{"id":5916,"date":"2024-06-16T05:12:37","date_gmt":"2024-06-15T21:12:37","guid":{"rendered":"https:\/\/lovebuy.org\/?product=%e3%80%90%e6%95%b8%e5%ad%b8%e7%89%a9%e7%90%86%e6%96%b9%e6%b3%9512%e3%80%91"},"modified":"2024-06-16T17:02:02","modified_gmt":"2024-06-16T09:02:02","slug":"%e3%80%90%e6%95%b8%e5%ad%b8%e7%89%a9%e7%90%86%e6%96%b9%e6%b3%9512%e3%80%91","status":"publish","type":"product","link":"https:\/\/lovebuy.org\/?product=%e3%80%90%e6%95%b8%e5%ad%b8%e7%89%a9%e7%90%86%e6%96%b9%e6%b3%9512%e3%80%91","title":{"rendered":"\u3010\u6578\u5b78\u7269\u7406\u65b9\u6cd51+2\u3011"},"content":{"rendered":"

<\/span><\/strong><\/span><\/strong><\/p>\n

\u3010\u6578\u5b78\u7269\u7406\u65b9\u6cd51\u3011<\/span><\/strong><\/span><\/strong><\/p>\n

\u5167\u5bb9\u7c21\u4ecb<\/span><\/strong><\/p>\n

\u300a\u6578\u5b78\u7269\u7406\u65b9\u6cd5\u300b\u7cfb\u4e00\u7d93\u5178\u540d\u8457\u3002 \u300a\u6578\u5b78\u7269\u7406\u65b9\u6cd5\u300b\u7cfb\u7d71\u5730\u63d0\u4f9b\u4e86\u70ba\u89e3\u51b3\u5404\u7a2e\u91cd\u8981\u7269\u7406\u554f\u984c\u6240\u9700\u7684\u57fa\u672c\u6578\u5b78\u65b9\u6cd5\u3002 \u5168\u66f8\u5206\u4e09\u5377\u51fa\u7248\u3002 \u300a\u6578\u5b78\u7269\u7406\u65b9\u6cd51\u300b\u70ba\u300a\u6578\u5b78\u7269\u7406\u65b9\u6cd51\u300b\uff0c\u7531R.\u67ef\u6717\u548cD. \u5e0c\u723e\u4f2f\u7279\u7de8\u5beb\uff0c\u5167\u5bb9\u5305\u62ec\uff1a\u7dda\u6027\u4ee3\u6578\u548c\u4e8c\u6b21\u578b\u3001\u4efb\u610f\u51fd\u6578\u7684\u7d1a\u6578\u5c55\u958b\u3001\u7dda\u6027\u7a4d\u5206\u65b9\u7a0b\u3001\u8b8a\u5206\u6cd5\u3001\u632f\u52d5\u548c\u672c\u5f81\u503c\u554f\u984c\u3001\u8b8a\u5206\u6cd5\u5728\u672c\u5f81\u503c\u554f\u984c\u4e0a\u7684\u61c9\u7528\u4ee5\u53ca\u672c\u5f81\u503c\u554f\u984c\u6240\u5b9a\u7fa9\u7684\u7279\u6b8a\u51fd\u6578\u3002<\/p>\n

\u300a\u6578\u5b78\u7269\u7406\u65b9\u6cd51\u300b\u53ef\u4ee5\u4f5c\u70ba\u9ad8\u7b49\u5b78\u6821\u201c\u6578\u5b78\u7269\u7406\u201d\u8ab2\u7a0b\u7684\u6559\u672c\uff1b \u5c0d\u7406\u8ad6\u7269\u7406\u5b78\u5de5\u4f5c\u8005\uff0c\u5b83\u4e5f\u662f\u4e00\u672c\u6709\u7528\u7684\u53c3\u8003\u66f8\u3002<\/p>\n

\u4f5c\u8005\u7c21\u4ecb<\/span><\/strong><\/p>\n

\u67ef\u6717\uff0c\u5fb7\u570b\u88d4\u7f8e\u570b\u7c4d\u6578\u5b78\u5bb6\u3002 \u51fa\u751f\u65bc1888\u5e741\u67088\u65e5\u3002 \u51fa\u751f\u5728\u666e\u9b6f\u58eb\u5e1d\u570b\u897f\u91cc\u897f\u4e9e\u7701\u7684Lublinitz\u3002<\/p>\n

\u76ee\u9304<\/span><\/strong><\/p>\n

\u4e2d\u8b6f\u672c\u524d\u8a00<\/p>\n

\u82f1\u6587\u7248\u539f\u5e8f\u6458\u8b6f<\/p>\n

\u7b2c1\u7ae0\u7dda\u6027\u4ee3\u6578\u548c\u4e8c\u6b21\u578b<\/p>\n

1.1\u7dda\u6027\u65b9\u7a0b\u548c\u7dda\u6027\u8b8a\u63db<\/p>\n

1.1.1\u5411\u91cf<\/p>\n

1.1.2\u6b63\u4ea4\u5411\u91cf\u7d44\u3001\u5b8c\u5099\u6027<\/p>\n

1.1.3\u7dda\u6027\u8b8a\u63db\u3001\u77e9\u9663<\/p>\n

1.1.4\u96d9\u7dda\u578b\u3001\u4e8c\u6b21\u578b\u548c\u57c3\u723e\u7c73\u7279\u578b<\/p>\n

1.1.5\u6b63\u4ea4\u8b8a\u63db\u548c\u8907\u6b63\u4ea4\u8b8a\u63db<\/p>\n

1.2\u542b\u7dda\u6027\u53c3\u6578\u7684\u7dda\u6027\u8b8a\u63db<\/p>\n

1.3\u4e8c\u6b21\u578b\u548c\u57c3\u723e\u7c73\u7279\u578b\u7684\u4e3b\u8ef8\u8b8a\u63db<\/p>\n

1.3.1\u6839\u64da\u6975\u5927\u503c\u539f\u7406\u4f5c\u4e3b\u8ef8\u8b8a\u63db<\/p>\n

1.3.2\u672c\u5f81\u503c<\/p>\n

1.3.3\u63a8\u5ee3\u65bc\u57c3\u723e\u7c73\u7279\u578b<\/p>\n

1.3.4\u4e8c\u6b21\u578b\u7684\u60f0\u6027\u5b9a\u7406<\/p>\n

1.3.5\u4e8c\u6b21\u578b\u7684\u9810\u89e3\u5f0f\u7684\u8868\u793a<\/p>\n

1.3.6\u8207\u4e8c\u6b21\u578b\u76f8\u806f\u5c6c\u7684\u7dda\u6027\u65b9\u7a0b\u7d44\u7684\u89e3I<\/p>\n

1.4\u672c\u5f81\u503c\u7684\u6975\u5c0f\u6975\u5927\u6027<\/p>\n

1.4.1\u7528\u6975\u5c0f\u4e00\u6975\u5927\u554f\u984c\u8868\u5fb5\u672c\u5f81\u503c<\/p>\n

1.4.2\u61c9\u7528\u3001\u7d04\u675f<\/p>\n

1.5\u88dc\u5145\u6750\u6599\u53ca\u554f\u984c<\/p>\n

1.5.1\u7dda\u6027\u7368\u7acb\u6027\u53ca\u683c\u62c9\u59c6\u884c\u5217\u5f0f<\/p>\n

1.5.2\u884c\u5217\u5f0f\u7684\u963f\u9054\u99ac\u4e0d\u7b49\u5f0f<\/p>\n

1.5.3\u6b63\u5247\u8b8a\u63db\u7684\u5ee3\u7fa9\u8655\u7406<\/p>\n

1.5.4\u7121\u7aae\u591a\u500b\u8b8a\u6578\u7684\u8b8a\u7dda\u578b\u548c\u4e8c\u6b21\u578b<\/p>\n

1.5.5\u7121\u7aae\u5c0f\u7dda\u6027\u8b8a\u63db<\/p>\n

1.5.6\u5fae\u64fe<\/p>\n

1.5.7\u7d04\u675f<\/p>\n

1.5.8\u77e9\u9663\u6216\u8b8a\u7dda\u578b\u7684\u521d\u7b49\u9664\u6578<\/p>\n

1.5.9\u8907\u6b63\u4ea4\u77e9\u9663\u7684\u8b5c<\/p>\n

\u53c3\u8003\u6587\u737b<\/p>\n

\u7b2c2\u7ae0\u4efb\u610f\u51fd\u6578\u7684\u7d1a\u6578\u5c55\u958b<\/p>\n

2.1\u6b63\u4ea4\u51fd\u6578\u7d44<\/p>\n

2.1.1\u5b9a\u7fa9<\/p>\n

2.1.2\u4e00\u7d44\u51fd\u6578\u7684\u6b63\u4ea4\u5316<\/p>\n

2.1.3\u8c9d\u585e\u723e\u4e0d\u7b49\u5f0f\u3001\u5b8c\u5099\u6027\u95dc\u4fc2\u3001\u5e73\u5747\u903c\u8fd1<\/p>\n

2.1.4\u7121\u7aae\u591a\u500b\u8b8a\u6578\u7684\u6b63\u4ea4\u8b8a\u63db\u548c\u8907\u6b63\u4ea4\u8b8a\u63db<\/p>\n

2.1.5\u5728\u591a\u500b\u81ea\u8b8a\u6578\u53ca\u66f4\u4e00\u822c\u7684\u5047\u5b9a\u4e0b\u4e0a\u8ff0\u7d50\u679c\u7684\u6b63\u78ba\u6027<\/p>\n

