EbQM2lhGMB+QHGFus5es2ds7dveEcMTfYKu1ndj6Xyz9J26SK0ziCwsP78wws2+QCK6N6347hbX1jc2t4nZpZ3dv/6B8eNTUcaooa9BYxKodoGaCS9Yw3AjWThTDKBCsFYxup/XWE1Oax/LBjBPmRziQPOQUjbWaXRTJEHvlilt1ZyKr4OVQgVz1Xvmn249pGjFpqECtO56bGD9DZTgVbFLqppolSEc4YB2LEiOm/Wx27YScWadPwljZJw2ZuX8nMoy0HkeB7YzQDPVybWr+V+ukJrz2My6T1DBJ54vCVBATk+nXSZ8rRo0YW0CquL2V0CEqpMYGtLAliCY2E285gVVoXlQ9y/eXldpNnk4RTuAUzsGDK6jBHdShARQe4QVe4c15dt6dD+dz3lpw8pljWJDz9QtNlJWu</latexit> <latexit sha1_base64="wWPXnUgNVj89Y1HjmQG8KZKsk7E=">AAAB/HicbZA9SwNBEIbn4leMX1FLm8UgWIU7EbQM2lhGMB+QHGFus5es2ds7dveEcMTfYKu1ndj6Xyz9J26SK0ziCwsP78wws2+QCK6N6347hbX1jc2t4nZpZ3dv/6B8eNTUcaooa9BYxKodoGaCS9Yw3AjWThTDKBCsFYxup/XWE1Oax/LBjBPmRziQPOQUjbWaXRTJEHvlilt1ZyKr4OVQgVz1Xvmn249pGjFpqECtO56bGD9DZTgVbFLqppolSEc4YB2LEiOm/Wx27YScWadPwljZJw2ZuX8nMoy0HkeB7YzQDPVybWr+V+ukJrz2My6T1DBJ54vCVBATk+nXSZ8rRo0YW0CquL2V0CEqpMYGtLAliCY2E285gVVoXlQ9y/eXldpNnk4RTuAUzsGDK6jBHdShARQe4QVe4c15dt6dD+dz3lpw8pljWJDz9QtNlJWu</latexit> <latexit sha1_base64="wWPXnUgNVj89Y1HjmQG8KZKsk7E=">AAAB/HicbZA9SwNBEIbn4leMX1FLm8UgWIU7EbQM2lhGMB+QHGFus5es2ds7dveEcMTfYKu1ndj6Xyz9J26SK0ziCwsP78wws2+QCK6N6347hbX1jc2t4nZpZ3dv/6B8eNTUcaooa9BYxKodoGaCS9Yw3AjWThTDKBCsFYxup/XWE1Oax/LBjBPmRziQPOQUjbWaXRTJEHvlilt1ZyKr4OVQgVz1Xvmn249pGjFpqECtO56bGD9DZTgVbFLqppolSEc4YB2LEiOm/Wx27YScWadPwljZJw2ZuX8nMoy0HkeB7YzQDPVybWr+V+ukJrz2My6T1DBJ54vCVBATk+nXSZ8rRo0YW0CquL2V0CEqpMYGtLAliCY2E285gVVoXlQ9y/eXldpNnk4RTuAUzsGDK6jBHdShARQe4QVe4c15dt6dD+dz3lpw8pljWJDz9QtNlJWu</latexit> ↵ <latexit sha1_base64="wWPXnUgNVj89Y1HjmQG8KZKsk7E=">AAAB/HicbZA9SwNBEIbn4leMX1FLm8UgWIU7EbQM2lhGMB+QHGFus5es2ds7dveEcMTfYKu1ndj6Xyz9J26SK0ziCwsP78wws2+QCK6N6347hbX1jc2t4nZpZ3dv/6B8eNTUcaooa9BYxKodoGaCS9Yw3AjWThTDKBCsFYxup/XWE1Oax/LBjBPmRziQPOQUjbWaXRTJEHvlilt1ZyKr4OVQgVz1Xvmn249pGjFpqECtO56bGD9DZTgVbFLqppolSEc4YB2LEiOm/Wx27YScWadPwljZJw2ZuX8nMoy0HkeB7YzQDPVybWr+V+ukJrz2My6T1DBJ54vCVBATk+nXSZ8rRo0YW0CquL2V0CEqpMYGtLAliCY2E285gVVoXlQ9y/eXldpNnk4RTuAUzsGDK6jBHdShARQe4QVe4c15dt6dD+dz3lpw8pljWJDz9QtNlJWu</latexit> <latexit sha1_base64="wWPXnUgNVj89Y1HjmQG8KZKsk7E=">AAAB/HicbZA9SwNBEIbn4leMX1FLm8UgWIU7EbQM2lhGMB+QHGFus5es2ds7dveEcMTfYKu1ndj6Xyz9J26SK0ziCwsP78wws2+QCK6N6347hbX1jc2t4nZpZ3dv/6B8eNTUcaooa9BYxKodoGaCS9Yw3AjWThTDKBCsFYxup/XWE1Oax/LBjBPmRziQPOQUjbWaXRTJEHvlilt1ZyKr4OVQgVz1Xvmn249pGjFpqECtO56bGD9DZTgVbFLqppolSEc4YB2LEiOm/Wx27YScWadPwljZJw2ZuX8nMoy0HkeB7YzQDPVybWr+V+ukJrz2My6T1DBJ54vCVBATk+nXSZ8rRo0YW0CquL2V0CEqpMYGtLAliCY2E285gVVoXlQ9y/eXldpNnk4RTuAUzsGDK6jBHdShARQe4QVe4c15dt6dD+dz3lpw8pljWJDz9QtNlJWu</latexit> <latexit sha1_base64="wWPXnUgNVj89Y1HjmQG8KZKsk7E=">AAAB/HicbZA9SwNBEIbn4leMX1FLm8UgWIU7EbQM2lhGMB+QHGFus5es2ds7dveEcMTfYKu1ndj6Xyz9J26SK0ziCwsP78wws2+QCK6N6347hbX1jc2t4nZpZ3dv/6B8eNTUcaooa9BYxKodoGaCS9Yw3AjWThTDKBCsFYxup/XWE1Oax/LBjBPmRziQPOQUjbWaXRTJEHvlilt1ZyKr4OVQgVz1Xvmn249pGjFpqECtO56bGD9DZTgVbFLqppolSEc4YB2LEiOm/Wx27YScWadPwljZJw2ZuX8nMoy0HkeB7YzQDPVybWr+V+ukJrz2My6T1DBJ54vCVBATk+nXSZ8rRo0YW0CquL2V0CEqpMYGtLAliCY2E285gVVoXlQ9y/eXldpNnk4RTuAUzsGDK6jBHdShARQe4QVe4c15dt6dD+dz3lpw8pljWJDz9QtNlJWu</latexit> <latexit sha1_base64="wWPXnUgNVj89Y1HjmQG8KZKsk7E=">AAAB/HicbZA9SwNBEIbn4leMX1FLm8UgWIU7EbQM2lhGMB+QHGFus5es2ds7dveEcMTfYKu1ndj6Xyz9J26SK0ziCwsP78wws2+QCK6N6347hbX1jc2t4nZpZ3dv/6B8eNTUcaooa9BYxKodoGaCS9Yw3AjWThTDKBCsFYxup/XWE1Oax/LBjBPmRziQPOQUjbWaXRTJEHvlilt1ZyKr4OVQgVz1Xvmn249pGjFpqECtO56bGD9DZTgVbFLqppolSEc4YB2LEiOm/Wx27YScWadPwljZJw2ZuX8nMoy0HkeB7YzQDPVybWr+V+ukJrz2My6T1DBJ54vCVBATk+nXSZ8rRo0YW0CquL2V0CEqpMYGtLAliCY2E285gVVoXlQ9y/eXldpNnk4RTuAUzsGDK6jBHdShARQe4QVe4c15dt6dD+dz3lpw8pljWJDz9QtNlJWu</latexit> ࣮ݧʹΑܾͬͯఆ͢Δ
  37. ʢͪΐͬͱ୤ઢʣ χϡʔϥϧωοτϫʔΫͷ ΞϧΰϦζϜ ޯ഑߱Լ๏ͷߟ͑ํΛར༻ʢޯ഑߱Լ๏ͦͷ΋ͷͰ͸ͳ͍ʣ ޯ഑߱Լ๏ɿ1ͭͷ໨తؔ਺ͷޯ഑ํ޲ʹਐΉ χϡʔϥϧωοτϫʔΫɿnݸͷ໨తؔ਺Λ1ͭͣͭݟͳ͕ΒͦΕͧΕͷޯ഑ํ޲ʹਐΉ nݸͷ໨తؔ਺ͷྫɿnݸͷը૾͕ਖ਼͘͠෼ྨͰ͖͍ͯΔ͔Λࣔ͢਺஋ i൪໨ͷը૾ͷ෼ྨ༧ଌͱਖ਼͍͠෼ྨͷࠩҟΛ໨తؔ਺ͱ͢Δ ʢॻ੶Ͱ͸શ͘৮Εͳ͔ͬͨ࿩ʣ

