From 663126511626bdad9a72bb19805ac9cf865f270b Mon Sep 17 00:00:00 2001 From: wenglean <1547506069@qq.com> Date: Tue, 31 Aug 2021 17:17:57 +0800 Subject: [PATCH] add nn_bp_demo --- 5_nn/2-mlp_bp.ipynb | 555 +++++++++++++++++++++++++++++++++++++++- 5_nn/images/bp_demo_1.png | Bin 0 -> 42743 bytes 5_nn/images/bp_demo_2.png | Bin 0 -> 50299 bytes 5_nn/images/bp_demo_bp_1.svg | 37 +++ 5_nn/images/bp_demo_bp_10.png | Bin 0 -> 6575 bytes 5_nn/images/bp_demo_bp_11.png | Bin 0 -> 96352 bytes 5_nn/images/bp_demo_bp_12.png | Bin 0 -> 5031 bytes 5_nn/images/bp_demo_bp_13.png | Bin 0 -> 19471 bytes 5_nn/images/bp_demo_bp_14.png | Bin 0 -> 6125 bytes 5_nn/images/bp_demo_bp_15.png | Bin 0 -> 3768 bytes 5_nn/images/bp_demo_bp_16.png | Bin 0 -> 10398 bytes 5_nn/images/bp_demo_bp_17.png | Bin 0 -> 4490 bytes 5_nn/images/bp_demo_bp_18.png | Bin 0 -> 12825 bytes 5_nn/images/bp_demo_bp_19.png | Bin 0 -> 2861 bytes 5_nn/images/bp_demo_bp_2.svg | 129 ++++++++++ 5_nn/images/bp_demo_bp_20.png | Bin 0 -> 12018 bytes 5_nn/images/bp_demo_bp_21.png | Bin 0 -> 4881 bytes 5_nn/images/bp_demo_bp_22.png | Bin 0 -> 3385 bytes 5_nn/images/bp_demo_bp_23.png | Bin 0 -> 3385 bytes 5_nn/images/bp_demo_bp_24.png | Bin 0 -> 16866 bytes 5_nn/images/bp_demo_bp_25.png | Bin 0 -> 10501 bytes 5_nn/images/bp_demo_bp_26.png | Bin 0 -> 9984 bytes 5_nn/images/bp_demo_bp_3.png | Bin 0 -> 46609 bytes 5_nn/images/bp_demo_bp_4.png | Bin 0 -> 13121 bytes 5_nn/images/bp_demo_bp_5.png | Bin 0 -> 5459 bytes 5_nn/images/bp_demo_bp_6.png | Bin 0 -> 8376 bytes 5_nn/images/bp_demo_bp_7.png | Bin 0 -> 12968 bytes 5_nn/images/bp_demo_bp_8.png | Bin 0 -> 3497 bytes 5_nn/images/bp_demo_bp_9.png | Bin 0 -> 6546 bytes 5_nn/images/bp_demo_error_1.svg | 60 +++++ 5_nn/images/bp_demo_error_2.svg | 77 ++++++ 5_nn/images/bp_demo_error_3.svg | 34 +++ 5_nn/images/bp_demo_error_4.svg | 59 +++++ 5_nn/images/bp_demo_pre_1.svg | 54 ++++ 5_nn/images/bp_demo_pre_2.svg | 73 ++++++ 5_nn/images/bp_demo_pre_3.svg | 98 +++++++ 5_nn/images/bp_demo_pre_4.svg | 44 ++++ 5_nn/images/bp_demo_pre_5.svg | 67 +++++ 5_nn/images/bp_demo_pre_6.svg | 94 +++++++ 5_nn/images/bp_demo_pre_7.svg | 100 ++++++++ 5_nn/images/bp_demo_pre_8.svg | 42 +++ 41 files changed, 1522 insertions(+), 1 deletion(-) create mode 100644 5_nn/images/bp_demo_1.png create mode 100644 5_nn/images/bp_demo_2.png create mode 100644 5_nn/images/bp_demo_bp_1.svg create mode 100644 5_nn/images/bp_demo_bp_10.png create mode 100644 5_nn/images/bp_demo_bp_11.png create mode 100644 5_nn/images/bp_demo_bp_12.png create mode 100644 5_nn/images/bp_demo_bp_13.png create mode 100644 5_nn/images/bp_demo_bp_14.png create mode 100644 5_nn/images/bp_demo_bp_15.png create mode 100644 5_nn/images/bp_demo_bp_16.png create mode 100644 5_nn/images/bp_demo_bp_17.png create mode 100644 5_nn/images/bp_demo_bp_18.png create mode 100644 5_nn/images/bp_demo_bp_19.png create mode 100644 5_nn/images/bp_demo_bp_2.svg create mode 100644 5_nn/images/bp_demo_bp_20.png create mode 100644 5_nn/images/bp_demo_bp_21.png create mode 100644 5_nn/images/bp_demo_bp_22.png create mode 100644 5_nn/images/bp_demo_bp_23.png create mode 100644 5_nn/images/bp_demo_bp_24.png create mode 100644 5_nn/images/bp_demo_bp_25.png create mode 100644 5_nn/images/bp_demo_bp_26.png create mode 100644 5_nn/images/bp_demo_bp_3.png create mode 100644 5_nn/images/bp_demo_bp_4.png create mode 100644 5_nn/images/bp_demo_bp_5.png create mode 100644 5_nn/images/bp_demo_bp_6.png create mode 100644 5_nn/images/bp_demo_bp_7.png create mode 100644 5_nn/images/bp_demo_bp_8.png create mode 100644 5_nn/images/bp_demo_bp_9.png create mode 100644 5_nn/images/bp_demo_error_1.svg create mode 100644 5_nn/images/bp_demo_error_2.svg create mode 100644 5_nn/images/bp_demo_error_3.svg create mode 100644 5_nn/images/bp_demo_error_4.svg create mode 100644 5_nn/images/bp_demo_pre_1.svg create mode 100644 5_nn/images/bp_demo_pre_2.svg create mode 100644 5_nn/images/bp_demo_pre_3.svg create mode 100644 5_nn/images/bp_demo_pre_4.svg create mode 100644 5_nn/images/bp_demo_pre_5.svg create mode 100644 5_nn/images/bp_demo_pre_6.svg create mode 100644 5_nn/images/bp_demo_pre_7.svg create mode 100644 5_nn/images/bp_demo_pre_8.svg diff --git a/5_nn/2-mlp_bp.ipynb b/5_nn/2-mlp_bp.ipynb index 25881a7..f3c6092 100644 --- a/5_nn/2-mlp_bp.ipynb +++ b/5_nn/2-mlp_bp.ipynb @@ -67,6 +67,559 @@ ] }, { + "attachments": { + "bp_demo_1.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 2.一个简单的神经网络实例\n", + "\n", + "下面来一步一步实现下面这个神经网络的正向传播和反向传播,以便理解后面的公式。\n", + "\n", + "![bp_demo_1.png](attachment:bp_demo_1.png)\n" + ] + }, + { + "attachments": { + "bp_demo_2.png": { + "image/png": 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+ ] + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "同样可得:![bp_demo_error_3.svg](attachment:bp_demo_error_3.svg)" + ] + }, + { + "attachments": { + "bp_demo_error_4.svg": { + "image/svg+xml": [ + "<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="33.754ex" height="2.843ex" style="font-size: 15px; vertical-align: -1.005ex;" viewBox="0 -791.3 14532.7 1223.9" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg">
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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "其实如下图所示,其实是一直在做的就是这个:![bp_demo_bp_3.png](attachment:bp_demo_bp_3.png)" + ] + }, + { + "attachments": { + "bp_demo_bp_4.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "在这个过程中,需要弄清楚每一个部分。首先:\n", + "![bp_demo_bp_4.png](attachment:bp_demo_bp_4.png)" + ] + }, + { + "attachments": { + "bp_demo_bp_5.png": { + "image/png": "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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "然后知:![bp_demo_bp_5.png](attachment:bp_demo_bp_5.png)" + ] + }, + { + "attachments": { + "bp_demo_bp_6.png": { + "image/png": 