{"id":28127,"date":"2021-04-08T13:00:50","date_gmt":"2021-04-08T13:00:50","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=28127"},"modified":"2024-08-22T08:19:25","modified_gmt":"2024-08-22T08:19:25","slug":"%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%84%e5%ae%8c%e5%a4%87%e6%80%a7%e5%92%8c%e5%8f%af%e9%9d%a0%e6%80%a7","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/zh\/%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%84%e5%ae%8c%e5%a4%87%e6%80%a7%e5%92%8c%e5%8f%af%e9%9d%a0%e6%80%a7\/","title":{"rendered":"\u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<center><\/p>\n<h1>\u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027<\/h1>\n<p><\/p>\n<p style=\"text-align:center;\"><strong>\u6458\u8981<\/strong><br \/><em>\u672c\u8bfe\u7a0b\u63a2\u8ba8\u4e86\u547d\u9898\u903b\u8f91\u4e2d\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u5c3d\u7ba1\u547d\u9898\u903b\u8f91\u4e2d\u7684\u63a8\u7406\u6280\u5de7\u548c\u8bed\u4e49\u5b66\u5df2\u88ab\u5e7f\u6cdb\u8ba8\u8bba\uff0c\u4f46\u5f88\u5c11\u5173\u6ce8\u8fd9\u4e24\u4e2a\u65b9\u9762\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u53ef\u9760\u6027\u6307\u7684\u662f\u4e00\u4e2a\u903b\u8f91\u7cfb\u7edf\u7684\u5c5e\u6027\uff0c\u5373\u5f53\u8868\u8fbe\u5f0f G \u53ef\u4ee5\u4ece\u4e00\u7ec4\u8868\u8fbe\u5f0f \u0393 \u63a8\u5bfc\u51fa\u65f6\uff0cG \u4f5c\u4e3a \u0393 \u7684\u8bed\u4e49\u7ed3\u679c\u662f\u53ef\u9760\u7684\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u5b8c\u5907\u6027\u6307\u7684\u662f\u4e00\u4e2a\u903b\u8f91\u7cfb\u7edf\u7684\u5c5e\u6027\uff0c\u5373\u5982\u679c G \u662f\u4e00\u7ec4\u8868\u8fbe\u5f0f \u0393 \u7684\u8bed\u4e49\u7ed3\u679c\uff0c\u90a3\u4e48\u5b58\u5728\u4e00\u4e2a\u5305\u542b \u0393 \u4f5c\u4e3a\u524d\u63d0\u7684\u5f62\u5f0f\u8bc1\u660e\uff0c\u901a\u8fc7\u8be5\u8bc1\u660e\u53ef\u4ee5\u63a8\u5bfc\u51fa G\u3002\u8bc1\u660e\u4e86\u547d\u9898\u903b\u8f91\u662f\u53ef\u9760\u4e14\u5b8c\u5907\u7684\uff0c\u5e76\u8be6\u7ec6\u89e3\u91ca\u4e86\u6bcf\u4e2a\u5c5e\u6027\u3002\u7279\u522b\u5730\uff0c\u5c55\u793a\u4e86\u53ef\u9760\u6027\u662f\u5982\u4f55\u4ece\u547d\u9898\u903b\u8f91\u7684\u63a8\u7406\u7cfb\u7edf\u7684\u6784\u6210\u4e2d\u5f97\u51fa\u7684\uff0c\u4ee5\u53ca\u5b8c\u5907\u6027\u662f\u5982\u4f55\u4ee5\u4e00\u79cd\u7b80\u5355\u7684\u65b9\u5f0f\u63a8\u5bfc\u51fa\u6765\u7684\u3002\u8fd9\u4e00\u5206\u6790\u5bf9\u4e8e\u7406\u89e3\u547d\u9898\u903b\u8f91\u7684\u8fd0\u4f5c\u65b9\u5f0f\u4ee5\u53ca\u5728\u4e0d\u540c\u77e5\u8bc6\u9886\u57df\u7684\u6709\u6548\u5e94\u7528\u5177\u6709\u91cd\u8981\u610f\u4e49\u3002<\/em><\/p>\n<p><\/center><br \/>\n<\/p>\n<p style=\"text-align:center;\"><strong>\u5b66\u4e60\u76ee\u6807\uff1a<\/strong><br \/>\n\u5b8c\u6210\u672c\u8bfe\u7a0b\u540e\uff0c\u5b66\u751f\u5c06\u80fd\u591f\uff1a\n<\/p>\n<ol>\n<li><strong>\u533a\u5206<\/strong>\u903b\u8f91\u7cfb\u7edf\u4e2d\u7684\u53ef\u9760\u6027\u548c\u5b8c\u5907\u6027\u3002<\/li>\n<li><strong>\u5e94\u7528<\/strong>\u0141ukasiewicz \u516c\u7406\u7684\u771f\u503c\u8868\u6765\u8bc1\u660e\u547d\u9898\u903b\u8f91\u7684\u53ef\u9760\u6027\u3002<\/li>\n<li><strong>\u89e3\u91ca<\/strong>\u5982\u4f55\u4f7f\u7528\u63a8\u7406\u5b9a\u7406\u7684\u8bed\u4e49\u7248\u672c\u91cd\u5199\u6f14\u7ece\u63a8\u7406\u3002<\/li>\n<li><strong>\u7406\u89e3<\/strong>\u53ef\u9760\u6027\u548c\u5b8c\u5907\u6027\u662f\u76f8\u4e92\u5173\u8054\u7684\uff0c\u53ef\u4ee5\u76f8\u4e92\u63a8\u5bfc\u3002<\/li>\n<li><strong>\u5206\u6790<\/strong>\u903b\u8f91\u547d\u9898\u4e2d\u7684\u91cd\u8a00\u5f0f\u6982\u5ff5\u53ca\u5176\u4e0e\u5b9a\u7406\u7684\u5173\u7cfb\u3002<\/li>\n<\/ol>\n<p style=\"text-align:center;\"><strong>\u76ee\u5f55<\/strong><br \/>\n<a href=\"#1\">\u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027<\/a><br \/>\n<a href=\"#2\">\u547d\u9898\u903b\u8f91\u7684\u53ef\u9760\u6027<\/a><br \/>\n<a href=\"#3\">\u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027<\/a><br \/>\n<center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/dGrwsPMHa90\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center>\n<\/div>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=dGrwsPMHa90&amp;t=181s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u5728\u8fd9\u4e00\u70b9\u4e0a\uff0c\u6211\u4eec\u8be5\u8c08\u8c08\u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027\u4e86\u3002<\/span><\/strong><\/a> \u8fc4\u4eca\u4e3a\u6b62\uff0c\u5df2\u7ecf\u8ba8\u8bba\u4e86\u5f88\u591a\u5173\u4e8e\u547d\u9898\u903b\u8f91\u7684\u63a8\u7406\u6280\u5de7\u548c\u8bed\u4e49\u5b66\u7684\u5185\u5bb9\uff0c\u4f46\u8fd9\u4e9b\u5185\u5bb9\u603b\u662f\u4ee5\u4e00\u79cd\u65b9\u5f0f\u5448\u73b0\u51fa\u6765\uff0c\u4f3c\u4e4e\u5b83\u4eec\u662f\u5b8c\u5168\u72ec\u7acb\u7684\u4e24\u4e2a\u65b9\u9762\uff0c\u6ca1\u6709\u4efb\u4f55\u8054\u7cfb\u3002\u5b9e\u9645\u60c5\u51b5\u5219\u5b8c\u5168\u76f8\u53cd\u3002<\/p>\n<table>\n<tbody>\n<tr>\n<td>\n<p style=\"text-align: justify; color: #000000;\"><strong>\u53ef\u9760\u6027\uff1a<\/strong>\u4e00\u65b9\u9762\uff0c\u5f53\u8868\u8fbe\u5f0f G \u53ef\u4ee5\u4ece\u4e00\u7ec4\u8868\u8fbe\u5f0f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Gamma<\/span><\/span> \u63a8\u5bfc\u51fa\u65f6\uff0c\u903b\u8f91\u7cfb\u7edf\u662f\u53ef\u9760\u7684\uff0c\u56e0\u6b64 G \u662f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Gamma<\/span><\/span> \u7684\uff08\u8bed\u4e49\uff09\u7ed3\u679c\u3002<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p style=\"text-align: justify; color: #000000;\"><strong>\u5b8c\u5907\u6027\uff1a<\/strong>\u53e6\u4e00\u65b9\u9762\uff0c\u5982\u679c G \u662f\u4e00\u7ec4\u8868\u8fbe\u5f0f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Gamma<\/span><\/span> \u7684\u8bed\u4e49\u7ed3\u679c\uff0c\u90a3\u4e48\u5b58\u5728\u4e00\u4e2a\u5305\u542b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Gamma<\/span><\/span> \u4f5c\u4e3a\u524d\u63d0\u7684\u5f62\u5f0f\u8bc1\u660e\uff0c\u901a\u8fc7\u8be5\u8bc1\u660e\u53ef\u4ee5\u63a8\u5bfc\u51fa G\u3002<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-VKgbesdSWbQ\/YG6s7C9kkdI\/AAAAAAAAE2g\/K5hUDwI6KkAs5FNmmkTZ1RRV_LqV_kxlQCLcBGAsYHQ\/s0\/completitud%2By%2Bsolvencia.PNG\" alt=\"\u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027\" class=\"aligncenter lazyload\" width=\"285\" height=\"220\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-VKgbesdSWbQ\/YG6s7C9kkdI\/AAAAAAAAE2g\/K5hUDwI6KkAs5FNmmkTZ1RRV_LqV_kxlQCLcBGAsYHQ\/s0\/completitud%2By%2Bsolvencia.PNG\" alt=\"\u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027\" class=\"aligncenter lazyload\" width=\"285\" height=\"220\" \/><\/noscript><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u901a\u8fc7\u56de\u987e\u8fd9\u4e9b\u89c2\u70b9\uff0c\u6211\u4eec\u4f1a\u53d1\u73b0\u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027\u5f97\u5230\u4e86\u6ee1\u8db3\u3002<\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2>\u547d\u9898\u903b\u8f91\u7684\u53ef\u9760\u6027<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=dGrwsPMHa90&amp;t=292s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u901a\u8fc7\u89c2\u5bdf\u5176\u63a8\u7406\u7cfb\u7edf\u7684\u6784\u6210\uff0c\u53ef\u4ee5\u8f7b\u677e\u83b7\u5f97\u547d\u9898\u903b\u8f91\u7684\u53ef\u9760\u6027<\/span><\/strong><\/a>\u3002\u5982\u679c\u6211\u4eec\u4e3a \u0141ukasiewicz \u516c\u7406\u5236\u4f5c\u771f\u503c\u8868\uff0c\u6211\u4eec\u4f1a\u770b\u5230\u5b83\u4eec\u5177\u6709\u8fd9\u6837\u4e00\u79cd\u7ed3\u6784\uff0c\u5373\u5b83\u4eec\u7684\u771f\u503c\u59cb\u7ec8\u4e3a\u771f\uff0c\u5373\uff1a<\/p>\n<table style=\"text-align: justify; color: #000000;\">\n<tbody>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\models (\\alpha \\rightarrow (\\beta \\rightarrow \\alpha))<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\models ((\\alpha \\rightarrow (\\beta \\rightarrow \\gamma))\\rightarrow ((\\alpha \\rightarrow \\beta) \\rightarrow (\\alpha \\rightarrow \\gamma)))<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\models ((\\neg\\beta \\rightarrow \\neg\\alpha)\\rightarrow(\\alpha \\rightarrow \\beta))<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\">\u540c\u6837\uff0c\u6f14\u7ece\u63a8\u7406\u53ef\u4ee5\u91cd\u5199\u4e3a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{\\alpha,(\\alpha\\rightarrow \\beta)\\}\\models \\beta.