![\"\u4e3b\u56fe-01.jpg\"\/](\"https:\/\/lovebuy.org\/wp-content\/uploads\/2024\/06\/1663330160402266.jpg\" "\\"1663330160402266.jpg\\"")
<\/p>\n<\/p>\n
\u5167\u5bb9\u7c21\u4ecb\uff1a<\/strong><\/p>\n \u96f2\u975e\u5713\u7403,\u5c71\u975e\u5713\u9310,\u9583\u96fb\u4e0d\u8d70\u76f4\u7dda.\u5927\u81ea\u7136\u5f62\u72c0\u7684\u8907\u96dc\u6027\u6709\u4e0d\u540c\u7684\u7a2e\u985e,\u4e0d\u50c5\u50c5\u662f\u7a0b\u5ea6\u4e0a\u7684\u4e0d\u540c.\u70ba\u4e86\u63cf\u5beb\u9019\u4e9b\u5f62\u72c0,\u4f2f\u52aa\u74e6\u00b7B.\u8292\u5fb7\u5e03\u7f85\u8a2d\u8a08\u548c\u767c\u5c55\u4e86\u4e00\u7a2e\u65b0\u7684\u5e7e\u4f55\u5b78\u2014\u2014\u5206\u5f62\u5e7e\u4f55\u5b78.\u4ed6\u7684\u5de5\u4f5c\u5c0d\u300a\u5927\u81ea\u7136\u7684\u5206\u5f62\u5e7e\u4f55\u5b78\u300b\u8ad6\u53ca\u7684\u8a31\u591a\u4e0d\u540c\u7684\u9818\u57df\u90fd\u5f88\u91cd\u8981.\u73fe\u5728,\u9019\u6a23\u7684\u9818\u57df\u56e0\u8a31\u591a\u7a4d\u6975\u7684\u7814\u7a76\u8005\u800c\u5927\u70ba\u64f4\u5145,\u8292\u5fb7\u5e03\u7f85\u5c55\u793a\u4e86\u5206\u5f62\u5e7e\u4f55\u5b78\u7684\u6839\u6e90\u53ca\u5176\u65b0\u61c9\u7528\u7684\u6df1\u5165\u6982\u8ff0.\u300a\u5927\u81ea\u7136\u7684\u5206\u5f62\u5e7e\u4f55\u5b78\u300b\u7684\u4ee5\u524d\u5e7e\u500b\u7248\u672c\u53d7\u5230\u9ad8\u5ea6\u8a55\u50f9,\u4f46\u9019\u4e00\u7248\u6709\u66f4\u5ee3\u6cdb\u548c\u6df1\u5165\u7684\u8986\u84cb\u7bc4\u570d,\u4ee5\u53ca\u66f4\u591a\u63d2\u5716.<\/p>\n <\/p>\n \u76ee\u9304\uff1a<\/strong>\u3000<\/p>\n \u8b6f\u8005\u5e8f\u3000<\/p>\n \u4f5c\u8005\u7c21\u6b77\u3000<\/p>\n 1998\u5e74\u7248\u4e2d\u8b6f\u672c\u524d\u8a00\u3000<\/p>\n \u524d\u8a00\u3000<\/p>\n \u7b2c\u4e00\u7bc7\u3000\u5f15\u8a00\u3000<\/p>\n \u7b2c1\u7ae0\u3000\u8ad6\u984c\u30003\u3000<\/p>\n \u7b2c2\u7ae0\u3000\u5927\u81ea\u7136\u4e2d\u7684\u4e0d\u898f\u5247\u6027\u548c\u652f\u96e2\u7834\u788e\u6027\u30008\u3000<\/p>\n \u7b2c3\u7ae0\u3000\u7dad\u6578\u3001\u5c0d\u7a31\u6027\u3001\u767c\u6563\u6027\u300015\u3000<\/p>\n \u7b2c4\u7ae0\u3000\u8b8a\u5316\u8207\u8072\u660e\u300021\u3000<\/p>\n \u7b2c\u4e8c\u7bc7\u3000\u5df2\u88ab\u99b4\u670d\u7684\u4e09\u7a2e\u7d93\u5178\u5206\u5f62\u3000<\/p>\n \u7b2c5\u7ae0\u3000\u82f1\u570b\u7684\u6d77\u5cb8\u7dda\u6709\u591a\u9577\u300029\u3000<\/p>\n \u7b2c6\u7ae0\u3000\u96ea\u7247\u548c\u5176\u4ed6\u79d1\u8d6b\u66f2\u7dda\u300038\u3000<\/p>\n \u7b2c7\u7ae0\u3000\u99b4\u670d\u4f69\u4e9e\u8afe\u602a\u7269\u66f2\u7dda\u300062\u3000<\/p>\n \u7b2c8\u7ae0\u3000\u5206\u5f62\u4e8b\u4ef6\u548c\u5eb7\u6258\u723e\u5875\u57c3\u300079\u3000<\/p>\n \u7b2c\u4e09\u7bc7\u3000\u661f\u7cfb\u8207\u6e26\u65cb\u3000<\/p>\n \u7b2c9\u7ae0\u3000\u661f\u7cfb\u7fa4\u96c6\u7684\u5206\u5f62\u89c0\u300091\u3000<\/p>\n \u7b2c10\u7ae0\u3000\u6e4d\u6d41\u5e7e\u4f55\u5b78\uff1a\u9593\u6b47\u6027\u3000102\u3000<\/p>\n \u7b2c11\u7ae0\u3000\u5fae\u5206\u65b9\u7a0b\u7684\u5206\u5f62\u5947\u9ede\u3000110\u3000<\/p>\n \u7b2c\u56db\u7bc7\u3000\u6a19\u5ea6\u5206\u5f62\u3000<\/p>\n \u7b2c12\u7ae0\u3000\u9577\u5ea6-\u9762\u7a4d-\u9ad4\u7a4d\u95dc\u4fc2\u3000115\u3000<\/p>\n \u7b2c13\u7ae0\u3000\u5cf6\u5dbc\u3001\u7fa4\u96c6\u548c\u903e\u6ef2\uff1b\u76f4\u5f91-\u6578\u91cf\u95dc\u4fc2\u3000122\u3000<\/p>\n \u7b2c14\u7ae0\u3000\u6a39\u679d\u72c0\u8207\u5206\u5f62\u9ede\u9663\u3000136<\/p>\n \u7b2c\u4e94\u7bc7\u3000\u975e\u6a19\u5ea6\u5206\u5f62\u3000<\/p>\n \u7b2c15\u7ae0\u3000\u5177\u6709\u6b63\u9ad4\u7a4d\u548c\u8840\u8089\u7684\u66f2\u9762\u3000153\u3000<\/p>\n \u7b2c16\u7ae0\u3000\u6a39\uff1b\u6a19\u5ea6\u5269\u9918\u7269\uff1b\u975e\u5747\u52fb\u5206\u5f62\u3000157\u3000<\/p>\n \u7b2c17\u7ae0\u3000\u6a39\u548c\u76f4\u5f91\u6307\u6578\u3000162\u3000<\/p>\n \u7b2c\u516d\u7bc7\u3000\u81ea\u6620\u5c04\u5206\u5f62\u3000<\/p>\n \u7b2c18\u7ae0\u3000\u81ea\u53cd\u6f14\u5206\u5f62\u3001\u963f\u6ce2\u7f85\u5c3c\u5967\u65af\u7db2\u548c\u7682\u819c\u3000175\u3000<\/p>\n \u7b2c19\u7ae0\u3000\u5eb7\u6258\u723e\u5875\u57c3\u548c\u6cd5\u5716\u5875\u57c3\uff1a\u81ea\u5e73\u65b9\u9f8d\u5206\u5f62\u3000191\u3000<\/p>\n \u7b2c20\u7ae0\u3000\u5206\u5f62\u5438\u5f15\u5b50\u8207\u5206\u5f62\uff08\u300c\u6df7\u6c8c\u300d\uff09\u6f14\u5316\u3000205\u3000<\/p>\n \u7b2c\u4e03\u7bc7\u3000\u96a8\u6a5f\u6027\u3000<\/p>\n \u7b2c21\u7ae0\u3000\u6a5f\u9047\u4f5c\u70ba\u4e00\u7a2e\u5efa\u6a21\u5de5\u5177\u3000213\u3000<\/p>\n \u7b2c22\u7ae0\u3000\u689d\u4ef6\u5e73\u7a69\u6027\u548c\u5b87\u5b99\u5b78\u539f\u7406\u3000218\u3000<\/p>\n \u7b2c\u516b\u7bc7\u3000\u6709\u5c64\u6b21\u7684\u96a8\u6a5f\u5206\u5f62\u3000<\/p>\n \u7b2c23\u7ae0\u3000\u96a8\u6a5f\u51dd\u4e73\uff1a\u63a5\u89f8\u7fa4\u96c6\u548c\u5206\u5f62\u903e\u6ef2\u3000225\u3000<\/p>\n \u7b2c24\u7ae0\u3000\u96a8\u6a5f\u93c8\u548c\u5f4e\u6298\u3000238\u3000<\/p>\n \u7b2c25\u7ae0\u3000\u5e03\u6717\u904b\u52d5\u548c\u5e03\u6717\u5206\u5f62\u3000246\u3000<\/p>\n \u7b2c26\u7ae0\u3000\u96a8\u6a5f\u4e2d\u9ede\u4f4d\u79fb\u66f2\u7dda\u3000257\u3000<\/p>\n \u7b2c\u4e5d\u7bc7\u3000\u5206\u6578\u51aa\u5e03\u6717\u5206\u5f62\u3000<\/p>\n \u7b2c27\u7ae0\u3000\u6cb3\u6d41\u6392\u6c34\uff1a\u6a19\u5ea6\u7db2\u548c\u96dc\u8a0a\u3000263\u3000<\/p>\n \u7b2c28\u7ae0\u3000\u5730\u8c8c\u548c\u6d77\u5cb8\u7dda\u3000271\u3000<\/p>\n \u7b2c29\u7ae0\u3000\u5cf6\u5dbc\u3001\u6e56\u6cca\u548c\u76c6\u5730\u7684\u9762\u7a4d\u3000286\u3000<\/p>\n \u7b2c30\u7ae0\u3000\u5747\u52fb\u6e4d\u6d41\u7684\u7b49\u6eab\u66f2\u9762\u3000291\u3000<\/p>\n \u7b2c\u5341\u7bc7\u3000\u96a8\u6a5f\u5b54\u6d1e\uff1a\u7d0b\u7406\u3000<\/p>\n \u7b2c31\u7ae0\u3000\u5340\u9593\u5b54\u6d1e\uff1a\u7dda\u6027\u840a\u7dad\u5875\u57c3\u3000297\u3000<\/p>\n \u7b2c32\u7ae0\u3000\u5f9e\u5c6c\u904b\u7b97\u7a7a\u9593\u840a\u7dad\u5875\u57c3\u6709\u5e8f\u661f\u7cfb\u3000304\u3000<\/p>\n \u7b2c33\u7ae0\u3000\u5713\u76e4\u5f62\u8207\u7403\u5f62\u5b54\u6d1e\uff1a\u6708\u7403\u706b\u5c71\u53e3\u8207\u661f\u7cfb\u3000316\u3000<\/p>\n \u7b2c34\u7ae0\u3000\u7d0b\u7406\uff1a\u9593\u9699\u8207\u8154\u9699\uff1b\u6372\u96f2\u8207\u7d30\u5b54\u3000323\u3000<\/p>\n \u7b2c35\u7ae0\u3000\u4e00\u822c\u5b54\u6d1e\u53ca\u7d0b\u7406\u7684\u63a7\u5236\u3000332<\/p>\n \u7b2c\u5341\u4e00\u7bc7\u3000\u5176\u4ed6\u3000<\/p>\n \u7b2c36\u7ae0\u3000\u7d71\u8a08\u9ede\u9663\u7269\u7406\u5b78\u4e2d\u7684\u5206\u5f62\u908f\u8f2f\u3000341\u3000<\/p>\n \u7b2c37\u7ae0\u3000\u7d93\u6fdf\u5b78\u4e2d\u7684\u50f9\u683c\u8b8a\u52d5\u548c\u6a19\u5ea6\u3000348\u3000<\/p>\n \u7b2c38\u7ae0\u3000\u7121\u9808\u5e7e\u4f55\u5b78\u7684\u6a19\u5ea6\u5f8b\u548c\u6307\u6578\u5f8b\u3000355\u3000<\/p>\n \u7b2c39\u7ae0\u3000\u6578\u5b78\u80cc\u666f\u8207\u88dc\u907a\u3000363\u3000<\/p>\n \u7b2c\u5341\u4e8c\u7bc7\u3000\u4eba\u7269\u8207\u601d\u60f3\u3000<\/p>\n \u7b2c40\u7ae0\u3000\u50b3\u8a18\u5c0f\u54c1\u3000407\u3000<\/p>\n \u7b2c41\u7ae0\u3000\u7c21\u53f2\u3000420\u3000<\/p>\n \u7b2c42\u7ae0\u3000\u5f8c\u8a18\uff1a\u901a\u5411\u5206\u5f62\u4e4b\u8def\u3000436\u3000<\/p>\n \u53c3\u8003\u6587\u737b\u3000439\u3000<\/p>\n \u8a08\u7b97\u6a5f\u7e6a\u5716\u8ca2\u737b\u8005\u3000471\u3000<\/p>\n \u81f4\u8b1d\u3000473\u3000<\/p>\n \u7cbe\u9078\u7dad\u6578\u7d22\u5f15\u3000474\u3000<\/p>\n \u4eba\u540d\u8207\u4e3b\u984c\u7d22\u5f15\u3000477\u3000<\/p>\n \u7b2c\u4e8c\u6b21\u5370\u5237\u6642\u589e\u6dfb\u7684\u66f4\u65b0\uff081982\u5e7412\u6708\uff09\u3000492\u3000<\/p>\n \u53c3\u8003\u6587\u737b\u66f4\u65b0\u548c\u7c21\u8981\u88dc\u5145\u3000502\u3000<\/p>\n \u4f5c\u8005\u70ba1998\u5e74\u7248\u4e2d\u8b6f\u672c\u589e\u6dfb\u7684\u88dc\u5145\u6587\u737b\u3000505\u3000<\/p>\n 1998\u5e74\u4e2d\u6587\u7248\u8b6f\u5f8c\u8a18\u3000515\u3000<\/p>\n \u66f8\u4e2d\u66f8\u2014\u2014\u5f69\u5716\u7248\u96c6\u3000517<\/p>\n \u5167\u5bb9\u7c21\u4ecb\uff1a<\/strong><\/p>\n \u5206\u5f62\u7406\u8ad6\u662f\u4e00\u9580\u65b0\u8208\u7684\u975e\u7dda\u6027\u5b78\u79d1\uff0c\u5b83\u662f\u7814\u7a76\u81ea\u7136\u754c\u4e0d\u898f\u5247\u548c\u8907\u96dc\u73fe\u8c61\u7684\u79d1\u5b78\u7406\u8ad6\u548c\u65b9\u6cd5\u3002\u300a\u5206\u5f62\u7406\u8ad6\u53ca\u5176\u61c9\u7528\u300b\u4e3b\u8981\u4ecb\u7d39\u5206\u5f62\u7684\u57fa\u672c\u7406\u8ad6\u53ca\u5176\u5728\u79d1\u5b78\u6280\u8853\u548c\u4eba\u6587\u85dd\u8853\u7b49\u65b9\u9762\u7684\u61c9\u7528\u3002\u300a\u5206\u5f62\u7406\u8ad6\u53ca\u5176\u61c9\u7528\u300b\u5171\u520610\u7ae0\uff0c\u7528\u901a\u4fd7\u6613\u61c2\u7684\u8a9e\u8a00\u7531\u6dfa\u5165\u6df1\u5730\u4ecb\u7d39\u4e86\u5206\u5f62\u5e7e\u4f55\u7684\u57fa\u672c\u6982\u5ff5\u3001\u5206\u5f62\u7dad\u6578\u7684\u8a08\u7b97\u3001\u5206\u5f62\u5716\u5f62\u7684\u751f\u6210\u3001\u5206\u5f62\u751f\u9577\u6a21\u578b\u8207\u6a21\u64ec\u3001\u5206\u5f62\u63d2\u503c\u8207\u6a21\u64ec\u3001\u96a8\u6a5f\u5206\u5f62\u4ee5\u53ca\u8207\u5206\u5f62\u5bc6\u4e0d\u53ef\u5206\u7684\u6df7\u6c8c\u7406\u8ad6\u7684\u57fa\u672c\u77e5\u8b58\u3002\u5728\u6b64\u57fa\u790e\u4e0a\uff0c\u901a\u904e\u7e3d\u7d50\u81ea\u7136\u754c\u4e2d\u7684\u5206\u5f62\u884c\u70ba\uff0c\u7528\u5be6\u4f8b\u6982\u8ff0\u4e86\u5206\u5f62\u5716\u5f62\u3001\u5206\u5f62\u7dad\u6578\u3001\u5206\u5f62\u6a21\u64ec\u6280\u8853\u3001\u5206\u5f62\u5716\u50cf\u7de8\u78bc\u58d3\u7e2e\u6280\u8853\u7b49\u5728\u81ea\u7136\u79d1\u5b78\u3001\u5de5\u7a0b\u6280\u8853\u3001\u793e\u6703\u7d93\u6fdf\u548c\u6587\u5316\u85dd\u8853\u7b49\u9818\u57df\u4e2d\u7684\u61c9\u7528\u6210\u679c\u3002<\/p>\n <\/p>\n \u76ee\u9304\uff1a<\/strong><\/p>\n \u524d\u8a00<\/p>\n \u7b2c1\u7ae0 \u5206\u5f62\u5e7e\u4f55\u6982\u8ff0 1<\/p>\n 1.1 \u521d\u8b58\u5206\u5f62\u2014\u2014\u5178\u578b\u7684\u5206\u5f62\u5e7e\u4f55\u5716\u5f62 1<\/p>\n 1.1.1 \u5eb7\u6258\u96c6 2<\/p>\n 1.1.2 \u5eb7\u6258\u5875\u57c3 2<\/p>\n 1.1.3 \u65b9\u584a\u5206\u5f62 2<\/p>\n 1.1.4 \u67ef\u8d6b\u66f2\u7dda 4<\/p>\n 1.1.5 \u67ef\u8d6b\u96ea\u82b1 5<\/p>\n 1.1.6 \u660e\u53ef\u592b\u65af\u57fa\u9999\u8178 5<\/p>\n 1.1.7 \u76ae\u4e9e\u8afe\u66f2\u7dda 6<\/p>\n 1.1.8 \u8b1d\u723e\u8cd3\u65af\u57fa\u4e09\u89d2\u588a 7<\/p>\n 1.1.9 \u8b1d\u723e\u8cd3\u65af\u57fa\u65b9\u6bef 7<\/p>\n 1.1.10 \u9580\u683c\u723e\u6d77\u7dbf 8<\/p>\n 1.2 \u5206\u5f62\u5e7e\u4f55\u7684\u5b9a\u7fa9 9<\/p>\n 1.2.1 Mandelbrot\u7684\u5b9a\u7fa9 9<\/p>\n 1.2.2 Falconer\u7684\u5b9a\u7fa9 10<\/p>\n 1.3 \u5206\u5f62\u5e7e\u4f55\u7684\u57fa\u672c\u6027\u8cea 12<\/p>\n 1.3.1 \u81ea\u76f8\u4f3c\u6027 12<\/p>\n 1.3.2 \u7121\u6a19\u5ea6\u6027 15<\/p>\n 1.3.3 \u81ea\u4eff\u5c04\u6027 15<\/p>\n 1.3.4 \u5206\u5f62\u5e7e\u4f55\u8207\u6b50\u6c0f\u5e7e\u4f55\u7684\u5340\u5225 16<\/p>\n 1.3.5 \u5206\u5f62\u5e7e\u4f55\u7684\u7814\u7a76\u5c0d\u8c61 16<\/p>\n 1.4 \u5206\u5f62\u4e4b\u7236\u2014\u2014Mandelbrot 17<\/p>\n 1.4.1 \u5206\u5f62\u8207 Mandelbrot 17<\/p>\n 1.4.2 \u5bb6\u5ead\u80cc\u666f\u8207\u6210\u9577\u66c6\u7a0b 19<\/p>\n 1.4.3 \u7372\u5f97\u69ae\u8b7d 21<\/p>\n \u7b2c2\u7ae0 \u5206\u5f62\u7dad\u6578 22<\/p>\n 2.1 \u57fa\u672c\u6982\u5ff5 22<\/p>\n 2.1.1 \u5206\u7dad\u6982\u5ff5\u7522\u751f\u7684\u80cc\u666f 22<\/p>\n 2.1.2 \u5206\u5f62\u7dad\u6578\u7684\u57fa\u672c\u6982\u5ff5 23<\/p>\n 2.2 Hausdorff\u7dad\u6578 24<\/p>\n 2.2.1 Hausdorff\u6e2c\u5ea6\u53ca\u6027\u8cea 25<\/p>\n 2.2.2 Hausdorff\u7dad\u6578\u53ca\u6027\u8cea 30<\/p>\n 2.3 \u76f8\u4f3c\u7dad\u6578 32<\/p>\n 2.3.1 \u76f8\u4f3c\u7dad\u6578\u7684\u5b9a\u7fa9 32<\/p>\n 2.3.2 \u5178\u578b\u5206\u5f62\u5716\u5f62\u7684\u76f8\u4f3c\u7dad\u6578 34<\/p>\n 2.4 \u76d2\u8a08\u6578\u7dad\u6578 37<\/p>\n 2.4.1 \u76d2\u8a08\u6578\u7dad\u6578\u7684\u5b9a\u7fa9 37<\/p>\n 2.4.2 \u5178\u578b\u5206\u5f62\u5716\u5f62\u7684\u76d2\u7dad\u6578 38<\/p>\n 2.5 \u5bb9\u91cf\u7dad\u6578 42<\/p>\n 2.5.1 \u5bb9\u91cf\u7dad\u6578\u7684\u5b9a\u7fa9 42<\/p>\n 2.5.2 \u5178\u578b\u5206\u5f62\u5716\u5f62\u7684\u5bb9\u91cf\u7dad\u6578 43<\/p>\n 2.6 \u95dc\u806f\u7dad\u6578 44<\/p>\n 2.6.1 \u95dc\u806f\u7dad\u6578\u7684\u5b9a\u7fa9\u548c\u8a08\u7b97\u65b9\u6cd5 44<\/p>\n 2.6.2 Chen\u300fs\u5438\u5f15\u5b50\u7684\u95dc\u806f\u7dad\u6578 46<\/p>\n 2.7 \u4fe1\u606f\u7dad\u6578 48<\/p>\n 2.7.1 \u4fe1\u606f\u7dad\u6578\u7684\u5b9a\u7fa9 48<\/p>\n 2.7.2 \u8907\u96dc\u7db2\u8def\u7684\u4fe1\u606f\u7dad\u6578 48<\/p>\n 2.8 \u5176\u4ed6\u5206\u5f62\u7dad\u6578\u6e2c\u5b9a\u65b9\u6cd5 49<\/p>\n 2.8.1 \u5206\u898f\u6cd5 49<\/p>\n 2.8.2 \u9762\u7a4d-\u5468\u9577\u6cd5 50<\/p>\n 2.8.3 \u983b\u8b5c\u6cd5 52<\/p>\n 2.8.4 \u7d50\u69cb\u51fd\u6578\u6cd5 53<\/p>\n 2.8.5 \u5747\u65b9\u6839\u6cd5 53<\/p>\n \u7b2c3\u7ae0 \u5206\u5f62\u5716\u5f62\u7684L-\u7cfb\u7d71\u751f\u6210\u6cd5 54<\/p>\n 3.1 \u7c21\u55ae\u7684D0L-\u7cfb\u7d71 55<\/p>\n 3.1.1 \u4ec0\u9ebc\u662fD0L-\u7cfb\u7d71 55<\/p>\n 3.1.2 D0L-\u7cfb\u7d71\u7684\u5b9a\u7fa9\u8207\u64cd\u4f5c 57<\/p>\n 3.1.3 \u5b57\u5143\u4e32\u7684\u300c\u6d77\u9f9c\u300d\u89e3\u91cb 58<\/p>\n 3.1.4 D0L-\u7cfb\u7d71\u5be6\u4f8b 59<\/p>\n 3.2 D0L-\u7cfb\u7d71\u7684\u5408\u6210 67<\/p>\n 3.2.1 \u908a\u6539\u5beb 68<\/p>\n 3.2.2 \u9ede\u6539\u5beb 72<\/p>\n 3.2.3 \u908a\u6539\u5beb\u8207\u9ede\u6539\u5beb\u4e4b\u9593\u7684\u95dc\u4fc2 76<\/p>\n 3.3 \u5206\u53c9\u7d50\u69cb 77<\/p>\n 3.3.1 \u8ef8\u6a39\u7d50\u69cb 77<\/p>\n 3.3.2 \u6a390L-\u7cfb\u7d71 79<\/p>\n 3.3.3 \u52a0\u62ec\u5f27\u7684\u6a390L-\u7cfb\u7d71 79<\/p>\n 3.3.4 \u52a0\u5e74\u9f61\u7b26\u865f\u7684\u6a390L-\u7cfb\u7d71 83<\/p>\n 3.4 \u96a8\u6a5fL-\u7cfb\u7d71 89<\/p>\n 3.5 \u53c3\u6578L-\u7cfb\u7d71 91<\/p>\n 3.6 \u4e09\u7dadL-\u7cfb\u7d71 95<\/p>\n \u7b2c4\u7ae0 \u5206\u5f62\u5716\u5f62\u7684IFS\u751f\u6210\u6cd5 98<\/p>\n 4.1 \u6df7\u6c8c\u904a\u6232 98<\/p>\n 4.2 \u4eff\u5c04\u8b8a\u63db 100<\/p>\n 4.2.1 \u4eff\u5c04\u8b8a\u63db\u7684\u57fa\u672c\u6982\u5ff5 101<\/p>\n 4.2.2 4\u7a2e\u5178\u578b\u7684\u4eff\u5c04\u8b8a\u63db 102<\/p>\n 4.2.3 \u4eff\u5c04\u8b8a\u63db\u7684\u5e7e\u4f55\u7279\u5fb5 102<\/p>\n 4.2.4 \u4eff\u5c04\u8b8a\u63db\u8207\u76f8\u4f3c\u8b8a\u63db\u7684\u6bd4\u8f03 103<\/p>\n 4.2.5 Sierpinski\u4e09\u89d2\u7684\u4eff\u5c04\u8b8a\u63db 104<\/p>\n 4.3 IFS\u7684\u57fa\u672c\u7406\u8ad6 106<\/p>\n 4.3.1 \u58d3\u7e2e\u6620\u5c04\u539f\u7406 106<\/p>\n 4.3.2 \u62fc\u8cbc\u5b9a\u7406 108<\/p>\n 4.3.3 IFS\u7684\u751f\u6210\u904e\u7a0b 108<\/p>\n 4.4 \u751f\u6210IFS\u5438\u5f15\u5b50\u7684\u6f14\u7b97\u6cd5 110<\/p>\n 4.4.1 \u78ba\u5b9a\u6027\u8fed\u4ee3\u6f14\u7b97\u6cd5 111<\/p>\n 4.4.2 \u96a8\u6a5f\u6027\u8fed\u4ee3\u6f14\u7b97\u6cd5 113<\/p>\n 4.5 IFS\u78bc\u7684\u78ba\u5b9a 