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jtdKUf2IMIN/vfvcr++67b7ntbW9bBWfKrltvTrkgb3k9+9nPrveU8CCFWiusZX9sWFGJ+VkLmyg+z33uc6tSDxx6pxY4iKSs52abbVarxBoPqi8aYuTQoL7xhb7yla/U8ygvPvA+b3azm1VD+q1vfas+H9Tew3hmLGOi4Ll+afyJup///OdrO/vHeLDh2Il6UNRrNJ2bW/wiuuALX/hCvTffQXOuFWb4J7CjPOErUuAYiVg5nxdffPFQbsJpuMUtbtH1/GNuH/zgB8ud7nSnamyMIyoV8fzlL3+pfYpqzjjjjDqegpvf/OY1av7HP/5Rn4t+1EH6ZPzOOuusahiVwZORu+Utb+lr1VmMBN1pPOMbk7HRnnFjxKwJWf7Qhz5UdbN94jlHjqNPn6gDk/vc5z5dp48zpUzfHDnBhrR1EMNmb7AXo2iowTHIzjvv3O2D1WZg7nrXu9ZQz0AIGBR13DvUtQm//vWvV7BMQmgo0kEm6blFMFERU9JgBOAV3gRvLN7MIgCDFOrg3mb3JHiTSuUJEnZCbi5eJBDJfPvb366vMjvo5yWa0yDyTFvKINryUClwHhvi8OgnIu/gYVCfo8qb2P/mN7/proPNifD0y1/+st7jQf1pSPvgWQRFsaEYD4axX0JhTDPeYrSFCWVHgVpn6UfUnNtijDtun00+yE44JyF7IlapImQtxl1Tckf+6LuYs/WyX5Vx1tGKTkQgRQYjhAdOTKy11ClZQ8aWsrLW5AEdeeSRNXsU9dXZaqutah1jmEccX7iXWZJhYBB81I/n7m9wgxvUlHe/58bzgg9DEzwZI+biub2GxjE4Q1NqDIyJIIyxYjxOIPpNhTeF3Nv0D3/4w+ubbEAXqYiItNEHr4w3iFh2hofCOPjgg+uzd73rXfVe/bWB8EkQKQH5fPnfBzzgARUL818sMo5Xi+GLwghNM17MxSbzJqJ53fve925lLqE4eZC8O6lZ3hSZEfo//elPr58m/8PmFM8oiH322ad+oq0+YU/JheJwtVGnpVhTc4gIPPr0XVTlWb+8f9Qb92o9gmcH0jF2YClFQw4oAGPH+o3b/yzq4QlxRCmjcDRnMfY4Y+APrnQTQxByFRjH+Zz9HWvR7Fd9RsJ5nn44gaIQMj2I1KOkm+tlPDxI0zozjvbObzyLulJ4oi9RDRJdkHOpMnU4a894xjO6Zzz9eNCf8UXJ/chzBiPG6K0T7UVV3lZGwV8YH4HGKBoa4XgrjZIwQZHI8k50E9ZMx7H5XIEvNGRobAggruyEhiIb5ZQEI0P5yJtTPEjONM56asEc/wEwIoiEgDBSdHEgrgxFvd57QiqchYs8K4FB8IXN8ccf3y1TzgC84hWvqMLHUMv1wlV9edVR5xT6GETBI89H+M47J9QR1nMSUNSLq+hCzpc84AVRjKJhB5XIsxe96EWVbxuah8fLCg8o+qqVW/jDsNjQPENrIsWLQpFMM0Twah6wij5tQORcE8UZVf3Swh/9WYsYL7pkcMhcrFOUt3U135jzySefXOWMrB111FHdSE5KzxntMccc0/W6jf/KV76yyizevvjFL9azWAqVvGsT/ca1LZ4X0o/1izfMYi2jHwYH/nDuR2TNPqDrHvzgB9fo5B3veEfdR+ScrjNvpK6+yCj5jEhVGQf+xS9+cXnqU59a7nCHO9T6sAl+tHEvEySDdKtb3ar2oaLIcdddd61vDuPjda97XR2TY8/xMTdEfkRdyP6TAvQ8+NN/pO/CIJl/tNcO3ygMZv3S+MMAyXqNY3CGun9ydwyE8FL6LAQFiA6ykPs4Uwgeer8rZ8EDyO23374q1ng7xGGWxaXAhG3SbfKOTfCjb9cop+gd3lFoFqcfKaeEeO33v//9a73eTdyv3bAyip6AESxv8Al1hbkW5tWvfnXfMWw4edY3v/nN3UNjm1i4ymAzun7ISJkTYkaFEY/IMKIav6YXjjMO4X0FrsN47n0WGBK2t7/97VWg5W29OOHVd32/4AUv6M7FGOYtwvJ7GqkwSoWwSynh9UEPelAdhoMR5yKRZnLIrQ+H4M72rDfZmZbMI9bTXGwW62Ldo3zaMdaG9uGN+88NMg6USr89YQ3IDrnyNhb5C6xg6d66UGCUnMN05CDdels7suHFiRUrVlSPWV+cSOVk2UfE7/Cc8Zf90G/IaVwXgmvM014SWUjV9iNjqOvlDHNgqEPm+9UfpyzkiV70CbxgAa+HPexhNT3l3IqxNrazIdhwWMhm9EFnwYYTL9PDMfcSgDSZfpG6lDy9+IY3vKHOgX40L3sQ3vbRtttuWw2XfejlF+OTgxe+8IUVH+OrZ3xEF4uiOIXSevS79Ynnfr7CeWQMjeE5niINp4/A0jNByRFHHNFdX88H0VCDoxEmQtlNIyjNthYhzn+CMUL+kIc8pH6irNkmylyjnHfpzY5JKBZ8kjZR17iAFvoydAwEZW1RnvOc59QXKWLDahOLQkgYlyc/+cndPK2FxgthIKiMp/TcLrvsUofjlVD+seEJrLeWli1bVp9H3744XOYFMYLNcvzql4dJ8T/wgQ/sKnpjq8vjYQQZeS+IiGAZNNeYi3rIVYqVMbTZI5KwKaSUbDwkJ8ypQNGHexsjqA1jo6+QBffhJbpvrnMYN4fBXgflhdq0MOH1eS7SpoiVM1jWxIsxMXfr1XRsojyiW8+C9EEmKGgOBHlRRpkw2J4531TmQ+lLTzPU0a/+KFP4NYlnCrteRatPpB+fSSiwwgtMvMWkv+b5rT1LPq297IS54RvPyHzgqgz53ZW1cf6AYl7KODK88/i5hWc++OCoMJie9/vpRcxTSnVSasqK8ShQWAZv0Z85wn+UjOoPZmTD2nI4OVa8fVhwMjlp5uI5bJp9Bj9PecpTanrYQb+XDZSHzL7tbW8rb3rTm6qDQBZEEZ4HrsEz7BgtToJ+bnjDG9Y9TW/Yp8aNCITTIM3J+cM/Z1z7yF6pr3//JsqYnH9jxtgxpiu9xtiEsWo+63c/1OA0Ba5f41mUAYS3JqyPRZjFuP3GIJghJISJF2CxGA1vgYhMvOpokaKefhgcisZGpdRs6ohgvGpIuAmLczHeB/J8VSc3G8ZeCC2SElEgAmIcV8KlT2NG/+61kabTTnTXpOZcbHCvbqrDqEn7Ubi8qBhD29iEjBNvyquayDj4CDK2doiS4gE985nPLF4JNq82I5wYc9g1NrmN6INClsxbekP6mKyFQov+zCvqUrqRxoz5+s7xIaPI3KMPXr4Pir7JsQjA3op+a4Ur/+g36vamPlRhcHjr+kDGa4Oa8mB98UdpOtujLL0d6SrjgRhSsinNgxhsDgdjjZzfeBZnAvg0L8qZrHJKEDkxtjWSNuY8mZ86i0V4gb1xzIlMNsl3CjnW0TM8aqNMRkZ0QJZCDkLeox9nHT7aUfpwDGPMWZVG4+xpR7njA2acJlj4MDbOOSPLoS4jiQdOnvaDiLPkg+xPvIdBUdZ8Lj2o7+Zz0ZkPkl43j3juHoYcVDiMa2z0NdTgSHnNE4XiiAmvqZSa6ENqS+hJmfM2hdi8ZwYnyKJYSG8VxUZUhih2myo2sPMfiosAmx+BsiHUJxBhgITdBFhZCIDoIrwX9X30wbN+1KMeVQ/5GKImBYZ482HoGFHGS1/C+PhXNOqiwJ8nF+E1LPAe86BUkH6QzUGJyPP68ZvDVcIfG7VWmuM/sLSG5g5vnjsK/uEaiiSM/TTTibXTh3WIceJqjFAkYZjUjfuFptT0Ya3IEgMc8qrMmCIPTkgY1lDK2iHfGRcGmDFkgOBiDlKdnBXl1p7shMHUFrbKGTBXxs21H8U8p0mpNTGmzBkDpBwZI5Rt7JO4es6QLrsy06CNM2vnVrEu0lWieX2Ymx+T+9kFfNTlgPmdDYOhPczMl+GxzsoYdHWWXTmOjIJ10a+9xghoEzyTUeNpz/kVlejfd07VbrvtVtN7+HfGyljG+PQ8ZzleWvCcIw0b/a/sZEhkn2LtldnPfrcTeifSbqEHjNOPhhqcfg2izAJghFKkcAiLDdlcmKjb9jVAbjulZtF4kNF/L99RztMV0tuIohcHbOb+vOc9rzaxyHDwcW8RYIVsYNGB7zwdZFxCHoqLErfpvCpJqNRnnGxcQsnIMVjG5L24x4v3860FIwObYYQvtGXnrRUbiPE2F+XC8thwUc9cgvAS/RtfWir+KWfgESk1XrJfYUszmCcKwxX9zfs1+F2+fHndaHHGaJORBZsTBVbTzif6oQS8WBKyIMVqvZy19Y5HrtBCU2rWlwxSKhRj8GDulLs5Sg0hio9yYkQQPHjolI9o329ZODHSQ/oR5UrFMjLmQsGK6Hn0zhzojthbtcMhf2Ke06bUYn5+G+jlHDLPSXKQ78zJPkPkWwbA2ocnT7YjpamfYzovTzgPi6hNfRFSvOHLeOy///7d9lKJERmaN4Vv74sQ9Sf1yzAxKnQBgyj9JSWP/EZNn7t00u8wte9lT+J3OXQLZ5FBoRecJ9E1okvkOdwRQ6n961//+qqblOFHahDRCwzmG9/4xq5McEbpPPueY0xnMqLjrMkGKzpUe57gD+F0SExoWE6W3YRCIMcVngmGXJSq5oFXipB3zzMAPiB5ejYGwfC8OSf32tqMyzoeiDo2nPKo17zaxJS0zUYh8xZFKoRM34SM4bZZ1TOu7xQawSZMDA/BIyCucX7C4yagvE8bPIxP5NYpB/3ggbLCd2w2oMZcCCMjQ2jdN+cS9QIHPImwgh8bkVEk3MrxEcLtO4XDEHrRAE685+hrURZ2jE4DB2tB0famD5tdwAL+jCf+KVOKwHxEtD6eh2Fqto37WGdrAZt+axF1rY/+Ikpc1UmtcjaMx9h4wST6izbTXpvyGi8BiGQjzeOFEHzDCgYUcShDskoB4ZOiYozwJxIn75yNUOAUun5Eu+bpV/LGi4hHfeMyAFEWvE07x2b7wJi820PkE//SvnjjSCB6wc82lncMjj1kXUQZ9AQlG2dZzqSDX4peetx+Zhj8aDnSa+QORtLxzr1CJ8gwhMHiuMKJ4jcOBa8/6TV7jzGj5NWxPgwTgxYOgL3PCaCfZRde8pKXdGUJlhwKz/GHfy8ZREQbz2VwPBcdeQ4PvDNAfhoj/alt8MceMISj1mq9Tif/77o2V2TIvSYETOfCY0KIKaABA40aeEj3+WgMBELhEET/U8nLC4zNxz/+8SrgER5TCsJfQsgjGqUYxxh64ioxple/eX/e6CEzFPSakpPgyaZnlBf7d1Qxng1KMc36HGviRWu5AePD0PgfZKIBhtO/sKKIRXLkwIcipIRFGXQJXbOmZKRlCLK7DgL/zassAApRAEXG+rL0QivEQ5FHfutb31q/8xj8foSCYQERZZm0cASamxCu4T1yAniHPDHeCVqAP7Fwxq5sGWPywnhyDA0SvVl7kZHUSNS7stlMLxGNSBXFwX6ULQYj0bc3BRkbFGWLMd489WmdY66ixEhHkVGyykOXUUha9xFYkMFxhuC3GsJIh2GUCEUnRcTwCD8ZJLSyky+MH3Y6WFdXOsmrtw7XUBqgCsNEf3h9PHMpq+Z5Ce9Z1CN/zAAJqaXcfKQvbPxZ4Y1HqaPIZTM0UhlSMgxleq4TLflaWzkMjpSVdFNkQbyR5eUC8iAiF6GLAKWJnBtI35CRNemYrLWgzynjE6fUKCuvw0nRxH+HlufzzrYfMEkdiHyE0A6vpdqkUCg6ys/rp4yQ1y4JUiqdOZWMKdkiJ4yLiNeBp/W33pwOSieeTzlMNk8EEoG1CIEFvaUmVRJeK8Xh8Cr+uwClwsPee++9q/ER8QihHSg771HfgRNyqOXNhlQ+a5HEjMkqY4McUD72sY+9Sqt4fpUHWZAIJALrLAITRzgMitcIhcIiHNGMt0ziB4mee5vGmzzOFry9EK9Zim48F9VIqfgRnDczHCBG+TqLdE4sEUgEEoEljsDEBifw8kMvr3h6h36UsYjnIhnGytsqfrfhfy3J8afBCbOcMcgAAABzSURBVFTzmggkAonAuovAgg3OJJCEwdHG+/tScN7d9+vZTKlNgmTWTQQSgURg7UVgJgZn7YUnOU8EEoFEIBFoC4EFvRbd1uDZTyKQCCQCicDSQSANztJZ65xpIpAIJAJrFIE0OGsU/hw8EUgEEoGlg8D/AbvJN9bNEexRAAAAAElFTkSuQmCC" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "最后得:![bp_demo_bp_6.png](attachment:bp_demo_bp_6.png)" + ] + }, + { + "attachments": { + "bp_demo_bp_7.