2.1.6\u591a\u8b8a\u6578\u5b8c\u5099\u51fd\u6578\u7d44\u7684\u69cb\u9020<\/p>\n

2.2\u51fd\u6578\u7684\u805a\u9ede\u5b9a\u7406<\/p>\n

2.2.1\u51fd\u6578\u7a7a\u9593\u7684\u6536\u6582\u6027<\/p>\n

2.3\u7368\u7acb\u6027\u6e2c\u5ea6\u548c\u7dad\u6578<\/p>\n

2.3.1\u7368\u7acb\u6027\u6e2c\u5ea6<\/p>\n

2.3.2\u4e00\u51fd\u6578\u5e8f\u5217\u7684\u6f38\u8fd1\u7dad\u6578<\/p>\n

2.4\u9b4f\u723e\u65af\u7279\u62c9\u65af\u903c\u8fd1\u5b9a\u7406\u3001\u51aa\u51fd\u6578\u548c\u4e09\u89d2\u51fd\u6578\u7684\u5b8c\u5099\u6027<\/p>\n

2.4.1\u9b4f\u723e\u65af\u7279\u62c9\u65af\u903c\u8fd1\u5b9a\u7406<\/p>\n

2.4.2\u63a8\u5ee3\u5230\u591a\u5143\u51fd\u6578\u7684\u60c5\u5f62<\/p>\n

2.4.3\u51fd\u6578\u53ca\u5176\u5fae\u5546\u540c\u6642\u7528\u591a\u9805\u5f0f\u903c\u8fd1<\/p>\n

2.4.4\u4e09\u89d2\u51fd\u6578\u7684\u5b8c\u5099\u6027<\/p>\n

2.5\u5085\u88e1\u8449\u7d1a\u6578<\/p>\n

2.5.1\u57fa\u672c\u5b9a\u7406\u7684\u8b49\u660e<\/p>\n

2.5.2\u91cd\u5085\u88e1\u8449\u7d1a\u6578<\/p>\n

2.5.3\u5085\u7acb\u8449\u4fc2\u6578\u7684\u6578\u91cf\u7d1a<\/p>\n

2.5.4\u57fa\u672c\u5340\u9593\u9577\u5ea6\u7684\u66f4\u6539<\/p>\n

2.5.5\u4f8b\u5b50<\/p>\n

2.6\u5085\u7acb\u8449\u7a4d\u5206<\/p>\n

2.6.1\u57fa\u672c\u5b9a\u7406<\/p>\n

2.6.2\u628a\u4e0a\u7bc0\u7d50\u679c\u63a8\u5ee3\u5230\u591a\u5143\u51fd\u6578\u7684\u60c5\u5f62<\/p>\n

2.6.3\u4e92\u9006\u516c\u5f0f<\/p>\n

2.7\u5085\u7acb\u8449\u7a4d\u5206\u7684\u4f8b\u5b50<\/p>\n

2.8\u52d2\u8b93\u5fb7\u591a\u9805\u5f0f<\/p>\n

2.8.1.\u5f9e\u51aa\u51fd\u65781\uff0cx\uff0c\u7684\u6b63\u4ea4\u5316\u4f5c\u51fa\u52d2\u8b93\u5fb7\u591a\u9805\u5f0f<\/p>\n

2.8.2\u6bcd\u51fd\u6578<\/p>\n

2.8.3\u52d2\u8b93\u5fb7\u591a\u9805\u5f0f\u7684\u5176\u4ed6\u6027\u8cea<\/p>\n

2.9\u5176\u4ed6\u6b63\u4ea4\u7d44\u7684\u4f8b\u5b50<\/p>\n

2.9.1\u5c0e\u81f4\u52d2\u8b93\u5fb7\u591a\u9805\u5f0f\u7684\u554f\u984c\u7684\u63a8\u5ee3<\/p>\n

\u2026\u2026<\/p>\n

\u7b2c3\u7ae0\u7dda\u6027\u7a4d\u5206\u65b9\u7a0b<\/p>\n

\u7b2c4\u7ae0\u8b8a\u5206\u6cd5<\/p>\n

\u7b2c5\u7ae0\u632f\u52d5\u548c\u672c\u5f81\u503c\u554f\u984c<\/p>\n

\u7b2c6\u7ae0\u8b8a\u5206\u6cd5\u5728\u672c\u5f81\u503c\u554f\u984c\u4e0a\u7684\u61c9\u7528<\/p>\n

\u7b2c7\u7ae0\u672c\u5f81\u503c\u554f\u984c\u6240\u5b9a\u7fa9\u7684\u7279\u6b8a\u51fd\u6578<\/p>\n

\u9644\u52a0\u53c3\u8003\u6587\u737b<\/p>\n

\u7d22\u5f15<\/p>\n

\u66f8\u6458\u63d2\u756b<\/span><\/strong><\/p>\n

<\/span><\/strong><\/p>\n

<\/p>\n

————————————————————————-<\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong>
<\/span><\/strong><\/p>\n

<\/p>\n

\u3010\u6578\u5b78\u7269\u7406\u65b9\u6cd52\u3011<\/span><\/strong><\/span><\/strong><\/p>\n

\u5167\u5bb9\u7c21\u4ecb<\/span><\/strong><\/p>\n

\u300a\u6578\u5b78\u540d\u8457\u8b6f\u53e2\uff1a\u6578\u5b78\u7269\u7406\u65b9\u6cd52\u300b\u7cfb\u7d71\u5730\u63d0\u4f9b\u4e86\u70ba\u89e3\u51b3\u5404\u7a2e\u91cd\u8981\u7269\u7406\u554f\u984c\u6240\u9700\u7684\u57fa\u672c\u6578\u5b78\u65b9\u6cd5\u3002 \u5168\u66f8\u5206\u4e09\u5377\u51fa\u7248\uff0c\u5377II\u7684\u5167\u5bb9\u57fa\u672c\u4e0a\u8207\u5377I\u7121\u95dc\uff0c\u662f\u5f9e\u6578\u5b78\u7269\u7406\u7684\u89c0\u9ede\u4f86\u8655\u7406\u504f\u5fae\u5206\u65b9\u7a0b\u7406\u8ad6\u7684\uff0c\u5176\u4e2d\u5305\u62ec\uff1a\u4e00\u968e\u504f\u5fae\u5206\u65b9\u7a0b\u7684\u4e00\u822c\u7406\u8ad6\u3001\u9ad8\u968e\u504f\u5fae\u5206\u65b9\u7a0b\u3001\u52e2\u8ad6\u53ca\u6a62\u5713\u578b\u5fae\u5206\u65b9\u7a0b\u3001\u5169\u500b\u5f15\u6578\u7684\u96d9\u66f2\u578b\u5fae\u5206\u65b9\u7a0b\u548c\u591a\u65bc\u5169\u500b\u5f15\u6578\u7684\u96d9\u66f2\u578b\u5fae\u5206\u65b9\u7a0b\u3002<\/p>\n

\u300a\u6578\u5b78\u540d\u8457\u8b6f\u53e2\uff1a\u6578\u5b78\u7269\u7406\u65b9\u6cd52\u300b\u5167\u5bb9\u5341\u5206\u8c50\u5bcc\uff0c\u53ef\u4f9b\u6578\u5b78\u3001\u7269\u7406\u3001\u529b\u5b78\u7b49\u65b9\u9762\u7684\u7814\u7a76\u5de5\u4f5c\u8005\u3001\u6559\u5e2b\u548c\u5b78\u751f\u53c3\u6537\u3002<\/p>\n

\u4f5c\u8005\u7c21\u4ecb<\/span><\/strong><\/p>\n

\u67ef\u6717\uff0c\u5fb7\u570b\u88d4\u7f8e\u570b\u7c4d\u6578\u5b78\u5bb6\u3002 \u51fa\u751f\u65bc1888\u5e741\u670811\u65e5\u3002 \u51fa\u751f\u5728\u666e\u9b6f\u58eb\u5e1d\u570b\u897f\u91cc\u897f\u4e9e\u7701\u7684Lublinitz\u3002<\/p>\n

<\/p>\n

\u76ee\u9304<\/span><\/strong><\/p>\n

\u82f1\u6587\u7248\u539f\u5e8f\u6458\u8b6f<\/p>\n

\u7b2c1\u7ae0\u5f15\u8ad6<\/p>\n

1.1\u95dc\u65bc\u5404\u7a2e\u89e3\u7684\u4e00\u822c\u77e5\u8b58<\/p>\n

1.1.1\u4f8b<\/p>\n

1.1.2\u5df2\u7d66\u51fd\u6578\u65cf\u7684\u5fae\u5206\u65b9\u7a0b<\/p>\n

1.2\u5fae\u5206\u65b9\u7a0b\u7d44<\/p>\n

1.2.1\u5fae\u5206\u65b9\u7a0b\u7d44\u548c\u55ae\u500b\u7684\u5fae\u5206\u65b9\u7a0b\u7b49\u50f9\u7684\u554f\u984c<\/p>\n

1.2.2\u5e38\u4fc2\u6578\u7dda\u6027\u65b9\u7a0b\u7d44\u7684\u6d88\u53bb\u6cd5<\/p>\n

1.2.3\u9069\u5b9a\u7684\u3001\u8d85\u5b9a\u7684\u3001\u6b20\u5b9a\u7684\u65b9\u7a0b\u7d44<\/p>\n