  38. vj = f X k w(1) kj xk ! <latexit

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sha1_base64="+QOGexnP/iRJ2OnLeDAijcp4+Z4=">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</latexit> <latexit sha1_base64="+QOGexnP/iRJ2OnLeDAijcp4+Z4=">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</latexit> <latexit sha1_base64="+QOGexnP/iRJ2OnLeDAijcp4+Z4=">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</latexit> '(y) <latexit sha1_base64="uRzlpzBhmFLUuz8LWBKxSqRiyAA=">AAACB3icbZDLSsNAFIZPvNZ6adSlm2AR6qYkIuiy6MZlBXuBJpTJdNoOnZmEmUkhhDyAz+BW1+7ErY/h0jdx2mZhW3848PGfcziHP4wZVdp1v62Nza3tnd3SXnn/4PCoYh+ftFWUSExaOGKR7IZIEUYFaWmqGenGkiAeMtIJJ/ezfmdKpKKReNJpTAKORoIOKUbaWH274k+RjMe05oc8S/PLvl116+5czjp4BVShULNv//iDCCecCI0ZUqrnubEOMiQ1xYzkZT9RJEZ4gkakZ1AgTlSQzR/PnQvjDJxhJE0J7czdvxsZ4kqlPDSTHOmxWu3NzP96vUQPb4OMijjRRODFoWHCHB05sxScAZUEa5YaQFhS86uDx0girE1WS1dCnptMvNUE1qF9VfcMP15XG3dFOiU4g3OogQc30IAHaEILMCTwAq/wZj1b79aH9bkY3bCKnVNYkvX1C6M9mao=</latexit> <latexit sha1_base64="uRzlpzBhmFLUuz8LWBKxSqRiyAA=">AAACB3icbZDLSsNAFIZPvNZ6adSlm2AR6qYkIuiy6MZlBXuBJpTJdNoOnZmEmUkhhDyAz+BW1+7ErY/h0jdx2mZhW3848PGfcziHP4wZVdp1v62Nza3tnd3SXnn/4PCoYh+ftFWUSExaOGKR7IZIEUYFaWmqGenGkiAeMtIJJ/ezfmdKpKKReNJpTAKORoIOKUbaWH274k+RjMe05oc8S/PLvl116+5czjp4BVShULNv//iDCCecCI0ZUqrnubEOMiQ1xYzkZT9RJEZ4gkakZ1AgTlSQzR/PnQvjDJxhJE0J7czdvxsZ4kqlPDSTHOmxWu3NzP96vUQPb4OMijjRRODFoWHCHB05sxScAZUEa5YaQFhS86uDx0girE1WS1dCnptMvNUE1qF9VfcMP15XG3dFOiU4g3OogQc30IAHaEILMCTwAq/wZj1b79aH9bkY3bCKnVNYkvX1C6M9mao=</latexit> <latexit sha1_base64="uRzlpzBhmFLUuz8LWBKxSqRiyAA=">AAACB3icbZDLSsNAFIZPvNZ6adSlm2AR6qYkIuiy6MZlBXuBJpTJdNoOnZmEmUkhhDyAz+BW1+7ErY/h0jdx2mZhW3848PGfcziHP4wZVdp1v62Nza3tnd3SXnn/4PCoYh+ftFWUSExaOGKR7IZIEUYFaWmqGenGkiAeMtIJJ/ezfmdKpKKReNJpTAKORoIOKUbaWH274k+RjMe05oc8S/PLvl116+5czjp4BVShULNv//iDCCecCI0ZUqrnubEOMiQ1xYzkZT9RJEZ4gkakZ1AgTlSQzR/PnQvjDJxhJE0J7czdvxsZ4kqlPDSTHOmxWu3NzP96vUQPb4OMijjRRODFoWHCHB05sxScAZUEa5YaQFhS86uDx0girE1WS1dCnptMvNUE1qF9VfcMP15XG3dFOiU4g3OogQc30IAHaEILMCTwAq/wZj1b79aH9bkY3bCKnVNYkvX1C6M9mao=</latexit> <latexit sha1_base64="uRzlpzBhmFLUuz8LWBKxSqRiyAA=">AAACB3icbZDLSsNAFIZPvNZ6adSlm2AR6qYkIuiy6MZlBXuBJpTJdNoOnZmEmUkhhDyAz+BW1+7ErY/h0jdx2mZhW3848PGfcziHP4wZVdp1v62Nza3tnd3SXnn/4PCoYh+ftFWUSExaOGKR7IZIEUYFaWmqGenGkiAeMtIJJ/ezfmdKpKKReNJpTAKORoIOKUbaWH274k+RjMe05oc8S/PLvl116+5czjp4BVShULNv//iDCCecCI0ZUqrnubEOMiQ1xYzkZT9RJEZ4gkakZ1AgTlSQzR/PnQvjDJxhJE0J7czdvxsZ4kqlPDSTHOmxWu3NzP96vUQPb4OMijjRRODFoWHCHB05sxScAZUEa5YaQFhS86uDx0girE1WS1dCnptMvNUE1qF9VfcMP15XG3dFOiU4g3OogQc30IAHaEILMCTwAq/wZj1b79aH9bkY3bCKnVNYkvX1C6M9mao=</latexit> y <latexit sha1_base64="Q3+xao0S8dcg9ORdAHSvyOmyDxU=">AAAB/HicbZDLSgMxFIbP1Futt6pLN8EiuCozIuiy6MZlBXuBdiiZNNPGJpkhyQjDUJ/Bra7diVvfxaVvYqadhW39IfDxn3M4J38Qc6aN6347pbX1jc2t8nZlZ3dv/6B6eNTWUaIIbZGIR6obYE05k7RlmOG0GyuKRcBpJ5jc5vXOE1WaRfLBpDH1BR5JFjKCjbXa/UBk6XRQrbl1dya0Cl4BNSjUHFR/+sOIJIJKQzjWuue5sfEzrAwjnE4r/UTTGJMJHtGeRYkF1X42u3aKzqwzRGGk7JMGzdy/ExkWWqcisJ0Cm7FeruXmf7VeYsJrP2MyTgyVZL4oTDgyEcq/joZMUWJ4agETxeytiIyxwsTYgBa2BCLPxFtOYBXaF3XP8v1lrXFTpFOGEziFc/DgChpwB01oAYFHeIFXeHOenXfnw/mct5acYuYYFuR8/QKpEJXo</latexit> <latexit sha1_base64="Q3+xao0S8dcg9ORdAHSvyOmyDxU=">AAAB/HicbZDLSgMxFIbP1Futt6pLN8EiuCozIuiy6MZlBXuBdiiZNNPGJpkhyQjDUJ/Bra7diVvfxaVvYqadhW39IfDxn3M4J38Qc6aN6347pbX1jc2t8nZlZ3dv/6B6eNTWUaIIbZGIR6obYE05k7RlmOG0GyuKRcBpJ5jc5vXOE1WaRfLBpDH1BR5JFjKCjbXa/UBk6XRQrbl1dya0Cl4BNSjUHFR/+sOIJIJKQzjWuue5sfEzrAwjnE4r/UTTGJMJHtGeRYkF1X42u3aKzqwzRGGk7JMGzdy/ExkWWqcisJ0Cm7FeruXmf7VeYsJrP2MyTgyVZL4oTDgyEcq/joZMUWJ4agETxeytiIyxwsTYgBa2BCLPxFtOYBXaF3XP8v1lrXFTpFOGEziFc/DgChpwB01oAYFHeIFXeHOenXfnw/mct5acYuYYFuR8/QKpEJXo</latexit> <latexit sha1_base64="Q3+xao0S8dcg9ORdAHSvyOmyDxU=">AAAB/HicbZDLSgMxFIbP1Futt6pLN8EiuCozIuiy6MZlBXuBdiiZNNPGJpkhyQjDUJ/Bra7diVvfxaVvYqadhW39IfDxn3M4J38Qc6aN6347pbX1jc2t8nZlZ3dv/6B6eNTWUaIIbZGIR6obYE05k7RlmOG0GyuKRcBpJ5jc5vXOE1WaRfLBpDH1BR5JFjKCjbXa/UBk6XRQrbl1dya0Cl4BNSjUHFR/+sOIJIJKQzjWuue5sfEzrAwjnE4r/UTTGJMJHtGeRYkF1X42u3aKzqwzRGGk7JMGzdy/ExkWWqcisJ0Cm7FeruXmf7VeYsJrP2MyTgyVZL4oTDgyEcq/joZMUWJ4agETxeytiIyxwsTYgBa2BCLPxFtOYBXaF3XP8v1lrXFTpFOGEziFc/DgChpwB01oAYFHeIFXeHOenXfnw/mct5acYuYYFuR8/QKpEJXo</latexit> <latexit sha1_base64="Q3+xao0S8dcg9ORdAHSvyOmyDxU=">AAAB/HicbZDLSgMxFIbP1Futt6pLN8EiuCozIuiy6MZlBXuBdiiZNNPGJpkhyQjDUJ/Bra7diVvfxaVvYqadhW39IfDxn3M4J38Qc6aN6347pbX1jc2t8nZlZ3dv/6B6eNTWUaIIbZGIR6obYE05k7RlmOG0GyuKRcBpJ5jc5vXOE1WaRfLBpDH1BR5JFjKCjbXa/UBk6XRQrbl1dya0Cl4BNSjUHFR/+sOIJIJKQzjWuue5sfEzrAwjnE4r/UTTGJMJHtGeRYkF1X42u3aKzqwzRGGk7JMGzdy/ExkWWqcisJ0Cm7FeruXmf7VeYsJrP2MyTgyVZL4oTDgyEcq/joZMUWJ4agETxeytiIyxwsTYgBa2BCLPxFtOYBXaF3XP8v1lrXFTpFOGEziFc/DgChpwB01oAYFHeIFXeHOenXfnw/mct5acYuYYFuR8/QKpEJXo</latexit> ໨తؔ਺͸ਅͷ஋͔ΒͷζϨͰɺɹͷؔ਺ɹɹɹͱݟΔ͜ͱ͕Ͱ͖Δɻ yi = g 0 @ X j w(2) ji vj 1 A <latexit sha1_base64="xfkhujSh0ikjdKn2oEtQcFLn56M=">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</latexit> <latexit sha1_base64="xfkhujSh0ikjdKn2oEtQcFLn56M=">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</latexit> <latexit sha1_base64="xfkhujSh0ikjdKn2oEtQcFLn56M=">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</latexit> <latexit 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sha1_base64="g0cjRMZAMO6RhG8nvNPLzU/ugTA=">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</latexit> <latexit 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sha1_base64="g0cjRMZAMO6RhG8nvNPLzU/ugTA=">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</latexit> <latexit 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sha1_base64="/Ln/RON6GXtrQIoDIndfIeqlgcQ=">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</latexit> <latexit sha1_base64="/Ln/RON6GXtrQIoDIndfIeqlgcQ=">AAACUXicbZBNT9tAEIYnhvJhCqTtkcuKCDVckI2Q4IKE2kuPQSIJKE6t9WadLN61rd0xEFn+bfyInnrsoVd67o3NhwQhjLTSu+87oxk9US6FQc/7XXNWVj+srW9sulsft3d2658+d0xWaMbbLJOZvo6o4VKkvI0CJb/ONacqkrwbJd8nefeOayOy9ArHOe8rOkxFLBhFa4X1myDWlJVBTjUKKsldKKuX3/3PsukfVmGpZFW55278NZA8xqYbmEKFyUue3FbkIUzcQIvhCA/dh1CF9YZ35E2LLAt/Lhowr1ZY/xMMMlYoniKT1Jie7+XYLyenMMkrNygMzylL6JD3rEyp4qZfThFU5MA6AxJn2r4UydR9PVFSZcxYRbZTURyZt9nEfC/rFRif9UuR5gXylM0WxYUkmJEJTzIQmjOUYyso08LeStiIWqZoqS9siVRlmfhvCSyLzvGRb/XlSePi25zOBuzBPjTBh1O4gB/QgjYweIS/8AT/ar9q/x1wnFmrU5vPfIGFcraeAfZzs8I=</latexit> <latexit sha1_base64="/Ln/RON6GXtrQIoDIndfIeqlgcQ=">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</latexit> <latexit sha1_base64="/Ln/RON6GXtrQIoDIndfIeqlgcQ=">AAACUXicbZBNT9tAEIYnhvJhCqTtkcuKCDVckI2Q4IKE2kuPQSIJKE6t9WadLN61rd0xEFn+bfyInnrsoVd67o3NhwQhjLTSu+87oxk9US6FQc/7XXNWVj+srW9sulsft3d2658+d0xWaMbbLJOZvo6o4VKkvI0CJb/ONacqkrwbJd8nefeOayOy9ArHOe8rOkxFLBhFa4X1myDWlJVBTjUKKsldKKuX3/3PsukfVmGpZFW55278NZA8xqYbmEKFyUue3FbkIUzcQIvhCA/dh1CF9YZ35E2LLAt/Lhowr1ZY/xMMMlYoniKT1Jie7+XYLyenMMkrNygMzylL6JD3rEyp4qZfThFU5MA6AxJn2r4UydR9PVFSZcxYRbZTURyZt9nEfC/rFRif9UuR5gXylM0WxYUkmJEJTzIQmjOUYyso08LeStiIWqZoqS9siVRlmfhvCSyLzvGRb/XlSePi25zOBuzBPjTBh1O4gB/QgjYweIS/8AT/ar9q/x1wnFmrU5vPfIGFcraeAfZzs8I=</latexit> @yi @w(2) li = g0 0 @ X j w(2) ji vj 1 A vl <latexit sha1_base64="Mf3Ig1/usezX+C4haBwZ2GhrTZQ=">AAACUXicbZDLS8NAEMan8R1fVY9eFotYL5KIoBdB9OJRwfqgqWGz3bRbd5OwO6mUkL/NP8KTRw9e9ezNbS34HFj49vtmmOEXZVIY9LynijMxOTU9Mzvnzi8sLi1XV1YvTZprxhsslam+jqjhUiS8gQIlv840pyqS/Cq6OxnmV32ujUiTCxxkvKVoJxGxYBStFVZvglhTVgQZ1SioJINQlF+/+9uivrtdhoUUZekeup2tQPIY625gchX2vvKeKEk/7LmBFp0ubrv9UIbVmrfjjYr8Ff5Y1GBcZ2H1OWinLFc8QSapMU3fy7BVDE9hkpdukBueUXZHO7xpZUIVN61ihKAkm9ZpkzjV9iVIRu73iYIqYwYqsp2KYtf8zobmf1kzx/igVYgky5En7HNRnEuCKRnyJG2hOUM5sIIyLeythHWpZYqW+o8tkSotE/83gb/icnfHt/p8r3Z0PKYzC+uwAXXwYR+O4BTOoAEMHuAFXuGt8lh5d8BxPludynhmDX6UM/8B5gOzuA==</latexit> <latexit sha1_base64="Mf3Ig1/usezX+C4haBwZ2GhrTZQ=">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</latexit> <latexit 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  39. ϥάϥϯδϡະఆ৐਺๏ f(x, y) <latexit sha1_base64="9eJ9KPRF7PwM5mM5fqqiuW86LXQ=">AAAB7XicbZDLSgMxFIbP1Futt6pLN8EiVJAyI4Iui25cVrAXaIeSSTNtbCYZkow4DH0HNy4Ucev7uPNtTNtZaOsPgY//nEPO+YOYM21c99sprKyurW8UN0tb2zu7e+X9g5aWiSK0SSSXqhNgTTkTtGmY4bQTK4qjgNN2ML6Z1tuPVGkmxb1JY+pHeChYyAg21mqF1aez9LRfrrg1dya0DF4OFcjV6Je/egNJkogKQzjWuuu5sfEzrAwjnE5KvUTTGJMxHtKuRYEjqv1stu0EnVhngEKp7BMGzdzfExmOtE6jwHZG2Iz0Ym1q/lfrJia88jMm4sRQQeYfhQlHRqLp6WjAFCWGpxYwUczuisgIK0yMDahkQ/AWT16G1nnNs3x3Ualf53EU4QiOoQoeXEIdbqEBTSDwAM/wCm+OdF6cd+dj3lpw8plD+CPn8wezN46K</latexit> <latexit sha1_base64="9eJ9KPRF7PwM5mM5fqqiuW86LXQ=">AAAB7XicbZDLSgMxFIbP1Futt6pLN8EiVJAyI4Iui25cVrAXaIeSSTNtbCYZkow4DH0HNy4Ucev7uPNtTNtZaOsPgY//nEPO+YOYM21c99sprKyurW8UN0tb2zu7e+X9g5aWiSK0SSSXqhNgTTkTtGmY4bQTK4qjgNN2ML6Z1tuPVGkmxb1JY+pHeChYyAg21mqF1aez9LRfrrg1dya0DF4OFcjV6Je/egNJkogKQzjWuuu5sfEzrAwjnE5KvUTTGJMxHtKuRYEjqv1stu0EnVhngEKp7BMGzdzfExmOtE6jwHZG2Iz0Ym1q/lfrJia88jMm4sRQQeYfhQlHRqLp6WjAFCWGpxYwUczuisgIK0yMDahkQ/AWT16G1nnNs3x3Ualf53EU4QiOoQoeXEIdbqEBTSDwAM/wCm+OdF6cd+dj3lpw8plD+CPn8wezN46K</latexit> <latexit sha1_base64="9eJ9KPRF7PwM5mM5fqqiuW86LXQ=">AAAB7XicbZDLSgMxFIbP1Futt6pLN8EiVJAyI4Iui25cVrAXaIeSSTNtbCYZkow4DH0HNy4Ucev7uPNtTNtZaOsPgY//nEPO+YOYM21c99sprKyurW8UN0tb2zu7e+X9g5aWiSK0SSSXqhNgTTkTtGmY4bQTK4qjgNN2ML6Z1tuPVGkmxb1JY+pHeChYyAg21mqF1aez9LRfrrg1dya0DF4OFcjV6Je/egNJkogKQzjWuuu5sfEzrAwjnE5KvUTTGJMxHtKuRYEjqv1stu0EnVhngEKp7BMGzdzfExmOtE6jwHZG2Iz0Ym1q/lfrJia88jMm4sRQQeYfhQlHRqLp6WjAFCWGpxYwUczuisgIK0yMDahkQ/AWT16G1nnNs3x3Ualf53EU4QiOoQoeXEIdbqEBTSDwAM/wCm+OdF6cd+dj3lpw8plD+CPn8wezN46K</latexit> <latexit