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "把它们放在一起就是:![bp_demo_bp_7.png](attachment:bp_demo_bp_7.png)" + ] + }, + { + "attachments": { + "bp_demo_bp_8.png": { + "image/png": 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+ } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "为了减少误差,然后从当前的权重减去这个值(可选择乘以一个学习率,比如设置为0.5),得:\n", + "![bp_demo_bp_8.png](attachment:bp_demo_bp_8.png)" + ] + }, + { + "attachments": { + "bp_demo_bp_9.png": { + "image/png": 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XhCUwQ/kzhEgBo4uI7CwRX4IjPRQKMFjCONpFNr68wxFi+PDDD89LRyPlDbZPbRiPJUwcaQ5yLIXawof4ywGwwbZfX74p8IRjNdISl9QLwzMBswKUwG/g1KIw8flhCJdoh/MtZYHA33Z4/JMAUNzNelvpsBBz6zZ2XnZa0h3VWx1jiox/wYe+LI8B8HIf+qf7gaipZcus1AknuMiLmdvSsG1jo8QltsTODhCUzyuKvpyNxCFfCMUzgcW5CZ6MKZYjE+P444/PrEadRn7IYMcSPEnpSHEUqE87NudJdlSIAi0fKPr3LFo78ASgcoEGlwCOVA0ix5eBo72oz/3QZjjy3luqlYn+o3mWl+4HoqYsj8rNJC6JjoSyLxLE5lwLzhD8OWzjSxAmAZbJADA/rxOXRL94oUiplsrE/MeY+B3GMVgyVpYMSMrbf84scJp8SD8B5ACPPgMEAY5G/ZOpiSFNJV+Nr4M4xvqwNQ+Zc46NM/pQjtXTP7DE7s97NE8Sl0jE0dfXl507VonDhhFWCNoHAg4GYyDKDyXfVrQz2MQleCBwlhSZlTcWcaTdw6kN4bNg8jjEc65QXGJmGy9gxHdKpxwJVEIR+HTarI68FkhiE8653A/yZEhMIolIgCfGRsHajOcAjpwWwB5OLh4dKkqIYhyxFNONU+fgL9pRzsGqfBPKO4024eN7ZrLu0nQcZkw2k7gkhKhTAyAE292YtXNipo63lh7DsvFVmk1cgk/8yWTjpJfyvQP4yGTIpFM4H0UZ21eJSxymjS6ca1tq323BKVIUfMlcACCsl1Nuh3YUzAI4TbbrAgaWQ34y/bIMzsacLsfZC8vPeecIOwT1rxGTRCI3S56TYWP2bwmkPbtH1sgyBTxAIQXUscce259tp6wvRyqWdRPAmdE8S1wSmsZMAMSJp3XeLiaUGuWqe/dLYHbnYxjHA73+n+OYvaKRKYG2gYfpl4PUVrNsjUamGHtzVG0DD3Favqzvsa72pohH7qibdphHrgiqkbUqgbZanlaZqup1hwQq8HSHnjqSywo8HamW7mCqAk936KkjuazA05Fq6Q6mKvB0h546kssKPB2plu5gqgJPd+ipI7mswNORaukOpirwdIeeOpLLCjwdqZbuYKoCT3foqSO5rMDTkWrpDqYq8HSHnjqSywo8HamW7mCqAk936KkjuazA05Fq6Q6mKvB0h546kssKPB2plu5gqgJPd+ipI7mswNORaukOpirwdIeeOpLLCjwdqZbuYKoCT3foqSO5rMDTkWrpDqYq8HSHnjqSywo8HamW7mCqbeCJ4AZCrVSJS7oDDIPlsumYhINtOMqLehUh8ANQ8a0d9wgiJZKWMG2iZgnZL3qXSF4RhSv6jvLCxdUnLpEOYNKkSTksXETWEm1MBDHh/4WRGTduXH88QdG4BM+WuES4OJHB9CeEm7GLkib0mwlVTlyCl4suuihNnTo1fxPBS4QRdUQZEXoX/0LdCYUr+pd2JD4RKlc5f/oR9njatGlpypQpadSoUbN9k6JAnENR5QXUlNikHCxTn3fffXdOgHLiiSf2h54LWdXf2w6e+g7b+RxAGChxCYAI8xZAKPOiTqPEJZQS5YVdExNQrD6BIgmfMvcrUgOIGC9rjWcKlDAFqStkHcW5R+IS1ljiEkoWHo5SDzvssLTWWmvlOuIGiuW46qqrZuAAnpB0cltEFFUpAEQ+FTYOoJURV1FcQ3yjABXeRbJddNFF8/uTTz45JzURq1nMRKARDs/4TLxmqG3LVjOdD3eZEJh4fv4okFLE2TODxfNDQNaIWA7xAwW3jMil2mQJWAp5HMaOHZurmv0CmkfAS4lAWCqBKfUFNGWiFAoqJy6RowPYkD5lynEX+FJQSzwAD5JYRHxEwDEmMQ+BNdqTc4KVFCMRvzFG/PvNaombiLwTwFJsxSeffDK/kwJKhpvx48f3l8k/5nAZNsuDoYhF2ImJSwiQdUBMteeICDoH+fQvOwJDqs8yIPUjUKXnGLvfZaJIJGMNClBpCzAidO2ECRMyP2HlgIUlFFkNCTDJwiB9I8EvLUEAN6ex4I1l1aflFgmUabKwMmPGjBmQ/1x4gMuwgacsPEKZPHlyZkjo1v9F4hKCQcEXc83/4CuUA3mHXJTHKz/JzCboSFyijMiiFCtUnnjRlCnKKwug3egn2mt0N8FCyaKqWkYiKYj6QAFsfMTI96UdSxH/KvqIO38OLwG4Rn3qT/np06fnz3hA+sB3TIDy5M8Fmrg0tWxpeKQkLolYyyHEkBHwAAhhCqEr8ZnQtbLgIKF0/Y0uHFfZaoT/BwBl1KWIgUhf/pSZOXNmTlwCdPpBvgV4PJtsli0OL7LkAUiAJr8sLsDD+Z5T31E27tGXONl8Lf20Sk1ZnqEkLjFgg0T1gw+mY0BDiQAfbQ32HpYAaMqJS1hPlsjuavPNN8/A4ddYZlgmSwggclLlsop2GvUf42ZVLHt2T2JaS1zC6RYFntUBQm0PR9qCRnyQMz5F6DcuqSMjPnaj8nN71xR4OIDWxVYSl3D6KAUNJOAQ7lAjwEcfgmCHX5A7Li78AzM0UgREn/E97t6b5Xil1HAobW3DidYOv8kfn8Hsj1ye0c5AdwBBZMLBZdFZsVAsJ1iZ6Ms4yB/wlCkTS6jfaLP8rdHvAOjZZ5+dgSOzIKpvt1HdRu+aWrbMSh2UE5dg3MxrlLiEcEVD5+Hb4RAIqldoI4aG8i7a59PYlqMAiWdCLvs7xhQmX2KR+sQlABdtsjTOcFCzylI26mvfEgeU+gRGf5YxcoyJZZnUPsAgZQHE7o4lLBMdmHCNgFUu5zc+tOss68ADD8wpKb0ng5CR58FQU5ZHg2aYTjhyGJGII5w93wkgnC/bT2cNZtesWbPSJZdckg/oBkJ4DGAoyxbeQlEEGsIPRbMmtrnI0hApikJwvkWdXKi4cK5jdwJ0fCJbY0pH2jFmyqXk6Ct//O8FKJSbMWNG//LtXaQowGs480BgV2RLzqqhkJklE5hR8GxMkd4gwJEL1F1806fJP3HixDS68NuQcyNtlBOb5A9NXpoGj/ZCuJgJP8h7wjGDnDEg6+gVV1yR+vr68m8O35wohDHUZSva4QjiTy6H7bbbLq/xlhZ5rRCFsIb4lL8TWZaVQZTIalKg/BCIc+ugT6Y+W2hbZHKIRG6hPBYOMMKSABWgOhxslLgk/CV19EtW+ArwBCAdBrLmIuqTEysGCLH0ZCaLi/p4CVkYK174ZoAPnM578Kk9Ob98jwk8N11FP+5Nx2HGUDOJSzSq7FVXXZWcYhKOwzQMGlAMSrl2kL719URd4hLJYO2gEOHhjVPsSMGMprCBEpeYnRQLkJSmD0sIYNrOI4oBSDuwO++8s2HiEplkHDaahLbKturqU1xYQ/yQmQNH5Jv+gEh9d8DCq4O+sKYsvTwffCjAxpusgg4xWTZ9WREClGQEQBKt+M4KqWvSOKZQz8oSkyczU3dpGjx19Ro+BnrN4HPPPTebVP+vsR3kpIUSGlauXnadBJpymJsZVQCH+ZW3yT8hHdX7/4vzConqzV6zqKKRIYFhA0+IA4iY1nCe7RL6Ct/HHbV72Qo+qnv7JdCWZcshF+fS/2X4AnZo/ukX/kj7h1X1MC8kMKzgmRcMV310jgSGfdnqnKFVnLRbAhV42i3hEdx+BZ4RrNx2D60CT7slPILbr8AzgpXb7qH9B8iFxUmdhyUzAAAAAElFTkSuQmCC" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "通过相同的步骤就可以得到:\n", + "![bp_demo_bp_9.png](attachment:bp_demo_bp_9.png)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "在有新权重导入隐藏层神经元(即,当继续下面的反向传播算法时,使用原始权重,而不是更新的权重)之后,执行神经网络中的实际更新。\n", + "这里我们就完成了对输出层的权值的计算。" + ] + }, + { + "attachments": { + "bp_demo_bp_10.png": { + "image/png": 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ugVMmcFT9FuHEE08swUIduoE+MgyB0L2Aadsmc5KJyd7CC3x86n/66adXEyZMKAFE3WjQi7bR+qQ980+Kz+b4+jngHiSMGhzySqUfIhAfBjAZRvvpO6U45s3qGkFzXCsMIV533XUlDVXXC/RnAFJVDuJwiYMIFIGMCy+Gp43DBZr1qRtrmfnG2l8/wSw6wQ95OBn3hshZku3Jgw8+WM5NrrzyyuIoDuKawaGpR6s0MGbG1d7EKQhj+JkSfvXFmyvjRBfo9IGRbatXvN4ISc/t6b0ZOOGEE/6Ln/DHVhL8R2OnKQ+4mXu0flPSLqMYJIwaHCZncns6ynFoZO807p9vHyZnjKmJGyOxBcg2QF0voFxtHN2qyKnSvxd+6rxqswoJIu7tX61IMyKEdwYvwDEuGYTr2GOPneggTaNLAMBPUx7eOAkUzkesxM5GZjQIv3hItuMw1mt0ZxiyBvW2IiA20OS5X56c/9iCk6t5vdFrLiz9jjMj4c32PzVMiqAIuBeONpdVJh8qOTgToaWz6ikhq41oSvDK3GclH4tC2jRlDDS5z7OAxeEZvbLXlTZllJr+mSfj4gvYj1p1GZzPfgWUCy64oJx+6xs+9XOf/kpjRAbGygoV4/K67dZbby0Hsdqa2Qn8yQG0ZG73+EtG4cCPvrwVwDtZwcllHn0D7qXwvjnw3YVDQ7R6m+SQMplm+IXvvgme0542eGecccbENyjkg4bJBX2MFfrzjDcylF2i21sL2YP64KZfs5zU/PBcAiR5GFuQ9Mbt2muvLQsF3YVfY8GP/ah3P1bdonuQ8O9x9gizjEQAJgHGMGmf6hWWfTggFG8Z9KeAJsT51DFS0BRaMzUsjZP5E5qN6V4ZekcbKn3TL8/6NeuiUMaQ14H4snq4GB/ASxMYA7z010Z+kQN8bQKOlD/yRT88fZt0qI+xTUpu7T76GdshngtERsFV5x4E373g6q8yneIbg369hk5buRnhJ/y3my0gDjvDP15dAM/mD13uM47505YxmzSrSz/35Jy3D/o1IXjpn7KJ477ZDw6avaKVQXkTwhec49BfO4vUF34AbwCveNLWpiO407r8l8rJnDkMhFlCkZ7az8oWpNhOUzEt5fLaiNAI0bbDF4QOty666KKSgjkMawptJMVMDpkZQ5n7sfRv9jEOninSysMI8vWiTMLKL1XFN8U771BqIw97XiuvPsbw4Qu+Hab6LsAqro/Pkq3qZEee5uUIgdCh7FducANxqjxra7a37/HsAvima9mi7SMZWAzw7mMhr1w5ChmYxys4r2plJ2TBRtiDvsYyV1ZebfoKQL1oUOdqyyJ8NMtmf/Wew0PGaeIHp13Xfm6Oi0fbEsHRViuv7clDwHPJqnzjs2P9/Y+FxN+nONPiI/60wP/3wE8/PLVpGeTzv9Y2mbMQcgQs4p9//vnFmDkAI/HRihWFcLxNICxGr48DIakXYEyMh6NwEEYCPM+IECdh5D5hdrBnJUqgYCSMm6IvueSS8hZANkUmAoJvCaShDMq3F/j0Xtvn4YzF+GRjfG+KsvJwQK/hBB59yJMsnaX4u4v81V4/ctMv+ouMPYOUqU9ddM0Z6Nr2Ad/o9MkzHbr3EZasx5sBjsAe8Olcxhi+b7Fdsh2BzybwSG4JjupjLz4KMic7Ct2Cj/E5HNA+GqSvEoTPlKP1b7brkwutDjt9cen7EEENLxZAfAl2vs1gJ/wAnsAIvE2ieyDYGgffYCx0lY5T8WfMwYFCCNqKSOFehXkl5OMljuLiAJzECugLMMZEyQKHDIIhW0m9IQBWIkIC/Rh5QZzGP/jGk49qnDfgy9bCPpZheLZCyg6sCt6ncwQfdHF+ju8LP6n80NBQGQseuZEPmTI4mZhsimzIQj/ykSVoR0MCBIdEC+jHUeDFSZS5mvXuAwwVjrEFb8aPZ6ufAIAXJbrIAf949BUshxE4pPP4uLf+VNt2E1/od0YleHIU9jOuPsS2d+dIAooAgFd1cRhj5a9D0ThWnvWNHNz3C6FDX0HdQTy6nbngK1sLNOdrWzySC1x69mwRYf+AbPwFdOw+c/RL0yDwxhwcEO8SFDi0P9W2OgJ/zeaTVI5BQDIL2whnEoLDu/Vnulk5KJqRMCypp60HGIvSSscB/zBEtOV1mD/FJgdB0ipxxBFHFGP2xaEvHK2cwIphleAAjN1K4mtE/BuLPBiVfSp5qQeCjPmsxhxNILDVkDEA2Rm5MTQwCLkZE4/0xCl9Lp6MRsrsfMX2CA4HUHf44YcXp5Vd+dsIeuXsHMPhre8OLCDundEInHDwnmxTsGU/+BUcjY8W2yzBVtugeC4Dj/ATeSg5ND