{"id":6958,"date":"2024-04-25T03:55:41","date_gmt":"2024-04-25T03:55:41","guid":{"rendered":"https:\/\/science-hub.click\/%E3%83%A9%E3%83%B3%E3%82%AF%E5%AE%9A%E7%90%86%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC\/"},"modified":"2024-04-25T03:55:41","modified_gmt":"2024-04-25T03:55:41","slug":"%E3%83%A9%E3%83%B3%E3%82%AF%E5%AE%9A%E7%90%86%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=6958","title":{"rendered":"\u30e9\u30f3\u30af\u5b9a\u7406\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac"},"content":{"rendered":"<div><div><h2>\u5c0e\u5165<\/h2><p>\u6570\u5b66\u3067\u306f\u3001\u7dda\u5f62\u4ee3\u6570\u306e<b>\u30e9\u30f3\u30af\u5b9a\u7406\u306f\u3001<\/b>\u7dda\u5f62\u30de\u30c3\u30d7\u306e\u30ab\u30fc\u30cd\u30eb\u306e\u30e9\u30f3\u30af\u3068\u6b21\u5143\u3092\u7d50\u3073\u4ed8\u3051\u307e\u3059\u3002 <span><i>E<\/i><\/span>\u3068<span><i>F \u3092<\/i><\/span>\u30d5\u30a3\u30fc\u30eb\u30c9<span><i>K<\/i><\/span>\u4e0a\u306e 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u3068\u3057\u3001 <div class=\"math-formual notranslate\">$$ {f\\in\\mathcal{L}(E,F)} $$<\/div>\u76f4\u7dda\u7684\u306a\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u3002\u305d\u308c\u3067<\/p><dl><dd><div class=\"math-formual notranslate\">$$ {{\\rm rg } f+{\\rm dim Ker }f={\\rm dim }E\\,} $$<\/div> \u3001<\/dd><\/dl><p>\u3053\u3053\u3067\u3001 <span>rg <i>f \u306f<\/i><\/span><span><i>f<\/i><\/span>\u306e\u30a4\u30e1\u30fc\u30b8\u306e<span><a href=\"https:\/\/science-hub.click\/?p=20918\">\u6b21\u5143<\/a><\/span>\u3092\u793a\u3057\u307e\u3059\u3002<\/p><p><span>\u5b9a\u7406\u3092<\/span>\u8a3c\u660e\u3059\u308b\u305f\u3081\u306b\u3001\u4efb\u610f\u306e\u57fa\u5e95\u306b\u3064\u3044\u3066\u305d\u308c\u3092\u78ba\u8a8d\u3057\u307e\u3059<div class=\"math-formual notranslate\">$$ {(u_s)_{s\\in S}} $$<\/div>\u6838\u304a\u3088\u3073\u4efb\u610f\u306e\u5869\u57fa\u306e<div class=\"math-formual notranslate\">$$ {(f(v_t))_{t\\in T}} $$<\/div>\u753b\u50cf\u306e\u3001 <div class=\"math-formual notranslate\">$$ {(u_s)_{s\\in S}\\cup(v_t)_{t\\in T}} $$<\/div> <span><i>E<\/i><\/span>\u306e\u30d9\u30fc\u30b9\u3067\u3059\u3002\u78ba\u304b\u306b\u3001\u3053\u306e\u65cf\u306f\u751f\u6210\u7684\u3067\u3059 (<span><a href=\"https:\/\/science-hub.click\/?p=95765\">\u4efb\u610f\u306e<\/a><\/span><span><a href=\"https:\/\/science-hub.click\/?p=66129\">\u30d9\u30af\u30c8\u30eb<\/a><\/span><i>x<\/i>\u306b\u3064\u3044\u3066\u3001 <i>x <sub>t \u306f<\/sub><\/i>\u753b\u50cf\u306e\u30d9\u30fc\u30b9\u306e<i>f(x)<\/i>\u306e\u5ea7\u6a19\u3067\u3042\u308a\u3001 <i>x <sub>s \u306f<\/sub><\/i>\u753b\u50cf\u306e\u5e95\u90e8\u306e\u5ea7\u6a19\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044)\u3002 <div class=\"math-formual notranslate\">$$ {x-\\sum x_t v_t} $$<\/div>\u53d6\u5f97\u3057\u305f\u30ab\u30fc\u30cd\u30eb\u306e\u57fa\u790e\u3067<div class=\"math-formual notranslate\">$$ {x=\\sum x_s u_s+\\sum x_t v_t} $$<\/div> \uff09\u305d\u3057\u3066\u7121\u6599\uff08\u4eee\u8aac\u306e\u3082\u3068\u3067\u306f<div