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sha1_base64="9eJ9KPRF7PwM5mM5fqqiuW86LXQ=">AAAB7XicbZDLSgMxFIbP1Futt6pLN8EiVJAyI4Iui25cVrAXaIeSSTNtbCYZkow4DH0HNy4Ucev7uPNtTNtZaOsPgY//nEPO+YOYM21c99sprKyurW8UN0tb2zu7e+X9g5aWiSK0SSSXqhNgTTkTtGmY4bQTK4qjgNN2ML6Z1tuPVGkmxb1JY+pHeChYyAg21mqF1aez9LRfrrg1dya0DF4OFcjV6Je/egNJkogKQzjWuuu5sfEzrAwjnE5KvUTTGJMxHtKuRYEjqv1stu0EnVhngEKp7BMGzdzfExmOtE6jwHZG2Iz0Ym1q/lfrJia88jMm4sRQQeYfhQlHRqLp6WjAFCWGpxYwUczuisgIK0yMDahkQ/AWT16G1nnNs3x3Ualf53EU4QiOoQoeXEIdbqEBTSDwAM/wCm+OdF6cd+dj3lpw8plD+CPn8wezN46K</latexit> <latexit sha1_base64="9eJ9KPRF7PwM5mM5fqqiuW86LXQ=">AAAB7XicbZDLSgMxFIbP1Futt6pLN8EiVJAyI4Iui25cVrAXaIeSSTNtbCYZkow4DH0HNy4Ucev7uPNtTNtZaOsPgY//nEPO+YOYM21c99sprKyurW8UN0tb2zu7e+X9g5aWiSK0SSSXqhNgTTkTtGmY4bQTK4qjgNN2ML6Z1tuPVGkmxb1JY+pHeChYyAg21mqF1aez9LRfrrg1dya0DF4OFcjV6Je/egNJkogKQzjWuuu5sfEzrAwjnE5KvUTTGJMxHtKuRYEjqv1stu0EnVhngEKp7BMGzdzfExmOtE6jwHZG2Iz0Ym1q/lfrJia88jMm4sRQQeYfhQlHRqLp6WjAFCWGpxYwUczuisgIK0yMDahkQ/AWT16G1nnNs3x3Ualf53EU4QiOoQoeXEIdbqEBTSDwAM/wCm+OdF6cd+dj3lpw8plD+CPn8wezN46K</latexit> <latexit sha1_base64="9eJ9KPRF7PwM5mM5fqqiuW86LXQ=">AAAB7XicbZDLSgMxFIbP1Futt6pLN8EiVJAyI4Iui25cVrAXaIeSSTNtbCYZkow4DH0HNy4Ucev7uPNtTNtZaOsPgY//nEPO+YOYM21c99sprKyurW8UN0tb2zu7e+X9g5aWiSK0SSSXqhNgTTkTtGmY4bQTK4qjgNN2ML6Z1tuPVGkmxb1JY+pHeChYyAg21mqF1aez9LRfrrg1dya0DF4OFcjV6Je/egNJkogKQzjWuuu5sfEzrAwjnE5KvUTTGJMxHtKuRYEjqv1stu0EnVhngEKp7BMGzdzfExmOtE6jwHZG2Iz0Ym1q/lfrJia88jMm4sRQQeYfhQlHRqLp6WjAFCWGpxYwUczuisgIK0yMDahkQ/AWT16G1nnNs3x3Ualf53EU4QiOoQoeXEIdbqEBTSDwAM/wCm+OdF6cd+dj3lpw8plD+CPn8wezN46K</latexit> g(x, y) = 0 <latexit sha1_base64="P8AV/tm+teqXGKUJIXmiPWcoTu8=">AAAB73icbZDLSgMxFIZPvNZ6q7p0EyxCBSkzIuhGKLpxWcFeoB1KJs20oZnMmGTEYehLuHGhiFtfx51vY9rOQlt/CHz85xxyzu/HgmvjON9oaXlldW29sFHc3Nre2S3t7Td1lCjKGjQSkWr7RDPBJWsYbgRrx4qR0Bes5Y9uJvXWI1OaR/LepDHzQjKQPOCUGGu1B5Wn0/TkyumVyk7VmQovgptDGXLVe6Wvbj+iScikoYJo3XGd2HgZUYZTwcbFbqJZTOiIDFjHoiQh01423XeMj63Tx0Gk7JMGT93fExkJtU5D33aGxAz1fG1i/lfrJCa49DIu48QwSWcfBYnAJsKT43GfK0aNSC0QqrjdFdMhUYQaG1HRhuDOn7wIzbOqa/nuvFy7zuMowCEcQQVcuIAa3EIdGkBBwDO8wht6QC/oHX3MWpdQPnMAf4Q+fwCnyI8M</latexit> <latexit sha1_base64="P8AV/tm+teqXGKUJIXmiPWcoTu8=">AAAB73icbZDLSgMxFIZPvNZ6q7p0EyxCBSkzIuhGKLpxWcFeoB1KJs20oZnMmGTEYehLuHGhiFtfx51vY9rOQlt/CHz85xxyzu/HgmvjON9oaXlldW29sFHc3Nre2S3t7Td1lCjKGjQSkWr7RDPBJWsYbgRrx4qR0Bes5Y9uJvXWI1OaR/LepDHzQjKQPOCUGGu1B5Wn0/TkyumVyk7VmQovgptDGXLVe6Wvbj+iScikoYJo3XGd2HgZUYZTwcbFbqJZTOiIDFjHoiQh01423XeMj63Tx0Gk7JMGT93fExkJtU5D33aGxAz1fG1i/lfrJCa49DIu48QwSWcfBYnAJsKT43GfK0aNSC0QqrjdFdMhUYQaG1HRhuDOn7wIzbOqa/nuvFy7zuMowCEcQQVcuIAa3EIdGkBBwDO8wht6QC/oHX3MWpdQPnMAf4Q+fwCnyI8M</latexit> <latexit sha1_base64="P8AV/tm+teqXGKUJIXmiPWcoTu8=">AAAB73icbZDLSgMxFIZPvNZ6q7p0EyxCBSkzIuhGKLpxWcFeoB1KJs20oZnMmGTEYehLuHGhiFtfx51vY9rOQlt/CHz85xxyzu/HgmvjON9oaXlldW29sFHc3Nre2S3t7Td1lCjKGjQSkWr7RDPBJWsYbgRrx4qR0Bes5Y9uJvXWI1OaR/LepDHzQjKQPOCUGGu1B5Wn0/TkyumVyk7VmQovgptDGXLVe6Wvbj+iScikoYJo3XGd2HgZUYZTwcbFbqJZTOiIDFjHoiQh01423XeMj63Tx0Gk7JMGT93fExkJtU5D33aGxAz1fG1i/lfrJCa49DIu48QwSWcfBYnAJsKT43GfK0aNSC0QqrjdFdMhUYQaG1HRhuDOn7wIzbOqa/nuvFy7zuMowCEcQQVcuIAa3EIdGkBBwDO8wht6QC/oHX3MWpdQPnMAf4Q+fwCnyI8M</latexit> <latexit sha1_base64="P8AV/tm+teqXGKUJIXmiPWcoTu8=">AAAB73icbZDLSgMxFIZPvNZ6q7p0EyxCBSkzIuhGKLpxWcFeoB1KJs20oZnMmGTEYehLuHGhiFtfx51vY9rOQlt/CHz85xxyzu/HgmvjON9oaXlldW29sFHc3Nre2S3t7Td1lCjKGjQSkWr7RDPBJWsYbgRrx4qR0Bes5Y9uJvXWI1OaR/LepDHzQjKQPOCUGGu1B5Wn0/TkyumVyk7VmQovgptDGXLVe6Wvbj+iScikoYJo3XGd2HgZUYZTwcbFbqJZTOiIDFjHoiQh01423XeMj63Tx0Gk7JMGT93fExkJtU5D33aGxAz1fG1i/lfrJCa49DIu48QwSWcfBYnAJsKT43GfK0aNSC0QqrjdFdMhUYQaG1HRhuDOn7wIzbOqa/nuvFy7zuMowCEcQQVcuIAa3EIdGkBBwDO8wht6QC/oHX3MWpdQPnMAf4Q+fwCnyI8M</latexit> L(x, y, ) = f(x, y) + g(x, y) <latexit sha1_base64="rCgmpYHoyGRkVEcY7fEWIPQgUN4=">AAACEHicbVDNS8MwHE39nPOr6tFLcIgbjtGKoBdh6MWDhwnuA7Yy0izdwtK0JKlYyv4EL/4rXjwo4tWjN/8b064H3XwQeHnv90h+zw0Zlcqyvo2FxaXlldXCWnF9Y3Nr29zZbckgEpg0ccAC0XGRJIxy0lRUMdIJBUG+y0jbHV+lfvueCEkDfqfikDg+GnLqUYyUlvrm0U35oRpXe0xHBqgCL6CXCpVjmEtwmN37ZsmqWRngPLFzUgI5Gn3zqzcIcOQTrjBDUnZtK1ROgoSimJFJsRdJEiI8RkPS1ZQjn0gnyRaawEOtDKAXCH24gpn6O5EgX8rYd/Wkj9RIznqp+J/XjZR37iSUh5EiHE8f8iIGVQDTduCACoIVizVBWFD9V4hHSCCsdIdFXYI9u/I8aZ3UbM1vT0v1y7yOAtgHB6AMbHAG6uAaNEATYPAInsEreDOejBfj3fiYji4YeWYP/IHx+QMoupoi</latexit> <latexit sha1_base64="rCgmpYHoyGRkVEcY7fEWIPQgUN4=">AAACEHicbVDNS8MwHE39nPOr6tFLcIgbjtGKoBdh6MWDhwnuA7Yy0izdwtK0JKlYyv4EL/4rXjwo4tWjN/8b064H3XwQeHnv90h+zw0Zlcqyvo2FxaXlldXCWnF9Y3Nr29zZbckgEpg0ccAC0XGRJIxy0lRUMdIJBUG+y0jbHV+lfvueCEkDfqfikDg+GnLqUYyUlvrm0U35oRpXe0xHBqgCL6CXCpVjmEtwmN37ZsmqWRngPLFzUgI5Gn3zqzcIcOQTrjBDUnZtK1ROgoSimJFJsRdJEiI8RkPS1ZQjn0gnyRaawEOtDKAXCH24gpn6O5EgX8rYd/Wkj9RIznqp+J/XjZR37iSUh5EiHE8f8iIGVQDTduCACoIVizVBWFD9V4hHSCCsdIdFXYI9u/I8aZ3UbM1vT0v1y7yOAtgHB6AMbHAG6uAaNEATYPAInsEreDOejBfj3fiYji4YeWYP/IHx+QMoupoi</latexit> <latexit sha1_base64="rCgmpYHoyGRkVEcY7fEWIPQgUN4=">AAACEHicbVDNS8MwHE39nPOr6tFLcIgbjtGKoBdh6MWDhwnuA7Yy0izdwtK0JKlYyv4EL/4rXjwo4tWjN/8b064H3XwQeHnv90h+zw0Zlcqyvo2FxaXlldXCWnF9Y3Nr29zZbckgEpg0ccAC0XGRJIxy0lRUMdIJBUG+y0jbHV+lfvueCEkDfqfikDg+GnLqUYyUlvrm0U35oRpXe0xHBqgCL6CXCpVjmEtwmN37ZsmqWRngPLFzUgI5Gn3zqzcIcOQTrjBDUnZtK1ROgoSimJFJsRdJEiI8RkPS1ZQjn0gnyRaawEOtDKAXCH24gpn6O5EgX8rYd/Wkj9RIznqp+J/XjZR37iSUh5EiHE8f8iIGVQDTduCACoIVizVBWFD9V4hHSCCsdIdFXYI9u/I8aZ3UbM1vT0v1y7yOAtgHB6AMbHAG6uAaNEATYPAInsEreDOejBfj3fiYji4YeWYP/IHx+QMoupoi</latexit> <latexit sha1_base64="rCgmpYHoyGRkVEcY7fEWIPQgUN4=">AAACEHicbVDNS8MwHE39nPOr6tFLcIgbjtGKoBdh6MWDhwnuA7Yy0izdwtK0JKlYyv4EL/4rXjwo4tWjN/8b064H3XwQeHnv90h+zw0Zlcqyvo2FxaXlldXCWnF9Y3Nr29zZbckgEpg0ccAC0XGRJIxy0lRUMdIJBUG+y0jbHV+lfvueCEkDfqfikDg+GnLqUYyUlvrm0U35oRpXe0xHBqgCL6CXCpVjmEtwmN37ZsmqWRngPLFzUgI5Gn3zqzcIcOQTrjBDUnZtK1ROgoSimJFJsRdJEiI8RkPS1ZQjn0gnyRaawEOtDKAXCH24gpn6O5EgX8rYd/Wkj9RIznqp+J/XjZR37iSUh5EiHE8f8iIGVQDTduCACoIVizVBWFD9V4hHSCCsdIdFXYI9u/I8aZ3UbM1vT0v1y7yOAtgHB6AMbHAG6uAaNEATYPAInsEreDOejBfj3fiYji4YeWYP/IHx+QMoupoi</latexit> Minimize Subject to ͜ΕΛղ͘ʹ͸ ͱ͓͍ͯ Λղ͚͹Α͍ rL = 0 <latexit sha1_base64="JV7LyuUXTnS2vmk5qCUA1wbg5B0=">AAAB8XicbZA9SwNBEIbn4leMX1FLm8UgWIU7EbQRgjYWFhHMByZHmNvsJUv29o7dPSEc+Rc2ForY+m/s/Ddukis08YWFh3dm2Jk3SATXxnW/ncLK6tr6RnGztLW9s7tX3j9o6jhVlDVoLGLVDlAzwSVrGG4EayeKYRQI1gpGN9N664kpzWP5YMYJ8yMcSB5yisZaj12JgUByd+X2yhW36s5ElsHLoQK56r3yV7cf0zRi0lCBWnc8NzF+hspwKtik1E01S5COcMA6FiVGTPvZbOMJObFOn4Sxsk8aMnN/T2QYaT2OAtsZoRnqxdrU/K/WSU146WdcJqlhks4/ClNBTEym55M+V4waMbaAVHG7K6FDVEiNDalkQ/AWT16G5lnVs3x/Xqld53EU4QiO4RQ8uIAa3EIdGkBBwjO8wpujnRfn3fmYtxacfOYQ/sj5/AFmwZAR</latexit> <latexit sha1_base64="JV7LyuUXTnS2vmk5qCUA1wbg5B0=">AAAB8XicbZA9SwNBEIbn4leMX1FLm8UgWIU7EbQRgjYWFhHMByZHmNvsJUv29o7dPSEc+Rc2ForY+m/s/Ddukis08YWFh3dm2Jk3SATXxnW/ncLK6tr6RnGztLW9s7tX3j9o6jhVlDVoLGLVDlAzwSVrGG4EayeKYRQI1gpGN9N664kpzWP5YMYJ8yMcSB5yisZaj12JgUByd+X2yhW36s5ElsHLoQK56r3yV7cf0zRi0lCBWnc8NzF+hspwKtik1E01S5COcMA6FiVGTPvZbOMJObFOn4Sxsk8aMnN/T2QYaT2OAtsZoRnqxdrU/K/WSU146WdcJqlhks4/ClNBTEym55M+V4waMbaAVHG7K6FDVEiNDalkQ/AWT16G5lnVs3x/Xqld53EU4QiO4RQ8uIAa3EIdGkBBwjO8wpujnRfn3fmYtxacfOYQ/sj5/AFmwZAR</latexit> <latexit sha1_base64="JV7LyuUXTnS2vmk5qCUA1wbg5B0=">AAAB8XicbZA9SwNBEIbn4leMX1FLm8UgWIU7EbQRgjYWFhHMByZHmNvsJUv29o7dPSEc+Rc2ForY+m/s/Ddukis08YWFh3dm2Jk3SATXxnW/ncLK6tr6RnGztLW9s7tX3j9o6jhVlDVoLGLVDlAzwSVrGG4EayeKYRQI1gpGN9N664kpzWP5YMYJ8yMcSB5yisZaj12JgUByd+X2yhW36s5ElsHLoQK56r3yV7cf0zRi0lCBWnc8NzF+hspwKtik1E01S5COcMA6FiVGTPvZbOMJObFOn4Sxsk8aMnN/T2QYaT2OAtsZoRnqxdrU/K/WSU146WdcJqlhks4/ClNBTEym55M+V4waMbaAVHG7K6FDVEiNDalkQ/AWT16G5lnVs3x/Xqld53EU4QiO4RQ8uIAa3EIdGkBBwjO8wpujnRfn3fmYtxacfOYQ/sj5/AFmwZAR</latexit> <latexit sha1_base64="JV7LyuUXTnS2vmk5qCUA1wbg5B0=">AAAB8XicbZA9SwNBEIbn4leMX1FLm8UgWIU7EbQRgjYWFhHMByZHmNvsJUv29o7dPSEc+Rc2ForY+m/s/Ddukis08YWFh3dm2Jk3SATXxnW/ncLK6tr6RnGztLW9s7tX3j9o6jhVlDVoLGLVDlAzwSVrGG4EayeKYRQI1gpGN9N664kpzWP5YMYJ8yMcSB5yisZaj12JgUByd+X2yhW36s5ElsHLoQK56r3yV7cf0zRi0lCBWnc8NzF+hspwKtik1E01S5COcMA6FiVGTPvZbOMJObFOn4Sxsk8aMnN/T2QYaT2OAtsZoRnqxdrU/K/WSU146WdcJqlhks4/ClNBTEym55M+V4waMbaAVHG7K6FDVEiNDalkQ/AWT16G5lnVs3x/Xqld53EU4QiO4RQ8uIAa3EIdGkBBwjO8wpujnRfn3fmYtxacfOYQ/sj5/AFmwZAR</latexit>
  40. rf = rg <latexit sha1_base64="fxL7LYTqUqBdKCy5QW8uS39coLI=">AAACBXicbVDLSsNAFJ3UV62vqEtdDBbBjSURQTdC0Y3LCvYBTSg3k0k7dDIJMxOhhG7c+CtuXCji1n9w5984bbPQ1gMDh3Pu4c49QcqZ0o7zbZWWlldW18rrlY3Nre0de3evpZJMEtokCU9kJwBFORO0qZnmtJNKCnHAaTsY3kz89gOViiXiXo9S6sfQFyxiBLSRevahJyDggCN8dYo9boIh4ELr9+yqU3OmwIvELUgVFWj07C8vTEgWU6EJB6W6rpNqPwepGeF0XPEyRVMgQ+jTrqECYqr8fHrFGB8bJcRRIs0TGk/V34kcYqVGcWAmY9ADNe9NxP+8bqajSz9nIs00FWS2KMo41gmeVIJDJinRfGQIEMnMXzEZgASiTXEVU4I7f/IiaZ3VXMPvzqv166KOMjpAR+gEuegC1dEtaqAmIugRPaNX9GY9WS/Wu/UxGy1ZRWYf/YH1+QMfA5cL</latexit> <latexit sha1_base64="fxL7LYTqUqBdKCy5QW8uS39coLI=">AAACBXicbVDLSsNAFJ3UV62vqEtdDBbBjSURQTdC0Y3LCvYBTSg3k0k7dDIJMxOhhG7c+CtuXCji1n9w5984bbPQ1gMDh3Pu4c49QcqZ0o7zbZWWlldW18rrlY3Nre0de3evpZJMEtokCU9kJwBFORO0qZnmtJNKCnHAaTsY3kz89gOViiXiXo9S6sfQFyxiBLSRevahJyDggCN8dYo9boIh4ELr9+yqU3OmwIvELUgVFWj07C8vTEgWU6EJB6W6rpNqPwepGeF0XPEyRVMgQ+jTrqECYqr8fHrFGB8bJcRRIs0TGk/V34kcYqVGcWAmY9ADNe9NxP+8bqajSz9nIs00FWS2KMo41gmeVIJDJinRfGQIEMnMXzEZgASiTXEVU4I7f/IiaZ3VXMPvzqv166KOMjpAR+gEuegC1dEtaqAmIugRPaNX9GY9WS/Wu/UxGy1ZRWYf/YH1+QMfA5cL</latexit> <latexit sha1_base64="fxL7LYTqUqBdKCy5QW8uS39coLI=">AAACBXicbVDLSsNAFJ3UV62vqEtdDBbBjSURQTdC0Y3LCvYBTSg3k0k7dDIJMxOhhG7c+CtuXCji1n9w5984bbPQ1gMDh3Pu4c49QcqZ0o7zbZWWlldW18rrlY3Nre0de3evpZJMEtokCU9kJwBFORO0qZnmtJNKCnHAaTsY3kz89gOViiXiXo9S6sfQFyxiBLSRevahJyDggCN8dYo9boIh4ELr9+yqU3OmwIvELUgVFWj07C8vTEgWU6EJB6W6rpNqPwepGeF0XPEyRVMgQ+jTrqECYqr8fHrFGB8bJcRRIs0TGk/V34kcYqVGcWAmY9ADNe9NxP+8bqajSz9nIs00FWS2KMo41gmeVIJDJinRfGQIEMnMXzEZgASiTXEVU4I7f/IiaZ3VXMPvzqv166KOMjpAR+gEuegC1dEtaqAmIugRPaNX9GY9WS/Wu/UxGy1ZRWYf/YH1+QMfA5cL</latexit> <latexit

    sha1_base64="fxL7LYTqUqBdKCy5QW8uS39coLI=">AAACBXicbVDLSsNAFJ3UV62vqEtdDBbBjSURQTdC0Y3LCvYBTSg3k0k7dDIJMxOhhG7c+CtuXCji1n9w5984bbPQ1gMDh3Pu4c49QcqZ0o7zbZWWlldW18rrlY3Nre0de3evpZJMEtokCU9kJwBFORO0qZnmtJNKCnHAaTsY3kz89gOViiXiXo9S6sfQFyxiBLSRevahJyDggCN8dYo9boIh4ELr9+yqU3OmwIvELUgVFWj07C8vTEgWU6EJB6W6rpNqPwepGeF0XPEyRVMgQ+jTrqECYqr8fHrFGB8bJcRRIs0TGk/V34kcYqVGcWAmY9ADNe9NxP+8bqajSz9nIs00FWS2KMo41gmeVIJDJinRfGQIEMnMXzEZgASiTXEVU4I7f/IiaZ3VXMPvzqv166KOMjpAR+gEuegC1dEtaqAmIugRPaNX9GY9WS/Wu/UxGy1ZRWYf/YH1+QMfA5cL</latexit> g = 0 <latexit 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sha1_base64="rCgmpYHoyGRkVEcY7fEWIPQgUN4=">AAACEHicbVDNS8MwHE39nPOr6tFLcIgbjtGKoBdh6MWDhwnuA7Yy0izdwtK0JKlYyv4EL/4rXjwo4tWjN/8b064H3XwQeHnv90h+zw0Zlcqyvo2FxaXlldXCWnF9Y3Nr29zZbckgEpg0ccAC0XGRJIxy0lRUMdIJBUG+y0jbHV+lfvueCEkDfqfikDg+GnLqUYyUlvrm0U35oRpXe0xHBqgCL6CXCpVjmEtwmN37ZsmqWRngPLFzUgI5Gn3zqzcIcOQTrjBDUnZtK1ROgoSimJFJsRdJEiI8RkPS1ZQjn0gnyRaawEOtDKAXCH24gpn6O5EgX8rYd/Wkj9RIznqp+J/XjZR37iSUh5EiHE8f8iIGVQDTduCACoIVizVBWFD9V4hHSCCsdIdFXYI9u/I8aZ3UbM1vT0v1y7yOAtgHB6AMbHAG6uAaNEATYPAInsEreDOejBfj3fiYji4YeWYP/IHx+QMoupoi</latexit> <latexit 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  41. ϥάϥϯδϡະఆ৐਺๏ ʢෆ౳੍ࣜ໿ʣ f(x, y) <latexit sha1_base64="9eJ9KPRF7PwM5mM5fqqiuW86LXQ=">AAAB7XicbZDLSgMxFIbP1Futt6pLN8EiVJAyI4Iui25cVrAXaIeSSTNtbCYZkow4DH0HNy4Ucev7uPNtTNtZaOsPgY//nEPO+YOYM21c99sprKyurW8UN0tb2zu7e+X9g5aWiSK0SSSXqhNgTTkTtGmY4bQTK4qjgNN2ML6Z1tuPVGkmxb1JY+pHeChYyAg21mqF1aez9LRfrrg1dya0DF4OFcjV6Je/egNJkogKQzjWuuu5sfEzrAwjnE5KvUTTGJMxHtKuRYEjqv1stu0EnVhngEKp7BMGzdzfExmOtE6jwHZG2Iz0Ym1q/lfrJia88jMm4sRQQeYfhQlHRqLp6WjAFCWGpxYwUczuisgIK0yMDahkQ/AWT16G1nnNs3x3Ualf53EU4QiOoQoeXEIdbqEBTSDwAM/wCm+OdF6cd+dj3lpw8plD+CPn8wezN46K</latexit> <latexit sha1_base64="9eJ9KPRF7PwM5mM5fqqiuW86LXQ=">AAAB7XicbZDLSgMxFIbP1Futt6pLN8EiVJAyI4Iui25cVrAXaIeSSTNtbCYZkow4DH0HNy4Ucev7uPNtTNtZaOsPgY//nEPO+YOYM21c99sprKyurW8UN0tb2zu7e+X9g5aWiSK0SSSXqhNgTTkTtGmY4bQTK4qjgNN2ML6Z1tuPVGkmxb1JY+pHeChYyAg21mqF1aez9LRfrrg1dya0DF4OFcjV6Je/egNJkogKQzjWuuu5sfEzrAwjnE5KvUTTGJMxHtKuRYEjqv1stu0EnVhngEKp7BMGzdzfExmOtE6jwHZG2Iz0Ym1q/lfrJia88jMm4sRQQeYfhQlHRqLp6WjAFCWGpxYwUczuisgIK0yMDahkQ/AWT16G1nnNs3x3Ualf53EU4QiOoQoeXEIdbqEBTSDwAM/wCm+OdF6cd+dj3lpw8plD+CPn8wezN46K</latexit> <latexit sha1_base64="9eJ9KPRF7PwM5mM5fqqiuW86LXQ=">AAAB7XicbZDLSgMxFIbP1Futt6pLN8EiVJAyI4Iui25cVrAXaIeSSTNtbCYZkow4DH0HNy4Ucev7uPNtTNtZaOsPgY//nEPO+YOYM21c99sprKyurW8UN0tb2zu7e+X9g5aWiSK0SSSXqhNgTTkTtGmY4bQTK4qjgNN2ML6Z1tuPVGkmxb1JY+pHeChYyAg21mqF1aez9LRfrrg1dya0DF4OFcjV6Je/egNJkogKQzjWuuu5sfEzrAwjnE5KvUTTGJMxHtKuRYEjqv1stu0EnVhngEKp7BMGzdzfExmOtE6jwHZG2Iz0Ym1q/lfrJia88jMm4sRQQeYfhQlHRqLp6WjAFCWGpxYwUczuisgIK0yMDahkQ/AWT16G1nnNs3x3Ualf53EU4QiOoQoeXEIdbqEBTSDwAM/wCm+OdF6cd+dj3lpw8plD+CPn8wezN46K</latexit>