3bIgGBj258VIZe28S8IrZYkoGSftm8MQAdCqx5Tlkap9PPmIMD4l0UaJWQKmOW8dp7MQgKjFFZ8TiQdv2sPlZfEdRqC49jMED3IOV0kk3PaaM0Rk7BeBIUrQiMwkEd5+cwAontgMAgiEqbrSwcwziRB5lYOQUAjkEe+kpN4aiTunM8KyqHs6KSKRnBacttasrOWOh1+dgs9KMP3xyDg2jHAwfAv2crK344v1WRYwssgqaMg+OjnTxtFwQBeGRiHrgyTZ97kytatJM1GYXPlD2VNpUrm3Phh37YAHotgrIof0SGf20A7QKH7RgZ4RUP5Gk8tg/XfcZPOZXJ73u4UV9ljjQSxkFSKMzaPthXWwVFQsGCUNRbJQQDdYIGI2fgHEYkNR4nIiCrKwNoHrSNRMf0qhfUKJRj4hFvzgiygjOavPd2rmLb4L06gyYzF8dwhiAjwD9DkYYazwpKZuTI6AQEf+HIWfTjfORGnsY3l7/2JDd10c/UlI8xObHMjwOYV2khECjRTX/olREADsAhyINdAE5CDmi2uAzV2yvBkSxsVQRBW1UyFmwFDM7HbtiEee6ttyc+1kogxfO0hMiXHtCHf3yza3ZAv+iEJyMQSCMHQZF+LRS2XnDIQwbpf2XoJzAopyvURIwZaoYm9q2NYrheRSY+a2u2T2xo3cCphTas/4UXXjhcf7I6XBtUee6nf2u4afLYpKtO+4frlXLivGmrnXRiXW7qFTK3I5bpHwTj1NuR4VNOOWW4dpDh+v9bDNep7HCdSQzXxljq6oPc4ZNPPnm43tuXZ2O0x8l4Yy3b49UZwXAdGMtwaGy3t58h9pKJ+iYuHHKaMGHCcB0ghusFpNyzLbKGWzvg8PHHHz9c/x+LMib85hjGnBbQnLM+Dxqus8Qyrfpm26RooVM814vrcB38C7/p3+8Ykxp/StrGHJrqSUvEU9ZMlIjuLyfzLOIluqYOXq/L3lHaLZPICa5IrN+MBmjCV3iycsgK8JW28N7mNStB+qa9No7/6q9eqg0PyE5kBfpbbbIvlzlYqazgVmip+CCyrfClDO0OJGUxaCWPpq7xk+fwqB/685xSPdAn/fDigM92RUYgu3BeY8UF3vgA21e4cDJOaRjwj7lcTTvI4Su+QPgPbvhtlvilL7p2ToMP27DIYcBsjDr8FH0+HQGZxX0gQouAUj9S2RwnOL3q0ja9y9A2JTz3w0PmGQm3V3uvupH6T059c1z3gcnVdfqNVDbnGQmnXT+WPu0xxvKceadEHhmjPf9I9W28QT5PUXAYJGHd2J0EOglMXwmMeVsxfcnuZu8k0Elg0BLogsOgJdyN30lgJpVAFxxmUsV1ZHcSGLQEuuAwaAl343cSmEkl0AWHmVRxHdmdBAYtgS44DFrC3fidBGZSCfwvsna7gOLKW0IAAAAASUVORK5CYII=" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 隐藏层\n", + "我们需要就算:\n", + "![bp_demo_bp_10.png](attachment:bp_demo_bp_10.png)" + ] + }, + { + "attachments": { + "bp_demo_bp_11.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "从图中其实更加明显可以看清楚:\n", + "![bp_demo_bp_11.png](attachment:bp_demo_bp_11.png)" + ] + }, + { + "attachments": { + "bp_demo_bp_12.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "得:\n", + "![bp_demo_bp_12.png](attachment:bp_demo_bp_12.png)" + ] + }, + { + "attachments": { + "bp_demo_bp_13.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "接下来就分别求这两项,可知:\n", + "![bp_demo_bp_13.png](attachment:bp_demo_bp_13.png)" + ] + }, + { + "attachments": { + "bp_demo_bp_14.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "又因为:![bp_demo_bp_14.png](attachment:bp_demo_bp_14.png)" + ] + }, + { + "attachments": { + "bp_demo_bp_15.png": { + "image/png": "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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "所以:![bp_demo_bp_15.png](attachment:bp_demo_bp_15.png)" + ] + }, + { + "attachments": { + "bp_demo_bp_16.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "结合可得:\n", + "![bp_demo_bp_16.png](attachment:bp_demo_bp_16.png)" + ] + }, + { + "attachments": { + "bp_demo_bp_17.png": { + "image/png": "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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "同样可以得到:![bp_demo_bp_17.png](attachment:bp_demo_bp_17.png)" + ] + }, + { + "attachments": { + "bp_demo_bp_18.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "因此:![bp_demo_bp_18.png](attachment:bp_demo_bp_18.png)" + ] + }, + { + "attachments": { + "bp_demo_bp_19.png": { + "image/png": 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+ } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "我们知道logistic函数:\n", + "![bp_demo_bp_19.png](attachment:bp_demo_bp_19.png)" + ] + }, + { + "attachments": { + "bp_demo_bp_20.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "所以其求导为:![bp_demo_bp_20.png](attachment:bp_demo_bp_20.png)" + ] + }, + { + "attachments": { + "bp_demo_bp_21.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "同样有前面前向传播可以知道:\n", + "![bp_demo_bp_21.png](attachment:bp_demo_bp_21.png)" + ] + }, + { + "attachments": { + "bp_demo_bp_23.png": { + "image/png": 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+ } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "得:![bp_demo_bp_23.png](attachment:bp_demo_bp_23.png)" + ] + }, + { + "attachments": { + "bp_demo_bp_24.png": { + "image/png": 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jZOGIJU3jjEaQ/ldxnBFn47jKijk7Cs8SmuxQOQ8Xh5YglwCcvrUnS9qjw1c7gU+aRNbScI5/Ap9dsYDTd4RzNF9dHVzk0Q8Gghu9wtczfT3XdOSgb+jkwUw5vPMME2XBJDlhLCo+8IEPlF25vwblSFaKnsE8z+oELc81H+XTSjU29EjAr8dbGZ0EFGMPO/oKQvWJQeSWw8hHOJ/4xCfKR1peI+y7775lF4tfdE3/9BG4LDSC87R0xCf9yPGX0yHj755u6uipnvzK0tYiqqWGQENg8RGYKHg6tho3ZVInr9v1nW2ek4d21LNyCW8pzxysI027QH8yMHWRQc7huMZJ6PHktPqyCGSc20tf+tLy9avjP06u7ityjdNXZJXjkVTzSHnK+s9pk3LPaMkvyH/sYx8rO9M4YuWChY95fOnrHbPjYTtXx4mOo+1gQ49vggv9HUMKKo409aM+skWWxcjTR19PfVlY2EmuGHwFe8ABB5RgqozckjZ2qBYK7i0oHIvbedvJ2/1HF/T01P7ggw/ujjzyyBJglc2Vhsk2V5vUp//Z9Kz5a+cDtJYaAg2BxUdgouCZT+bHEc/kzgTnBOIIxmm7UBr9ZncWRySw2aFwMp/5zGfKMZ+yYUl7DtJRoADi4w8BRCBNCl90cczqBKSkujxlk+bpb9L22gn2GRP6wMOXnb5w9i7b8e+JJ55Y3tsec8wxJZD4UKYOnvU42uVJeIav+pqmEEzwz0L01ZZurvDJWJDTHyDwWsBPeHzR7PjTO0Vftj7vec/7D32iH1vJ4mgudWo80KbvudotpN6OtKWGQENg8RGYKHjORyzvlDgvH3V4d7Ns1W8/58NjmrRxoo5Yc8yqbFji/NQJhHZVgk7aD6NPmZ9S2MUIsu69P7OjuS6m6C4gWABwvnagrmc+85mrA0jtlBMg6VPj4YtpgdT7WTs572avayn60iG7ZR9L+ZmUd6h2ncod9UqxgVrncXXy/tkrDrjq1xfp9cJrXD6NriHQELjuIbDeqwdpvmLFAQ1rp85ll5I/ZODDFit8x4XKOansVqzGOSZ57rMTnMRh9WUKDzK5z7OALiAKCvJhV+rkcXppn37Cl16S92F2bRyyPysn4B5++OHl601to6d27tNejkcwwCs7nDhfP6f48pe/XD6UUlfvbtHPJ5ElfbunX3akPsgxXr5qpTus0OTSj7ZJ7h2R+s2l3536qIesvob2EVFOKqIvevd18pz61KE75JBDVn8BDB8yzDdpg1fkzzPdYOh0gty+urX7VB7atKvz2fpH57KAgAfeFhG+GP/0pz9dFlLGLvrihT72o9z9pGNL7pYaAg2BxUfg2k8v59HXqAnKCUgmPifgPZmfKHgPKHEavpLVnoOqU4KTMk5cqp1KffRWKuf5T2TG07088s7FKm3TLs/a1WVxeJxlfu5BL7sPF+cs0aVOnCW6tFcHv+CAXp2A7Eg1+JIfnba1HMrjjGfDrd9GO7x9ZOOSglFolbmXQu/e4sP/quIrVDyMr58Zpa7cjPgn+verLbB8jBT96eqS6Kz/yOU+fPSfuvCsZVaWdu7hnK9ntatT6NI+eU3jvm6Hhsx+gmMH7ktec8F7ZOPXP4XQFn0S3SS60kldX47Qtrwh0BBYMwhcO2On0H8meJwBp+H4z/s0u01HmL4G5BQcaflZAKfCyTjW9Rd4fHzy/ve/vxxx+VildiqjHNd8RA8Pee4naV+3wYfOHJ2dCyeZv/5jJ2rn6CiQ3hyj961ydfDwzs3OTRs8/DCe3j528rtIu0Bt/Nk7u0LYwVO/AkVS5JCPixvapASdPKur6/v3dHZJ9DbWThscz8PAYonu/piAn9QIJDDQj59Y+CmO3S0s2Ah70BYvfWXnpk5bAXqYDMpcfSyiR53X7ZV7jg7hU9OHpl/Wf6750tGxr8WDo+z8LAseFgQuu3K/cd5t8PtnCy1/H9g7dXPEn670/7vSZxyd+rK054ZAQ2DxEbjW806hL04oDsiO4d3vfndx9gIEJ+pH7XYknIevYTkTQUEbH2w42pI4W85VIBFAOFHJ83UxJYgIAv5Eng9v7GQSSDlRzp8jPOqoo8pXrHbjMBEw/ZbSMR+H67en9PS7Pn9+kDPFHzb4+9I5OxcBys8sBGZt4AlL73L93dv8rxvj4KZdxi8Ye5aSpzxlGWvBwlg7nqU3Of1JPWPo3h9psGv2ZatAwR7o6b0wHn7f6zjacS96NkFHuGXxoDz24o8G6JMdRW7BGX8BSVI/V0pbuRQ9k8/Vvq7XJhdZfYzkLxb5faygTxcLRHpZDPhtKjsxD9BZOEi+hjb2ksUIPvSWJpGrNGz/NAQaAlNHYKrBk8PiiOyoOEQ/dfDJvz9uIJC4BAhBxA7KX1DhbDlBgdUOlKO3E/OFq2Qnw4lI4wSBQrjE/9CbTn50730nvRzdeo/GcXq2w7K7tKvwe0KBwh98EBwFRn8hx1HpzMxM4YUObvCBKYdsJ283DhtYaAcfu0z1ZEgAFbDIIo0TSNAliMhz1eXukzhyNHhb3AgOdLZ7EiDpIicXHOhPR39FSkARWB2X0uP4wZ8CdJxPL/J7R25xIZCwn2WDj8y8OxRoBFwBkq7KElDwyv/uQsZJddY2OLgfN0UObS16fChHbu986ZWjWzLnr1XRES5ojbNniyz2L8HG/2AUu08f48rU6BoCDYHFQ2CqwdPkdgmaAp7/iszuSvK/UfiTZwIHB2Jn6pjWO1HBc+Xgz8Bl58ERcqIcr6M9R7vSJE6tNFzkfzhqsuXnDv6rMThYRNhlPO1pTyvO3l/s8ReC7LwkOw67DAFCMLAT8dd86I8XPDhd78ngpVwShPVnNycQCZSOcu04Jbt7uHHE0mLghicdjZOg5c8RZkfsSNL7XcfPaAQIZfvss08Janbn/jatcRUMBQ4fV/ndpQWWe++ILSzQ0D2nFRYj7Ie+Fg/4k8UxtsWIusXSuTAe8U/wkAt4xtkRtGRhYGz80QnyOobPT4AsJmEgN75sHg/JGFp45Dl5qWz/NAQaAmsUgakGT5PbxcHZZTiK5Aw4d+9+OEwOLk7XjkmAUa+d3YvdmxW43Ro6gYODdi8lX6Oo9TqPUxMEOEA6WTTYUXCaPqQRHAUUgdZxq8BpkeFY0s5E4MAneMDEzkuAFDjgoa2jPzTKHI0KTHZkApIdGUxhhKaP2zSxw4u8Ln+MIvKTj94ChwCing4CBP0925nRR3C0qxL4BF6LCjtWgZHs8HQcK0iig4l+0Dqp8OcE4UoW9bCGUfRM3huuRXms+6KP8WED5LVItAv3R+7pr04iu8DquBtGdKUDPPFj+2jdh3/yRVGiMW0INATGRmCin6qM4s4xSDmi4gwcz3qvZxdlJS2YchrK7TIES2WCqiAgAAgoVuL4CTIciN0ZB1l/CDNKjjVVLuhzeAIXHenmHWV2gJxqfvfnva5jWb8r5PBh5hI4vMO0o6Q/R+qYDz87MJjBkVMWMP0PJYKJdoIT3OCJv778by1wU5bxmSY+eApyTg4ECP3KLZQsJMht/MhrRykJEAIGPNiFJIjAgcwWXzOD42uLB1g4CrZI8CoAxhYjAqrgxG7YhH6OHxz/+mMOWWjQeSlT8DUO5KM/vdk1OzC+5ERnR2mhERwsGoyvhZSjbTTwcALh/0rVTuCUt9QQaAiseQSm/kcSTPA4Ec7NcZ0/4C5l1Zz6Ueqj0xadj0DsUJ7//OcXx8FRztV+FN/FLK/1trMUQAVHKXWcYd/5JbDNJlvahwYfi4wjjjhi9Z8FdFTrOJDj5qT99SQ7vAMPPHD1O1Htp4ldX658LSuYk1FfdX99evIMw0R5TYvGs49nBB3vRP0ZQe9YBVMLDXj7E4n77bdfKUefQIXfUqVa7hzHkk+5VOMxSia7brLbab/hDW/oDjrooNULsHF5jOLdyhsCDYHpIDDVZWwch5zDE+gEzjwTOc4jZeiGXd5dOdYUJPIFopW8dte1RCZ6RScBTOCM04/O8r6uCaZpm3pBtW7vvj6GFSzsKrW3W8l7QTtPOx07QDs8Dngxduu1zpFdMBsWONXTJzhER+Xkz3Ny5ZI2aUeXZYMPcBwH21HanXpfbMcm+WJZ8noALZrwKRWL/I++XLUd5OMoeknRP7TRt87pa7yMtYUnPSyCgsMiq9HYNwQaAmMisKg7z9p5xanEgcwlXxxRTTesrK5fk/eRbSE6jyN/+hlFO6x+WNmo9vMpr/m6T5rvWKfdqLzuZxRNv3ySNn0ekzyn34XgER79/keV9+nac0OgIbD4CEw9eC6+yK2HhkBDoCHQEGgIrFkEpnpsu2ZVab03BBoCDYGGQENgaRBowXNpcG69NAQaAg2BhsBahEALnmvRYDZVGgINgYZAQ2BpEGjBc2lwbr00BBoCDYGGwFqEQAuea9FgNlUaAg2BhkBDYGkQaMFzaXBuvTQEGgINgYbAWoRAC55r0WA2VRoCDYGGQENgaRBowXNpcG69NAQaAg2BhsBahEALnmvRYDZVGgINgYZAQ2BpEGjBc2lwbr00BBoCDYGGwFqEQAuea9FgNlUaAg2BhkBDYGkQaMFzaXBuvTQEGgINgYbAWoRAC55r0WA2VRoCDYGGQENgaRBowXNpcG69NAQaAg2BhsBahEALnmvRYDZVGgINgYZAQ2BpEGjBc2lwbr00BBoCDYGGwFqEQAuea9FgNlUaAg2BhkBDYGkQaMFzaXBuvTQEGgINgYbAWoRAC55r0WA2VRoCDYGGQENgaRBowXNpcG69NAQaAg2BhsBahEALnmvRYDZVGgINgYZAQ2BpEGjBc2lwbr00BBoCDYGGwFqEQAuea9FgNlUaAg2BhkBDYGkQWH+Sbv75z3926667bnfSSSd1//jHP7orrriiu+lNb9ptv/323Q1ucIPuX//6V/eDH/ygO+yww7p73OMe3R3veMdu/fXX7/74xz92X/va17qHPexh3eMe97jur3/9a3f9619/EhFam0VAwLits846ZfzCPs/ylhoC/78h0ObEdWvEr0vjMVHw5Eh/97vfdWeffXa34447dtttt133uc99rvvlL3/ZPeUpTylob7XVViXAPulJT+puectbluCpYpNNNuk23njjQiMA/6+nDKYFRT/RL/X9upTLXXWCb4KW8ro+7RLMQifvy6As9aP4ZAwih8WQlHbqaz1CV4hW/TNOP2iS3PdlVZd+3Ie+T1f3FRr0k6bgOUyvGpt+X8PaKZO0Qx8aZbmX06mmUR/6mkfdJjzkUuqCWb/9v6n+zTd1ydNHn8Yz2fqYh06+3nrr/ZesqY8snvU1jE9o1C80BQP5KJ1CU/eVstnaoU99f04Eg9BMQ5davtyPI2do0qaWKfLXdWR1pd20aPr9Gns44Z/UvydHbQ99WTyrD76p748HGtcwGdJWnfs8h1dptOqf1CWv64bdTxQ8MbrhDW/Y7b777t3Nb37zAhKgfv/735edqHsKypctW1b6/elPf9rd5ja36ZYvX979+c9/LmWEDB1lpAhePxsIzxmM0JQGg3/UKUPnCpgpD9008758Gby6j9l0I2/k6+ujHX7Kw6Pm674uR/f3v/999QKlT+tZX8NkDF5ogpv7OkXO5AuVt+6z7qfWSV+enVgMS30ZhtHMVRZ9Ik+fp/4zDqHFM/dyqY8rfhJ+oanv2XFSyvXlvublWZJHxrRLHsz046rbhyZtI0ufJm3Tf78+fJKHX+RLeWTxXN+nXp62+uy3r+nmuk/75H1e+qeH8tDgmXu5a5iukRG9+mE04dPvV5tppPCXS30ZyCgtRL9RvJWn/2DR17OPb1+W2HjahU8RuvondpI++3oirdvONh5o9Rf6yKC8TqmPbKmLLHmeKx/umeZqNah3PPujH/2oCLrtttt2v/3tb7u//OUvZZAdx55xxhllAI477rjuzDPPLIFT8NTOUS2wauX6iuQZXQ1oymsRU9YHNuU17bTuwzsD8fOf/7xbuXJl0e2qq64q+ppWr6oAACAASURBVNqRp77uV9sM1GWXXdadeuqpq3GDyYMf/OBCrq1n+P3qV78qmNnxw9HCJQb+t7/9rbve9a7Xfec73+nOP//8btNNN+023HDDbmZmprvFLW6x2qCOP/74Du2VV17Z6Vc/y1YtbvD6xje+0b3rXe/qNthgg0K30UYbdc985jO7nXfeuchD7oXKi5Fx+tnPflZkZQvkYUMuuARbgfOzn/1s6dtrgZvd7Gbd7W53u+7GN77xat1L5YT/1ONwwQUXdBZ4+rS4g98DHvCAwjk4e8h9xhXtF77whdLuvPPO67bYYovySgLv0GjnXpk58oEPfKDbd999y5iFX+bCl770pUK75557rrYRNDDzmsQrEn2S9573vGc5+Ykt4e91CTzpIb/vfe9bTn5iI+bm9773vTK+6K+55pruoQ996OrXJ6effnr3oQ99qNgbHvp2sYmb3OQm3Ytf/OKiI11/8YtflHZex7AzdhJ6+vzwhz/sfvOb3xQaet/1rnftttlmm9V6wWXSRPboPZtNkgdtkvu6zJyBAXyvvvrqbvlgcU9PyZg5UTvqqKOKzcHdZuHZz352d7e73a3wrXmlj2nk5Iz9wNfY64vOrj322KN0E5r0WevnfiH2kAX5uPiGnm1861vf6p7+9Kevtvtx7Vc7toIXG99ll126O9zhDkU9+o/yUTvttFPxlbFzPviTn/xkd9vb3rbMBfPSaSi7JAvbjf1edNFFxbc8/OEP/w/bCKaj8vVePUijKkeVU+ytb31rNzNwzre//e3LxPr0pz9dOn7IQx5SHKzB9q7zXve6V/frX/+6TByOWlsKmpiCjQAcB84QAJRL/xQViM8666wCRGjUMSK0MSBgAF8bRq6OAU074ZuEP/1OPPHE0ic8yENeet7qVrcK6eo8cl1++eUl4HFyd7/73TvB6txzz+0uvvjibrPNNlsdEC+99NISNBx/w++b3/xmxzjgq38G8bGPfayUecfsWJwD/O53v1sCJP5f+cpXihO99a1vXXJYcaJw0pcJcs4555RjdYaGN4Pk7Miln2nICwT96Fs/MwMb4tDhJQn8xk9/73vf+8q7dLJw3oceemj3pz/9qQQN2CbglIbz/McYZBzg/e1vf7uM213ucpeywLMY+sMf/lBkJE8SudidMpgJNiYlDF3GRltB/kY3ulHhmbZyY/Lud7+7e+ITn1jmgDILHnicfPLJ3QknnFCC4/3ud7/Vdo3G+OmTM2AHl1xySWcxZNGkfxhakJx22mllrm2++eZlvLxacUrkdYngIKBxbualMosxzxYmxll7OrEji7Qtt9yy2LC2W2+9dQmQ7NE8w9eCxzgYP07emMJIP/SBg4u9sm2YsM/+HKLjuKkeu9lsEgZZAIR3xpyDPuWUU8rC1CIXppwo2xQ8XZ75KHVwuPOd71zmBGdOD3pKydPHQvNaP3OXbWSxZJyMl0WJuZJvTPp98hMWg5PaA9uwgDTWbHaYj6rxjczmhqDl25bHPvaxq+fYXPZrPNgvPuzOYox+bJFt62uUj2KDFtR0Nh/Ei89//vNlYamdMXzjG9/YPehBDyo2zvcZW7aqng/Uh3ZsfNzxnGjnaTdJkTvd6U7FsEwMxgZwgUOdibL//vuXif34xz++rD4NhEnIyUicBgdFWO36zhCQnKTjYOCiU2ZCSHFqBkxiYHbAHENoS8WU/4m82Lo/9thjywBYeXMoJprB+ehHP1pkoZsUeelkx/X973+/7DqtZIOJSfnKV76yrGzdc1JWxpwZGhOZg/3IRz7SPfrRjy54cIA//vGPu8c85jHFmenLrgke8LJi/tSnPtXttddeRR71xuzlL395cYxW0YKSiWlHK1DVKYFqIfJ++MMfXi3v0UcfXRzRDjvsUIzdAoO9kNHuhCF7f86YH/GIR5RJBMPlg12B4E8nuA9LqZNrgw7uKU8b5ZlsX//614szetaznlVs2ORV/+Y3v7m7z33uU+7xCh881JPRzuUlL3lJ2Jaxev3rX18WHSarfiW2DWM7AXhqL6lnM/TiCN0npS3aL37xi2VsfZTHqbEfu9TPfOYz3QMf+MAynmzikY98ZJmXeHBAb3rTm4pMApjAYJds1yvgSnb0Bx54YME4JxbshOx1+uAHP9jZDQuw+qGDvsx7eAmcaOAlWSDgYecLN/odfvjhZYztXs3ZzOP0kzGSR/dgHrzQuh9nDtmZs2Vjl77SrwWTebvPPvuUDQC+/Je9hDbk5avYJjw45TpFxlquun4h93jGNgUUi6TnPve5BWd8BYqXvexlxcbgH53UxU6Nx0LsgZ9xsW++ZZiPCr4ZKxjze07SgovcNZf9wlqANZeMeZJFmHlmgcOPjfJR0ZtfsyiKz8THXLGgjQ3wqRbJFuVJfK0Nh93nuOlaKcdtMaCzunbkp0PJ6kYEN7kozgE4Zly26kjQStOEtxISCCljx2l3yhAorJ0jKcZipRPHz2H/5Cc/KX0BhBMSdK2otceTUzKA6slhdQ7MDGARcor/6Avv5GTUL73Joo5Rc/4GXAq9NrmsquguKKIjs9WQldKFF15Y2tnJ24WYTIIKOk6WIaT/I488shxtCLBJvmh+6lOfulqWvffeuzgEkwofbTmJGKpc/+Svk4npkhYib5wPHODFNpSRhy50wl+9iWTXueuuuxanrm/yrVixojhkNJkI6oKneym4sJXo9++aa2nRJJnsEufJhtQZEytUTjap7se9hZq5wG6ND4d+//vfv9i3nRjcyOAyziawhQqZ0r9cv8rvfe97F+dgHKTaZiyU7HyMv/HTH8zwxsPOgB5swDM92CN6c0UybyxSrNQjL2fE1pye6E9deOBDJ87bosYcloyfIMrGYy9W7/qhp8Wze/OQrmRga/wFX6EfCf9cpWBVmXrt+mPXb6PtbDZJ3/Cq+3FvXLWFO7wtzulkMW/ctWNj9Cd/nTIf0OA17RSecuNlfCxQjDtZBTU7T5cUOdDnWog9CIACluSV0SgfFXzRsUPPTkTYCvuSIs8w+43/QQNnfj790lWiW30/zEcp054Mgr1xfdSjHlXa+8dCyIKNvUorB/5VX5K2+idL5n6pGOOfiXaeJhjj06kBtDIxse1E7YKs5O0yGSHhGKZg6hJ0TQqTVYDMs0no/UJW/c627Z4YjsmY4zx8vQfjaPRrZWinB2SD7JIYeBx2jQOZ0Qa0um62ezLXRppnugkA+gpPfejfMx2t8tOnPgyyZ04XH3SSMgNocWGAYepr5jrhZ0L5qjnyOHJcMQgsjNdEh4EgDBu8GYZgWierL0fM3ilIZJLgC3O88eJIOWl8OJZJ5X3a055W7MWkhhkdMxbJlbMDlwWUCceG1OsbHhx4glLakTXJPVnJTheyC07kDj1aNCkjk8WPMjSSCct5wlogjd7pS+6Ix+5Lgp+2eKgLH3UmtnGTW62TP/VoPUvk4HTqhUH6Wz7YddfJ5NeXn3yhcXyJD30lZerZpflDH3YRHdVHJ/bBdvRttyrhFb4WAs95znNKOZoseMKLLsrxWzmwW2MrUMIETS4LZePiImcw0E6KzOyAzMoFCjla9aEZZw453uSTtCeDlHZsQxmsw9sz2fk2+rtXZj5YKEnG0CsWSV0tW/jI1Y2bopdcWxe+no1rdMYv98aMDyVncE49GkFsUnugN3vV3lxMn+EfHxV81bMvsUCgEjydTkp0kZaPsF+nktpbuNgJvu51r+v4it12260cT9PNPJPcS30fZVfKzvUlcIpBFo4Cv3GgR8ZMe6+jnAqywxUDv8kWxZKcWKIZJ00UPDkMq08GZXAJFqfAyQFX5DcAFDKx7CgdOQmOykxSYFn5mdRW5ZS2W5IOOuigQp8AwHHi7eiJ0gCzugWs1bPBA4IJCqzaqGsgDJSkfpKU9nRwHyN1H4N3z7jJYyLOzMwUnZUbTEYAEzssRlO3U0cHumY1hZbOVmUCpeNhu3wycLgcAGfDAdKdEXP6dkEJCnioQycgMUDv3SyEJDz0SSYrNDI5HSCDMTKh9EW2SeQVvOnOJuJY4JGLseuDTZGVPGjd6499kNliwlEjHsolOCTV+ArAFlaODkNf02oPV/YK91ov/dOVfWsbOZPrj5NwJakzYfF0TNqf7OzfArLmoa1nfaN3X6fIm/EzV8wB88kRE1sgn3HVtpYVT/YFN5fxi0zpBw08OUlBkc764oz05djMApcdwESZuaZdLryMnYCpH3MVjRQaOb6wNs8t3JKiI/vUh+R4myz6Vq+P0Mnpgd84c4hs4RE+8MKjLicj2xe8yQkD+sBGOfk4We34HbLGrsgcTOXBWfl8krbhKTcn9aO8voyZ8WRrcKcH+dG455fCK+3Uj2MPwUDfcNB/eONFN2OjPv3zTWjMN++6o3/6Zj/wG2a/5MVvxSCQHXzwwd2rX/3q4r/Iar7HR+E5m4/ic9mdftgYe9Yv2Yyl7zckvsi4Ot1St3wQ2MmZ12Dux0kTBU8BTUcmsJ2JwSOwTk0cVz9ZSUiUAxZ6zlFwoSQDpZwAgK+X8gZCEHDUS9kY0rLBkZ/VIDp9zwyCk/YG0kAbIAbA+DKI+iRfDJNx4ZGJ1Zc3z+jRWAEbYHykAKzP6F6Xk0PwZHzpO7m22hnY8ClMV/GlU/jqmwycuCMJWBl8OjKuBBgy5Isz/RxxxBHFOF7xilcUJ0Me/VmtfvWrXy0GKbAqU8e47NAEsex2LUp8fet9hwUSmeBaJ/KPKy/84EGfpOBJTxeHwCEqN3bZGVsVWlCxFwusYKf/8DB57cg8WwHbMerLCtlkcvytLm3Qkye8yJTxUGcyRl4YaZu+0MHcpc6zy3smC8msdNklW2MLcEof4RV5SsUs/8CCLmzWyQ7nKXCTD27yOkUP/dKFvQgKkTN6aGPMBaLgEBp9sbn6PZB+0CaFD/nIwUacElncrhzsQvNeDG/zWCJL2nl2T0Y7XPwtsNmme4sN48cO9IE28s01h+ibuamNti449vEihwQL8qk3/l45WejTJ/Vvf/vbuwMOOKDjh2AReSIbXfmtlJeGQ/4JvXnGv0TGtCN/PWY1C3Lqp+5ffXSEjfskPKVx7IGdws1c1AffUCe8MueNm/nKP+VDsMzvyKLtXParnr93oqadD1L5OSeM+OlzNh+13377lTGyKCK7ue+1gWTh/YY3vKH7v//7v1JuvuLNl3rPaRPmXSus4TNumih4hnm96qb8OMkEk6w8TQrn617ezgwCoC+0ODlg5eMER55ogGK1Z0UvkNqhmJgGTzJwJq3BZlgpL5WDf2I8eKvzPtJLbO9qamcQerk2+KHx8YMVUNrHMOkd3tqkXG4QU1+Xu0+5NlJdX7fDG2bwef7zn1/0ftWrXlV2lSsGKzWyk9Eunl6Z9AKrd2AWK4wOH0eePuhw+fxeMPKRjA93OOP8NEP/5HHkZYzsVO0+yVzLGbnnI28daIriq/7BI9gyYrroXxkdODK6Wvn7yEM9WegV/D2T1wcDdGQH7ElA1VaZdmmDftxxiN51X2mLp2SnyzZNRI5AGwFEfRYksf+MCX7hvQqK/8jSn9zEzm7XCYQPk5we5GcLGoY+PDOW+sv4pS4dodEuFzplgh3HbgzCNzrnOTzwzPhp+4IXvKDzBb6d+MzAduHPyRpHPOukrcuc9tW6Hbq5bCFtZ2Du22Frq1/9oI8s4aVMkpMhY+3ZFf3k2kp9PdKOvBZ7dr6ScrR8lSBvEToz0Esf4Z3cHPz4xz9e6mIbhUnvHzyNCz+mn8gSecmY9ikLi8ijTerch0ewyTMaSTv349hDbDR9hoc8/bNnR6WwsKmS2GlkIQd6z8Ps12sHvh7e5q0TTR9DwcNHZ6997WvL+0q4z+ajLFYscCwaLES8tuI3+Jtlg0UOO+LHLMrYtQ/t+DSLXV/iCq4CcI6Ro/Ns+UTBUzCTAspsHfTrgKgdRw44g4Cfck5csgNlgFbtdhA+eQZu+jWRpPz+x0rRKimrfc/eJwJO4JMiqzJJoEiwKAVj/sMY4iTkdmLKYpTY6MvA0cGAe0559OfYXfSKbHIXXeBDVsagTeRmoJzlO97xjpIzEhMMvYRWIpO2nDecYMn5SPqAqY9dPvGJTxRnhdZFXjxyCcJ2e57dTyrvO9/5zvIlL/7kDV74kkffgianSVfYRhb0aEzmLKRMEDzqhMYXxyYjvUwMiwpfl8IJTwld+qVTArPy1KPl7DlQ/aNPe/dpL5cETcHiNa95TZm8ytggW9SHHK2x1Y9TFGNWOyjlkUH7+pktcVTp10LAV9dHDj4W42hgRb66jXvjrtypgt2CezySoyEbfNijZ/oKZI7t7QI9S9rAg8z98WMXVvLmA/4clndXnJpAv3z58jKvLX7sCvSTlDnFrn0g59sHX+ZagBi7zHNtXMFg3DmEPin65WQqcoQ3LNiDsYG5S7DHw0V//eZYVBlcpOCEtxOfSVL6IQ+cyeF0SVIXedmR8UygUp86dGSITimXj2MPePO7bKaeG+kfHzRszuLU4h1OsINB+mAPnslofsfWtWe/vrvwm2e/M4anr/B94S557cfPv+hFL+qOOeaY8guE2qcGJ7kxSWwgs3kXn6yebfIpFtZe4fgqXKyJ/+eb3vOe93R+EaCe3Y2TJgqevtwcNwXw5HU7ICpPynPyfnn/GZ0UHnkGnIG0bfc5ep3C2+TvO9+arr7HH0+GkPZyVwyMo0WHRs6gDJqVDjrlSeoYkt1yFg7auCSyCyJo3va2t5Udr6Mz/MhhQUB2XxozPAaeCaY+fPRronOEjl8ZoiMofExKsns/aiJ4x2Sl5xgDv8iDVsKLE3GUl7r0M668jtkZrCAQvMJL4KQTw6WDZIWY4yx0ZJDX44BOuaROUDIh3QuijmxMCicHdjThIdcfjE0+Ez685RyiMouVyKPcJWnvIosjq/e///3dC1/4wiIvvujgblWenTRazkbywYKTFEfJxiJyaRfe6Y8Tsjq2KrZaNiacgbHkKLwDhRuZ4WrM67acF0dn/NielH7IZPzVccbq8WaXvozlZCIbvdCQl0zpQ66OnvDCkyzs26sECQ+2ox/yxZbVocUD3hY8dDJ2jtM4zuWDwMvZRmb5XHMIDoK08dU3mdKXe3ZFBg4ZPhK+bJncgo8xPX7wpbF3Y5J2goB27vGVtJOCkzw4l4o5/sEr8zY89IGvuc6G3OfCzpjRgeza4CHB0n1eWUxiD9rQ3zhZ+I2a8wIs/+EUD450YDsWSIKpBezMzEzZWfuNtgV7bb90Y0dOhshsdxn7oz8f6JWRHalTCPZg09D3UfqGgcvYOeoPn2AGl/hJ2OgbfezIohuN07pFDZ5f/vKXy0CN80+ERxsFx2k3DRp995NJboCtemzdE0z6dJ61By4av3/MMWIMNW04DLqljdzgG6wMkvrIE1qDyFAlPEMjd6wtN5iM2H36ZXB00F5Ciw+DjSPQvwnAEOjKQAUW8uBDr6yqBQ9O0btqMkv6ExT0ld8ECraTymtikZd8edeqn2BCXhM1ZY7nOXDloSEzh0GOONzSoPrHl9iOb7wj9b7O5IWD94TKw0sTOkrGL+UZh1Ix+Ce7njillGurjSNFR42OTzkTyUQXAGAPUzYXvnZhxsOuDOZSXR+ZSsWqf+DAIfk9p/rYgWDDNuAKG7nxYq9JsV/PcIBdbSfK0dhh5p5t4U03bfopAVJ5ZIGPdnnPZG7BzqsOAcyRmcBTHzGHr7bsw+9WYeZY3odK9GAHnLCxC14wCE50HmaTeGorhX/uyQwH/LXNjl49LOzCJYsEDh29MdKnsbBIyAdPyskuqWcTArDf12oXfApB7x9tYWOBApfYYHjJ2bsxoIP69KFt5qV72NfJYmmYPQg0sY/Z7CEBZLY5b6zZQk4M6Uq+9773vWXh6++aSxaR/Jj31uqDCVs1pnR0ulWnYEFG/RiLUT6KrS4bnHRI/Js2Ft75ODW4sYcs3Oq+3MPP/IXZuOk/ER+zVRz0OORWDQSzejGZouQ4badJk8GIoVvJ5p2pAR2WArrBTlBxrzzGrJ1Vi10VB2E3QVeDV/+cRCCyU+QEDC4edh0mGsduZ2QSOEq1s2f8aOzUHEe7dwmAHIt+8s6ZI/a+WL/wtQu1IvS1rTaOLpcPVu+Z8Mrw4Byt8GHC6OIogoUdGxn1ow3j97HRQuTFxwpUMKcDR0VWDkkAkqwen/zkJ5eAoU/Yw9Y4kQcP+MdheJbkPmRDD2+T1gTy0YEJmEkb+jw7KoS7d5aObUxGO3EfJmXnIuBwABwWnnigsyuQyO+IknPCh0Oxy0IXm0NngUBuCxaJHhI68nhG4zn66U/gND7KXXkXzYb1Iwj4Cp4dsDsYsEnyZvcnkDkK89dX7GIlf73G72ktDKXYt0ULXSJL6uSO1LybEtB9MGihYPeR3xUbJ3Joa6chWTTgaa6w8/SjDj50EkAEMk7VO0Xt2bM/tkIffNHVbWabQ3DRhh7sjY2bA3hYwJlzvnvIOPNV8Mz7ac6Wr0OfsXC06BQoNqAuMiUntw+KxknasLG01cZ98OEvYEFOfzBEshs21gIc/eBKP7JarGnPx6AfZg957TWbPcS3zDXnyWnM6iTQKaOXNMp+nZjohx7w9R2GsdIueHtX6Z5PEMhH+Sh2Rm9jaq764tech4+fPbJTcwEffpJvUBbZ9WtO1R/H1ToNu19nwHx45BhGvapstiap4wQ4vHytJ+I7TmOYHBRh41Tk6LV1zxgMimuhKUaJd+4XyjM64uOeM/CehtwMhUNlQByFwaGboOPo1IrUO93o72jMuyWDL+AKJM94xjOK48Dfap3jYWgCqhUafoJLjoTJ4C/H2PGYQIIiJ8GQ4A5Hx4WMiJPniDh6x5jel5ERD6tquyLGysDkJqnVZRzeNOSlu+N0GDma4YQFUc6TrPqltz/zJUCZTGRjN3aU6uNwYZREh4yxHYT3kOisbOsUOjksJXYKE0Fk5eA9seC7YvBBFqzw5Fh9oOPvdcaJCbiOaq3k0eCnP+2PHLyL5NjpYUzw89s3+ApYbGO3wRfoApsFlMlunI8fOEYTXP3MYNeMRjKmxs+7IYHX0ZTxtxBJgIOVY08BB2aCfTCLbJwGW7EgE3AFWDwSDNgwe2Cvvk7ETz/0yxzFSz18LYgdjbMPOw1tjSFsfFgjYBk7NiRIc4D4ZJzoFuxSRgb6otN3nfQd+ozdKJuEE1py+DiOrRs/c4Cc5GeHxlyf+LBBQUU/LngZL3halNr9WKDRo06RvS6b9F6/UnCC7/EDuzBmcPFsgcTuYM3efPDCr3g1Y36R1yJkIfagf/xnw5es6Ng9m7SwZudkIqNFH7kt+mMztf2yc34Nj8QLtgRfutJJzDAP0fR9lH4t5tiXer7B8a65oo1xFUwtzLPjNhfNd4sSviG+2Fzr29tsYzhR8BzFMAYHcELnpXq2woccckiZpOO+M8UPkBJQPC/USMMjso7SpS5Pn/K0T32eOUCDZDDlAgMnKKExUQVHQU1AUwYnTt5g0s+k1kcGMLwZkdU9GngwPoagXtLGRMFHvXJGQYbwQMdYGJh+5Y4pOJGUoeUs1HP6We1pG5ppyWsyMVp9wcsEolf60af3OvSWyCbAwiA00U0uZXxyXwoH/6Q+z6Grc/rqD3/3coE9SR38jE2wjyMTHGOneJLPbp8++qYjXU18dmJuwB0fGHs2dnTVNxvSNkda0ZP9RDZttO9jxs7Qu9DSgXzBjD4WYGTCI8eUwSLyGh/Bwu4LFqnX3r1ALfiqM376CC7q4UFf/ZKDPdoNeVbvSop+cqlfl/qU5zn5bDaJn7nBsXPIfBEZYCzxUZIy848TppPnYAR39+rxsKOV0n95qJ6Vu8ZN0Ute88w9LI0rmelKtrwi0Af86We+ZzdKXmkh9hAMZsM3epKdTRhzOZnZL5vISdso+42e5LV50Nb8MGfYLz6RBe1cPip4wUVim32faq7BRoBFb7Fh7GtZSuNZ/plq8NQPJQHpMgGtqAULK1tf0FlJWJFwRI4aOA/Hi3Y6jhKt6r2od7Qw7Peis+iypFW10YwCfFR5BB1VX/OO0aRN8rp8FJ/QjKrHay6aWpZRfGqa8Iucyevy2fjEgWjnvp/SNvls9eqG8Uib8Eie8uRk1n42HqGdLR/Ff7Y2/bpRPIKremmYrGmbvM/b82x1ffpRtJGlT5/nun4Yj5TJpWG6hFdNO4xuLh6z1c+Hd2gj17Ty8E3e56tcGqa78tnqwzM5+n5KXfJh9crS/yi6tBtVH5tQX/NLO3naJq/rUi8nyyga/ah3pc9hfKJPv27Y80TvPIcxUhbBCWBF5ys1RyVWx1YvjjMdT1pRZAXueMe5um20lbxk9WGrb0Xgj4Vbtdr+e86KsRCuwX8CcnQ2IP2U1R8aFxrya5t2qavbqg8NHtrV9HW9dp7r/kOrbe7TT/2s3TAaPENX9+U+fNAk1TSTyBs+fVn6OqmPDPJhqa6PrHVZ3aYuD21dr78k9exPWcrJV8tY0xpndNqln/SRMuUuqa7znD6SK9NX2ibv91HLg0Z9+k+uPKlPoxxddMt8S9u6PjyS92VJP3LtUx8eaZc8fSRPu+ShS/uUy111wsMlqavHrm43H7zSLrzzXPc7rftgkFxfSe4zrso8Rw/jFbnq8tClXU3jPsn9XDRoawzynP7CDw1eSWRUF51SX5f1aWaTJe1qWcI7MgyjwbPuJ/KlrXycNNXgSSCD55jEi2rbYu/VJDtL72YEUsLn+MN2WjAVWH3EwMi917Ldl5xfrxycn1/XgmcRbvBPgK6NJHXJ0bhqmrRLXWjrPDR1u7q+vh9FEx7j9DMtmlGyTFveml99X+uc8pTlOXnKZ9MdrXrHeXWi51y6zod/zbt/P5t84/QxHxp9D9MtPFLfl9FzaOS5r+mGlQ2rr+nq+1G0o2jQq6vHLrTy3Nd80yb5XDT9ttN6Tr+zyRkZs8jJc/Lw6MuU8tl4z4cm/dVyjOpzgFh3SAAAAZFJREFUVPm0ZBmHz1zzti/jsOdrlwXDaudZJsq7BE3HtYKhHafkf0DxAYV3Qc6z7Uwd0/ogRfAUIL2oB77zZ+9j3Pu6Ku8OM5jzFKuRNwQaAg2BhkBDYKoI/OdSeoGsE/G9hPVxh2NYAdDLbH+myw/6fYAgwAqOVoN2qei09bWjMi/185m5l89otZHkLYgucKBa84ZAQ6Ah0BBYEAJTDZ62woKbz9N98u0TZz+fEDj9XtHO0tEuuvxeJ5+z+1N9gqxA6ZN2X0hJArGvpgTMFjgXNNatcUOgIdAQaAhMCYGpf21bBzhHtn5H5ofHkjpprp0jOm3R+W2oz4r9UXRB1850rvalk/ZPQ6Ah0BBoCDQEFgmBqb/zzA7RDlOgEzgFQ89SAl/KlA+7vBf17tRv0vKbM+9CE4AXCY/GtiHQEGgINAQaAnMisKg7zzrQJagmeM4lmbZ92mFlc/Fp9Q2BhkBDoCHQEJg2AlMPntMWsPFrCDQEGgINgYbAdQ2BqR7bXteUa/I0BBoCDYGGQENgMRD4f+g8E4/CytW5AAAAAElFTkSuQmCC" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "结合可得:![bp_demo_bp_24.png](attachment:bp_demo_bp_24.png)" + ] + }, + { + "attachments": { + "bp_demo_bp_25.png": { + "image/png": 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xzYD31uxmDOYO+zmdIz8eEu7jHve44SY3uUnbefM5/Z0UoIHPGKoOo4cxzvg5tlDqExqe2ccYxBSgjgzksyCjTwmW/kB4wtNPaTOh3X1wwkMpHtHB1a52tTY3M/fw0TcLh2pftuIf+pvPAA86oVMLPCdF4WOR9apXvarp2bt59eKYVwnkMk7+bpza0FHiyf/I4YSJLBkr+SwEyS3eGG/kMAb5cgos4tnaPLSpwtd4vE6PvFP9Urd08jdASuFkBiSpxGiOcQnLsRnCDs5qzQo8H0lhbICCOaedghi3lngtC+mvn/sohAEEGXXeNZGPASQucglmjEa5jmHsPLRXGvU+coW+0rUIoAOUY5omKcOvzYILxxGYsurnqByo8gw/stIXJ3K6YoVrBak+zhieedaOluSc/j4+yrjRMrEciQlOJgxZsggQ7PSnK/Z1vAe8T7VSFvQcl0nw3l/lQx980c4KXD8yoMWPTBA6QFcpCYz1lLGkPCK+gi+dmEh8GC3PsY/kwl/MgehGW3inVJe+rfHwP+gHvH+0wBAM+J6kavKyF4Ab2u5r39CYV6afdvfpK9CSO7S1uSzcjI3/Cyi1f/qqYyeyklmg82z+O3oEwXXPdmi6BDf+4qM4gFZwlXQMH216014vO3FtfCC7MO3xX/6ID1rpp80rA3QtPs2hasvgwdEmJrA7nIonQZlrbJ4xWeDakbGXfvE5NMlgrHDpSAIhu+TrvTD9KyUP/2bGfe5zn8HHXMbmeJk8gAxTPsJW9I0HvnzIPNOffc0v740tsM2XW93qVsPjH//44ZGPfGRbwIjZdrOOiqP76K0xnv0xDkCGrUD6Rx/8yn2dM2ibS+Y7+8WH8Et/9/Bc8Qt1ILS1uZdvfE9gLNlowtNOp+KnezKA8EjekrDFIvamUz7rQz51eKPLf8n6ohe9qC34nO7pd41rXKO1GyeIPvFwGadSu/vwgWsBJ0+aU3yGjPrj6fJcAR14wJjMQePlY+iT/+BZ7NwMlk7+AqLjUMwdVUjg3h1SoPdcBPUey0R5wAMeMDz3uc9tyRS+AZughMwqLorVL4qK4hhJvcllgAa1EcDn7IIXY4eOPu5dJreJSwY7WceL17nOddrkf/e7393eF93rXvdqdB7xiEe0j93ye3byVUN4rpDnjKO2LXJPPmAcjGk15/2VSWxMxk//jrbU3eAGN1h3ovQln2SLhrHZabm3M6FDSRguGZXwlQIqR4cjqFzlKldp9foCAYMexmDnE4CbpOkUgYw5ZkXfePiJd5L0L+BaULAZf7DryaJRQNg1O3UwsRzLCf5k8z4sMuMbnWdMFp/GatJsBGTlixYyFiv6g+iEHPQQ+inxFvDxCY303Yhf2kLHRDcmkzQ75ze+8Y3Dk570pOExj3lMs0d0r0+u0FmmjG7Qi9zGASI7G9CZ9grpqy4yO51gB3PaLuhpT3taS2JkxEMftNhBoIRr8cYX2NK8s+hjW/gZG9+RwMimrgKda8cz+Pi4Mq6Kn3t+h6ZgLtakb9qVaLM1H4QzBvKgk+SR+CX54+0Ckce9uUpeC3ivNiVaC3Z8ontHtF6r+fLbu+fb3/726/zRkiTGPuKo98lPfvLwqEc9qi1o0COz7zDICPwKx7/PgSbZ6N7Cw713z46JxWzP+EzpWz1dmXPGa65sBPDp0WsxdvUMlC66q5D2yMxGIPUVd949XDIqyUgXdOzZ2NJmfPnIUDzN6Rp/xJds/J788Q+LKaef4iAITfPEAkAfekbvnve8Z7M1HanHO6Af0I8cmV/xAbh+gXC3u91tfVFg7lQaoZVSX+MVo+ha/LCJBXKYb5LEkc1i4MYWDbdS7pntTijY5ecUlGSAJrR7K1cKlCwsDAjguZZxkAiXMmzgAwowUEHkFa94RQvUJv8U6MP4gvllLnOZNtn0D20yokVGCnN8aBFjVa7NYsVKzwmFPupMEokBhA6Fo2tiwomscPLMwIINeWo7nAroWKQIqvD0J6OgYdLhj4axc7B8aCWJCiiSPxog/dGgr0996lPtnbNdAlqOFOnOShWP4KdvIzL7M159Z9xp36hE1wRyNCroCXju1dMvoHf1Jp0PuJwc7JoleT4h+DriFFQFT4s+x5cWMO7pvMpTdRtb42NSGjddTIF+9Go35wRCIgpELyZypR9aSnokR3DTd5GSLgA9R9foqTeJHc8aAx2EvpK+EuCqXJWnerT4U3aPaSe39sid+pT6wUl7xqtP+EniLpBFu8WLRMM+AhBcttDfLsRPGQVeeBYCgpMFn8QnIFZ8vF365qryRZa05VmpH3BfwbgAf0pb+gcPjrbgVDw48OFEN+ZSdnza9WM//YKjnr/yLZcPBu28JXhzwMJ39+xVAB35tYCPynywaKfv4zxxx+LZBfDHw4mBj+ScKJCLX/CbLE7ENrFXLBOr1Lu3u7z73e/eYvLTn/704eEPf/hwj3vco50AxJYZN36ZT04ObTYsQqJL7WPQZq46ubPY0D86gTu2T3jpZxzRW+rH9Dd6pgO7/kMO/7VF+IUm+vRmAfTOd76zbYrU8UexVs6gp8hBJnZQbxxkSpvFqwWYb6MsDJzcsOud73zn9rFgeGYcKafGiaY4yU8yZ8Jro/HCQU+eMR/NO/fmk5ji5EeeywniPFpLJ38KEZj8HhJjE5swEoyE5/giiuKUhPEMh2IYysqLYwRvrnCHrzYlkLxrm4c7VY9fIEplZLR8yW2VxoDa7LQlIr/ljNMa39raWpPTBLFS9JMTxvJ+JhMkPPIsgXEyE1sSMc4x4CEAWCBZrJAhoM3k19fpiiN1rx/QZ3Sy2tWjCzfgHo4FmHG9+tWvbh8Eeddoh8EW2kFsEtkkXsGi0gvdZUrjuMIVrtC6mFz4ccIkDc/0yDb1qIwcJmj0QA46d1IgmPC5PNON/hkDZrE1vTzsYQ9bRuSGG74e0LV44Ct4RkdK8tMVHyCjftGpeziuel+FCS2210+iTp1xSST0YxwgtAUdH8wKSvN8ig7MwV2zxRQbxJbo514QJ1uCUeQUPCyIsmiITJEdHtpKYw+QGW0yiw0gtkniMxecAOLtQzTH3SA8IoPgRe/4gNS7V2exlgStDmRs5Kar0FS66BlNcrKncYNKmz0tWsmP/lg3mXN42PwYnwVafEACoTvzJ/LQZxKKOgt1McfpqEW8eS0pP+hBD2py2/k5ERN/LA7MjfgIvmgA42B/+rZ4Jm8WusaUizwWWeaNf0/CopJ+LSbs+p1u+tWH+M1+6OsbyHwit2tZ0D++iy7b4zG+xDLt5kGgyhJ8bfXeM7nNTwnUoserHXzVsxkbiPHu2UqcXZvFcxsjdTZXdEe/7K9Of3qzmBC30ALG4uLH4nE+jH72s5/dTr6c3rCfcQY/8iojR2yJLhvtni0A9SFHbKfUB4RGezj8DzmdBJPZuIOrX+aA71NWnvzt0DDzpbZjYAnec46GIgg5o7AIxUiSp+TPAaNs7VOAljZ4rkUAfhwg/fVT79nkUfoIDfhQw7PgggfjBMjPQPqa9N5XczDv04D6CvgC48vRUm3f7J5DkMXkzvGVACGZc15t+bAjH5hEBm0uz8Ziwnv221CnG4fNfn7iWN/CJ3hK4xMUHN0KBpKOukUgvOGiFch92vOsPXXuU5+6PGsDqXevzUU2P0nj/OwTnWuDr05AWATg0zkalTc/YAO+IKAHL/RNZHoKb/UukDLyeHafC2397BjU2YGlnyRE/prcE3y8ErG72CrgBSyk2FtiidxKgRKO+U2GjEMf+iTTQx7ykHYKI0HBhUNm91