{"id":17603,"date":"2022-02-19T22:41:30","date_gmt":"2022-02-19T14:41:30","guid":{"rendered":"http:\/\/www.jdcui.com\/?p=17603"},"modified":"2022-11-21T13:32:55","modified_gmt":"2022-11-21T05:32:55","slug":"%e6%95%b0%e5%ad%a6%e7%bc%96%e7%a8%8b%e6%b7%b7%e6%b2%8c-%e8%99%ab%e5%8f%a3%e6%a8%a1%e5%9e%8b%e7%9a%84%e6%95%b0%e5%80%bc%e6%a8%a1%e6%8b%9f-numerical-simulation-of-insect-population-model","status":"publish","type":"post","link":"http:\/\/www.jdcui.com\/?p=17603","title":{"rendered":"[\u6570\u5b66][\u7f16\u7a0b][\u6df7\u6c8c] \u866b\u53e3\u6a21\u578b\u7684\u6570\u503c\u6a21\u62df [Numerical simulation of insect population model]"},"content":{"rendered":"<p><span style=\"color: #ff00ff; background-color: #ccffcc; font-size: 10pt;\"><strong>\u5b9e\u5e72\u3001\u5b9e\u8df5\u3001\u79ef\u7d2f\u3001\u601d\u8003\uff0c\u521b\u65b0\u3002<\/strong><\/span><\/p>\n<hr \/>\n<p style=\"text-align: left;\"><span style=\"font-size: 10pt;\">1976 \u5e74 , \u7f8e\u56fd\u6570\u5b66\u5bb6\u6885 (May .R ) \u5728\u7f8e\u56fd \u300a \u81ea\u7136 \u300b \u6742\u5fd7\u4e0a\u53d1\u8868\u7684\u9898\u4e3a \u201c \u5177\u6709\u590d\u6742\u7684\u52a8\u529b\u5b66\u7684\u7b80\u5355\u6a21\u578b \u201d \u6587\u7ae0\u4e2d\u6307\u51fa , \u5728\u751f\u6001\u5b66\u4e2d\u4e00\u4e9b\u975e\u5e38\u7b80\u5355\u7684\u786e\u5b9a\u6027\u7684\u6570\u5b66\u6a21\u578b\u5374\u80fd\u4ea7\u751f\u770b\u4f3c\u968f\u673a\u7684\u884c\u4e3a\u3002\u5982\u866b\u53e3\u6a21\u578b\uff1a<strong>x<sub>n+ 1<\/sub>= <em>\u03bc<\/em>x<sub>n<\/sub> ( 1 -x <sub>n<\/sub> )\uff0c<\/strong>\u5176\u4e2d xn \u662f\u7b2cn \u5e74\u7684\u866b\u53e3\u6570\uff0c<strong>x<\/strong><sub>n+ 1<\/sub> \u662f\u7b2c n + 1 \u5e74\u7684\u866b\u53e3\u6570\uff0c<strong>x<\/strong><sub>n<\/sub> \u2208 [0 , 1 ]\uff0c<em><strong>\u03bc<\/strong> <\/em>\u4e3a\u751f\u6b96\u589e\u957f\u7387\uff0c\u53d6\u503c\u8303\u56f4\u4e3a<em><strong>\u03bc<\/strong><\/em> \u2208 (0 , 4 )\u3002\u56fa\u5b9a\u53c2\u91cf <em>\u03bc<\/em>\u4e4b\u540e , \u53d6\u4e00\u4e2a\u521d\u503c<strong>x<\/strong><sub>0<\/sub>\u4ee3\u5165 , \u5373\u53ef\u901a\u8fc7\u53cd\u590d\u8fed\u4ee3\uff0c\u83b7\u5f97\u4e00\u7cfb\u5217\u7684\u70b9<strong>x<\/strong><sub>i<\/sub>\uff0c\u5176\u4e2d\u6bcf\u4e2a <strong>x<\/strong><sub> i<\/sub> (i = 1 , 2 , 3 \u2026\u2026)\u662f\u4e00\u4e2a\u8f68\u9053\u70b9\uff0c\u8fd9\u6837\u5c31\u5f97\u51fa\u4e00\u6761\u8f68\u9053 \u3002\u9009\u62e9\u4e0d\u540c\u7684\u53c2\u6570 , \u5f53\u8fed\u4ee3\u6b21\u6570\u8d85\u8fc7\u67d0\u4e2a\u8db3\u591f\u5927\u7684\u6570 N \u540e , \u8f68\u9053\u4f1a\u8868\u73b0\u51fa\u4e00\u4e9b\u5947\u7279\u7684\u884c\u4e3a , \u663e\u793a\u4e86\u866b\u53e3\u6570\u968f\u7740\u65f6\u95f4\u63a8\u79fb\u7684\u5947\u7279\u53d8\u5316\u60c5\u51b5 .