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sha1_base64="rCgmpYHoyGRkVEcY7fEWIPQgUN4=">AAACEHicbVDNS8MwHE39nPOr6tFLcIgbjtGKoBdh6MWDhwnuA7Yy0izdwtK0JKlYyv4EL/4rXjwo4tWjN/8b064H3XwQeHnv90h+zw0Zlcqyvo2FxaXlldXCWnF9Y3Nr29zZbckgEpg0ccAC0XGRJIxy0lRUMdIJBUG+y0jbHV+lfvueCEkDfqfikDg+GnLqUYyUlvrm0U35oRpXe0xHBqgCL6CXCpVjmEtwmN37ZsmqWRngPLFzUgI5Gn3zqzcIcOQTrjBDUnZtK1ROgoSimJFJsRdJEiI8RkPS1ZQjn0gnyRaawEOtDKAXCH24gpn6O5EgX8rYd/Wkj9RIznqp+J/XjZR37iSUh5EiHE8f8iIGVQDTduCACoIVizVBWFD9V4hHSCCsdIdFXYI9u/I8aZ3UbM1vT0v1y7yOAtgHB6AMbHAG6uAaNEATYPAInsEreDOejBfj3fiYji4YeWYP/IHx+QMoupoi</latexit> Minimize Subject to ͜ΕΛղ͘ʹ͸ ͱ͓͍ͯ Λղ͚͹Α͍ g(x, y)  0 <latexit sha1_base64="7mEvOU7tLUi6pu4Q3K5IsSySj8I=">AAAB83icbZDLSgNBEEVr4ivGV9Slm8YgRJAwI4Iug25cRjAPyAyhp1OTNOl52N0jhiG/4caFIm79GXf+jZ1kFpp4oeFwq4qqvn4iuNK2/W0VVlbX1jeKm6Wt7Z3dvfL+QUvFqWTYZLGIZcenCgWPsKm5FthJJNLQF9j2RzfTevsRpeJxdK/HCXohHUQ84IxqY7mD6tPZ+NQV+EDsXrli1+yZyDI4OVQgV6NX/nL7MUtDjDQTVKmuYyfay6jUnAmclNxUYULZiA6wazCiISovm908ISfG6ZMgluZFmszc3xMZDZUah77pDKkeqsXa1Pyv1k11cOVlPEpSjRGbLwpSQXRMpgGQPpfItBgboExycythQyop0yamkgnBWfzyMrTOa47hu4tK/TqPowhHcAxVcOAS6nALDWgCgwSe4RXerNR6sd6tj3lrwcpnDuGPrM8fkBGQtQ==</latexit> <latexit sha1_base64="7mEvOU7tLUi6pu4Q3K5IsSySj8I=">AAAB83icbZDLSgNBEEVr4ivGV9Slm8YgRJAwI4Iug25cRjAPyAyhp1OTNOl52N0jhiG/4caFIm79GXf+jZ1kFpp4oeFwq4qqvn4iuNK2/W0VVlbX1jeKm6Wt7Z3dvfL+QUvFqWTYZLGIZcenCgWPsKm5FthJJNLQF9j2RzfTevsRpeJxdK/HCXohHUQ84IxqY7mD6tPZ+NQV+EDsXrli1+yZyDI4OVQgV6NX/nL7MUtDjDQTVKmuYyfay6jUnAmclNxUYULZiA6wazCiISovm908ISfG6ZMgluZFmszc3xMZDZUah77pDKkeqsXa1Pyv1k11cOVlPEpSjRGbLwpSQXRMpgGQPpfItBgboExycythQyop0yamkgnBWfzyMrTOa47hu4tK/TqPowhHcAxVcOAS6nALDWgCgwSe4RXerNR6sd6tj3lrwcpnDuGPrM8fkBGQtQ==</latexit> <latexit sha1_base64="7mEvOU7tLUi6pu4Q3K5IsSySj8I=">AAAB83icbZDLSgNBEEVr4ivGV9Slm8YgRJAwI4Iug25cRjAPyAyhp1OTNOl52N0jhiG/4caFIm79GXf+jZ1kFpp4oeFwq4qqvn4iuNK2/W0VVlbX1jeKm6Wt7Z3dvfL+QUvFqWTYZLGIZcenCgWPsKm5FthJJNLQF9j2RzfTevsRpeJxdK/HCXohHUQ84IxqY7mD6tPZ+NQV+EDsXrli1+yZyDI4OVQgV6NX/nL7MUtDjDQTVKmuYyfay6jUnAmclNxUYULZiA6wazCiISovm908ISfG6ZMgluZFmszc3xMZDZUah77pDKkeqsXa1Pyv1k11cOVlPEpSjRGbLwpSQXRMpgGQPpfItBgboExycythQyop0yamkgnBWfzyMrTOa47hu4tK/TqPowhHcAxVcOAS6nALDWgCgwSe4RXerNR6sd6tj3lrwcpnDuGPrM8fkBGQtQ==</latexit> <latexit sha1_base64="7mEvOU7tLUi6pu4Q3K5IsSySj8I=">AAAB83icbZDLSgNBEEVr4ivGV9Slm8YgRJAwI4Iug25cRjAPyAyhp1OTNOl52N0jhiG/4caFIm79GXf+jZ1kFpp4oeFwq4qqvn4iuNK2/W0VVlbX1jeKm6Wt7Z3dvfL+QUvFqWTYZLGIZcenCgWPsKm5FthJJNLQF9j2RzfTevsRpeJxdK/HCXohHUQ84IxqY7mD6tPZ+NQV+EDsXrli1+yZyDI4OVQgV6NX/nL7MUtDjDQTVKmuYyfay6jUnAmclNxUYULZiA6wazCiISovm908ISfG6ZMgluZFmszc3xMZDZUah77pDKkeqsXa1Pyv1k11cOVlPEpSjRGbLwpSQXRMpgGQPpfItBgboExycythQyop0yamkgnBWfzyMrTOa47hu4tK/TqPowhHcAxVcOAS6nALDWgCgwSe4RXerNR6sd6tj3lrwcpnDuGPrM8fkBGQtQ==</latexit> KKT৚݅ͱݺ͹ΕΔ rL(x, y, ) = 0 g(x, y) = 0 0 g(x, y)  0 <latexit 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sha1_base64="05SWytFGUy7eOwtiPtKQKJGcWTY=">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</latexit> <latexit sha1_base64="05SWytFGUy7eOwtiPtKQKJGcWTY=">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</latexit> <latexit 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  42. f(x, y) = 5x2 + 6xy + 5y2 26x 26y

