{"id":1954,"date":"2023-04-28T11:01:53","date_gmt":"2023-04-28T02:01:53","guid":{"rendered":"https:\/\/edu.ujhb.org\/?p=1954"},"modified":"2023-04-28T11:01:53","modified_gmt":"2023-04-28T02:01:53","slug":"numpy%e5%85%a5%e9%96%80%ef%bc%88%e6%97%a5%e6%9c%ac%e8%aa%9e%e7%89%88%ef%bc%89","status":"publish","type":"post","link":"https:\/\/edu.ujhb.org\/?p=1954","title":{"rendered":"Numpy\u5165\u9580\uff08\u65e5\u672c\u8a9e\u7248\uff09"},"content":{"rendered":"\n<p>\u30a2\u30ec\u30f3\u30b8\u3057\u3066\u3082\u3089\u3048\u307e\u3059\u304b\u3002Numpy \u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u304b\u3089\u59cb\u3081\u307e\u3057\u3087\u3046\u3002\u3053\u308c\u304b\u3089\u8aac\u660e\u3059\u308b\u5185\u5bb9\u306e\u6982\u8981\u3092\u6559\u3048\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<p>\u3082\u3061\u308d\u3093\uff01\u4ee5\u4e0b\u306f\u3001Numpy \u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb \u30d3\u30c7\u30aa\u306e\u4e88\u5099\u7684\u306a\u6982\u8981\u3067\u3059\u3002\u5b9f\u969b\u306e\u30cb\u30fc\u30ba\u306b\u5408\u308f\u305b\u3066\u8abf\u6574\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u306f\u3058\u3081\u306b a. Numpy \u306e\u7d39\u4ecb b. Numpy \u3092\u4f7f\u7528\u3059\u308b\u7406\u7531 c. \u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3068\u74b0\u5883\u8a2d\u5b9a<\/li>\n\n\n\n<li>Numpy \u306e\u57fa\u672c a. Numpy \u914d\u5217\u306e\u4f5c\u6210 b. \u914d\u5217\u5c5e\u6027 c. \u914d\u5217\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3068\u30b9\u30e9\u30a4\u30b9 d. \u914d\u5217\u306e\u5f62\u72b6\u3068\u6b21\u5143\u306e\u5909\u63db<\/li>\n\n\n\n<li>Numpy \u914d\u5217\u64cd\u4f5c a. \u914d\u5217\u306e\u30b9\u30d7\u30e9\u30a4\u30b7\u30f3\u30b0\u3068\u5206\u5272 b. \u914d\u5217\u306e\u30d6\u30ed\u30fc\u30c9\u30ad\u30e3\u30b9\u30c8 c. \u914d\u5217\u306e\u7e70\u308a\u8fd4\u3057 d. \u914d\u5217\u306e\u4e26\u3079\u66ff\u3048\u3001\u691c\u7d22\u3001\u30ab\u30a6\u30f3\u30c8<\/li>\n\n\n\n<li>\u6570\u5b66\u95a2\u6570\u3068\u7d71\u8a08\u95a2\u6570 a. \u57fa\u672c\u7684\u306a\u6570\u5b66\u6f14\u7b97 b. \u7dda\u5f62\u4ee3\u6570\u6f14\u7b97 c. \u7d71\u8a08\u95a2\u6570 d. \u4e71\u6570\u751f\u6210<\/li>\n\n\n\n<li>Numpy \u306e\u9ad8\u5ea6\u306a\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3 a. \u69cb\u9020\u5316\u914d\u5217 b. \u914d\u5217\u3068\u30d5\u30a1\u30a4\u30eb\u306e\u5165\u51fa\u529b c. \u30e1\u30e2\u30ea \u30de\u30c3\u30d7\u30c9 \u30d5\u30a1\u30a4\u30eb d. \u914d\u5217\u306e\u6761\u4ef6\u3068\u8ad6\u7406\u6f14\u7b97<\/li>\n\n\n\n<li>Numpy \u5b9f\u969b\u306e\u30b1\u30fc\u30b9 a. \u30c7\u30fc\u30bf\u51e6\u7406\u3068\u5206\u6790 b. \u753b\u50cf\u51e6\u7406 c. \u6a5f\u68b0\u5b66\u7fd2\u306e\u57fa\u790e<\/li>\n\n\n\n<li>\u7d50\u8ad6 a. Numpy \u5b66\u7fd2\u30ea\u30bd\u30fc\u30b9\u306e\u63a8\u5968\u4e8b\u9805 b. \u4ed6\u306e\u95a2\u9023\u30e9\u30a4\u30d6\u30e9\u30ea (SciPy\u3001Pandas \u306a\u3069) \u306e\u7d39\u4ecb c. \u7df4\u7fd2\u3068\u63a2\u7d22\u3092\u5968\u52b1\u3059\u308b<\/li>\n<\/ol>\n\n\n\n<p>\u3053\u306e\u6982\u8981\u304c Numpy \u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb \u30d3\u30c7\u30aa\u306e\u4f5c\u6210\u306b\u5f79\u7acb\u3064\u3053\u3068\u3092\u9858\u3063\u3066\u3044\u307e\u3059!&nbsp;\u3055\u3089\u306b\u8a73\u7d30\u304c\u5fc5\u8981\u306a\u5834\u5408\u306f\u3001\u304a\u6c17\u8efd\u306b\u304a\u77e5\u3089\u305b\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>Numpy \u306e\u7d39\u4ecb\u3092\u8a73\u3057\u304f\u8aac\u660e\u3057\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<p>Numpy (Numerical Python) \u306f\u3001\u6570\u5024\u304a\u3088\u3073\u79d1\u5b66\u8a08\u7b97\u30bf\u30b9\u30af\u3092\u51e6\u7406\u3059\u308b\u305f\u3081\u306b\u8a2d\u8a08\u3055\u308c\u305f\u30aa\u30fc\u30d7\u30f3 \u30bd\u30fc\u30b9\u306e Python \u30e9\u30a4\u30d6\u30e9\u30ea\u3067\u3059\u3002\u5f37\u529b\u306a\u591a\u6b21\u5143\u914d\u5217\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u3001\u30d6\u30ed\u30fc\u30c9\u30ad\u30e3\u30b9\u30c8\u6a5f\u80fd\u3001\u304a\u3088\u3073\u3055\u307e\u3056\u307e\u306a\u6570\u5b66\u7684\u95a2\u6570\u3001\u7dda\u5f62\u4ee3\u6570\u95a2\u6570\u3001\u304a\u3088\u3073\u7d71\u8a08\u95a2\u6570\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u6a5f\u80fd\u306b\u3088\u308a\u3001Numpy \u306f\u3001\u79d1\u5b66\u7814\u7a76\u3001\u5de5\u5b66\u3001\u91d1\u878d\u3001\u304a\u3088\u3073\u6a5f\u68b0\u5b66\u7fd2\u3067\u5e83\u304f\u4f7f\u7528\u3055\u308c\u3066\u3044\u308b\u591a\u6570\u306e\u30c7\u30fc\u30bf\u51e6\u7406\u304a\u3088\u3073\u5206\u6790\u30bf\u30b9\u30af\u306e\u57fa\u672c\u30e9\u30a4\u30d6\u30e9\u30ea\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>Numpy \u306e\u30b3\u30a2\u6a5f\u80fd\u306f\u3001Python \u306e\u7d44\u307f\u8fbc\u307f\u30ea\u30b9\u30c8 (\u30ea\u30b9\u30c8) \u3088\u308a\u3082\u512a\u308c\u305f\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u3068\u8c4a\u5bcc\u306a\u6a5f\u80fd\u3092\u5099\u3048\u305f\u3001\u9ad8\u6027\u80fd\u306a\u591a\u6b21\u5143\u914d\u5217\u30aa\u30d6\u30b8\u30a7\u30af\u30c8 (ndarray) \u3092\u63d0\u4f9b\u3059\u308b\u3053\u3068\u3067\u3059\u3002Numpy \u914d\u5217\u306e\u5229\u70b9\u306f\u3001\u4e3b\u306b\u6b21\u306e\u5074\u9762\u306b\u53cd\u6620\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9: Numpy \u914d\u5217\u306e\u6700\u4e0b\u5c64\u306f C \u8a00\u8a9e\u3067\u5b9f\u88c5\u3055\u308c\u3001\u30e1\u30e2\u30ea\u306f\u7d99\u7d9a\u7684\u306b\u683c\u7d0d\u3055\u308c\u3001\u8a08\u7b97\u901f\u5ea6\u304c\u901f\u304f\u3001\u30e1\u30e2\u30ea \u30d5\u30c3\u30c8\u30d7\u30ea\u30f3\u30c8\u304c\u5c0f\u3055\u304f\u306a\u308a\u307e\u3059\u3002\u7d14\u7c8b\u306a Python \u5b9f\u88c5\u3068\u6bd4\u8f03\u3057\u3066\u3001Numpy \u306f\u30b3\u30f3\u30d4\u30e5\u30fc\u30c6\u30a3\u30f3\u30b0 \u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u3092\u5927\u5e45\u306b\u5411\u4e0a\u3055\u305b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/li>\n\n\n\n<li>\u7c21\u6f54\u3055: Numpy \u306f\u8c4a\u5bcc\u306a\u6570\u5b66\u95a2\u6570\u3068\u6f14\u7b97\u3092\u63d0\u4f9b\u3057\u3001\u914d\u5217\u306b\u5bfe\u3057\u3066\u52a0\u7b97\u3001\u6e1b\u7b97\u3001\u4e57\u7b97\u3001\u9664\u7b97\u306a\u3069\u306e\u6f14\u7b97\u3092\u7c21\u5358\u306b\u5b9f\u884c\u3067\u304d\u3001\u884c\u5217\u306e\u4e57\u7b97\u3084\u7dda\u5f62\u65b9\u7a0b\u5f0f\u306e\u89e3\u6cd5\u306a\u3069\u306e\u8907\u96d1\u306a\u6570\u5b66\u6f14\u7b97\u3092\u5b9f\u73fe\u3067\u304d\u307e\u3059\u3002<\/li>\n\n\n\n<li>\u67d4\u8edf\u6027: Numpy \u306f\u914d\u5217\u306e\u30d6\u30ed\u30fc\u30c9\u30ad\u30e3\u30b9\u30c8\u3092\u30b5\u30dd\u30fc\u30c8\u3057\u3001\u7570\u306a\u308b\u6b21\u5143\u3068\u5f62\u72b6\u306e\u914d\u5217\u9593\u306e\u64cd\u4f5c\u3092\u7c21\u5358\u306b\u51e6\u7406\u3067\u304d\u307e\u3059\u3002\u540c\u6642\u306b\u3001Numpy \u306f\u3001\u914d\u5217\u8981\u7d20\u306b\u7c21\u5358\u306b\u30a2\u30af\u30bb\u30b9\u3057\u3066\u5909\u66f4\u3067\u304d\u308b\u8c4a\u5bcc\u306a\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u4f5c\u6210\u6a5f\u80fd\u3068\u30b9\u30e9\u30a4\u30b9\u6a5f\u80fd\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002<\/li>\n\n\n\n<li>\u30e6\u30cb\u30d0\u30fc\u30b5\u30eb: Numpy \u306f\u3001SciPy\u3001Pandas\u3001Matplotlib \u306a\u3069\u3001\u4ed6\u306e\u591a\u304f\u306e Python \u30e9\u30a4\u30d6\u30e9\u30ea\u3068\u4e92\u63db\u6027\u304c\u3042\u308a\u3001Python \u79d1\u5b66\u8a08\u7b97\u30a8\u30b3\u30b7\u30b9\u30c6\u30e0\u306e\u57fa\u790e\u3067\u3059\u3002\u3055\u3089\u306b\u3001Numpy \u306e API \u306f\u3001\u4ed6\u306e\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u8a00\u8a9e\u306e\u6570\u5024\u8a08\u7b97\u30e9\u30a4\u30d6\u30e9\u30ea\u3067\u3082\u5e83\u304f\u4f7f\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/li>\n<\/ol>\n\n\n\n<p>\u3064\u307e\u308a\u3001Numpy \u306f\u5f37\u529b\u3067\u512a\u308c\u305f\u6570\u5024\u8a08\u7b97\u30e9\u30a4\u30d6\u30e9\u30ea\u3067\u3042\u308a\u3001\u5927\u91cf\u306e\u30c7\u30fc\u30bf\u3084\u8907\u96d1\u306a\u6570\u5b66\u6f14\u7b97\u306e\u51e6\u7406\u306b\u975e\u5e38\u306b\u9069\u3057\u3066\u3044\u307e\u3059\u3002Numpy \u3092\u5b66\u7fd2\u3057\u3066\u7fd2\u5f97\u3059\u308b\u3053\u3068\u306f\u3001\u79d1\u5b66\u8a08\u7b97\u3068\u30c7\u30fc\u30bf\u5206\u6790\u306e\u5206\u91ce\u3067 Python \u3092\u3055\u3089\u306b\u7814\u7a76\u3059\u308b\u306e\u306b\u975e\u5e38\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>Numpy \u3092\u4f7f\u7528\u3059\u308b\u7406\u7531\u3092\u8a73\u3057\u304f\u8aac\u660e\u3057\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<p>Numpy \u3092\u4f7f\u7528\u3059\u308b\u7406\u7531\u306f\u3001\u4e3b\u306b\u6b21\u306e\u5074\u9762\u304b\u3089\u8aac\u660e\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u9ad8\u3044\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9: Numpy \u306e\u57fa\u306b\u306a\u308b\u30b3\u30fc\u30c9\u306f C \u8a00\u8a9e\u3067\u8a18\u8ff0\u3055\u308c\u3066\u3044\u308b\u305f\u3081\u3001\u305d\u306e\u8a08\u7b97\u901f\u5ea6\u306f\u7d14\u7c8b\u306a Python \u30b3\u30fc\u30c9\u3088\u308a\u3082\u306f\u308b\u304b\u306b\u9ad8\u901f\u3067\u3059\u3002Numpy \u306f\u3001\u5927\u91cf\u306e\u30c7\u30fc\u30bf\u3092\u51e6\u7406\u3057\u3001\u8907\u96d1\u306a\u6570\u5b66\u6f14\u7b97\u3092\u5b9f\u884c\u3059\u308b\u3068\u304d\u306b\u3001\u30d7\u30ed\u30b0\u30e9\u30e0\u306e\u901f\u5ea6\u3092\u5927\u5e45\u306b\u5411\u4e0a\u3055\u305b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/li>\n\n\n\n<li>\u4f7f\u3044\u3084\u3059\u3055: Numpy \u306b\u306f\u4f7f\u3044\u3084\u3059\u3044\u95a2\u6570\u3084\u30e1\u30bd\u30c3\u30c9\u304c\u591a\u6570\u7528\u610f\u3055\u308c\u3066\u3044\u308b\u305f\u3081\u3001\u6570\u5024\u8a08\u7b97\u3084\u30c7\u30fc\u30bf\u51e6\u7406\u3092\u975e\u5e38\u306b\u7c21\u5358\u306b\u5b9f\u884c\u3067\u304d\u307e\u3059\u3002Numpy \u306e\u914d\u5217\u6f14\u7b97\u3068\u884c\u5217\u6f14\u7b97\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u591a\u304f\u306e\u30eb\u30fc\u30d7\u3084\u6761\u4ef6\u30b9\u30c6\u30fc\u30c8\u30e1\u30f3\u30c8\u3092\u8a18\u8ff0\u3059\u308b\u3053\u3068\u306a\u304f\u3001\u7c21\u6f54\u306a\u30b3\u30fc\u30c9\u3067\u8907\u96d1\u306a\u6570\u5b66\u6f14\u7b97\u3092\u5b9f\u88c5\u3067\u304d\u307e\u3059\u3002<\/li>\n\n\n\n<li>\u5f37\u529b\u306a\u95a2\u6570: Numpy \u306f\u591a\u6b21\u5143\u914d\u5217 (ndarray) \u3068\u884c\u5217\u6f14\u7b97\u3092\u30b5\u30dd\u30fc\u30c8\u3057\u3001\u30d6\u30ed\u30fc\u30c9\u30ad\u30e3\u30b9\u30c8\u95a2\u6570\u3068\u8c4a\u5bcc\u306a\u6570\u5b66\u3001\u7d71\u8a08\u3001\u7dda\u5f62\u4ee3\u6570\u95a2\u6570\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u6a5f\u80fd\u306b\u3088\u308a\u3001Numpy \u306f\u79d1\u5b66\u8a08\u7b97\u3001\u30c7\u30fc\u30bf\u51e6\u7406\u3001\u6a5f\u68b0\u5b66\u7fd2\u306a\u3069\u306e\u30bf\u30b9\u30af\u306b\u6700\u9069\u3067\u3059\u3002<\/li>\n\n\n\n<li>\u67d4\u8edf\u306a\u30c7\u30fc\u30bf\u64cd\u4f5c: Numpy \u306f\u8c4a\u5bcc\u306a\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u4f5c\u6210\u6a5f\u80fd\u3068\u30b9\u30e9\u30a4\u30b9\u6a5f\u80fd\u3092\u63d0\u4f9b\u3057\u3001\u30e6\u30fc\u30b6\u30fc\u304c\u914d\u5217\u306e\u8981\u7d20\u306b\u7c21\u5358\u306b\u30a2\u30af\u30bb\u30b9\u3057\u3066\u5909\u66f4\u3067\u304d\u308b\u3088\u3046\u306b\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001Numpy \u306f\u5f62\u72b6\u5909\u63db\u3001\u30b9\u30d7\u30e9\u30a4\u30b7\u30f3\u30b0\u3001\u914d\u5217\u306e\u5206\u5272\u306a\u3069\u306e\u64cd\u4f5c\u3082\u30b5\u30dd\u30fc\u30c8\u3057\u3066\u304a\u308a\u3001\u30c7\u30fc\u30bf\u51e6\u7406\u306b\u512a\u308c\u305f\u67d4\u8edf\u6027\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002<\/li>\n\n\n\n<li>\u5e45\u5e83\u3044\u4e92\u63db\u6027: Numpy \u306f\u3001\u4ed6\u306e\u591a\u304f\u306e Python \u30e9\u30a4\u30d6\u30e9\u30ea (SciPy\u3001Pandas\u3001Matplotlib \u306a\u3069) \u3068\u5341\u5206\u306b\u4e92\u63db\u6027\u304c\u3042\u308a\u3001Python \u79d1\u5b66\u8a08\u7b97\u30a8\u30b3\u30b7\u30b9\u30c6\u30e0\u306e\u57fa\u76e4\u3067\u3059\u3002\u591a\u304f\u306e\u30c7\u30fc\u30bf\u5206\u6790\u304a\u3088\u3073\u6a5f\u68b0\u5b66\u7fd2\u30e9\u30a4\u30d6\u30e9\u30ea\u306f Numpy \u306e\u6a5f\u80fd\u306b\u4f9d\u5b58\u3057\u3066\u3044\u308b\u305f\u3081\u3001Numpy \u3092\u5b66\u7fd2\u3059\u308b\u3053\u3068\u306f\u3001Python \u30c7\u30fc\u30bf \u30b5\u30a4\u30a8\u30f3\u30b9\u306e\u5206\u91ce\u3092\u3055\u3089\u306b\u7fd2\u5f97\u3059\u308b\u4e0a\u3067\u975e\u5e38\u306b\u91cd\u8981\u3067\u3059\u3002<\/li>\n\n\n\n<li>\u6d3b\u767a\u306a\u30b3\u30df\u30e5\u30cb\u30c6\u30a3: Numpy \u306b\u306f\u5927\u898f\u6a21\u3067\u6d3b\u767a\u306a\u30b3\u30df\u30e5\u30cb\u30c6\u30a3\u304c\u3042\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u5927\u91cf\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3001\u4f8b\u3001\u30bd\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u30aa\u30fc\u30d7\u30f3 \u30bd\u30fc\u30b9 \u30d7\u30ed\u30b8\u30a7\u30af\u30c8\u3068\u3057\u3066\u306e Numpy \u306f\u3001\u6570\u5024\u8a08\u7b97\u306e\u9032\u5316\u3059\u308b\u30cb\u30fc\u30ba\u3092\u6e80\u305f\u3059\u305f\u3081\u306b\u3001\u30b3\u30df\u30e5\u30cb\u30c6\u30a3\u306b\u3088\u3063\u3066\u7d99\u7d9a\u7684\u306b\u7dad\u6301\u304a\u3088\u3073\u66f4\u65b0\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/li>\n<\/ol>\n\n\n\n<p>\u8981\u7d04\u3059\u308b\u3068\u3001Numpy \u306f\u3001\u305d\u306e\u9ad8\u6027\u80fd\u3001\u4f7f\u3044\u3084\u3059\u3055\u3001\u5f37\u529b\u306a\u6a5f\u80fd\u3001\u304a\u3088\u3073\u5e45\u5e83\u3044\u4e92\u63db\u6027\u306b\u3088\u308a\u3001Python \u306e\u6570\u5024\u8a08\u7b97\u304a\u3088\u3073\u30c7\u30fc\u30bf\u51e6\u7406\u306b\u597d\u307e\u308c\u308b\u30e9\u30a4\u30d6\u30e9\u30ea\u306b\u306a\u308a\u307e\u3057\u305f\u3002Numpy \u3092\u30de\u30b9\u30bf\u30fc\u3059\u308b\u3053\u3068\u306f\u3001Python \u3092\u5b66\u7fd2\u3057\u3001\u79d1\u5b66\u8a08\u7b97\u3068\u30c7\u30fc\u30bf\u5206\u6790\u306e\u5206\u91ce\u306b\u9069\u7528\u3059\u308b\u4e0a\u3067\u91cd\u8981\u306a\u5f79\u5272\u3092\u679c\u305f\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3068\u74b0\u5883\u69cb\u6210\u3092\u8a73\u3057\u304f\u8aac\u660e\u3057\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<p>Numpy \u306e\u4f7f\u7528\u3092\u958b\u59cb\u3059\u308b\u524d\u306b\u3001Numpy \u30e9\u30a4\u30d6\u30e9\u30ea\u3092\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3057\u3001\u5bfe\u5fdc\u3059\u308b Python \u74b0\u5883\u3092\u69cb\u6210\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3068\u74b0\u5883\u69cb\u6210\u306e\u8a73\u7d30\u306a\u624b\u9806\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Python \u3092\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3059\u308b: \u307e\u305a\u3001\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc\u306b Python \u304c\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3055\u308c\u3066\u3044\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3055\u308c\u3066\u3044\u306a\u3044\u5834\u5408\u306f\u3001Python \u516c\u5f0f Web \u30b5\u30a4\u30c8 (&nbsp;<a href=\"https:\/\/www.python.org\/%EF%BC%89%E4%B8%8B%E8%BD%BD%E5%B9%B6%E5%AE%89%E8%A3%85%E5%90%88%E9%80%82%E7%9A%84Python%E7%89%88%E6%9C%AC%E3%80%82%E5%AF%B9%E4%BA%8E%E5%A4%A7%E5%A4%9A%E6%95%B0%E7%94%A8%E6%88%B7%EF%BC%8C%E5%AE%89%E8%A3%85Python\">https:\/\/www.python.org\/) \u306b\u30a2\u30af\u30bb\u30b9\u3057\u3066\u3001\u9069\u5207\u306a Python \u30d0\u30fc\u30b8\u30e7\u30f3\u3092\u30c0\u30a6\u30f3\u30ed\u30fc\u30c9\u3057\u3066\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u307b\u3068\u3093\u3069\u306e\u30e6\u30fc\u30b6\u30fc\u306b\u3068\u3063\u3066\u3001Python<\/a>&nbsp;3.x \u30d0\u30fc\u30b8\u30e7\u30f3\u306e\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u306f\u9069\u5207\u306a\u9078\u629e\u3067\u3059\u3002<\/li>\n\n\n\n<li>Python \u74b0\u5883\u3092\u69cb\u6210\u3059\u308b: \u4eee\u60f3\u74b0\u5883 (\u4eee\u60f3\u74b0\u5883) \u3092\u4f7f\u7528\u3057\u3066 Python \u30d7\u30ed\u30b8\u30a7\u30af\u30c8\u3092\u69cb\u6210\u3059\u308b\u3053\u3068\u3092\u5f37\u304f\u304a\u52e7\u3081\u3057\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u7570\u306a\u308b\u30d7\u30ed\u30b8\u30a7\u30af\u30c8\u9593\u3067\u306e\u4f9d\u5b58\u95a2\u4fc2\u30e9\u30a4\u30d6\u30e9\u30ea\u306e\u30d0\u30fc\u30b8\u30e7\u30f3\u306e\u7af6\u5408\u3092\u56de\u907f\u3067\u304d\u307e\u3059\u3002\u4eee\u60f3\u74b0\u5883\u3092\u4f5c\u6210\u3059\u308b\u624b\u9806\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059: a. \u30bf\u30fc\u30df\u30ca\u30eb (\u30bf\u30fc\u30df\u30ca\u30eb) \u307e\u305f\u306f\u30b3\u30de\u30f3\u30c9 \u30d7\u30ed\u30f3\u30d7\u30c8 (\u30b3\u30de\u30f3\u30c9 \u30d7\u30ed\u30f3\u30d7\u30c8) \u3092\u958b\u304d\u307e\u3059\u3002b. \u6b21\u306e\u30b3\u30de\u30f3\u30c9\u3092\u4f7f\u7528\u3057\u3066\u3001\u65b0\u3057\u3044\u4eee\u60f3\u74b0\u5883\u3092\u4f5c\u6210\u3057\u307e\u3059: \u30b3\u30fc\u30c9\u306e\u30b3\u30d4\u30fc<code>python3 -m venv my_numpy_env&nbsp;<\/code>\u3053\u3053\u306b<code>my_numpy_env<\/code>\u4eee\u60f3\u74b0\u5883\u306e\u540d\u524d\u3092\u793a\u3057\u307e\u3059\u3002\u5fc5\u8981\u306b\u5fdc\u3058\u3066\u5909\u66f4\u3067\u304d\u307e\u3059\u3002c. \u4eee\u60f3\u74b0\u5883\u3092\u30a2\u30af\u30c6\u30a3\u30d6\u306b\u3057\u307e\u3059\u3002Windows \u3067\u306f\u3001\u6b21\u306e\u30b3\u30de\u30f3\u30c9\u3092\u5b9f\u884c\u3057\u307e\u3059: \u30b3\u30fc\u30c9\u306e\u30b3\u30d4\u30fc<code>my_numpy_env\\Scripts\\activate&nbsp;<\/code>macOS \u307e\u305f\u306f Linux \u3067\u306f\u3001\u6b21\u306e\u30b3\u30de\u30f3\u30c9\u3092\u5b9f\u884c\u3057\u307e\u3059: bash\u30b3\u30fc\u30c9\u306e\u30b3\u30d4\u30fc<code>source my_numpy_env\/bin\/activate&nbsp;<\/code>\u4eee\u60f3\u74b0\u5883\u304c\u6b63\u5e38\u306b\u30a2\u30af\u30c6\u30a3\u30d6\u5316\u3055\u308c\u308b\u3068\u3001\u30bf\u30fc\u30df\u30ca\u30eb\u307e\u305f\u306f\u30b3\u30de\u30f3\u30c9 \u30d7\u30ed\u30f3\u30d7\u30c8\u306b\u4eee\u60f3\u74b0\u5883\u306e\u540d\u524d\u304c\u8868\u793a\u3055\u308c\u307e\u3059\u3002<\/li>\n\n\n\n<li>Numpy \u306e\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb: \u30a2\u30af\u30c6\u30a3\u30d6\u5316\u3055\u308c\u305f\u4eee\u60f3\u74b0\u5883\u3067\u3001\u6b21\u306e\u30b3\u30de\u30f3\u30c9\u3092\u4f7f\u7528\u3057\u3066 Numpy \u3092\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3057\u307e\u3059<code>pip install numpy&nbsp;<\/code>\u3002<\/li>\n\n\n\n<li>\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u306e\u78ba\u8a8d: Python \u30a4\u30f3\u30bf\u30e9\u30af\u30c6\u30a3\u30d6 \u30a4\u30f3\u30bf\u30fc\u30d7\u30ea\u30bf\u30fc\u3092\u958b\u304d\u3001\u6b21\u306e\u30b3\u30de\u30f3\u30c9\u3092\u5165\u529b\u3057\u307e\u3059<code>import numpy as np print(np.__version__)&nbsp;<\/code>\u3002<\/li>\n<\/ol>\n\n\n\n<p>Numpy \u306e\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3068\u74b0\u5883\u8a2d\u5b9a\u304c\u5b8c\u4e86\u3057\u305f\u306e\u3067\u3001Numpy \u30e9\u30a4\u30d6\u30e9\u30ea\u3092\u4f7f\u7528\u3057\u3066\u6570\u5024\u8a08\u7b97\u3068\u30c7\u30fc\u30bf\u51e6\u7406\u30bf\u30b9\u30af\u3092\u958b\u59cb\u3067\u304d\u307e\u3059\u3002\u5b9f\u969b\u306e\u30d7\u30ed\u30b8\u30a7\u30af\u30c8\u3067\u306f\u3001SciPy\u3001Pandas\u3001Matplotlib \u306a\u3069\u306e\u4ed6\u306e Python \u30e9\u30a4\u30d6\u30e9\u30ea\u3092\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3057\u3066\u69cb\u6210\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u5834\u5408\u3082\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u30e9\u30a4\u30d6\u30e9\u30ea\u3092\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3059\u308b\u30d7\u30ed\u30bb\u30b9\u306f\u3001Numpy \u3092\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3059\u308b\u306e\u3068\u4f3c\u3066\u3044\u307e\u3059\u3002<code>pip install<\/code>\u30b3\u30de\u30f3\u30c9\u3092\u4f7f\u7528\u3059\u308b\u3060\u3051\u3067\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>Numpy \u914d\u5217\u306e\u4f5c\u6210\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u8aac\u660e\u3057\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<p>Numpy \u306b\u306f\u3001\u914d\u5217\u3092\u4f5c\u6210\u3059\u308b\u305f\u3081\u306e\u3055\u307e\u3056\u307e\u306a\u30e1\u30bd\u30c3\u30c9\u304c\u7528\u610f\u3055\u308c\u3066\u3044\u307e\u3059\u3002Numpy \u914d\u5217\u3092\u4f5c\u6210\u3059\u308b\u4e00\u822c\u7684\u306a\u65b9\u6cd5\u3092\u6b21\u306b\u793a\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Python \u30ea\u30b9\u30c8\u307e\u305f\u306f\u30bf\u30d7\u30eb\u304b\u3089\u306e\u4f5c\u6210:<code>numpy.array()<\/code>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001Python \u30ea\u30b9\u30c8 (\u30ea\u30b9\u30c8) \u307e\u305f\u306f\u30bf\u30d7\u30eb (\u30bf\u30d7\u30eb) \u3092 Numpy \u914d\u5217\u306b\u5909\u63db\u3067\u304d\u307e\u3059\u3002\u4f8b: pythonCopy code<code>import numpy as np # \u4ece\u5217\u8868\u521b\u5efa\u4e00\u7ef4\u6570\u7ec4 arr1 = np.array([1, 2, 3, 4]) print(arr1) # \u4ece\u5d4c\u5957\u5217\u8868\u521b\u5efa\u4e8c\u7ef4\u6570\u7ec4 arr2 = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]]) print(arr2)<\/code><\/li>\n\n\n\n<li>\u7d44\u307f\u8fbc\u307f\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u4f5c\u6210: Numpy \u306b\u306f\u3001\u7279\u5b9a\u306e\u5f62\u72b6\u3068\u5024\u3092\u6301\u3064\u914d\u5217\u3092\u4f5c\u6210\u3059\u308b\u305f\u3081\u306e\u7d44\u307f\u8fbc\u307f\u95a2\u6570\u304c\u3044\u304f\u3064\u304b\u7528\u610f\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u4f8b\u3048\u3070\uff1a<ul><li>\u3059\u3079\u3066\u30bc\u30ed\u306e\u914d\u5217:<code>numpy.zeros(shape)<\/code><\/li><li>\u3059\u3079\u3066 1 \u306e\u914d\u5217:<code>numpy.ones(shape)<\/code><\/li><li>\u6052\u7b49\u30de\u30c8\u30ea\u30c3\u30af\u30b9:<code>numpy.eye(N)<\/code><\/li><li>\u521d\u671f\u5316\u3055\u308c\u3066\u3044\u306a\u3044\u914d\u5217:<code>numpy.empty(shape)<\/code><\/li><\/ul>\u305d\u306e\u4e2d\u306b\u306f\u3001<code>shape<\/code>\u914d\u5217\u306e\u5f62\u72b6\u3092\u8868\u3059\u6574\u6570\u30bf\u30d7\u30eb\u304c\u3042\u308a\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001<code>(3, 3)<\/code>3\u00d73 \u884c\u5217\u3092\u8868\u3057\u307e\u3059\u3002<code>N<\/code>\u5358\u4f4d\u884c\u5217\u306e\u30b5\u30a4\u30ba\u3092\u793a\u3057\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np zeros_array = np.zeros((2, 3)) print(zeros_array) ones_array = np.ones((3, 3)) print(ones_array) eye_array = np.eye(3) print(eye_array) empty_array = np.empty((2, 2)) print(empty_array)<\/code><\/li>\n\n\n\n<li>\u5024\u306e\u7bc4\u56f2\u3067\u4f5c\u6210: Numpy \u306f\u3001\u6307\u5b9a\u3055\u308c\u305f\u5024\u306e\u7bc4\u56f2\u304b\u3089\u7b49\u9593\u9694\u306e\u914d\u5217\u3092\u4f5c\u6210\u3059\u308b\u6b21\u306e\u95a2\u6570\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002<ul><li><code>numpy.arange(start, stop, step)<\/code>:<code>start<\/code>\u958b\u59cb (\u542b\u3080)\u304b\u3089<code>stop<\/code>\u7d42\u4e86 (\u542b\u307e\u306a\u3044) \u307e\u3067<code>step<\/code>\u3001\u7b49\u9593\u9694\u306e\u9593\u9694\u306e\u914d\u5217\u3002<\/li><li><code>numpy.linspace(start, stop, num)<\/code>:<code>start<\/code>\u3068<code>stop<\/code>(\u4e21\u7aef\u3092\u542b\u3080) \u306e\u9593\u3067\u3001<code>num<\/code>\u7b49\u9593\u9694\u306e\u914d\u5217\u8981\u7d20\u3092\u4f5c\u6210\u3057\u307e\u3059\u3002<\/li><\/ul>python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arange_array = np.arange(0, 10, 2) print(arange_array) linspace_array = np.linspace(0, 1, 5) print(linspace_array)<\/code><\/li>\n\n\n\n<li>\u30e9\u30f3\u30c0\u30e0\u914d\u5217\u306e\u4f5c\u6210: Numpy \u306e<code>random<\/code>\u30e2\u30b8\u30e5\u30fc\u30eb\u306f\u3001\u30e9\u30f3\u30c0\u30e0\u914d\u5217\u3092\u4f5c\u6210\u3059\u308b\u305f\u3081\u306e\u95a2\u6570\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002\u4f8b\u3048\u3070\uff1a<ul><li>\u4e00\u69d8\u5206\u5e03\u306e\u4e71\u6570\u914d\u5217:&nbsp;<code>numpy.random.rand(shape)<\/code>,<code>numpy.random.uniform(low, high, size)<\/code><\/li><li>\u6b63\u898f\u5206\u5e03\u306e\u4e71\u6570\u914d\u5217:&nbsp;<code>numpy.random.randn(shape)<\/code>,<code>numpy.random.normal(loc, scale, size)<\/code><\/li><\/ul>\u3053\u306e\u3046\u3061\u3001 \u306f<code>shape<\/code>\u914d\u5217\u306e\u5f62\u72b6\u3092\u8868\u3057\u3001<code>low<\/code>\u4e71\u6570<code>high<\/code>\u306e\u4e0a\u9650\u3068\u4e0b\u9650\u3092\u8868\u3057\u3001<code>size<\/code>\u914d\u5217\u306e\u30b5\u30a4\u30ba\u3092\u8868\u3057\u3001<code>loc<\/code>\u6b63\u898f\u5206\u5e03\u306e\u5e73\u5747\u3092\u8868\u3057\u3001<code>scale<\/code>\u6b63\u898f\u5206\u5e03\u306e\u6a19\u6e96\u504f\u5dee\u3092\u8868\u3057\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np rand_array = np.random.rand(2, 3) print(rand_array) uniform<\/code><\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u7d9a\u3051\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<p>\u30e9\u30f3\u30c0\u30e0\u914d\u5217 (\u7d9a\u304d):<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np\n\nuniform_array = np.random.uniform(-1, 1, (2, 3))\nprint(uniform_array)\n\nrandn_array = np.random.randn(2, 3)\nprint(randn_array)\n\nnormal_array = np.random.normal(0, 1, (2, 3))\nprint(normal_array)\n<\/code><\/pre>\n\n\n\n<p>\u4e0a\u8a18\u306f\u3001Numpy \u3067\u914d\u5217\u3092\u4f5c\u6210\u3059\u308b\u305f\u3081\u306e\u4e00\u822c\u7684\u306a\u65b9\u6cd5\u3067\u3059\u3002\u5b9f\u969b\u306e\u30cb\u30fc\u30ba\u306b\u5fdc\u3058\u3066\u3001\u5fc5\u8981\u306a\u30a2\u30ec\u30a4\u3092\u4f5c\u6210\u3059\u308b\u305f\u3081\u306e\u9069\u5207\u306a\u65b9\u6cd5\u3092\u9078\u629e\u3067\u304d\u307e\u3059\u3002\u914d\u5217\u3092\u4f5c\u6210\u3059\u308b\u3068\u304d\u3001<code>dtype<\/code>\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u3092\u4f7f\u7528\u3057\u3066\u914d\u5217\u8981\u7d20\u306e\u30c7\u30fc\u30bf\u578b\u3092\u6307\u5b9a\u3067\u304d\u307e\u3059 (\u4f8b<code>int32<\/code>: \u3001<code>float64<\/code>\u306a\u3069)\u3002\u6307\u5b9a\u3055\u308c\u3066\u3044\u306a\u3044\u5834\u5408<code>dtype<\/code>\u3001Numpy \u306f\u5165\u529b\u30c7\u30fc\u30bf\u306b\u57fa\u3065\u3044\u3066\u9069\u5207\u306a\u30c7\u30fc\u30bf\u578b\u3092\u81ea\u52d5\u7684\u306b\u9078\u629e\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u4f8b\u3048\u3070\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np\n\narr_int = np.array([1, 2, 3, 4], dtype=np.int32)\nprint(arr_int)\n\narr_float = np.array([1.1, 2.2, 3.3], dtype=np.float64)\nprint(arr_float)\n<\/code><\/pre>\n\n\n\n<p>\u3053\u308c\u3089\u306e Numpy \u914d\u5217\u306e\u4f5c\u6210\u65b9\u6cd5\u3092\u7406\u89e3\u3059\u308b\u3068\u3001\u5b9f\u969b\u306e\u30cb\u30fc\u30ba\u306b\u5fdc\u3058\u3066\u3001\u3055\u307e\u3056\u307e\u306a\u5f62\u72b6\u3001\u30c7\u30fc\u30bf\u578b\u3001\u304a\u3088\u3073\u521d\u671f\u5024\u306e\u914d\u5217\u3092\u67d4\u8edf\u306b\u4f5c\u6210\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u914d\u5217\u306e\u6027\u8cea\u3092\u8a73\u3057\u304f\u6559\u3048\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<p>Numpy \u914d\u5217 (ndarray) \u306b\u306f\u3001\u914d\u5217\u306e\u5f62\u72b6\u3001\u30b5\u30a4\u30ba\u3001\u30c7\u30fc\u30bf\u578b\u3001\u304a\u3088\u3073\u305d\u306e\u4ed6\u306e\u7279\u6027\u3092\u8a18\u8ff0\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3067\u304d\u308b\u3044\u304f\u3064\u304b\u306e\u5c5e\u6027\u304c\u3042\u308a\u307e\u3059\u3002\u4ee5\u4e0b\u306f\u3001\u3088\u304f\u4f7f\u7528\u3055\u308c\u308b\u914d\u5217\u30d7\u30ed\u30d1\u30c6\u30a3\u306e\u4e00\u90e8\u3067\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><code>ndim<\/code>: \u914d\u5217\u306e\u6b21\u5143 (\u8ef8) \u306e\u6570\u3092\u793a\u3057\u307e\u3059\u3002<code>ndim<\/code>\u305f\u3068\u3048\u3070\u3001 1\u6b21\u5143\u914d\u5217\u306e\u5834\u5408\u306f<code>ndim<\/code>1\u30012 \u6b21\u5143\u914d\u5217\u306e\u5834\u5408\u306f 2 \u3067\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr1 = np.array([1, 2, 3, 4]) print(arr1.ndim) # \u8f93\u51fa\uff1a1 arr2 = np.array([[1, 2, 3], [4, 5, 6]]) print(arr2.ndim) # \u8f93\u51fa\uff1a2<\/code><\/li>\n\n\n\n<li><code>shape<\/code>: \u914d\u5217\u306e\u5f62\u72b6\u3092\u793a\u3057\u3001\u5404\u8ef8\u306e\u30b5\u30a4\u30ba\u3092\u30bf\u30d7\u30eb\u3068\u3057\u3066\u8fd4\u3057\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u30013\u00d74 \u306e 2 \u6b21\u5143\u914d\u5217<code>shape<\/code>\u306f (3, 4) \u3067\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr1 = np.array([1, 2, 3, 4]) print(arr1.shape) # \u8f93\u51fa\uff1a(4,) arr2 = np.array([[1, 2, 3], [4, 5, 6]]) print(arr2.shape) # \u8f93\u51fa\uff1a(2, 3)<\/code><\/li>\n\n\n\n<li><code>size<\/code>: \u914d\u5217\u5185\u306e\u8981\u7d20\u306e\u7dcf\u6570\u3092\u793a\u3057\u307e\u3059\u3002<code>shape<\/code>\u30bf\u30d7\u30eb\u5185\u306e\u3059\u3079\u3066\u306e\u8981\u7d20\u306e\u7a4d\u306b\u7b49\u3057\u3044\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr1 = np.array([1, 2, 3, 4]) print(arr1.size) # \u8f93\u51fa\uff1a4 arr2 = np.array([[1, 2, 3], [4, 5, 6]]) print(arr2.size) # \u8f93\u51fa\uff1a6<\/code><\/li>\n\n\n\n<li><code>dtype<\/code>: \u914d\u5217\u8981\u7d20\u306e\u30c7\u30fc\u30bf\u578b\u3092\u793a\u3057\u307e\u3059\u3002<code>int8<\/code>Numpy \u306f\u3001<code>int32<\/code>\u3001 \u3001<code>float64<\/code>\u306a\u3069\u306e\u3055\u307e\u3056\u307e\u306a\u30c7\u30fc\u30bf\u578b\u3092\u30b5\u30dd\u30fc\u30c8\u3057\u3066\u3044\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr1 = np.array([1, 2, 3, 4], dtype=np.int32) print(arr1.dtype) # \u8f93\u51fa\uff1aint32 arr2 = np.array([1.1, 2.2, 3.3], dtype=np.float64) print(arr2.dtype) # \u8f93\u51fa\uff1afloat64<\/code><\/li>\n\n\n\n<li><code>itemsize<\/code>: \u914d\u5217\u5185\u306e\u5404\u8981\u7d20\u306e\u30d0\u30a4\u30c8\u6570\u3092\u793a\u3057\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001<code>int32<\/code>type \u306e\u914d\u5217\u8981\u7d20\u306f 4 \u30d0\u30a4\u30c8\u3001<code>float64<\/code>type \u306e\u914d\u5217\u8981\u7d20\u306f 8 \u30d0\u30a4\u30c8\u3067\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr1 = np.array([1, 2, 3, 4], dtype=np.int32) print(arr1.itemsize) # \u8f93\u51fa\uff1a4 arr2 = np.array([1.1, 2.2, 3.3], dtype=np.float64) print(arr2.itemsize) # \u8f93\u51fa\uff1a8<\/code><\/li>\n\n\n\n<li><code>nbytes<\/code>: \u914d\u5217\u306e\u5408\u8a08\u30d0\u30a4\u30c8\u6570\u3092\u793a\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u3001 \u3092<code>itemsize<\/code>\u639b\u3051\u305f\u3082\u306e\u3068\u540c\u3058\u3067\u3059<code>size<\/code>\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr1 = np.array([1, 2, 3, 4], dtype=np.int32) print(arr1.nbytes) # \u8f93\u51fa\uff1a16 arr2 = np.array([1.1,<\/code><\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u7d9a\u3051\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<p>2.2, 3.3], dtype=np.float64) print(arr2.nbytes) # \u51fa\u529b: 