class=\"math-formual notranslate\">$$ {\\sum a_s u_s+\\sum b_t v_t=0} $$<\/div> <i>f<\/i>\u306b\u3088\u3063\u3066\u753b\u50cf\u3092\u53d6\u5f97\u3059\u308b\u3053\u3068\u3067\u3001 <div class=\"math-formual notranslate\">$$ {0+\\sum b_tf(v_t)=0} $$<\/div>\u3057\u305f\u304c\u3063\u3066\u3001 <i>f(v <sub>t<\/sub> )<\/i>\u306e\u72ec\u7acb\u6027\u306b\u3088\u308a<i>b <sub>t \u306f<\/sub><\/i>\u30bc\u30ed\u3068\u306a\u308a\u3001\u521d\u671f\u4eee\u8aac\u306f\u6b21\u306e\u3088\u3046\u306b\u5358\u7d14\u5316\u3055\u308c\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\sum a_su_s=0} $$<\/div> \u3001\u305d\u3053\u304b\u3089\u3001 <i><sub>us<\/sub><\/i>\u306e\u72ec\u7acb\u6027\u306b\u3088\u308a\u3001 <i>a <sub>s<\/sub><\/i>\u3082\u30bc\u30ed\u3067\u3042\u308b\u3068\u63a8\u5b9a\u3055\u308c\u307e\u3059)\u3002<\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u30e9\u30f3\u30af\u5b9a\u7406\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/gGInbcrcO6I\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2>\u6e96\u540c\u578b\u6027\u306e\u7279\u6b8a\u306a\u30b1\u30fc\u30b9<\/h2><p><span><i>f \u3092<\/i><\/span><span><a href=\"https:\/\/science-hub.click\/?p=5244\">\u30d9\u30af\u30c8\u30eb\u7a7a\u9593<\/a><\/span><span><i>E<\/i><\/span>\u81ea\u4f53\u3078\u306e\u7dda\u5f62\u30de\u30c3\u30d7\u3068\u3059\u308b\u3002\u6b21\u306e\u3088\u3046\u306a\u95a2\u4fc2\u304c\u3042\u308a\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {{\\rm dim Im }f+{\\rm dim Ker }f={\\rm rg}(f)+{\\rm dim Ker }f=\\dim E\\,} $$<\/div> \u3002<\/dd><\/dl><h2>\u305d\u306e\u4ed6\u306e\u5b9a\u5f0f\u5316\u3068\u4e00\u822c\u5316<\/h2><p>\u3053\u306e\u5b9a\u7406\u306f\u3001\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u306e\u5834\u5408\u306e<span><a href=\"https:\/\/science-hub.click\/?p=26454\">\u4ee3\u6570\u5b66<\/a><\/span>\u306e\u7b2c\u4e00\u540c\u578b\u5b9a\u7406\u306e\u4e00\u7a2e\u3067\u3059\u3002<\/p><p>\u3088\u308a\u73fe\u4ee3\u7684\u306a\u8a00\u8449\u3067\u8a00\u3048\u3070\u3001\u5b9a\u7406\u306f\u6b21\u306e\u3088\u3046\u306b\u8a00\u3048\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {0 \\rightarrow D \\rightarrow E \\rightarrow F \\rightarrow 0} $$<\/div><\/dd><\/dl><p>\u306f\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u306e\u77ed\u3044\u6b63\u78ba\u306a\u30b7\u30fc\u30b1\u30f3\u30b9\u3067\u3042\u308b\u5834\u5408\u3001<\/p><dl><dd> <span>dim( <i>D<\/i> ) + dim( <i>F<\/i> ) = dim( <i>E<\/i> )<\/span><\/dd><\/dl><p>\u3053\u3053\u3067\u3001 <span><i>F \u306f<\/i><\/span><span>Im <i>f<\/i><\/span>\u306e\u5f79\u5272<span><a href=\"https:\/\/science-hub.click\/?p=103565\">\u3092\u679c\u305f\u3057<\/a><\/span>\u3001 <span><i>D \u306f<\/i><\/span><span>Ker <i>f<\/i><\/span>\u306e\u5f79\u5272\u3092\u679c\u305f\u3057\u307e\u3059\u3002<\/p><p>\u6709\u9650\u6b21\u5143\u3067\u306f\u3001\u3053\u306e<span><a href=\"https:\/\/science-hub.click\/?p=97003\">\u5b9a\u5f0f\u5316\u306f<\/a><\/span>\u6b21\u306e\u3088\u3046\u306b\u4e00\u822c\u5316\u3067\u304d\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {0 \\rightarrow E_1 \\rightarrow E_2 \\rightarrow \\cdots \\rightarrow E_r \\rightarrow 0 } $$<\/div><\/dd><\/dl><p>\u306f\u6709\u9650\u6b21\u5143\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u306e\u6b63\u78ba\u306a\u30b7\u30fc\u30b1\u30f3\u30b9\u3067\u3042\u308b\u5834\u5408\u3001 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\sum_{i=1}^r (-1)^i\\dim(E_i) = 0.