<\/span><\/p>\n<p><span style=\"font-size: 10pt;\">\u866b\u53e3\u6a21\u578b\u5b9e\u9645\u4e3a\u4e00\u4e2a\u4e00\u7ef4<strong>\u903b\u8f91\u65af\u8482\u6620\u5c04Logistic map<\/strong>\u3002\uff08Link: <a href=\"https:\/\/baike.baidu.com\/item\/Logistic%E6%A8%A1%E5%9E%8B\/355091?fr=aladdin\" target=\"_blank\" rel=\"noopener\"><strong>Logistic\u6a21\u578b<\/strong><\/a>\uff09<\/span><\/p>\n<p><span style=\"font-size: 10pt;\">\u866b\u53e3\u6a21\u578b\u5728\u6df7\u6c8c\u6570\u5b66\u4e2d\u662f\u4e00\u4e2a\u5f88\u7ecf\u5178\u7684\u4f8b\u5b50\uff0c\u5b83\u53ef\u4ee5\u8bf4\u660e\u6df7\u6c8c\u53ef\u4ee5\u4ece\u5f88\u7b80\u5355\u7684\u975e\u7ebf\u6027\u65b9\u7a0b\u4e2d\u4ea7\u751f\u3002<\/span><\/p>\n<p><span style=\"font-size: 10pt;\">\u7531\u4e8e\u866b\u53e3\u6a21\u578b\u5c31\u662f\u4e00\u4e2a\u7b80\u5355\u7684\u9012\u63a8\u516c\u5f0f\uff0c\u53ef\u4ee5\u975e\u5e38\u7b80\u5355\u7684\u901a\u8fc7\u7f16\u7a0b\u5b9e\u73b0\u3002<\/span><\/p>\n<p><span style=\"font-size: 10pt;\">\u4ee5\u4e0b\u6d4b\u8bd5\u51e0\u4e2a\u4f8b\u5b50\u3002<\/span><\/p>\n<p><span style=\"font-size: 10pt;\">\uff081\uff09 \u03bc= 0. 5\uff0c<strong>x<\/strong><sub>0<\/sub>\u5206\u522b\u53d60.5\u30010.4\u53ca0.1\u53ef\u89c1\uff0c\u7ecf\u8fc7\u4e00\u5b9a\u6570\u91cf\u7684\u8fed\u4ee3\u540e\uff0c<strong>x<sub>n<\/sub><\/strong>\u8d8b\u4e8e0\uff0c\u5373\u79cd\u7fa4\u8d8b\u4e8e\u706d\u4ea1<\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-17614\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/InsectPopulationModel1.png\" alt=\"\" width=\"1040\" height=\"420\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/InsectPopulationModel1.png 1040w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/InsectPopulationModel1-768x310.png 768w\" sizes=\"auto, (max-width: 1040px) 100vw, 1040px\" \/><\/span><\/p>\n<p><span style=\"font-size: 10pt;\">\uff082\uff09 \u03bc= 2\uff0c<strong>x<\/strong><sub>0<\/sub>\u5206\u522b\u53d60.5\u30010.4\u53ca0.1\u53ef\u89c1\uff0c\u7ecf\u8fc7\u4e00\u5b9a\u6570\u91cf\u7684\u8fed\u4ee3\u540e\uff0c<strong>x<sub>n<\/sub><\/strong>\u8d8b\u5411\u4e8e\u7a33\u5b9a\u7684\u503c0.5\uff0c\u5373\u866b\u53e3\u6570\u6700\u7ec8\u8d8b\u4e8e\u540c\u4e00\u4e2a\u72b6\u6001\u3002<\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-17615\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/InsectPopulationModel2.png\" alt=\"\" width=\"1040\" height=\"420\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/InsectPopulationModel2.png 1040w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/InsectPopulationModel2-768x310.png 768w\" sizes=\"auto, (max-width: 1040px) 100vw, 1040px\" \/><\/span><\/p>\n<p><span style=\"font-size: 10pt;\">\uff083\uff09\u968f\u7740\u03bc\u7684\u589e\u5927\uff0c\u968f\u7740\u53c2\u6570 \u03bc\u7684\u7ee7\u7eed\u589e\u5927\uff0c\u4f8b\u5982 \u03bc= 3 . 25 \u65f6\u7cfb\u7edf\u72b6\u6001\u5c31\u4f1a\u8fdb\u5165\u5468\u671f 2 \u8f68\u9053,\u7cfb\u7edf\u51fa\u73b0\u4e24\u4e2a\u503c x \u22171 \u548c x \u22172 \u7684\u4ea4\u66ff\u72b6\u6001\uff0c\u5373\u866b\u53e3\u6570\u5728\u4e24\u79cd\u72b6\u6001\u4e4b\u95f4\u4ea4\u66ff\u53d8\u5316\u3002<\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-17618\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/InsectPopulationModel4.png\" alt=\"\" width=\"1040\" height=\"420\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/InsectPopulationModel4.png 1040w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/InsectPopulationModel4-768x310.png 768w\" sizes=\"auto, (max-width: 1040px) 100vw, 1040px\" \/><\/span><\/p>\n<p><span style=\"font-size: 10pt;\">\uff084\uff09\u5982\u679c\u8fdb\u4e00\u6b65\u7ee7\u7eed\u589e\u52a0<em><strong>\u03bc<\/strong><\/em>\u503c\uff0c\u5f53 3 . 