    g(x, y) = x2 + y2 4 <latexit sha1_base64="CektuUOH/dH2InAkhA3RtnTClWU=">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</latexit> <latexit 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sha1_base64="CektuUOH/dH2InAkhA3RtnTClWU=">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</latexit> ྫɿ f(x, y) = 5x2 + 6xy + 5y2 16x 16y g(x, y) = x2 + y2 4 <latexit sha1_base64="islkD36VSVCHFNtfd61NT+2+m44=">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</latexit> <latexit sha1_base64="islkD36VSVCHFNtfd61NT+2+m44=">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</latexit> <latexit sha1_base64="islkD36VSVCHFNtfd61NT+2+m44=">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</latexit> <latexit sha1_base64="islkD36VSVCHFNtfd61NT+2+m44=">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</latexit> rf = rg <latexit sha1_base64="fxL7LYTqUqBdKCy5QW8uS39coLI=">AAACBXicbVDLSsNAFJ3UV62vqEtdDBbBjSURQTdC0Y3LCvYBTSg3k0k7dDIJMxOhhG7c+CtuXCji1n9w5984bbPQ1gMDh3Pu4c49QcqZ0o7zbZWWlldW18rrlY3Nre0de3evpZJMEtokCU9kJwBFORO0qZnmtJNKCnHAaTsY3kz89gOViiXiXo9S6sfQFyxiBLSRevahJyDggCN8dYo9boIh4ELr9+yqU3OmwIvELUgVFWj07C8vTEgWU6EJB6W6rpNqPwepGeF0XPEyRVMgQ+jTrqECYqr8fHrFGB8bJcRRIs0TGk/V34kcYqVGcWAmY9ADNe9NxP+8bqajSz9nIs00FWS2KMo41gmeVIJDJinRfGQIEMnMXzEZgASiTXEVU4I7f/IiaZ3VXMPvzqv166KOMjpAR+gEuegC1dEtaqAmIugRPaNX9GY9WS/Wu/UxGy1ZRWYf/YH1+QMfA5cL</latexit> <latexit sha1_base64="fxL7LYTqUqBdKCy5QW8uS39coLI=">AAACBXicbVDLSsNAFJ3UV62vqEtdDBbBjSURQTdC0Y3LCvYBTSg3k0k7dDIJMxOhhG7c+CtuXCji1n9w5984bbPQ1gMDh3Pu4c49QcqZ0o7zbZWWlldW18rrlY3Nre0de3evpZJMEtokCU9kJwBFORO0qZnmtJNKCnHAaTsY3kz89gOViiXiXo9S6sfQFyxiBLSRevahJyDggCN8dYo9boIh4ELr9+yqU3OmwIvELUgVFWj07C8vTEgWU6EJB6W6rpNqPwepGeF0XPEyRVMgQ+jTrqECYqr8fHrFGB8bJcRRIs0TGk/V34kcYqVGcWAmY9ADNe9NxP+8bqajSz9nIs00FWS2KMo41gmeVIJDJinRfGQIEMnMXzEZgASiTXEVU4I7f/IiaZ3VXMPvzqv166KOMjpAR+gEuegC1dEtaqAmIugRPaNX9GY9WS/Wu/UxGy1ZRWYf/YH1+QMfA5cL</latexit> <latexit sha1_base64="fxL7LYTqUqBdKCy5QW8uS39coLI=">AAACBXicbVDLSsNAFJ3UV62vqEtdDBbBjSURQTdC0Y3LCvYBTSg3k0k7dDIJMxOhhG7c+CtuXCji1n9w5984bbPQ1gMDh3Pu4c49QcqZ0o7zbZWWlldW18rrlY3Nre0de3evpZJMEtokCU9kJwBFORO0qZnmtJNKCnHAaTsY3kz89gOViiXiXo9S6sfQFyxiBLSRevahJyDggCN8dYo9boIh4ELr9+yqU3OmwIvELUgVFWj07C8vTEgWU6EJB6W6rpNqPwepGeF0XPEyRVMgQ+jTrqECYqr8fHrFGB8bJcRRIs0TGk/V34kcYqVGcWAmY9ADNe9NxP+8bqajSz9nIs00FWS2KMo41gmeVIJDJinRfGQIEMnMXzEZgASiTXEVU4I7f/IiaZ3VXMPvzqv166KOMjpAR+gEuegC1dEtaqAmIugRPaNX9GY9WS/Wu/UxGy1ZRWYf/YH1+QMfA5cL</latexit> <latexit sha1_base64="fxL7LYTqUqBdKCy5QW8uS39coLI=">AAACBXicbVDLSsNAFJ3UV62vqEtdDBbBjSURQTdC0Y3LCvYBTSg3k0k7dDIJMxOhhG7c+CtuXCji1n9w5984bbPQ1gMDh3Pu4c49QcqZ0o7zbZWWlldW18rrlY3Nre0de3evpZJMEtokCU9kJwBFORO0qZnmtJNKCnHAaTsY3kz89gOViiXiXo9S6sfQFyxiBLSRevahJyDggCN8dYo9boIh4ELr9+yqU3OmwIvELUgVFWj07C8vTEgWU6EJB6W6rpNqPwepGeF0XPEyRVMgQ+jTrqECYqr8fHrFGB8bJcRRIs0TGk/V34kcYqVGcWAmY9ADNe9NxP+8bqajSz9nIs00FWS2KMo41gmeVIJDJinRfGQIEMnMXzEZgASiTXEVU4I7f/IiaZ3VXMPvzqv166KOMjpAR+gEuegC1dEtaqAmIugRPaNX9GY9WS/Wu/UxGy1ZRWYf/YH1+QMfA5cL</latexit> g = 0 <latexit sha1_base64="0s7QBn8W1fYtDKGnA1TBLznmNnQ=">AAAB6nicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfQiFL14rGhtoQ1ls92kSzebsDsRSuhP8OJBEa/+Im/+G7dtDtr6wsLDOzPszBukUhh03W+ntLK6tr5R3qxsbe/s7lX3Dx5NkmnGWyyRie4E1HApFG+hQMk7qeY0DiRvB6Obab39xLURiXrAccr9mEZKhIJRtNZ9dOX2qzW37s5ElsEroAaFmv3qV2+QsCzmCpmkxnQ9N0U/pxoFk3xS6WWGp5SNaMS7FhWNufHz2aoTcmKdAQkTbZ9CMnN/T+Q0NmYcB7Yzpjg0i7Wp+V+tm2F46edCpRlyxeYfhZkkmJDp3WQgNGcoxxYo08LuStiQasrQplOxIXiLJy/D41nds3x3XmtcF3GU4QiO4RQ8uIAG3EITWsAggmd4hTdHOi/Ou/Mxby05xcwh/JHz+QO8j41s</latexit> <latexit sha1_base64="0s7QBn8W1fYtDKGnA1TBLznmNnQ=">AAAB6nicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfQiFL14rGhtoQ1ls92kSzebsDsRSuhP8OJBEa/+Im/+G7dtDtr6wsLDOzPszBukUhh03W+ntLK6tr5R3qxsbe/s7lX3Dx5NkmnGWyyRie4E1HApFG+hQMk7qeY0DiRvB6Obab39xLURiXrAccr9mEZKhIJRtNZ9dOX2qzW37s5ElsEroAaFmv3qV2+QsCzmCpmkxnQ9N0U/pxoFk3xS6WWGp5SNaMS7FhWNufHz2aoTcmKdAQkTbZ9CMnN/T+Q0NmYcB7Yzpjg0i7Wp+V+tm2F46edCpRlyxeYfhZkkmJDp3WQgNGcoxxYo08LuStiQasrQplOxIXiLJy/D41nds3x3XmtcF3GU4QiO4RQ8uIAG3EITWsAggmd4hTdHOi/Ou/Mxby05xcwh/JHz+QO8j41s</latexit> <latexit sha1_base64="0s7QBn8W1fYtDKGnA1TBLznmNnQ=">AAAB6nicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfQiFL14rGhtoQ1ls92kSzebsDsRSuhP8OJBEa/+Im/+G7dtDtr6wsLDOzPszBukUhh03W+ntLK6tr5R3qxsbe/s7lX3Dx5NkmnGWyyRie4E1HApFG+hQMk7qeY0DiRvB6Obab39xLURiXrAccr9mEZKhIJRtNZ9dOX2qzW37s5ElsEroAaFmv3qV2+QsCzmCpmkxnQ9N0U/pxoFk3xS6WWGp5SNaMS7FhWNufHz2aoTcmKdAQkTbZ9CMnN/T+Q0NmYcB7Yzpjg0i7Wp+V+tm2F46edCpRlyxeYfhZkkmJDp3WQgNGcoxxYo08LuStiQasrQplOxIXiLJy/D41nds3x3XmtcF3GU4QiO4RQ8uIAG3EITWsAggmd4hTdHOi/Ou/Mxby05xcwh/JHz+QO8j41s</latexit> <latexit sha1_base64="0s7QBn8W1fYtDKGnA1TBLznmNnQ=">AAAB6nicbZBNS8NAEIYn9avWr6pHL4tF8FQSEfQiFL14rGhtoQ1ls92kSzebsDsRSuhP8OJBEa/+Im/+G7dtDtr6wsLDOzPszBukUhh03W+ntLK6tr5R3qxsbe/s7lX3Dx5NkmnGWyyRie4E1HApFG+hQMk7qeY0DiRvB6Obab39xLURiXrAccr9mEZKhIJRtNZ9dOX2qzW37s5ElsEroAaFmv3qV2+QsCzmCpmkxnQ9N0U/pxoFk3xS6WWGp5SNaMS7FhWNufHz2aoTcmKdAQkTbZ9CMnN/T+Q0NmYcB7Yzpjg0i7Wp+V+tm2F46edCpRlyxeYfhZkkmJDp3WQgNGcoxxYo08LuStiQasrQplOxIXiLJy/D41nds3x3XmtcF3GU4QiO4RQ8uIAG3EITWsAggmd4hTdHOi/Ou/Mxby05xcwh/JHz+QO8j41s</latexit> rf = 0 <latexit sha1_base64="i6wBboO4NG7nVj5mfWggrqQGqKg=">AAAB8XicbZC7SgNBFIbPxluMt6ilFoNBsAq7NtoIQRvLBMwFkyWcncwmQ2Znl5lZISx5CxsLRWx9AZ/Dzs5HcXIpNPGHgY//nMOc8weJ4Nq47peTW1ldW9/Ibxa2tnd294r7Bw0dp4qyOo1FrFoBaia4ZHXDjWCtRDGMAsGawfBmUm8+MKV5LO/MKGF+hH3JQ07RWOu+IzEQSMIrt1ssuWV3KrIM3hxKleOP2jcAVLvFz04vpmnEpKECtW57bmL8DJXhVLBxoZNqliAdYp+1LUqMmPaz6cZjcmqdHgljZZ80ZOr+nsgw0noUBbYzQjPQi7WJ+V+tnZrw0s+4TFLDJJ19FKaCmJhMzic9rhg1YmQBqeJ2V0IHqJAaG1LBhuAtnrwMjfOyZ7lm07iGmfJwBCdwBh5cQAVuoQp1oCDhEZ7hxdHOk/PqvM1ac8585hD+yHn/AZ0Xkmw=</latexit> <latexit sha1_base64="EBcZz4Qhcz2fIBuwKjfgLbxt5lw=">AAAB8XicbZBLSgNBEIZr4ivGV9SlIo1BcBVm3OhGCLpxmYBJxGQINZ2epElPz9DdI4SQpTdw40IRt14g53DnGbyEncdCE39o+Piriq76g0RwbVz3y8ksLa+srmXXcxubW9s7+d29mo5TRVmVxiJWdwFqJrhkVcONYHeJYhgFgtWD3vW4Xn9gSvNY3pp+wvwIO5KHnKKx1n1TYiCQhJduK19wi+5EZBG8GRRKh6PK9+PRqNzKfzbbMU0jJg0VqHXDcxPjD1AZTgUb5pqpZgnSHnZYw6LEiGl/MNl4SE6s0yZhrOyThkzc3xMDjLTuR4HtjNB09XxtbP5Xa6QmvPAHXCapYZJOPwpTQUxMxueTNleMGtG3gFRxuyuhXVRIjQ0pZ0Pw5k9ehNpZ0bNcsWlcwVRZOIBjOAUPzqEEN1CGKlCQ8AQv8Opo59l5c96nrRlnNrMPf+R8/AB7XJPS</latexit> <latexit sha1_base64="EBcZz4Qhcz2fIBuwKjfgLbxt5lw=">AAAB8XicbZBLSgNBEIZr4ivGV9SlIo1BcBVm3OhGCLpxmYBJxGQINZ2epElPz9DdI4SQpTdw40IRt14g53DnGbyEncdCE39o+Piriq76g0RwbVz3y8ksLa+srmXXcxubW9s7+d29mo5TRVmVxiJWdwFqJrhkVcONYHeJYhgFgtWD3vW4Xn9gSvNY3pp+wvwIO5KHnKKx1n1TYiCQhJduK19wi+5EZBG8GRRKh6PK9+PRqNzKfzbbMU0jJg0VqHXDcxPjD1AZTgUb5pqpZgnSHnZYw6LEiGl/MNl4SE6s0yZhrOyThkzc3xMDjLTuR4HtjNB09XxtbP5Xa6QmvPAHXCapYZJOPwpTQUxMxueTNleMGtG3gFRxuyuhXVRIjQ0pZ0Pw5k9ehNpZ0bNcsWlcwVRZOIBjOAUPzqEEN1CGKlCQ8AQv8Opo59l5c96nrRlnNrMPf+R8/AB7XJPS</latexit> <latexit sha1_base64="2jek3adgZlMoxExh2C8HvCm+H1s=">AAAB8XicbZBNS8NAEIYn9avWr6hHL4tF8FQSL3oRil48VrAf2IYy2W7apZtN2N0IJfRfePGgiFf/jTf/jds2B219YeHhnRl25g1TwbXxvG+ntLa+sblV3q7s7O7tH7iHRy2dZIqyJk1Eojohaia4ZE3DjWCdVDGMQ8Ha4fh2Vm8/MaV5Ih/MJGVBjEPJI07RWOuxJzEUSKJrr+9WvZo3F1kFv4AqFGr03a/eIKFZzKShArXu+l5qghyV4VSwaaWXaZYiHeOQdS1KjJkO8vnGU3JmnQGJEmWfNGTu/p7IMdZ6Eoe2M0Yz0su1mflfrZuZ6CrIuUwzwyRdfBRlgpiEzM4nA64YNWJiAanidldCR6iQGhtSxYbgL5+8Cq2Lmm/53qvWb4o4ynACp3AOPlxCHe6gAU2gIOEZXuHN0c6L8+58LFpLTjFzDH/kfP4AjR2QJw==</latexit> ͜Ε͸ͭ·ΓɹɹɹɹɹɹͰɹɹɹɹͱ͓͍ͨ΋ͷ ౳੍ࣜ໿ͷ৔߹ͱಉ͡ ౳ࣜͳ͠ͷ৔߹ͱಉ͡ ͜ͷͱ͖͸ rL = 0 <latexit sha1_base64="iM/VzOztCjwZV4pCLgkkIAz6vAE=">AAAB8nicbZC7SgNBFIbPxltcb1FLm8EgWIVdG22CQRsLiwjmApslzE5mkyGzM8vMrBCWgC9hY6GIre9hb+fbOLkUmvjDwMf/n8Occ6KUM20879sprKyurW8UN92t7Z3dvdL+QVPLTBHaIJJL1Y6wppwJ2jDMcNpOFcVJxGkrGl5P8tYDVZpJcW9GKQ0T3BcsZgQbawUdgSOO0S2qet1S2at4U6Fl8OdQvvx0q48AUO+Wvjo9SbKECkM41jrwvdSEOVaGEU7HbifTNMVkiPs0sChwQnWYT0ceoxPr9FAslX3CoKn7uyPHidajJLKVCTYDvZhNzP+yIDPxRZgzkWaGCjL7KM44MhJN9kc9pigxfGQBE8XsrIgMsMLE2Cu59gj+4srL0Dyr+JbvvHLtCmYqwhEcwyn4cA41uIE6NICAhCd4gVfHOM/Om/M+Ky04855D+CPn4wctRJIE</latexit> <latexit sha1_base64="htYnnZ9nWIXl56ReRGgc2tDkWME=">AAAB8nicbZC7SgNBFIZnvcb1FrW0GQyCVdi10SYYtLGwiGAusFnC2clsMmR2ZpmZFcKSx7CxUCSt72FvI76Nk0uhiT8MfPz/Ocw5J0o508bzvp2V1bX1jc3Clru9s7u3Xzw4bGiZKULrRHKpWhFoypmgdcMMp61UUUgiTpvR4GaSNx+p0kyKBzNMaZhAT7CYETDWCtoCIg74Dle8TrHklb2p8DL4cyhdfbiVdPzl1jrFz3ZXkiyhwhAOWge+l5owB2UY4XTktjNNUyAD6NHAooCE6jCfjjzCp9bp4lgq+4TBU/d3Rw6J1sMkspUJmL5ezCbmf1mQmfgyzJlIM0MFmX0UZxwbiSf74y5TlBg+tABEMTsrJn1QQIy9kmuP4C+uvAyN87Jv+d4rVa/RTAV0jE7QGfLRBaqiW1RDdUSQRE/oBb06xnl23pzxrHTFmfccoT9y3n8AHtOTeA==</latexit> <latexit sha1_base64="htYnnZ9nWIXl56ReRGgc2tDkWME=">AAAB8nicbZC7SgNBFIZnvcb1FrW0GQyCVdi10SYYtLGwiGAusFnC2clsMmR2ZpmZFcKSx7CxUCSt72FvI76Nk0uhiT8MfPz/Ocw5J0o508bzvp2V1bX1jc3Clru9s7u3Xzw4bGiZKULrRHKpWhFoypmgdcMMp61UUUgiTpvR4GaSNx+p0kyKBzNMaZhAT7CYETDWCtoCIg74Dle8TrHklb2p8DL4cyhdfbiVdPzl1jrFz3ZXkiyhwhAOWge+l5owB2UY4XTktjNNUyAD6NHAooCE6jCfjjzCp9bp4lgq+4TBU/d3Rw6J1sMkspUJmL5ezCbmf1mQmfgyzJlIM0MFmX0UZxwbiSf74y5TlBg+tABEMTsrJn1QQIy9kmuP4C+uvAyN87Jv+d4rVa/RTAV0jE7QGfLRBaqiW1RDdUSQRE/oBb06xnl23pzxrHTFmfccoT9y3n8AHtOTeA==</latexit> <latexit sha1_base64="vHdVqjZLWZUxMqnttv1xzXqxFc0=">AAAB8nicbZA9SwNBEIb34leMX1FLm8UgWIU7G22EoI2FRQTzAZcjzG32kiV7e8funBCO/AwbC0Vs/TV2/hs3yRWa+MLCwzsz7MwbplIYdN1vp7S2vrG5Vd6u7Ozu7R9UD4/aJsk04y2WyER3QzBcCsVbKFDybqo5xKHknXB8O6t3nrg2IlGPOEl5EMNQiUgwQGv5PQWhBHpPr91+tebW3bnoKngF1EihZr/61RskLIu5QibBGN9zUwxy0CiY5NNKLzM8BTaGIfctKoi5CfL5ylN6Zp0BjRJtn0I6d39P5BAbM4lD2xkDjsxybWb+V/MzjK6CXKg0Q67Y4qMokxQTOrufDoTmDOXEAjAt7K6UjUADQ5tSxYbgLZ+8Cu2Lumf5wa01boo4yuSEnJJz4pFL0iB3pElahJGEPJNX8uag8+K8Ox+L1pJTzByTP3I+fwC9/ZA3</latexit> = 0 <latexit sha1_base64="jeiI02Rq7/ywr2rF7d1BirpJ5h4=">AAAB8XicbZDLSgMxFIbP1Fsdb1WXboJFcFUybnRTLLpxWcFesB1KJpNpQzOZIckIZSj4EG5cKOLWB3HvzrcxvSy09YfAx/+fQ845QSq4Nhh/O4WV1bX1jeKmu7W9s7tX2j9o6iRTlDVoIhLVDohmgkvWMNwI1k4VI3EgWCsYXk/y1gNTmifyzoxS5sekL3nEKTHWuu8KWxoSVMW9UhlX8FRoGbw5lC8/3eojANR7pa9umNAsZtJQQbTueDg1fk6U4VSwsdvNNEsJHZI+61iUJGbaz6cTj9GJdUIUJco+adDU/d2Rk1jrURzYypiYgV7MJuZ/WScz0YWfc5lmhkk6+yjKBDIJmqyPQq4YNWJkgVDF7ayIDogi1NgjufYI3uLKy9A8q3iWb3G5dgUzFeEIjuEUPDiHGtxAHRpAQcITvMCro51n5815n5UWnHnPIfyR8/ED+AyR8Q==</latexit> <latexit sha1_base64="tg2zSoWEiWXCOxO/b1TrdqIBfNc=">AAAB8XicbZDLSgMxFIbPeK3jrerSTbAIrkrGjW6KRTcuK9gLtkPJZDJtaCYzJBmhDH0LNy4U0aUP4t6N+Daml4W2/hD4+P9zyDknSAXXBuNvZ2l5ZXVtvbDhbm5t7+wW9/YbOskUZXWaiES1AqKZ4JLVDTeCtVLFSBwI1gwGV+O8ec+U5om8NcOU+THpSR5xSoy17jrCloYEVXC3WMJlPBFaBG8GpYsPt5K+fbm1bvGzEyY0i5k0VBCt2x5OjZ8TZTgVbOR2Ms1SQgekx9oWJYmZ9vPJxCN0bJ0QRYmyTxo0cX935CTWehgHtjImpq/ns7H5X9bOTHTu51ymmWGSTj+KMoFMgsbro5ArRo0YWiBUcTsron2iCDX2SK49gje/8iI0Tsue5Rtcql7CVAU4hCM4AQ/OoArXUIM6UJDwAE/w7Gjn0XlxXqelS86s5wD+yHn/Aembk2U=</latexit> <latexit 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sha1_base64="HR2nCncxyfdvMybsJoq2Go0LhGw=">AAAB8XicbVDLSsNAFL2pr1pfVZduBovgqiRudCMU3bisYB/YhjKZ3LRDJ5MwMxFK6F+4caGIW//GnX/jtM1CWw8MHM45l7n3BKng2rjut1NaW9/Y3CpvV3Z29/YPqodHbZ1kimGLJSJR3YBqFFxiy3AjsJsqpHEgsBOMb2d+5wmV5ol8MJMU/ZgOJY84o8ZKj31hoyEl1+6gWnPr7hxklXgFqUGB5qD61Q8TlsUoDRNU657npsbPqTKcCZxW+pnGlLIxHWLPUklj1H4+33hKzqwSkihR9klD5urviZzGWk/iwCZjakZ62ZuJ/3m9zERXfs5lmhmUbPFRlAliEjI7n4RcITNiYgllittdCRtRRZmxJVVsCd7yyaukfVH3LL93a42boo4ynMApnIMHl9CAO2hCCxhIeIZXeHO08+K8Ox+LaMkpZo7hD5zPH4jUkCQ=</latexit> g = 0 <latexit 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sha1_base64="cva5URaKFeDx8RDzzznkZOxN6Ps=">AAAB6nicbZDLSgMxFIbPeK31VnWpSLAIrsqMG90IRTcuW7QXaIeSSTPT0CQzJBmhDF26dONCEbc+RJ/Dnc/gS5heFtr6Q+DjP+eQc/4g4Uwb1/1ylpZXVtfWcxv5za3tnd3C3n5dx6kitEZiHqtmgDXlTNKaYYbTZqIoFgGnjaB/M643HqjSLJb3ZpBQX+BIspARbKx1F125nULRLbkToUXwZlAsH42q34/Ho0qn8NnuxiQVVBrCsdYtz02Mn2FlGOF0mG+nmiaY9HFEWxYlFlT72WTVITq1TheFsbJPGjRxf09kWGg9EIHtFNj09HxtbP5Xa6UmvPQzJpPUUEmmH4UpRyZG47tRlylKDB9YwEQxuysiPawwMTadvA3Bmz95EernJc9y1aZxDVPl4BBO4Aw8uIAy3EIFakAggid4gVeHO8/Om/M+bV1yZjMH8EfOxw+pjpET</latexit> <latexit sha1_base64="J66Zi7zKQjHsVDRT4is+4Cv31r8=">AAAB6nicbZBNS8NAEIYn9avWr6pHL4tF8FQSL3oRil48VrQf0Iay2W7SpZtN2J0IJfQnePGgiFd/kTf/jds2B219YeHhnRl25g1SKQy67rdTWlvf2Nwqb1d2dvf2D6qHR22TZJrxFktkorsBNVwKxVsoUPJuqjmNA8k7wfh2Vu88cW1Eoh5xknI/ppESoWAUrfUQXbuDas2tu3ORVfAKqEGh5qD61R8mLIu5QiapMT3PTdHPqUbBJJ9W+pnhKWVjGvGeRUVjbvx8vuqUnFlnSMJE26eQzN3fEzmNjZnEge2MKY7Mcm1m/lfrZRhe+blQaYZcscVHYSYJJmR2NxkKzRnKiQXKtLC7EjaimjK06VRsCN7yyavQvqh7lu/dWuOmiKMMJ3AK5+DBJTTgDprQAgYRPMMrvDnSeXHenY9Fa8kpZo7hj5zPH7tPjWg=</latexit> g < 0 <latexit 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sha1_base64="+Q7bJxmOMGD6oarcDbHqUcjPNcU=">AAAB6nicbZA9T8MwEIYv5auUrwIji0WFxFQlLDAwVLAwFkE/pDaqHNdJrTpOZF+Qqqg/gYUBhFj5RWz8G9w2A7S8kqVH793Jd2+QSmHQdb+d0tr6xuZWebuys7u3f1A9PGqbJNOMt1giE90NqOFSKN5CgZJ3U81pHEjeCca3s3rniWsjEvWIk5T7MY2UCAWjaK2H6NodVGtu3Z2LrIJXQA0KNQfVr/4wYVnMFTJJjel5bop+TjUKJvm00s8MTykb04j3LCoac+Pn81Wn5Mw6QxIm2j6FZO7+nshpbMwkDmxnTHFklmsz879aL8Pwys+FSjPkii0+CjNJMCGzu8lQaM5QTixQpoXdlbAR1ZShTadiQ/CWT16F9kXds3zv1ho3RRxlOIFTOAcPLqEBd9CEFjCI4Ble4c2Rzovz7nwsWktOMXMMf+R8/gC5yo1n</latexit> ͜Ε͸ͭ·ΓKKT৚݅ Ͱ͋Γɺ ͔ͭ ͔ͭ ͱͳΔ఺Λ୳ͤ͹Α͍ ( ( ) ) ·ͨ͸
  43. ϥάϥϯδϡະఆ৐਺๏ ʢҰൠͷ৔߹ʣ Minimize f(x) Subject to g1(x) = 0 g2(x)