} $$<\/div><\/dd><\/dl><p>\u6709\u9650\u6b21\u5143\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u306e<span><a href=\"https:\/\/science-hub.click\/?p=23588\">\u30e9\u30f3\u30af<\/a><\/span>\u5b9a\u7406\u306f\u3001\u7dda\u5f62\u30de\u30c3\u30d7 \u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u306e\u89b3\u70b9\u304b\u3089\u5b9a\u5f0f\u5316\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002\u7dda\u5f62\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9<div class=\"math-formual notranslate\">$$ {f:E\\rightarrow F} $$<\/div> \u3001\u3053\u3053\u3067<span><i>E<\/i><\/span>\u3068<span><i>F \u306f<\/i><\/span>\u6709\u9650\u6b21\u5143\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u3067\u3042\u308a\u3001\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002<\/p><dl><dd> <span>Index <i>f<\/i> = dim(Ker <i>f<\/i> ) \u2212 dim(Coker <i>f<\/i> )<\/span>\u3053\u3053\u3067\u3001 Coker \u306f<span><i>f<\/i><\/span>\u306e\u30b3\u30fc\u30ab\u30fc\u30cd\u30eb\u3092\u6307\u5b9a\u3057\u307e\u3059\u3002<\/dd><\/dl><p>\u76f4\u89b3\u7684\u306b\u306f\u3001 <span>Ker <i>f \u306f<\/i><\/span>\u65b9\u7a0b\u5f0f<span><i>f<\/i> ( <i>x<\/i> ) = 0<\/span>\u306e\u72ec\u7acb\u89e3<span><i>x<\/i><\/span>\u306e<span><a href=\"https:\/\/science-hub.click\/?p=71097\">\u6570<\/a><\/span>\u3067\u3042\u308a\u3001 <span>dim(Coker <i>f<\/i> ) \u306f<\/span>\u65b9\u7a0b\u5f0f<span><i>f<\/i> ( <i>x<\/i> ) =<\/span>\u3092\u4f5c\u308b\u305f\u3081\u306b<span><i>y<\/i><\/span>\u306e\u4ee3\u308f\u308a\u306b\u7f6e\u304f\u5fc5\u8981\u304c\u3042\u308b\u72ec\u7acb\u5236\u7d04\u306e\u6570\u3067\u3059\u3002<span>\u89e3\u6c7a\u53ef\u80fd\u306a<i>y<\/i><\/span> \u3002\u6709\u9650\u6b21\u5143\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u306e\u30e9\u30f3\u30af\u5b9a\u7406\u306f\u6b21\u306e\u547d\u984c\u3068\u540c\u7b49\u3067\u3059\u3002<\/p><dl><dd><span>\u30a4\u30f3\u30c7\u30c3\u30af\u30b9<i>f<\/i> = dim( <i>E<\/i> ) \u2212 dim( <i>F<\/i> )<\/span><\/dd><\/dl><p> <span><i>f \u3092<\/i><\/span>\u8a73\u3057\u304f\u8abf\u3079\u308b<span><a href=\"https:\/\/science-hub.click\/?p=11724\">\u5fc5\u8981<\/a><\/span>\u304c\u306a\u304f\u3001\u95a2\u4fc2\u3059\u308b\u7a7a\u9593\u304b\u3089\u7dda\u5f62\u30de\u30c3\u30d7<span><i>f<\/i><\/span>\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3092\u7c21\u5358\u306b\u6c7a\u5b9a\u3067\u304d\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u3088\u308a\u6df1\u3044\u7d50\u679c\u3001\u3064\u307e\u308a\u3001\u7279\u5b9a\u306e\u5fae\u5206\u6f14\u7b97\u5b50\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u304c\u95a2\u4fc2\u3059\u308b\u7a7a\u9593\u306e\u5e7e\u4f55<span><a