499 &lt; <em><strong>\u03bc<\/strong><\/em> \u22643 . 545 ,\u6b64\u65f6 <strong>x<\/strong><sub>n<\/sub> \u5728\u56db\u4e2a \u503c \u4e0a \u4f9d \u6b21 \u8df3 \u52a8.<\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-17617\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/InsectPopulationModel3.png\" alt=\"\" width=\"1040\" height=\"420\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/InsectPopulationModel3.png 1040w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/InsectPopulationModel3-768x310.png 768w\" sizes=\"auto, (max-width: 1040px) 100vw, 1040px\" \/><\/span><\/p>\n<p><span style=\"font-size: 10pt;\">( 5 )\u7ee7\u7eed\u589e\u5927\u53c2\u52a0<em><strong>\u03bc<\/strong><\/em>\u7684\u503c\uff0c\u7cfb\u7edf\u72b6\u6001\u500d\u5468\u671f\u6f14\u5316\u6700\u7ec8\u8fdb\u5165\u6df7\u6c8c\u8f68\u9053\u3002\u4f8b\u5982\u53d6 <em><strong>\u03bc<\/strong><\/em>= 3.7\uff0c\u521d \u503c \u5206 \u522b \u4e3a <em><strong>x<\/strong><\/em><sub>01<\/sub>= 0.5001 \u548c <em><strong>x<\/strong><\/em><sub>02<\/sub>=0.5002\u3002<em><strong>x<\/strong><\/em><sub>01<\/sub>\u4e0e <strong>x<\/strong><sub>02<\/sub>\u53ea\u6709\u5f88\u5c0f\u7684\u5dee\u522b , \u4f46\u6211\u4eec\u53ef\u4ee5\u660e\u663e\u7684\u770b\u5230 , \u8fed \u4ee3 \u540e\u7684\u4e24\u6761\u8f68\u9053\u6700\u7ec8\u8868\u73b0\u51fa\u663e\u8457\u7684\u5dee\u5f02\u3002<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-17619\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/InsectPopulationModel5.png\" alt=\"\" width=\"1040\" height=\"420\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/InsectPopulationModel5.png 1040w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/InsectPopulationModel5-768x310.png 768w\" sizes=\"auto, (max-width: 1040px) 100vw, 1040px\" \/><\/p>\n<p><span style=\"font-size: 10pt;\">\u4e3a\u4e86\u66f4\u5168\u9762\u7684\u4e86\u89e3\u866b\u53e3\u65b9\u7a0b\u6f14\u5316\u8fc7\u7a0b\uff0c\u5bf9<strong>\u03bc\u53cax<sub>0<\/sub><\/strong>\u53d6\u4e0d\u540c\u7684\u503c\uff0c\u7ed8\u5236\u03bc\u53cax\u6536\u655b\u503c\u7684\u5206\u5e03\u56fe\uff0c\u5373\u53ef\u5f97\u866b\u53e3\u6a21\u578b\u7684\u5206\u5c94\u56fe\uff0c\u5982\u4e0b\uff1a<\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-17611\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/InsectPopulationModel0.png\" alt=\"\" width=\"800\" height=\"555\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/InsectPopulationModel0.png 800w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/InsectPopulationModel0-768x533.png 768w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/span><\/p>\n<ul style=\"list-style-type: square;\">\n<li><span style=\"font-size: 10pt;\"><strong>\u76f8\u5173\u535a\u6587 (<span style=\"color: #000080;\"> Related Topics)<\/span><\/strong><\/span><\/li>\n<\/ul>\n<p><span style=\"font-size: 10pt;\"><strong>[01] <a href=\"http:\/\/www.jdcui.com\/?p=9639\" rel=\"noopener noreferrer\">[\u7f16\u7a0b][\u7b97\u6cd5][\u51e0\u4f55] \u7f16\u7a0b\u8bad\u7ec3: \u51f8\u5305\u95ee\u9898 [Convex-Hull Problem]<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[02] <a