1.3\u7279\u6b8a\u5fae\u5206\u65b9\u7a0b\u7684\u6c42\u7a4d\u6cd5<\/p>\n

1.3.1\u5206\u96e2\u8b8a\u6578\u6cd5<\/p>\n

1.3.2\u7528\u758a\u52a0\u6cd5\u69cb\u9020\u66f4\u591a\u7684\u89e3.\u50b3\u71b1\u65b9\u7a0b\u7684\u57fa\u672c\u89e3.Poisson\u7a4d\u5206<\/p>\n

1.4\u5169\u500b\u5f15\u6578\u7684\u4e00\u968e\u504f\u5fae\u5206\u65b9\u7a0b\u7684\u5e7e\u4f55\u89e3\u91cb.\u5b8c\u5168\u7a4d\u5206<\/p>\n

1.4.1\u4e00\u968e\u504f\u5fae\u5206\u65b9\u7a0b\u7684\u5e7e\u4f55\u89e3\u91cb<\/p>\n

1.4.2\u5b8c\u5168\u7a4d\u5206<\/p>\n

1.4.3\u5947\u5f02\u7a4d\u5206<\/p>\n

1.4.4\u4f8b<\/p>\n

1.5\u4e00\u968e\u7dda\u6027\u548c\u64ec\u7dda\u6027\u5fae\u5206\u65b9\u7a0b\u7684\u7406\u8ad6<\/p>\n

1.5.1\u7dda\u6027\u5fae\u5206\u65b9\u7a0b<\/p>\n

1.5.2\u64ec\u7dda\u6027\u5fae\u5206\u65b9\u7a0b<\/p>\n

1.6 Legendre\u8b8a\u63db<\/p>\n

1.6.1\u5c0d\u65bc\u4e8c\u5143\u51fd\u6578\u7684Legendre\u8b8a\u63db<\/p>\n

1.6.2\u5c0d\u65bcn\u5143\u51fd\u6578\u7684Legendre\u8b8a\u63db<\/p>\n

1.6.3 Legendre\u8b8a\u63db\u5728\u504f\u5fae\u5206\u65b9\u7a0b\u4e0a\u7684\u61c9\u7528<\/p>\n

1.7 Cauchy\u548cKowalewsky\u5b58\u5728\u5b9a\u7406<\/p>\n

1.7.1\u5f15\u8a00\u548c\u4f8b<\/p>\n

1.7.2\u5316\u70ba\u64ec\u7dda\u6027\u5fae\u5206\u65b9\u7a0b\u7d44<\/p>\n

1.7.3\u521d\u59cb\u6d41\u5f62\u4e0a\u7684\u5c0e\u6578\u7684\u78ba\u5b9a\u6cd5<\/p>\n

1.7.4\u89e3\u6790\u5fae\u5206\u65b9\u7a0b\u7684\u89e3\u7684\u5b58\u5728\u6027\u7684\u8b49\u660e<\/p>\n

1.7.5\u95dc\u65bc\u7dda\u6027\u5fae\u5206\u65b9\u7a0b\u7684\u4e00\u4ef6\u6ce8\u610f\u4e8b\u9805<\/p>\n

1.7.6\u95dc\u65bc\u975e\u89e3\u6790\u5fae\u5206\u65b9\u7a0b\u7684\u4e00\u500b\u9644\u6ce8<\/p>\n

1.7.7\u95dc\u65bc\u81e8\u754c\u521d\u59cb\u6578\u64da\u7684\u5e7e\u9ede\u6ce8\u8a18.\u7279\u5fb5<\/p>\n

\u7b2c1\u7ae0\u9644\u9304I\u95dc\u65bc\u6975\u5c0f\u66f2\u9762\u7684\u652f\u6301\u51fd\u6578\u7684Laplace\u5fae\u5206\u65b9\u7a0b<\/p>\n

\u7b2c1\u7ae0\u9644\u9304II\u4e00\u968e\u5fae\u5206\u65b9\u7a0b\u7d44\u548c\u9ad8\u968e\u5fae\u5206\u65b9\u7a0b\u7d44<\/p>\n

1.1\u555f\u767c\u6027\u7684\u8a71<\/p>\n

1.2\u5169\u500b\u4e00\u968e\u504f\u5fae\u5206\u65b9\u7a0b\u6240\u6210\u7684\u7d44\u548c\u4e00\u500b\u4e8c\u968e\u5fae\u5206\u65b9\u7a0b\u7b49\u50f9\u7684\u689d\u4ef6<\/p>\n

\u7b2c2\u7ae0\u4e00\u968e\u504f\u5fae\u5206\u65b9\u7a0b\u7684\u4e00\u822c\u7406\u8ad6<\/p>\n

2.1\u5169\u500b\u5f15\u6578\u7684\u64ec\u7dda\u6027\u5fae\u5206\u65b9\u7a0b\u7684\u5e7e\u4f55\u7406\u8ad6<\/p>\n

2.1.1\u7279\u5fb5\u66f2\u7dda<\/p>\n

2.1.2\u521d\u503c\u554f\u984c<\/p>\n

2.1.3\u4f8b<\/p>\n

2.2 n\u500b\u5f15\u6578\u7684\u64ec\u7dda\u6027\u5fae\u5206\u65b9\u7a0b<\/p>\n

2.3\u5169\u500b\u5f15\u6578\u7684\u4e00\u822c\u5fae\u5206\u65b9\u7a0b<\/p>\n

2.3.1\u7279\u5fb5\u66f2\u7dda\u548c\u7126\u7dda.Monge\u9310<\/p>\n

2.3.2\u521d\u503c\u554f\u984c\u7684\u89e3<\/p>\n

2.3.3\u7279\u5fb5\u4f5c\u70ba\u5206\u652f\u5143\u7d20.\u88dc\u5145\u8aaa\u660e.\u7a4d\u5206\u5288\u9310\u9762.\u7126\u6563\u6d41\u5f62<\/p>\n

2.4\u5b8c\u5168\u7a4d\u5206<\/p>\n

2.5\u7126\u7dda\u548cMonge\u65b9\u7a0b<\/p>\n

2.6\u4f8b<\/p>\n

2.6.1\u76f4\u5149\u7dda\u7684\u5fae\u5206\u65b9\u7a0b. \uff08grad u\uff092=1<\/p>\n

2.6.2\u65b9\u7a0bF\uff08ux\uff1buy\uff09=0<\/p>\n

2.6.3 Clairaut\u5fae\u5206\u65b9\u7a0b<\/p>\n

2.6.4\u7ba1\u72c0\u66f2\u9762\u7684\u5fae\u5206\u65b9\u7a0b<\/p>\n

2.6.5\u9f4a\u6027\u95dc\u4fc2\u5f0f<\/p>\n

2.7 n\u500b\u5f15\u6578\u7684\u4e00\u822c\u5fae\u5206\u65b9\u7a0b<\/p>\n

2.8\u5b8c\u5168\u7a4d\u5206\u53caHamilton-Jacobi\u7406\u8ad6<\/p>\n

2.8.1\u5305\u7d61\u548c\u7279\u5fb5\u66f2\u7dda\u7684\u9020\u6cd5<\/p>\n

2.8.2\u7279\u5fb5\u5fae\u5206\u65b9\u7a0b\u7684\u5178\u7bc4\u5f62\u5f0f<\/p>\n

2.8.3 Hamilton-Jacobi\u7406\u8ad6<\/p>\n

2.8.4\u4f8b.\u4e8c\u9ad4\u554f\u984c<\/p>\n

2.8.5\u4f8b.\u6a62\u7403\u9762\u4e0a\u7684\u77ed\u7a0b\u7dda<\/p>\n

2.9 Hamilton-Jacobi\u7406\u8ad6\u53ca\u8b8a\u5206\u6cd5<\/p>\n

2.9.1\u5178\u7bc4\u5f62\u5f0f\u7684Euler\u5fae\u5206\u65b9\u7a0b<\/p>\n

2.9.2\u77ed\u7a0b\u8ddd\u96e2\u6216\u77ed\u6642\u8ddd\u53ca\u5176\u5c0e\u6578.Hamilton-Jacobi\u504f\u5fae\u5206\u65b9\u7a0b<\/p>\n

2.9.3\u9f4a\u6b21\u88ab\u7a4d\u51fd\u6578<\/p>\n

2.9.4\u6975\u503c\u66f2\u7dda\u5834.Hamilton-Jacobi\u5fae\u5206\u65b9\u7a0b<\/p>\n

2.9.5\u5c04\u7dda\u9310\u9762.Huygens\u69cb\u9020\u6cd5<\/p>\n

2.9.6\u77ed\u6642\u8ddd\u7684\u8868\u793a\u5f0f\u7684Hilbert\u4e0d\u8b8a\u7a4d\u5206<\/p>\n

2.9.7 Hamilton-Jacobi\u5b9a\u7406<\/p>\n

2.10\u5178\u7bc4\u8b8a\u63db\u548c\u61c9\u7528<\/p>\n

2.10.1\u5178\u7bc4\u8b8a\u63db<\/p>\n

2.10.2 Hamilton-Jacobi\u5b9a\u7406\u7684\u65b0\u8b49\u660e<\/p>\n

2.10.3\u5e38\u6578\u7684\u8b8a\u6613\uff08\u5178\u7bc4\u64fe\u52d5\u7406\u8ad6\uff09<\/p>\n

\u7b2c2\u7ae0\u9644\u9304I<\/p>\n

2.1\u7279\u5fb5\u6d41\u5f62\u7684\u9032\u4e00\u6b65\u8a0e\u8ad6<\/p>\n

2.1.1\u95dc\u65bc\u5728n\u7dad\u7a7a\u9593\u4e2d\u6c42\u5c0e\u7684\u4e00\u4e9b\u6ce8\u91cb<\/p>\n