href=\"https:\/\/science-hub.click\/?p=976\">\u5b66\u69cb\u9020<\/a><\/span>\u304b\u3089\u53d6\u5f97\u3067\u304d\u308b\u3068\u8ff0\u3079\u305f<span title=\"\u30a2\u30c6\u30a3\u30e4\u30fb\u30b7\u30f3\u30ac\u30fc\u6307\u6570\u5b9a\u7406 (\u30da\u30fc\u30b8\u304c\u5b58\u5728\u3057\u307e\u305b\u3093)\">\u30a2\u30c6\u30a3\u30e4-\u30b7\u30f3\u30ac\u30fc\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u5b9a\u7406<\/span>\u306b\u3082\u898b\u3089\u308c\u307e\u3059\u3002<\/p><table><tr><th colspan=\"3\"><div><div> <span title=\"\u3053\u306e\u30e2\u30c7\u30eb\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\u3002\">vdm<\/span><span title=\"\u3053\u306e\u30e2\u30c7\u30eb\u306b\u3064\u3044\u3066\u306e\u30c7\u30a3\u30b9\u30ab\u30c3\u30b7\u30e7\u30f3\u3002\">\u200b<\/span> <span title=\"\u3053\u306e\u30c6\u30f3\u30d7\u30ec\u30fc\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059\u3002\u4fdd\u5b58\u3059\u308b\u524d\u306b\u30d7\u30ec\u30d3\u30e5\u30fc\u3057\u3066\u304f\u3060\u3055\u3044\u3002\">\u200b<\/span><\/div><\/div><span>\u4e00\u822c\u7684<span><a href=\"https:\/\/science-hub.click\/?p=107937\">\u306a\u7dda\u5f62\u4ee3\u6570<\/a><\/span><\/span><\/th><\/tr><tr><td colspan=\"3\">\u30d9\u30af\u30c8\u30eb \u2022 \u30b9\u30ab\u30e9\u30fc \u2022 \u7dda\u5f62<span>\u7d50\u5408<\/span>\u2022 \u30d9\u30af\u30c8\u30eb\u7a7a\u9593 \u2022 \u884c\u5217<\/td><\/tr><tr><td>\u30d9\u30af\u30c8\u30eb\u30d5\u30a1\u30df\u30ea\u30fc<\/td><td colspan=\"1\">\u751f\u6210\u65cf \u2022 \u81ea\u7531\u65cf\uff08\u7dda\u5f62\u72ec\u7acb\uff09 \u2022 \u57fa\u5e95 \u2022 \u4e0d\u5b8c\u5168\u57fa\u5e95\u5b9a\u7406 \u2022 \u30e9\u30f3\u30af \u2022<span><a href=\"https:\/\/science-hub.click\/?p=47198\">\u5171\u7dda\u6027<\/a><\/span><\/td><td rowspan=\"6\"><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u6570\u5b66\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/xRZEzA78Qbc\/0.jpg\" style=\"width:100%;\"\/><\/figure><\/td><\/tr><tr><td>\u4e9c\u7a7a\u9593<\/td><td colspan=\"1\">\u30d9\u30af\u30c8\u30eb\u90e8\u5206\u7a7a\u9593 \u2022 \u96c6\u5408\u306e\u548c \u2022 \u76f4\u63a5\u548c \u2022 \u88dc\u52a9\u90e8\u5206\u7a7a\u9593 \u2022 \u6b21\u5143 \u2022 \u4f59\u6b21\u5143 \u2022 \u7dda\u5206 \u2022 \u5e73\u9762 \u2022<span><a href=\"https:\/\/science-hub.click\/?p=80857\">\u8d85\u5e73\u9762<\/a><\/span><\/td><\/tr><tr><td>\u5f62\u614b\u8ad6\u3068\u95a2\u9023\u3059\u308b\u6982\u5ff5<\/td><td colspan=\"1\">\u7dda\u5f62\u5fdc\u7528 \u2022 \u30ab\u30fc\u30cd\u30eb \u2022 \u30b3\u30fc\u30ab\u30fc\u30cd\u30eb \u2022 \u30ab\u30fc\u30cd\u30eb\u88dc\u984c \u2022 \u64ec\u4f3c\u9006\u884c\u5217 \u2022 \u56e0\u6570\u5206\u89e3\u5b9a\u7406 \u2022<strong>\u30e9\u30f3\u30af\u5b9a\u7406<\/strong>\u2022 \u7dda\u5f62<span><a href=\"https:\/\/science-hub.click\/?p=66517\">\u65b9\u7a0b\u5f0f<\/a><\/span>\u2022 \u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f \u2022 \u30ac\u30a6\u30b9\u30fb\u30b8\u30e7\u30eb\u30c0\u30f3\u6d88\u53bb\u6cd5 \u2022 \u7dda\u5f62\u5f62\u5f0f \u2022 \u53cc\u5bfe\u7a7a\u9593 \u2022 \u76f4\u4ea4\u6027 \u2022 \u53cc\u5bfe\u57fa\u5e95 \u2022 \u5185\u90e8\u540c\u578b\u7dda\u5f62 \u2022<span>\u56fa\u6709\u5024<\/span>\u3001<span>\u56fa\u6709\u30d9\u30af\u30c8\u30eb<\/span>\u3068\u56fa\u6709\u7a7a\u9593 \u2022 \u30b9\u30da\u30af\u30c8\u30eb \u2022 \u30d7\u30ed\u30b8\u30a7\u30af\u30bf\u30fc \u2022 \u5bfe\u79f0\u6027 \u2022 \u5bfe\u89d2\u5316\u53ef\u80fd\u884c\u5217 \u2022 \u5bfe\u89d2\u5316 \u2022<span><a href=\"https:\/\/science-hub.click\/?p=98335\">\u51aa\u80fd\u540c\u578b\u6027<\/a><\/span><\/td><\/tr><tr><td>\u4ed5\u4e0a\u304c\u308a\u5bf8\u6cd5\u3067<\/td><td colspan=\"1\">\u6709\u9650\u6b21\u5143\u30d9\u30af\u30c8\u30eb\u7a7a\u9593 \u2022 \u30c8\u30ec\u30fc\u30b9 \u2022 \u884c\u5217\u5f0f \u2022 \u56fa\u6709<span><a href=\"https:\/\/science-hub.click\/?p=35323\">\u591a\u9805\u5f0f<\/a><\/span>\u2022 \u5185\u90e8\u540c\u578b\u591a\u9805\u5f0f \u2022 \u30b1\u30a4\u30ea\u30fc\u30fb\u30cf\u30df\u30eb\u30c8\u30f3\u306e\u5b9a\u7406 \u2022 \u5185\u90e8\u540c\u578b\u306e<span><a href=\"https:\/\/science-hub.click\/?p=59029\">\u6700\u5c0f\u591a\u9805\u5f0f<\/a><\/span>\u2022 \u76f8\u4f3c\u4e0d\u5909\u91cf \u2022 \u5185\u90e8\u540c\u578b\u7e2e\u7d04 \u2022 \u30b8\u30e7\u30eb\u30c0\u30f3\u9084\u5143 \u2022 \u30c0\u30f3\u30d5\u30a9\u30fc\u30c9<span><a href=\"https:\/\/science-hub.click\/?p=4434\">\u5206\u89e3<\/a><\/span>\u2022<span><a href=\"https:\/\/science-hub.click\/?p=7834\">\u30d5\u30ed\u30d9\u30cb\u30a6\u30b9\u306e\u5206\u89e3<\/a><\/span><\/td><\/tr><tr><td>\u69cb\u9020\u306e\u5f37\u5316<\/td><td colspan=\"1\">\u30ce\u30eb\u30e0 \u2022 \u30c9\u30c3\u30c8\u7a4d \u2022 \u4e8c\u6b21\u5f62\u5f0f \u2022 \u4f4d\u76f8\u30d9\u30af\u30c8\u30eb\u7a7a\u9593 \u2022 \u65b9\u5411\u6027 \u2022 \u4f53\u4e0a\u306e\u4ee3\u6570 \u2022 \u30ea\u30fc\u4ee3\u6570 \u2022<span><a href=\"https:\/\/science-hub.click\/?p=63565\">\u5fae\u5206<\/a><\/span>\u8907\u7d20\u6570<\/td><\/tr><tr><td>\u958b\u767a\u72b6\u6cc1<\/td><td colspan=\"1\">\u884c\u5217<span><a href=\"https:\/\/science-hub.click\/?p=11998\">\u7406\u8ad6<\/a><\/span>\u2022 \u7fa4\u8868\u73fe \u2022 \u95a2\u6570\u89e3\u6790 \u2022 \u591a\u7dda\u5f62\u4ee3\u6570 \u2022 \u74b0\u4e0a\u306e\u4fc2\u6570<\/td><\/tr><\/table><\/div><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u30e9\u30f3\u30af\u5b9a\u7406\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/1LtvXLEf33g\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2 class=\"ref_link\">\u53c2\u8003\u8cc7\u6599<\/h2><ol><li><a class=\"notranslate\" href=\"https:\/\/cs.wikipedia.org\/wiki\/V%C4%9Bta_o_dimenz%C3%ADch_j%C3%A1dra_a_obrazu\">V\u011bta o dimenz\u00edch j\u00e1dra a obrazu \u2013 tch\u00e8que<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/de.wikipedia.org\/wiki\/Rangsatz\">Rangsatz \u2013 allemand<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/en.wikipedia.org\/wiki\/Rank%E2%80%93nullity_theorem\">Rank\u2013nullity theorem \u2013 