href=\"http:\/\/www.jdcui.com\/?p=9647\" rel=\"noopener noreferrer\">[\u7f16\u7a0b][\u7b97\u6cd5][\u51e0\u4f55] \u7f16\u7a0b\u8bad\u7ec3: \u79bb\u6563\u70b9\u7684\u95ed\u5408\u8def\u5f84 [Closed Path for points]<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[03] <a href=\"http:\/\/www.jdcui.com\/?p=9675\" rel=\"noopener noreferrer\">[\u7f16\u7a0b][\u7b97\u6cd5][\u51e0\u4f55] \u7f16\u7a0b\u8bad\u7ec3: 3\u6b21B\u6837\u6761\u66f2\u7ebf [Cubic BSpline]<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[04] <a href=\"http:\/\/www.jdcui.com\/?p=9678\" rel=\"noopener noreferrer\">[\u7f16\u7a0b][\u7b97\u6cd5][\u51e0\u4f55] \u7f16\u7a0b\u8bad\u7ec3: \u65c5\u884c\u5546\u95ee\u9898<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[05] <a href=\"http:\/\/www.jdcui.com\/?p=9680\" rel=\"noopener noreferrer\">[\u7f16\u7a0b][\u7b97\u6cd5][\u51e0\u4f55] \u7f16\u7a0b\u8bad\u7ec3: 3\u6b21Bezier\u66f2\u7ebf [Cubic Bezier Curve]<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[06] <a href=\"http:\/\/www.jdcui.com\/?p=9696\" rel=\"noopener noreferrer\">[\u7f16\u7a0b][\u6e38\u620f][\u5f00\u53d1] \u7f16\u7a0b\u8bad\u7ec3\uff1a\u6570\u72ec\u6e38\u620f ( Sudoku )<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[07] <a href=\"http:\/\/www.jdcui.com\/?p=10381\" rel=\"noopener noreferrer\">[\u7f16\u7a0b][\u8f6f\u4ef6][Programming] \u7f16\u7a0b\u8bad\u7ec3\uff1a\u6a21\u62df\u9000\u706b\u7b97\u6cd5(Simulated annealing algorithm)<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[08] <a href=\"http:\/\/www.jdcui.com\/?p=10440\" rel=\"noopener noreferrer\">[\u7f16\u7a0b][\u7b97\u6cd5][\u4f18\u5316] \u7f16\u7a0b\u8bad\u7ec3\uff1a\u51fd\u6570\u7684CONLIN\u7ebf\u6027\u5316<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[09] <a href=\"http:\/\/www.jdcui.com\/?p=10446\" rel=\"noopener noreferrer\">[\u7f16\u7a0b][\u7b97\u6cd5][\u4f18\u5316] \u7f16\u7a0b\u8bad\u7ec3\uff1a\u51fd\u6570\u7684\u79fb\u52a8\u6e10\u8fdb\u7ebf(MMA)\u8fd1\u4f3c<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[09] <a href=\"http:\/\/www.jdcui.com\/?p=13123\" rel=\"noopener noreferrer\">[\u7f16\u7a0b\u8bad\u7ec3][Programming Training] URL Encode and Decode<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[10] <a href=\"http:\/\/www.jdcui.com\/?p=8752\" rel=\"noopener noreferrer\">[\u6e38\u620f][\u7f16\u7a0b][\u6311\u6218] Programming challenge: Tetris Game [\u7f16\u7a0b\u6311\u6218: \u4fc4\u7f57\u65af\u65b9\u5757\u6e38\u620f]<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[11] <a href=\"http:\/\/www.jdcui.com\/?p=7264\" rel=\"noopener noreferrer\">[\u7f16\u7a0b][\u8f6f\u4ef6][Tool] \u5e78\u8fd0\u5927\u62bd\u5956\u7a0b\u5e8f Lucky Draw<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[12] <a href=\"http:\/\/www.jdcui.com\/?p=1301\" rel=\"noopener noreferrer\">Buffon\u2019s Needle problem [\u84b2\u4e30\u6295\u9488\u95ee\u9898]<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[13] <a href=\"http:\/\/www.jdcui.com\/?p=1587\" rel=\"noopener noreferrer\">[Game][\u6e38\u620f]CJD Core Ball[\u89c1\u7f1d\u63d2\u9488\u6e38\u620f]<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[14] <a href=\"http:\/\/www.jdcui.com\/?p=1353\" rel=\"noopener