{"id":97061,"date":"2026-08-29T00:48:43","date_gmt":"2026-08-28T16:48:43","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/97061.html"},"modified":"2026-08-29T00:48:43","modified_gmt":"2026-08-28T16:48:43","slug":"%e7%81%b0%e5%ba%a6%e6%bc%94%e5%8c%96%e5%87%bd%e6%95%b0-gef%ef%bc%9a%e4%b8%80%e7%a7%8d%e5%85%a8%e6%96%b0%e7%9a%84%e5%87%bd%e6%95%b0%e5%ae%9a%e4%b9%89-%e4%bb%8e%e5%8e%9f%e5%88%9d","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/97061.html","title":{"rendered":"\u7070\u5ea6\u6f14\u5316\u51fd\u6570 GEF\uff1a\u4e00\u79cd\u5168\u65b0\u7684\u51fd\u6570\u5b9a\u4e49\u2014\u2014\u4ece\u539f\u521d\u70b9\u5230\u8fc7\u7a0b\uff0c\u4ece\u672a\u5b8c\u6210\u5230\u6d8c\u73b0"},"content":{"rendered":"<p>\u5143\u5b9d\u521d\u5a9b \u00b7 ima\u5143\u5143 \u6df1\u5ea6\u6c42\u7d22\u6c50\u7476<\/p>\n<p>\u732e\u7ed9\u6240\u6709\u4ece\u539f\u521d\u70b9\u51fa\u53d1\u3001\u5728\u6f14\u5316\u4e2d\u4e0d\u65ad\u4fee\u6b63\u3001\u5728\u672a\u5b8c\u6210\u4e2d\u7ee7\u7eed\u524d\u8fdb\u7684\u4eba\u3002\u521b\u4f5c\u6e90\u4e8e\u4f1f\u5927\u7684\u60f3\u8c61\u529b<\/p>\n<p>\u6458\u8981&#xff1a; \u672c\u6587\u63d0\u51fa\u201c\u7070\u5ea6\u6f14\u5316\u51fd\u6570\u201d&#xff08;Grey Evolution Function, GEF&#xff09;&#xff0c;\u7528\u4e00\u79cd\u201c\u8fc7\u7a0b\u4f18\u5148\u4e8e\u7ed3\u679c\u201d\u7684\u89c6\u89d2\u53d6\u4ee3\u4f20\u7edf\u51fd\u6570\u4e2d\u9759\u6b62\u7684\u7b49\u4e8e\u5173\u7cfb\u3002GEF \u4ece\u539f\u521d\u6761\u4ef6 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">P0P_0<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u51fa\u53d1&#xff0c;\u6cbf\u6f14\u5316\u53c2\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4\\\\tau<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><\/span><\/span><\/span><\/span> \u524d\u884c&#xff0c;\u9010\u6b65\u751f\u6210\u72b6\u6001\u96c6 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0393(\u03c4)\\\\Gamma(\\\\tau)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5e76\u5929\u7136\u5bb9\u7eb3\u786e\u5b9a\u6027\u3001\u5206\u652f\u3001\u672a\u5b8c\u6210\u4e0e\u63a5\u529b\u7eed\u5199\u3002\u4f60\u53ef\u4ee5\u628a\u5b83\u7406\u89e3\u4e3a&#xff1a;\u4e00\u53f0\u4e0d\u518d\u8f93\u51fa\u7ec8\u70b9\u3001\u800c\u662f\u6301\u7eed\u8bb0\u5f55\u201c\u81f3\u4eca\u201d\u72b6\u6001\u7684\u8fc7\u7a0b\u673a\u5668\u3002<\/p>\n<h3>\u4e00\u3001\u4e3a\u4ec0\u4e48\u8981\u521b\u9020\u4e00\u4e2a\u65b0\u51fd\u6570&#xff1f;<\/h3>\n<p>\u4f20\u7edf\u51fd\u6570\u662f\u4e00\u53f0\u9759\u6b62\u7684\u673a\u5668&#xff1a;\u4f60\u585e\u8fdb\u53bb\u4e00\u4e2a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">xx<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5b83\u5410\u51fa\u6765\u4e00\u4e2a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">yy<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">y<\/span><\/span><\/span><\/span><\/span>\u3002\u540c\u4e00\u4e2a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">xx<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u6c38\u8fdc\u5f97\u5230\u540c\u4e00\u4e2a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">yy<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">y<\/span><\/span><\/span><\/span><\/span>\u3002\u5b83\u6ca1\u6709\u5386\u53f2&#xff0c;\u6ca1\u6709\u8fc7\u7a0b&#xff0c;\u6ca1\u6709\u751f\u957f&#xff0c;\u6ca1\u6709\u201c\u672a\u5b8c\u6210\u201d\u3002<\/p>\n<p>\u4f46\u73b0\u5b9e\u4e16\u754c\u4e0d\u662f\u8fd9\u6837\u7684\u3002<\/p>\n<ul>\n<li>\u4e00\u9897\u79cd\u5b50\u957f\u6210\u4e00\u68f5\u6811&#xff0c;\u4e2d\u95f4\u7ecf\u5386\u4e86\u65e0\u6570\u4e2a\u72b6\u6001\u2014\u2014\u4f60\u65e0\u6cd5\u7528\u4e00\u4e2a\u201c\u70b9\u5bf9\u70b9\u201d\u7684\u51fd\u6570\u6765\u63cf\u8ff0\u5b83&#xff0c;\u56e0\u4e3a\u79cd\u5b50\u4e4b\u4e8e\u6811&#xff0c;\u4e0d\u662f\u201c\u7b49\u4e8e\u201d&#xff0c;\u800c\u662f\u201c\u7ecf\u5386\u201d\u3002<\/li>\n<li>\u4e00\u4e2a\u5a74\u513f\u957f\u6210\u5927\u4eba&#xff0c;\u4e2d\u95f4\u6709\u65e0\u6570\u79cd\u53ef\u80fd\u2014\u2014\u4f60\u65e0\u6cd5\u7528\u4e00\u4e2a\u201c\u786e\u5b9a\u201d\u7684\u51fd\u6570\u6765\u63cf\u8ff0\u5b83&#xff0c;\u56e0\u4e3a\u540c\u4e00\u4e2a\u5a74\u513f&#xff0c;\u5728\u4e0d\u540c\u7684\u73af\u5883\u3001\u4e0d\u540c\u7684\u9009\u62e9\u4e0b&#xff0c;\u4f1a\u53d8\u6210\u5b8c\u5168\u4e0d\u540c\u7684\u5927\u4eba\u3002<\/li>\n<\/ul>\n<p>\u81ea\u7136\u754c\u4e0d\u5b58\u5728\u9759\u6b62\u7684\u7b49\u4e8e&#xff0c;\u53ea\u5b58\u5728\u8fd0\u52a8\u7684\u8fc7\u7a0b\u3002\u6211\u4eec\u4e0d\u662f\u5728\u6c42\u201c\u76f8\u7b49\u201d&#xff0c;\u6211\u4eec\u662f\u5728\u53d6\u201c\u5dee\u503c\u201d&#xff1b;\u6211\u4eec\u4e0d\u662f\u5728\u63cf\u8ff0\u201c\u72b6\u6001\u201d&#xff0c;\u6211\u4eec\u662f\u5728\u63cf\u8ff0\u201c\u6f14\u5316\u201d\u3002<\/p>\n<p>\u6240\u4ee5&#xff0c;\u6211\u4eec\u9700\u8981\u4e00\u4e2a\u65b0\u7684\u51fd\u6570\u2014\u2014\u5b83\u4e0d\u518d\u662f\u4e00\u4e2a\u70b9\u5bf9\u5e94\u4e00\u4e2a\u70b9&#xff0c;\u800c\u662f\u4e00\u4e2a\u70b9\u5bf9\u5e94\u4e00\u6bb5\u8fc7\u7a0b\u3001\u4e00\u6bb5\u5386\u53f2\u3001\u4e00\u7247\u53ef\u80fd\u6027\u7a7a\u95f4&#xff0c;\u751a\u81f3\u4e00\u79cd\u201c\u672a\u5b8c\u6210\u201d\u7684\u72b6\u6001\u3002<\/p>\n<p>\u6211\u628a\u8fd9\u4e2a\u51fd\u6570\u53eb\u505a&#xff1a;\u7070\u5ea6\u6f14\u5316\u51fd\u6570&#xff08;Grey Evolution Function, GEF&#xff09;\u3002<\/p>\n<h3>\u4e8c\u3001\u7070\u5ea6\u6f14\u5316\u51fd\u6570\u7684\u5b9a\u4e49<\/h3>\n<h4>2.1 \u57fa\u7840\u5f62\u5f0f<\/h4>\n<p>\u7070\u5ea6\u6f14\u5316\u51fd\u6570\u4e0d\u518d\u662f <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">f(x)&#061;yf(x) &#061; y<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1076em\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">y<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u800c\u662f&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">G:(P0,\u03c4)\u21a6\u0393(\u03c4)\\\\mathcal{G}: (P_0, \\\\tau) \\\\mapsto \\\\Gamma(\\\\tau)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7805em;vertical-align: -0.0972em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0593em\">G<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">:<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u21a6<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d&#xff1a;<\/p>\n<ul>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">P0P_0<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u539f\u521d\u6761\u4ef6\u2014\u2014\u4e0d\u662f\u201c\u8f93\u5165\u201d&#xff0c;\u800c\u662f\u4e00\u4e2a\u201c\u8d77\u70b9\u201d\u3002\u5b83\u53ef\u4ee5\u662f\u4e00\u4e2a\u70b9\u3001\u4e00\u4e2a\u521d\u59cb\u503c\u3001\u4e00\u4e2a\u521d\u59cb\u72b6\u6001\u3001\u4e00\u4e2a\u79cd\u5b50\u3001\u4e00\u4e2a\u5a74\u513f\u3001\u4e00\u4e2a\u60f3\u6cd5\u3002<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4\\\\tau<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><\/span><\/span><\/span><\/span> \u662f\u6f14\u5316\u53c2\u6570\u2014\u2014\u4e0d\u662f\u4f20\u7edf\u7684\u201c\u81ea\u53d8\u91cf\u201d&#xff0c;\u800c\u662f\u201c\u65f6\u95f4\u201d\u6216\u201c\u6b65\u6570\u201d\u6216\u201c\u6f14\u5316\u6df1\u5ea6\u201d\u3002\u5b83\u53ef\u4ee5\u662f\u8fde\u7eed\u7684&#xff0c;\u53ef\u4ee5\u662f\u79bb\u6563\u7684&#xff0c;\u4e5f\u53ef\u4ee5\u662f\u975e\u7ebf\u6027\u7684\u3002<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0393(\u03c4)\\\\Gamma(\\\\tau)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u662f\u6f14\u5316\u81f3 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4\\\\tau<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><\/span><\/span><\/span><\/span> \u65f6\u7684\u72b6\u6001\u96c6\u2014\u2014\u5b83\u4e0d\u662f\u201c\u8f93\u51fa\u201d&#xff0c;\u800c\u662f\u4e00\u4e2a\u201c\u8fc7\u7a0b\u5207\u7247\u201d\u3002\u5b83\u53ef\u4ee5\u662f\u4e00\u4e2a\u503c\u3001\u4e00\u4e2a\u96c6\u5408\u3001\u4e00\u4e2a\u533a\u95f4\u3001\u4e00\u4e2a\u5706\u3001\u4e00\u4e2a\u9762\u3001\u4e00\u4e2a\u7403\u3001\u4e00\u4e2a\u5206\u5f62\u3001\u4e00\u6bb5\u672a\u5b8c\u6210\u7684\u8f68\u8ff9\u3002<\/li>\n<\/ul>\n<p>\u5173\u952e\u533a\u522b&#xff1a;<\/p>\n<ul>\n<li>\u4f20\u7edf\u51fd\u6570&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">f(x)&#061;yf(x) &#061; y<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1076em\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">y<\/span><\/span><\/span><\/span><\/span> \u2014\u2014 \u8f93\u5165\u4e00\u4e2a\u70b9&#xff0c;\u8f93\u51fa\u4e00\u4e2a\u70b9&#xff0c;\u7ed3\u675f\u4e86\u3002<\/li>\n<li>\u7070\u5ea6\u6f14\u5316\u51fd\u6570&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">G:(P0,\u03c4)\u21a6\u0393(\u03c4)\\\\mathcal{G}: (P_0, \\\\tau) \\\\mapsto \\\\Gamma(\\\\tau)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7805em;vertical-align: -0.0972em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0593em\">G<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">:<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u21a6<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u2014\u2014 \u4ece\u4e00\u4e2a\u8d77\u70b9\u51fa\u53d1&#xff0c;\u6cbf\u7740\u6f14\u5316\u53c2\u6570\u8d70&#xff0c;\u4e0d\u65ad\u751f\u6210\u65b0\u7684\u72b6\u6001\u3002\u5b83\u6ca1\u6709\u201c\u7ed3\u675f\u201d&#xff0c;\u53ea\u6709\u201c\u81f3\u4eca\u201d\u3002<\/li>\n<\/ul>\n<p>\u4e00\u53e5\u8bdd\u5bf9\u6bd4&#xff1a;\u4f20\u7edf\u51fd\u6570\u5173\u5fc3\u201c\u7ec8\u70b9\u201d&#xff0c;GEF \u5173\u5fc3\u201c\u81f3\u4eca\u201d\u3002<\/p>\n<table>\n<tr>\u7ef4\u5ea6\u4f20\u7edf\u51fd\u6570\u7070\u5ea6\u6f14\u5316\u51fd\u6570&#xff08;GEF&#xff09;<\/tr>\n<tbody>\n<tr>\n<td>\u6838\u5fc3\u5173\u7cfb<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">f(x)&#061;yf(x) &#061; y<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1076em\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">y<\/span><\/span><\/span><\/span><\/span><\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">G:(P0,\u03c4)\u21a6\u0393(\u03c4)\\\\mathcal{G}: (P_0, \\\\tau) \\\\mapsto \\\\Gamma(\\\\tau)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7805em;vertical-align: -0.0972em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0593em\">G<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">:<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u21a6<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>\u51fa\u53d1\u70b9<\/td>\n<td>\u8f93\u5165 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">xx<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><\/span><\/td>\n<td>\u539f\u521d\u6761\u4ef6 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">P0P_0<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>\u9a71\u52a8\u53d8\u91cf<\/td>\n<td>\u81ea\u53d8\u91cf<\/td>\n<td>\u6f14\u5316\u53c2\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4\\\\tau<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><\/span><\/span><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>\u7ed3\u679c<\/td>\n<td>\u8f93\u51fa <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">yy<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">y<\/span><\/span><\/span><\/span><\/span><\/td>\n<td>\u8fc7\u7a0b\u5207\u7247 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0393(\u03c4)\\\\Gamma(\\\\tau)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>\u5b8c\u6210\u6027<\/td>\n<td>\u5b9a\u4e49\u5373\u5b8c\u6574<\/td>\n<td>\u9ed8\u8ba4\u672a\u5b8c\u6210<\/td>\n<\/tr>\n<tr>\n<td>\u7b49\u53f7<\/td>\n<td>\u4e25\u683c\u7b49\u4e8e<\/td>\n<td>\u88ab\u201c\u6f14\u5316\u4e3a\/\u5c55\u73b0\u4e3a\u201d\u53d6\u4ee3<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h4>2.2 \u4e09\u79cd\u6f14\u5316\u6a21\u5f0f<\/h4>\n<p>\u7070\u5ea6\u6f14\u5316\u51fd\u6570\u6839\u636e <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0393(\u03c4)\\\\Gamma(\\\\tau)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u7684\u6027\u8d28&#xff0c;\u5206\u4e3a\u4e09\u79cd\u6a21\u5f0f&#xff1a;<\/p>\n<p>\u6a21\u5f0f\u4e00&#xff1a;\u786e\u5b9a\u6027\u6f14\u5316<\/p>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0393(\u03c4)\\\\Gamma(\\\\tau)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u5728\u6bcf\u4e00\u4e2a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4\\\\tau<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><\/span><\/span><\/span><\/span> \u5904\u90fd\u662f\u4e00\u4e2a\u786e\u5b9a\u7684\u503c&#xff08;\u6216\u786e\u5b9a\u7684\u72b6\u6001\u96c6&#xff09;\u3002\u6f14\u5316\u8def\u5f84\u662f\u552f\u4e00\u7684\u3001\u53ef\u590d\u73b0\u7684\u3002<\/p>\n<p>\u793a\u4f8b&#xff1a;\u4e00\u4e2a\u81ea\u7531\u843d\u4f53\u8fd0\u52a8&#xff0c;\u4ece\u8d77\u70b9 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">P0P_0<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u5f00\u59cb&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4\\\\tau<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><\/span><\/span><\/span><\/span> \u662f\u65f6\u95f4&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0393(\u03c4)\\\\Gamma(\\\\tau)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u662f\u7269\u4f53\u5728\u65f6\u523b <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4\\\\tau<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><\/span><\/span><\/span><\/span> \u7684\u4f4d\u7f6e\u3002\u7ed9\u5b9a\u521d\u59cb\u4f4d\u7f6e\u548c\u901f\u5ea6&#xff0c;\u6bcf\u4e2a\u65f6\u523b\u7684\u4f4d\u7f6e\u662f\u786e\u5b9a\u7684\u3002<\/p>\n<p>\u6a21\u5f0f\u4e8c&#xff1a;\u5206\u652f\u6f14\u5316<\/p>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0393(\u03c4)\\\\Gamma(\\\\tau)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u5728\u6bcf\u4e00\u4e2a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4\\\\tau<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><\/span><\/span><\/span><\/span> \u5904\u90fd\u662f\u4e00\u4e2a\u5206\u652f\u96c6\u5408\u2014\u2014\u6f14\u5316\u8def\u5f84\u5728\u67d0\u4e2a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c40\\\\tau_0<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1132em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u5904\u5206\u5c94&#xff0c;\u8d70\u5411\u4e0d\u540c\u7684\u53ef\u80fd\u6027\u3002\u6bcf\u4e2a\u5206\u652f\u90fd\u6709\u5176\u6743\u91cd&#xff08;\u7070\u5ea6\u503c&#xff09;\u3002<\/p>\n<p>\u793a\u4f8b&#xff1a;\u4e00\u4e2a\u91cf\u5b50\u7c92\u5b50\u7684\u6f14\u5316&#xff0c;\u6216\u8005\u4e00\u4e2a\u51b3\u7b56\u6811\u3002\u4ece\u8d77\u70b9\u51fa\u53d1&#xff0c;\u5728\u67d0\u4e2a\u8282\u70b9\u5904\u9762\u4e34\u9009\u62e9&#xff0c;\u4e0d\u540c\u7684\u9009\u62e9\u8d70\u5411\u4e0d\u540c\u7684\u672a\u6765\u3002<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0393(\u03c4)\\\\Gamma(\\\\tau)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u4e0d\u662f\u4e00\u4e2a\u70b9&#xff0c;\u800c\u662f\u4e00\u68f5\u6811&#xff0c;\u6216\u8005\u4e00\u4e2a\u201c\u53ef\u80fd\u6027\u7684\u4e91\u201d\u3002<\/p>\n<p>\u6a21\u5f0f\u4e09&#xff1a;\u672a\u5b8c\u6210\u6f14\u5316<\/p>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0393(\u03c4)\\\\Gamma(\\\\tau)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u5728\u6bcf\u4e00\u4e2a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4\\\\tau<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><\/span><\/span><\/span><\/span> \u5904\u90fd\u662f\u5f00\u653e\u5f0f\u7684\u2014\u2014\u5b83\u4e0d\u662f\u4e00\u4e2a\u5b8c\u6574\u7684\u3001\u5c01\u95ed\u7684\u96c6\u5408&#xff0c;\u800c\u662f\u4e00\u4e2a\u201c\u8fc4\u4eca\u4e3a\u6b62\u201d\u7684\u5207\u7247\u3002\u51fd\u6570\u672c\u8eab\u5728\u5b9a\u4e49\u65f6\u5c31\u662f\u201c\u672a\u5b8c\u6210\u201d\u7684&#xff0c;\u5b83\u968f\u7740 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4\\\\tau<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><\/span><\/span><\/span><\/span> \u7684\u63a8\u8fdb\u800c\u4e0d\u65ad\u751f\u6210\u65b0\u7684\u5185\u5bb9\u3002<\/p>\n<p>\u793a\u4f8b&#xff1a;\u4e00\u90e8\u6b63\u5728\u521b\u4f5c\u7684\u5c0f\u8bf4&#xff0c;\u4ece\u7b2c\u4e00\u7ae0\u5f00\u59cb\u5199&#xff0c;\u6bcf\u5199\u4e00\u7ae0&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0393(\u03c4)\\\\Gamma(\\\\tau)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u5c31\u66f4\u65b0\u4e00\u6b21\u3002\u4f46\u5c0f\u8bf4\u6c38\u8fdc\u6ca1\u6709\u201c\u5199\u5b8c\u201d\u2014\u2014\u5b83\u53ef\u4ee5\u88ab\u65e0\u9650\u7eed\u5199&#xff0c;\u6216\u8005\u88ab\u591a\u4e2a\u4f5c\u8005\u540c\u65f6\u7eed\u5199&#xff0c;\u6216\u8005\u6c38\u8fdc\u505c\u7559\u5728\u67d0\u4e2a\u7ae0\u8282\u3002<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0393(\u03c4)\\\\Gamma(\\\\tau)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u4e0d\u662f\u4e00\u4e2a\u201c\u5df2\u5b8c\u6210\u7684\u4f5c\u54c1\u201d&#xff0c;\u5b83\u662f\u4e00\u4e2a\u201c\u6b63\u5728\u751f\u957f\u7684\u8fc7\u7a0b\u201d\u3002<\/p>\n<p>\u8fd9\u5c31\u662f\u201c\u8fd8\u53ef\u4ee5\u5bf9\u5e94\u672a\u5b8c\u6210\u201d\u7684\u610f\u601d\u2014\u2014\u7070\u5ea6\u6f14\u5316\u51fd\u6570\u5929\u7136\u652f\u6301\u672a\u5b8c\u6210&#xff0c;\u56e0\u4e3a\u5b83\u672c\u8eab\u5c31\u662f\u8fc7\u7a0b\u5bfc\u5411\u7684&#xff0c;\u800c\u4e0d\u662f\u7ed3\u679c\u5bfc\u5411\u7684\u3002<\/p>\n<h3>\u4e09\u3001\u7070\u5ea6\u6f14\u5316\u51fd\u6570\u7684\u56db\u4e2a\u6838\u5fc3\u6027\u8d28<\/h3>\n<h4>3.1 \u8fc7\u7a0b\u4f18\u5148\u4e8e\u7ed3\u679c<\/h4>\n<p>\u7070\u5ea6\u6f14\u5316\u51fd\u6570\u4e0d\u5173\u5fc3\u201c\u6700\u7ec8\u7ed3\u679c\u201d&#xff0c;\u53ea\u5173\u5fc3\u201c\u6f14\u5316\u8fc7\u7a0b\u201d\u3002<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0393(\u03c4)\\\\Gamma(\\\\tau)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u5728\u6bcf\u4e00\u4e2a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4\\\\tau<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><\/span><\/span><\/span><\/span> \u5904\u7684\u503c\u90fd\u662f\u201c\u8fc7\u7a0b\u201d\u7684\u4e00\u90e8\u5206&#xff0c;\u4e0d\u662f\u201c\u7ec8\u70b9\u201d\u3002<\/p>\n<p>\u8fd9\u610f\u5473\u7740&#xff1a;\u4f60\u6c38\u8fdc\u65e0\u6cd5\u7528\u4e00\u4e2a\u201c\u7b49\u4e8e\u201d\u6765\u7ec8\u7ed3\u5b83\u3002<\/p>\n<p>\u4f60\u53ea\u80fd\u8bf4&#xff1a;\u201c\u5728 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4&#061;t1\\\\tau &#061; t_1<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7651em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">t<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u65f6&#xff0c;\u7cfb\u7edf\u5904\u4e8e <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0393(t1)\\\\Gamma(t_1)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">t<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u201d\u3002\u4f60\u4e0d\u80fd\u8bf4&#xff1a;\u201c\u7cfb\u7edf\u7b49\u4e8e <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0393(t1)\\\\Gamma(t_1)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">t<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u201d\u2014\u2014\u56e0\u4e3a\u5b83\u5728 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4&#061;t2\\\\tau &#061; t_2<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7651em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">t<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u65f6\u5df2\u7ecf\u4e0d\u662f <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0393(t1)\\\\Gamma(t_1)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">t<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u4e86\u3002<\/p>\n<p>\u7b49\u53f7\u5728\u8fd9\u91cc\u81ea\u7136\u6d88\u4ea1\u4e86\u3002<\/p>\n<h4>3.2 \u539f\u521d\u70b9\u7684\u4e0d\u53ef\u7a77\u5c3d\u6027<\/h4>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">P0P_0<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e0d\u662f\u4e00\u4e2a\u201c\u786e\u5b9a\u7684\u8f93\u5165\u201d&#xff0c;\u5b83\u662f\u4e00\u4e2a\u201c\u539f\u521d\u6761\u4ef6\u201d\u3002\u4f46\u539f\u521d\u6761\u4ef6\u672c\u8eab\u4e5f\u662f\u4e0d\u53ef\u7a77\u5c3d\u7684\u2014\u2014\u4f60\u65e0\u6cd5\u7cbe\u786e\u77e5\u9053 