2.1.2\u521d\u503c\u554f\u984c.\u7279\u5fb5\u6d41\u5f62<\/p>\n

2.2\u5177\u6709\u76f8\u540c\u4e3b\u8981\u90e8\u5206\u7684\u64ec\u7dda\u6027\u5fae\u5206\u65b9\u7a0b\u7d44.\u7406\u8ad6\u7684\u65b0\u63a8\u6f14<\/p>\n

2.3 Haar\u7684\u552f\u4e00\u6027\u7684\u8b49\u660e<\/p>\n

\u7b2c2\u7ae0\u9644\u9304II\u5b88\u6052\u5b9a\u7406\u7684\u7406\u8ad6<\/p>\n

\u7b2c3\u7ae0\u9ad8\u968e\u5fae\u5206\u65b9\u7a0b<\/p>\n

3.1\u5169\u500b\u5f15\u6578\u7684\u4e8c\u968e\u7dda\u6027\u548c\u64ec\u7dda\u6027\u5fae\u5206\u904b\u7b97\u5143\u7684\u6a19\u6e96\u5f62\u5f0f<\/p>\n

3.1.1\u6a62\u5713\u578b\u3001\u96d9\u66f2\u578b\u548c\u62cb\u7269\u578b\u7684\u6a19\u6e96\u5f62\u5f0f.\u6df7\u5408\u578b<\/p>\n

3.1.2\u4f8b<\/p>\n

3.1.3\u5169\u500b\u5f15\u6578\u7684\u4e8c\u968e\u64ec\u7dda\u6027\u5fae\u5206\u65b9\u7a0b\u7684\u6a19\u6e96\u5f62\u5f0f<\/p>\n

3.1.4\u4f8b.\u6975\u5c0f\u66f2\u9762<\/p>\n

3.1.5\u5169\u500b\u4e00\u968e\u5fae\u5206\u65b9\u7a0b\u7684\u65b9\u7a0b\u7d44<\/p>\n

3.2\u4e00\u822c\u7684\u5206\u985e\u548c\u7279\u5fb5<\/p>\n

3.2.1\u8a18\u865f<\/p>\n

3.2.2\u5169\u500b\u5f15\u6578\u7684\u4e00\u968e\u65b9\u7a0b\u7d44.\u7279\u5fb5<\/p>\n

3.2.3 n\u500b\u5f15\u6578\u7684\u4e00\u968e\u65b9\u7a0b\u7d44<\/p>\n

3.2.4\u9ad8\u968e\u5fae\u5206\u65b9\u7a0b.\u96d9\u66f2\u6027<\/p>\n

3.2.5\u88dc\u6ce8<\/p>\n

3.2.6\u4f8b.Maxwell\u65b9\u7a0b\u548cDirac\u65b9\u7a0b<\/p>\n

3.3\u5e38\u4fc2\u6578\u7dda\u6027\u5fae\u5206\u65b9\u7a0b<\/p>\n

3.3.1\u4e8c\u968e\u65b9\u7a0b\u7684\u5206\u985e\u548c\u6a19\u6e96\u5f62<\/p>\n

3.3.2\u4e8c\u968e\u65b9\u7a0b\u7684\u57fa\u672c\u89e3<\/p>\n

3.3.3\u5e73\u9762\u6ce2<\/p>\n

3.3.4\u5e73\u9762\u6ce2\uff08\u7e8c\uff09.\u524d\u9032\u6ce2.\u5f4c\u6563<\/p>\n

3.3.5\u4f8b.\u96fb\u5831\u65b9\u7a0b.\u96fb\u7e9c\u4e2d\u7684\u7121\u7578\u8b8a\u6ce2<\/p>\n

3.3.6\u67f1\u9762\u6ce2\u548c\u7403\u9762\u6ce2<\/p>\n

3.4\u521d\u503c\u554f\u984c.\u6ce2\u52d5\u65b9\u7a0b\u7684\u8f3b\u5c04\u554f\u984c<\/p>\n

3.4.1\u71b1\u50b3\u5c0e\u7684\u521d\u503c\u554f\u984c. \u03b8 \u51fd\u6578\u7684\u8b8a\u63db<\/p>\n

3.4.2\u6ce2\u52d5\u65b9\u7a0b\u7684\u521d\u503c\u554f\u984c<\/p>\n

3.4.3 Duhamel\u539f\u7406.\u975e\u9f4a\u6b21\u65b9\u7a0b.\u5ef6\u540e\u52e2<\/p>\n

3.4.3\u4e00\u968e\u65b9\u7a0b\u7d44\u7684Duhamel\u539f\u7406<\/p>\n

3.4.4\u4e8c\u7dad\u7a7a\u9593\u88cf\u7684\u6ce2\u52d5\u65b9\u7a0b\u7684\u521d\u503c\u554f\u984c.\u964d\u7dad\u6cd5<\/p>\n

3.4.5\u8f3b\u5c04\u554f\u984c<\/p>\n

3.4.6\u50b3\u64ad\u73fe\u8c61\u548cHuygens\u539f\u7406<\/p>\n

3.5\u7528Fourier\u7a4d\u5206\u89e3\u521d\u503c\u554f\u984c<\/p>\n

3.5.1 Fourier\u7a4d\u5206\u7684Cauchy\u65b9\u6cd5<\/p>\n

3.5.2\u4f8b<\/p>\n

3.5.3 Cauchy\u65b9\u6cd5\u7684\u8b49\u660e<\/p>\n

3.6\u6578\u5b78\u7269\u7406\u5fae\u5206\u65b9\u7a0b\u7684\u66f2\u578b\u554f\u984c<\/p>\n

3.6.1\u5f15\u8a00<\/p>\n

3.6.2\u57fa\u672c\u539f\u7406<\/p>\n

3.6.3\u95dc\u65bc\u201c\u4e0d\u9069\u5b9a\u7684\u201d\u554f\u984c\u7684\u6ce8\u8a18<\/p>\n

3.6.4\u95dc\u65bc\u7dda\u6027\u554f\u984c\u7684\u4e00\u822c\u6ce8\u8a18<\/p>\n

\u7b2c3\u7ae0\u9644\u9304I<\/p>\n

3.1 Sobolev\u5f15\u7406<\/p>\n

3.2\u4f34\u96a8\u904b\u7b97\u5143<\/p>\n

3.2.1\u77e9\u9663\u904b\u7b97\u5143<\/p>\n

3.2.2\u4f34\u96a8\u5fae\u5206\u904b\u7b97\u5143<\/p>\n

\u7b2c3\u7ae0\u9644\u9304II Holmgren\u7684\u552f\u4e00\u6027\u5b9a\u7406<\/p>\n

\u7b2c4\u7ae0\u52e2\u8ad6\u53ca\u6a62\u5713\u578b\u5fae\u5206\u65b9\u7a0b<\/p>\n

4.1\u57fa\u672c\u6982\u5ff5<\/p>\n

4.1.1 Laplace\u65b9\u7a0b.Poisson\u65b9\u7a0b\u53ca\u6709\u95dc\u65b9\u7a0b<\/p>\n

4.1.2\u8cea\u91cf\u5206\u4f48\u7684\u52e2<\/p>\n

4.1.3 Green\u516c\u5f0f\u548c\u61c9\u7528<\/p>\n

4.1.4\u8cea\u91cf\u5206\u4f48\u7684\u52e2\u7684\u5c0e\u6578<\/p>\n

4.2 Poisson\u7a4d\u5206\u53ca\u5176\u61c9\u7528<\/p>\n

4.2.1\u908a\u503c\u554f\u984c\u53caGreen\u51fd\u6578<\/p>\n

4.2.2\u5c0d\u65bc\u5713\u548c\u7403\u7684Green\u51fd\u6578.\u5c0d\u65bc\u7403\u548c\u534a\u7a7a\u9593\u7684Poisson\u7a4d\u5206<\/p>\n

4.2.3 Poisson\u516c\u5f0f\u7684\u4e00\u4e9b\u63a8\u8ad6<\/p>\n

4.3\u5e73\u5747\u503c\u5b9a\u7406\u53ca\u5176\u61c9\u7528<\/p>\n

4.3.1\u9f4a\u6b21\u7684\u53ca\u975e\u9f4a\u6b21\u7684\u5e73\u5747\u503c\u65b9\u7a0b<\/p>\n

4.3.2\u5e73\u5747\u503c\u5b9a\u7406\u7684\u9006\u5b9a\u7406<\/p>\n

4.3.3\u5c0d\u65bc\u7a7a\u9593\u5206\u4f48\u7684\u52e2\u7684Poisson\u65b9\u7a0b<\/p>\n

4.3.4\u5176\u4ed6\u6a62\u5713\u578b\u5fae\u5206\u65b9\u7a0b\u7684\u5e73\u5747\u503c\u5b9a\u7406<\/p>\n

4.4\u908a\u503c\u554f\u984c<\/p>\n

4.4.1\u6e96\u5099\u77e5\u8b58.\u5c0d\u908a\u754c\u503c\u548c\u5340\u57df\u7684\u9023\u7e8c\u4f9d\u8cf4\u6027<\/p>\n

4.4.2\u7528Schwarz\u4ea4\u66ff\u6cd5\u6c42\u908a\u503c\u554f\u984c\u7684\u89e3<\/p>\n

4.4.3\u5c0d\u65bc\u5177\u6709\u5145\u5206\u5149\u6ed1\u908a\u754c\u7684\u5e73\u9762\u57df\u7684\u7a4d\u5206\u65b9\u7a0b\u6cd5<\/p>\n