anglais<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/es.wikipedia.org\/wiki\/Teorema_rango-nulidad\">Teorema rango-nulidad \u2013 espagnol<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/he.wikipedia.org\/wiki\/%D7%9E%D7%A9%D7%A4%D7%98_%D7%94%D7%9E%D7%9E%D7%93%D7%99%D7%9D_%D7%A2%D7%91%D7%95%D7%A8_%D7%94%D7%A2%D7%AA%D7%A7%D7%95%D7%AA_%D7%9C%D7%99%D7%A0%D7%99%D7%90%D7%A8%D7%99%D7%95%D7%AA\">\u05de\u05e9\u05e4\u05d8 \u05d4\u05de\u05de\u05d3\u05d9\u05dd \u05e2\u05d1\u05d5\u05e8 \u05d4\u05e2\u05ea\u05e7\u05d5\u05ea \u05dc\u05d9\u05e0\u05d9\u05d0\u05e8\u05d9\u05d5\u05ea \u2013 h\u00e9breu<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/hu.wikipedia.org\/wiki\/Dimenzi%C3%B3t%C3%A9tel\">Dimenzi\u00f3t\u00e9tel \u2013 hongrois<\/a><\/li><\/ol><\/div>\n<div class=\"feature-video\">\n <h2>\n  \u30e9\u30f3\u30af\u5b9a\u7406\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n <div class=\"video-item\">\n  \n  <figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\">\n   <div class=\"wp-block-embed__wrapper\">\n    <iframe loading=\"lazy\" title=\"\u3010\u88cf\u6280\u3011\u4e09\u5e73\u65b9\u306e\u5b9a\u7406\u306e\u6642\u77ed\u30c6\u30af\u30cb\u30c3\u30af\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/JeSy8jH4Bfk?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n   <\/div>\n  <\/figure>\n  \n <\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5c0e\u5165 \u6570\u5b66\u3067\u306f\u3001\u7dda\u5f62\u4ee3\u6570\u306e\u30e9\u30f3\u30af\u5b9a\u7406\u306f\u3001\u7dda\u5f62\u30de\u30c3\u30d7\u306e\u30ab\u30fc\u30cd\u30eb\u306e\u30e9\u30f3\u30af\u3068\u6b21\u5143\u3092\u7d50\u3073\u4ed8\u3051\u307e\u3059\u3002 E\u3068F \u3092\u30d5\u30a3\u30fc\u30eb\u30c9K\u4e0a\u306e 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u3068\u3057\u3001 $$ {f\\in\\mathcal{L}(E,F)} $$ \u76f4\u7dda\u7684\u306a\u30a2\u30d7\u30ea [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":6959,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img.youtube.com\/vi\/cabkygVxcMw\/0.jpg","fifu_image_alt":"\u30e9\u30f3\u30af\u5b9a\u7406\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac","footnotes":""},"categories":[5],"tags":[11,13,10,14,8311,8310,12,570,8,16,15,9],"class_list":["post-6958","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dictionary","tag-techniques","tag-technologie","tag-actualite","tag-news","tag-rang","tag-theoreme-du-rang","tag-dossier","tag-theoreme","tag-definition","tag-sciences","tag-article","tag-explications"],"_links":{"self":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/6958"}],"collection":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=6958"}],"version-history":[{"count":0,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/6958\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/media\/6959"}],"wp:attachment":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6958"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6958"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6958"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}