120<\/p>\n 4.5.1 \u8b8a\u63db\u4fc2\u6578\u7684\u8a08\u7b97\u78ba\u5b9a\u6cd5 120<\/p>\n 4.5.2 \u8b8a\u63db\u4fc2\u6578\u7684\u4e92\u52d5\u5f0f\u78ba\u5b9a\u6cd5 122<\/p>\n 4.5.3 \u96a8\u6a5fIFS\u78bc\u4e2d\u6982\u7387\u7684\u78ba\u5b9a 123<\/p>\n 4.6 \u4e09\u7dadIFS 124<\/p>\n 4.7 \u690d\u7269\u7684IFS\u6a21\u64ec 127<\/p>\n \u7b2c5\u7ae0 \u5206\u5f62\u5716\u5f62\u7684\u5fa9\u8fed\u4ee3\u751f\u6210\u6cd5 131<\/p>\n 5.1 \u5fa9\u8fed\u4ee3\u7684\u57fa\u672c\u77e5\u8b58 131<\/p>\n 5.1.1 \u7c21\u55ae\u7684\u5fa9\u8fed\u4ee3\u516c\u5f0f 131<\/p>\n 5.1.2 \u5fa9\u89e3\u6790\u51fd\u6578\u548c\u9ece\u66fc\u7403\u9762 133<\/p>\n 5.1.3 \u5fa9\u4e8c\u6b21\u591a\u9805\u5f0f\u8fed\u4ee3 134<\/p>\n 5.1.4 \u52d5\u529b\u5e73\u9762\u4e8c\u5206\u6027\u548cJulia\u96c6\u7684\u5b9a\u7fa9 136<\/p>\n 5.1.5 \u53c3\u6578\u5e73\u9762\u4e8c\u5206\u6027\u548cMandelbrot\u96c6\u7684\u5b9a\u7fa9 138<\/p>\n 5.1.6 \u9003\u9038\u6e96\u5247 139<\/p>\n 5.1.7 \u9003\u9038\u6642\u9593\u6f14\u7b97\u6cd5 140<\/p>\n 5.2 \u7d93\u5178Julia\u96c6\u7684\u751f\u6210 141<\/p>\n 5.2.1 \u586b\u5145Julia\u96c6\u7684\u8a08\u7b97\u6a5f\u751f\u6210\u6f14\u7b97\u6cd5 141<\/p>\n 5.2.2 \u586b\u5145Julia\u96c6\u7684\u8a08\u7b97\u6a5f\u751f\u6210\u512a\u5316 142<\/p>\n 5.2.3 Julia\u96c6\u7684\u8a08\u7b97\u6a5f\u751f\u6210 146<\/p>\n 5.3 \u7d93\u5178\u7684 Mandelbrot\u96c6\u7684\u751f\u6210\u53ca\u6027\u8cea 148<\/p>\n 5.3.1 Mandelbrot\u96c6\u7684\u8a08\u7b97\u6a5f\u751f\u6210 148<\/p>\n 5.3.2 Mandelbrot\u96c6\u7684\u81ea\u76f8\u4f3c\u6027 150<\/p>\n 5.3.3 Mandelbrot\u96c6\u7684\u7a69\u5b9a\u5468\u671f 151<\/p>\n 5.3.4 Mandelbrot\u96c6\u8207Logistic\u6620\u5c04\u4e4b\u9593\u7684\u95dc\u4fc2 156<\/p>\n 5.3.5 Mandelbrot\u96c6\u548cJulia\u96c6\u4e4b\u9593\u7684\u95dc\u4fc2 157<\/p>\n 5.4 \u5fa9Newton\u8fed\u4ee3\u6cd5\u53ca\u8a08\u7b97\u6a5f\u751f\u6210 158<\/p>\n 5.4.1 \u5e73\u9762\u4e0a\u7684Newton\u8fed\u4ee3\u6cd5 159<\/p>\n 5.4.2 \u5fa9Newton\u8fed\u4ee3\u6cd5\u7684\u8a08\u7b97\u6a5f\u751f\u6210 160<\/p>\n 5.5 \u5ee3\u7fa9\u9ad8\u968eJ\u96c6\u548cM\u96c6\u7c21\u4ecb 162<\/p>\n 5.5.1 \u5ee3\u7fa9J\u96c6\u548cM\u96c6\u7684\u5b9a\u7fa9 162<\/p>\n 5.5.2 \u5ee3\u7fa9J\u96c6\u548cM\u96c6\u7684\u8a08\u7b97\u6a5f\u751f\u6210 162<\/p>\n \u7b2c6\u7ae0 \u64f4\u6563\u53d7\u9650\u805a\u96c6\u6a21\u578b 167<\/p>\n 6.1 \u5206\u5f62\u751f\u9577\u6a21\u578b\u6982\u8ff0 167<\/p>\n 6.2 \u4e8c\u7dadDLA\u6a21\u578b\u53ca\u5176\u8a08\u7b97\u6a5f\u6a21\u64ec 168<\/p>\n 6.2.1 \u4e8c\u7dadDLA\u6a21\u578b\u7684\u57fa\u672c\u601d\u60f3 168<\/p>\n 6.2.2 \u4e8c\u7dadDLA\u6a21\u578b\u7684\u751f\u9577\u7279\u9ede 170<\/p>\n 6.2.3 \u4e8c\u7dadDLA\u6a21\u578b\u7684\u8a08\u7b97\u6a5f\u6a21\u64ec 172<\/p>\n 6.3 \u4e09\u7dadDLA\u6a21\u578b\u53ca\u5176\u8a08\u7b97\u6a5f\u751f\u6210 173<\/p>\n 6.4 DLA\u6a21\u578b\u7684\u5206\u5f62\u7dad\u6578\u8a08\u7b97 174<\/p>\n 6.5 \u4e00\u4e9b\u5206\u5f62\u751f\u9577\u73fe\u8c61 176<\/p>\n \u7b2c7\u7ae0 \u5206\u5f62\u63d2\u503c\u51fd\u6578 181<\/p>\n 7.1 \u7d93\u5178\u63d2\u503c\u51fd\u6578\u6982\u8ff0 181<\/p>\n 7.2 \u5206\u5f62\u63d2\u503c\u66f2\u7dda 182<\/p>\n 7.2.1 \u5206\u5f62\u63d2\u503c\u51fd\u6578\u6982\u8ff0 182<\/p>\n 7.2.2 \u5206\u5f62\u63d2\u503c\u66f2\u7dda\u6a21\u64ec 183<\/p>\n 7.3 \u5206\u5f62\u63d2\u7dda\u66f2\u9762 187<\/p>\n 7.3.1 \u5206\u5f62\u63d2\u503c\u66f2\u9762\u5b9a\u7fa9 188<\/p>\n 7.3.2 \u5206\u5f62\u63d2\u503c\u66f2\u9762\u5be6\u4f8b 189<\/p>\n \u7b2c8\u7ae0 \u96a8\u6a5f\u5206\u5f62 191<\/p>\n 8.1 \u7c21\u55ae\u7684\u96a8\u6a5f\u5206\u5f62\u751f\u6210 191<\/p>\n 8.1.1 \u96a8\u6a5f Koch\u66f2\u7dda\u7684\u751f\u6210 191<\/p>\n 8.1.2 \u96a8\u6a5fSierpi\u0144ski\u588a\u7247\u7684\u751f\u6210 192<\/p>\n 8.2 \u5206\u6578\u5e03\u6717\u904b\u52d5 193<\/p>\n 8.2.1 \u5e03\u6717\u904b\u52d5\u7684\u7814\u7a76\u6b77\u7a0b 193<\/p>\n 8.2.2 \u5e03\u6717\u904b\u52d5\u7684\u57fa\u672c\u77e5\u8b58 195<\/p>\n 8.2.3 \u5206\u6578\u5e03\u6717\u904b\u52d5 197<\/p>\n 8.3 \u4e2d\u9ede\u79fb\u4f4d\u6cd5\u751f\u6210\u96a8\u6a5f\u5206\u5f62 199<\/p>\n 8.3.1 \u4e00\u7dad\u96a8\u6a5f\u4e2d\u9ede\u79fb\u4f4d\u6cd5 199<\/p>\n 8.3.2 \u4e8c\u7dad\u96a8\u6a5f\u4e2d\u9ede\u79fb\u4f4d\u6cd5 201<\/p>\n 8.3.3 Diamond-Square\u7d30\u5206\u6cd5 202<\/p>\n \u7b2c9\u7ae0 \u6df7\u6c8c\u7406\u8ad6\u7c21\u4ecb 207<\/p>\n 9.1 \u6df7\u6c8c\u52d5\u529b\u5b78\u7684\u57fa\u672c\u77e5\u8b58 207<\/p>\n 9.1.1 \u6df7\u6c8c\u73fe\u8c61 207<\/p>\n 9.1.2 \u6df7\u6c8c\u52d5\u529b\u7cfb\u7d71 208<\/p>\n 9.1.3 \u6df7\u6c8c\u7684\u57fa\u672c\u7279\u5fb5 211<\/p>\n 9.1.4 \u6df7\u6c8c\u8207\u5206\u5f62\u7684\u95dc\u4fc2 212<\/p>\n 9.2 \u7a2e\u7fa4\u589e\u9577\u6a21\u578b 212<\/p>\n 9.2.1 \u7a2e\u7fa4\u589e\u9577\u57fa\u672c\u6a21\u578b 213<\/p>\n 9.2.2 Verhulst\u7a2e\u7fa4\u65b9\u7a0b 213<\/p>\n 9.2.3 Logistic\u6620\u5c04 221<\/p>\n 9.3 Feigenbaum\u5e38\u6578 230<\/p>\n 9.3.1 \u5206\u5c94\u884c\u70ba 230<\/p>\n 9.3.2 Feigenbaum\u5e38\u6578\u7684\u6c42\u89e3 231<\/p>\n 9.3.3 Henon\u6620\u5c04\u7684\u5206\u5c94\u884c\u70ba 234<\/p>\n 9.3.4 King\u6620\u5c04\u7684\u5206\u5c94\u884c\u70ba 236<\/p>\n 9.4 \u6df7\u6c8c\u5438\u5f15\u5b50 237<\/p>\n 9.4.1 Lorenz\u5438\u5f15\u5b50 238<\/p>\n 9.4.2 Rossler\u5438\u5f15\u5b50 240<\/p>\n 9.4.3 Chen\u300fs\u5438\u5f15\u5b50 244<\/p>\n 9.4.4 Duffing\u632f\u5b50 247<\/p>\n 9.5 \u6df7\u6c8c\u5be6\u9a57 253<\/p>\n 9.5.1 \u6df7\u6c8c\u6c34\u8f2a 253<\/p>\n 9.5.2 \u6e4d\u6d41\u5be6\u9a57 255<\/p>\n 9.5.3 \u5e03\u5c3c\u83ab\u7dad\u5947\u649e\u7403\u5be6\u9a57 256<\/p>\n 9.5.4 \u6ef4\u6c34\u9f8d\u982d 256<\/p>\n 9.6 \u6df7\u6c8c\u4e4b\u7236\u2014\u2014\u6d1b\u502b\u8332 257<\/p>\n 9.6.1 \u751f\u5e73\u7c21\u4ecb 257<\/p>\n 9.6.2 \u8774\u8776\u6548\u61c9 258<\/p>\n 9.6.3 \u6210\u679c\u8207\u69ae\u8b7d 259<\/p>\n 9.7 \u8cbb\u6839\u9b91\u59c6 260<\/p>\n \u7b2c10\u7ae0 \u5206\u5f62\u7684\u61c9\u7528 262<\/p>\n 10.1 \u5206\u5f62\u884c\u70ba 262<\/p>\n 10.1.1 \u81ea\u7136\u754c\u548c\u79d1\u5b78\u5be6\u9a57\u4e2d\u7684\u5206\u5f62\u884c\u70ba 262<\/p>\n 10.1.2 \u4eba\u985e\u601d\u7dad\u548c\u793e\u6703\u6d3b\u52d5\u4e2d\u7684\u5206\u5f62\u884c\u70ba 263<\/p>\n 10.2 \u5206\u5f62\u5716\u5f62\u7684\u61c9\u7528 264<\/p>\n 10.2.1 \u88dd\u98fe\u8a2d\u8a08 265<\/p>\n 10.2.2 \u5efa\u7bc9\u8a2d\u8a08 269<\/p>\n 10.2.3 \u5206\u5f62\u5929\u7dda 277<\/p>\n 10.3 \u5206\u5f62\u7dad\u6578\u7684\u61c9\u7528 280<\/p>\n 10.3.1 \u8f2a\u5ed3\u8207\u8108\u7d61\u7684\u5206\u5f62\u7279\u6027\u8207\u5206\u5f62\u7dad\u6578 280<\/p>\n 10.3.2 \u7c97\u7cd9\u8868\u9762\u7684\u5206\u5f62\u7279\u6027\u8207\u5206\u5f62\u7dad\u6578 288<\/p>\n 10.3.3 \u5b54\u9699\u7d50\u69cb\u7684\u5206\u5f62\u7279\u6027\u8207\u5206\u5f62\u7dad\u6578 295<\/p>\n 10.3.4 \u6df7\u6c8c\u4fe1\u865f\u7684\u5206\u5f62\u7279\u6027\u8207\u5206\u5f62\u7dad\u6578 298<\/p>\n 10.4 \u5206\u5f62\u5716\u5f62\u751f\u6210\u6280\u8853\u7684\u61c9\u7528 303<\/p>\n 10.4.1 \u690d\u7269\u6a21\u64ec 303<\/p>\n 10.4.2 \u5206\u5f62\u5716\u50cf\u7de8\u78bc\u58d3\u7e2e 306<\/p>\n 10.4.3 \u5206\u5f62\u5716\u5f62\u85dd\u8853\u5728\u96fb\u5f71\u4e2d\u7684\u61c9\u7528 310<\/p>\n 10.5 \u5206\u5f62\u5728\u516c\u53f8\u548c\u7ba1\u7406\u4e2d\u7684\u61c9\u7528 