noreferrer\">Sierpinski Triangle by 1D Cellular Automata [1D\u5143\u5305\u81ea\u52a8\u673a\u5b9e\u73b0Sierpinski\u4e09\u89d2\u5f62]<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[15] <a href=\"http:\/\/www.jdcui.com\/?p=1651\" rel=\"noopener noreferrer\">Cellular Automata Forest Fire Model [\u5143\u5305\u81ea\u52a8\u673a\u68ee\u6797\u706b\u707e\u6a21\u578b]<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[16] <a href=\"http:\/\/www.jdcui.com\/?p=1524\" rel=\"noopener noreferrer\">Conway\u2019s Game of Life [\u751f\u547d\u6e38\u620f]<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[17] <a href=\"http:\/\/www.jdcui.com\/?p=789\" rel=\"noopener noreferrer\">Mandelbrot Set &amp; Julia Set [\u5206\u5f62]<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[18] <a href=\"http:\/\/www.jdcui.com\/?p=88\" rel=\"noopener noreferrer\">Morley\u2019s Theorem [\u83ab\u5229\u5b9a\u7406]<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[19] <a href=\"http:\/\/www.jdcui.com\/?p=17\" rel=\"noopener noreferrer\">Pascal\u2019s Theorem [\u5e15\u65af\u5361\u5b9a\u7406]<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[20]\u00a0<a href=\"http:\/\/www.jdcui.com\/?p=13184\">[\u7f16\u7a0b\u8bad\u7ec3][Programming Training] Gaussian Distribution (\u9ad8\u65af\u5206\u5e03)<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[21] <a href=\"http:\/\/www.jdcui.com\/?p=13192\">[\u7f16\u7a0b\u8bad\u7ec3]Programming Training: Get Host<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[22] <a href=\"http:\/\/www.jdcui.com\/?p=13218\">[\u7f16\u7a0b\u8bad\u7ec3]Programming Training: Rotate Text<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[23] <a href=\"http:\/\/www.jdcui.com\/?p=13592\">[\u7f16\u7a0b\u8bad\u7ec3] \u79bb\u6563\u70b9\u7684Delaunay\u4e09\u89d2\u5f62\u5256\u5206( Delaunay triangulation of a point set)<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[24] <a href=\"http:\/\/www.jdcui.com\/?p=13597\">[\u7f16\u7a0b\u8bad\u7ec3] \u56fe\u50cf\u5206\u5272 (Image segmentation)<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[25] <a href=\"http:\/\/www.jdcui.com\/?p=13599\">[\u7f16\u7a0b\u8bad\u7ec3] \u62fc\u56fe\u6e38\u620f (Jigsaw Puzzle Game)<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[26] <a href=\"http:\/\/www.jdcui.com\/?p=13614\">[\u7f16\u7a0b\u8bad\u7ec3][Programming Training] Random number generator \u2013 Uniform Distribution (\u968f\u673a\u6570\u751f\u6210\u5668-\u5747\u5300\u5206\u5e03)<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[27] <a href=\"http:\/\/www.jdcui.com\/?p=13810\" target=\"_blank\" rel=\"noopener noreferrer\">[\u62bd\u5956][\u8f6f\u4ef6][\u7f16\u7a0b][\u5e74\u4f1a] 2020\u516c\u53f8\u5e74\u4f1a\u62bd\u5956 (\u56fe\u7247\u62bd\u5956) (RBS16\u5468\u5e74\u7eaa\u5ff5\u7248) (Run by souls)<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[28] <a href=\"http:\/\/www.jdcui.com\/?p=14118\" target=\"_blank\" rel=\"noopener noreferrer\">[\u7f16\u7a0b\u8bad\u7ec3][\u6e38\u620f][\u6570\u5b66] \u7ea2\u9152\u676f\u4e0e\u767d\u9152\u676f\u91cc\u5230\u5e95\u6709\u591a\u5c11\u7ea2\u9152\u548c\u767d\u9152\uff1f<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[29] <a