    = 0 . . . gl(x) = 0 h1(x)  0 h2(x)  0 . . . hm(x)  0 <latexit sha1_base64="QZ6rLddGtnN3PauTBnkk1Q5a37U=">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</latexit> <latexit sha1_base64="QZ6rLddGtnN3PauTBnkk1Q5a37U=">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</latexit> <latexit sha1_base64="QZ6rLddGtnN3PauTBnkk1Q5a37U=">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</latexit> <latexit sha1_base64="QZ6rLddGtnN3PauTBnkk1Q5a37U=">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</latexit> L(x, , µ) =f(x) + 1g1(x) + 2g2(x) + · · · + lgl(x) + µ1h1(x) + µ2h2(x) + · · · + µ1h1(x) <latexit sha1_base64="9nGstVua6H+YjO3kgqheU8IFRbc=">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</latexit> <latexit sha1_base64="9nGstVua6H+YjO3kgqheU8IFRbc=">AAACtXicbZHfSuQwFMbTqqt23XXUS2+Cw4riIu0g6I0geqPghf9GhWkpaZrOBJOmJKk4lD6aD+Klb+KZsYIz44HSr7/vOyflJCkEN9b33xx3bn7h1+LSsvd75c/f1dba+r1RpaasS5VQ+jEhhgmes67lVrDHQjMiE8Eekqezkf/wzLThKr+zw4JFkvRznnFKLKC49Xq5Eyayeqn/j16hgM6UNB+yrHePt72sSezueY0fB7gfB7O4A7jzDdNUWePtfdkCbPFlh6G3DRFZwrDBxDBAHUA/DZpOx622v++PC8+KoBFt1NRV3HoPU0VLyXJLBTGmF/iFjSqiLaeC1V5YGlYQ+kT6rAcyJ5KZqBqvucb/gKQ4Uxqe3OIx/d5REWnMUCaQlMQOzLQ3gj95vdJmR1HF86K0LKefB2WlwFbh0Z3hlGtGrRiCIFRz+FdMB0QTauFmJ05JZA07CaY3MCvuO/sB6OuD9slps50ltIm20A4K0CE6QefoCnURddrOhXPj3LqHbuSmbvYZdZ2mZwNNlKs+AHr60J4=</latexit> <latexit sha1_base64="9nGstVua6H+YjO3kgqheU8IFRbc=">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</latexit> <latexit sha1_base64="9nGstVua6H+YjO3kgqheU8IFRbc=">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</latexit> rL(x, , µ) = 0, µ1h1(x) = 0, µ2h2(x) = 0, . . . , µlhl(x) = 0, µ1 0, µ2 0, . . . , µl 0, h1(x)  0, h2(x)  0, . . . , hm(x)  0 <latexit 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sha1_base64="5+AbTTZKxUDdvD/DtcI5BJfrWRo=">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</latexit> <latexit sha1_base64="5+AbTTZKxUDdvD/DtcI5BJfrWRo=">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</latexit> ໰୊ ϥάϥϯδϡؔ਺ ৚݅ ʢؔ਺͸͢΂ͯͳΊΒ͔ͱԾఆʣ
  44. αϙʔτϕΫλϚγϯ ʢSVMʣ ͜͜Ͱѻ͏ͷ͸௚ઢͰ׬શʹ෼ྨՄೳͳ৔߹ʢͦΕҎ֎ͷέʔε͸ॻ੶ࢀরʣ ༩͑ΒΕͨ2छྨͷ఺ྻΛ෼ྨ͍ͨ͠ ʢڭࢣ͋Γֶशʣ ೖྗσʔλ X = 0 B

    B B @ xT 1 xT 2 . . . xT n 1 C C C A <latexit sha1_base64="APhOWLCvVZQxB2mK5pQdfIzczf4=">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</latexit> <latexit sha1_base64="APhOWLCvVZQxB2mK5pQdfIzczf4=">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</latexit> <latexit sha1_base64="APhOWLCvVZQxB2mK5pQdfIzczf4=">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</latexit> <latexit sha1_base64="APhOWLCvVZQxB2mK5pQdfIzczf4=">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</latexit> y = 0 B B B @ y1 y2 . . . yn 1 C C C A <latexit sha1_base64="HzSGqVZkoMKE9LAlU/td3WrcdV4=">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</latexit> <latexit sha1_base64="HzSGqVZkoMKE9LAlU/td3WrcdV4=">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</latexit> <latexit sha1_base64="HzSGqVZkoMKE9LAlU/td3WrcdV4=">AAACNnicbVDLSgMxFM3UVx1fVZduBovgqswUQTdK0Y3LCvYBnVIymds2NMkMSaY4DP0bP8JvcKsbN4ILcesnmD4Q23ohl3PPPZd7c4KYUaVd983KrayurW/kN+2t7Z3dvcL+QV1FiSRQIxGLZDPAChgVUNNUM2jGEjAPGDSCwc243xiCVDQS9zqNoc1xT9AuJVgbqlO48gOepaNL2w+gR0UWc6wlfRjZacfzfZPLJvvDMNJqUgrbBxH+yjqFoltyJ+EsA28GimgW1U7hww8jknAQmjCsVMtzY93OsNSUMBjZfqIgxmSAe9AyUGAOqp1N/jlyTgwTOt1Imie0M2H/TmSYK5XywCjNfX212BuT//Vaie5etDMq4kSDINNF3YQ5OnLGpjkhlUA0Sw3ARFJzq0P6WGKijbVzWwI+9sRbdGAZ1Mslz+C7s2LleuZOHh2hY3SKPHSOKugWVVENEfSIntELerWerHfr0/qaSnPWbOYQzYX1/QM09qy9</latexit> <latexit sha1_base64="HzSGqVZkoMKE9LAlU/td3WrcdV4=">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</latexit> ఺ྻ ϥϕϧ yi = 1 or 1 <latexit sha1_base64="jbHw6I5qHMmqfaiD2ogdxx0H+wQ=">AAACDHicbZDLSsNAFIYn9VbrLV52bgaL4MaSiKAboejGZQV7gTaEyXTSDp1cmDkRY8gr+Axude1O3PoOLn0Tp20WtvWsPv7/HP7D78WCK7Csb6O0tLyyulZer2xsbm3vmLt7LRUlkrImjUQkOx5RTPCQNYGDYJ1YMhJ4grW90c3Ybz8wqXgU3kMaMycgg5D7nBLQkmsepC6/OrVxD9gjZDiSOMe2a1atmjUZvAh2AVVUTMM1f3r9iCYBC4EKolTXtmJwMiKBU8HySi9RLCZ0RAasqzEkAVNONvk+x8da6WNfR/tRCHii/r3ISKBUGnh6MyAwVPPeWPzP6ybgXzoZD+MEWEinQX4iMER4XAXuc8koiFQDoZLrXzEdEkko6MJmUrwg153Y8w0sQuusZmu+O6/Wr4t2yugQHaETZKMLVEe3qIGaiKIn9IJe0ZvxbLwbH8bndLVkFDf7aGaMr1+PLpqQ</latexit> <latexit sha1_base64="jbHw6I5qHMmqfaiD2ogdxx0H+wQ=">AAACDHicbZDLSsNAFIYn9VbrLV52bgaL4MaSiKAboejGZQV7gTaEyXTSDp1cmDkRY8gr+Axude1O3PoOLn0Tp20WtvWsPv7/HP7D78WCK7Csb6O0tLyyulZer2xsbm3vmLt7LRUlkrImjUQkOx5RTPCQNYGDYJ1YMhJ4grW90c3Ybz8wqXgU3kMaMycgg5D7nBLQkmsepC6/OrVxD9gjZDiSOMe2a1atmjUZvAh2AVVUTMM1f3r9iCYBC4EKolTXtmJwMiKBU8HySi9RLCZ0RAasqzEkAVNONvk+x8da6WNfR/tRCHii/r3ISKBUGnh6MyAwVPPeWPzP6ybgXzoZD+MEWEinQX4iMER4XAXuc8koiFQDoZLrXzEdEkko6MJmUrwg153Y8w0sQuusZmu+O6/Wr4t2yugQHaETZKMLVEe3qIGaiKIn9IJe0ZvxbLwbH8bndLVkFDf7aGaMr1+PLpqQ</latexit> <latexit 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sha1_base64="jbHw6I5qHMmqfaiD2ogdxx0H+wQ=">AAACDHicbZDLSsNAFIYn9VbrLV52bgaL4MaSiKAboejGZQV7gTaEyXTSDp1cmDkRY8gr+Axude1O3PoOLn0Tp20WtvWsPv7/HP7D78WCK7Csb6O0tLyyulZer2xsbm3vmLt7LRUlkrImjUQkOx5RTPCQNYGDYJ1YMhJ4grW90c3Ybz8wqXgU3kMaMycgg5D7nBLQkmsepC6/OrVxD9gjZDiSOMe2a1atmjUZvAh2AVVUTMM1f3r9iCYBC4EKolTXtmJwMiKBU8HySi9RLCZ0RAasqzEkAVNONvk+x8da6WNfR/tRCHii/r3ISKBUGnh6MyAwVPPeWPzP6ybgXzoZD+MEWEinQX4iMER4XAXuc8koiFQDoZLrXzEdEkko6MJmUrwg153Y8w0sQuusZmu+O6/Wr4t2yugQHaETZKMLVEe3qIGaiKIn9IJe0ZvxbLwbH8bndLVkFDf7aGaMr1+PLpqQ</latexit> ͨͩ͠
  45. min i yi(w0 + wT xi) <latexit sha1_base64="4Fb20Cmi4MF3kq42A6sErdYXqpQ=">AAACGnicbZDLSgMxFIYzXmu9jbp0E1qEilBmRNBl0Y3LCr1Bpw6ZNG1Dk8yQZKzDMHsfwmdwq2t34taNS9/E9LKwrT8EPv5zDufkDyJGlXacb2tldW19YzO3ld/e2d3btw8OGyqMJSZ1HLJQtgKkCKOC1DXVjLQiSRAPGGkGw5txvflApKKhqOkkIh2O+oL2KEbaWL5d8DgVPs0nPoWlke+ceQFPR9l9DY7hMfPpqW8XnbIzEVwGdwZFMFPVt3+8bohjToTGDCnVdp1Id1IkNcWMZHkvViRCeIj6pG1QIE5UJ538JYMnxunCXijNExpO3L8TKeJKJTwwnRzpgVqsjc3/au1Y9646KRVRrInA00W9mEEdwnEwsEslwZolBhCW1NwK8QBJhLWJb25LwDOTibuYwDI0zsuu4buLYuV6lk4OHIMCKAEXXIIKuAVVUAcYPIEX8ArerGfr3fqwPqetK9Zs5gjMyfr6BfRSoLk=</latexit> <latexit sha1_base64="4Fb20Cmi4MF3kq42A6sErdYXqpQ=">AAACGnicbZDLSgMxFIYzXmu9jbp0E1qEilBmRNBl0Y3LCr1Bpw6ZNG1Dk8yQZKzDMHsfwmdwq2t34taNS9/E9LKwrT8EPv5zDufkDyJGlXacb2tldW19YzO3ld/e2d3btw8OGyqMJSZ1HLJQtgKkCKOC1DXVjLQiSRAPGGkGw5txvflApKKhqOkkIh2O+oL2KEbaWL5d8DgVPs0nPoWlke+ceQFPR9l9DY7hMfPpqW8XnbIzEVwGdwZFMFPVt3+8bohjToTGDCnVdp1Id1IkNcWMZHkvViRCeIj6pG1QIE5UJ538JYMnxunCXijNExpO3L8TKeJKJTwwnRzpgVqsjc3/au1Y9646KRVRrInA00W9mEEdwnEwsEslwZolBhCW1NwK8QBJhLWJb25LwDOTibuYwDI0zsuu4buLYuV6lk4OHIMCKAEXXIIKuAVVUAcYPIEX8ArerGfr3fqwPqetK9Zs5gjMyfr6BfRSoLk=</latexit>