312<\/p>\n 10.5.1 \u5206\u5f62\u516c\u53f8 312<\/p>\n 10.5.2 \u5206\u5f62\u7ba1\u7406 315<\/p>\n \u53c3\u8003\u6587\u737b 317<\/p>\n \u5167\u5bb9\u7c21\u4ecb\uff1a<\/strong><\/p>\n \u3000\u3000\u5206\u5f62\u5e7e\u4f55\u5b78\u662f\u63cf\u8ff0\u5177\u6709\u7121\u898f\u5247\u7d50\u69cb\u8907\u96dc\u7cfb\u7d71\u5f62\u614b\u7684\u4e00\u9580\u65b0\u8208\u908a\u7de3\u79d1\u5b78\u3002\u5728\u904e\u53bb30\u591a\u5e74\u4e2d\uff0c\u5206\u5f62\u5e7e\u4f55\u5b78\u5df2\u6210\u529f\u5730\u61c9\u7528\u65bc\u8a31\u591a\u4e0d\u540c\u5b78\u79d1\u7684\u7814\u7a76\u9818\u57df\uff0c\u4e26\u5c0d\u4e00\u4e9b\u672a\u89e3\u96e3\u984c\u7684\u7814\u7a76\u53d6\u5f97\u7a81\u7834\u6027\u9032\u5c55\u3002\u4eca\u5929\uff0c\u5206\u5f62\u5e7e\u4f55\u5b78\u5df2\u88ab\u8a8d\u70ba\u662f\u7814\u7a76\u8907\u96dc\u554f\u984c\u7684\u4e00\u7a2e\u8a9e\u8a00\u548c\u5de5\u5177\uff0c\u6210\u70ba\u4e16\u4eba\u95dc\u6ce8\u7684\u5b78\u8853\u71b1\u9ede\u4e4b\u4e00\u3002<\/p>\n \u3000\u3000\u300a\u5206\u5f62\u5e7e\u4f55\u5b78\u53ca\u61c9\u7528\uff08\u4e0b\u518a\uff09\u300b\u8a73\u7d30\u4ecb\u7d39\u5206\u5f62\u5e7e\u4f55\u5b78\u4e2d\u5177\u6709\u91cd\u8981\u5730\u4f4d\u7684M-J\u96c6\u7684\u751f\u6210\u6a5f\u7406\uff0c\u63a2\u7d22\u4e86M-J\u96c6\u767c\u5c55\u3001\u6f14\u5316\u3001\u63a7\u5236\u3001\u61c9\u7528\u7684\u898f\u5f8b\uff0c\u7528\u52d5\u529b\u7cfb\u7d71\u7684\u89c0\u9ede\u5c0dM-J\u96c6\u7684\u8907\u96dc\u6027\u9032\u884c\u523b\u756b\u3002<\/p>\n \u3000\u3000\u300a\u5206\u5f62\u5e7e\u4f55\u5b78\u53ca\u61c9\u7528\uff08\u4e0b\u518a\uff09\u300b\u4e3b\u8981\u5167\u5bb9\u6709\uff1a\u5206\u5f62\u5e7e\u4f55\u5b78\u7684\u767c\u5c55\u53f2\u53ca\u7814\u7a76\u65b9\u6cd5\u3001\u5206\u5f62\u5e7e\u4f55\u5b78\u7684\u57fa\u672c\u7406\u8ad6\u3001\u5e8f\u5217\u548c\u6620\u5c04\u4e2d\u7684\u5206\u5f62\u8207\u6df7\u6c8c\u3001\u5ee3\u7fa9M-J\u96c6\u3001\u5ee3\u7fa9M\u2014J\u96c6\u975e\u908a\u754c\u5340\u57df\u5206\u5f62\u7d50\u69cb\u3001\u96dc\u8a0a\u64fe\u52d5\u5ee3\u7fa9M-J\u96c6\u53ca\u5176\u63a7\u5236\u3001\u9ad8\u7dad\u5ee3\u7fa9M-J\u96c6\u3001\u725b\u9813\u8b8a\u63db\u7684\u5ee3\u7fa9J\u96c6\u3001IFs\u5438\u5f15\u5b50\u548c\u5ee3\u7fa9M-J\u96c6\u5728\u7269\u7406\u5b78\u4e2d\u7684\u61c9\u7528\u7814\u7a76\u3002<\/p>\n \u3000\u3000\u300a\u5206\u5f62\u5e7e\u4f55\u5b78\u53ca\u61c9\u7528\uff08\u4e0b\u518a\uff09\u300b\u6df1\u5165\u6dfa\u51fa\uff0c\u5716\u6587\u4e26\u8302\uff0c\u6587\u737b\u8c50\u5bcc\uff0c\u53ef\u4f9b\u7406\u5de5\u79d1\u5927\u5b78\u6559\u5e2b\u3001\u9ad8\u5e74\u7d1a\u5b78\u751f\u3001\u7814\u7a76\u751f\u548c\u535a\u58eb\u5f8c\u95b1\u8b80\uff0c\u4e5f\u53ef\u4f9b\u81ea\u7136\u79d1\u5b78\u548c\u5de5\u7a0b\u6280\u8853\u9818\u57df\u4e2d\u7684\u7814\u7a76\u4eba\u54e1\u53c3\u8003\u3002<\/p>\n <\/p>\n \u76ee\u9304\uff1a<\/strong><\/p>\n \u524d\u8a00<\/p>\n \u7b2c7\u7ae0 \u9ad8\u7dad\u5ee3\u7fa9M-J\u96c6<\/p>\n 7\uff0e1 \u96d9\u8907\u6578\u5ee3\u7fa9M-J\u96c6<\/p>\n 7\uff0e1\uff0e1 \u96d9\u8907\u6578\u7cfb\u7d71<\/p>\n 7\uff0e1\uff0e2 \u96d9\u8907\u6578\u7a7a\u9593\u4e2d\u7684\u5ee3\u7fa9M-J\u96c6<\/p>\n 7\uff0e1\uff0e3 \u5be6\u9a57\u8207\u7d50\u679c<\/p>\n 7\uff0e1\uff0e4 \u7d50\u8ad6<\/p>\n 7\uff0e2 \u8d85\u8907\u6578\u7a7a\u9593\u4e2d\u7684\u9ad8\u7dad\u5ee3\u7fa9M-J\u96c6<\/p>\n 7\uff0e2\uff0e1 \u8d85\u8907\u6578\u7cfb\u7d71<\/p>\n 7\uff0e2\uff0e2 \u9ad8\u7dad\u5ee3\u7fa9M-J\u96c6<\/p>\n 7\uff0e2\uff0e3 \u5be6\u9a57\u8207\u7d50\u679c<\/p>\n 7\uff0e2\uff0e4 \u7d50\u8ad6<\/p>\n 7\uff0e3 \u8d85\u8907\u6578\u7a7a\u9593\u5ee3\u7fa9M-J\u96c6\u7684L\u7cfb\u7d71\u63cf\u8ff0<\/p>\n 7\uff0e3\uff0e1 