<\/span><\/span>\uff0c\u8fd9\u53ef\u4ee5\u4f7f\u7528\u63a8\u7406\u5b9a\u7406\u7684\u8bed\u4e49\u7248\u672c\u83b7\u5f97\u3002\u4e8b\u5b9e\u4e0a\uff0c\u901a\u8fc7\u8fd9\u79cd\u65b9\u5f0f\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u5230 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{(\\alpha\\rightarrow \\beta)\\}\\models (\\alpha\\rightarrow \\beta),<\/span><\/span>\uff0c\u7136\u540e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\models ((\\alpha\\rightarrow \\beta)\\rightarrow (\\alpha\\rightarrow \\beta)),<\/span><\/span>\uff0c\u8fd9\u663e\u7136\u662f\u4e00\u79cd\u975e\u5e38\u660e\u663e\u7684\u91cd\u8a00\u5f0f\u3002<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h2>\u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=dGrwsPMHa90&amp;t=487s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u544a\u8bc9\u6211\u4eec\uff0c<\/span><\/strong><\/a> \u5982\u679c B \u662f A \u7684\u8bed\u4e49\u7ed3\u679c\uff0c\u90a3\u4e48 B \u662f\u4ece A \u63a8\u5bfc\u51fa\u6765\u7684\u3002\u6362\u53e5\u8bdd\u8bf4\uff1a\u6240\u6709\u7684\u771f\u8868\u8fbe\u5f0f\u90fd\u6709\u4e00\u4e2a\u8bc1\u660e\u3002\u8fd9\u5c31\u662f\u6211\u4eec\u6240\u8bf4\u7684\u5b8c\u5907\u6027\u3002\u53ef\u4ee5\u901a\u8fc7\u4e00\u79cd\u7b80\u5355\u7684\u65b9\u5f0f\u63a8\u5bfc\u51fa\u8fd9\u4e00\u70b9\u3002<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u53ef\u4ee5\u901a\u8fc7\u4e00\u79cd\u7b80\u5355\u7684\u65b9\u5f0f\u63a8\u5bfc\u51fa\u8fd9\u4e00\u70b9\u3002\u5047\u8bbe B \u4e0d\u80fd\u4ece A \u63a8\u5bfc\u51fa\u6765\uff0c\u6216\u8005\u66f4\u51c6\u786e\u5730\u8bf4 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\neg(A\\vdash B)<\/span><\/span>\uff0c\u6839\u636e\u63a8\u7406\u5b9a\u7406\uff0c\u8fd9\u76f8\u5f53\u4e8e\u8bf4\uff1a<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\neg (\\vdash A\\rightarrow B)<\/span><\/span>\uff1b\u73b0\u5728\uff0c\u5982\u679c\u6211\u4eec\u6c42\u52a9\u4e8e\u53ef\u9760\u6027\uff0c\u8fd9\u5c31\u5bfc\u81f4 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\neg(\\models A \\rightarrow B)<\/span><\/span>\uff0c\u6839\u636e\u63a8\u7406\u5b9a\u7406\uff08\u8bed\u4e49\u7248\u672c\uff09\u7684\u9006\u5b9a\u7406\uff0c\u8fd9\u76f8\u5f53\u4e8e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\neg(A\\models B)<\/span><\/span>\u3002\u603b\u4e4b\uff0c\u6211\u4eec\u5f97\u5230\u7684\u662f\uff1a<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\neg(A\\vdash B) \\Rightarrow \\neg(A\\models B) <\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u8fd9\u76f8\u5f53\u4e8e\u8bf4<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(A\\models B) \\Rightarrow (A\\vdash B) <\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u8fd9\u610f\u5473\u7740\uff0c\u5982\u679c A \u6a21\u578b B\uff0c\u90a3\u4e48 B \u662f\u4ece A \u63a8\u5bfc\u51fa\u6765\u7684\u3002\u5982\u679c\u6211\u4eec\u4f7f\u7528\u76f8\u5e94\u7684\u63a8\u7406\u5b9a\u7406\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u5230<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\models A\\rightarrow B) \\Rightarrow (\\vdash A \\rightarrow B) <\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u6362\u53e5\u8bdd\u8bf4\uff1a\u5982\u679c\u4e00\u4e2a\u8868\u8fbe\u5f0f\u662f\u91cd\u8a00\u5f0f\uff0c\u90a3\u4e48\u5b83\u5c31\u662f\u4e00\u4e2a\u5b9a\u7406\uff1b\u6b63\u5982\u6211\u4eec\u6240\u89c1\uff0c\u5b9a\u7406\u662f\u8bc1\u660e\u7684\u7ed3\u679c\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027 \u6458\u8981\u672c\u8bfe\u7a0b\u63a2\u8ba8\u4e86\u547d\u9898\u903b\u8f91\u4e2d\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u5c3d\u7ba1\u547d\u9898\u903b\u8f91\u4e2d\u7684\u63a8\u7406\u6280\u5de7\u548c\u8bed\u4e49\u5b66\u5df2\u88ab\u5e7f\u6cdb\u8ba8\u8bba\uff0c\u4f46\u5f88\u5c11\u5173\u6ce8\u8fd9\u4e24\u4e2a\u65b9\u9762\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u53ef\u9760\u6027\u6307\u7684\u662f\u4e00\u4e2a\u903b\u8f91\u7cfb\u7edf\u7684\u5c5e\u6027\uff0c\u5373\u5f53\u8868\u8fbe\u5f0f G \u53ef\u4ee5\u4ece\u4e00\u7ec4\u8868\u8fbe\u5f0f \u0393 \u63a8\u5bfc\u51fa\u65f6\uff0cG \u4f5c\u4e3a \u0393 \u7684\u8bed\u4e49\u7ed3\u679c\u662f\u53ef\u9760\u7684\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u5b8c\u5907\u6027\u6307\u7684\u662f\u4e00\u4e2a\u903b\u8f91\u7cfb\u7edf\u7684\u5c5e\u6027\uff0c\u5373\u5982\u679c G \u662f\u4e00\u7ec4\u8868\u8fbe\u5f0f \u0393 \u7684\u8bed\u4e49\u7ed3\u679c\uff0c\u90a3\u4e48\u5b58\u5728\u4e00\u4e2a\u5305\u542b \u0393 \u4f5c\u4e3a\u524d\u63d0\u7684\u5f62\u5f0f\u8bc1\u660e\uff0c\u901a\u8fc7\u8be5\u8bc1\u660e\u53ef\u4ee5\u63a8\u5bfc\u51fa