4.4.4\u95dc\u65bc\u908a\u754c\u503c\u7684\u6ce8\u8a18<\/p>\n

4.4.4\u5bb9\u91cf\u548c\u908a\u754c\u503c\u7684\u53d6\u5f97<\/p>\n

4.4.5 Perron\u7684\u4e0b\u8abf\u548c\u51fd\u6578\u6cd5<\/p>\n

4.5\u7d04\u5316\u7684\u6ce2\u52d5\u65b9\u7a0b.\u6563\u5c04<\/p>\n

4.5.1\u80cc\u666f<\/p>\n

4.5.2 Sommerfeld\u7684\u8f3b\u5c04\u689d\u4ef6<\/p>\n

4.5.3\u6563\u5c04<\/p>\n

4.6\u66f4\u4e00\u822c\u7684\u6a62\u5713\u578b\u5fae\u5206\u65b9\u7a0b\u7684\u908a\u503c\u554f\u984c.\u89e3\u7684\u552f\u4e00\u6027<\/p>\n

4.6.1\u7dda\u6027\u5fae\u5206\u65b9\u7a0b<\/p>\n

4.6.2\u975e\u7dda\u6027\u65b9\u7a0b<\/p>\n

4.6.3\u95dc\u65bcMonge-Amp\u00e8re\u5fae\u5206\u65b9\u7a0b\u7684Rellich\u5b9a\u7406<\/p>\n

4.6.4\u6975\u5927\u503c\u539f\u7406\u53ca\u61c9\u7528<\/p>\n

4.7 Schauder\u7684\u5148\u9a57\u4f30\u8a08\u53ca\u5176\u61c9\u7528<\/p>\n

4.7.1 Schauder\u7684\u4f30\u8a08<\/p>\n

4.7.2\u908a\u503c\u554f\u984c\u7684\u89e3<\/p>\n

4.7.3\u5f3a\u9598\u51fd\u6578\u53ca\u5176\u61c9\u7528<\/p>\n

4.7.4 L[u]=f\u7684\u89e3\u7684\u67d0\u4e9b\u6027\u8cea<\/p>\n

4.7.5\u95dc\u65bc\u6a62\u5713\u578b\u65b9\u7a0b\u7684\u9032\u4e00\u6b65\u7684\u7d50\u679c.\u5728\u908a\u754c\u4e0a\u7684\u6027\u614b<\/p>\n

4.8 Beltrami\u65b9\u7a0b\u7684\u89e3<\/p>\n

4.9\u95dc\u65bc\u4e00\u500b\u7279\u6b8a\u64ec\u7dda\u6027\u65b9\u7a0b\u7684\u908a\u503c\u554f\u984c.Leray\u548cSchauder\u7684\u4e0d\u52d5\u9ede\u6cd5<\/p>\n

4.10\u7528\u7a4d\u5206\u65b9\u7a0b\u6cd5\u89e3\u6a62\u5713\u578b\u5fae\u5206\u65b9\u7a0b<\/p>\n

4.10.1\u7279\u89e3\u7684\u69cb\u9020.\u57fa\u672c\u89e3.\u53c3\u52a9\u51fd\u6578<\/p>\n

4.10.2\u9644\u6ce8<\/p>\n

\u7b2c4\u7ae0\u9644\u9304I\u975e\u7dda\u6027\u65b9\u7a0b<\/p>\n

4.1\u64fe\u52d5\u7406\u8ad6<\/p>\n

4.2\u65b9\u7a0b \u0394 u=f\uff08x\uff1bu\uff09<\/p>\n

\u7b2c4\u7ae0\u9644\u9304II\u6a62\u5713\u578b\u504f\u5fae\u5206\u65b9\u7a0b\u7406\u8ad6\u7684\u51fd\u6578\u8ad6\u89c0<\/p>\n

4.1\u51c6\u89e3\u6790\u51fd\u6578\u7684\u5b9a\u7fa9<\/p>\n

4.2\u4e00\u500b\u7a4d\u5206\u65b9\u7a0b<\/p>\n

4.3\u76f8\u4f3c\u6027\u539f\u7406<\/p>\n

4.4\u76f8\u4f3c\u6027\u539f\u7406\u7684\u61c9\u7528<\/p>\n

4.5\u5f62\u5f0f\u5e42<\/p>\n

4.6\u51c6\u89e3\u6790\u51fd\u6578\u7684\u5fae\u5206\u8207\u7a4d\u5206<\/p>\n

4.7\u4f8b.\u6df7\u5408\u578b\u65b9\u7a0b<\/p>\n

4.8\u51c6\u89e3\u6790\u51fd\u6578\u7684\u4e00\u822c\u5b9a\u7fa9<\/p>\n

4.9\u64ec\u5171\u5f62\u6027\u548c\u4e00\u500b\u4e00\u822c\u8868\u793a\u5b9a\u7406<\/p>\n

4.10\u4e00\u500b\u975e\u7dda\u6027\u908a\u503c\u554f\u984c<\/p>\n

4.11 Riemann\u6620\u5c04\u5b9a\u7406\u7684\u4e00\u500b\u63a8\u5ee3<\/p>\n

4.12\u95dc\u65bc\u6975\u5c0f\u66f2\u9762\u7684\u5169\u500b\u5b9a\u7406<\/p>\n

4.13\u5177\u6709\u89e3\u6790\u4fc2\u6578\u7684\u65b9\u7a0b<\/p>\n

4.14 Privaloff\u7684\u5b9a\u7406\u7684\u8b49\u660e<\/p>\n

4.15 Schauder\u4e0d\u52d5\u9ede\u5b9a\u7406\u7684\u8b49\u660e<\/p>\n

\u7b2c5\u7ae0\u5169\u500b\u5f15\u6578\u7684\u96d9\u66f2\u578b\u5fae\u5206\u65b9\u7a0b<\/p>\n

5.0\u5f15\u8a00<\/p>\n

5.1\u95dc\u65bc\u4e3b\u8981\u662f\u4e8c\u968e\u7684\u5fae\u5206\u65b9\u7a0b\u7684\u7279\u5fb5<\/p>\n

5.1.1\u57fa\u672c\u6982\u5ff5.\u64ec\u7dda\u6027\u65b9\u7a0b<\/p>\n

5.1.2\u7a4d\u5206\u66f2\u9762\u4e0a\u7684\u7279\u5fb5<\/p>\n

5.1.3\u7279\u5fb5\u7dda\u662f\u9593\u65b7\u6027\u7684\u66f2\u7dda.\u6ce2\u524d.\u9593\u65b7\u6027\u7684\u50b3\u64ad<\/p>\n

5.1.4\u4e00\u822c\u7684\u4e8c\u968e\u5fae\u5206\u65b9\u7a0b<\/p>\n

5.1.5\u9ad8\u968e\u5fae\u5206\u65b9\u7a0b<\/p>\n

5.1.6\u7279\u5fb5\u5728\u9ede\u8b8a\u63db\u4e0b\u7684\u4e0d\u8b8a\u6027<\/p>\n

5.1.7\u5316\u70ba\u4e00\u968e\u64ec\u7dda\u6027\u65b9\u7a0b\u7d44<\/p>\n

5.2\u4e00\u968e\u96d9\u66f2\u578b\u65b9\u7a0b\u7d44\u7684\u7279\u5fb5\u6a19\u6e96\u5f62\u5f0f<\/p>\n

5.2.1\u7dda\u6027\u3001\u534a\u7dda\u6027\u53ca\u64ec\u7dda\u6027\u65b9\u7a0b\u7d44<\/p>\n

5.2.2 k=2\u7684\u60c5\u5f62.\u7528\u901f\u77e2\u7aef\u7dda\u8b8a\u63db\u6cd5\u9054\u5230\u7dda\u6027\u5316<\/p>\n

5.3\u5728\u53ef\u58d3\u7e2e\u6d41\u9ad4\u52d5\u529b\u5b78\u4e0a\u7684\u61c9\u7528<\/p>\n

5.3.1\u4e00\u7dad\u7b49\u71b5\u6d41<\/p>\n

5.3.2\u7403\u9762\u5c0d\u7a31\u6d41<\/p>\n

5.3.3\u5b9a\u5e38\u7121\u65cb\u6d41<\/p>\n

5.3.4\u95dc\u65bc\u975e\u7b49\u71b5\u6d41\u7684\u4e09\u500b\u65b9\u7a0b\u7684\u7d44<\/p>\n

5.3.5\u7dda\u6027\u5316\u7684\u65b9\u7a0b<\/p>\n

5.4\u552f\u4e00\u6027.\u4f9d\u8cf4\u5340\u57df<\/p>\n

5.4.1\u4f9d\u8cf4\u5340\u57df\u3001\u5f71\u97ff\u5340\u57df\u53ca\u51b3\u5b9a\u5340\u57df<\/p>\n

5.4.2\u5c0d\u65bc\u4e8c\u968e\u7dda\u6027\u5fae\u5206\u65b9\u7a0b\u89e3\u7684\u552f\u4e00\u6027\u7684\u8b49\u660e<\/p>\n

5.4.3\u5c0d\u65bc\u4e00\u968e\u7dda\u6027\u7d44\u7684\u4e00\u822c\u552f\u4e00\u6027\u5b9a\u7406<\/p>\n

5.4.4\u95dc\u65bc\u64ec\u7dda\u6027\u7d44\u7684\u552f\u4e00\u6027<\/p>\n

5.4.5\u80fd\u91cf\u4e0d\u7b49\u5f0f<\/p>\n

5.5\u89e3\u7684Riemann\u8868\u793a<\/p>\n

5.5.1\u521d\u503c\u554f\u984c<\/p>\n

5.5.2 Riemann\u51fd\u6578<\/p>\n

5.5.3 Riemann\u51fd\u6578\u7684\u5c0d\u7a31\u6027<\/p>\n

5.5.4 Riemann\u51fd\u6578\u53ca\u7531\u4e00\u9ede\u767c\u51fa\u7684\u8f3b\u5c04.\u5411\u9ad8\u968e\u554f\u984c\u7684\u63a8\u5ee3<\/p>\n