title=\"[\u6570\u5b66][\u7b97\u6cd5] \u6700\u5c0f\u4e8c\u4e58\u6cd5\u66f2\u7ebf\u62df\u5408( Least square curve fitting )\" href=\"http:\/\/www.jdcui.com\/?p=15600\" target=\"_blank\" rel=\"noopener noreferrer\">[\u6570\u5b66][\u7b97\u6cd5] \u6700\u5c0f\u4e8c\u4e58\u6cd5\u66f2\u7ebf\u62df\u5408( Least square curve fitting )<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[30] <a title=\"[\u7f16\u7a0b][\u6570\u5b66][\u7f16\u7a0b\u8bad\u7ec3] |x|^n+|y|^n=1\u5c0f\u7c73logo\u8f6e\u5ed3\u66f2\u7ebf\" href=\"http:\/\/www.jdcui.com\/?p=16029\" target=\"_blank\" rel=\"noopener noreferrer\">[\u7f16\u7a0b][\u6570\u5b66][\u7f16\u7a0b\u8bad\u7ec3] |x|^n+|y|^n=1\u5c0f\u7c73logo\u8f6e\u5ed3\u66f2\u7ebf<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[31] <a title=\"[\u6570\u5b66][\u7f16\u7a0b] \u8499\u7279\u5361\u6d1b\u6a21\u62df\u6cd5\u6c42\u5706\u5468\u7387\u03c0 (Monte Carlo method to find PI)\" href=\"http:\/\/www.jdcui.com\/?p=17385\" target=\"_blank\" rel=\"noopener\">[\u6570\u5b66][\u7f16\u7a0b] \u8499\u7279\u5361\u6d1b\u6a21\u62df\u6cd5\u6c42\u5706\u5468\u7387\u03c0 (Monte Carlo method to find PI)<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[32] <a title=\"[\u7f16\u7a0b\u8bad\u7ec3] BMP\u56fe\u50cf\u7f29\u653e (BMP Image scaling)\" href=\"http:\/\/www.jdcui.com\/?p=17472\" target=\"_blank\" rel=\"noopener\">[\u7f16\u7a0b\u8bad\u7ec3] BMP\u56fe\u50cf\u7f29\u653e (BMP Image scaling)<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[33] <a title=\"[\u7f16\u7a0b\u8bad\u7ec3] \u7c92\u5b50\u7fa4\u4f18\u5316\u7b97\u6cd5 [PSO: Particle Swarm Optimization]\" href=\"http:\/\/www.jdcui.com\/?p=17499\" target=\"_blank\" rel=\"noopener\">[\u7f16\u7a0b\u8bad\u7ec3] \u7c92\u5b50\u7fa4\u4f18\u5316\u7b97\u6cd5 [PSO: Particle Swarm Optimization]<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[34] <a title=\"[\u7f16\u7a0b][\u7b14\u8bb0] \u5982\u4f55\u5c06n^m\u4e2a\u53ef\u80fd\u679a\u4e3e\u51fa\u6765\uff1f\" href=\"http:\/\/www.jdcui.com\/?p=17579\" target=\"_blank\" rel=\"noopener\">[\u7f16\u7a0b][\u7b14\u8bb0] \u5982\u4f55\u5c06n^m\u4e2a\u53ef\u80fd\u679a\u4e3e\u51fa\u6765\uff1f<\/a><\/strong><\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><strong>[35] <a title=\"[\u6570\u5b66][\u7f16\u7a0b][\u6df7\u6c8c] \u866b\u53e3\u6a21\u578b\u7684\u6570\u503c\u6a21\u62df [Numerical simulation of insect population model]\" href=\"http:\/\/www.jdcui.com\/?p=17603\" target=\"_blank\" rel=\"noopener\">[\u6570\u5b66][\u7f16\u7a0b][\u6df7\u6c8c] \u866b\u53e3\u6a21\u578b\u7684\u6570\u503c\u6a21\u62df [Numerical simulation of insect population model]<\/a><\/strong><\/span><\/p>\n<hr \/>\n<p style=\"padding-left: 30px; text-align: center;\"><span style=\"font-size: 10pt;\"><strong><div  class=\"thumbs-rating-container\" id=\"thumbs-rating-17603\" data-content-id=\"17603\"><button class=\"thumbs-rating-up thumbs-rating-voted\" onclick=\"thumbs_rating_vote(17603, 1);\">Vote Up +3<\/button> <button class=\"thumbs-rating-down\" onclick=\"thumbs_rating_vote(17603, 2);\">Vote Down -0<\/button><span class=\"thumbs-rating-already-voted\">You already voted!