G\u3002\u8bc1\u660e\u4e86\u547d\u9898\u903b\u8f91\u662f\u53ef\u9760\u4e14\u5b8c\u5907\u7684\uff0c\u5e76\u8be6\u7ec6\u89e3\u91ca\u4e86\u6bcf\u4e2a\u5c5e\u6027\u3002\u7279\u522b\u5730\uff0c\u5c55\u793a\u4e86\u53ef\u9760\u6027\u662f\u5982\u4f55\u4ece\u547d\u9898\u903b\u8f91\u7684\u63a8\u7406\u7cfb\u7edf\u7684\u6784\u6210\u4e2d\u5f97\u51fa\u7684\uff0c\u4ee5\u53ca\u5b8c\u5907\u6027\u662f\u5982\u4f55\u4ee5\u4e00\u79cd\u7b80\u5355\u7684\u65b9\u5f0f\u63a8\u5bfc\u51fa\u6765\u7684\u3002\u8fd9\u4e00\u5206\u6790\u5bf9\u4e8e\u7406\u89e3\u547d\u9898\u903b\u8f91\u7684\u8fd0\u4f5c\u65b9\u5f0f\u4ee5\u53ca\u5728\u4e0d\u540c\u77e5\u8bc6\u9886\u57df\u7684\u6709\u6548\u5e94\u7528\u5177\u6709\u91cd\u8981\u610f\u4e49\u3002 \u5b66\u4e60\u76ee\u6807\uff1a \u5b8c\u6210\u672c\u8bfe\u7a0b\u540e\uff0c\u5b66\u751f\u5c06\u80fd\u591f\uff1a \u533a\u5206\u903b\u8f91\u7cfb\u7edf\u4e2d\u7684\u53ef\u9760\u6027\u548c\u5b8c\u5907\u6027\u3002 \u5e94\u7528\u0141ukasiewicz \u516c\u7406\u7684\u771f\u503c\u8868\u6765\u8bc1\u660e\u547d\u9898\u903b\u8f91\u7684\u53ef\u9760\u6027\u3002 \u89e3\u91ca\u5982\u4f55\u4f7f\u7528\u63a8\u7406\u5b9a\u7406\u7684\u8bed\u4e49\u7248\u672c\u91cd\u5199\u6f14\u7ece\u63a8\u7406\u3002 \u7406\u89e3\u53ef\u9760\u6027\u548c\u5b8c\u5907\u6027\u662f\u76f8\u4e92\u5173\u8054\u7684\uff0c\u53ef\u4ee5\u76f8\u4e92\u63a8\u5bfc\u3002 \u5206\u6790\u903b\u8f91\u547d\u9898\u4e2d\u7684\u91cd\u8a00\u5f0f\u6982\u5ff5\u53ca\u5176\u4e0e\u5b9a\u7406\u7684\u5173\u7cfb\u3002 \u76ee\u5f55 \u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027 \u547d\u9898\u903b\u8f91\u7684\u53ef\u9760\u6027 \u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027 \u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027 \u5728\u8fd9\u4e00\u70b9\u4e0a\uff0c\u6211\u4eec\u8be5\u8c08\u8c08\u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027\u4e86\u3002 \u8fc4\u4eca\u4e3a\u6b62\uff0c\u5df2\u7ecf\u8ba8\u8bba\u4e86\u5f88\u591a\u5173\u4e8e\u547d\u9898\u903b\u8f91\u7684\u63a8\u7406\u6280\u5de7\u548c\u8bed\u4e49\u5b66\u7684\u5185\u5bb9\uff0c\u4f46\u8fd9\u4e9b\u5185\u5bb9\u603b\u662f\u4ee5\u4e00\u79cd\u65b9\u5f0f\u5448\u73b0\u51fa\u6765\uff0c\u4f3c\u4e4e\u5b83\u4eec\u662f\u5b8c\u5168\u72ec\u7acb\u7684\u4e24\u4e2a\u65b9\u9762\uff0c\u6ca1\u6709\u4efb\u4f55\u8054\u7cfb\u3002\u5b9e\u9645\u60c5\u51b5\u5219\u5b8c\u5168\u76f8\u53cd\u3002 \u53ef\u9760\u6027\uff1a\u4e00\u65b9\u9762\uff0c\u5f53\u8868\u8fbe\u5f0f G \u53ef\u4ee5\u4ece\u4e00\u7ec4\u8868\u8fbe\u5f0f \u63a8\u5bfc\u51fa\u65f6\uff0c\u903b\u8f91\u7cfb\u7edf\u662f\u53ef\u9760\u7684\uff0c\u56e0\u6b64 G \u662f \u7684\uff08\u8bed\u4e49\uff09\u7ed3\u679c\u3002 \u5b8c\u5907\u6027\uff1a\u53e6\u4e00\u65b9\u9762\uff0c\u5982\u679c G \u662f\u4e00\u7ec4\u8868\u8fbe\u5f0f \u7684\u8bed\u4e49\u7ed3\u679c\uff0c\u90a3\u4e48\u5b58\u5728\u4e00\u4e2a\u5305\u542b \u4f5c\u4e3a\u524d\u63d0\u7684\u5f62\u5f0f\u8bc1\u660e\uff0c\u901a\u8fc7\u8be5\u8bc1\u660e\u53ef\u4ee5\u63a8\u5bfc\u51fa G\u3002 \u901a\u8fc7\u56de\u987e\u8fd9\u4e9b\u89c2\u70b9\uff0c\u6211\u4eec\u4f1a\u53d1\u73b0\u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027\u5f97\u5230\u4e86\u6ee1\u8db3\u3002 \u547d\u9898\u903b\u8f91\u7684\u53ef\u9760\u6027 \u901a\u8fc7\u89c2\u5bdf\u5176\u63a8\u7406\u7cfb\u7edf\u7684\u6784\u6210\uff0c\u53ef\u4ee5\u8f7b\u677e\u83b7\u5f97\u547d\u9898\u903b\u8f91\u7684\u53ef\u9760\u6027\u3002\u5982\u679c\u6211\u4eec\u4e3a \u0141ukasiewicz \u516c\u7406\u5236\u4f5c\u771f\u503c\u8868\uff0c\u6211\u4eec\u4f1a\u770b\u5230\u5b83\u4eec\u5177\u6709\u8fd9\u6837\u4e00\u79cd\u7ed3\u6784\uff0c\u5373\u5b83\u4eec\u7684\u771f\u503c\u59cb\u7ec8\u4e3a\u771f\uff0c\u5373\uff1a \u540c\u6837\uff0c\u6f14\u7ece\u63a8\u7406\u53ef\u4ee5\u91cd\u5199\u4e3a \uff0c\u8fd9\u53ef\u4ee5\u4f7f\u7528\u63a8\u7406\u5b9a\u7406\u7684\u8bed\u4e49\u7248\u672c\u83b7\u5f97\u3002\u4e8b\u5b9e\u4e0a\uff0c\u901a\u8fc7\u8fd9\u79cd\u65b9\u5f0f\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u5230 \uff0c\u7136\u540e \uff0c\u8fd9\u663e\u7136\u662f\u4e00\u79cd\u975e\u5e38\u660e\u663e\u7684\u91cd\u8a00\u5f0f\u3002 \u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027 \u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u544a\u8bc9\u6211\u4eec\uff0c [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":28119,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":42,"footnotes":""},"categories":[623,575,609],"tags":[],"class_list":["post-28127","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-623","category-575","category-609"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027 - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"\u6700\u7ec8\u7406\u89e3\u547d\u9898\u903b\u8f91\u4e2d\u5b8c\u5907\u6027\u4e0e\u53ef\u9760\u6027\u7684\u5173\u7cfb\uff0c\u4ee5\u53ca\u8fd9\u4e9b\u57fa\u672c\u5c5e\u6027\u5982\u4f55\u786e\u4fdd\u903b\u8f91\u7cfb\u7edf\u7684\u6709\u6548\u6027\u4e0e\u4e00\u81f4\u6027\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"http:\/\/toposuranos.com\/material\/zh\/\u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027\" \/>\n<meta property=\"og:description\" content=\"\u6700\u7ec8\u7406\u89e3\u547d\u9898\u903b\u8f91\u4e2d\u5b8c\u5907\u6027\u4e0e\u53ef\u9760\u6027\u7684\u5173\u7cfb\uff0c\u4ee5\u53ca\u8fd9\u4e9b\u57fa\u672c\u5c5e\u6027\u5982\u4f55\u786e\u4fdd\u903b\u8f91\u7cfb\u7edf\u7684\u6709\u6548\u6027\u4e0e\u4e00\u81f4\u6027\" \/>\n<meta property=\"og:url\" content=\"http:\/\/toposuranos.com\/material\/zh\/\u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027\/\" \/>\n<meta property=\"og:site_name\" content=\"toposuranos.com\/material\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/groups\/toposuranos\" \/>\n<meta property=\"article:published_time\" content=\"2021-04-08T13:00:50+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-08-22T08:19:25+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/08\/semantic-1024x576.jpg\" \/>\n<meta name=\"author\" content=\"giorgio.reveco\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"\u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027\" \/>\n<meta name=\"twitter:description\" content=\"\u6700\u7ec8\u7406\u89e3\u547d\u9898\u903b\u8f91\u4e2d\u5b8c\u5907\u6027\u4e0e\u53ef\u9760\u6027\u7684\u5173\u7cfb\uff0c\u4ee5\u53ca\u8fd9\u4e9b\u57fa\u672c\u5c5e\u6027\u5982\u4f55\u786e\u4fdd\u903b\u8f91\u7cfb\u7edf\u7684\u6709\u6548\u6027\u4e0e\u4e00\u81f4\u6027\" \/>\n<meta name=\"twitter:image\" content=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/08\/semantic.jpg\" \/>\n<meta name=\"twitter:creator\" content=\"@topuranos\" \/>\n<meta name=\"twitter:site\" content=\"@topuranos\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"giorgio.reveco\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tiempo de lectura\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minuto\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"http:\/\/toposuranos.com\/material\/zh\/%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%84%e5%ae%8c%e5%a4%87%e6%80%a7%e5%92%8c%e5%8f%af%e9%9d%a0%e6%80%a7\/#article\",\"isPartOf\":{\"@id\":\"http:\/\/toposuranos.com\/material\/zh\/%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%84%e5%ae%8c%e5%a4%87%e6%80%a7%e5%92%8c%e5%8f%af%e9%9d%a0%e6%80%a7\/\"},\"author\":{\"name\":\"giorgio.reveco\",\"@id\":\"http:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1\"},\"headline\":\"\u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027\",\"datePublished\":\"2021-04-08T13:00:50+00:00\",\"dateModified\":\"2024-08-22T08:19:25+00:00\",\"mainEntityOfPage\":{\"@id\":\"http:\/\/toposuranos.com\/material\/zh\/%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%84%e5%ae%8c%e5%a4%87%e6%80%a7%e5%92%8c%e5%8f%af%e9%9d%a0%e6%80%a7\/\"},\"wordCount\":152,\"commentCount\":0,\"publisher\":{\"@id\":\"http:\/\/toposuranos.com\/material\/#organization\"},\"image\":{\"@id\":\"http:\/\/toposuranos.com\/material\/zh\/%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%84%e5%ae%8c%e5%a4%87%e6%80%a7%e5%92%8c%e5%8f%af%e9%9d%a0%e6%80%a7\/#primaryimage\"},\"thumbnailUrl\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/08\/semantic.jpg\",\"articleSection\":[\"\u547d\u9898\u903b\u8f91\",\"\u6570\u5b66\",\"\u6570\u7406\u903b\u8f91\"],\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"http:\/\/toposuranos.com\/material\/zh\/%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%84%e5%ae%8c%e5%a4%87%e6%80%a7%e5%92%8c%e5%8f%af%e9%9d%a0%e6%80%a7\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"http:\/\/toposuranos.com\/material\/zh\/%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%84%e5%ae%8c%e5%a4%87%e6%80%a7%e5%92%8c%e5%8f%af%e9%9d%a0%e6%80%a7\/\",\"url\":\"http:\/\/toposuranos.com\/material\/zh\/%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%84%e5%ae%8c%e5%a4%87%e6%80%a7%e5%92%8c%e5%8f%af%e9%9d%a0%e6%80%a7\/\",\"name\":\"\u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027 - toposuranos.com\/material\",\"isPartOf\":{\"@id\":\"http:\/\/toposuranos.com\/material\/#website\"},\"primaryImageOfPage\":{\"@id\":\"http:\/\/toposuranos.com\/material\/zh\/%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%84%e5%ae%8c%e5%a4%87%e6%80%a7%e5%92%8c%e5%8f%af%e9%9d%a0%e6%80%a7\/#primaryimage\"},\"image\":{\"@id\":\"http:\/\/toposuranos.com\/material\/zh\/%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%84%e5%ae%8c%e5%a4%87%e6%80%a7%e5%92%8c%e5%8f%af%e9%9d%a0%e6%80%a7\/#primaryimage\"},\"thumbnailUrl\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/08\/semantic.jpg\",\"datePublished\":\"2021-04-08T13:00:50+00:00\",\"dateModified\":\"2024-08-22T08:19:25+00:00\",\"description\":\"\u6700\u7ec8\u7406\u89e3\u547d\u9898\u903b\u8f91\u4e2d\u5b8c\u5907\u6027\u4e0e\u53ef\u9760\u6027\u7684\u5173\u7cfb\uff0c\u4ee5\u53ca\u8fd9\u4e9b\u57fa\u672c\u5c5e\u6027\u5982\u4f55\u786e\u4fdd\u903b\u8f91\u7cfb\u7edf\u7684\u6709\u6548\u6027\u4e0e\u4e00\u81f4\u6027\",\"breadcrumb\":{\"@id\":\"http:\/\/toposuranos.com\/material\/zh\/%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%84%e5%ae%8c%e5%a4%87%e6%80%a7%e5%92%8c%e5%8f%af%e9%9d%a0%e6%80%a7\/#breadcrumb\"},\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"http:\/\/toposuranos.com\/material\/zh\/%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%84%e5%ae%8c%e5%a4%87%e6%80%a7%e5%92%8c%e5%8f%af%e9%9d%a0%e6%80%a7\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"http:\/\/toposuranos.com\/material\/zh\/%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%84%e5%ae%8c%e5%a4%87%e6%80%a7%e5%92%8c%e5%8f%af%e9%9d%a0%e6%80%a7\/#primaryimage\",\"url\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/08\/semantic.jpg\",\"contentUrl\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/08\/semantic.jpg\",\"width\":1280,\"height\":720},{\"@type\":\"BreadcrumbList\",\"@id\":\"http:\/\/toposuranos.com\/material\/zh\/%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%84%e5%ae%8c%e5%a4%87%e6%80%a7%e5%92%8c%e5%8f%af%e9%9d%a0%e6%80%a7\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Portada\",\"item\":\"https:\/\/toposuranos.com\/material\/es\/cursos-de-matematica-y-fisica\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027\"}]},{\"@type\":\"WebSite\",\"@id\":\"http:\/\/toposuranos.com\/material\/#website\",\"url\":\"http:\/\/toposuranos.com\/material\/\",\"name\":\"toposuranos.com\/material\",\"description\":\"\",\"publisher\":{\"@id\":\"http:\/\/toposuranos.com\/material\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"http:\/\/toposuranos.com\/material\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"es\"},{\"@type\":\"Organization\",\"@id\":\"http:\/\/toposuranos.com\/material\/#organization\",\"name\":\"toposuranos.com\/material\",\"url\":\"http:\/\/toposuranos.com\/material\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"http:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/\",\"url\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png\",\"contentUrl\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png\",\"width\":2400,\"height\":2059,\"caption\":\"toposuranos.com\/material\"},\"image\":{\"@id\":\"http:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.facebook.com\/groups\/toposuranos\",\"https:\/\/x.com\/topuranos\",\"https:\/\/www.youtube.com\/channel\/UC16yDm12cPcrwsE0fAM7X1g\",\"https:\/\/www.linkedin.com\/company\/69429190\"]},{\"@type\":\"Person\",\"@id\":\"http:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1\",\"name\":\"giorgio.reveco\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"http:\/\/toposuranos.com\/material\/#\/schema\/person\/image\/\",\"url\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg\",\"contentUrl\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg\",\"caption\":\"giorgio.reveco\"},\"description\":\"Soy Licenciado en F\u00edsica, Magister en Ingenier\u00eda Industrial y Docente Universitario. Me dedico a desmitificar la f\u00edsica y las matem\u00e1ticas. Mi objetivo es hacer que estos campos sean f\u00e1cilmente comprensibles para todos, proporcionando las herramientas para explorar no solo el mundo que nos rodea, sino tambi\u00e9n las profundidades de nuestra propia existencia y el orden natural que nos conecta con el cosmos.