Vm/cktKfoJlEAkYDoiZTuLYnOIHsILD/TsWi2e3eciAz6RHb/oJbzMFzSMQ1AE+hunOS+4CrI2H+r1VwK04VhcwEtCCg6b6SeRGoPkYDesv+TrI1h+6Vcu5r1FhON1p3XGQy7z1w7N4i0f8OXDLOMxDknfyYAFL9099alPbUnD60eAn7kNl+6yWIIP1GVMZMdX3PJhn3uyktNYfWToq3Qfq/kgUHt0ilbsqx6/RQBvfqBMfyXgV4A9EmPh0bVFEpnwUecK5Dn0PLt3kZe9vWK00chX+Ootzjw7Ujd+ujaWg2cnUDZSwNzWPzmNbvRlo5zuhC/dehVpA5UEDp9O/bzUuPmE+AqXT2UcSrzg8FPjxIdfebVg0UAHAL+U4V3HrC0xxILJuEH0HlzPm8HmGCMKiAt+riQoyjJYCwFAOIM1WeEDK10/mzAgR36LADoGIQFKXiaSuinAhzHg2E1z6EySih+lWKw4pgKOLO36a8I22SUYkxYIvt71OLbkRNsJ0RmZOEVWk3gKPvg7OgfBdR9ncSxld+EDO4stDs9RyD7WPecFPjoSrCq91jDnD7yKu2iAmENuqWpBD5hAgdjaBBU0BfJMpOCkJDdfgeObBZOvQvSY7yW04VXpxdeDO9VfW+0DJzoTcLJTDp7dnHa+BqZot4Yj8Ie9c4qCTOQxr/i6xMm/4hdVBgsepzMVyGxORWZtCW52NWxlV+so0i6FTzri5ofmKv4Zv75iRuZc2pTk48cgtnavL0BLPEoyybjY2XiB5JvAPaa9trbWcMz5+FdwogNJA55nMoSHsdGBRTo5fSgs8YgxbMx3xBOJxjM54KU/xuGFPxn1oQuLERAdSfRw439O1NCVVOkNHtrsSF7xYswHPfFA/KuJWH0gOvbbeLvgyJz2cYkn3TgRzQKyzk98jEdeiD7RsMhhN8DvovtWcfif4EcHaYNvnH6bX9voQ6xzCk0ecjgG93NkrwYy77wKkazzszw0ABlt8qKb8JtXsr25Ed8VN9gbRAdkxReuNuPET+40BguGKajjSnvsyX7GaqHD/4Nr7sY/0meqXDr5I8IxCGwyE0TA5ZQmtmcTzsrJ+3OCcAyTXSmRUwS8XFOCqYtCJDKDocgYaNwHLW1wsoqK4uFGMe7hkssYgIBhd2LiaQP+eVHHapRKXkbTZyMZ8IgcjcgSf9IvNOjQitaqNZMajp0/53GkAyc60pbLiQwdcGDHxXAdUynhAGV4eTY216KALsclA3/w7jyyLEpjlXixtYl3//vff0M71bHz4QraQstJiaNaq3NH2IKC3ZIvs/kD/fEd344ItAIAH0fDZYLTjZKvVdoWmqmjd4nCzhHtzKtqH/dbBXzJkXFd//rXb/PTbshOxk6WTznejexsK3GwK/nVC5ISqXsyS/wW9I7x1QF86MazhRWfMH/wsGFgH79DNvY6PrLp40QQb6dsTguAQO6j3Gw2JAxzQ3A2Bv20sZdvDG5xi1s0+SQtwT1HtJIBmdHOh1zkR5vtgJMy77ltVship21HhyY+Uz5urhlzLkfpTjayWNGPLGws+YgpcH14TOeVpnF5ZaNdcJek9advm5T4SGIcuYzZaYJ4lV8X0D0dr80SsiNpureQyBz3XRAQE9inyqA+viKW0InnzXyQzJEr9oyNLbQlafqma7JYNHkNkdNXfMVhiTofEusfWvTg0jc6UY5lN0YXnmQCfMp3UvSvD/AKhu+au5kf2sQ0l/7BNa8tauQ6l7hsXgAxgH/TFXz+ZKFhYeZEw8kQmfNLl4zH2GKXyKkNoOPCA+/EBG1wtflHgpyk0aMNDDnEJ9+jWIhsBkv/874EplgK4DQcEhgEozGEoyQ7gSRTitUHrm8DBBxBJIadJ6QBAjQ5FQUop660KeMM6Y9G7ilSu0nt8kwu/Xy0aMKYlIKUiQGX/PrD45xWwRyG/KFbeahb9kp/NIEA57RD4OJo9EdeyWhtNqEttDKWykt/Y+FEHMfkMtksIOgtuJG9lo3xBn/guiwqds92dZzQT4ZMLMe7nI5P0JcLwCcnUOc+Dt4qt/jHOCI7Ep4B2sv4SiZd1QsaZM0OxmsTydE/UuSYTYJmD30scn2AxVf4vH4Ch3pfwgsw5oOdmcTDFuQzB9hTYhPwndDYVZvQaIOMKbJttax6cn/wbActWTh+t2vwCsx89G8zGDsbOi71kZoEbE4Y09NUJ7UAAAjASURBVNrM74zBP/ksIdrhSjiCXmwaGfHhf/RrDmU+SWbqK17u6c7uCA794WmzQH907gQMnz2zo+wnPvGJzf4SOtsIroKthZhFmlMz8hmThRa/k3TNXbTNL7gW0ze72c0aXzjsg57+SkGc7W5605s23sZFTjKj4yM9Cc0rTfVkN+f4gw+iLSLEE5sJCw4fxNEJfZPFLzy0iz14CeIWNACNjXyELIK82Mse/EjwR9vHbfiwHb+S+Pgvu/M1vm1zFlvEfo3x7I/xAe2bzSftLrihoz/5QocP2MA5ETEmmwdySPwWWdolL68eLc74VEBe2T2LNz7kVdposrFdr3lE7wELNzToEg9gYUhPsbkYTh9OarxqoSeyushh0WtOOM6vCwBjceIqHpi3/JB9yeMbjeAaJxripDYnDGI42+JBRy7+bY5Z7MknIDqjCwtGJy/+1UcLCHY2//i5GGGukCm252Pk932XHBDdN8ITf/abMVtqSxHhJELCGwTDmygENglNIiueOALjuDfZOKDdRE4CCDsPwku5qJgZsDL9K/3IQlZXghM5rJolSeMSKBKE04exGd2K3C4DVH6Vz1bvIzOeAooFlAlMPh+qCBacyApWkI6M0U/GXWVzn/bIFbzIn/p5pf4udrSDyXtSsll5cmIf2rF/BX2meBgfP6H/ZWWp9HMfPpEz9ZuVeIc/3MgaevzaeMkp2CjrqlqbVb+kwWf0Mzb6kVj5mGeBgW4EothMAONzgC3RhQfCvz2s6A+awBjJLRiyp6AisUpcgLyCloWOxGnM+sKVCAW1jFMS4QOVtvspnaKtLe1jXaeeX9ALnzcXyUO/ATqVxCRPiU574kjegapjO/20eSb/RrSDQx/sF5uzV04dIkN0iB98QH/ma2xIRmPCF22JCq2MUx0c8mWsAnt0p1zER/Dna3wIbX7oVCR8yGbTxd6SgpKcOVHUDmIP9+mrdC0C6V/lr7Tck9O4Abn5PJkA+SV69pUsA/DkGxebWmSQ3ZU5BxdffoMHPCBBGisedMledG0u51VVxqdkK3PDhkY73IwHPffomwPyHn9C2zzQXzvQbjyeyS8fmv/Grs6lr4WExWLmXmjoa5GEF7lBYgidkQuwpTEr9UUHr9BpSHP+LJ380VmEcPjBzYCt4q1M7WYlf22UHYWlz3aVy8hNhuAzhEBAyVaMVuSOgRkvRtgumdEVAAUNP6niEP7FKYEP/yn9RW4lWJV+0YstrTZNJBPEzsWi6NBDD2387EDsKn1Nyxl97W2HKKFos9Pal6Hqb0p30cFU26LjCo8xfqU9D2fcZ5HnSqve177z6oMzr53M/BBUnNwrA/N0VnGncEJjqi18lVPty9AObuRNWceobh7eZm2hs0j/eTiL+EjlQ6YpvQRH+3ZBxqAEU3IEZ0qGjdrG+Mvgpu+yfebpLPXoge0c52ayR5bgzSv//UJkXutEfZSFQcBA1adNfQafNknSajQrNsEiK6PQ2e4ysiir/OE7JX8UKfFLcI5w1mbHn1Z6OfrXP+MNra2WkUGJd2RGT5J1hCfxWxBYkEzxTZ+UleYU/iKyouFiR68j2M9HlVa/jtEcR1nZOgq1S3L0ZpFnJe+oD66VOzzgBMhRluPJyLlV2RaRfxmcKk/GXfsn0anTnkWYes+pr33RHF+13b320M5zI7aCPxkTUu6n/L/yxh8Oe6dvSm0gMtZxwwkEP2Xq038j3OCkD9zga8vcCO/wqOOCpz1tKefRVg+n0gj/8MlzaMENvfBKm/rQTBk6wck40IUTGsFXutKuH5z6XOVNvyk+aUsZHLTQ3Q7IOFOOZc148SZX2rOpSj9tueBGB+Mx6D/Gy9jUB9yHd62Hi4ZrLIO+adcndFNf6zIObakfy6q+xo6Kq61e4YFnvYJT+4ZPlU/7GJZO/iGIQYXU1zr3lABXEvCOx+4fruMYxxNpH/fbrufIOZZ/Hj/KhcsRHCE6breIsRNHS/sqIfIp43wpvQ925ENn2oM7xT9tKeHU+6k+G9VlnHbuXj+QxW7ecZNjXwsSx3E51vaOl568o6M39RZQ3rEBx3LeK/u3/cmF/hGRbyPZt9IWWZS5n6KjzSIsENyUqZ8q4czDm1c/RWfRukpzI/+PXBUnfdM25pn2efW1vd5X/NQrc1/bc68tc0JdcDfqtwxOHXd4Vj6pG8uR+uCGZ61PW8o6joqXvsrc1/b0V24m7yI0xrRX+Rz5N5IDP+1T+likX+Sdp4vQD14tI1/q0BjTqTj1Pn3G5bh/2mtf9zV2wEm7MvfpO1XOw1uk7/9FrSnKK6qjCLt872cc90v6WfHUFdKK2K2UDNklJsktX6CGwd5KWJkQ/pEKgC+n2Vv8w5McEraPXrwLBhZ13kn5OIY83ln65yV9xOOUx4cvPuohb3V0NLzripOmbET7n66BroGuga6BbdXAtif/JE8fybkqSBbzVkgV78i8T4JVWrDkmdwZG/m2M3mFp6N+PCXh1O0t3WR8vnfwEQpZfBTla1dJPv/wUT60IZevbZ0M+PjFqwF9JHyyWzDkI5WMYW+PKXx72TXQNdA1sNM08J9n99sw+gR0O3y7fwlAmaNr7fsyJOkp7Vwd9yuzaFEfnO0aR+jjnVOA1G0XzzFd/NjKP6Dk61mJfc/s1w9k8jtgCyPg+brXvW579msFv4rwqsIJgO8DfLOAlvvoMbT39pjGY+zPXQNdA10DO0UD277zT0DPTnms2LSP6/vzvqWBJGjfanjf73fJfnriQ766gGNnpwOuKbDwg+P0wAeAfr3gFwGh3/1hSmu9rmuga6BrYLUa2Pad/2rF7dSOLA3kBEfp1MYO3od8+WYjSVt7cLTVy+mA3b7TH79csAjwbz+E9pE1ts63a6BroGtgp2lgS7/z32lK6uP9twaSpJWBZXfsoZH+KefVp72XXQNdA10DXQOr00BP/qvTZafUNdA10DXQNdA18F+hgX7s/19hpi5k10DXQNdA10DXwOo08L9vcHh3eETVigAAAABJRU5ErkJggg==" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "现在可以更新w1了:\n", + " ![bp_demo_bp_25.png](attachment:bp_demo_bp_25.png)" + ] + }, + { + "attachments": { + "bp_demo_bp_26.png": { + "image/png": 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+ } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "同样的步骤可以得到:\n", + "![bp_demo_bp_26.png](attachment:bp_demo_bp_26.png)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "最后,更新了所有的权重! 当最初前馈传播时输入为0.05和0.1,网络上的误差是0.298371109。 在第一轮反向传播之后,总误差现在下降到0.291027924。 它可能看起来不太多,但是在重复此过程10,000次之后。例如,错误倾斜到0.000035085。建议先理解整体步骤,然后自己再推导一遍。下面以输入向量$\\vec{x}$为例子,理解神经网络传输过程。" + ] + }, + { "cell_type": "markdown", "metadata": {}, "source": [ @@ -4990,7 +5543,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.9" + "version": "3.8.8" } }, "nbformat": 4, diff --git a/5_nn/images/bp_demo_1.png b/5_nn/images/bp_demo_1.png new file mode 100644 index 0000000000000000000000000000000000000000..1a3e4495d1754556f2808dac81face81e5641304 GIT binary patch literal 42743 zcmV+SrU+SyP)WC{bV`r$F6>JpZNa zmncx8K#2lDfs!yR6@(H6N)#wjz$s9#M1>LsN)#wjpjZ@O)~!yRI+kztP43vgM^h4p 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