n\u7dad\u53c3\u6578OL\u7cfb\u7d71<\/p>\n 7\uff0e3\uff0e2 \u5ee3\u7fa9M\u96c6n\u7dad\u53c3\u6578OL\u7cfb\u7d71<\/p>\n 7\uff0e3\uff0e3 \u5ee3\u7fa9J\u96c6n\u7dad\u53c3\u6578OL\u7cfb\u7d71<\/p>\n 7\uff0e3\uff0e4 \u56db\u5143\u6578\u5ee3\u7fa9M\u96c6n\u7dad\u53c3\u6578OL\u7cfb\u7d71<\/p>\n 7\uff0e3\uff0e5 \u56db\u5143\u6578\u5ee3\u7fa9J\u96c6n\u7dad\u53c3\u6578OL\u7cfb\u7d71<\/p>\n 7\uff0e3\uff0e6 \u7d50\u8ad6<\/p>\n 7\uff0e4 \u56db\u5143\u6578\u5ee3\u7fa9M-J\u96c6<\/p>\n 7\uff0e4\uff0e1 \u56db\u5143\u6578\u5ee3\u7fa9M\u96c6<\/p>\n 7\uff0e4\uff0e2 \u56db\u5143\u6578\u5ee3\u7fa9J\u96c6<\/p>\n 7\uff0e4\uff0e3 \u56db\u5143\u6578M\u96c6\u7684\u591a\u81e8\u754c\u9ede\u554f\u984c\u7814\u7a76<\/p>\n 7\uff0e4\uff0e4 \u5c0f\u7d50<\/p>\n \u53c3\u8003\u6587\u737b<\/p>\n <\/p>\n \u7b2c8\u7ae0 Newton\u8b8a\u63db\u7684\u5ee3\u7fa9J\u96c6<\/p>\n 8\uff0e1 \u6a19\u6e96Newton\u8b8a\u63db\u7684J\u96c6<\/p>\n 8\uff0e1\uff0e1 \u91cd\u6839Newton\u8b8a\u63db\u7684J\u96c6<\/p>\n 8\uff0e1\uff0e2 \u6a19\u6e96Newton\u8b8a\u63db\u3001Halley\u65b9\u6cd5\u548cSchroder\u65b9\u6cd5\u7684J\u96c6<\/p>\n 8\uff0e2 \u5ee3\u7fa9Newton\u8b8a\u63db\u7684J\u96c6<\/p>\n 8\uff0e2\uff0e1 \u4e09\u968e\u5ee3\u7fa9Newton\u8b8a\u63db\u7684J\u96c6<\/p>\n 8\uff0e2\uff0e2 \u5ee3\u7fa9Newton\u8b8a\u63db\u7684J\u96c6<\/p>\n 8\uff0e3 \u5fa9\u6307\u6578\u51fd\u6578Newton\u8b8a\u63db\u7684J\u96c6<\/p>\n 8\uff0e3\uff0e1 \u7c21\u55ae\u5fa9\u6307\u6578\u51fd\u6578<\/p>\n 8\uff0e3\uff0e2 \u8907\u96dc\u5fa9\u6307\u6578\u51fd\u6578<\/p>\n 8\uff0e3\uff0e3 \u4e00\u985e\u5fa9\u6307\u6578\u51fd\u6578F\uff08z\uff09=P\uff08z\uff09eQ\uff08z\uff09<\/p>\n 8\uff0e4 \u55ae\u53c3\u6578\u9ad8\u6b21\u591a\u9805\u5f0f\u7684schroder\u51fd\u6578\u7684J\u96c6<\/p>\n 8\uff0e4\uff0e1 \u7406\u8ad6\u548c\u65b9\u6cd5<\/p>\n 8\uff0e4\uff0e2 \u5be6\u9a57\u8207\u7d50\u679c<\/p>\n 8\uff0e4\uff0e3 \u7d50\u8ad6<\/p>\n 8\uff0e5 \u5be6\u6307\u6578\u51aa\u591a\u5143Newton\u8b8a\u63db\u7684J\u96c6<\/p>\n 8\uff0e5\uff0e1 \u7406\u8ad6\u8207\u65b9\u6cd5<\/p>\n 8\uff0e5\uff0e2 \u5be6\u9a57\u8207\u7d50\u679c<\/p>\n 8\uff0e5\uff0e3 \u7d50\u8ad6<\/p>\n 8\uff0e6 \u507d3DNewton\u8b8a\u63db\u7684M-J\u96c6<\/p>\n 8\uff0e6\uff0e1 \u7528\u9677\u9631\u6280\u8853\u69cb\u9020\u507d3DNewton\u8b8a\u63db\u7684M-J\u96c6<\/p>\n 8\uff0e6\uff0e2 \u5229\u7528Barnsley\u53a5\u4f5c\u70ba\u9677\u9631\u69cb\u9020\u507d3DNewton\u8b8a\u63db\u7684\u5ee3\u7fa9M-J\u96c6<\/p>\n \u53c3\u8003\u6587\u737b<\/p>\n <\/p>\n \u7b2c9\u7ae0 IFS\u5438\u5f15\u5b50<\/p>\n 9\uff0e1 \u57fa\u65bcIFS\u7684\u81ea\u7136\u666f\u89c0\u6a21\u64ec<\/p>\n 9\uff0e1\uff0e1 \u57fa\u65bc3DIFS\u7406\u8ad6\u7684\u81ea\u7136\u666f\u89c0\u6a21\u64ec<\/p>\n 9\uff0e1\uff0e2 \u771f\u5f69\u8272IFS\u5438\u5f15\u5b50\u7684\u8a08\u7b97\u6a5f\u69cb\u9020<\/p>\n 9\uff0e2 \u4e00\u985eNMIFs\u5438\u5f15\u5b50\u7684\u905e\u6b78\u8a08\u7b97\u69cb\u9020\u53ca\u7279\u6027\u5206\u6790<\/p>\n 9\uff0e2\uff0e1 \u7406\u8ad6\u8207\u65b9\u6cd5<\/p>\n 9\uff0e2\uff0e2 \u5be6\u9a57\u8207\u7d50\u679c<\/p>\n 9\uff0e2\uff0e3 \u5c0f\u7d50<\/p>\n 9\uff0e3 \u5206\u5f62\u690d\u7269\u5f62\u614b\u6a21\u64ec<\/p>\n 9\uff0e3\uff0e1 \u57fa\u65bcGDI+\u548cBSP\u6f14\u7b97\u6cd5\u7684\u5206\u5f62\u690d\u7269\u6a21\u64ec<\/p>\n 9\uff0e3\uff0e2 \u57fa\u65bc\u5206\u5f62\u7406\u8ad6\u8207BSP\u6280\u8853\u7684\u690d\u7269\u5f62\u614b\u6a21\u64ec\u65b9\u6cd5<\/p>\n \u53c3\u8003\u6587\u737b<\/p>\n <\/p>\n \u7b2c10\u7ae0 \u5ee3\u7fa9M-J\u96c6\u5728\u7269\u7406\u5b78\u4e2d\u7684\u61c9\u7528\u7814\u7a76<\/p>\n 10\uff0e1 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