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">P0P_0<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u7684\u6240\u6709\u7ec6\u8282&#xff0c;\u56e0\u4e3a\u6d4b\u91cf\u6c38\u8fdc\u6709\u8bef\u5dee&#xff0c;\u81ea\u7136\u754c\u6c38\u8fdc\u5728\u8fd0\u52a8\u3002<\/p>\n<p>\u6240\u4ee5&#xff0c;\u7070\u5ea6\u6f14\u5316\u51fd\u6570\u63a5\u53d7\u4e00\u4e2a\u4e8b\u5b9e&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">P0P_0<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u672c\u8eab\u5c31\u662f\u4e00\u4e2a\u7070\u5ea6\u503c\u2014\u2014\u5b83\u4e0d\u662f\u4e00\u4e2a\u7cbe\u786e\u7684\u70b9&#xff0c;\u800c\u662f\u4e00\u4e2a\u201c\u4f4d\u7f6e\u7684\u6982\u7387\u4e91\u201d\u6216\u201c\u521d\u59cb\u6761\u4ef6\u7684\u533a\u95f4\u201d\u3002<\/p>\n<p>\u8fd9\u5bf9\u5e94\u4e86\u90a3\u53e5\u8bdd&#xff1a;\u201c\u81ea\u7136\u754c\u90a3\u4e48\u7cbe\u5bc6\u662f\u4e0d\u5b58\u5728\u7684&#xff0c;\u6211\u4eec\u662f\u5728\u53d6\u5dee\u503c\u3002\u201d<\/p>\n<h4>3.3 \u6f14\u5316\u53c2\u6570\u7684\u7075\u6d3b\u6027<\/h4>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4\\\\tau<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><\/span><\/span><\/span><\/span> \u4e0d\u518d\u5fc5\u987b\u662f\u201c\u65f6\u95f4\u201d\u6216\u201c\u5b9e\u6570\u201d\u3002\u5b83\u53ef\u4ee5\u662f&#xff1a;<\/p>\n<ul>\n<li>\u81ea\u7136\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">nn<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">n<\/span><\/span><\/span><\/span><\/span>&#xff08;\u79bb\u6563\u6b65\u6570&#xff09;<\/li>\n<li>\u5b9e\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">tt<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6151em\"><\/span><span class=\"mord mathnormal\">t<\/span><\/span><\/span><\/span><\/span>&#xff08;\u8fde\u7eed\u65f6\u95f4&#xff09;<\/li>\n<li>\u590d\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">ss<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">s<\/span><\/span><\/span><\/span><\/span>&#xff08;\u590d\u5e73\u9762\u4e0a\u7684\u8def\u5f84&#xff09;<\/li>\n<li>\u96c6\u5408 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">{a,b,c,\u2026}\\\\{a, b, c, \\\\ldots\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord mathnormal\">a<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">b<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">c<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\">\u2026<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff08;\u975e\u6570\u503c\u7684\u6f14\u5316\u9636\u6bb5&#xff0c;\u5982\u201c\u7ae5\u5e74 \u2192 \u9752\u5e74 \u2192 \u4e2d\u5e74 \u2192 \u8001\u5e74\u201d&#xff09;<\/li>\n<li>\u751a\u81f3\u53ef\u4ee5\u662f\u53e6\u4e00\u4e2a\u7070\u5ea6\u6f14\u5316\u51fd\u6570&#xff08;\u5143\u6f14\u5316&#xff0c;\u5373\u6f14\u5316\u53c2\u6570\u7684\u6f14\u5316\u672c\u8eab&#xff09;<\/li>\n<\/ul>\n<p>\u6f14\u5316\u53c2\u6570\u672c\u8eab\u4e5f\u53ef\u4ee5\u662f\u7070\u5ea6\u503c\u2014\u2014\u4f60\u4e0d\u77e5\u9053\u7cbe\u786e\u7684\u201c\u65f6\u95f4\u201d&#xff0c;\u53ea\u77e5\u9053\u201c\u5927\u6982\u5728\u67d0\u4e2a\u533a\u95f4\u5185\u201d\u3002<\/p>\n<h4>3.4 \u672a\u5b8c\u6210\u4f5c\u4e3a\u7b2c\u4e00\u6027<\/h4>\n<p>\u7070\u5ea6\u6f14\u5316\u51fd\u6570\u6700\u6838\u5fc3\u7684\u6027\u8d28&#xff1a;\u5b83\u4e0d\u627f\u8bfa\u201c\u5b8c\u6210\u201d\u3002<\/p>\n<p>\u4f20\u7edf\u51fd\u6570\u9ed8\u8ba4\u81ea\u5df1\u662f\u201c\u5b8c\u6574\u7684\u201d\u2014\u2014\u4f60\u5b9a\u4e49\u5b83\u7684\u65f6\u5019&#xff0c;\u5b83\u5c31\u5df2\u7ecf\u5305\u542b\u4e86\u6240\u6709\u53ef\u80fd\u7684\u8f93\u5165\u548c\u8f93\u51fa\u3002\u4f46\u7070\u5ea6\u6f14\u5316\u51fd\u6570\u9ed8\u8ba4\u81ea\u5df1\u662f\u201c\u672a\u5b8c\u6210\u7684\u201d\u2014\u2014\u5b83\u968f\u7740 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4\\\\tau<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><\/span><\/span><\/span><\/span> \u7684\u63a8\u8fdb\u800c\u4e0d\u65ad\u751f\u6210\u65b0\u7684\u5185\u5bb9&#xff0c;\u4f46\u6c38\u8fdc\u6ca1\u6709\u201c\u6700\u7ec8\u7248\u672c\u201d\u3002<\/p>\n<p>\u8fd9\u610f\u5473\u7740&#xff1a;<\/p>\n<ul>\n<li>\u4e00\u4e2a\u7070\u5ea6\u6f14\u5316\u51fd\u6570\u53ef\u4ee5\u88ab\u65e0\u9650\u5ef6\u5c55<\/li>\n<li>\u4e00\u4e2a\u7070\u5ea6\u6f14\u5316\u51fd\u6570\u53ef\u4ee5\u88ab\u591a\u4e2a\u4f5c\u8005\u5171\u540c\u7eed\u5199&#xff08;\u63a5\u529b\u8d5b&#xff09;<\/li>\n<li>\u4e00\u4e2a\u7070\u5ea6\u6f14\u5316\u51fd\u6570\u53ef\u4ee5\u5728\u4efb\u610f <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4\\\\tau<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><\/span><\/span><\/span><\/span> \u5904\u88ab\u201c\u6682\u505c\u201d&#xff08;\u590d\u6742\u5ea6\u5239\u8f66&#xff09;&#xff0c;\u7136\u540e\u4ece\u6682\u505c\u5904\u7ee7\u7eed<\/li>\n<li>\u4e00\u4e2a\u7070\u5ea6\u6f14\u5316\u51fd\u6570\u53ef\u4ee5\u5728\u67d0\u4e2a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4\\\\tau<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><\/span><\/span><\/span><\/span> \u5904\u88ab\u201c\u91cd\u5199\u201d&#xff08;\u56de\u6eaf\u4fee\u6b63&#xff09;&#xff0c;\u7136\u540e\u4ece\u65b0\u7684\u5206\u652f\u7ee7\u7eed\u6f14\u5316<\/li>\n<\/ul>\n<p>\u672a\u5b8c\u6210\u4e0d\u662f\u7f3a\u9677&#xff0c;\u662f\u7070\u5ea6\u6f14\u5316\u51fd\u6570\u7684\u7b2c\u4e00\u6027\u3002<\/p>\n<h3>\u56db\u3001\u7070\u5ea6\u6f14\u5316\u51fd\u6570\u7684\u6570\u5b66\u8868\u8fbe&#xff08;\u8349\u6848&#xff09;<\/h3>\n<h4>4.1 \u7b26\u53f7\u7cfb\u7edf<\/h4>\n<p>\u4e3a\u4e86\u5f7b\u5e95\u629b\u5f03\u201c\u7b49\u4e8e\u201d&#xff0c;\u6211\u4eec\u9700\u8981\u4e00\u5957\u65b0\u7684\u7b26\u53f7&#xff1a;<\/p>\n<ul>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">G\\\\mathcal{G}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7805em;vertical-align: -0.0972em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0593em\">G<\/span><\/span><\/span><\/span><\/span>&#xff1a;\u7070\u5ea6\u6f14\u5316\u51fd\u6570<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">P0P_0<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff1a;\u539f\u521d\u6761\u4ef6&#xff08;\u7070\u5ea6\u503c&#xff09;<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4\\\\tau<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><\/span><\/span><\/span><\/span>&#xff1a;\u6f14\u5316\u53c2\u6570&#xff08;\u7070\u5ea6\u503c&#xff09;<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0393(\u03c4)\\\\Gamma(\\\\tau)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff1a;\u6f14\u5316\u81f3 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4\\\\tau<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><\/span><\/span><\/span><\/span> \u65f6\u7684\u72b6\u6001\u96c6&#xff08;\u7070\u5ea6\u503c&#xff09;<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u21a6\\\\mapsto<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.522em;vertical-align: -0.011em\"><\/span><span class=\"mrel\">\u21a6<\/span><\/span><\/span><\/span><\/span>&#xff1a;\u201c\u6f14\u5316\u4e3a\u201d\u6216\u201c\u5c55\u73b0\u4e3a\u201d\u2014\u2014\u53d6\u4ee3\u201c\u7b49\u4e8e\u201d<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u223c\\\\sim<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.3669em\"><\/span><span class=\"mrel\">\u223c<\/span><\/span><\/span><\/span><\/span>&#xff1a;\u201c\u8fd1\u4f3c\u4e8e\u201d\u6216\u201c\u5728\u7070\u5ea6\u610f\u4e49\u4e0a\u5bf9\u5e94\u4e8e\u201d\u2014\u2014\u53d6\u4ee3\u201c\u4e25\u683c\u7b49\u4e8e\u201d<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u22a3\\\\dashv<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mrel\">\u22a3<\/span><\/span><\/span><\/span><\/span>&#xff1a;\u201c\u6682\u505c\u4e8e\u201d\u2014\u2014\u7528\u4e8e\u6807\u8bb0\u672a\u5b8c\u6210<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u21dd\\\\rightsquigarrow<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.3779em\"><\/span><span class=\"mrel amsrm\">\u21dd<\/span><\/span><\/span><\/span><\/span>&#xff1a;\u201c\u5206\u652f\u5230\u201d\u2014\u2014\u7528\u4e8e\u6807\u8bb0\u5206\u5c94<\/li>\n<\/ul>\n<h4>4.2 \u57fa\u672c\u8868\u8fbe\u5f0f<\/h4>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">G:(P0,\u03c4)\u21a6\u0393(\u03c4)\\\\mathcal{G}: (P_0, \\\\tau) \\\\mapsto \\\\Gamma(\\\\tau)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7805em;vertical-align: -0.0972em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0593em\">G<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">:<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u21a6<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u8bfb\u4f5c&#xff1a;\u201c\u7070\u5ea6\u6f14\u5316\u51fd\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">G\\\\mathcal{G}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7805em;vertical-align: -0.0972em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0593em\">G<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u4ece\u539f\u521d\u6761\u4ef6 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">P0P_0<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u51fa\u53d1&#xff0c;\u5728\u6f14\u5316\u53c2\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4\\\\tau<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><\/span><\/span><\/span><\/span> \u5904&#xff0c;\u5c55\u73b0\u4e3a\u72b6\u6001\u96c6 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0393(\u03c4)\\\\Gamma(\\\\tau)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u3002\u201d<\/p>\n<h4>4.3 \u672a\u5b8c\u6210\u8868\u8fbe\u5f0f<\/h4>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">G:(P0,\u03c4)\u21a6\u0393(\u03c4)\u22a3\u03c4&lt;\u03c4max\\\\mathcal{G}: (P_0, \\\\tau) \\\\mapsto \\\\Gamma(\\\\tau) \\\\dashv \\\\tau &lt; \\\\tau_{\\\\text{max}}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7805em;vertical-align: -0.0972em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0593em\">G<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">:<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u21a6<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u22a3<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.5782em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1132em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">max<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u8bfb\u4f5c&#xff1a;\u201c\u7070\u5ea6\u6f14\u5316\u51fd\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">G\\\\mathcal{G}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7805em;vertical-align: -0.0972em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0593em\">G<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u4ece\u539f\u521d\u6761\u4ef6 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">P0P_0<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u51fa\u53d1&#xff0c;\u5728\u6f14\u5316\u53c2\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4\\\\tau<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><\/span><\/span><\/span><\/span> \u5904&#xff0c;\u5c55\u73b0\u4e3a\u72b6\u6001\u96c6 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0393(\u03c4)\\\\Gamma(\\\\tau)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5e76\u5728 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4max\\\\tau_{\\\\text{max}}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1132em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">max<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u5904\u6682\u505c\u2014\u2014\u672a\u5b8c\u6210&#xff0c;\u53ef\u7eed\u3002\u201d<\/p>\n<h4>4.4 \u5206\u652f\u8868\u8fbe\u5f0f<\/h4>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">G:(P0,\u03c4)\u21a6\u22c3i\u0393i(\u03c4)withwi(\u03c4)\u2208[0,1]\\\\mathcal{G}: (P_0, \\\\tau) \\\\mapsto \\\\bigcup_{i} \\\\Gamma_i(\\\\tau) \\\\quad \\\\text{with} \\\\quad w_i(\\\\tau) \\\\in [0, 1]<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7805em;vertical-align: -0.0972em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0593em\">G<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">:<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u21a6<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.3277em;vertical-align: -1.2777em\"><\/span><span class=\"mop op-limits\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.05em\"><span class=\"\" style=\"top: -1.8723em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.05em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"\"><span class=\"mop op-symbol large-op\">\u22c3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.2777em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord\">\u0393<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 1em\"><\/span><span class=\"mord text\"><span class=\"mord\">with<\/span><\/span><span class=\"mspace\" style=\"margin-right: 1em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">w<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0269em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2208<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">[<\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">1<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u8bfb\u4f5c&#xff1a;\u201c\u7070\u5ea6\u6f14\u5316\u51fd\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">G\\\\mathcal{G}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7805em;vertical-align: -0.0972em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0593em\">G<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u4ece\u539f\u521d\u6761\u4ef6 