<\/span><\/div><\/strong><\/span><\/p>\n<ul style=\"list-style-type: square;\">\n<li style=\"text-align: left;\"><span style=\"font-size: 10pt;\"><strong>\u5fae\u4fe1\u516c\u4f17\u53f7\u00a0(<span style=\"color: #000080;\">\u00a0Wechat\u00a0Subscription)<\/span><\/strong><\/span><\/li>\n<\/ul>\n<p style=\"text-align: center;\"><span style=\"font-size: 10pt;\"><a href=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2017\/01\/QRCODE.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-3636\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2017\/01\/QRCODE.jpg\" alt=\"WeChat_QRCode\" width=\"250\" height=\"255\" \/><\/a><\/span><span style=\"font-size: 10pt;\"><a href=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2017\/01\/QRCODE.jpg\"><strong><span style=\"color: #333333;\">\u6b22\u8fce\u5173\u6ce8\u00a0<span style=\"color: #ff00ff;\">\u201c\u7ed3\u6784\u4e4b\u65c5\u201d\u00a0<\/span>\u5fae\u4fe1\u516c\u4f17\u53f7<\/span><\/strong><\/a><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5b9e\u5e72\u3001\u5b9e\u8df5\u3001\u79ef\u7d2f\u3001\u601d\u8003\uff0c\u521b\u65b0\u3002 1976 \u5e74 , \u7f8e\u56fd\u6570\u5b66\u5bb6\u6885 (May .R ) \u5728\u7f8e\u56fd \u300a \u81ea\u7136 \u300b \u6742\u5fd7\u4e0a\u53d1\u8868\u7684\u9898\u4e3a \u201c \u5177\u6709\u590d\u6742\u7684\u52a8\u529b\u5b66\u7684\u7b80\u5355\u6a21\u578b \u201d \u6587\u7ae0\u4e2d\u6307\u51fa , \u5728\u751f\u6001\u5b66\u4e2d\u4e00\u4e9b\u975e\u5e38\u7b80\u5355\u7684\u786e\u5b9a\u6027\u7684\u6570\u5b66\u6a21\u578b\u5374\u80fd\u4ea7\u751f\u770b\u4f3c\u968f\u673a\u7684\u884c\u4e3a\u3002\u5982\u866b\u53e3\u6a21\u578b\uff1axn+ 1= \u03bcxn ( 1 -x n )\uff0c\u5176\u4e2d xn \u662f\u7b2cn \u5e74\u7684\u866b\u53e3\u6570\uff0cxn+ 1 &#8230;<\/p>\n","protected":false},"author":1,"featured_media":17612,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4,21],"tags":[3284,3287,3283,3285,135,3281,3282,3286],"class_list":["post-17603","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-math-geometry","category-programming","tag-chaos","tag-insect-amount","tag-insect-population-model","tag-logistic-map","tag-135","tag-3281","tag-3282","tag-3286"],"aioseo_notices":[],"views":3652,"_links":{"self":[{"href":"http:\/\/www.jdcui.com\/index.php?rest_route=\/wp\/v2\/posts\/17603","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.jdcui.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.jdcui.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.jdcui.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.jdcui.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=17603"}],"version-history":[{"count":0,"href":"http:\/\/www.jdcui.com\/index.php?rest_route=\/wp\/v2\/posts\/17603\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/www.jdcui.com\/index.php?rest_route=\/wp\/v2\/media\/17612"}],"wp:attachment":[{"href":"http:\/\/www.jdcui.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=17603"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.jdcui.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=17603"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.jdcui.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=17603"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}