5.5.5\u4f8b<\/p>\n

5.6\u7528\u53cd\u8986\u904b\u7b97\u6cd5\u89e3\u7dda\u6027\u548c\u534a\u7dda\u6027\u96d9\u66f2\u578b\u7684\u521d\u503c\u554f\u984c<\/p>\n

5.6.1\u4e8c\u968e\u65b9\u7a0b\u7684\u89e3\u7684\u69cb\u9020<\/p>\n

5.6.2\u5c0d\u65bc\u4e00\u968e\u7dda\u6027\u53ca\u534a\u7dda\u6027\u7d44\u7684\u8a18\u865f\u548c\u7d50\u679c<\/p>\n

5.6.3\u89e3\u7684\u69cb\u9020<\/p>\n

5.6.4\u9644\u6ce8.\u89e3\u5c0d\u53c3\u6578\u7684\u4f9d\u8cf4\u6027<\/p>\n

5.6.5\u6df7\u5408\u521d\u503c\u53ca\u908a\u503c\u554f\u984c<\/p>\n

5.7\u95dc\u65bc\u64ec\u7dda\u6027\u7d44\u7684Cauchy\u554f\u984c<\/p>\n

5.8\u5c0d\u65bc\u55ae\u500b\u7684\u9ad8\u968e\u96d9\u66f2\u578b\u5fae\u5206\u65b9\u7a0b\u7684Cauchy\u554f\u984c<\/p>\n

5.8.1\u5316\u70ba\u4e00\u968e\u7279\u5fb5\u7d44<\/p>\n

5.8.2 L[u]\u7684\u7279\u5fb5\u8868\u793a<\/p>\n

5.8.3 Gauchy\u554f\u984c\u7684\u89e3<\/p>\n

5.8.4\u5176\u4ed6\u89e3\u6cd5.P.Ungar\u7d66\u51fa\u7684\u4e00\u500b\u5b9a\u7406<\/p>\n

5.8.5\u9644\u6ce8<\/p>\n

5.9\u89e3\u7684\u9593\u65b7\u6027.\u6fc0\u6ce2<\/p>\n

5.9.1\u5ee3\u7fa9\u89e3.\u5f31\u89e3<\/p>\n

5.9.2\u8868\u73fe\u5b88\u6052\u5b9a\u5f8b\u7684\u64ec\u7dda\u6027\u7d44\u7684\u9593\u65b7\u6027.\u6fc0\u6ce2<\/p>\n

\u7b2c5\u7ae0\u9644\u9304I\u7279\u5fb5\u4f5c\u70ba\u5ea7\u6a19\u7684\u61c9\u7528<\/p>\n

5.1\u95dc\u65bc\u4e00\u822c\u4e8c\u968e\u975e\u7dda\u6027\u65b9\u7a0b\u7684\u9644\u6ce8<\/p>\n

5.1.1\u64ec\u7dda\u6027\u5fae\u5206\u65b9\u7a0b<\/p>\n

5.1.2\u4e00\u822c\u7684\u975e\u7dda\u6027\u65b9\u7a0b<\/p>\n

5.2 Monge-Amp\u00e8ere\u65b9\u7a0b\u7684\u7279\u6b8a\u6027\u8cea<\/p>\n

5.3\u5229\u7528\u8907\u6578\u57df\u7531\u6a62\u5713\u578b\u8f49\u8b8a\u70ba\u96d9\u66f2\u578b\u7684\u60c5\u5f62<\/p>\n

5.4\u5728\u6a62\u5713\u578b\u60c5\u5f62\u4e2d\u89e3\u7684\u89e3\u6790\u6027<\/p>\n

5.4.1\u51fd\u6578\u8ad6\u7684\u6ce8\u8a18<\/p>\n

5.4.2 \u0394 u=f\uff08x\uff1by\uff1bu\uff1bp\uff1bq\uff09\u7684\u89e3\u7684\u89e3\u6790\u6027<\/p>\n

5.4.3\u95dc\u65bc\u4e00\u822c\u5fae\u5206\u65b9\u7a0bF\uff08x\uff1by\uff1bu\uff1bp\uff1bq\uff1br\uff1bs\uff1bt\uff09=0\u7684\u6ce8\u8a18<\/p>\n

5.5\u5c0d\u65bc\u89e3\u7684\u5ef6\u62d3\u4f7f\u7528\u8907\u6578\u91cf<\/p>\n

\u7b2c5\u7ae0\u9644\u9304II\u77ac\u614b\u554f\u984c\u8207Heaviside\u904b\u7b97\u5fae\u7a4d<\/p>\n

5.1\u7528\u7a4d\u5206\u8868\u793a\u89e3\u77ac\u614b\u554f\u984c<\/p>\n

5.1.1\u986f\u4f8b.\u6ce2\u52d5\u65b9\u7a0b<\/p>\n

5.1.2\u554f\u984c\u7684\u4e00\u822c\u6027\u63d0\u6cd5<\/p>\n

5.1.3 Duhamel\u7a4d\u5206<\/p>\n

5.1.4\u5be6\u9a57\u89e3\u758a\u52a0\u6cd5<\/p>\n

5.2 Heaviside\u904b\u7b97\u5143\u6cd5<\/p>\n

5.2.1\u6700\u7c21\u55ae\u7684\u904b\u7b97\u5143<\/p>\n

5.2.2\u904b\u7b97\u5143\u5be6\u4f8b\u53ca\u61c9\u7528<\/p>\n

5.2.3\u61c9\u7528\u65bc\u50b3\u71b1\u554f\u984c<\/p>\n

5.2.4\u6ce2\u52d5\u65b9\u7a0b<\/p>\n

5.2.5\u904b\u7b97\u5fae\u7a4d\u7684\u7406\u8ad6\u6839\u64da.\u5176\u4ed6\u4e00\u4e9b\u904b\u7b97\u5143\u7684\u89e3\u91cb<\/p>\n

5.3\u77ac\u614b\u554f\u984c\u7684\u4e00\u822c\u7406\u8ad6<\/p>\n

5.3.1 Laplace\u8b8a\u63db<\/p>\n

5.3.2\u7528Laplace\u8b8a\u63db\u89e3\u77ac\u614b\u554f\u984c<\/p>\n

5.3.3\u8209\u4f8b.\u6ce2\u52d5\u65b9\u7a0b\u8207\u96fb\u5831\u65b9\u7a0b<\/p>\n

\u7b2c6\u7ae0\u591a\u65bc\u5169\u500b\u5f15\u6578\u7684\u96d9\u66f2\u578b\u5fae\u5206\u65b9\u7a0b<\/p>\n

6.0\u5f15\u8a00<\/p>\n

\u7b2c\u4e00\u90e8\u5206\u89e3\u7684\u552f\u4e00\u6027\u3001\u69cb\u9020\u3001\u5e7e\u4f55\u6027\u8cea<\/p>\n

6.1\u4e8c\u968e\u5fae\u5206\u65b9\u7a0b.\u7279\u5fb5\u7684\u5e7e\u4f55\u6027\u8cea<\/p>\n

6.1.1\u4e8c\u968e\u64ec\u7dda\u6027\u5fae\u5206\u65b9\u7a0b<\/p>\n

6.1.2\u7dda\u6027\u5fae\u5206\u65b9\u7a0b<\/p>\n

6.1.3\u5c04\u7dda\u6216\u96d9\u7279\u5fb5<\/p>\n

6.1.4\u7279\u5fb5\u66f2\u9762\u4f5c\u70ba\u6ce2\u524d<\/p>\n

6.1.5\u7279\u5fb5\u7684\u4e0d\u8b8a\u6027<\/p>\n

6.1.6\u5c04\u7dda\u9310\u9762.\u6cd5\u9310\u9762.\u5c04\u7dda\u5288\u9310\u9762<\/p>\n

6.1.7\u8207Riemann\u5c3a\u5ea6\u7684\u806f\u7cfb<\/p>\n

6.1.8\u5c0d\u5c04\u8b8a\u63db<\/p>\n

6.1.9 Huygens\u7684\u6ce2\u524d\u69cb\u5716\u6cd5<\/p>\n

6.1.10\u985e\u7a7a\u9593\u66f2\u9762.\u985e\u6642\u9593\u65b9\u5411<\/p>\n

6.2\u4e8c\u968e\u65b9\u7a0b.\u7279\u5fb5\u7684\u4f5c\u7528<\/p>\n

6.2.1\u4e8c\u968e\u9593\u65b7\u6027<\/p>\n

6.2.2\u6cbf\u7279\u5fb5\u66f2\u9762\u7684\u5fae\u5206\u65b9\u7a0b<\/p>\n

6.2.3\u9593\u65b7\u6027\u6cbf\u5c04\u7dda\u7684\u50b3\u64ad<\/p>\n

6.2.4\u4f8b\u8b49.\u4e09\u7dad\u7a7a\u9593\u88cf\u6ce2\u52d5\u65b9\u7a0bCauchy\u554f\u984c\u7684\u89e3<\/p>\n

6.3\u9ad8\u968e\u904b\u7b97\u5143\u7684\u7279\u5fb5\u6d41\u5f62\u7684\u5e7e\u4f55\u6027\u8cea<\/p>\n