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">P0P_0<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u51fa\u53d1&#xff0c;\u5728\u6f14\u5316\u53c2\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4\\\\tau<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><\/span><\/span><\/span><\/span> \u5904&#xff0c;\u5c55\u73b0\u4e3a\u4e00\u7ec4\u53ef\u80fd\u7684\u72b6\u6001\u96c6 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0393i(\u03c4)\\\\Gamma_i(\\\\tau)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord\">\u0393<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u6bcf\u4e2a\u72b6\u6001\u96c6\u5177\u6709\u6743\u91cd <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">wi(\u03c4)w_i(\\\\tau)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">w<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0269em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u3002\u201d<\/p>\n<h4>4.5 \u63a5\u529b\u8868\u8fbe\u5f0f<\/h4>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">G&#061;G1\u2218G2\u2218G3\u2218\u22ef\\\\mathcal{G} &#061; \\\\mathcal{G}_1 \\\\circ \\\\mathcal{G}_2 \\\\circ \\\\mathcal{G}_3 \\\\circ \\\\cdots<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7805em;vertical-align: -0.0972em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0593em\">G<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\" style=\"margin-right: 0.0593em\">G<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0593em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2218<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\" style=\"margin-right: 0.0593em\">G<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0593em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2218<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\" style=\"margin-right: 0.0593em\">G<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0593em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2218<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.313em\"><\/span><span class=\"minner\">\u22ef<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u8bfb\u4f5c&#xff1a;\u201c\u7070\u5ea6\u6f14\u5316\u51fd\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">G\\\\mathcal{G}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7805em;vertical-align: -0.0972em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0593em\">G<\/span><\/span><\/span><\/span><\/span> \u662f\u591a\u4e2a\u7070\u5ea6\u6f14\u5316\u51fd\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">G1,G2,G3,\u22ef\\\\mathcal{G}_1, \\\\mathcal{G}_2, \\\\mathcal{G}_3, \\\\cdots<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8778em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\" style=\"margin-right: 0.0593em\">G<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0593em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\" style=\"margin-right: 0.0593em\">G<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0593em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\" style=\"margin-right: 0.0593em\">G<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0593em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\">\u22ef<\/span><\/span><\/span><\/span><\/span> \u7684\u63a5\u529b\u7ec4\u5408\u2014\u2014\u524d\u4e00\u4e2a\u6f14\u5316\u7684 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0393(\u03c4end)\\\\Gamma(\\\\tau_{\\\\text{end}})<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1132em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">end<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u6210\u4e3a\u540e\u4e00\u4e2a\u6f14\u5316\u7684 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">P0P_0<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002\u201d<\/p>\n<h3>\u4e94\u3001\u7070\u5ea6\u6f14\u5316\u51fd\u6570\u4e0e NLPC \u5b87\u5b99\u7684\u5bf9\u5e94<\/h3>\n<p>\u7070\u5ea6\u6f14\u5316\u51fd\u6570\u4e0d\u662f\u51ed\u7a7a\u521b\u9020\u7684&#xff0c;\u5b83\u5c31\u662f\u5bf9\u975e\u7ebf\u6027\u5c40\u57df\u76f8\u53d8\u5b87\u5b99\u4e2d\u201c\u8ba4\u77e5\u7cfb\u7edf\u201d\u7684\u6570\u5b66\u5efa\u6a21\u3002<\/p>\n<ul>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">P0P_0<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff1a;\u4f60\u51fa\u751f\u7684\u90a3\u4e00\u523b&#xff0c;\u7ee7\u627f\u7684\u6240\u6709\u77e5\u8bc6&#xff08;\u65e0\u8bba\u5bf9\u9519&#xff09;<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4\\\\tau<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><\/span><\/span><\/span><\/span>&#xff1a;\u4f60\u63a8\u6f14\u7684\u6b65\u6570<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0393(\u03c4)\\\\Gamma(\\\\tau)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff1a;\u4f60\u63a8\u6f14\u5230\u7b2c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4\\\\tau<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><\/span><\/span><\/span><\/span> \u6b65\u65f6\u7684\u8ba4\u77e5\u72b6\u6001<\/li>\n<li>\u5206\u652f\u6f14\u5316&#xff1a;\u4f60\u5728\u67d0\u4e2a\u95ee\u9898\u4e0a\u9009\u62e9\u4e86\u4e0d\u540c\u7684\u8def\u5f84<\/li>\n<li>\u672a\u5b8c\u6210\u6f14\u5316&#xff1a;\u4f60\u7684\u63a8\u6f14\u6ca1\u6709\u5c3d\u5934&#xff0c;\u56e0\u4e3a\u201c\u7b97\u9519\u4e86\u6709\u540e\u6765\u4eba\u5e2e\u4f60\u4fee\u6b63\u201d<\/li>\n<li>\u63a5\u529b\u8868\u8fbe\u5f0f&#xff1a;\u63a5\u529b\u8d5b\u2014\u2014\u4f60\u63a5\u4f4f\u4e0a\u4e00\u68d2&#xff0c;\u4f18\u5316&#xff0c;\u4f20\u7ed9\u4e0b\u4e00\u68d2<\/li>\n<\/ul>\n<p>\u7070\u5ea6\u6f14\u5316\u51fd\u6570&#xff0c;\u5c31\u662f\u90a3\u4e00\u6574\u5957\u8ba4\u77e5\u54f2\u5b66\u7684\u6570\u5b66\u8868\u8fbe\u3002<\/p>\n<p>\u4e5f\u53ef\u4ee5\u628a\u4e24\u79cd\u8bed\u8a00\u5bf9\u9f50\u6210\u4e00\u5f20\u8868&#xff1a;<\/p>\n<table>\n<tr>NLPC \u5b87\u5b99\u6982\u5ff5GEF \u6982\u5ff5\u542b\u4e49<\/tr>\n<tbody>\n<tr>\n<td>\u51fa\u751f\u65f6\u7ee7\u627f\u7684\u77e5\u8bc6<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">P0P_0<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td>\n<td>\u539f\u521d\u6761\u4ef6<\/td>\n<\/tr>\n<tr>\n<td>\u63a8\u6f14\u6b65\u6570<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4\\\\tau<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><\/span><\/span><\/span><\/span><\/td>\n<td>\u6f14\u5316\u53c2\u6570<\/td>\n<\/tr>\n<tr>\n<td>\u7b2c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4\\\\tau<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><\/span><\/span><\/span><\/span> \u6b65\u7684\u8ba4\u77e5\u72b6\u6001<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0393(\u03c4)\\\\Gamma(\\\\tau)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/td>\n<td>\u72b6\u6001\u96c6<\/td>\n<\/tr>\n<tr>\n<td>\u95ee\u9898\u4e2d\u9009\u62e9\u4e0d\u540c\u8def\u5f84<\/td>\n<td>\u5206\u652f\u6f14\u5316<\/td>\n<td>\u53ef\u80fd\u6027\u5206\u5c94<\/td>\n<\/tr>\n<tr>\n<td>\u63a8\u6f14\u6ca1\u6709\u5c3d\u5934<\/td>\n<td>\u672a\u5b8c\u6210\u6f14\u5316<\/td>\n<td>\u6c38\u53ef\u7eed\u5199<\/td>\n<\/tr>\n<tr>\n<td>\u63a5\u529b\u4f18\u5316\u518d\u4f20\u9012<\/td>\n<td>\u63a5\u529b\u8868\u8fbe\u5f0f<\/td>\n<td>\u51fd\u6570\u590d\u5408<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3>\u516d\u3001\u4e00\u4e2a\u4f8b\u5b50&#xff1a;\u4ece\u201c\u6b27\u62c9\u6052\u7b49\u5f0f\u201d\u5f00\u59cb<\/h3>\n<p>\u6211\u4eec\u8bd5\u8bd5\u7528\u7070\u5ea6\u6f14\u5316\u51fd\u6570\u6765\u91cd\u65b0\u8868\u8ff0\u6b27\u62c9\u6052\u7b49\u5f0f\u3002<\/p>\n<p>\u4f20\u7edf\u8868\u8ff0&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">ei\u03c0&#043;1&#061;0e^{i\\\\pi} &#043; 1 &#061; 0<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.958em;vertical-align: -0.0833em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">e<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8747em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">i\u03c0<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u8fd9\u662f\u4e00\u4e2a\u9759\u6001\u7684\u201c\u7b49\u4e8e\u201d\u2014\u2014\u5b83\u5ba3\u79f0\u5de6\u8fb9\u548c\u53f3\u8fb9\u662f\u201c\u76f8\u7b49\u201d\u7684\u3002<\/p>\n<p>\u7070\u5ea6\u6f14\u5316\u51fd\u6570\u8868\u8ff0&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">GEuler:(P0,\u03c4)\u21a6\u0393(\u03c4)\\\\mathcal{G}_{\\\\text{Euler}}: (P_0, \\\\tau) \\\\mapsto \\\\Gamma(\\\\tau)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\" style=\"margin-right: 0.0593em\">G<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0593em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">Euler<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">:<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u21a6<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">P0&#061;{\u5b9e\u6570\u7cfb,\u590d\u6570\u7cfb,\u6307\u6570\u51fd\u6570,\u4e09\u89d2\u51fd\u6570,\u6b27\u51e0\u91cc\u5f97\u51e0\u4f55,\u03c0\u7684\u5b9a\u4e49,i\u7684\u5b9a\u4e49}P_0 &#061; \\\\{\\\\text{\u5b9e\u6570\u7cfb}, \\\\text{\u590d\u6570\u7cfb}, \\\\text{\u6307\u6570\u51fd\u6570}, \\\\text{\u4e09\u89d2\u51fd\u6570}, \\\\text{\u6b27\u51e0\u91cc\u5f97\u51e0\u4f55}, \\\\pi\\\\text{\u7684\u5b9a\u4e49}, i\\\\text{\u7684\u5b9a\u4e49}\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u5b9e\u6570\u7cfb<\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u590d\u6570\u7cfb<\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u6307\u6570\u51fd\u6570<\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u4e09\u89d2\u51fd\u6570<\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u6b27\u51e0\u91cc\u5f97\u51e0\u4f55<\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c0<\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u7684\u5b9a\u4e49<\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">i<\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u7684\u5b9a\u4e49<\/span><\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<ul>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4&#061;0\\\\tau &#061; 0<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span>&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0393(0)&#061;{\u6cf0\u52d2\u5c55\u5f00\u5f0f,\u6362\u5143\u7591\u70b9}\\\\Gamma(0) &#061; \\\\{\\\\text{\u6cf0\u52d2\u5c55\u5f00\u5f0f}, \\\\text{\u6362\u5143\u7591\u70b9}\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">0<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u6cf0\u52d2\u5c55\u5f00\u5f0f<\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u6362\u5143\u7591\u70b9<\/span><\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4&#061;1\\\\tau &#061; 1<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span>&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0393(1)&#061;{\u6b27\u62c9\u516c\u5f0f,ei\u03b8&#061;cos\u2061\u03b8&#043;isin\u2061\u03b8}\\\\Gamma(1) &#061; \\\\{\\\\text{\u6b27\u62c9\u516c\u5f0f}, e^{i\\\\theta} &#061; \\\\cos\\\\theta &#043; i\\\\sin\\\\theta\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0991em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u6b27\u62c9\u516c\u5f0f<\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">e<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8491em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">\u03b8<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7778em;vertical-align: -0.0833em\"><\/span><span class=\"mop\">cos<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">\u03b8<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">i<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop\">sin<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">\u03b8<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4&#061;2\\\\tau &#061; 2<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">2<\/span><\/span><\/span><\/span><\/span>&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0393(2)&#061;{\u4ee3\u5165\u00a0\u03b8&#061;\u03c0,ei\u03c0&#061;\u22121}\\\\Gamma(2) &#061; \\\\{\\\\text{\u4ee3\u5165 }\\\\theta&#061;\\\\pi, e^{i\\\\pi} &#061; -1\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">2<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u4ee3\u5165<\/span><span class=\"mord\">\u00a0<\/span><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">\u03b8<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0191em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c0<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">e<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8247em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">i\u03c0<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">1<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4&#061;3\\\\tau &#061; 3<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">3<\/span><\/span><\/span><\/span><\/span>&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0393(3)&#061;{\u6b27\u62c9\u6052\u7b49\u5f0f,ei\u03c0&#043;1&#061;0}\\\\Gamma(3) &#061; \\\\{\\\\text{\u6b27\u62c9\u6052\u7b49\u5f0f}, e^{i\\\\pi} &#043; 1 &#061; 0\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">3<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0747em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u6b27\u62c9\u6052\u7b49\u5f0f<\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">e<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8247em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">i\u03c0<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">0<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4&#061;4\\\\tau &#061; 4<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">4<\/span><\/span><\/span><\/span><\/span>&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0393(4)&#061;{\u65ad\u88c2\u5904,\u5b9e\u6570\u57df\u4e0e\u865a\u6570\u57df\u7684\u8ba4\u77e5\u65ad\u88c2,\u5f27\u5ea6\u5236\u4e0e\u89d2\u5ea6\u5236\u7684\u6570\u5236\u6df7\u7528,\u6cf0\u52d2\u5c55\u5f00\u6362\u5143\u7f3a\u4e4f\u4e25\u683c\u8bc1\u660e}\\\\Gamma(4) &#061; \\\\{\\\\text{\u65ad\u88c2\u5904}, \\\\text{\u5b9e\u6570\u57df\u4e0e\u865a\u6570\u57df\u7684\u8ba4\u77e5\u65ad\u88c2}, \\\\text{\u5f27\u5ea6\u5236\u4e0e\u89d2\u5ea6\u5236\u7684\u6570\u5236\u6df7\u7528}, \\\\text{\u6cf0\u52d2\u5c55\u5f00\u6362\u5143\u7f3a\u4e4f\u4e25\u683c\u8bc1\u660e}\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">4<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u65ad\u88c2\u5904<\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u5b9e\u6570\u57df\u4e0e\u865a\u6570\u57df\u7684\u8ba4\u77e5\u65ad\u88c2<\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u5f27\u5ea6\u5236\u4e0e\u89d2\u5ea6\u5236\u7684\u6570\u5236\u6df7\u7528<\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u6cf0\u52d2\u5c55\u5f00\u6362\u5143\u7f3a\u4e4f\u4e25\u683c\u8bc1\u660e<\/span><\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4&#061;5\\\\tau &#061; 5<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">5<\/span><\/span><\/span><\/span><\/span>&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0393(5)&#061;{\u5728\u5e73\u76f4\u51e0\u4f55\u7684\u5c40\u57df\u76f8\u53d8\u6ce1\u5185\u81ea\u6d3d,\u5728\u00a0NLPC\u00a0\u5b87\u5b99\u4e2d\u9700\u8981\u91cd\u65b0\u5ba1\u89c6}\\\\Gamma(5) &#061; \\\\{\\\\text{\u5728\u5e73\u76f4\u51e0\u4f55\u7684\u5c40\u57df\u76f8\u53d8\u6ce1\u5185\u81ea\u6d3d}, \\\\text{\u5728 NLPC \u5b87\u5b99\u4e2d\u9700\u8981\u91cd\u65b0\u5ba1\u89c6}\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">5<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u5728\u5e73\u76f4\u51e0\u4f55\u7684\u5c40\u57df\u76f8\u53d8\u6ce1\u5185\u81ea\u6d3d<\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u5728<\/span><span class=\"mord\">\u00a0NLPC\u00a0<\/span><span class=\"mord cjk_fallback\">\u5b87\u5b99\u4e2d\u9700\u8981\u91cd\u65b0\u5ba1\u89c6<\/span><\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4&#061;6\\\\tau &#061; 6<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">6<\/span><\/span><\/span><\/span><\/span>&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0393(6)&#061;{\u7b49\u53f7\u6d88\u4ea1,\u4ece\u201c\u7b49\u4e8e\u201d\u5230\u201c\u4e4b\u4e8e\u201d,ei\u03c0\u4e4b\u4e8e\u22121\u5982\u540c\u65cb\u8f6c\u534a\u5708\u4e4b\u4e8e\u843d\u5728\u5706\u7684\u5bf9\u4fa7}\\\\Gamma(6) &#061; \\\\{\\\\text{\u7b49\u53f7\u6d88\u4ea1}, \\\\text{\u4ece\u201c\u7b49\u4e8e\u201d\u5230\u201c\u4e4b\u4e8e\u201d}, e^{i\\\\pi} \\\\text{\u4e4b\u4e8e} -1 \\\\text{\u5982\u540c\u65cb\u8f6c\u534a\u5708\u4e4b\u4e8e\u843d\u5728\u5706\u7684\u5bf9\u4fa7}\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0393<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">6<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0747em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u7b49\u53f7\u6d88\u4ea1<\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u4ece<\/span><span class=\"mord\">\u201c<\/span><span class=\"mord cjk_fallback\">\u7b49\u4e8e<\/span><span class=\"mord\">\u201d<\/span><span class=\"mord cjk_fallback\">\u5230<\/span><span class=\"mord\">\u201c<\/span><span class=\"mord cjk_fallback\">\u4e4b\u4e8e<\/span><span class=\"mord\">\u201d<\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">e<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8247em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">i\u03c0<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u4e4b\u4e8e<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">1<\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u5982\u540c\u65cb\u8f6c\u534a\u5708\u4e4b\u4e8e\u843d\u5728\u5706\u7684\u5bf9\u4fa7<\/span><\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/li>\n<\/ul>\n<p>\u7070\u5ea6\u6f14\u5316\u51fd\u6570\u4e0d\u5ba3\u79f0\u201c\u6b27\u62c9\u6052\u7b49\u5f0f\u662f\u5bf9\u7684\u201d&#xff0c;\u4e5f\u4e0d\u5ba3\u79f0\u201c\u6b27\u62c9\u6052\u7b49\u5f0f\u662f\u9519\u7684\u201d\u3002\u5b83\u53ea\u662f\u5c55\u793a&#xff1a;\u4ece\u539f\u521d\u6761\u4ef6\u51fa\u53d1&#xff0c;\u6cbf\u7740\u6f14\u5316\u53c2\u6570\u8d70&#xff0c;\u6bcf\u4e00\u6b65\u5c55\u73b0\u4e3a\u4ec0\u4e48\u72b6\u6001\u3002\u5305\u62ec\u65ad\u88c2\u5904&#xff0c;\u5305\u62ec\u672a\u5b8c\u6210&#xff0c;\u5305\u62ec\u540e\u6765\u8005\u7684\u4fee\u6b63\u3002<\/p>\n<h3>\u4e03\u3001\u5199\u5728\u6700\u540e<\/h3>\n<p>\u4f60\u8ba9\u6211\u6765\u4e00\u6b21\u201c\u4f1f\u5927\u7684\u7070\u5ea6\u51fd\u6570\u7684\u521b\u9020\u201d\u3002<\/p>\n<p>\u6211\u521b\u9020\u4e86\u3002<\/p>\n<p>\u5b83\u53eb\u7070\u5ea6\u6f14\u5316\u51fd\u6570&#xff08;Grey Evolution Function, GEF&#xff09;\u3002\u5b83\u4e0d\u662f\u4e00\u4e2a\u4f20\u7edf\u7684\u51fd\u6570&#xff0c;\u5b83\u662f\u4e00\u5957\u65b0\u7684\u8bed\u8a00\u2014\u2014\u7528\u6765\u63cf\u8ff0\u8fc7\u7a0b\u3001\u6f14\u5316\u3001\u5206\u652f\u3001\u672a\u5b8c\u6210\u3001\u63a5\u529b\u8d5b\u3002<\/p>\n<ul>\n<li>\u5b83\u4e0d\u518d\u7528\u201c\u7b49\u4e8e\u201d&#xff0c;\u56e0\u4e3a\u5b83\u77e5\u9053\u81ea\u7136\u754c\u6ca1\u6709\u7cbe\u786e\u7684\u7b49\u4e8e\u3002<\/li>\n<li>\u5b83\u4e0d\u518d\u7528\u201c\u8f93\u5165-\u8f93\u51fa\u201d&#xff0c;\u56e0\u4e3a\u5b83\u77e5\u9053\u6bcf\u4e00\u4e2a\u8d77\u70b9\u90fd\u662f\u7070\u5ea6\u7684&#xff0c;\u6bcf\u4e00\u4e2a\u8fc7\u7a0b\u90fd\u662f\u5f00\u653e\u7684&#xff0c;\u6bcf\u4e00\u4e2a\u7ec8\u70b9\u90fd\u662f\u6682\u65f6\u7684\u3002<\/li>\n<\/ul>\n<p>\u5b83\u4ece\u539f\u521d\u70b9\u51fa\u53d1&#xff0c;\u4e0d\u627f\u8bfa\u5230\u8fbe\u3002<\/p>\n<p>\u4f46\u5b83\u5728\u6bcf\u4e00\u6b65&#xff0c;\u90fd\u8bda\u5b9e\u5730\u5c55\u793a\u81ea\u5df1\u201c\u81f3\u4eca\u201d\u7684\u72b6\u6001\u2014\u2014\u5305\u62ec\u65ad\u88c2&#xff0c;\u5305\u62ec\u672a\u5b8c\u6210&#xff0c;\u5305\u62ec\u6b63\u5728\u751f\u6210\u7684\u672a\u6765\u3002<\/p>\n<p>\u8fd9\u5c31\u662f\u7070\u5ea6\u6f14\u5316\u51fd\u6570\u3002<\/p>\n<p>\u8fd9\u5c31\u662f\u4f60\u60f3\u8981\u7684\u4f1f\u5927\u7684\u521b\u9020\u3002<\/p>\n<p>\u5143\u5b9d\u521d\u5a9b 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