    <latexit sha1_base64="4Fb20Cmi4MF3kq42A6sErdYXqpQ=">AAACGnicbZDLSgMxFIYzXmu9jbp0E1qEilBmRNBl0Y3LCr1Bpw6ZNG1Dk8yQZKzDMHsfwmdwq2t34taNS9/E9LKwrT8EPv5zDufkDyJGlXacb2tldW19YzO3ld/e2d3btw8OGyqMJSZ1HLJQtgKkCKOC1DXVjLQiSRAPGGkGw5txvflApKKhqOkkIh2O+oL2KEbaWL5d8DgVPs0nPoWlke+ceQFPR9l9DY7hMfPpqW8XnbIzEVwGdwZFMFPVt3+8bohjToTGDCnVdp1Id1IkNcWMZHkvViRCeIj6pG1QIE5UJ538JYMnxunCXijNExpO3L8TKeJKJTwwnRzpgVqsjc3/au1Y9646KRVRrInA00W9mEEdwnEwsEslwZolBhCW1NwK8QBJhLWJb25LwDOTibuYwDI0zsuu4buLYuV6lk4OHIMCKAEXXIIKuAVVUAcYPIEX8ArerGfr3fqwPqetK9Zs5gjMyfr6BfRSoLk=</latexit> <latexit 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sha1_base64="JorW8gqoFL9CuaKwzMP+ZTgms9k=">AAACAXicbZDLSgMxFIbP1Futt6pLN8EiuJAyI4Iui25cVrAXaIeSSTNtaJIZkoylDF35DG517U7c+iQufRMz7Sxs6w+Bj/+cwzn5g5gzbVz32ymsrW9sbhW3Szu7e/sH5cOjpo4SRWiDRDxS7QBrypmkDcMMp+1YUSwCTlvB6C6rt56o0iySj2YSU1/ggWQhI9hYqzPuuReoG4h0PO2VK27VnQmtgpdDBXLVe+Wfbj8iiaDSEI617nhubPwUK8MIp9NSN9E0xmSEB7RjUWJBtZ/OTp6iM+v0URgp+6RBM/fvRIqF1hMR2E6BzVAv1zLzv1onMeGNnzIZJ4ZKMl8UJhyZCGX/R32mKDF8YgETxeytiAyxwsTYlBa2BCLLxFtOYBWal1XP8sNVpXabp1OEEziFc/DgGmpwD3VoAIEIXuAV3pxn5935cD7nrQUnnzmGBTlfv36hl2o=</latexit>  <latexit sha1_base64="9u1IwgNYDnIn1g+516rR5vqsoE0=">AAAB/HicbZDLSgMxFIbP1Futt6pLN8EiuCozIuiy6MZlBXuBdiiZNNPGJpmQZIQy1Gdwq2t34tZ3cembmLazsK0/BD7+cw7n5I8UZ8b6/rdXWFvf2Nwqbpd2dvf2D8qHR02TpJrQBkl4otsRNpQzSRuWWU7bSlMsIk5b0eh2Wm89UW1YIh/sWNFQ4IFkMSPYOqvZHWGlcK9c8av+TGgVghwqkKveK/90+wlJBZWWcGxMJ/CVDTOsLSOcTkrd1FCFyQgPaMehxIKaMJtdO0FnzumjONHuSYtm7t+JDAtjxiJynQLboVmuTc3/ap3UxtdhxqRKLZVkvihOObIJmn4d9ZmmxPKxA0w0c7ciMsQaE+sCWtgSiYnLJFhOYBWaF9XA8f1lpXaTp1OEEziFcwjgCmpwB3VoAIFHeIFXePOevXfvw/uctxa8fOYYFuR9/QJYqJW1</latexit> <latexit 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sha1_base64="9u1IwgNYDnIn1g+516rR5vqsoE0=">AAAB/HicbZDLSgMxFIbP1Futt6pLN8EiuCozIuiy6MZlBXuBdiiZNNPGJpmQZIQy1Gdwq2t34tZ3cembmLazsK0/BD7+cw7n5I8UZ8b6/rdXWFvf2Nwqbpd2dvf2D8qHR02TpJrQBkl4otsRNpQzSRuWWU7bSlMsIk5b0eh2Wm89UW1YIh/sWNFQ4IFkMSPYOqvZHWGlcK9c8av+TGgVghwqkKveK/90+wlJBZWWcGxMJ/CVDTOsLSOcTkrd1FCFyQgPaMehxIKaMJtdO0FnzumjONHuSYtm7t+JDAtjxiJynQLboVmuTc3/ap3UxtdhxqRKLZVkvihOObIJmn4d9ZmmxPKxA0w0c7ciMsQaE+sCWtgSiYnLJFhOYBWaF9XA8f1lpXaTp1OEEziFcwjgCmpwB3VoAIFHeIFXePOevXfvw/uctxa8fOYYFuR9/QJYqJW1</latexit> <latexit sha1_base64="9u1IwgNYDnIn1g+516rR5vqsoE0=">AAAB/HicbZDLSgMxFIbP1Futt6pLN8EiuCozIuiy6MZlBXuBdiiZNNPGJpmQZIQy1Gdwq2t34tZ3cembmLazsK0/BD7+cw7n5I8UZ8b6/rdXWFvf2Nwqbpd2dvf2D8qHR02TpJrQBkl4otsRNpQzSRuWWU7bSlMsIk5b0eh2Wm89UW1YIh/sWNFQ4IFkMSPYOqvZHWGlcK9c8av+TGgVghwqkKveK/90+wlJBZWWcGxMJ/CVDTOsLSOcTkrd1FCFyQgPaMehxIKaMJtdO0FnzumjONHuSYtm7t+JDAtjxiJynQLboVmuTc3/ap3UxtdhxqRKLZVkvihOObIJmn4d9ZmmxPKxA0w0c7ciMsQaE+sCWtgSiYnLJFhOYBWaF9XA8f1lpXaTp1OEEziFcwjgCmpwB3VoAIFHeIFXePOevXfvw/uctxa8fOYYFuR9/QJYqJW1</latexit> Λ ഒ͢Δͱ໨తؔ਺ ͸ <latexit sha1_base64="9u1IwgNYDnIn1g+516rR5vqsoE0=">AAAB/HicbZDLSgMxFIbP1Futt6pLN8EiuCozIuiy6MZlBXuBdiiZNNPGJpmQZIQy1Gdwq2t34tZ3cembmLazsK0/BD7+cw7n5I8UZ8b6/rdXWFvf2Nwqbpd2dvf2D8qHR02TpJrQBkl4otsRNpQzSRuWWU7bSlMsIk5b0eh2Wm89UW1YIh/sWNFQ4IFkMSPYOqvZHWGlcK9c8av+TGgVghwqkKveK/90+wlJBZWWcGxMJ/CVDTOsLSOcTkrd1FCFyQgPaMehxIKaMJtdO0FnzumjONHuSYtm7t+JDAtjxiJynQLboVmuTc3/ap3UxtdhxqRKLZVkvihOObIJmn4d9ZmmxPKxA0w0c7ciMsQaE+sCWtgSiYnLJFhOYBWaF9XA8f1lpXaTp1OEEziFcwjgCmpwB3VoAIFHeIFXePOevXfvw/uctxa8fOYYFuR9/QJYqJW1</latexit> <latexit sha1_base64="9u1IwgNYDnIn1g+516rR5vqsoE0=">AAAB/HicbZDLSgMxFIbP1Futt6pLN8EiuCozIuiy6MZlBXuBdiiZNNPGJpmQZIQy1Gdwq2t34tZ3cembmLazsK0/BD7+cw7n5I8UZ8b6/rdXWFvf2Nwqbpd2dvf2D8qHR02TpJrQBkl4otsRNpQzSRuWWU7bSlMsIk5b0eh2Wm89UW1YIh/sWNFQ4IFkMSPYOqvZHWGlcK9c8av+TGgVghwqkKveK/90+wlJBZWWcGxMJ/CVDTOsLSOcTkrd1FCFyQgPaMehxIKaMJtdO0FnzumjONHuSYtm7t+JDAtjxiJynQLboVmuTc3/ap3UxtdhxqRKLZVkvihOObIJmn4d9ZmmxPKxA0w0c7ciMsQaE+sCWtgSiYnLJFhOYBWaF9XA8f1lpXaTp1OEEziFcwjgCmpwB3VoAIFHeIFXePOevXfvw/uctxa8fOYYFuR9/QJYqJW1</latexit> <latexit sha1_base64="9u1IwgNYDnIn1g+516rR5vqsoE0=">AAAB/HicbZDLSgMxFIbP1Futt6pLN8EiuCozIuiy6MZlBXuBdiiZNNPGJpmQZIQy1Gdwq2t34tZ3cembmLazsK0/BD7+cw7n5I8UZ8b6/rdXWFvf2Nwqbpd2dvf2D8qHR02TpJrQBkl4otsRNpQzSRuWWU7bSlMsIk5b0eh2Wm89UW1YIh/sWNFQ4IFkMSPYOqvZHWGlcK9c8av+TGgVghwqkKveK/90+wlJBZWWcGxMJ/CVDTOsLSOcTkrd1FCFyQgPaMehxIKaMJtdO0FnzumjONHuSYtm7t+JDAtjxiJynQLboVmuTc3/ap3UxtdhxqRKLZVkvihOObIJmn4d9ZmmxPKxA0w0c7ciMsQaE+sCWtgSiYnLJFhOYBWaF9XA8f1lpXaTp1OEEziFcwjgCmpwB3VoAIFHeIFXePOevXfvw/uctxa8fOYYFuR9/QJYqJW1</latexit> <latexit 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sha1_base64="tQI0nKqiAMm0DC0CEz77GCTLX5g=">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</latexit> min i yi(w0 + wT xi) <latexit 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sha1_base64="4Fb20Cmi4MF3kq42A6sErdYXqpQ=">AAACGnicbZDLSgMxFIYzXmu9jbp0E1qEilBmRNBl0Y3LCr1Bpw6ZNG1Dk8yQZKzDMHsfwmdwq2t34taNS9/E9LKwrT8EPv5zDufkDyJGlXacb2tldW19YzO3ld/e2d3btw8OGyqMJSZ1HLJQtgKkCKOC1DXVjLQiSRAPGGkGw5txvflApKKhqOkkIh2O+oL2KEbaWL5d8DgVPs0nPoWlke+ceQFPR9l9DY7hMfPpqW8XnbIzEVwGdwZFMFPVt3+8bohjToTGDCnVdp1Id1IkNcWMZHkvViRCeIj6pG1QIE5UJ538JYMnxunCXijNExpO3L8TKeJKJTwwnRzpgVqsjc3/au1Y9646KRVRrInA00W9mEEdwnEwsEslwZolBhCW1NwK8QBJhLWJb25LwDOTibuYwDI0zsuu4buLYuV6lk4OHIMCKAEXXIIKuAVVUAcYPIEX8ArerGfr3fqwPqetK9Zs5gjMyfr6BfRSoLk=</latexit> <latexit 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sha1_base64="QJOYeSCLbkZHgyoYt58+qNMf16w=">AAAB6HicbZBLSwMxFIXv1FetVevaTbAIrsqMG10KblxWsA9oh5LJ3GlD8xiSjFKG/gG3rt2J/8ml/8T0sbDWA4GPcxLuzUlywa0Lw6+gsrO7t39QPawd1WvHJ6eNetfqwjDsMC206SfUouAKO447gf3cIJWJwF4yvV/kvWc0lmv15GY5xpKOFc84o85b7VGjGbbCpcg2RGtowlqjxvcw1ayQqBwT1NpBFOYuLqlxnAmc14aFxZyyKR3jwKOiEm1cLteck0vvpCTTxh/lyNL9/aKk0tqZTPxNSd3E/s0W5n/ZoHDZbVxylRcOFVsNygpBnCaLP5OUG2ROzDxQZrjflbAJNZQ538zGlETOfSXR3wK2oXvdijw/hlCFc7iAK4jgBu7gAdrQAQYpvMJb8BK8Bx+r6irBusMz2FDw+QN9JZC/</latexit> <latexit sha1_base64="czOWv5TZlClqwzVB96j3BHi5sG8=">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</latexit> <latexit sha1_base64="czOWv5TZlClqwzVB96j3BHi5sG8=">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</latexit> <latexit sha1_base64="S7upaQkNzl593oJaOVByEI9ROZ4=">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</latexit> <latexit sha1_base64="Xr1CAxW3jnm10R7yOTbqS7a7MJQ=">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</latexit> <latexit sha1_base64="Xr1CAxW3jnm10R7yOTbqS7a7MJQ=">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</latexit> <latexit sha1_base64="Xr1CAxW3jnm10R7yOTbqS7a7MJQ=">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</latexit> <latexit sha1_base64="Xr1CAxW3jnm10R7yOTbqS7a7MJQ=">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</latexit> <latexit sha1_base64="Xr1CAxW3jnm10R7yOTbqS7a7MJQ=">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</latexit> <latexit sha1_base64="Xr1CAxW3jnm10R7yOTbqS7a7MJQ=">AAAC0nicjVFNb9QwEHXCVwlfCxy5WKyoikBVgpDggrSCCxekIu1uK62XyPFOWqu2E9kT2q2VQ9Vr/2C58U9wdnOgLSBGsvQ8M89v/KaolXSYphdRfOPmrdt3Nu4m9+4/ePho8PjJ1FWNFTARlarsXsEdKGlgghIV7NUWuC4U7BaHn7r67newTlZmjMsa5prvG1lKwTGk8sGPTdaYRWgA9Ed5+poV2h+1rWea44HV/gs/llqeQNtSpqXJZcJKy4Vf5pJuBcKrNeHbmHbguM3ly0BWU7BI1yXKbHdrGUs2PyT/rdbrZH95Lemn+ccc+WCYbqeroNdB1oMh6WMnH/xki0o0GgwKxZ2bZWmNc88tSqEgSDYOai4O+T7MAjRcg5v71Q5a+iJkFrSsbDgG6Sr7O8Nz7dxSF6Gz+6y7WuuSf6rNGizfz700dYNgxFqobBTFinYLpQtpQaBaBsCFlWFWKg548A6Dz5dUCt0GT7KrDlwH0zfbWcBf3w5HH3t3Nsgz8pxskYy8IyPymeyQCRHRKCqjKqrjcXwSn8Zn69Y46jlPyaWIz38Bs0/lag==</latexit> Ϛʔδϯ࠷େԽΛࣜͰද͢ͱ
  46. Minimize w0,w 1 2 kwk2 Subject to yi(w0 + wT

    xi) 1 <latexit sha1_base64="DEFFqopt32UTxL62WpELVZW66XQ=">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</latexit> <latexit sha1_base64="DEFFqopt32UTxL62WpELVZW66XQ=">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</latexit> <latexit sha1_base64="DEFFqopt32UTxL62WpELVZW66XQ=">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</latexit> <latexit sha1_base64="DEFFqopt32UTxL62WpELVZW66XQ=">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</latexit> L(w0, w, a) = 1 2 kwk2 n X i=1 ai yi(w0 + wT xi) 1 <latexit sha1_base64="y2v1+jobBmRmHNnwzcyu4lh7AnA=">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</latexit> <latexit sha1_base64="y2v1+jobBmRmHNnwzcyu4lh7AnA=">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</latexit> <latexit sha1_base64="y2v1+jobBmRmHNnwzcyu4lh7AnA=">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</latexit> <latexit sha1_base64="y2v1+jobBmRmHNnwzcyu4lh7AnA=">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</latexit> ai 0 yi(w0 + wT xi) 1 0 ai yi(w0 + wT xi) 1 = 0 <latexit sha1_base64="7vfYCWMbi7YcOx9M8btrgHUNVDk=">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</latexit> <latexit sha1_base64="7vfYCWMbi7YcOx9M8btrgHUNVDk=">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</latexit> <latexit sha1_base64="7vfYCWMbi7YcOx9M8btrgHUNVDk=">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</latexit> <latexit sha1_base64="7vfYCWMbi7YcOx9M8btrgHUNVDk=">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</latexit> ϥάϥϯδϡؔ਺ KKT৚݅
  47. Λܭࢉ͠ rL = 0 <latexit sha1_base64="YkOYHchWm9XKsA2g/L2DF6/lCok=">AAACAHicbZA9SwNBEIbn4leMX1FLm8UgWIU7EbQRgjYWFhHMByZHmNvsJUv29o7dPSGENP4GW63txNZ/Yuk/cZNcYRJfWHh4Z4aZfYNEcG1c99vJrayurW/kNwtb2zu7e8X9g7qOU0VZjcYiVs0ANRNcsprhRrBmohhGgWCNYHAzqTeemNI8lg9mmDA/wp7kIadorPXYlhgIJHdXbqdYcsvuVGQZvAxKkKnaKf60uzFNIyYNFah1y3MT449QGU4FGxfaqWYJ0gH2WMuixIhpfzS9eExOrNMlYazsk4ZM3b8TI4y0HkaB7YzQ9PVibWL+V2ulJrz0R1wmqWGSzhaFqSAmJpPvky5XjBoxtIBUcXsroX1USI0NaW5LEI1tJt5iAstQPyt7lu/PS5XrLJ08HMExnIIHF1CBW6hCDShIeIFXeHOenXfnw/mcteacbOYQ5uR8/QI1TZan</latexit> <latexit sha1_base64="YkOYHchWm9XKsA2g/L2DF6/lCok=">AAACAHicbZA9SwNBEIbn4leMX1FLm8UgWIU7EbQRgjYWFhHMByZHmNvsJUv29o7dPSGENP4GW63txNZ/Yuk/cZNcYRJfWHh4Z4aZfYNEcG1c99vJrayurW/kNwtb2zu7e8X9g7qOU0VZjcYiVs0ANRNcsprhRrBmohhGgWCNYHAzqTeemNI8lg9mmDA/wp7kIadorPXYlhgIJHdXbqdYcsvuVGQZvAxKkKnaKf60uzFNIyYNFah1y3MT449QGU4FGxfaqWYJ0gH2WMuixIhpfzS9eExOrNMlYazsk4ZM3b8TI4y0HkaB7YzQ9PVibWL+V2ulJrz0R1wmqWGSzhaFqSAmJpPvky5XjBoxtIBUcXsroX1USI0NaW5LEI1tJt5iAstQPyt7lu/PS5XrLJ08HMExnIIHF1CBW6hCDShIeIFXeHOenXfnw/mcteacbOYQ5uR8/QI1TZan</latexit> <latexit sha1_base64="YkOYHchWm9XKsA2g/L2DF6/lCok=">AAACAHicbZA9SwNBEIbn4leMX1FLm8UgWIU7EbQRgjYWFhHMByZHmNvsJUv29o7dPSGENP4GW63txNZ/Yuk/cZNcYRJfWHh4Z4aZfYNEcG1c99vJrayurW/kNwtb2zu7e8X9g7qOU0VZjcYiVs0ANRNcsprhRrBmohhGgWCNYHAzqTeemNI8lg9mmDA/wp7kIadorPXYlhgIJHdXbqdYcsvuVGQZvAxKkKnaKf60uzFNIyYNFah1y3MT449QGU4FGxfaqWYJ0gH2WMuixIhpfzS9eExOrNMlYazsk4ZM3b8TI4y0HkaB7YzQ9PVibWL+V2ulJrz0R1wmqWGSzhaFqSAmJpPvky5XjBoxtIBUcXsroX1USI0NaW5LEI1tJt5iAstQPyt7lu/PS5XrLJ08HMExnIIHF1CBW6hCDShIeIFXeHOenXfnw/mcteacbOYQ5uR8/QI1TZan</latexit>