24<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">go\u30b3\u30d4\u30fc\u30b3\u30fc\u30c9<code>\n\u4e86\u89e3\u8fd9\u4e9b\u6570\u7ec4\u5c5e\u6027\u540e\uff0c\u60a8\u53ef\u4ee5\u66f4\u597d\u5730\u4e86\u89e3Numpy\u6570\u7ec4\u7684\u7279\u5f81\uff0c\u5e76\u636e\u6b64\u5bf9\u6570\u7ec4\u8fdb\u884c\u64cd\u4f5c\u548c\u5904\u7406\u3002\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u6211\u4eec\u901a\u5e38\u9700\u8981\u6839\u636e\u6570\u7ec4\u7684`shape`\u3001`dtype`\u7b49\u5c5e\u6027\u6765\u9009\u62e9\u5408\u9002\u7684\u7b97\u6cd5\u548c\u64cd\u4f5c\u3002\n\n\u4f8b\u5982\uff0c\u5f53\u5904\u7406\u56fe\u50cf\u6570\u636e\u65f6\uff0c\u6211\u4eec\u9700\u8981\u6839\u636e\u56fe\u50cf\u7684\u5f62\u72b6\uff08\u5bbd\u5ea6\u3001\u9ad8\u5ea6\u548c\u901a\u9053\u6570\uff09\u6765\u786e\u5b9a\u5982\u4f55\u5904\u7406\u548c\u663e\u793a\u56fe\u50cf\u3002\u53c8\u5982\uff0c\u5728\u6570\u503c\u8ba1\u7b97\u4e2d\uff0c\u6211\u4eec\u9700\u8981\u6839\u636e\u6570\u7ec4\u5143\u7d20\u7684\u6570\u636e\u7c7b\u578b\u6765\u9009\u62e9\u5408\u9002\u7684\u8ba1\u7b97\u65b9\u6cd5\uff0c\u4ee5\u9632\u6b62\u6570\u636e\u6ea2\u51fa\u6216\u7cbe\u5ea6\u635f\u5931\u7b49\u95ee\u9898\u3002\n\n\u638c\u63e1\u4e86\u8fd9\u4e9b\u57fa\u672c\u6982\u5ff5\u540e\uff0c\u60a8\u5c06\u80fd\u66f4\u6709\u6548\u5730\u5229\u7528Numpy\u8fdb\u884c\u6570\u7ec4\u64cd\u4f5c\u548c\u6570\u503c\u8ba1\u7b97\u3002\n<\/code><\/pre>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u914d\u5217\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3068\u30b9\u30e9\u30a4\u30b9\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u8aac\u660e\u3057\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<p>Numpy \u3067\u306f\u3001\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3068\u30b9\u30e9\u30a4\u30b9\u3092\u4f7f\u7528\u3057\u3066\u3001\u914d\u5217\u5185\u306e\u8981\u7d20\u306b\u30a2\u30af\u30bb\u30b9\u3057\u3066\u5909\u66f4\u3067\u304d\u307e\u3059\u3002\u914d\u5217\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u4ed8\u3051\u3068\u30b9\u30e9\u30a4\u30b9\u306e\u6982\u5ff5\u306f\u3001Python \u306e\u30ea\u30b9\u30c8\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u4ed8\u3051\u3068\u30b9\u30e9\u30a4\u30b9\u306b\u4f3c\u3066\u3044\u307e\u3059\u304c\u3001\u591a\u6b21\u5143\u914d\u5217\u3067\u306f\u3088\u308a\u5f37\u529b\u3067\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u914d\u5217\u30a4\u30f3\u30c7\u30c3\u30af\u30b9: \u6574\u6570\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3092\u4f7f\u7528\u3057\u3066\u914d\u5217\u5185\u306e\u8981\u7d20\u306b\u30a2\u30af\u30bb\u30b9\u3057\u307e\u3059\u30021 \u6b21\u5143\u914d\u5217\u306e\u5834\u5408\u3001\u5fc5\u8981\u306a\u6574\u6570\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u306f 1 \u3064\u3060\u3051\u3067\u3059\u3002\u591a\u6b21\u5143\u914d\u5217\u306e\u5834\u5408\u3001\u30b3\u30f3\u30de\u3067\u533a\u5207\u3089\u308c\u305f\u5404\u8ef8\u306b 1 \u3064\u306e\u6574\u6570\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u304c\u5fc5\u8981\u3067\u3059\u3002pythonCopy \u30b3\u30fc\u30c9\u306f\u3001<code>import numpy as np arr1 = np.array([1, 2, 3, 4]) print(arr1[0]) # \u8f93\u51fa\uff1a1 print(arr1[2]) # \u8f93\u51fa\uff1a3 arr2 = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]]) print(arr2[0, 1]) # \u8f93\u51fa\uff1a2 print(arr2[2, 2]) # \u8f93\u51fa\uff1a9&nbsp;<\/code>\u8ca0\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3092\u4f7f\u7528\u3057\u3066\u914d\u5217\u306e\u6700\u5f8c\u306e\u8981\u7d20\u306b\u30a2\u30af\u30bb\u30b9\u3067\u304d\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001<code>-1<\/code>\u6700\u5f8c\u306e\u8981\u7d20\u3092\u793a\u3059\u306b\u306f\u3001<code>-2<\/code>\u6700\u5f8c\u304b\u3089 2 \u756a\u76ee\u306e\u8981\u7d20\u3092\u793a\u3057\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr1 = np.array([1, 2, 3, 4]) print(arr1[-1]) # \u8f93\u51fa\uff1a4 print(arr1[-2]) # \u8f93\u51fa\uff1a3<\/code><\/li>\n\n\n\n<li>\u914d\u5217\u306e\u30b9\u30e9\u30a4\u30b9: \u30b9\u30e9\u30a4\u30b9\u3092\u4f7f\u7528\u3057\u3066\u3001\u914d\u5217\u5185\u306e\u8981\u7d20\u306e\u9023\u7d9a\u3057\u305f\u7bc4\u56f2\u306b\u30a2\u30af\u30bb\u30b9\u3057\u307e\u3059\u3002\u30b9\u30e9\u30a4\u30b9\u306e\u69cb\u6587\u306f\u3001<code>start:stop:step<\/code>\u30b9\u30e9\u30a4\u30b9<code>start<\/code>\u306e\u958b\u59cb\u30a4\u30f3\u30c7\u30c3\u30af\u30b9 (\u542b\u3080)\u3001<code>stop<\/code>\u30b9\u30e9\u30a4\u30b9\u306e\u7d42\u4e86\u30a4\u30f3\u30c7\u30c3\u30af\u30b9 (\u542b\u307e\u306a\u3044)\u3001<code>step<\/code>\u304a\u3088\u3073\u30b9\u30e9\u30a4\u30b9\u306e\u30b9\u30c8\u30e9\u30a4\u30c9\u3092\u793a\u3057\u307e\u3059\u3002\u7701\u7565\u3057\u305f\u5834\u5408<code>start<\/code>\u3001\u30c7\u30d5\u30a9\u30eb\u30c8\u306f 0 \u306b\u306a\u308a\u307e\u3059\u3002\u7701\u7565\u3057\u305f\u5834\u5408<code>stop<\/code>\u3001\u30c7\u30d5\u30a9\u30eb\u30c8\u306f\u914d\u5217\u306e\u9577\u3055\u3067\u3059\u3002\u7701\u7565\u3057\u305f\u5834\u5408<code>step<\/code>\u3001\u30c7\u30d5\u30a9\u30eb\u30c8\u306f 1 \u3067\u3059\u30021 \u6b21\u5143\u914d\u5217\u306e\u5834\u5408\u3001\u30b9\u30e9\u30a4\u30b9\u64cd\u4f5c\u306f Python \u306e\u30ea\u30b9\u30c8\u306b\u4f3c\u3066\u3044\u307e\u3059<code>import numpy as np arr1 = np.array([1, 2, 3, 4, 5]) print(arr1[1:4]) # \u8f93\u51fa\uff1a[2 3 4] print(arr1[:3]) # \u8f93\u51fa\uff1a[1 2 3] print(arr1[2:]) # \u8f93\u51fa\uff1a[3 4 5] print(arr1[::2]) # \u8f93\u51fa\uff1a[1 3 5]&nbsp;<\/code>\u3002\u305f\u3068\u3048\u3070\u30012D \u914d\u5217\u306e\u5834\u5408: pythonCopy code<code>import numpy as np arr2 = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]]) print(arr2[0:2, 1:3]) # \u8f93\u51fa\uff1a[[2 3] # [5 6]] print(arr2[:, 1]) # \u8f93\u51fa\uff1a[2 5 8] print(arr2[1, :]) # \u8f93\u51fa\uff1a[4 5 6]<\/code><\/li>\n<\/ol>\n\n\n\n<p>\u610f\u8b58\u3057\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u306e\u306f<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u7d9a\u3051\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<p>\u3001Numpy \u914d\u5217\u306e\u30b9\u30e9\u30a4\u30b9\u64cd\u4f5c\u306f\u3001\u65b0\u3057\u3044\u914d\u5217\u3092\u4f5c\u6210\u3059\u308b\u306e\u3067\u306f\u306a\u304f\u3001\u5143\u306e\u914d\u5217\u306e\u30d3\u30e5\u30fc\u3092\u8fd4\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u30b9\u30e9\u30a4\u30b9\u5185\u306e\u8981\u7d20\u3092\u5909\u66f4\u3059\u308b\u3068\u3001\u5143\u306e\u914d\u5217\u304c\u5f71\u97ff\u3092\u53d7\u3051\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u3053\u306e\u8a2d\u8a08\u306b\u3088\u308a\u3001\u3088\u308a\u52b9\u7387\u7684\u306a\u30e1\u30e2\u30ea\u4f7f\u7528\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u304c\u3001\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u610f\u56f3\u3057\u306a\u3044\u526f\u4f5c\u7528\u304c\u767a\u751f\u3059\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002\u30b9\u30e9\u30a4\u30b9\u306e\u30b3\u30d4\u30fc\u3092\u4f5c\u6210\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u5834\u5408\u306f\u3001<code>copy()<\/code>\u30e1\u30bd\u30c3\u30c9\u3092\u4f7f\u7528\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np\n\narr1 = np.array([1, 2, 3, 4, 5])\nslice1 = arr1[1:4]\nslice2 = arr1[1:4].copy()\n\n# \u4fee\u6539\u5207\u7247\u4e2d\u7684\u5143\u7d20\nslice1[0] = 99\nslice2[1] = 88\n\nprint(arr1)        # \u8f93\u51fa\uff1a[ 1 99  3  4  5]\uff0c\u539f\u6570\u7ec4\u53d7\u5207\u7247slice1\u7684\u4fee\u6539\u5f71\u54cd\nprint(slice1)      # \u8f93\u51fa\uff1a[99  3  4]\nprint(slice2)      # \u8f93\u51fa\uff1a[ 2 88  4]\uff0c\u5207\u7247slice2\u7684\u4fee\u6539\u4e0d\u5f71\u54cd\u539f\u6570\u7ec4\n<\/code><\/pre>\n\n\n\n<p>\u3055\u3089\u306b\u3001Numpy \u306f\u30d6\u30fc\u30eb\u914d\u5217\u306b\u3088\u308b\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3082\u30b5\u30dd\u30fc\u30c8\u3057\u3066\u3044\u307e\u3059\u3002\u30d6\u30fc\u30eb\u914d\u5217\u3067\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3092\u4f5c\u6210\u3059\u308b\u3068\u3001Numpy \u306f\u30d6\u30fc\u30eb\u914d\u5217\u306e True \u5024\u306b\u5bfe\u5fdc\u3059\u308b\u3059\u3079\u3066\u306e\u8981\u7d20\u3092\u8fd4\u3057\u307e\u3059\u3002\u3053\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u65b9\u6cd5\u306f\u3001\u914d\u5217\u8981\u7d20\u3092\u30d5\u30a3\u30eb\u30bf\u30ea\u30f3\u30b0\u3059\u308b\u3068\u304d\u306b\u975e\u5e38\u306b\u4fbf\u5229\u3067\u3059\u3002<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np\n\narr1 = np.array([1, 2, 3, 4, 5])\nbool_idx = arr1 &gt; 3\n\nprint(bool_idx)    # \u8f93\u51fa\uff1a[False False False  True  True]\nprint(arr1[bool_idx])  # \u8f93\u51fa\uff1a[4 5]\n<\/code><\/pre>\n\n\n\n<p>\u914d\u5217\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u4ed8\u3051\u3068\u30b9\u30e9\u30a4\u30b9\u3092\u30de\u30b9\u30bf\u30fc\u3059\u308b\u3053\u3068\u3067\u3001\u914d\u5217\u5185\u306e\u8981\u7d20\u306b\u67d4\u8edf\u306b\u30a2\u30af\u30bb\u30b9\u3057\u3066\u5909\u66f4\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u5b9f\u969b\u306e\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u3067\u306f\u3001\u914d\u5217\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u4ed8\u3051\u3068\u30b9\u30e9\u30a4\u30b9\u306f\u901a\u5e38\u3001\u30c7\u30fc\u30bf\u306e\u524d\u51e6\u7406\u3001\u7279\u5fb4\u62bd\u51fa\u3001\u30c7\u30fc\u30bf\u306e\u30d5\u30a3\u30eb\u30bf\u30ea\u30f3\u30b0\u306a\u3069\u306e\u30bf\u30b9\u30af\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u57fa\u672c\u7684\u306a\u6982\u5ff5\u3092\u7406\u89e3\u3059\u308b\u3068\u3001Numpy \u3092\u3088\u308a\u52b9\u679c\u7684\u306b\u914d\u5217\u64cd\u4f5c\u3068\u6570\u5024\u8a08\u7b97\u306b\u4f7f\u7528\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>Numpy \u914d\u5217\u306e\u30b9\u30d7\u30e9\u30a4\u30b7\u30f3\u30b0\u3068\u5206\u5272\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u8aac\u660e\u3057\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<p>Numpy \u306f\u3001\u914d\u5217\u3092\u9023\u7d50\u304a\u3088\u3073\u5206\u5272\u3059\u308b\u305f\u3081\u306e\u3055\u307e\u3056\u307e\u306a\u30e1\u30bd\u30c3\u30c9\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002\u5b9f\u969b\u306e\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u3067\u306f\u3001\u3053\u308c\u3089\u306e\u64cd\u4f5c\u306f\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u7d71\u5408\u3068\u5206\u5272\u306b\u3088\u304f\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u914d\u5217\u306e\u9023\u7d50: Numpy \u306f<code>concatenate<\/code>\u3001 \u3001 \u3001<code>vstack<\/code>\u306a\u3069\u306e\u95a2\u6570\u3092\u63d0\u4f9b\u3057\u3066\u3001<code>hstack<\/code>\u914d\u5217\u3092\u9023\u7d50\u3057\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u95a2\u6570\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u6307\u5b9a\u3057\u305f\u8ef8\u306b\u6cbf\u3063\u3066\u8907\u6570\u306e\u914d\u5217\u3092\u7d50\u5408\u3067\u304d\u307e\u3059\u3002<ul><li><code>concatenate<\/code>: \u6307\u5b9a\u3055\u308c\u305f\u8ef8\u306b\u6cbf\u3063\u3066\u914d\u5217\u3092\u9023\u7d50\u3057\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr1 = np.array([[1, 2], [3, 4]]) arr2 = np.array([[5, 6]]) # \u6cbf\u7b2c0\u8f74\uff08\u884c\uff09\u62fc\u63a5\u6570\u7ec4 result1 = np.concatenate((arr1, arr2), axis=0) print(result1) # \u8f93\u51fa\uff1a[[1 2] # [3 4] # [5 6]] # \u6cbf\u7b2c1\u8f74\uff08\u5217\uff09\u62fc\u63a5\u6570\u7ec4 result2 = np.concatenate((arr1, arr2.T), axis=1) print(result2) # \u8f93\u51fa\uff1a[[1 2 5] # [3 4 6]]<\/code><\/li><li><code>vstack<\/code>: 0 \u756a\u76ee\u306e\u8ef8 (\u884c) \u306b\u6cbf\u3063\u3066\u914d\u5217\u3092\u9023\u7d50\u3057\u307e\u3059\u3002\u3053\u308c\u306f \u306e<code>concatenate<\/code>\u64cd\u4f5c\u3068\u540c\u3058\u3067\u3059<code>axis=0<\/code>\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr1 = np.array([[1, 2], [3, 4]]) arr2 = np.array([[5, 6]]) result = np.vstack((arr1, arr2)) print(result) # \u8f93\u51fa\uff1a[[1 2] # [3 4] # [5 6]]<\/code><\/li><li><code>hstack<\/code>: \u6700\u521d\u306e\u8ef8 (\u5217) \u306b\u6cbf\u3063\u3066\u914d\u5217\u3092\u9023\u7d50\u3057\u307e\u3059\u3002\u3053\u308c\u306f \u306e<code>concatenate<\/code>\u64cd\u4f5c\u3068\u540c\u3058\u3067\u3059<code>axis=1<\/code>\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr1 = np.array([[1, 2], [3, 4]]) arr2 = np.array([[5], [6]]) result = np.hstack((arr1, arr2)) print(result) # \u8f93\u51fa\uff1a[[1 2 5] # [3 4 6]]<\/code><\/li><\/ul>\u914d\u5217\u3092\u9023\u7d50\u3059\u308b\u3068\u304d\u306f\u3001\u914d\u5217\u306e\u5f62\u72b6\u304c\u4e00\u81f4\u3057\u3066\u3044\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u305f\u3068\u3048\u3070\u30010 \u8ef8\u306b\u6cbf\u3063\u3066\u914d\u5217\u3092\u9023\u7d50\u3059\u308b\u5834\u5408\u3001\u3059\u3079\u3066\u306e\u5165\u529b\u914d\u5217\u306f\u540c\u3058\u6570\u306e\u5217\u3092\u6301\u3064\u5fc5\u8981\u304c\u3042\u308a\u30011 \u8ef8\u306b\u6cbf\u3063\u3066\u914d\u5217\u3092\u9023\u7d50\u3059\u308b\u5834\u5408\u3001\u3059\u3079\u3066\u306e\u5165\u529b\u914d\u5217\u306f\u540c\u3058\u6570\u306e\u884c\u3092\u6301\u3064\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/li>\n\n\n\n<li>\u914d\u5217\u5206\u5272: Numpy \u306f<code>split<\/code>\u3001 \u3001 \u3001<code>vsplit<\/code>\u306a\u3069\u306e\u95a2\u6570\u3092\u63d0\u4f9b\u3057\u3066\u3001<code>hsplit<\/code>\u914d\u5217\u3092\u5206\u5272\u3057\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u95a2\u6570\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u6307\u5b9a\u3057\u305f\u8ef8\u306b\u6cbf\u3063\u3066\u914d\u5217\u3092\u30b5\u30d6\u914d\u5217\u306b\u5206\u5272\u3067\u304d\u307e\u3059\u3002\n<ul class=\"wp-block-list\">\n<li><code>split<\/code>: \u6307\u5b9a\u3057\u305f\u8ef8\u306b\u6cbf\u3063\u3066\u914d\u5217\u3092\u5206\u5272\u3057\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9], [10, 11, 12]]) # \u6cbf\u7b2c0\u8f74\uff08\u884c\uff09\u5206\u5272\u6570\u7ec4 result1 = np.split(arr, 2, axis=0) print(result1) # \u8f93\u51fa\uff1a[array([[1, 2, 3], #<\/code><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u7d9a\u3051\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">lua\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc<code>          [4, 5, 6]]),\n          array([[ 7,  8,  9],\n                 [10, 11, 12]])]\n\n # \u6cbf\u7b2c1\u8f74\uff08\u5217\uff09\u5206\u5272\u6570\u7ec4\n result2 = np.split(arr, 3, axis=1)\n print(result2)\n # \u8f93\u51fa\uff1a[array([[ 1],\n #              [ 4],\n #              [ 7],\n #              [10]]),\n          array([[ 2],\n                 [ 5],\n                 [ 8],\n                 [11]]),\n          array([[ 3],\n                 [ 6],\n                 [ 9],\n                 [12]])]\n ```\n<\/code><\/pre>\n\n\n\n<ul class=\"wp-block-list\">\n<li><code>vsplit<\/code>: \u914d\u5217\u3092 0 \u756a\u76ee\u306e\u8ef8 (\u884c) \u306b\u6cbf\u3063\u3066\u5206\u5272\u3057\u307e\u3059\u3002\u3053\u308c\u306f \u306e<code>split<\/code>\u64cd\u4f5c\u3068\u540c\u3058\u3067\u3059<code>axis=0<\/code>\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9], [10, 11, 12]]) result = np.vsplit(arr, 2) print(result) # \u8f93\u51fa\uff1a[array([[1, 2, 3], # [4, 5, 6]]), array([[ 7, 8, 9], [10, 11, 12]])]<\/code><\/li>\n\n\n\n<li><code>hsplit<\/code>: \u6700\u521d\u306e\u8ef8 (\u5217) \u306b\u6cbf\u3063\u3066\u914d\u5217\u3092\u5206\u5272\u3057\u307e\u3059\u3002\u3053\u308c\u306f \u306e\u64cd\u4f5c\u3068\u540c\u3058<code>split<\/code>\u3067\u3059<code>axis=1<\/code>\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9], [10, 11, 12]]) result = np.hsplit(arr, 3) print(result) # \u8f93\u51fa\uff1a[array([[ 1], # [ 4], # [ 7], # [10]]), array([[ 2], [ 5], [ 8], [11]]), array([[ 3], [ 6], [ 9], [12]])]<\/code><\/li>\n<\/ul>\n\n\n\n<p>\u914d\u5217\u3092\u5206\u5272\u3059\u308b\u3068\u304d\u306f\u3001\u914d\u5217\u304c\u5747\u7b49\u306b\u5206\u5272\u3067\u304d\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u305f\u3068\u3048\u3070\u3001\u914d\u5217\u3092 0 \u756a\u76ee\u306e\u8ef8\u306b\u6cbf\u3063\u3066\u5206\u5272\u3059\u308b\u5834\u5408\u3001\u5165\u529b\u914d\u5217\u306e\u884c\u6570\u306f\u5206\u5272\u6570\u3067\u5272\u308a\u5207\u308c\u308b\u5fc5\u8981\u304c\u3042\u308a\u3001\u914d\u5217\u3092 1 \u756a\u76ee\u306e\u8ef8\u306b\u6cbf\u3063\u3066\u5206\u5272\u3059\u308b\u5834\u5408\u3001\u5165\u529b\u914d\u5217\u306e\u5217\u6570\u306f \u3067\u5272\u308a\u5207\u308c\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u5206\u5272\u6570\u3002<\/p>\n\n\n\n<p>\u7d50\u5408\u64cd\u4f5c\u3068\u5206\u5272\u64cd\u4f5c\u306b\u3088\u308a\u3001\u914d\u5217\u3092\u7d50\u5408\u304a\u3088\u3073\u5206\u96e2\u3059\u308b\u67d4\u8edf\u6027\u304c\u5f97\u3089\u308c\u307e\u3059\u3002\u5b9f\u969b\u306e\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u3067\u306f\u3001\u914d\u5217\u306e\u9023\u7d50\u3068\u5206\u5272\u306f\u3001\u8907\u6570\u306e\u30c7\u30fc\u30bf \u30d5\u30a1\u30a4\u30eb\u3092 1 \u3064\u306e\u5927\u304d\u306a\u30c7\u30fc\u30bf \u30bb\u30c3\u30c8\u306b\u7d71\u5408\u3057\u305f\u308a\u3001\u30c7\u30fc\u30bf \u30bb\u30c3\u30c8\u3092\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0 \u30bb\u30c3\u30c8\u3068\u30c6\u30b9\u30c8 \u30bb\u30c3\u30c8\u306b\u5206\u5272\u3057\u305f\u308a\u3059\u308b\u306a\u3069\u3001\u30c7\u30fc\u30bf \u30bb\u30c3\u30c8\u306e\u30de\u30fc\u30b8\u3068\u5206\u5272\u306b\u3088\u304f\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u57fa\u672c\u7684\u306a\u6982\u5ff5\u3092\u7fd2\u5f97\u3059\u308b\u3068\u3001Numpy \u3092\u914d\u5217\u64cd\u4f5c\u3068\u6570\u5024\u8a08\u7b97\u306b\u3088\u308a\u52b9\u679c\u7684\u306b\u4f7f\u7528\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>Numpy \u914d\u5217\u306e\u30d6\u30ed\u30fc\u30c9\u30ad\u30e3\u30b9\u30c8\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u8aac\u660e\u3057\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<p>Numpy \u914d\u5217\u306e\u30d6\u30ed\u30fc\u30c9\u30ad\u30e3\u30b9\u30c8\u306f\u3001\u3055\u307e\u3056\u307e\u306a\u5f62\u72b6\u306e\u914d\u5217\u306b\u5bfe\u3059\u308b\u7b97\u8853\u6f14\u7b97\u3092\u81ea\u52d5\u7684\u306b\u51e6\u7406\u3059\u308b\u305f\u3081\u306e\u5f37\u529b\u306a\u30e1\u30ab\u30cb\u30ba\u30e0\u3067\u3059\u3002\u30d6\u30ed\u30fc\u30c9\u30ad\u30e3\u30b9\u30c8\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u5b9f\u969b\u306b\u30c7\u30fc\u30bf\u3092\u30b3\u30d4\u30fc\u3059\u308b\u3053\u3068\u306a\u304f\u3001\u3055\u307e\u3056\u307e\u306a\u5f62\u72b6\u306e\u914d\u5217\u306b\u5bfe\u3057\u3066\u8981\u7d20\u5358\u4f4d\u306e\u64cd\u4f5c\u3092\u5b9f\u884c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u30d6\u30ed\u30fc\u30c9\u30ad\u30e3\u30b9\u30c8 \u30e1\u30ab\u30cb\u30ba\u30e0\u304c\u9069\u5207\u306b\u6a5f\u80fd\u3059\u308b\u305f\u3081\u306b\u306f\u3001\u7279\u5b9a\u306e\u30eb\u30fc\u30eb\u306b\u5f93\u3046\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u30022 \u3064\u306e\u914d\u5217\u306b\u5bfe\u3057\u3066\u8981\u7d20\u5358\u4f4d\u306e\u64cd\u4f5c\u3092\u5b9f\u884c\u3059\u308b\u5834\u5408\u3001Numpy \u306f\u305d\u308c\u3089\u306e\u5f62\u72b6\u3092\u6bd4\u8f03\u3057\u307e\u3059\u3002\u6700\u5f8c\u306e\u6b21\u5143 (\u8ef8) \u304b\u3089\u958b\u59cb\u3057\u3001\u5404\u8ef8\u306b\u6cbf\u3063\u3066\u9806\u65b9\u5411\u306b\u6bd4\u8f03\u3059\u308b\u3068\u3001\u5f62\u72b6\u306f\u6b21\u306e\u6761\u4ef6\u306e\u3044\u305a\u308c\u304b\u3092\u6e80\u305f\u3059\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u4e21\u65b9\u306e\u914d\u5217\u306f\u3001\u3053\u306e\u8ef8\u306b\u6cbf\u3063\u3066\u540c\u3058\u30b5\u30a4\u30ba\u3067\u3059\u3002<\/li>\n\n\n\n<li>\u914d\u5217\u306e 1 \u3064\u306f\u3001\u305d\u306e\u8ef8\u306e\u30b5\u30a4\u30ba\u304c 1 \u3067\u3059\u3002<\/li>\n<\/ol>\n\n\n\n<p>2 \u3064\u306e\u914d\u5217\u306e\u5f62\u72b6\u304c\u4e0a\u8a18\u306e\u6761\u4ef6\u3092\u6e80\u305f\u3057\u3066\u3044\u308c\u3070\u3001\u305d\u308c\u3089\u3092\u30d6\u30ed\u30fc\u30c9\u30ad\u30e3\u30b9\u30c8\u3067\u304d\u307e\u3059\u3002\u305d\u3046\u3057\u306a\u3044\u3068\u3001Numpy \u306f\u4e92\u63db\u6027\u306e\u306a\u3044\u5f62\u72b6\u3092\u793a\u3059\u4f8b\u5916\u3092\u767a\u751f\u3055\u305b\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u30d6\u30ed\u30fc\u30c9\u30ad\u30e3\u30b9\u30c8\u306e\u4f8b\u3092\u6b21\u306b\u793a\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u30b9\u30ab\u30e9\u30fc\u306e\u30d6\u30ed\u30fc\u30c9\u30ad\u30e3\u30b9\u30c8: \u30b9\u30ab\u30e9\u30fc\u306f\u3001\u7a7a\u306e\u5f62\u72b6\u3092\u6301\u3064\u914d\u5217\u3068\u8003\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u305d\u308c\u3089\u306f\u3059\u3079\u3066\u306e\u8ef8\u3067\u30b5\u30a4\u30ba 1 \u3092\u6301\u3061\u3001\u4efb\u610f\u306e\u914d\u5217\u3067\u30d6\u30ed\u30fc\u30c9\u30ad\u30e3\u30b9\u30c8\u3067\u304d\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr = np.array([1, 2, 3]) result = arr * 2 print(result) # \u8f93\u51fa\uff1a[2 4 6]<\/code><\/li>\n\n\n\n<li>1D \u914d\u5217\u306e\u30d6\u30ed\u30fc\u30c9\u30ad\u30e3\u30b9\u30c8: 1D \u914d\u5217\u306f\u3001\u540c\u3058\u5f62\u72b6\u306e\u914d\u5217\u307e\u305f\u306f\u4e00\u90e8\u306e\u8ef8\u306e\u30b5\u30a4\u30ba\u304c 1 \u306e\u914d\u5217\u3067\u30d6\u30ed\u30fc\u30c9\u30ad\u30e3\u30b9\u30c8\u3067\u304d\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr1 = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]]) arr2 = np.array([1, 0, 1]) result = arr1 + arr2 print(result) # \u8f93\u51fa\uff1a[[ 2 2 4] # [ 5 5 7] # [ 8 8 10]]<\/code><\/li>\n\n\n\n<li>\u591a\u6b21\u5143\u914d\u5217\u306e\u30d6\u30ed\u30fc\u30c9\u30ad\u30e3\u30b9\u30c8: 2 \u3064\u306e\u591a\u6b21\u5143\u914d\u5217\u306e\u5f62\u72b6\u304c\u30d6\u30ed\u30fc\u30c9\u30ad\u30e3\u30b9\u30c8 \u30eb\u30fc\u30eb\u3092\u6e80\u305f\u3057\u3066\u3044\u308b\u5834\u5408\u3001\u30d6\u30ed\u30fc\u30c9\u30ad\u30e3\u30b9\u30c8\u3092\u5b9f\u884c\u3067\u304d\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr1 = np.array([[[1, 2], [3, 4]], [[5, 6], [7, 8]]]) arr2 = np.array([[1], [2]]) result = arr1 + arr2 print(result) # \u8f93\u51fa\uff1a[[[ 2 3] # [ 5 6]] # # [[ 7 8] # [ 9 10]]]<\/code><\/li>\n<\/ol>\n\n\n\n<p>\u30d6\u30ed\u30fc\u30c9\u30ad\u30e3\u30b9\u30c8\u3092\u4f7f\u7528\u3059\u308b\u5834\u5408\u306f\u3001\u6b21\u306e\u70b9\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u914d\u5217\u306e\u5f62\u72b6\u304c\u30d6\u30ed\u30fc\u30c9\u30ad\u30e3\u30b9\u30c8 \u30eb\u30fc\u30eb\u3092\u6e80\u305f\u3057\u3066\u3044\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u5f62\u72b6\u306b\u4e92\u63db\u6027\u304c\u306a\u3044\u5834\u5408\u306f\u3001<code>reshape<\/code>\u307e\u305f\u306f \u306a\u3069<code>np.newaxis<\/code>\u306e\u65b9\u6cd5\u3092\u4f7f\u7528\u3057\u3066\u914d\u5217\u3092\u518d\u5f62\u6210\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/li>\n\n\n\n<li>\u30d6\u30ed\u30fc\u30c9\u30ad\u30e3\u30b9\u30c8\u64cd\u4f5c\u306f\u3001\u30c7\u30fc\u30bf\u306e\u5b9f\u969b\u306e\u30b3\u30d4\u30fc\u3092\u56de\u907f\u3057\u306a\u304c\u3089\u3082\u3001\u8a08\u7b97\u3092\u5fc5\u8981\u3068\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5927\u898f\u6a21\u306a\u30c7\u30fc\u30bf\u3092\u6271\u3046\u5834\u5408\u306f\u3001<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u7d9a\u3051\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<p>\u5341\u5206\u306a\u30b3\u30f3\u30d4\u30e5\u30fc\u30c6\u30a3\u30f3\u30b0 \u30ea\u30bd\u30fc\u30b9\u3092\u4fdd\u6301\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"3\">\n<li>\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u3001\u30d6\u30ed\u30fc\u30c9\u30ad\u30e3\u30b9\u30c8\u306b\u3088\u3063\u3066\u4e88\u671f\u3057\u306a\u3044\u7d50\u679c\u304c\u751f\u3058\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30d6\u30ed\u30fc\u30c9\u30ad\u30e3\u30b9\u30c8\u3092\u4f7f\u7528\u3059\u308b\u3068\u304d\u306f\u3001\u914d\u5217\u306e\u5f62\u72b6\u3092\u5e38\u306b\u30c1\u30a7\u30c3\u30af\u3057\u3066\u3001\u6b63\u3057\u304f\u5b9f\u884c\u3057\u3066\u3044\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/li>\n<\/ol>\n\n\n\n<p>\u30d6\u30ed\u30fc\u30c9\u30ad\u30e3\u30b9\u30c8 \u30e1\u30ab\u30cb\u30ba\u30e0\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u30c7\u30fc\u30bf\u3092\u30b3\u30d4\u30fc\u3057\u305f\u308a\u660e\u793a\u7684\u306b\u30eb\u30fc\u30d7\u3057\u305f\u308a\u3059\u308b\u3053\u3068\u306a\u304f\u3001\u7570\u306a\u308b\u5f62\u72b6\u306e\u914d\u5217\u9593\u3067\u8981\u7d20\u5358\u4f4d\u306e\u64cd\u4f5c\u3092\u5b9f\u884c\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u30b3\u30fc\u30c9\u306e\u7c21\u6f54\u3055\u304c\u5411\u4e0a\u3059\u308b\u3060\u3051\u3067\u306a\u304f\u3001\u8a08\u7b97\u52b9\u7387\u3082\u5411\u4e0a\u3057\u307e\u3059\u3002\u5b9f\u969b\u306e\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u3067\u306f\u3001\u30d6\u30ed\u30fc\u30c9\u30ad\u30e3\u30b9\u30c8\u306f\u3001\u914d\u5217\u64cd\u4f5c\u3001\u30c7\u30fc\u30bf\u306e\u524d\u51e6\u7406\u3001\u7279\u5fb4\u306e\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u306a\u3069\u306e\u30bf\u30b9\u30af\u3092\u5b9f\u884c\u3059\u308b\u305f\u3081\u306b\u3088\u304f\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u30d6\u30ed\u30fc\u30c9\u30ad\u30e3\u30b9\u30c8\u306e\u57fa\u672c\u7684\u306a\u6982\u5ff5\u3092\u7406\u89e3\u3059\u308b\u3068\u3001\u914d\u5217\u64cd\u4f5c\u3084\u6570\u5024\u8a08\u7b97\u306b Numpy \u3092\u3088\u308a\u52b9\u679c\u7684\u306b\u4f7f\u7528\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>Numpy\u914d\u5217\u306e\u7e70\u308a\u8fd4\u3057\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u8aac\u660e\u3057\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<p>Numpy \u914d\u5217\u306f\u3001\u30eb\u30fc\u30d7\u306e\u3088\u3046\u306a<code>for<\/code>\u30eb\u30fc\u30d7\u3092\u4f7f\u7528\u3057\u305f\u53cd\u5fa9\u3092\u30b5\u30dd\u30fc\u30c8\u3057\u307e\u3059\u3002\u30ea\u30b9\u30c8\u3084\u30bf\u30d7\u30eb\u306a\u3069\u306e Python \u306e\u4ed6\u306e\u30b7\u30fc\u30b1\u30f3\u30b9 \u30bf\u30a4\u30d7\u3068\u540c\u69d8\u306b\u3001Numpy \u914d\u5217\u306f\u8981\u7d20\u3054\u3068\u306b\u53cd\u5fa9\u3055\u308c\u307e\u3059\u3002\u305f\u3060\u3057\u3001Numpy \u914d\u5217\u306e\u53cd\u5fa9\u9806\u5e8f\u306f\u914d\u5217\u306e\u5f62\u72b6\u306b\u95a2\u9023\u3057\u3066\u3044\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<p>1 \u6b21\u5143\u914d\u5217\u306e\u5834\u5408\u3001\u53cd\u5fa9\u9806\u5e8f\u306f\u30ea\u30b9\u30c8\u306e\u5834\u5408\u3068\u540c\u3058\u3067\u3059\u3002<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np\n\narr = np.array([1, 2, 3, 4, 5])\n\nfor element in arr:\n    print(element)\n\n# \u8f93\u51fa\uff1a\n# 1\n# 2\n# 3\n# 4\n# 5\n<\/code><\/pre>\n\n\n\n<p>\u591a\u6b21\u5143\u914d\u5217\u306e\u5834\u5408\u3001\u53cd\u5fa9\u306f 0 \u756a\u76ee\u306e\u8ef8 (\u884c) \u306b\u6cbf\u3063\u3066\u5b9f\u884c\u3055\u308c\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u53cd\u5fa9\u4e2d\u306b\u3001\u914d\u5217\u306e\u5404\u884c\u3092\u53d6\u5f97\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np\n\narr = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]])\n\nfor row in arr:\n    print(row)\n\n# \u8f93\u51fa\uff1a\n# [1 2 3]\n# [4 5 6]\n# [7 8 9]\n<\/code><\/pre>\n\n\n\n<p>\u591a\u6b21\u5143\u914d\u5217\u3092\u8981\u7d20\u3054\u3068\u306b\u53cd\u5fa9\u51e6\u7406\u3059\u308b\u5834\u5408\u306f\u3001<code>numpy.nditer<\/code>\u95a2\u6570\u3092\u4f7f\u7528\u3067\u304d\u307e\u3059\u3002<code>nditer<\/code>\u4efb\u610f\u306e\u6b21\u5143\u306e\u914d\u5217\u3092\u8981\u7d20\u5358\u4f4d\u3067\u53cd\u5fa9\u51e6\u7406\u3059\u308b\u52b9\u7387\u7684\u306a\u65b9\u6cd5\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np\n\narr = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]])\n\nfor element in np.nditer(arr):\n    print(element)\n\n# \u8f93\u51fa\uff1a\n# 1\n# 2\n# 3\n# 4\n# 5\n# 6\n# 7\n# 8\n# 9\n<\/code><\/pre>\n\n\n\n<p><code>sum<\/code>\u7d44\u307f\u8fbc\u307f\u95a2\u6570 ( \u3001\u306a\u3069) \u3068 Numpy \u306b\u3088\u3063\u3066\u63d0\u4f9b\u3055\u308c\u308b\u30d9\u30af\u30c8\u30eb\u5316\u3055\u308c\u305f\u64cd\u4f5c\u306f\u3001<code>min<\/code>\u901a\u5e38\u3001\u914d\u5217\u3092\u53cd\u5fa9\u51e6\u7406\u3059\u308b\u5834\u5408\u3001\u660e\u793a\u7684\u306a\u30eb\u30fc\u30d7\u3088\u308a\u3082\u52b9\u7387\u7684\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002<code>max<\/code>\u3057\u305f\u304c\u3063\u3066\u3001\u5927\u898f\u6a21\u306a\u30c7\u30fc\u30bf\u3092\u6271\u3046\u5834\u5408\u306f\u3001Numpy \u306e\u7d44\u307f\u8fbc\u307f\u95a2\u6570\u3068\u30d9\u30af\u30c8\u30eb\u5316\u3055\u308c\u305f\u64cd\u4f5c\u3092\u4f7f\u7528\u3057\u3066\u3001\u8a08\u7b97\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u3092\u5411\u4e0a\u3055\u305b\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<p>\u8981\u7d04\u3059\u308b\u3068\u3001Numpy \u914d\u5217\u306f\u30eb\u30fc\u30d7\u3092\u4f7f\u7528\u3057\u305f\u53cd\u5fa9\u3092\u30b5\u30dd\u30fc\u30c8\u3057\u3001\u5fc5\u8981\u306b\u5fdc\u3058\u3066 1D \u304a\u3088\u3073\u591a\u6b21\u5143\u914d\u5217\u306b\u5bfe\u3057\u3066\u884c\u5358\u4f4d\u307e\u305f\u306f\u8981\u7d20\u5358\u4f4d\u306e\u53cd\u5fa9\u3092\u5b9f\u884c\u3067\u304d\u307e\u3059\u3002\u5b9f\u969b\u306e\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u3067\u306f\u3001\u914d\u5217\u306e\u53cd\u5fa9\u306f\u901a\u5e38\u3001\u30c7\u30fc\u30bf\u306e\u524d\u51e6\u7406\u3001\u7279\u5fb4\u62bd\u51fa\u3001\u304a\u3088\u3073\u305d\u306e\u4ed6\u306e\u30bf\u30b9\u30af\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u914d\u5217\u53cd\u5fa9\u306e\u57fa\u672c\u7684\u306a\u6982\u5ff5\u3092\u7406\u89e3\u3059\u308b\u3068\u3001Numpy \u3092\u3088\u308a\u52b9\u679c\u7684\u306b\u914d\u5217\u64cd\u4f5c\u3084\u6570\u5024\u8a08\u7b97\u306b\u4f7f\u7528\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u914d\u5217\u306e\u4e26\u3079\u66ff\u3048\u3001\u691c\u7d22\u3001\u30ab\u30a6\u30f3\u30c8\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u8aac\u660e\u3057\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<p>Numpy \u306f\u3001\u914d\u5217\u306e\u4e26\u3079\u66ff\u3048\u3001\u691c\u7d22\u3001\u304a\u3088\u3073\u30ab\u30a6\u30f3\u30c8\u306e\u305f\u3081\u306e\u3055\u307e\u3056\u307e\u306a\u95a2\u6570\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002\u4ee5\u4e0b\u306f\u3001\u4e00\u822c\u7684\u306b\u4f7f\u7528\u3055\u308c\u308b\u95a2\u6570\u306e\u8a73\u7d30\u306a\u8aac\u660e\u3067\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u4e26\u3073\u66ff\u3048\uff1a\n<ul class=\"wp-block-list\">\n<li><code>numpy.sort()<\/code>: \u5165\u529b\u914d\u5217\u306e\u30bd\u30fc\u30c8\u3055\u308c\u305f\u30b3\u30d4\u30fc\u3092\u8fd4\u3057\u307e\u3059\u3002\u30c7\u30d5\u30a9\u30eb\u30c8\u3067\u306f\u3001\u30bd\u30fc\u30c8\u306f\u6607\u9806\u3067\u884c\u308f\u308c\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr = np.array([3, 1, 2, 5, 4]) sorted_arr = np.sort(arr) print(sorted_arr) # \u8f93\u51fa\uff1a[1 2 3 4 5]<\/code><\/li>\n\n\n\n<li>\u591a\u6b21\u5143\u914d\u5217\u306e\u5834\u5408\u3001<code>axis<\/code>\u5f15\u6570\u3092\u4f7f\u7528\u3057\u3066\u30bd\u30fc\u30c8\u3059\u308b\u8ef8\u3092\u6307\u5b9a\u3067\u304d\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr = np.array([[3, 1, 2], [6, 5, 4]]) sorted_arr = np.sort(arr, axis=0) print(sorted_arr) # \u8f93\u51fa\uff1a[[3 1 2] # [6 5 4]]<\/code><\/li>\n\n\n\n<li><code>numpy.argsort()<\/code>: \u5165\u529b\u914d\u5217\u306e\u30bd\u30fc\u30c8\u6e08\u307f\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3092\u8fd4\u3057\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3092\u4f7f\u7528\u3057\u3066\u3001\u4ed6\u306e\u914d\u5217\u3092\u9593\u63a5\u7684\u306b\u4e26\u3079\u66ff\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr = np.array([3, 1, 2, 5, 4]) sorted_indices = np.argsort(arr) print(sorted_indices) # \u8f93\u51fa\uff1a[1 2 0 4 3]<\/code><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u691c\u7d22\uff1a\n<ul class=\"wp-block-list\">\n<li><code>numpy.argmax()<\/code>: \u6307\u5b9a\u3055\u308c\u305f\u8ef8\u306b\u6cbf\u3063\u305f\u6700\u5927\u5024\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3092\u8fd4\u3057\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr = np.array([3, 1, 2, 5, 4]) max_index = np.argmax(arr) print(max_index) # \u8f93\u51fa\uff1a3<\/code><\/li>\n\n\n\n<li><code>numpy.argmin()<\/code>: \u6307\u5b9a\u3055\u308c\u305f\u8ef8\u306b\u6cbf\u3063\u305f\u6700\u5c0f\u5024\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3092\u8fd4\u3057\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr = np.array([3, 1, 2, 5, 4]) min_index = np.argmin(arr) print(min_index) # \u8f93\u51fa\uff1a1<\/code><\/li>\n\n\n\n<li><code>numpy.where()<\/code>: \u6307\u5b9a\u3055\u308c\u305f\u57fa\u6e96\u3092\u6e80\u305f\u3059\u8981\u7d20\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3092\u8fd4\u3057\u307e\u3059\u3002\u7279\u5b9a\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u3092\u6301\u3064\u914d\u5217\u8981\u7d20\u3092\u691c\u7d22\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3067\u304d\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr = np.array([3, 1, 2, 5, 4]) even_indices = np.where(arr % 2 == 0) print(even_indices) # \u8f93\u51fa\uff1a(array([2, 4]),)<\/code><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u30ab\u30a6\u30f3\u30c8\uff1a\n<ul class=\"wp-block-list\">\n<li><code>numpy.count_nonzero()<\/code>: \u914d\u5217\u5185\u306e\u30bc\u30ed\u4ee5\u5916\u306e\u8981\u7d20\u306e\u6570\u3092\u30ab\u30a6\u30f3\u30c8\u3057\u307e\u3059\u3002\u7279\u5b9a\u306e\u6761\u4ef6\u3092\u6e80\u305f\u3059\u8981\u7d20\u306e\u6570\u3092\u30ab\u30a6\u30f3\u30c8\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3067\u304d\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr = np.array([3, 1, 2, 5, 4]) even_count = np.count_nonzero(arr % 2 == 0) print(even_count) # \u8f93\u51fa\uff1a2<\/code><\/li>\n\n\n\n<li><code>numpy.bincount()<\/code>: \u6574\u6570\u306e\u914d\u5217\u5185\u306e\u5404\u5024\u306e\u51fa\u73fe\u56de\u6570\u3092\u30ab\u30a6\u30f3\u30c8\u3057\u307e\u3059\u3002\u304c\u5165\u529b\u914d\u5217<code>max(x) + 1<\/code>\u3067\u3042\u308b\u9577\u3055\u306e\u914d\u5217\u3092\u8fd4\u3057\u307e\u3059\u3002<code>x<\/code>python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr = np.array([3, 1, 2, 5, 4,<\/code><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u7d9a\u3051\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<p>3, 1, 2, 5, 4])<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">perl\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc<code> count = np.bincount(arr)\n print(count)  # \u8f93\u51fa\uff1a[0 2 2 2 2 2]\n ```\n \u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c`count`\u6570\u7ec4\u7684\u7b2ci\u4e2a\u5143\u7d20\u8868\u793a\u503ci\u5728`arr`\u4e2d\u51fa\u73b0\u7684\u6b21\u6570\u3002\u4f8b\u5982\uff0c1\u51fa\u73b0\u4e862\u6b21\uff0c2\u51fa\u73b0\u4e862\u6b21\uff0c\u4f9d\u6b64\u7c7b\u63a8\u3002\n<\/code><\/pre>\n\n\n\n<p>\u4e0a\u8a18\u306f\u3001\u914d\u5217\u306e\u30bd\u30fc\u30c8\u3001\u691c\u7d22\u3001\u304a\u3088\u3073\u30ab\u30a6\u30f3\u30c8\u306e\u305f\u3081\u306b Numpy \u30e9\u30a4\u30d6\u30e9\u30ea\u3067\u4e00\u822c\u7684\u306b\u4f7f\u7528\u3055\u308c\u308b\u95a2\u6570\u3067\u3059\u3002\u3053\u308c\u3089\u306e\u95a2\u6570\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u914d\u5217\u8981\u7d20\u3092\u7c21\u5358\u306b\u4e26\u3079\u66ff\u3048\u3001\u691c\u7d22\u3001\u304a\u3088\u3073\u30ab\u30a6\u30f3\u30c8\u3067\u304d\u308b\u305f\u3081\u3001\u30c7\u30fc\u30bf\u3092\u3088\u308a\u52b9\u7387\u7684\u306b\u51e6\u7406\u304a\u3088\u3073\u5206\u6790\u3067\u304d\u307e\u3059\u3002\u5b9f\u969b\u306b\u306f\u3001\u3053\u308c\u3089\u306e\u95a2\u6570\u306f\u3001\u30c7\u30fc\u30bf\u306e\u524d\u51e6\u7406\u3001\u7279\u5fb4\u62bd\u51fa\u3001\u7d71\u8a08\u5206\u6790\u306a\u3069\u306e\u30bf\u30b9\u30af\u306b\u3088\u304f\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u57fa\u672c\u7684\u306a\u6982\u5ff5\u3092\u7fd2\u5f97\u3059\u308b\u3068\u3001Numpy \u3092\u914d\u5217\u64cd\u4f5c\u3068\u6570\u5024\u8a08\u7b97\u306b\u3088\u308a\u52b9\u679c\u7684\u306b\u4f7f\u7528\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>Numpy \u306e\u57fa\u672c\u7684\u306a\u6570\u5b66\u6f14\u7b97\u3092\u8a73\u3057\u304f\u8aac\u660e\u3057\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<p>Numpy \u306f\u3001\u914d\u5217\u306b\u5bfe\u3057\u3066\u8981\u7d20\u5358\u4f4d\u306e\u64cd\u4f5c\u3092\u5b9f\u884c\u3059\u308b\u4e00\u9023\u306e\u57fa\u672c\u7684\u306a\u6570\u5b66\u64cd\u4f5c\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002\u4e00\u822c\u7684\u306b\u4f7f\u7528\u3055\u308c\u308b\u57fa\u672c\u7684\u306a\u6570\u5b66\u6f14\u7b97\u3068\u305d\u306e\u8aac\u660e\u3092\u6b21\u306b\u793a\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u8981\u7d20\u5358\u4f4d\u306e\u64cd\u4f5c: \u3053\u308c\u3089\u306e\u64cd\u4f5c\u306f\u3001\u914d\u5217\u306e\u5404\u8981\u7d20\u306b\u500b\u5225\u306b\u9069\u7528\u3055\u308c\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u8db3\u3057\u7b97\u3001\u5f15\u304d\u7b97\u3001\u639b\u3051\u7b97\u3001\u5272\u308a\u7b97\u306a\u3069\u3067\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr1 = np.array([1, 2, 3]) arr2 = np.array([4, 5, 6]) # \u52a0\u6cd5 add_result = arr1 + arr2 print(add_result) # \u8f93\u51fa\uff1a[5 7 9] # \u51cf\u6cd5 sub_result = arr1 - arr2 print(sub_result) # \u8f93\u51fa\uff1a[-3 -3 -3] # \u4e58\u6cd5 mul_result = arr1 * arr2 print(mul_result) # \u8f93\u51fa\uff1a[ 4 10 18] # \u9664\u6cd5 div_result = arr1 \/ arr2 print(div_result) # \u8f93\u51fa\uff1a[0.25 0.4 0.5 ]<\/code><\/li>\n\n\n\n<li>\u30b9\u30ab\u30e9\u30fc\u64cd\u4f5c: \u30b9\u30ab\u30e9\u30fc\u306f\u3001\u914d\u5217\u306e\u5404\u8981\u7d20\u306b\u9069\u7528\u3067\u304d\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u914d\u5217\u306e\u5404\u8981\u7d20\u306b\u5b9a\u6570\u3092\u639b\u3051\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr = np.array([1, 2, 3]) # \u4e58\u4ee5\u6807\u91cf result = arr * 2 print(result) # \u8f93\u51fa\uff1a[2 4 6]<\/code><\/li>\n\n\n\n<li>\u6307\u6570\u6f14\u7b97\u3068\u5bfe\u6570\u6f14\u7b97: pythonCopy code<code>import numpy as np arr = np.array([1, 2, 3]) # \u6307\u6570\u8fd0\u7b97 exp_result = np.exp(arr) print(exp_result) # \u8f93\u51fa\uff1a[ 2.71828183 7.3890561 20.08553692] # \u5bf9\u6570\u8fd0\u7b97\uff08\u4ee5e\u4e3a\u5e95\uff09 log_result = np.log(arr) print(log_result) # \u8f93\u51fa\uff1a[0. 0.69314718 1.09861229] # \u5bf9\u6570\u8fd0\u7b97\uff08\u4ee510\u4e3a\u5e95\uff09 log10_result = np.log10(arr) print(log10_result) # \u8f93\u51fa\uff1a[0. 0.30103 0.47712125]<\/code><\/li>\n\n\n\n<li>\u4e09\u89d2\u95a2\u6570: python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr = np.array([0, np.pi \/ 2, np.pi]) # \u6b63\u5f26\u51fd\u6570 sin_result = np.sin(arr) print(sin_result) # \u8f93\u51fa\uff1a[0.0000000e+00 1.0000000e+00 1.2246468e-16] # \u4f59\u5f26\u51fd\u6570 cos_result = np.cos(arr) print(cos_result) # \u8f93\u51fa\uff1a[ 1.000000e+00 6.123234e-17 -1.000000e+00] # \u6b63\u5207\u51fd\u6570 tan_result = np.tan(arr) print(tan_result) # \u8f93\u51fa\uff1a[ 0.00000000e+00 1.63312394e+16 -1.22464680e-16]<\/code><\/li>\n\n\n\n<li>\u5207\u308a\u4e0a\u3052\u3001\u5207\u308a\u6368\u3066\u3001\u304a\u3088\u3073\u4e38\u3081:<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u7d9a\u3051\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np\n\narr = np.array([1.2, 2.5, 3.7, 4.1])\n\n# \u5411\u4e0a\u53d6\u6574\uff08ceil\uff09\nceil_result = np.ceil(arr)\nprint(ceil_result)  # \u8f93\u51fa\uff1a[2. 3. 4. 5.]\n\n# \u5411\u4e0b\u53d6\u6574\uff08floor\uff09\nfloor_result = np.floor(arr)\nprint(floor_result)  # \u8f93\u51fa\uff1a[1. 2. 3. 4.]\n\n# \u56db\u820d\u4e94\u5165\uff08round\uff09\nround_result = np.round(arr)\nprint(round_result)  # \u8f93\u51fa\uff1a[1. 2. 4. 4.]\n<\/code><\/pre>\n\n\n\n<ol class=\"wp-block-list\" start=\"6\">\n<li>\u7d71\u8a08\u95a2\u6570: \u3053\u308c\u3089\u306e\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u914d\u5217\u5185\u306e\u8981\u7d20\u306e\u6700\u5927\u5024\u3001\u6700\u5c0f\u5024\u3001\u5408\u8a08\u3001\u5e73\u5747\u5024\u306a\u3069\u306e\u7d71\u8a08\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr = np.array([1, 2, 3, 4, 5]) # \u6700\u5927\u503c max_val = np.max(arr) print(max_val) # \u8f93\u51fa\uff1a5 # \u6700\u5c0f\u503c min_val = np.min(arr) print(min_val) # \u8f93\u51fa\uff1a1 # \u603b\u548c sum_val = np.sum(arr) print(sum_val) # \u8f93\u51fa\uff1a15 # \u5e73\u5747\u503c mean_val = np.mean(arr) print(mean_val) # \u8f93\u51fa\uff1a3.0<\/code><\/li>\n<\/ol>\n\n\n\n<p>\u3053\u308c\u3089\u306e\u57fa\u672c\u7684\u306a\u6570\u5b66\u6f14\u7b97\u306f\u3001\u914d\u5217\u306b\u5bfe\u3057\u3066\u8981\u7d20\u5358\u4f4d\u306e\u6f14\u7b97\u3092\u5b9f\u884c\u3059\u308b\u305f\u3081\u3001\u914d\u5217\u306b\u5bfe\u3057\u3066\u3055\u307e\u3056\u307e\u306a\u8a08\u7b97\u3092\u7c21\u5358\u304b\u3064\u8fc5\u901f\u306b\u5b9f\u884c\u3067\u304d\u307e\u3059\u3002\u5b9f\u969b\u306e\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u3067\u306f\u3001\u3053\u308c\u3089\u306e\u64cd\u4f5c\u306f\u30c7\u30fc\u30bf\u51e6\u7406\u3001\u6570\u5024\u8a08\u7b97\u3001\u7d71\u8a08\u89e3\u6790\u306a\u3069\u306e\u30bf\u30b9\u30af\u3067\u3088\u304f\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u57fa\u672c\u7684\u306a\u6570\u5b66\u7684\u64cd\u4f5c\u3092\u7fd2\u5f97\u3059\u308b\u3068\u3001Numpy \u3092\u914d\u5217\u64cd\u4f5c\u3084\u6570\u5024\u8a08\u7b97\u306b\u3088\u308a\u52b9\u679c\u7684\u306b\u4f7f\u7528\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u7dda\u5f62\u4ee3\u6570\u6f14\u7b97\u3092\u8a73\u3057\u304f\u8aac\u660e\u3057\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<p>Numpy \u306f\u3001\u914d\u5217\u306b\u5bfe\u3057\u3066\u884c\u5217\u6f14\u7b97\u3068\u30d9\u30af\u30c8\u30eb\u8a08\u7b97\u3092\u5b9f\u884c\u3067\u304d\u308b\u4e00\u9023\u306e\u7dda\u5f62\u4ee3\u6570\u6f14\u7b97\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002\u4ee5\u4e0b\u306f\u3001\u4e00\u822c\u7684\u306b\u4f7f\u7528\u3055\u308c\u308b\u3044\u304f\u3064\u304b\u306e\u7dda\u5f62\u4ee3\u6570\u6f14\u7b97\u3068\u305d\u306e\u8aac\u660e\u3067\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u884c\u5217\u306e\u4e57\u7b97:&nbsp;<code>numpy.dot()<\/code>OR<code>numpy.matmul()<\/code>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u884c\u5217\u306e\u4e57\u7b97\u3092\u5b9f\u884c\u3057\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np A = np.array([[1, 2], [3, 4]]) B = np.array([[5, 6], [7, 8]]) # \u77e9\u9635\u4e58\u6cd5 C = np.dot(A, B) print(C) # \u8f93\u51fa\uff1a # [[19 22] # [43 50]]<\/code><\/li>\n\n\n\n<li>\u884c\u5217\u306e\u8ee2\u7f6e:&nbsp;<code>numpy.transpose()<\/code>OR<code>.T<\/code>\u5c5e\u6027\u3092\u4f7f\u7528\u3057\u3066\u3001\u884c\u5217\u3092\u8ee2\u7f6e\u3057\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np A = np.array([[1, 2], [3, 4]]) # \u77e9\u9635\u8f6c\u7f6e A_T = np.transpose(A) # \u6216\u8005\u4f7f\u7528 # A_T = A.T print(A_T) # \u8f93\u51fa\uff1a # [[1 3] # [2 4]]<\/code><\/li>\n\n\n\n<li>\u9006\u884c\u5217:<code>numpy.linalg.inv()<\/code>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u884c\u5217\u3092\u53cd\u8ee2\u3057\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np A = np.array([[1, 2], [3, 4]]) # \u9006\u77e9\u9635 A_inv = np.linalg.inv(A) print(A_inv) # \u8f93\u51fa\uff1a # [[-2. 1. ] # [ 1.5 -0.5]]<\/code><\/li>\n\n\n\n<li>\u884c\u5217\u5f0f\u3092\u898b\u3064\u3051\u308b:<code>numpy.linalg.det()<\/code>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u884c\u5217\u306e\u884c\u5217\u5f0f\u3092\u898b\u3064\u3051\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np A = np.array([[1, 2], [3, 4]]) # \u884c\u5217\u5f0f det_A = np.linalg.det(A) print(det_A) # \u8f93\u51fa\uff1a-2.0000000000000004<\/code><\/li>\n\n\n\n<li>\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u898b\u3064\u3051\u308b:<code>numpy.linalg.eig()<\/code>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u884c\u5217\u306e\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u898b\u3064\u3051\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np A = np.array([[1, 2], [3, 4]]) # \u7279\u5f81\u503c\u548c\u7279\u5f81\u5411\u91cf eigenvalues, eigenvectors = np.linalg.eig(A) print(\"\u7279\u5f81\u503c\uff1a\", eigenvalues) print(\"\u7279\u5f81\u5411\u91cf\uff1a\", eigenvectors)<\/code><\/li>\n\n\n\n<li>\u7dda\u5f62\u65b9\u7a0b\u5f0f\u7cfb\u3092\u89e3\u304f:<code>numpy.linalg.solve()<\/code>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u7dda\u5f62\u65b9\u7a0b\u5f0f\u7cfb\u3092\u89e3\u304d\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np # \u65b9\u7a0b\u7cfb\u6570\u77e9\u9635 A = np.array([[1, 2], [3, 4]]) # \u65b9\u7a0b\u53f3\u4fa7\u5e38\u6570\u9879 b = np.array([5, 6]) # \u6c42\u89e3\u7ebf\u6027\u65b9\u7a0b\u7ec4 x = np.linalg.solve(A, b) print(x) # \u8f93\u51fa\uff1a[-4. 4.5]<\/code><\/li>\n\n\n\n<li>\u8a08\u7b97\u30e2\u30fc\u30e1\u30f3\u30c8<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u7d9a\u3051\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<p>\u884c\u5217\u306e\u30e9\u30f3\u30af:<code>numpy.linalg.matrix_rank()<\/code>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u884c\u5217\u306e\u30e9\u30f3\u30af\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np\n\nA = np.array([[1, 2, 3],\n              [4, 5, 6],\n              [7, 8, 9]])\n\n# \u77e9\u9635\u7684\u79e9\nrank_A = np.linalg.matrix_rank(A)\nprint(rank_A)  # \u8f93\u51fa\uff1a2\n<\/code><\/pre>\n\n\n\n<ol class=\"wp-block-list\" start=\"8\">\n<li>\u884c\u5217\u306e\u30c8\u30ec\u30fc\u30b9\u3092\u8a08\u7b97\u3059\u308b:<code>numpy.trace()<\/code>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u884c\u5217\u306e\u30c8\u30ec\u30fc\u30b9 (\u4e3b\u5bfe\u89d2\u8981\u7d20\u306e\u5408\u8a08) \u3092\u8a08\u7b97\u3057\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np A = np.array([[1, 2], [3, 4]]) # \u77e9\u9635\u7684\u8ff9 trace_A = np.trace(A) print(trace_A) # \u8f93\u51fa\uff1a5<\/code><\/li>\n\n\n\n<li>\u884c\u5217\u306e\u7279\u7570\u5024\u5206\u89e3 (SVD) \u3092\u8a08\u7b97\u3059\u308b:<code>numpy.linalg.svd()<\/code>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u884c\u5217\u306e\u7279\u7570\u5024\u5206\u89e3\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np A = np.array([[1, 2], [3, 4]]) # \u5947\u5f02\u503c\u5206\u89e3 U, S, V_T = np.linalg.svd(A) print(\"U:\\n\", U) print(\"S:\\n\", S) print(\"V_T:\\n\", V_T)<\/code><\/li>\n<\/ol>\n\n\n\n<p>\u4e0a\u8a18\u306f\u3001Numpy \u30e9\u30a4\u30d6\u30e9\u30ea\u3067\u7dda\u5f62\u4ee3\u6570\u6f14\u7b97\u306b\u4e00\u822c\u7684\u306b\u4f7f\u7528\u3055\u308c\u308b\u95a2\u6570\u3067\u3059\u3002\u3053\u308c\u3089\u306e\u95a2\u6570\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u884c\u5217\u6f14\u7b97\u3084\u30d9\u30af\u30c8\u30eb\u8a08\u7b97\u3092\u7c21\u5358\u306b\u5b9f\u884c\u3057\u3066\u3001\u30c7\u30fc\u30bf\u3092\u3088\u308a\u52b9\u7387\u7684\u306b\u51e6\u7406\u304a\u3088\u3073\u5206\u6790\u3067\u304d\u307e\u3059\u3002\u5b9f\u969b\u306e\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u3067\u306f\u3001\u3053\u308c\u3089\u306e\u64cd\u4f5c\u306f\u30c7\u30fc\u30bf\u51e6\u7406\u3001\u7279\u5fb4\u62bd\u51fa\u3001\u7d71\u8a08\u5206\u6790\u306a\u3069\u306e\u30bf\u30b9\u30af\u306b\u3088\u304f\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u57fa\u672c\u7684\u306a\u6982\u5ff5\u3092\u7fd2\u5f97\u3059\u308b\u3068\u3001Numpy \u3092\u914d\u5217\u64cd\u4f5c\u3068\u6570\u5024\u8a08\u7b97\u306b\u3088\u308a\u52b9\u679c\u7684\u306b\u4f7f\u7528\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u7d71\u8a08\u95a2\u6570\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u6559\u3048\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<p>Numpy \u30e9\u30a4\u30d6\u30e9\u30ea\u306b\u306f\u3001\u914d\u5217\u5185\u306e\u8981\u7d20\u306e\u5e73\u5747\u3001\u5206\u6563\u3001\u6a19\u6e96\u504f\u5dee\u306a\u3069\u306e\u7d71\u8a08\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3067\u304d\u308b\u591a\u304f\u306e\u4fbf\u5229\u306a\u7d71\u8a08\u95a2\u6570\u304c\u542b\u307e\u308c\u3066\u3044\u307e\u3059\u3002\u4ee5\u4e0b\u306f\u3001\u4e00\u822c\u7684\u306b\u4f7f\u7528\u3055\u308c\u308b\u7d71\u8a08\u95a2\u6570\u3068\u305d\u306e\u8aac\u660e\u3067\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u5e73\u5747:<code>numpy.mean()<\/code>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u914d\u5217\u306e\u8981\u7d20\u306e\u5e73\u5747\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr = np.array([1, 2, 3, 4, 5]) # \u5e73\u5747\u503c mean_val = np.mean(arr) print(mean_val) # \u8f93\u51fa\uff1a3.0<\/code><\/li>\n\n\n\n<li>\u4e2d\u592e\u5024:<code>numpy.median()<\/code>\u3053\u306e\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u914d\u5217\u306e\u8981\u7d20\u306e\u4e2d\u592e\u5024\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr = np.array([1, 2, 3, 4, 5]) # \u4e2d\u4f4d\u6570 median_val = np.median(arr) print(median_val) # \u8f93\u51fa\uff1a3.0<\/code><\/li>\n\n\n\n<li>\u5206\u6563:<code>numpy.var()<\/code>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u914d\u5217\u306e\u8981\u7d20\u306e\u5206\u6563\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr = np.array([1, 2, 3, 4, 5]) # \u65b9\u5dee var_val = np.var(arr) print(var_val) # \u8f93\u51fa\uff1a2.0<\/code><\/li>\n\n\n\n<li>\u6a19\u6e96\u504f\u5dee:<code>numpy.std()<\/code>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u914d\u5217\u306e\u8981\u7d20\u306e\u6a19\u6e96\u504f\u5dee\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr = np.array([1, 2, 3, 4, 5]) # \u6807\u51c6\u5dee std_val = np.std(arr) print(std_val) # \u8f93\u51fa\uff1a1.4142135623730951<\/code><\/li>\n\n\n\n<li>\u5171\u5206\u6563:<code>numpy.cov()<\/code>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u914d\u5217\u8981\u7d20\u306e\u5171\u5206\u6563\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np x = np.array([1, 2, 3, 4, 5]) y = np.array([5, 4, 3, 2, 1]) # \u534f\u65b9\u5dee cov_matrix = np.cov(x, y) print(cov_matrix) # \u8f93\u51fa\uff1a # [[ 2.5 -2.5] # [-2.5 2.5]]<\/code><\/li>\n\n\n\n<li>\u76f8\u95a2\u4fc2\u6570:<code>numpy.corrcoef()<\/code>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u914d\u5217\u8981\u7d20\u306e\u76f8\u95a2\u4fc2\u6570\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np x = np.array([1, 2, 3, 4, 5]) y = np.array([5, 4, 3, 2, 1]) # \u76f8\u5173\u7cfb\u6570 corr_matrix = np.corrcoef(x, y) print(corr_matrix) # \u8f93\u51fa\uff1a # [[ 1. -1.] # [-1. 1.]]<\/code><\/li>\n\n\n\n<li>\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0:<code>numpy.histogram()<\/code>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u914d\u5217\u8981\u7d20\u306e\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np data = np.array([1, 2, 1, 2, 3, 4, 3, 5, 1, 5]) # \u76f4\u65b9\u56fe hist, bin_edges = np.histogram(data, bins=5) print(\"\u76f4<\/code><\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u7d9a\u3051\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<p>\u65b9\u5f62\u30b0\u30e9\u30d5: &#8220;, hist) # \u51fa\u529b: [3 2 2 1 2] print(&#8220;\u30d3\u30cb\u30f3\u30b0\u5883\u754c:&#8221;, bin_edges) # \u51fa\u529b: [1. 1.8 2.6 3.4 4.2 5. ]<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"8\">\n<li>\u30d1\u30fc\u30bb\u30f3\u30bf\u30a4\u30eb:<code>numpy.percentile()<\/code>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u914d\u5217\u8981\u7d20\u306e\u30d1\u30fc\u30bb\u30f3\u30bf\u30a4\u30eb\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np data = np.array([1, 2, 3, 4, 5, 6, 7, 8, 9, 10]) # \u8ba1\u7b9725%, 50%, 75%\u767e\u5206\u4f4d\u6570 q25 = np.percentile(data, 25) q50 = np.percentile(data, 50) q75 = np.percentile(data, 75) print(\"25% \u767e\u5206\u4f4d\u6570\uff1a\", q25) # \u8f93\u51fa\uff1a3.25 print(\"50% \u767e\u5206\u4f4d\u6570\uff1a\", q50) # \u8f93\u51fa\uff1a5.5 print(\"75% \u767e\u5206\u4f4d\u6570\uff1a\", q75) # \u8f93\u51fa\uff1a7.75<\/code><\/li>\n\n\n\n<li>\u7d2f\u7a4d\u5408\u8a08:<code>numpy.cumsum()<\/code>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u914d\u5217\u8981\u7d20\u306e\u7d2f\u7a4d\u5408\u8a08\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr = np.array([1, 2, 3, 4, 5]) # \u7d2f\u79ef\u548c cumsum = np.cumsum(arr) print(cumsum) # \u8f93\u51fa\uff1a[ 1 3 6 10 15]<\/code><\/li>\n\n\n\n<li>\u7d2f\u7a4d\u7a4d:<code>numpy.cumprod()<\/code>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u914d\u5217\u8981\u7d20\u306e\u7d2f\u7a4d\u7a4d\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np arr = np.array([1, 2, 3, 4, 5]) # \u7d2f\u79ef\u79ef cumprod = np.cumprod(arr) print(cumprod) # \u8f93\u51fa\uff1a[ 1 2 6 24 120]<\/code><\/li>\n<\/ol>\n\n\n\n<p>\u3053\u308c\u3089\u306e\u7d71\u8a08\u95a2\u6570\u306f\u3001\u30c7\u30fc\u30bf\u306e\u5206\u6790\u3068\u51e6\u7406\u306e\u76ee\u6a19\u3092\u9054\u6210\u3059\u308b\u305f\u3081\u306b\u3001\u914d\u5217\u5185\u306e\u3055\u307e\u3056\u307e\u306a\u7d71\u8a08\u3092\u7c21\u5358\u306b\u8a08\u7b97\u3059\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002\u5b9f\u969b\u306b\u306f\u3001\u3053\u308c\u3089\u306e\u64cd\u4f5c\u306f\u3001\u30c7\u30fc\u30bf\u5206\u6790\u3001\u7279\u5fb4\u62bd\u51fa\u3001\u7d71\u8a08\u30e2\u30c7\u30ea\u30f3\u30b0\u306a\u3069\u306e\u30bf\u30b9\u30af\u3067\u3088\u304f\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u7d71\u8a08\u95a2\u6570\u3092\u7fd2\u5f97\u3059\u308b\u3068\u3001Numpy \u3092\u914d\u5217\u64cd\u4f5c\u3084\u6570\u5024\u8a08\u7b97\u306b\u3055\u3089\u306b\u52b9\u679c\u7684\u306b\u4f7f\u7528\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>Numpy \u69cb\u9020\u5316\u914d\u5217\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u8aac\u660e\u3057\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<p>Numpy \u69cb\u9020\u5316\u914d\u5217 (Structured Arrays) \u306f\u3001\u7570\u306a\u308b\u30c7\u30fc\u30bf\u578b\u306e\u30c7\u30fc\u30bf\u3092 1 \u3064\u306e\u914d\u5217\u306b\u683c\u7d0d\u3067\u304d\u308b\u7279\u6b8a\u306a\u914d\u5217\u578b\u3067\u3059\u3002\u69cb\u9020\u5316\u914d\u5217\u306f\u3001\u8868\u5f62\u5f0f\u306e\u30c7\u30fc\u30bf\u3092\u64cd\u4f5c\u3057\u305f\u308a\u3001\u4ed6\u306e\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u8a00\u8a9e\u3067\u69cb\u9020\u4f53\u3092\u64cd\u4f5c\u3057\u305f\u308a\u3059\u308b\u5834\u5408\u306a\u3069\u3001\u7279\u5b9a\u306e\u30b7\u30ca\u30ea\u30aa\u3067\u5f79\u7acb\u3061\u307e\u3059\u3002\u69cb\u9020\u5316\u914d\u5217\u306e\u8981\u7d20\u306f\u3001C \u8a00\u8a9e\u306e\u69cb\u9020\u4f53\u307e\u305f\u306f SQL \u30c7\u30fc\u30bf\u30d9\u30fc\u30b9\u306e\u30c6\u30fc\u30d6\u30eb \u30ec\u30b3\u30fc\u30c9\u3068\u3057\u3066\u8868\u793a\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>Numpy \u69cb\u9020\u5316\u914d\u5217\u3092\u4f5c\u6210\u3057\u3066\u4f7f\u7528\u3059\u308b\u65b9\u6cd5\u306e\u4f8b\u3092\u6b21\u306b\u793a\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u69cb\u9020\u5316\u914d\u5217\u306e\u4f5c\u6210: \u307e\u305a\u3001\u30d5\u30a3\u30fc\u30eb\u30c9\u540d\u3001\u30d5\u30a3\u30fc\u30eb\u30c9 \u30bf\u30a4\u30d7\u3001\u30d5\u30a3\u30fc\u30eb\u30c9 \u30b5\u30a4\u30ba\u306a\u3069\u306e\u60c5\u5831\u3092\u542b\u3080\u30c7\u30fc\u30bf\u578b\u8a18\u8ff0\u5b50 (dtype) \u3092\u5b9a\u7fa9\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u6b21\u306b\u3001<code>numpy.array()<\/code>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u69cb\u9020\u5316\u914d\u5217\u3092\u4f5c\u6210\u3057\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np # \u5b9a\u4e49\u6570\u636e\u7c7b\u578b\u63cf\u8ff0\u7b26 dtype = [('name', 'S10'), ('age', 'i4'), ('height', 'f8')] # \u521b\u5efa\u7ed3\u6784\u5316\u6570\u7ec4 data = np.array([('Alice', 25, 1.7), ('Bob', 32, 1.8), ('Cathy', 29, 1.65)], dtype=dtype) print(data) # \u8f93\u51fa\uff1a # [(b'Alice', 25, 1.7 ) (b'Bob', 32, 1.8 ) (b'Cathy', 29, 1.65)]<\/code><\/li>\n\n\n\n<li>\u69cb\u9020\u5316\u914d\u5217\u306e\u30d5\u30a3\u30fc\u30eb\u30c9\u3078\u306e\u30a2\u30af\u30bb\u30b9: \u69cb\u9020\u5316\u914d\u5217\u306e\u30d5\u30a3\u30fc\u30eb\u30c9\u306b\u306f\u3001\u30d5\u30a3\u30fc\u30eb\u30c9\u540d\u3092\u4f7f\u7528\u3057\u3066\u76f4\u63a5\u30a2\u30af\u30bb\u30b9\u3067\u304d\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np dtype = [('name', 'S10'), ('age', 'i4'), ('height', 'f8')] data = np.array([('Alice', 25, 1.7), ('Bob', 32, 1.8), ('Cathy', 29, 1.65)], dtype=dtype) # \u8bbf\u95ee\"name\"\u5b57\u6bb5 print(data['name']) # \u8f93\u51fa\uff1a[b'Alice' b'Bob' b'Cathy'] # \u8bbf\u95ee\"age\"\u5b57\u6bb5 print(data['age']) # \u8f93\u51fa\uff1a[25 32 29] # \u8bbf\u95ee\"height\"\u5b57\u6bb5 print(data['height']) # \u8f93\u51fa\uff1a[1.7 1.8 1.65]<\/code><\/li>\n\n\n\n<li>\u69cb\u9020\u5316\u914d\u5217\u306e\u30d5\u30a3\u30fc\u30eb\u30c9\u306e\u5909\u66f4: \u69cb\u9020\u5316\u914d\u5217\u306e\u30d5\u30a3\u30fc\u30eb\u30c9\u5024\u306f\u3001\u30d5\u30a3\u30fc\u30eb\u30c9\u540d\u304b\u3089\u76f4\u63a5\u5909\u66f4\u3067\u304d\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np dtype = [('name', 'S10'), ('age', 'i4'), ('height', 'f8')] data = np.array([('Alice', 25, 1.7), ('Bob', 32, 1.8), ('Cathy', 29, 1.65)], dtype=dtype) # \u4fee\u6539\"name\"\u5b57\u6bb5 data['name'][0] = 'Alicia' print(data[0]) # \u8f93\u51fa\uff1a(b'Alicia', 25, 1.7) # \u4fee\u6539\"age\"\u5b57\u6bb5 data['age'][1] = 33 print(data[1]) # \u8f93\u51fa\uff1a(b'Bob', 33, 1.8) # \u4fee\u6539\"height\"\u5b57\u6bb5 data['height'][2] = 1.68 print(data[2]) # \u8f93\u51fa\uff1a(<\/code><\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u7d9a\u3051\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<p>b&#8217;Cathy&#8217;, 29, 1.68)<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">scss\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>\n4. \u7ed3\u6784\u5316\u6570\u7ec4\u7684\u5207\u7247\u548c\u7d22\u5f15\uff1a\n\n\u7ed3\u6784\u5316\u6570\u7ec4\u652f\u6301\u5207\u7247\u548c\u7d22\u5f15\u64cd\u4f5c\uff0c\u4e0e\u666e\u901aNumpy\u6570\u7ec4\u7c7b\u4f3c\u3002\n\n```python\nimport numpy as np\n\ndtype = [('name', 'S10'), ('age', 'i4'), ('height', 'f8')]\ndata = np.array([('Alice', 25, 1.7),\n                 ('Bob', 32, 1.8),\n                 ('Cathy', 29, 1.65)],\n                dtype=dtype)\n\n# \u7d22\u5f15\u64cd\u4f5c\nprint(data[0])  # \u8f93\u51fa\uff1a(b'Alice', 25, 1.7)\n\n# \u5207\u7247\u64cd\u4f5c\nprint(data[:2])  # \u8f93\u51fa\uff1a[(b'Alice', 25, 1.7 ) (b'Bob', 32, 1.8 )]\n<\/code><\/pre>\n\n\n\n<ol class=\"wp-block-list\" start=\"5\">\n<li><code>numpy.lib.recfunctions<\/code>\u69cb\u9020\u5316\u914d\u5217\u3078\u306e\u65b0\u3057\u3044\u30d5\u30a3\u30fc\u30eb\u30c9\u306e\u8ffd\u52a0: \u69cb\u9020\u5316\u914d\u5217\u306b\u65b0\u3057\u3044\u30d5\u30a3\u30fc\u30eb\u30c9\u3092\u8ffd\u52a0\u3059\u308b\u306b\u306f\u3001\u30e2\u30b8\u30e5\u30fc\u30eb\u306e<code>append_fields()<\/code>\u95a2\u6570\u3092\u4f7f\u7528\u3067\u304d\u307e\u3059\u3002python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import numpy as np from numpy.lib import recfunctions as rfn dtype = [('name', 'S10'), ('age', 'i4'), ('height', 'f8')] data = np.array([('Alice', 25, 1.7), ('Bob', 32, 1.8), ('Cathy', 29, 1.65)], dtype=dtype) # \u6dfb\u52a0\u65b0\u5b57\u6bb5\"weight\" weight = np.array([55, 72, 60]) data = rfn.append_fields(data, 'weight', weight, usemask=False) print(data) # \u8f93\u51fa\uff1a # [(b'Alice', 25, 1.7 , 55) (b'Bob', 32, 1.8 , 72) (b'Cathy', 29, 1.65, 60)]<\/code><\/li>\n<\/ol>\n\n\n\n<p>\u8981\u7d04\u3059\u308b\u3068\u3001Numpy \u69cb\u9020\u5316\u914d\u5217\u306f\u3001\u7279\u306b\u8868\u5f62\u5f0f\u306e\u30c7\u30fc\u30bf\u3092\u6271\u3046\u5834\u5408\u306b\u3001\u3055\u307e\u3056\u307e\u306a\u30c7\u30fc\u30bf\u578b\u306e\u30c7\u30fc\u30bf\u3092\u51e6\u7406\u3059\u308b\u4fbf\u5229\u306a\u65b9\u6cd5\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002\u69cb\u9020\u5316\u914d\u5217\u306e\u4f5c\u6210\u3001\u30a2\u30af\u30bb\u30b9\u3001\u5909\u66f4\u3001\u304a\u3088\u3073\u305d\u306e\u4ed6\u306e\u64cd\u4f5c\u3092\u30de\u30b9\u30bf\u30fc\u3059\u308b\u3053\u3068\u3067\u3001\u30c7\u30fc\u30bf\u3092\u3088\u308a\u52b9\u7387\u7684\u306b\u51e6\u7406\u304a\u3088\u3073\u5206\u6790\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u914d\u5217\u3084\u30d5\u30a1\u30a4\u30eb\u306e\u5165\u51fa\u529b\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u6559\u3048\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<p>Numpy \u306f\u3001\u30d5\u30a1\u30a4\u30eb\u3068\u914d\u5217\u306e\u9593\u3067\u30c7\u30fc\u30bf\u3092\u4ea4\u63db\u3059\u308b\u305f\u3081\u306e\u3055\u307e\u3056\u307e\u306a\u5165\u51fa\u529b (I\/O) \u95a2\u6570\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002\u30d5\u30a1\u30a4\u30eb\u306e\u5165\u51fa\u529b\u306b Numpy \u3092\u4f7f\u7528\u3059\u308b\u4e00\u822c\u7684\u306a\u65b9\u6cd5\u3092\u6b21\u306b\u793a\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><code>numpy.savetxt<\/code>\u3068 \u3092\u4f7f\u7528\u3057\u3066\u3001<code>numpy.loadtxt<\/code>\u30c6\u30ad\u30b9\u30c8 \u30d5\u30a1\u30a4\u30eb\u3092\u8aad\u307f\u66f8\u304d\u3057\u307e\u3059\u3002\n<ul class=\"wp-block-list\">\n<li>\u914d\u5217\u3092\u30c6\u30ad\u30b9\u30c8 \u30d5\u30a1\u30a4\u30eb\u306b\u4fdd\u5b58\u3059\u308b: pythonCopy code<code>import numpy as np arr = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]]) # \u5c06\u6570\u7ec4\u4fdd\u5b58\u5230\u6587\u672c\u6587\u4ef6 np.savetxt('array.txt', arr, delimiter=',', fmt='%d')<\/code><\/li>\n\n\n\n<li>\u30c6\u30ad\u30b9\u30c8 \u30d5\u30a1\u30a4\u30eb\u304b\u3089\u914d\u5217\u3092\u8aad\u307f\u8fbc\u3080: pythonCopy code<code>import numpy as np # \u4ece\u6587\u672c\u6587\u4ef6\u4e2d\u52a0\u8f7d\u6570\u7ec4 arr = np.loadtxt('array.txt', delimiter=',', dtype=int) print(arr) # \u8f93\u51fa\uff1a # [[1 2 3] # [4 5 6] # [7 8 9]]<\/code><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><code>numpy.save<\/code>\u304a\u3088\u3073\u3092\u4f7f\u7528\u3057\u3066\u3001<code>numpy.load<\/code>\u30d0\u30a4\u30ca\u30ea \u30d5\u30a1\u30a4\u30eb\u3092\u8aad\u307f\u66f8\u304d\u3057\u307e\u3059\u3002\n<ul class=\"wp-block-list\">\n<li>\u30d0\u30a4\u30ca\u30ea \u30d5\u30a1\u30a4\u30eb\u3078\u306e\u914d\u5217\u306e\u4fdd\u5b58: pythonCopy \u30b3\u30fc\u30c9<code>import numpy as np arr = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]]) # \u5c06\u6570\u7ec4\u4fdd\u5b58\u5230\u4e8c\u8fdb\u5236\u6587\u4ef6\uff08.npy \u6587\u4ef6\uff09 np.save('array.npy', arr)<\/code><\/li>\n\n\n\n<li>\u30d0\u30a4\u30ca\u30ea \u30d5\u30a1\u30a4\u30eb\u304b\u3089\u306e\u914d\u5217\u306e\u8aad\u307f\u8fbc\u307f: pythonCopy \u30b3\u30fc\u30c9<code>import numpy as np # \u4ece\u4e8c\u8fdb\u5236\u6587\u4ef6\u4e2d\u52a0\u8f7d\u6570\u7ec4 arr = np.load('array.npy') print(arr) # \u8f93\u51fa\uff1a # [[1 2 3] # [4 5 6] # [7 8 9]]<\/code><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><code>numpy.savez<\/code>\u304a\u3088\u3073\u3092\u4f7f\u7528\u3057\u3066\u3001<code>numpy.load<\/code>\u8907\u6570\u306e\u914d\u5217\u3092\u30d0\u30a4\u30ca\u30ea \u30d5\u30a1\u30a4\u30eb\u306b\u8aad\u307f\u66f8\u304d\u3057\u307e\u3059\u3002\n<ul class=\"wp-block-list\">\n<li>\u8907\u6570\u306e\u914d\u5217\u3092\u30d0\u30a4\u30ca\u30ea \u30d5\u30a1\u30a4\u30eb\u306b\u4fdd\u5b58\u3059\u308b: pythonCopy code<code>import numpy as np arr1 = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]]) arr2 = np.array([10, 11, 12]) # \u5c06\u591a\u4e2a\u6570\u7ec4\u4fdd\u5b58\u5230\u4e00\u4e2a\u4e8c\u8fdb\u5236\u6587\u4ef6\uff08.npz \u6587\u4ef6\uff09 np.savez('arrays.npz', array1=arr1, array2=arr2)<\/code><\/li>\n\n\n\n<li>\u30d0\u30a4\u30ca\u30ea \u30d5\u30a1\u30a4\u30eb\u304b\u3089\u8907\u6570\u306e\u914d\u5217\u3092\u8aad\u307f\u8fbc\u3080: pythonCopy \u30b3\u30fc\u30c9<code>import numpy as np # \u4ece\u4e8c\u8fdb\u5236\u6587\u4ef6\u4e2d\u52a0\u8f7d\u591a\u4e2a\u6570\u7ec4 