6.3.1\u8a18\u865f<\/p>\n

6.3.2\u7279\u5fb5\u66f2\u9762.\u7279\u5fb5\u5f62.\u7279\u5fb5\u77e9\u9663<\/p>\n

6.3.3\u7279\u5fb5\u689d\u4ef6\u5728\u6642\u7a7a\u4e2d\u7684\u89e3\u91cb.\u6cd5\u9310\u9762\u8207\u6cd5\u66f2\u9762.\u7279\u5fb5\u96f6\u5316\u5411\u91cf\u8207\u672c\u5f81\u503c<\/p>\n

6.3.4\u7279\u5fb5\u66f2\u9762–\u6ce2\u524d\u7684\u69cb\u9020.\u5c04\u7dda\u3001\u5c04\u7dda\u9310\u9762\u3001\u5c04\u7dda\u5288\u9310\u9762<\/p>\n

6.3.5\u6ce2\u524d\u8207Huygens\u7684\u69cb\u5716\u6cd5.\u5c04\u7dda\u66f2\u9762\u8207\u6cd5\u66f2\u9762<\/p>\n

6.3.6\u4e0d\u8b8a\u6027<\/p>\n

6.3.7\u96d9\u66f2\u6027.\u985e\u7a7a\u9593\u6d41\u5f62\u3001\u985e\u6642\u9593\u65b9\u5411<\/p>\n

6.3.8\u5c0d\u7a31\u96d9\u66f2\u578b\u904b\u7b97\u5143<\/p>\n

6.3.9\u9ad8\u968e\u5c0d\u7a31\u96d9\u66f2\u578b\u65b9\u7a0b<\/p>\n

6.3.10\u591a\u91cd\u7279\u5fb5\u66f2\u9762\u8449\u548c\u53ef\u7d04\u5316\u6027<\/p>\n

6.3.11\u95dc\u65bc\u96d9\u7279\u5fb5\u65b9\u5411\u7684\u5f15\u7406<\/p>\n

6.3\u4f8b.\u6d41\u9ad4\u52d5\u529b\u5b78\u3001\u6676\u9ad4\u5149\u5b78\u3001\u78c1\u6d41\u9ad4\u52d5\u529b\u5b78<\/p>\n

6.3.1\u5f15\u8a00<\/p>\n

6.3.2\u6d41\u9ad4\u52d5\u529b\u5b78\u5fae\u5206\u65b9\u7a0b\u7d44<\/p>\n

6.3.3\u6676\u9ad4\u5149\u5b78<\/p>\n

6.3.4\u6cd5\u66f2\u9762\u548c\u5c04\u7dda\u66f2\u9762\u7684\u5f62\u72c0<\/p>\n

6.3.5\u6676\u9ad4\u5149\u5b78\u7684Cauchy\u554f\u984c<\/p>\n

6.3.6\u78c1\u6d41\u9ad4\u52d5\u529b\u5b78<\/p>\n

6.4\u9593\u65b7\u6027\u7684\u50b3\u64ad\u548cCauchy\u554f\u984c<\/p>\n

6.4.1\u5f15\u8a00<\/p>\n

6.4.2\u4e00\u968e\u65b9\u7a0b\u7d44\u7684\u4e00\u968e\u5c0e\u6578\u7684\u9593\u65b7\u6027.\u8f38\u52d5\u65b9\u7a0b<\/p>\n

6.4.3\u521d\u59cb\u503c\u7684\u9593\u65b7\u6027.\u7406\u60f3\u51fd\u6578\u7684\u5f15\u5165.\u524d\u9032\u6ce2<\/p>\n

6.4.4\u4e00\u968e\u65b9\u7a0b\u7d44\u7684\u9593\u65b7\u6027\u7684\u50b3\u64ad<\/p>\n

6.4.5\u91cd\u6578\u4e0d\u8b8a\u7684\u7279\u5fb5<\/p>\n

6.4.5\u9593\u65b7\u6027\u6cbf\u9ad8\u65bc\u4e00\u7dad\u7684\u6d41\u5f62\u800c\u50b3\u64ad\u7684\u4f8b\u5b50.\u9310\u5f62\u6298\u5c04<\/p>\n

6.4.6\u521d\u59cb\u9593\u65b7\u7684\u5206\u89e3\u548cCauchy\u554f\u984c\u7684\u89e3<\/p>\n

6.4.6\u7279\u5fb5\u66f2\u9762\u4f5c\u70ba\u6ce2\u524d<\/p>\n

6.4.7\u7528\u6536\u6582\u7684\u6ce2\u5c55\u958b\u5f0f\u89e3Cauchy\u554f\u984c<\/p>\n

6.4.8\u4e8c\u968e\u548c\u9ad8\u968e\u7684\u65b9\u7a0b\u7d44<\/p>\n

6.4.9\u88dc\u6ce8.\u5f31\u89e3.\u6fc0\u6ce2<\/p>\n

6.5\u632f\u76ea\u7684\u521d\u59cb\u503c.\u89e3\u7684\u6f38\u8fd1\u5c55\u958b\u5f0f.\u5411\u5e7e\u4f55\u5149\u5b78\u7684\u904e\u6e21<\/p>\n

6.5.1\u524d\u6ce8.\u9ad8\u968e\u524d\u9032\u6ce2<\/p>\n

6.5.2\u6f38\u8fd1\u89e3\u7684\u69cb\u9020<\/p>\n

6.5.3\u5e7e\u4f55\u5149\u5b78<\/p>\n

6.6\u521d\u503c\u554f\u984c\u7684\u552f\u4e00\u6027\u5b9a\u7406\u548c\u4f9d\u8cf4\u5340\u57df\u7684\u4f8b\u5b50<\/p>\n

6.6.1\u6ce2\u52d5\u65b9\u7a0b<\/p>\n

6.6.2\u5fae\u5206\u65b9\u7a0butt- \u0394 u+\uff08 \u03bb\/ t\uff09ut=0\uff08Darboux\u65b9\u7a0b\uff09<\/p>\n

6.6.3\u771f\u7a7a\u4e2d\u7684Maxwell\u65b9\u7a0b<\/p>\n

6.7\u96d9\u66f2\u578b\u554f\u984c\u7684\u4f9d\u8cf4\u5340\u57df<\/p>\n

6.7.1\u5f15\u8a00<\/p>\n

6.7.2\u4f9d\u8cf4\u5340\u57df\u7684\u63cf\u8ff0<\/p>\n

6.8\u80fd\u91cf\u7a4d\u5206\u548c\u4e00\u968e\u7dda\u6027\u5c0d\u7a31\u96d9\u66f2\u578b\u65b9\u7a0b\u7d44\u7684\u552f\u4e00\u6027\u5b9a\u7406<\/p>\n

6.8.1\u80fd\u91cf\u7a4d\u5206\u548cCauchy\u554f\u984c\u7684\u552f\u4e00\u6027<\/p>\n

6.8.2\u4e00\u968e\u7684\u548c\u9ad8\u968e\u7684\u80fd\u91cf\u7a4d\u5206<\/p>\n

6.8.3\u6df7\u5408\u521d\u908a\u503c\u554f\u984c\u7684\u80fd\u91cf\u4e0d\u7b49\u5f0f<\/p>\n

6.8.4\u5c0d\u65bc\u55ae\u500b\u4e8c\u968e\u65b9\u7a0b\u7684\u80fd\u91cf\u7a4d\u5206<\/p>\n

6.9\u9ad8\u968e\u65b9\u7a0b\u7684\u80fd\u91cf\u4f30\u8a08<\/p>\n

6.9.1\u5f15\u8a00<\/p>\n

6.9.2\u95dc\u65bc\u9ad8\u968e\u96d9\u66f2\u578b\u904b\u7b97\u5143\u7684\u89e3\u7684\u80fd\u91cf\u6052\u7b49\u5f0f\u548c\u4e0d\u7b49\u5f0f.Leray\u8207Garding\u7684\u65b9\u6cd5<\/p>\n

6.9.3\u5176\u4ed6\u65b9\u6cd5<\/p>\n

6.10\u5b58\u5728\u5b9a\u7406<\/p>\n

6.10.1\u5f15\u8a00<\/p>\n

6.10.2\u5b58\u5728\u5b9a\u7406<\/p>\n

6.10.3\u95dc\u65bc\u521d\u59cb\u503c\u6027\u8cea\u7684\u6301\u4e45\u6027\u548c\u95dc\u65bc\u76f8\u61c9\u7684\u534a\u7fa4\u7684\u4e00\u4e9b\u6ce8\u8a18.Huygens\u5c0f\u539f\u7406<\/p>\n

6.10.4\u805a\u7126.\u53ef\u5fae\u6027\u975e\u6301\u4e45\u7684\u4f8b\u5b50<\/p>\n

6.10.5\u95dc\u65bc\u64ec\u7dda\u6027\u65b9\u7a0b\u7d44\u7684\u6ce8\u8a18<\/p>\n

6.10.6\u95dc\u65bc\u9ad8\u968e\u65b9\u7a0b\u6216\u975e\u5c0d\u7a31\u65b9\u7a0b\u7d44\u7684\u6ce8\u8a18<\/p>\n

\u7b2c\u4e8c\u90e8\u5206\u89e3\u7684\u8868\u793a<\/p>\n

6.11\u5f15\u8a00<\/p>\n

6.11.1\u6982\u8ff0.\u8a18\u865f<\/p>\n

6.11.2\u4e00\u4e9b\u7a4d\u5206\u516c\u5f0f.\u51fd\u6578\u7684\u5e73\u9762\u6ce2\u5206\u89e3\u5f0f<\/p>\n