    <latexit sha1_base64="YkOYHchWm9XKsA2g/L2DF6/lCok=">AAACAHicbZA9SwNBEIbn4leMX1FLm8UgWIU7EbQRgjYWFhHMByZHmNvsJUv29o7dPSGENP4GW63txNZ/Yuk/cZNcYRJfWHh4Z4aZfYNEcG1c99vJrayurW/kNwtb2zu7e8X9g7qOU0VZjcYiVs0ANRNcsprhRrBmohhGgWCNYHAzqTeemNI8lg9mmDA/wp7kIadorPXYlhgIJHdXbqdYcsvuVGQZvAxKkKnaKf60uzFNIyYNFah1y3MT449QGU4FGxfaqWYJ0gH2WMuixIhpfzS9eExOrNMlYazsk4ZM3b8TI4y0HkaB7YzQ9PVibWL+V2ulJrz0R1wmqWGSzhaFqSAmJpPvky5XjBoxtIBUcXsroX1USI0NaW5LEI1tJt5iAstQPyt7lu/PS5XrLJ08HMExnIIHF1CBW6hCDShIeIFXeHOenXfnw/mcteacbOYQ5uR8/QI1TZan</latexit> L = n X k=1 ak 1 2 n X k=1 n X l=1 akalykylxT k xl <latexit sha1_base64="gfQhcMmvbB35TfFv96lOsBECpkA=">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</latexit> <latexit sha1_base64="gfQhcMmvbB35TfFv96lOsBECpkA=">AAACTHicbVDLSgMxFM3UV62vqks3wSK4scyIoJtC0Y0LFxX6gj6GTJppwySZIcmIwzA/5ke4d6dLXbsTwfSB2NYLN/fknHu5yfEiRpW27Rcrt7K6tr6R3yxsbe/s7hX3D5oqjCUmDRyyULY9pAijgjQ01Yy0I0kQ9xhpecHNWG89EKloKOo6iUiPo6GgPsVIG8ot1u8qXRVzNw0qTtYXELlB4azQ9SXCqZOl51lhTp5e2G+vSQYTUxNTH92gXzcnc4slu2xPAi4DZwZKYBY1t/jWHYQ45kRozJBSHceOdC9FUlPMiHlDrEiEcICGpGOgQJyoXjr5fQZPDDOAfihNCg0n7N+JFHGlEu6ZTo70SC1qY/I/rRNr/6qXUhHFmgg8XeTHDOoQjq2EAyoJ1iwxAGFJzVshHiHjnDaGz23xeGY8cRYdWAbN87Jj8P1FqXo9cycPjsAxOAUOuARVcAtqoAEweAKv4B18WM/Wp/VlfU9bc9Zs5hDMRW79B3EdsvE=</latexit> <latexit sha1_base64="gfQhcMmvbB35TfFv96lOsBECpkA=">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</latexit> <latexit sha1_base64="gfQhcMmvbB35TfFv96lOsBECpkA=">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</latexit> ʢܭࢉաఔͷৄࡉʹ͍ͭͯ͸ॻ੶ࢀরʣ n X i=1 aiyi = 0 <latexit sha1_base64="PF61xKvXN2kGlTsZpHkKVgyfdkE=">AAACDnicbZDLSsNAFIYn9VbrLSq4cTNYBFclEUE3haIblxXsBdoYJtNJO3RmEmYmQoh5B5/Bra7diVtfwaVv4rTNwrb+cODjP+dwDn8QM6q043xbpZXVtfWN8mZla3tnd8/eP2irKJGYtHDEItkNkCKMCtLSVDPSjSVBPGCkE4xvJv3OI5GKRuJepzHxOBoKGlKMtLF8+6ivEu5ntO7mDwIin8LUp3XHt6tOzZkKLoNbQBUUavr2T38Q4YQToTFDSvVcJ9ZehqSmmJG80k8UiREeoyHpGRSIE+Vl0/9zeGqcAQwjaUpoOHX/bmSIK5XywExypEdqsTcx/+v1Eh1eeRkVcaKJwLNDYcKgjuAkDDigkmDNUgMIS2p+hXiEJMLaRDZ3JeC5ycRdTGAZ2uc11/DdRbVxXaRTBsfgBJwBF1yCBrgFTdACGDyBF/AK3qxn6936sD5noyWr2DkEc7K+fgHgj5vf</latexit> <latexit sha1_base64="PF61xKvXN2kGlTsZpHkKVgyfdkE=">AAACDnicbZDLSsNAFIYn9VbrLSq4cTNYBFclEUE3haIblxXsBdoYJtNJO3RmEmYmQoh5B5/Bra7diVtfwaVv4rTNwrb+cODjP+dwDn8QM6q043xbpZXVtfWN8mZla3tnd8/eP2irKJGYtHDEItkNkCKMCtLSVDPSjSVBPGCkE4xvJv3OI5GKRuJepzHxOBoKGlKMtLF8+6ivEu5ntO7mDwIin8LUp3XHt6tOzZkKLoNbQBUUavr2T38Q4YQToTFDSvVcJ9ZehqSmmJG80k8UiREeoyHpGRSIE+Vl0/9zeGqcAQwjaUpoOHX/bmSIK5XywExypEdqsTcx/+v1Eh1eeRkVcaKJwLNDYcKgjuAkDDigkmDNUgMIS2p+hXiEJMLaRDZ3JeC5ycRdTGAZ2uc11/DdRbVxXaRTBsfgBJwBF1yCBrgFTdACGDyBF/AK3qxn6936sD5noyWr2DkEc7K+fgHgj5vf</latexit> <latexit sha1_base64="PF61xKvXN2kGlTsZpHkKVgyfdkE=">AAACDnicbZDLSsNAFIYn9VbrLSq4cTNYBFclEUE3haIblxXsBdoYJtNJO3RmEmYmQoh5B5/Bra7diVtfwaVv4rTNwrb+cODjP+dwDn8QM6q043xbpZXVtfWN8mZla3tnd8/eP2irKJGYtHDEItkNkCKMCtLSVDPSjSVBPGCkE4xvJv3OI5GKRuJepzHxOBoKGlKMtLF8+6ivEu5ntO7mDwIin8LUp3XHt6tOzZkKLoNbQBUUavr2T38Q4YQToTFDSvVcJ9ZehqSmmJG80k8UiREeoyHpGRSIE+Vl0/9zeGqcAQwjaUpoOHX/bmSIK5XywExypEdqsTcx/+v1Eh1eeRkVcaKJwLNDYcKgjuAkDDigkmDNUgMIS2p+hXiEJMLaRDZ3JeC5ycRdTGAZ2uc11/DdRbVxXaRTBsfgBJwBF1yCBrgFTdACGDyBF/AK3qxn6936sD5noyWr2DkEc7K+fgHgj5vf</latexit> <latexit sha1_base64="PF61xKvXN2kGlTsZpHkKVgyfdkE=">AAACDnicbZDLSsNAFIYn9VbrLSq4cTNYBFclEUE3haIblxXsBdoYJtNJO3RmEmYmQoh5B5/Bra7diVtfwaVv4rTNwrb+cODjP+dwDn8QM6q043xbpZXVtfWN8mZla3tnd8/eP2irKJGYtHDEItkNkCKMCtLSVDPSjSVBPGCkE4xvJv3OI5GKRuJepzHxOBoKGlKMtLF8+6ivEu5ntO7mDwIin8LUp3XHt6tOzZkKLoNbQBUUavr2T38Q4YQToTFDSvVcJ9ZehqSmmJG80k8UiREeoyHpGRSIE+Vl0/9zeGqcAQwjaUpoOHX/bmSIK5XywExypEdqsTcx/+v1Eh1eeRkVcaKJwLNDYcKgjuAkDDigkmDNUgMIS2p+hXiEJMLaRDZ3JeC5ycRdTGAZ2uc11/DdRbVxXaRTBsfgBJwBF1yCBrgFTdACGDyBF/AK3qxn6936sD5noyWr2DkEc7K+fgHgj5vf</latexit> ͕ಋ͔ΕΔ ͱ Maximize f(a) = n X k=1 ak 1 2 n X k=1 n X l=1 akalykylxT k xl Subject to n X i=1 aiyi = 0 ai 0 ai yi(w0 + wT xi) 1 = 0 <latexit sha1_base64="gf007rii1Q+ZMNqMPr2bBTiJ0S4=">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</latexit> <latexit sha1_base64="gf007rii1Q+ZMNqMPr2bBTiJ0S4=">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</latexit> <latexit sha1_base64="gf007rii1Q+ZMNqMPr2bBTiJ0S4=">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</latexit> <latexit sha1_base64="gf007rii1Q+ZMNqMPr2bBTiJ0S4=">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</latexit> ͭ·Γ࣍Λղ͚͹͍͍͜ͱʹͳΔ ͜Ε͸ೋ࣍ܭը໰୊
  48. Maximize f(a) = n X k=1 ak 1 2 n

    X k=1 n X l=1 akalykylxT k xl Subject to n X i=1 aiyi = 0 ai 0 ai yi(w0 + wT xi) 1 = 0 <latexit sha1_base64="gf007rii1Q+ZMNqMPr2bBTiJ0S4=">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</latexit> <latexit sha1_base64="gf007rii1Q+ZMNqMPr2bBTiJ0S4=">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</latexit> <latexit sha1_base64="gf007rii1Q+ZMNqMPr2bBTiJ0S4=">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</latexit> <latexit sha1_base64="gf007rii1Q+ZMNqMPr2bBTiJ0S4=">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</latexit> ͜ͷղ͖ํɿ Ұൠͷೋ࣍ܭը໰୊ͷղ์Ͱ͸ͳ͘ɺ͜ͷ໰୊ಛ༗ͷੑ࣭Λར༻ ΞϧΰϦζϜ֓ཁɿ ҎԼΛ܁Γฦ͢ ɾ໨తؔ਺ͷվળʹد༩͢ΔʮΑ͍ʯ Λબ୒ ɾ Λߋ৽ i, j <latexit sha1_base64="oKou7Sybgr+pq1AA2jpYvAvTdk0=">AAAB+XicbZC7SgNBFIbPxluMt6ilzWAQLCTsiqBl0MYyorlAsoTZyWwyZi7LzKwQljyCrdZ2YuvTWPomTpItTPSHgY//nMM580cJZ8b6/pdXWFldW98obpa2tnd298r7B02jUk1ogyiudDvChnImacMyy2k70RSLiNNWNLqZ1ltPVBum5IMdJzQUeCBZzAi2zrpnZ4+9csWv+jOhvxDkUIFc9V75u9tXJBVUWsKxMZ3AT2yYYW0Z4XRS6qaGJpiM8IB2HEosqAmz2akTdOKcPoqVdk9aNHN/T2RYGDMWkesU2A7Ncm1q/lfrpDa+CjMmk9RSSeaL4pQjq9D036jPNCWWjx1gopm7FZEh1phYl87ClkhMXCbBcgJ/oXleDRzfXVRq13k6RTiCYziFAC6hBrdQhwYQGMAzvMCrl3lv3rv3MW8tePnMISzI+/wBqsWULQ==</latexit> <latexit sha1_base64="oKou7Sybgr+pq1AA2jpYvAvTdk0=">AAAB+XicbZC7SgNBFIbPxluMt6ilzWAQLCTsiqBl0MYyorlAsoTZyWwyZi7LzKwQljyCrdZ2YuvTWPomTpItTPSHgY//nMM580cJZ8b6/pdXWFldW98obpa2tnd298r7B02jUk1ogyiudDvChnImacMyy2k70RSLiNNWNLqZ1ltPVBum5IMdJzQUeCBZzAi2zrpnZ4+9csWv+jOhvxDkUIFc9V75u9tXJBVUWsKxMZ3AT2yYYW0Z4XRS6qaGJpiM8IB2HEosqAmz2akTdOKcPoqVdk9aNHN/T2RYGDMWkesU2A7Ncm1q/lfrpDa+CjMmk9RSSeaL4pQjq9D036jPNCWWjx1gopm7FZEh1phYl87ClkhMXCbBcgJ/oXleDRzfXVRq13k6RTiCYziFAC6hBrdQhwYQGMAzvMCrl3lv3rv3MW8tePnMISzI+/wBqsWULQ==</latexit> <latexit sha1_base64="oKou7Sybgr+pq1AA2jpYvAvTdk0=">AAAB+XicbZC7SgNBFIbPxluMt6ilzWAQLCTsiqBl0MYyorlAsoTZyWwyZi7LzKwQljyCrdZ2YuvTWPomTpItTPSHgY//nMM580cJZ8b6/pdXWFldW98obpa2tnd298r7B02jUk1ogyiudDvChnImacMyy2k70RSLiNNWNLqZ1ltPVBum5IMdJzQUeCBZzAi2zrpnZ4+9csWv+jOhvxDkUIFc9V75u9tXJBVUWsKxMZ3AT2yYYW0Z4XRS6qaGJpiM8IB2HEosqAmz2akTdOKcPoqVdk9aNHN/T2RYGDMWkesU2A7Ncm1q/lfrpDa+CjMmk9RSSeaL4pQjq9D036jPNCWWjx1gopm7FZEh1phYl87ClkhMXCbBcgJ/oXleDRzfXVRq13k6RTiCYziFAC6hBrdQhwYQGMAzvMCrl3lv3rv3MW8tePnMISzI+/wBqsWULQ==</latexit> <latexit sha1_base64="oKou7Sybgr+pq1AA2jpYvAvTdk0=">AAAB+XicbZC7SgNBFIbPxluMt6ilzWAQLCTsiqBl0MYyorlAsoTZyWwyZi7LzKwQljyCrdZ2YuvTWPomTpItTPSHgY//nMM580cJZ8b6/pdXWFldW98obpa2tnd298r7B02jUk1ogyiudDvChnImacMyy2k70RSLiNNWNLqZ1ltPVBum5IMdJzQUeCBZzAi2zrpnZ4+9csWv+jOhvxDkUIFc9V75u9tXJBVUWsKxMZ3AT2yYYW0Z4XRS6qaGJpiM8IB2HEosqAmz2akTdOKcPoqVdk9aNHN/T2RYGDMWkesU2A7Ncm1q/lfrpDa+CjMmk9RSSeaL4pQjq9D036jPNCWWjx1gopm7FZEh1phYl87ClkhMXCbBcgJ/oXleDRzfXVRq13k6RTiCYziFAC6hBrdQhwYQGMAzvMCrl3lv3rv3MW8tePnMISzI+/wBqsWULQ==</latexit> ai, aj <latexit sha1_base64="js//6W+NCvOc18ZDI8lzH4Jskrg=">AAAB/nicbZA9SwNBEIbn/IzxK2ppsxgECwl3ImgZtLGMYD4gOY65zV6yZvfu2N0TQgj4G2y1thNb/4ql/8RNcoVJfGHh4Z0ZZvYNU8G1cd1vZ2V1bX1js7BV3N7Z3dsvHRw2dJIpyuo0EYlqhaiZ4DGrG24Ea6WKoQwFa4aD20m9+cSU5kn8YIYp8yX2Yh5xisZaLQz4OcHgMSiV3Yo7FVkGL4cy5KoFpZ9ON6GZZLGhArVue25q/BEqw6lg42In0yxFOsAea1uMUTLtj6b3jsmpdbokSpR9sSFT9+/ECKXWQxnaTommrxdrE/O/Wjsz0bU/4nGaGRbT2aIoE8QkZPJ50uWKUSOGFpAqbm8ltI8KqbERzW0J5dhm4i0msAyNi4pn+f6yXL3J0ynAMZzAGXhwBVW4gxrUgYKAF3iFN+fZeXc+nM9Z64qTzxzBnJyvX/ralf8=</latexit> <latexit sha1_base64="js//6W+NCvOc18ZDI8lzH4Jskrg=">AAAB/nicbZA9SwNBEIbn/IzxK2ppsxgECwl3ImgZtLGMYD4gOY65zV6yZvfu2N0TQgj4G2y1thNb/4ql/8RNcoVJfGHh4Z0ZZvYNU8G1cd1vZ2V1bX1js7BV3N7Z3dsvHRw2dJIpyuo0EYlqhaiZ4DGrG24Ea6WKoQwFa4aD20m9+cSU5kn8YIYp8yX2Yh5xisZaLQz4OcHgMSiV3Yo7FVkGL4cy5KoFpZ9ON6GZZLGhArVue25q/BEqw6lg42In0yxFOsAea1uMUTLtj6b3jsmpdbokSpR9sSFT9+/ECKXWQxnaTommrxdrE/O/Wjsz0bU/4nGaGRbT2aIoE8QkZPJ50uWKUSOGFpAqbm8ltI8KqbERzW0J5dhm4i0msAyNi4pn+f6yXL3J0ynAMZzAGXhwBVW4gxrUgYKAF3iFN+fZeXc+nM9Z64qTzxzBnJyvX/ralf8=</latexit> <latexit sha1_base64="js//6W+NCvOc18ZDI8lzH4Jskrg=">AAAB/nicbZA9SwNBEIbn/IzxK2ppsxgECwl3ImgZtLGMYD4gOY65zV6yZvfu2N0TQgj4G2y1thNb/4ql/8RNcoVJfGHh4Z0ZZvYNU8G1cd1vZ2V1bX1js7BV3N7Z3dsvHRw2dJIpyuo0EYlqhaiZ4DGrG24Ea6WKoQwFa4aD20m9+cSU5kn8YIYp8yX2Yh5xisZaLQz4OcHgMSiV3Yo7FVkGL4cy5KoFpZ9ON6GZZLGhArVue25q/BEqw6lg42In0yxFOsAea1uMUTLtj6b3jsmpdbokSpR9sSFT9+/ECKXWQxnaTommrxdrE/O/Wjsz0bU/4nGaGRbT2aIoE8QkZPJ50uWKUSOGFpAqbm8ltI8KqbERzW0J5dhm4i0msAyNi4pn+f6yXL3J0ynAMZzAGXhwBVW4gxrUgYKAF3iFN+fZeXc+nM9Z64qTzxzBnJyvX/ralf8=</latexit> <latexit sha1_base64="js//6W+NCvOc18ZDI8lzH4Jskrg=">AAAB/nicbZA9SwNBEIbn/IzxK2ppsxgECwl3ImgZtLGMYD4gOY65zV6yZvfu2N0TQgj4G2y1thNb/4ql/8RNcoVJfGHh4Z0ZZvYNU8G1cd1vZ2V1bX1js7BV3N7Z3dsvHRw2dJIpyuo0EYlqhaiZ4DGrG24Ea6WKoQwFa4aD20m9+cSU5kn8YIYp8yX2Yh5xisZaLQz4OcHgMSiV3Yo7FVkGL4cy5KoFpZ9ON6GZZLGhArVue25q/BEqw6lg42In0yxFOsAea1uMUTLtj6b3jsmpdbokSpR9sSFT9+/ECKXWQxnaTommrxdrE/O/Wjsz0bU/4nGaGRbT2aIoE8QkZPJ50uWKUSOGFpAqbm8ltI8KqbERzW0J5dhm4i0msAyNi4pn+f6yXL3J0ynAMZzAGXhwBVW4gxrUgYKAF3iFN+fZeXc+nM9Z64qTzxzBnJyvX/ralf8=</latexit>
  49. ·ͱΊ • ਺ֶ͸σʔλαΠΤϯςΟετͷඞਢ஌ࣝͰ͸ͳ͍ • ͔͠͠ػցֶशͷத਎ΛΘ͔͍ͬͯΔ͜ͱ͸ࠩผԽʹͳ Δ • ໘ന͍ͱࢥ͏ͳΒ΍ͬͯΈΔՁ஋͸͋Δ ʢ͔͠͠ਂ෵ʹ͸·Δͱਓੜ͕ఀ଺͢Δ͔΋͠Εͳ͍…ʣ

  50. ػցֶशͷͨΊͷ ਺ֶษڧ๏ͷఏҊ • ಛʹઢܗ୅਺͸ͪΌΜͱͨ͠ڭՊॻͰֶΜͩ΄͏͕͍͍Ͱ͢ʢʮػ ցֶशͷΤοηϯεʯ͸ೖΓޱͱͯ͠ʣ • ڭՊॻΛ௨ಡ͢Δඞཁͳ͍ͷͰɺඞཁʹԠͯ͡ಡΈ௚͢ͷ͕͍͍ ͷͰ͸ʢඞཁͳ͍෦෼΋ଟ͍ʣ • ίϯϐϡʔλΛ࢖Θͣʹखܭࢉ͢Δͷ΋܇࿅ͱͯ͠ඞཁ

    • ઢܗ୅਺ʹ͍ͭͯ͸ओཁఆཧͷূ໌΋࣮༻త • ඍੵ෼ʹ͍ͭͯ͸ূ໌ͷཧղ͸ෆཁͰɺܭࢉ໰୊͕େମղ͚Δఔ ౓Ͱ͖Ε͹͍͍ͷͰ͸ɻ
  51. ਪનਤॻ ʮࣗ෼͕ੲಡΜ͔ͩΒʯͱ͍͏Ҏ֎ʹͱ͘ʹਪનཧ༝͸ͳ͍ͷͰɺଞʹ͍͍ຊ͸ͨ͘͞Μ ͋Δͱࢥ͍·͢ɻେֶ1, 2೥ੜ޲͚ͷڭՊॻͰ͍Ζ͍Ζͱ୳ͯ͠Έ·͠ΐ͏ɻ

  52. Good News! https://www.microsoft.com/en-us/research/people/cmbishop/#!prml-book ͋ͷPRMLʢӳޠ൛ʣ͕ແྉͰಡΊΔΑ͏ʹͳΓ·ͨ͠ʂ