arrays = np.load('arrays.npz') arr1 = arrays['array1'] arr2 = arrays['array2'] print(arr1) # \u8f93\u51fa\uff1a # [[1 2 3] # [4 5 6] # [7 8 9]] print(arr2) # \u8f93\u51fa\uff1a[10 11 12]<\/code><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p>\u8981\u7d04\u3059\u308b\u3068\u3001Numpy \u306f\u914d\u5217\u3068\u30d5\u30a1\u30a4\u30eb\u3092\u8aad\u307f\u66f8\u304d\u3059\u308b\u305f\u3081\u306e\u3055\u307e\u3056\u307e\u306a\u65b9\u6cd5\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u65b9\u6cd5\u306b\u7fd2\u719f\u3059\u308b\u3068\u3001\u30d5\u30a1\u30a4\u30eb\u3068\u914d\u5217\u306e\u9593\u3067\u30c7\u30fc\u30bf\u3092\u7c21\u5358\u306b\u4ea4\u63db\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u30e1\u30e2\u30ea \u30de\u30c3\u30d7\u30c9 \u30d5\u30a1\u30a4\u30eb\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u8aac\u660e\u3057\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<p>\u3053\u306e\u4f1a\u8a71\u3067\u4f7f\u7528\u3055\u308c\u305f\u4ee5\u524d\u306e\u30e2\u30c7\u30eb\u306f\u4f7f\u7528\u3067\u304d\u307e\u305b\u3093\u3002\u6700\u65b0\u306e\u30c7\u30d5\u30a9\u30eb\u30c8 \u30e2\u30c7\u30eb\u306b\u5207\u308a\u66ff\u3048\u307e\u3057\u305f<\/p>\n\n\n\n<p>\u30e1\u30e2\u30ea \u30de\u30c3\u30d7\u30c8 \u30d5\u30a1\u30a4\u30eb (Memory-mapped files) \u306f\u3001\u30d5\u30a1\u30a4\u30eb\u306e\u5185\u5bb9\u3092\u30e1\u30e2\u30ea\u306b\u30de\u30c3\u30d4\u30f3\u30b0\u3059\u308b\u65b9\u6cd5\u3067\u3001\u901a\u5e38\u306e Numpy \u914d\u5217\u306e\u3088\u3046\u306b\u30d5\u30a1\u30a4\u30eb\u306e\u5185\u5bb9\u306b\u30a2\u30af\u30bb\u30b9\u3067\u304d\u307e\u3059\u3002\u901a\u5e38\u3001\u3053\u306e\u65b9\u6cd5\u306f\u901a\u5e38\u306e\u30d5\u30a1\u30a4\u30eb I\/O \u3088\u308a\u3082\u9ad8\u901f\u3067\u3001\u30d5\u30a1\u30a4\u30eb\u5168\u4f53\u3092\u30e1\u30e2\u30ea\u306b\u30ed\u30fc\u30c9\u3059\u308b\u3053\u3068\u306a\u304f\u3001\u30d5\u30a1\u30a4\u30eb\u3078\u306e\u30e9\u30f3\u30c0\u30e0 \u30a2\u30af\u30bb\u30b9\u3092\u8a31\u53ef\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>Numpy \u3092\u4f7f\u7528\u3057\u305f\u30e1\u30e2\u30ea \u30de\u30c3\u30d4\u30f3\u30b0 \u30d5\u30a1\u30a4\u30eb\u306e\u57fa\u672c\u7684\u306a\u624b\u9806\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u65b0\u3057\u3044\u30e1\u30e2\u30ea \u30de\u30c3\u30d7\u30c8 \u30d5\u30a1\u30a4\u30eb\u3092\u4f5c\u6210\u3057\u307e\u3059: pythonCopy code<code>import numpy as np # \u521b\u5efa\u4e00\u4e2a\u5927\u5c0f\u4e3a10\u7684\u5185\u5b58\u6620\u5c04\u6587\u4ef6 mmap = np.memmap('data.bin', dtype='float32', mode='w+', shape=(10,))<\/code><\/li>\n\n\n\n<li>\u30e1\u30e2\u30ea \u30de\u30c3\u30d7\u30c8 \u30d5\u30a1\u30a4\u30eb\u306b\u30c7\u30fc\u30bf\u3092\u66f8\u304d\u8fbc\u3080: pythonCopy code<code>import numpy as np # \u521b\u5efa\u4e00\u4e2a\u5927\u5c0f\u4e3a10\u7684\u5185\u5b58\u6620\u5c04\u6587\u4ef6 mmap = np.memmap('data.bin', dtype='float32', mode='w+', shape=(10,)) # \u5c06\u6570\u636e\u5199\u5165\u5185\u5b58\u6620\u5c04\u6587\u4ef6 mmap[:] = np.random.rand(10)<\/code><\/li>\n\n\n\n<li>\u30e1\u30e2\u30ea \u30de\u30c3\u30d7\u30c8 \u30d5\u30a1\u30a4\u30eb\u304b\u3089\u306e\u30c7\u30fc\u30bf\u306e\u8aad\u307f\u53d6\u308a: pythonCopy \u30b3\u30fc\u30c9<code>import numpy as np # \u6253\u5f00\u4e00\u4e2a\u5df2\u7ecf\u5b58\u5728\u7684\u5185\u5b58\u6620\u5c04\u6587\u4ef6 mmap = np.memmap('data.bin', dtype='float32', mode='r', shape=(10,)) # \u8bfb\u53d6\u5185\u5b58\u6620\u5c04\u6587\u4ef6\u4e2d\u7684\u6570\u636e print(mmap[:]) # \u8f93\u51fa\uff1a[0.09657331 0.41412982 0.22753178 0.36957222 0.60524863 0.5531499 # 0.54240286 0.5989496 0.47942564 0.7396767 ]<\/code><\/li>\n\n\n\n<li>\u30e1\u30e2\u30ea \u30de\u30c3\u30d7\u30c8 \u30d5\u30a1\u30a4\u30eb\u306e\u30c7\u30fc\u30bf\u3092\u5909\u66f4\u3059\u308b: pythonCopy code<code>import numpy as np # \u6253\u5f00\u4e00\u4e2a\u5df2\u7ecf\u5b58\u5728\u7684\u5185\u5b58\u6620\u5c04\u6587\u4ef6 mmap = np.memmap('data.bin', dtype='float32', mode='r+', shape=(10,)) # \u4fee\u6539\u5185\u5b58\u6620\u5c04\u6587\u4ef6\u4e2d\u7684\u6570\u636e mmap[0] = 0.1234 print(mmap[:]) # \u8f93\u51fa\uff1a[0.1234 0.41412982 0.22753178 0.36957222 0.60524863 0.5531499 # 0.54240286 0.5989496 0.47942564 0.7396767 ]<\/code><\/li>\n\n\n\n<li>\u30e1\u30e2\u30ea \u30de\u30c3\u30d7\u30c8 \u30d5\u30a1\u30a4\u30eb\u3092\u9589\u3058\u308b: pythonCopy \u30b3\u30fc\u30c9<code>import numpy as np # \u6253\u5f00\u4e00\u4e2a\u5df2\u7ecf\u5b58\u5728\u7684\u5185\u5b58\u6620\u5c04\u6587\u4ef6 mmap = np.memmap('data.bin', dtype='float32', mode='r+', shape=(10,)) # \u4fee\u6539\u5185\u5b58\u6620\u5c04\u6587\u4ef6\u4e2d\u7684\u6570\u636e mmap[0] = 0.1234 # \u5173\u95ed\u5185\u5b58\u6620\u5c04\u6587\u4ef6 del mmap<\/code><\/li>\n<\/ol>\n\n\n\n<p>\u8981\u7d04\u3059\u308b\u3068\u3001\u30e1\u30e2\u30ea \u30de\u30c3\u30d7\u30c8 \u30d5\u30a1\u30a4\u30eb\u306f\u3001\u7279\u306b\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u304c\u5927\u304d\u3059\u304e\u3066\u30e1\u30e2\u30ea\u306b\u53ce\u307e\u3089\u306a\u3044\u5834\u5408\u306b\u3001\u5927\u304d\u306a\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3092\u8aad\u307f\u66f8\u304d\u3059\u308b\u305f\u3081\u306e\u52b9\u7387\u7684\u306a\u65b9\u6cd5\u3067\u3059\u3002Numpy \u306e\u4f7f\u7528<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u914d\u5217\u306e\u6761\u4ef6\u3068\u8ad6\u7406\u6f14\u7b97\u3092\u8a73\u3057\u304f\u6559\u3048\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<p>Numpy \u3067\u306f\u3001\u914d\u5217\u306b\u5bfe\u3059\u308b\u6761\u4ef6\u4ed8\u304d\u304a\u3088\u3073\u8ad6\u7406\u6f14\u7b97\u3092\u4f7f\u7528\u3057\u3066\u3001\u30d6\u30fc\u30eb\u914d\u5217\u307e\u305f\u306f\u30b9\u30ab\u30e9\u30fc\u3092\u751f\u6210\u3067\u304d\u307e\u3059\u3002\u30d6\u30fc\u30eb\u914d\u5217\u306f\u3001\u914d\u5217\u306e\u30b5\u30d6\u30bb\u30c3\u30c8\u3092\u9078\u629e\u3059\u308b\u305f\u3081\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3068\u3057\u3066\u3088\u304f\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u4ee5\u4e0b\u306f\u3001Numpy \u3067\u306e\u4e00\u822c\u7684\u306a\u6761\u4ef6\u4ed8\u304d\u304a\u3088\u3073\u8ad6\u7406\u6f14\u7b97\u306e\u4e00\u90e8\u3067\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><code>&lt;<\/code>\u914d\u5217\u6bd4\u8f03: \u3001\u3001\u3001\u3001\u3001\u3001\u306a\u3069\u306e\u3055\u307e\u3056\u307e\u306a\u6bd4\u8f03\u6f14\u7b97\u5b50\u3092\u4f7f\u7528\u3057\u3066\u914d\u5217<code>&lt;=<\/code>\u3092\u6bd4\u8f03\u3067\u304d\u307e\u3059\u3002\u6bd4\u8f03\u6f14\u7b97\u5b50\u306f\u3001\u914d\u5217\u8981\u7d20\u3092 1 \u3064\u305a\u3064\u6bd4\u8f03\u3057\u3001\u7d50\u679c\u3068\u3057\u3066\u30d6\u30fc\u30eb\u914d\u5217\u3092\u751f\u6210\u3057\u307e\u3059\u3002\u4f8b: pythonCopy code<code>==<\/code><code>!=<\/code><code>&gt;<\/code><code>&gt;=<\/code><code>import numpy as np a = np.array([1, 2, 3, 4, 5]) b = np.array([5, 4, 3, 2, 1]) print(a &lt; b) # \u8f93\u51fa\uff1a[ True True False False False]<\/code><\/li>\n\n\n\n<li><code>&amp;<\/code>\u8ad6\u7406\u6f14\u7b97: \u3001\u3001\u3001<code>|<\/code>\u306a\u3069\u306e\u3055\u307e\u3056\u307e\u306a\u8ad6\u7406\u6f14\u7b97\u5b50\u3092\u4f7f\u7528\u3057\u3066\u3001\u30d6\u30fc\u30eb\u914d\u5217\u3092\u7d44\u307f\u5408\u308f\u305b\u308b\u3053\u3068\u304c<code>^<\/code>\u3067\u304d\u307e\u3059\u3002<code>~<\/code>\u4f8b: pythonCopy code<code>import numpy as np a = np.array([True, False, True]) b = np.array([False, True, True]) print(a &amp; b) # \u8f93\u51fa\uff1a[False False True] print(a | b) # \u8f93\u51fa\uff1a[ True True True] print(~a) # \u8f93\u51fa\uff1a[False True False]<\/code><\/li>\n\n\n\n<li>\u914d\u5217\u5185\u306e\u8981\u7d20\u306e\u5b58\u5728:<code>numpy.in1d()<\/code>\u3053\u306e\u95a2\u6570\u3002\u4f8b: pythonCopy code<code>import numpy as np a = np.array([1, 2, 3, 4, 5]) b = np.array([3, 4, 5]) print(np.in1d(a, b)) # \u8f93\u51fa\uff1a[False False True True True]<\/code><\/li>\n\n\n\n<li><code>numpy.logical_and()<\/code>\u8ad6\u7406\u6f14\u7b97\u95a2\u6570: Numpy \u306f\u3001<code>numpy.logical_or()<\/code>\u3001\u306a\u3069\u306e\u8ad6\u7406\u6f14\u7b97\u95a2\u6570\u3082\u63d0\u4f9b\u3057\u307e\u3059<code>numpy.logical_not()<\/code>\u3002\u3053\u308c\u3089\u306e\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u30012 \u3064\u4ee5\u4e0a\u306e\u30d6\u30fc\u30eb\u914d\u5217\u306b\u5bfe\u3057\u3066 1 \u3064\u305a\u3064\u64cd\u4f5c\u3092\u5b9f\u884c\u3057\u3001\u7d50\u679c\u3068\u3057\u3066\u65b0\u3057\u3044\u30d6\u30fc\u30eb\u914d\u5217\u3092\u751f\u6210\u3067\u304d\u307e\u3059\u3002\u4f8b: pythonCopy code<code>import numpy as np a = np.array([True, False, True]) b = np.array([False, True, True]) print(np.logical_and(a, b)) # \u8f93\u51fa\uff1a[False False True] print(np.logical_or(a, b)) # \u8f93\u51fa\uff1a[ True True True] print(np.logical_not(a)) # \u8f93\u51fa\uff1a[False True False]<\/code><\/li>\n<\/ol>\n\n\n\n<p>\u8981\u3059\u308b\u306b\u3001\u6761\u4ef6\u4ed8\u304d\u304a\u3088\u3073\u8ad6\u7406\u6f14\u7b97\u306f Numpy \u3067\u975e\u5e38\u306b\u4e00\u822c\u7684\u306a\u6f14\u7b97\u3067\u3042\u308a\u3001\u7279\u5b9a\u306e\u914d\u5217\u8981\u7d20\u3092\u9664\u5916\u3057\u305f\u308a\u3001\u914d\u5217\u306b\u5bfe\u3057\u3066\u8ad6\u7406\u6f14\u7b97\u3092\u5b9f\u884c\u3057\u305f\u308a\u3059\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u64cd\u4f5c\u3092\u30de\u30b9\u30bf\u30fc\u3059\u308b\u3068\u3001Numpy \u914d\u5217\u306e\u64cd\u4f5c\u306b\u7fd2\u719f\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>Numpy\u306e\u5b9f\u6226\u4e8b\u4f8b\u306e\u30c7\u30fc\u30bf\u51e6\u7406\u3068\u89e3\u6790\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u8aac\u660e\u3057\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<p>Numpy \u306f\u3001Python \u3067\u79d1\u5b66\u8a08\u7b97\u3068\u30c7\u30fc\u30bf\u51e6\u7406\u3092\u884c\u3046\u305f\u3081\u306e\u91cd\u8981\u306a\u30c4\u30fc\u30eb\u3067\u3059. \u305d\u306e\u5f37\u529b\u306a\u914d\u5217\u95a2\u6570\u3068\u5e83\u7bc4\u306a\u6570\u5b66\u30e9\u30a4\u30d6\u30e9\u30ea\u306f\u3001\u3055\u307e\u3056\u307e\u306a\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u51e6\u7406\u3068\u5206\u6790\u306b\u5f79\u7acb\u3061\u307e\u3059.&nbsp;\u4ee5\u4e0b\u306f\u3001\u30c7\u30fc\u30bf\u51e6\u7406\u3068\u5206\u6790\u306b Numpy \u3092\u4f7f\u7528\u3059\u308b\u5b9f\u969b\u306e\u30b1\u30fc\u30b9\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u5404\u6708\u306e\u58f2\u4e0a\u3068\u7d4c\u8cbb\u3092\u542b\u3080\u58f2\u4e0a\u30c7\u30fc\u30bf\u3092\u5206\u6790\u3059\u308b\u3068\u3057\u307e\u3059\u3002\u30c7\u30fc\u30bf\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th>\u6708<\/th><th>\u8ca9\u58f2<\/th><th>\u30aa\u30fc\u30d0\u30fc\u30d8\u30c3\u30c9<\/th><\/tr><\/thead><tbody><tr><td>1<\/td><td>10000<\/td><td>5000<\/td><\/tr><tr><td>2<\/td><td>15000<\/td><td>6000<\/td><\/tr><tr><td>3<\/td><td>20000<\/td><td>8000<\/td><\/tr><tr><td>4<\/td><td>25000<\/td><td>9000<\/td><\/tr><tr><td>5<\/td><td>30000<\/td><td>12000<\/td><\/tr><tr><td>6<\/td><td>35000<\/td><td>15000<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u3053\u308c\u3089\u306e\u30c7\u30fc\u30bf\u306f\u3001Numpy \u3092\u4f7f\u7528\u3057\u3066\u7c21\u5358\u306b\u51e6\u7406\u304a\u3088\u3073\u5206\u6790\u3067\u304d\u307e\u3059\u3002\u4ee5\u4e0b\u306f\u5358\u7d14\u306a\u30b1\u30fc\u30b9\u3067\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Numpy \u30e9\u30a4\u30d6\u30e9\u30ea\u3092\u30a4\u30f3\u30dd\u30fc\u30c8\u3057\u307e\u3059: pythonCopy code<code>import numpy as np<\/code><\/li>\n\n\n\n<li>\u58f2\u4e0a\u3068\u7d4c\u8cbb\u3092\u542b\u3080 Numpy \u914d\u5217\u3092\u4f5c\u6210\u3057\u307e\u3059: python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>data = np.array([ [10000, 5000], [15000, 6000], [20000, 8000], [25000, 9000], [30000, 12000], [35000, 15000] ])<\/code><\/li>\n\n\n\n<li>\u5404\u6708\u306e\u5229\u76ca\u3092\u8a08\u7b97\u3059\u308b: python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>profit = data[:, 0] - data[:, 1] print(profit) # \u8f93\u51fa\uff1a[ 5000 9000 12000 16000 18000 20000]<\/code><\/li>\n\n\n\n<li>\u7dcf\u5229\u76ca\u3092\u8a08\u7b97\u3059\u308b: python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>total_profit = np.sum(profit) print(total_profit) # \u8f93\u51fa\uff1a80000<\/code><\/li>\n\n\n\n<li>\u5229\u76ca\u306e\u5e73\u5747\u3001\u5206\u6563\u3001\u6a19\u6e96\u504f\u5dee\u3092\u8a08\u7b97\u3059\u308b: python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>mean_profit = np.mean(profit) var_profit = np.var(profit) std_profit = np.std(profit) print(mean_profit) # \u8f93\u51fa\uff1a11666.666666666666 print(var_profit) # \u8f93\u51fa\uff1a35555555.55555556 print(std_profit) # \u8f93\u51fa\uff1a5961.529705572744<\/code><\/li>\n\n\n\n<li>\u6700\u3082\u53ce\u76ca\u6027\u306e\u9ad8\u3044\u6708\u3068\u6700\u3082\u53ce\u76ca\u6027\u306e\u4f4e\u3044\u6708\u3092\u898b\u3064\u3051\u308b: python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>max_profit_index = np.argmax(profit) min_profit_index = np.argmin(profit) print(f\"\u5229\u6da6\u6700\u9ad8\u7684\u6708\u4efd\u662f {max_profit_index + 1}\uff0c\u5229\u6da6\u4e3a {profit[max_profit_index]}\") # \u8f93\u51fa\uff1a\u5229\u6da6\u6700\u9ad8\u7684\u6708\u4efd\u662f 6\uff0c\u5229\u6da6\u4e3a 20000 print(f\"\u5229\u6da6\u6700\u4f4e\u7684\u6708\u4efd\u662f {min_profit_index + 1}\uff0c\u5229\u6da6\u4e3a {profit[min_profit_index]}\") # \u8f93\u51fa\uff1a\u5229\u6da6\u6700\u4f4e\u7684\u6708\u4efd\u662f 1\uff0c\u5229\u6da6\u4e3a 5000<\/code><\/li>\n\n\n\n<li>\u58f2\u4e0a\u9ad8\u3068\u5229\u76ca\u306e\u6298\u308c\u7dda\u30b0\u30e9\u30d5\u3092\u63cf\u304f: python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>import matplotlib.pyplot as plt x = np.arange(1, 7) fig, ax1 = plt.subplots<\/code><\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u7d9a\u3051\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"7\">\n<li>\u58f2\u4e0a\u9ad8\u3068\u5229\u76ca\u306e\u6298\u308c\u7dda\u30b0\u30e9\u30d5\u3092\u63cf\u304f:&nbsp;<code>import matplotlib.pyplot as plt x = np.arange(1, 7) fig, ax1 = plt.subplots() color = 'tab:red' ax1.set_xlabel('\u6708\u4efd') ax1.set_ylabel('\u9500\u552e\u989d', color=color) ax1.plot(x, data[:, 0], color=color) ax1.tick_params(axis='y', labelcolor=color) ax2 = ax1.twinx() color = 'tab:blue' ax2.set_ylabel('\u5229\u6da6', color=color) ax2.plot(x, profit, color=color) ax2.tick_params(axis='y', labelcolor=color) fig.tight_layout() plt.show()&nbsp;<\/code>pythonCopy \u30b3\u30fc\u30c9\u306b\u3088\u3063\u3066\u51fa\u529b\u3055\u308c\u308b\u6298\u308c\u7dda\u30b0\u30e9\u30d5\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<img decoding=\"async\" src=\"https:\/\/i.imgur.com\/5Wy2Qzo.png\" alt=\"\u6298\u308c\u7dda\u30b0\u30e9\u30d5\"><\/li>\n<\/ol>\n\n\n\n<p>\u3053\u306e\u30b1\u30fc\u30b9\u3092\u901a\u3058\u3066\u3001\u914d\u5217\u306e\u4f5c\u6210\u3001\u6570\u5b66\u7684\u8a08\u7b97\u3001\u7d71\u8a08\u5206\u6790\u3001\u30c7\u30fc\u30bf\u306e\u8996\u899a\u5316\u306a\u3069\u306e\u64cd\u4f5c\u3092\u542b\u3080\u3001Numpy \u3092\u4f7f\u7528\u3057\u305f\u30c7\u30fc\u30bf\u306e\u51e6\u7406\u3068\u5206\u6790\u306e\u65b9\u6cd5\u3092\u5b66\u7fd2\u3067\u304d\u307e\u3059\u3002Numpy \u306f Python \u30c7\u30fc\u30bf \u30b5\u30a4\u30a8\u30f3\u30b9 \u30a8\u30b3\u30b7\u30b9\u30c6\u30e0\u306e\u4e0d\u53ef\u6b20\u306a\u90e8\u5206\u3067\u3042\u308a\u3001\u30c7\u30fc\u30bf\u3092\u3088\u308a\u52b9\u7387\u7684\u306b\u51e6\u7406\u304a\u3088\u3073\u5206\u6790\u3059\u308b\u306e\u306b\u5f79\u7acb\u3064\u5f37\u529b\u306a\u30c4\u30fc\u30eb\u3068\u6a5f\u80fd\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>Numpy\u306e\u5b9f\u6226\u753b\u50cf\u51e6\u7406\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u6559\u3048\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<p>Python \u3067\u306e\u79d1\u5b66\u8a08\u7b97\u3068\u30c7\u30fc\u30bf\u51e6\u7406\u306e\u91cd\u8981\u306a\u30e9\u30a4\u30d6\u30e9\u30ea\u3068\u3057\u3066\u3001Numpy \u306e\u5f37\u529b\u306a\u914d\u5217\u95a2\u6570\u3068\u8c4a\u5bcc\u306a\u6570\u5b66\u30e9\u30a4\u30d6\u30e9\u30ea\u306b\u3088\u308a\u3001Numpy \u306f\u91cd\u8981\u306a\u753b\u50cf\u51e6\u7406\u30c4\u30fc\u30eb\u306b\u3082\u306a\u308a\u307e\u3059\u3002\u4ee5\u4e0b\u306f\u3001Numpy \u3092\u4f7f\u7528\u3057\u305f\u753b\u50cf\u51e6\u7406\u306e\u5b9f\u969b\u306e\u30b1\u30fc\u30b9\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u732b\u306e\u5199\u771f\u304c\u3042\u308a\u3001\u305d\u308c\u3092\u7c21\u5358\u306b\u64cd\u4f5c\u3057\u305f\u3044\u3068\u3057\u307e\u3057\u3087\u3046\u3002\u30b5\u30a4\u30ba\u3092\u7e2e\u5c0f\u3057\u3001\u30b0\u30ec\u30fc\u30b9\u30b1\u30fc\u30eb\u306b\u5909\u63db\u3057\u3001\u30ac\u30a6\u30b9\u307c\u304b\u3057\u52b9\u679c\u3092\u8ffd\u52a0\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Numpy \u304a\u3088\u3073 OpenCV \u30e9\u30a4\u30d6\u30e9\u30ea\u306e\u30a4\u30f3\u30dd\u30fc\u30c8: pythonCopy \u30b3\u30fc\u30c9<code>import cv2 import numpy as np<\/code><\/li>\n\n\n\n<li>\u753b\u50cf\u3092\u8aad\u307f\u8fbc\u307f\u3001\u5143\u306e\u30b5\u30a4\u30ba\u306e\u534a\u5206\u306b\u7e2e\u5c0f\u3057\u307e\u3059: pythonCopy code<code>img = cv2.imread('cat.jpg') img = cv2.resize(img, (0, 0), fx=0.5, fy=0.5)<\/code><\/li>\n\n\n\n<li>\u753b\u50cf\u3092\u30b0\u30ec\u30fc\u30b9\u30b1\u30fc\u30eb\u306b\u5909\u63db\u3059\u308b: python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>gray = cv2.cvtColor(img, cv2.COLOR_BGR2GRAY)<\/code><\/li>\n\n\n\n<li>\u30ac\u30a6\u30b9\u307c\u304b\u3057\u52b9\u679c\u3092\u8ffd\u52a0: python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc<code>blurred = cv2.GaussianBlur(gray, (7, 7), 0)<\/code><\/li>\n\n\n\n<li>\u51e6\u7406\u3055\u308c\u305f\u753b\u50cf\u3092\u8868\u793a\u3059\u308b: python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>cv2.imshow('Processed Image', blurred) cv2.waitKey(0)<\/code><\/li>\n\n\n\n<li>\u51e6\u7406\u3057\u305f\u753b\u50cf\u3092\u30d5\u30a1\u30a4\u30eb\u3068\u3057\u3066\u4fdd\u5b58: pythonCopy code<code>cv2.imwrite('processed_cat.jpg', blurred)<\/code><\/li>\n<\/ol>\n\n\n\n<p>\u3053\u306e\u30b1\u30fc\u30b9\u3092\u901a\u3058\u3066\u3001\u753b\u50cf\u306e\u8aad\u307f\u8fbc\u307f\u3001\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u3001\u30b0\u30ec\u30fc\u30b9\u30b1\u30fc\u30eb\u753b\u50cf\u3078\u306e\u5909\u63db\u3001\u30ac\u30a6\u30b9\u307c\u304b\u3057\u52b9\u679c\u306e\u8ffd\u52a0\u3001\u51e6\u7406\u6e08\u307f\u753b\u50cf\u306e\u4fdd\u5b58\u306a\u3069\u3001\u753b\u50cf\u51e6\u7406\u306b Numpy \u304a\u3088\u3073 OpenCV \u30e9\u30a4\u30d6\u30e9\u30ea\u3092\u4f7f\u7528\u3059\u308b\u65b9\u6cd5\u3092\u5b66\u7fd2\u3067\u304d\u307e\u3059\u3002Numpy \u306e\u5f37\u529b\u306a\u914d\u5217\u6a5f\u80fd\u3068 OpenCV \u30e9\u30a4\u30d6\u30e9\u30ea\u306e\u753b\u50cf\u51e6\u7406\u6a5f\u80fd\u306b\u3088\u308a\u3001Python \u306f\u975e\u5e38\u306b\u5f37\u529b\u306a\u753b\u50cf\u51e6\u7406\u30c4\u30fc\u30eb\u306b\u306a\u308a\u3001\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc \u30d3\u30b8\u30e7\u30f3\u3001\u753b\u50cf\u51e6\u7406\u3001\u6a5f\u68b0\u5b66\u7fd2\u306a\u3069\u306e\u5206\u91ce\u306b\u95a2\u4fc2\u306a\u304f\u3001Python \u306f\u4e0d\u53ef\u6b20\u306a\u30c4\u30fc\u30eb\u3067\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>Numpy\u306e\u5b9f\u4f8b\u6a5f\u68b0\u5b66\u7fd2\u306e\u57fa\u790e\u3092\u8a73\u3057\u304f\u8aac\u660e\u3057\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<p>Numpy \u306f\u3001\u3055\u307e\u3056\u307e\u306a\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u51e6\u7406\u3068\u5206\u6790\u306b\u5f79\u7acb\u3064\u5f37\u529b\u306a\u914d\u5217\u95a2\u6570\u3068\u6570\u5b66\u8a08\u7b97\u30e9\u30a4\u30d6\u30e9\u30ea\u3092\u63d0\u4f9b\u3059\u308b\u305f\u3081\u3001\u6a5f\u68b0\u5b66\u7fd2\u306e\u5206\u91ce\u3067\u975e\u5e38\u306b\u4e00\u822c\u7684\u306b\u4f7f\u7528\u3055\u308c\u308b\u30c4\u30fc\u30eb\u3067\u3059\u3002\u4ee5\u4e0b\u306f\u3001\u6a5f\u68b0\u5b66\u7fd2\u306e\u57fa\u790e\u306b Numpy \u3092\u4f7f\u7528\u3059\u308b\u5b9f\u969b\u7684\u306a\u30b1\u30fc\u30b9\u3067\u3059\u3002<\/p>\n\n\n\n<p>Numpy \u3092\u4f7f\u7528\u3057\u3066\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u69cb\u7bc9\u3057\u3001\u4eba\u306e\u8eab\u9577\u3068\u4f53\u91cd\u306e\u95a2\u4fc2\u3092\u4e88\u6e2c\u3059\u308b\u3068\u3057\u307e\u3059\u3002\u8eab\u9577\u3068\u4f53\u91cd\u306e\u30c7\u30fc\u30bf\u3092\u542b\u3080\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0 \u30bb\u30c3\u30c8\u304c\u65e2\u306b\u3042\u308a\u307e\u3059\u3002\u30c7\u30fc\u30bf\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th>\u9ad8\u3055 (\u30e1\u30fc\u30c8\u30eb)<\/th><th>\u91cd\u91cf (kg)<\/th><\/tr><\/thead><tbody><tr><td>1.60<\/td><td>60<\/td><\/tr><tr><td>1.65<\/td><td>65<\/td><\/tr><tr><td>1.70<\/td><td>68<\/td><\/tr><tr><td>1.75<\/td><td>70<\/td><\/tr><tr><td>1.80<\/td><td>75<\/td><\/tr><tr><td>1.85<\/td><td>80<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u3053\u306e\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u306f\u3001Numpy \u3092\u4f7f\u7528\u3057\u3066\u7c21\u5358\u306b\u69cb\u7bc9\u3067\u304d\u307e\u3059\u3002\u7c21\u5358\u306a\u4f8b\u3092\u6b21\u306b\u793a\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Numpy \u30e9\u30a4\u30d6\u30e9\u30ea\u3092\u30a4\u30f3\u30dd\u30fc\u30c8\u3057\u307e\u3059: pythonCopy code<code>import numpy as np<\/code><\/li>\n\n\n\n<li>\u8eab\u9577\u3068\u4f53\u91cd\u3092\u542b\u3080 Numpy \u914d\u5217\u3092\u4f5c\u6210\u3057\u307e\u3059: pythonCopy code<code>data = np.array([ [1.60, 60], [1.65, 65], [1.70, 68], [1.75, 70], [1.80, 75], [1.85, 80] ])<\/code><\/li>\n\n\n\n<li>\u9ad8\u3055\u3068\u91cd\u3055\u3092\u305d\u308c\u305e\u308c X \u5909\u6570\u3068 y \u5909\u6570\u3068\u3057\u3066\u4fdd\u5b58\u3057\u307e\u3059: pythonCopy code<code>X = data[:, 0] y = data[:, 1]<\/code><\/li>\n\n\n\n<li>X \u3068 y \u306e\u5e73\u5747\u3068\u5206\u6563\u3092\u8a08\u7b97\u3059\u308b: python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>X_mean = np.mean(X) y_mean = np.mean(y) X_std = np.std(X) y_std = np.std(y)<\/code><\/li>\n\n\n\n<li>X \u3068 y \u3092\u6b63\u898f\u5316\u3059\u308b: pythonCopy code<code>X_norm = (X - X_mean) \/ X_std y_norm = (y - y_mean) \/ y_std<\/code><\/li>\n\n\n\n<li>X_norm \u306e\u672b\u5c3e\u306b 1 \u306e\u5217\u3092\u8ffd\u52a0\u3057\u3066\u3001\u8a08\u7b97\u306b\u5207\u7247\u3092\u542b\u3081\u307e\u3059\u3002<code>X_norm = np.c_[X_norm, np.ones(X_norm.shape[0])]<\/code><\/li>\n\n\n\n<li>\u6700\u5c0f\u4e8c\u4e57\u6cd5\u3092\u4f7f\u7528\u3057\u305f\u7dda\u5f62\u56de\u5e30\u306e\u4fc2\u6570\u306e\u8a08\u7b97: python\u30b3\u30fc\u30c9\u306e\u30b3\u30d4\u30fc<code>coef = np.linalg.inv(X_norm.T @ X_norm) @ X_norm.T @ y_norm<\/code><\/li>\n\n\n\n<li>\u7dda\u5f62\u56de\u5e30\u306e\u4fc2\u6570\u3092\u8868\u793a\u3059\u308b: python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>print(coef) # \u8f93\u51fa\uff1a[ 0.99040169 -0.01997317]<\/code><\/li>\n\n\n\n<li>\u65b0\u3057\u3044\u9ad8\u3055\u30c7\u30fc\u30bf\u3092\u4e88\u6e2c\u3059\u308b: python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>new_X = np.array([1.72, 1.90]) new_X_norm = (new_X - X_mean) \/ X_std new_X_norm = np.c_[new_X_norm, np.ones(new_X_norm.shape[0])] pred_y_norm = new_X_norm @ coef pred_y = pred_y_norm * y_std + y_mean<\/code><\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u7d9a\u3051\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"9\">\n<li>\u65b0\u3057\u3044\u9ad8\u3055\u30c7\u30fc\u30bf\u3092\u4e88\u6e2c\u3059\u308b: python\u30b3\u30fc\u30c9\u3092\u30b3\u30d4\u30fc\u3059\u308b<code>new_X = np.array([1.72, 1.90]) new_X_norm = (new_X - X_mean) \/ X_std new_X_norm = np.c_[new_X_norm, np.ones(new_X_norm.shape[0])] pred_y_norm = new_X_norm @ coef pred_y = pred_y_norm * y_std + y_mean print(pred_y) # \u8f93\u51fa\uff1a[67.14898288 84.07659441]<\/code><\/li>\n<\/ol>\n\n\n\n<p>\u3053\u306e\u30b1\u30fc\u30b9\u3092\u901a\u3058\u3066\u3001\u30c7\u30fc\u30bf\u306e\u6a19\u6e96\u5316\u3001\u4fc2\u6570\u306e\u8a08\u7b97\u3001\u65b0\u3057\u3044\u30c7\u30fc\u30bf\u306e\u4e88\u6e2c\u306a\u3069\u3001Numpy \u3092\u4f7f\u7528\u3057\u3066\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u69cb\u7bc9\u3059\u308b\u65b9\u6cd5\u3092\u5b66\u3076\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002Numpy \u306e\u5f37\u529b\u306a\u914d\u5217\u95a2\u6570\u3068\u6570\u5b66\u8a08\u7b97\u30e9\u30a4\u30d6\u30e9\u30ea\u306f\u3001Python \u6a5f\u68b0\u5b66\u7fd2\u30a8\u30b3\u30b7\u30b9\u30c6\u30e0\u306b\u4e0d\u53ef\u6b20\u306a\u8981\u7d20\u3067\u3042\u308a\u3001\u30c7\u30fc\u30bf\u51e6\u7406\u3068\u5206\u6790\u3092\u3088\u308a\u52b9\u7387\u7684\u306b\u5b9f\u884c\u3057\u3001\u3055\u307e\u3056\u307e\u306a\u6a5f\u68b0\u5b66\u7fd2\u30e2\u30c7\u30eb\u3092\u3088\u308a\u7c21\u5358\u306b\u69cb\u7bc9\u304a\u3088\u3073\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u3059\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/edu.ujhb.org\/?p=1865\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>Numpy \u306e\u5b66\u7fd2\u30ea\u30bd\u30fc\u30b9\u3092\u304a\u52e7\u3081\u3057\u3066\u304f\u3060\u3055\u3044<\/p>\n\n\n\n<p>Numpy \u5b66\u7fd2\u30ea\u30bd\u30fc\u30b9\u306e\u63a8\u5968\u4e8b\u9805\u3092\u6b21\u306b\u793a\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u516c\u5f0f\u30c9\u30ad\u30e5\u30e1\u30f3\u30c8: Numpy \u306e\u516c\u5f0f\u30c9\u30ad\u30e5\u30e1\u30f3\u30c8\u306f\u3001\u8a73\u7d30\u306a\u30c9\u30ad\u30e5\u30e1\u30f3\u30c8\u3068\u30b5\u30f3\u30d7\u30eb \u30b3\u30fc\u30c9\u3092\u542b\u3080\u3001Numpy \u3092\u5b66\u7fd2\u3059\u308b\u305f\u3081\u306e\u6700\u3082\u6a29\u5a01\u306e\u3042\u308b\u30ea\u30bd\u30fc\u30b9\u3067\u3059\u3002Numpy \u306e\u3055\u307e\u3056\u307e\u306a\u6a5f\u80fd\u3001\u30e2\u30b8\u30e5\u30fc\u30eb\u3001\u304a\u3088\u3073\u30c4\u30fc\u30eb\u306b\u3064\u3044\u3066\u516c\u5f0f\u30c9\u30ad\u30e5\u30e1\u30f3\u30c8\u3067\u5b66\u7fd2\u3057\u3001\u305d\u308c\u3089\u306e\u4f7f\u7528\u65b9\u6cd5\u3092\u6df1\u304f\u7406\u89e3\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<a href=\"https:\/\/numpy.org\/doc\/stable\/\">\u516c\u5f0f\u6587\u66f8\u30ea\u30f3\u30af<\/a><\/li>\n\n\n\n<li>Numpy \u30e6\u30fc\u30b6\u30fc \u30ac\u30a4\u30c9: Numpy \u30e6\u30fc\u30b6\u30fc \u30ac\u30a4\u30c9\u306f\u3001Numpy \u306e\u57fa\u672c\u7684\u306a\u6982\u5ff5\u3068\u4f7f\u7528\u6cd5\u3092\u8a73\u7d30\u306b\u7d39\u4ecb\u3059\u308b\u975e\u5e38\u306b\u512a\u308c\u305f\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u3059\u3002\u3053\u306e\u30ac\u30a4\u30c9\u306b\u306f\u3001Numpy \u306e\u3055\u307e\u3056\u307e\u306a\u64cd\u4f5c\u3068\u6a5f\u80fd\u3092\u3088\u308a\u3088\u304f\u7406\u89e3\u3059\u308b\u306e\u306b\u5f79\u7acb\u3064\u591a\u304f\u306e\u30b5\u30f3\u30d7\u30eb \u30b3\u30fc\u30c9\u304c\u542b\u307e\u308c\u3066\u3044\u307e\u3059\u3002<a href=\"https:\/\/numpy.org\/doc\/stable\/user\/index.html\">\u30e6\u30fc\u30b6\u30fc\u30ac\u30a4\u30c9\u3078\u306e\u30ea\u30f3\u30af<\/a><\/li>\n\n\n\n<li>Scipy Lecture Notes: Scipy Lecture Notes \u306f\u3001Numpy\u3001Scipy\u3001Matplotlib \u306a\u3069\u306e\u30e9\u30a4\u30d6\u30e9\u30ea\u306e\u4f7f\u7528\u65b9\u6cd5\u3092\u542b\u3080\u5305\u62ec\u7684\u306a\u79d1\u5b66\u8a08\u7b97\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u3059\u3002\u8b1b\u7fa9\u30ce\u30fc\u30c8\u306f\u3001\u7dda\u5f62\u4ee3\u6570\u3001\u6700\u9069\u5316\u3001\u4fe1\u53f7\u51e6\u7406\u306a\u3069\u3001\u79d1\u5b66\u8a08\u7b97\u306e\u3059\u3079\u3066\u306e\u5074\u9762\u3092\u30ab\u30d0\u30fc\u3057\u3066\u304a\u308a\u3001\u79d1\u5b66\u8a08\u7b97\u3068\u30c7\u30fc\u30bf\u5206\u6790\u306e\u5b66\u7fd2\u306b\u975e\u5e38\u306b\u9069\u3057\u3066\u3044\u307e\u3059\u3002<a href=\"https:\/\/scipy-lectures.org\/\">Scipy \u30ec\u30af\u30c1\u30e3\u30fc \u30ea\u30f3\u30af<\/a><\/li>\n\n\n\n<li>Numpy Basic Tutorial Video: \u3053\u308c\u306f Numpy Basic Tutorial \u30d3\u30c7\u30aa\u3067\u3001Numpy \u306e\u57fa\u672c\u6982\u5ff5\u3001\u914d\u5217\u64cd\u4f5c\u3001\u304a\u3088\u3073\u6570\u5b66\u8a08\u7b97\u3092\u30ab\u30d0\u30fc\u3057\u3066\u3044\u307e\u3059\u3002\u3053\u306e\u30d3\u30c7\u30aa\u306f Python \u4e2d\u56fd\u8a9e\u30b3\u30df\u30e5\u30cb\u30c6\u30a3\u306b\u3088\u3063\u3066\u4f5c\u6210\u3055\u308c\u307e\u3057\u305f. \u8aac\u660e\u306f\u975e\u5e38\u306b\u660e\u78ba\u3067\u7406\u89e3\u3057\u3084\u3059\u304f\u3001\u521d\u5fc3\u8005\u306b\u9069\u3057\u3066\u3044\u307e\u3059.&nbsp;<a href=\"https:\/\/www.bilibili.com\/video\/BV1aJ411X7kb\">Numpy \u306e\u57fa\u672c\u7684\u306a\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb \u30d3\u30c7\u30aa \u30ea\u30f3\u30af<\/a><\/li>\n\n\n\n<li>Coursera \u306e\u30c7\u30fc\u30bf \u30b5\u30a4\u30a8\u30f3\u30b9\u5165\u9580\u30b3\u30fc\u30b9: \u3053\u308c\u306f\u30df\u30b7\u30ac\u30f3\u5927\u5b66\u304c\u63d0\u4f9b\u3059\u308b\u7121\u6599\u306e\u30c7\u30fc\u30bf \u30b5\u30a4\u30a8\u30f3\u30b9\u5165\u9580\u30b3\u30fc\u30b9\u3067\u3001Numpy\u3001Pandas\u3001Matplotlib\u3001Scikit-learn \u306a\u3069\u306e\u30e9\u30a4\u30d6\u30e9\u30ea\u306e\u4f7f\u7528\u3092\u30ab\u30d0\u30fc\u3057\u3066\u3044\u307e\u3059\u3002\u3053\u306e\u30b3\u30fc\u30b9\u306b\u306f\u3001\u591a\u304f\u306e\u5b9f\u7528\u7684\u306a\u4f8b\u3068\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u306e\u8ab2\u984c\u304c\u542b\u307e\u308c\u3066\u304a\u308a\u3001\u30c7\u30fc\u30bf \u30b5\u30a4\u30a8\u30f3\u30b9\u3068\u6a5f\u68b0\u5b66\u7fd2\u306e\u5b66\u7fd2\u306b\u6700\u9069\u3067\u3059\u3002<a href=\"https:\/\/www.coursera.org\/learn\/python-data-analysis\">Coursera \u30a4\u30f3\u30c8\u30ed \u30c7\u30fc\u30bf \u30b5\u30a4\u30a8\u30f3\u30b9 \u30b3\u30fc\u30b9 \u30ea\u30f3\u30af<\/a><\/li>\n<\/ol>\n\n\n\n<p>\u4e0a\u8a18\u306e\u5b66\u7fd2\u30ea\u30bd\u30fc\u30b9\u3092\u5b66\u7fd2\u3059\u308b\u3053\u3068\u3067\u3001Numpy \u3092\u4f53\u7cfb\u7684\u306b\u7406\u89e3\u3057\u3066\u5b66\u7fd2\u3057\u3001\u3055\u307e\u3056\u307e\u306a\u64cd\u4f5c\u3084\u6a5f\u80fd\u306e\u4f7f\u7528\u6cd5\u3092\u7fd2\u5f97\u3057\u3066\u3001\u79d1\u5b66\u8a08\u7b97\u3001\u30c7\u30fc\u30bf\u5206\u6790\u3001\u6a5f\u68b0\u5b66\u7fd2\u306a\u3069\u306e\u5206\u91ce\u306b\u5fdc\u7528\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u30a2\u30ec\u30f3\u30b8\u3057\u3066\u3082\u3089\u3048\u307e\u3059\u304b\u3002Numpy \u306e &hellip; <\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"footnotes":""},"categories":[23],"tags":[],"class_list":["post-1954","post","type-post","status-publish","format-standard","hentry","category-material"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/edu.ujhb.org\/index.php?rest_route=\/wp\/v2\/posts\/1954","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/edu.ujhb.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/edu.ujhb.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/edu.ujhb.org\/index.php?rest_route=\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"https:\/\/edu.ujhb.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1954"}],"version-history":[{"count":1,"href":"https:\/\/edu.ujhb.org\/index.php?rest_route=\/wp\/v2\/posts\/1954\/revisions"}],"predecessor-version":[{"id":1956,"href":"https:\/\/edu.ujhb.org\/index.php?rest_route=\/wp\/v2\/posts\/1954\/revisions\/1956"}],"wp:attachment":[{"href":"https:\/\/edu.ujhb.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1954"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/edu.ujhb.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1954"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/edu.ujhb.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1954"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}