\",\"sameAs\":[\"http:\/\/toposuranos.com\/material\"],\"url\":\"http:\/\/toposuranos.com\/material\/author\/giorgio-reveco\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027 - toposuranos.com\/material","description":"\u6700\u7ec8\u7406\u89e3\u547d\u9898\u903b\u8f91\u4e2d\u5b8c\u5907\u6027\u4e0e\u53ef\u9760\u6027\u7684\u5173\u7cfb\uff0c\u4ee5\u53ca\u8fd9\u4e9b\u57fa\u672c\u5c5e\u6027\u5982\u4f55\u786e\u4fdd\u903b\u8f91\u7cfb\u7edf\u7684\u6709\u6548\u6027\u4e0e\u4e00\u81f4\u6027","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"http:\/\/toposuranos.com\/material\/zh\/\u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027\/","og_locale":"es_ES","og_type":"article","og_title":"\u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027","og_description":"\u6700\u7ec8\u7406\u89e3\u547d\u9898\u903b\u8f91\u4e2d\u5b8c\u5907\u6027\u4e0e\u53ef\u9760\u6027\u7684\u5173\u7cfb\uff0c\u4ee5\u53ca\u8fd9\u4e9b\u57fa\u672c\u5c5e\u6027\u5982\u4f55\u786e\u4fdd\u903b\u8f91\u7cfb\u7edf\u7684\u6709\u6548\u6027\u4e0e\u4e00\u81f4\u6027","og_url":"http:\/\/toposuranos.com\/material\/zh\/\u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027\/","og_site_name":"toposuranos.com\/material","article_publisher":"https:\/\/www.facebook.com\/groups\/toposuranos","article_published_time":"2021-04-08T13:00:50+00:00","article_modified_time":"2024-08-22T08:19:25+00:00","og_image":[{"url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/08\/semantic-1024x576.jpg","type":"","width":"","height":""}],"author":"giorgio.reveco","twitter_card":"summary_large_image","twitter_title":"\u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027","twitter_description":"\u6700\u7ec8\u7406\u89e3\u547d\u9898\u903b\u8f91\u4e2d\u5b8c\u5907\u6027\u4e0e\u53ef\u9760\u6027\u7684\u5173\u7cfb\uff0c\u4ee5\u53ca\u8fd9\u4e9b\u57fa\u672c\u5c5e\u6027\u5982\u4f55\u786e\u4fdd\u903b\u8f91\u7cfb\u7edf\u7684\u6709\u6548\u6027\u4e0e\u4e00\u81f4\u6027","twitter_image":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/08\/semantic.jpg","twitter_creator":"@topuranos","twitter_site":"@topuranos","twitter_misc":{"Escrito por":"giorgio.reveco","Tiempo de lectura":"1 minuto"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"http:\/\/toposuranos.com\/material\/zh\/%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%84%e5%ae%8c%e5%a4%87%e6%80%a7%e5%92%8c%e5%8f%af%e9%9d%a0%e6%80%a7\/#article","isPartOf":{"@id":"http:\/\/toposuranos.com\/material\/zh\/%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%84%e5%ae%8c%e5%a4%87%e6%80%a7%e5%92%8c%e5%8f%af%e9%9d%a0%e6%80%a7\/"},"author":{"name":"giorgio.reveco","@id":"http:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1"},"headline":"\u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027","datePublished":"2021-04-08T13:00:50+00:00","dateModified":"2024-08-22T08:19:25+00:00","mainEntityOfPage":{"@id":"http:\/\/toposuranos.com\/material\/zh\/%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%84%e5%ae%8c%e5%a4%87%e6%80%a7%e5%92%8c%e5%8f%af%e9%9d%a0%e6%80%a7\/"},"wordCount":152,"commentCount":0,"publisher":{"@id":"http:\/\/toposuranos.com\/material\/#organization"},"image":{"@id":"http:\/\/toposuranos.com\/material\/zh\/%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%84%e5%ae%8c%e5%a4%87%e6%80%a7%e5%92%8c%e5%8f%af%e9%9d%a0%e6%80%a7\/#primaryimage"},"thumbnailUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/08\/semantic.jpg","articleSection":["\u547d\u9898\u903b\u8f91","\u6570\u5b66","\u6570\u7406\u903b\u8f91"],"inLanguage":"es","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["http:\/\/toposuranos.com\/material\/zh\/%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%84%e5%ae%8c%e5%a4%87%e6%80%a7%e5%92%8c%e5%8f%af%e9%9d%a0%e6%80%a7\/#respond"]}]},{"@type":"WebPage","@id":"http:\/\/toposuranos.com\/material\/zh\/%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%84%e5%ae%8c%e5%a4%87%e6%80%a7%e5%92%8c%e5%8f%af%e9%9d%a0%e6%80%a7\/","url":"http:\/\/toposuranos.com\/material\/zh\/%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%84%e5%ae%8c%e5%a4%87%e6%80%a7%e5%92%8c%e5%8f%af%e9%9d%a0%e6%80%a7\/","name":"\u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027 - toposuranos.com\/material","isPartOf":{"@id":"http:\/\/toposuranos.com\/material\/#website"},"primaryImageOfPage":{"@id":"http:\/\/toposuranos.com\/material\/zh\/%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%84%e5%ae%8c%e5%a4%87%e6%80%a7%e5%92%8c%e5%8f%af%e9%9d%a0%e6%80%a7\/#primaryimage"},"image":{"@id":"http:\/\/toposuranos.com\/material\/zh\/%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%84%e5%ae%8c%e5%a4%87%e6%80%a7%e5%92%8c%e5%8f%af%e9%9d%a0%e6%80%a7\/#primaryimage"},"thumbnailUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/08\/semantic.jpg","datePublished":"2021-04-08T13:00:50+00:00","dateModified":"2024-08-22T08:19:25+00:00","description":"\u6700\u7ec8\u7406\u89e3\u547d\u9898\u903b\u8f91\u4e2d\u5b8c\u5907\u6027\u4e0e\u53ef\u9760\u6027\u7684\u5173\u7cfb\uff0c\u4ee5\u53ca\u8fd9\u4e9b\u57fa\u672c\u5c5e\u6027\u5982\u4f55\u786e\u4fdd\u903b\u8f91\u7cfb\u7edf\u7684\u6709\u6548\u6027\u4e0e\u4e00\u81f4\u6027","breadcrumb":{"@id":"http:\/\/toposuranos.com\/material\/zh\/%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%84%e5%ae%8c%e5%a4%87%e6%80%a7%e5%92%8c%e5%8f%af%e9%9d%a0%e6%80%a7\/#breadcrumb"},"inLanguage":"es","potentialAction":[{"@type":"ReadAction","target":["http:\/\/toposuranos.com\/material\/zh\/%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%84%e5%ae%8c%e5%a4%87%e6%80%a7%e5%92%8c%e5%8f%af%e9%9d%a0%e6%80%a7\/"]}]},{"@type":"ImageObject","inLanguage":"es","@id":"http:\/\/toposuranos.com\/material\/zh\/%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%84%e5%ae%8c%e5%a4%87%e6%80%a7%e5%92%8c%e5%8f%af%e9%9d%a0%e6%80%a7\/#primaryimage","url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/08\/semantic.jpg","contentUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/08\/semantic.jpg","width":1280,"height":720},{"@type":"BreadcrumbList","@id":"http:\/\/toposuranos.com\/material\/zh\/%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%84%e5%ae%8c%e5%a4%87%e6%80%a7%e5%92%8c%e5%8f%af%e9%9d%a0%e6%80%a7\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Portada","item":"https:\/\/toposuranos.com\/material\/es\/cursos-de-matematica-y-fisica\/"},{"@type":"ListItem","position":2,"name":"\u547d\u9898\u903b\u8f91\u7684\u5b8c\u5907\u6027\u548c\u53ef\u9760\u6027"}]},{"@type":"WebSite","@id":"http:\/\/toposuranos.com\/material\/#website","url":"http:\/\/toposuranos.com\/material\/","name":"toposuranos.com\/material","description":"","publisher":{"@id":"http:\/\/toposuranos.com\/material\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"http:\/\/toposuranos.com\/material\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"es"},{"@type":"Organization","@id":"http:\/\/toposuranos.com\/material\/#organization","name":"toposuranos.com\/material","url":"http:\/\/toposuranos.com\/material\/","logo":{"@type":"ImageObject","inLanguage":"es","@id":"http:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/","url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png","contentUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png","width":2400,"height":2059,"caption":"toposuranos.com\/material"},"image":{"@id":"http:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/groups\/toposuranos","https:\/\/x.com\/topuranos","https:\/\/www.youtube.com\/channel\/UC16yDm12cPcrwsE0fAM7X1g","https:\/\/www.linkedin.com\/company\/69429190"]},{"@type":"Person","@id":"http:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1","name":"giorgio.reveco","image":{"@type":"ImageObject","inLanguage":"es","@id":"http:\/\/toposuranos.com\/material\/#\/schema\/person\/image\/","url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg","contentUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg","caption":"giorgio.reveco"},"description":"Soy Licenciado en F\u00edsica, Magister en Ingenier\u00eda Industrial y Docente Universitario. Me dedico a desmitificar la f\u00edsica y las matem\u00e1ticas. Mi objetivo es hacer que estos campos sean f\u00e1cilmente comprensibles para todos, proporcionando las herramientas para explorar no solo el mundo que nos rodea, sino tambi\u00e9n las profundidades de nuestra propia existencia y el orden natural que nos conecta con el cosmos.","sameAs":["http:\/\/toposuranos.com\/material"],"url":"http:\/\/toposuranos.com\/material\/author\/giorgio-reveco\/"}]}},"_links":{"self":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts\/28127","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/comments?post=28127"}],"version-history":[{"count":0,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts\/28127\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/media\/28119"}],"wp:attachment":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/media?parent=28127"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/categories?post=28127"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/tags?post=28127"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}