6.12\u5e38\u4fc2\u6578\u4e8c\u968e\u65b9\u7a0b<\/p>\n

6.12.1 Cauchy\u554f\u984c<\/p>\n

6.12.2\u6ce2\u52d5\u65b9\u7a0b\u7684\u89e3\u7684\u69cb\u9020<\/p>\n

6.12.3\u964d\u7dad\u6cd5<\/p>\n

6.12.4\u89e3\u7684\u9032\u4e00\u6b65\u7684\u8a0e\u8ad6Huygens\u539f\u7406<\/p>\n

6.12.5\u975e\u9f4a\u6b21\u65b9\u7a0b.Duhamel\u7a4d\u5206<\/p>\n

6.12.6\u4e00\u822c\u4e8c\u968e\u7dda\u6027\u65b9\u7a0b\u7684Cauchy\u554f\u984c<\/p>\n

6.12.7\u8f3b\u5c04\u554f\u984c<\/p>\n

6.13\u7403\u9762\u5e73\u5747\u6cd5.\u6ce2\u52d5\u65b9\u7a0b\u8207Darboux\u65b9\u7a0b<\/p>\n

6.13.1\u95dc\u65bc\u5e73\u5747\u503c\u7684Darboux\u5fae\u5206\u65b9\u7a0b<\/p>\n

6.13.2\u8207\u6ce2\u52d5\u65b9\u7a0b\u7684\u806f\u7cfb<\/p>\n

6.13.3\u6ce2\u52d5\u65b9\u7a0b\u7684\u8f3b\u5c04\u554f\u984c<\/p>\n

6.13.4\u5ee3\u7fa9\u524d\u9032\u7403\u9762\u6ce2<\/p>\n

6.13\u7528\u7403\u9762\u5e73\u5747\u6cd5\u89e3\u5f48\u6027\u6ce2\u7684\u521d\u503c\u554f\u984c<\/p>\n

6.14\u5e73\u9762\u5e73\u5747\u503c\u6cd5.\u5c0d\u65bc\u4e00\u822c\u5e38\u4fc2\u6578\u96d9\u66f2\u578b\u65b9\u7a0b\u7684\u61c9\u7528<\/p>\n

6.14.1\u4e00\u822c\u65b9\u6cd5<\/p>\n

6.14.2\u5728\u89e3\u6ce2\u52d5\u65b9\u7a0b\u4e0a\u7684\u61c9\u7528<\/p>\n

6.14\u5728\u6676\u9ad4\u5149\u5b78\u65b9\u7a0b\u548c\u5176\u4ed6\u56db\u968e\u65b9\u7a0b\u4e0a\u7684\u61c9\u7528<\/p>\n

6.14.1 Cauchy\u554f\u984c\u7684\u89e3<\/p>\n

6.14.2\u89e3\u7684\u9032\u4e00\u6b65\u7684\u8a0e\u8ad6.\u4f9d\u8cf4\u5340\u57df.\u9699\u7aa9<\/p>\n

6.15 Cauchy\u554f\u984c\u7684\u89e3\u4f5c\u70ba\u6578\u64da\u7684\u7dda\u6027\u6cdb\u51fd.\u57fa\u672c\u89e3<\/p>\n

6.15.1\u8aaa\u660e.\u8a18\u865f<\/p>\n

6.15.2\u501f\u52a9\u65bc \u03b4 \u51fd\u6578\u7684\u5206\u89e3\u4f86\u69cb\u9020\u8f3b\u5c04\u51fd\u6578<\/p>\n

6.15.3\u8f3b\u5c04\u77e9\u9663\u7684\u6b63\u5247\u6027<\/p>\n

6.15.3\u5ee3\u7fa9Huygens\u539f\u7406<\/p>\n

6.15.4\u4f8b\u5b50.\u7279\u6b8a\u7684\u5e38\u4fc2\u6578\u7dda\u6027\u65b9\u7a0b\u7d44.\u9699\u7aa9\u5b9a\u7406<\/p>\n

6.15.5\u4f8b\u5b50.\u6ce2\u52d5\u65b9\u7a0b<\/p>\n

6.15.6\u4f8b\u5b50.\u95dc\u65bc\u55ae\u500b\u4e8c\u968e\u65b9\u7a0b\u7684Hadamard\u7684\u7406\u8ad6<\/p>\n

6.15.7\u9032\u4e00\u6b65\u7684\u4f8b\u5b50.\u5169\u500b\u5f15\u6578.\u6ce8\u8a18<\/p>\n

6.16\u8d85\u96d9\u66f2\u578b\u5fae\u5206\u65b9\u7a0b\u548c\u4e00\u822c\u5e38\u4fc2\u6578\u4e8c\u968e\u65b9\u7a0b<\/p>\n

6.16.1 Asgeirsson\u7684\u4e00\u822c\u5e73\u5747\u503c\u5b9a\u7406<\/p>\n

6.16.2\u5e73\u5747\u503c\u5b9a\u7406\u7684\u5225\u8b49<\/p>\n

6.16.3\u5728\u6ce2\u52d5\u65b9\u7a0b\u4e0a\u7684\u61c9\u7528<\/p>\n

6.16.4\u6ce2\u52d5\u65b9\u7a0b\u7684\u7279\u5fb5\u521d\u503c\u554f\u984c\u7684\u89e3<\/p>\n

6.16.5\u5176\u4ed6\u61c9\u7528.\u95dc\u65bc\u5171\u7126\u6a62\u7403\u65cf\u7684\u5e73\u5747\u503c\u5b9a\u7406<\/p>\n

6.17\u5c0d\u65bc\u975e\u985e\u7a7a\u9593\u521d\u59cb\u6d41\u5f62\u7684\u521d\u503c\u554f\u984c<\/p>\n

6.17.1\u7531\u4e2d\u5fc3\u5728\u4e00\u500b\u5e73\u9762\u4e0a\u7684\u7403\u4e0a\u7684\u5e73\u5747\u503c\u78ba\u5b9a\u7684\u51fd\u6578<\/p>\n

6.17.2\u5728\u521d\u503c\u554f\u984c\u4e0a\u7684\u61c9\u7528<\/p>\n

6.18\u95dc\u65bc\u524d\u9032\u6ce2\u7684\u6ce8\u8a18\uff0c\u8a0a\u865f\u7684\u50b3\u64ad\u548cHuygens\u539f\u7406<\/p>\n

6.18.1\u7121\u7578\u8b8a\u524d\u9032\u6ce2<\/p>\n

6.18.2\u7403\u9762\u6ce2<\/p>\n

6.18.3\u8f3b\u5c04\u8207Huygens\u539f\u7406<\/p>\n

<\/p>\n

\u7b2c6\u7ae0\u9644\u9304\u5ee3\u7fa9\u51fd\u6578–\u5206\u4f48<\/p>\n

6.1\u57fa\u672c\u5b9a\u7fa9\u548c\u6982\u5ff5<\/p>\n

6.1.1\u5f15\u8a00<\/p>\n

6.1.2\u7406\u60f3\u5143<\/p>\n

6.1.3\u8a18\u865f\u548c\u5b9a\u7fa9<\/p>\n

6.1.4\u758a\u7a4d\u5206<\/p>\n

6.1.5\u7dda\u6027\u6cdb\u51fd\u8207\u904b\u7b97\u5143–\u96d9\u4e00\u6b21\u578b<\/p>\n

6.1.6\u6cdb\u51fd\u7684\u9023\u7e8c\u6027.\u8a66\u63a2\u51fd\u6578\u7684\u652f\u96c6<\/p>\n

6.1.7\u95dc\u65bcr\u9023\u7e8c\u6027\u7684\u5f15\u7406<\/p>\n

6.1.8\u5e7e\u500b\u8f14\u52a9\u51fd\u6578<\/p>\n

6.1.9\u4f8b<\/p>\n

6.2\u5ee3\u7fa9\u51fd\u6578<\/p>\n

6.2.1\u5f15\u8a00<\/p>\n

6.2.2\u7528\u7dda\u6027\u5fae\u5206\u904b\u7b97\u5143\u53bb\u5b9a\u7fa9<\/p>\n

6.2.3\u7528\u5f31\u6975\u9650\u53bb\u5b9a\u7fa9<\/p>\n

6.2.4\u7528\u7dda\u6027\u6cdb\u51fd\u53bb\u5b9a\u7fa9<\/p>\n

6.2.5\u7b49\u50f9\u6027.\u6cdb\u51fd\u7684\u8868\u793a<\/p>\n

6.2.6\u5e7e\u500b\u7d50\u8ad6<\/p>\n

6.2.7\u4f8b\u5b50. \u03b4 \u51fd\u6578<\/p>\n

6.2.8\u5ee3\u7fa9\u51fd\u6578\u8207\u901a\u5e38\u51fd\u6578\u7684\u7b49\u540c<\/p>\n

6.2.9\u5b9a\u7a4d\u5206.\u6709\u9650\u90e8\u5206<\/p>\n

6.3\u5ee3\u7fa9\u51fd\u6578\u7684\u6f14\u7b97<\/p>\n

6.3.1\u7dda\u6027\u904b\u7b97<\/p>\n

6.3.2\u5f15\u6578\u7684\u4ee3\u63db<\/p>\n

6.3.3\u4f8b\u5b50. \u03b4 \u51fd\u6578\u7684\u8b8a\u63db<\/p>\n

6.3.4\u5ee3\u7fa9\u51fd\u6578\u7684\u76f8\u4e58\u8207\u8936\u7a4d<\/p>\n

6.4\u88dc\u6ce8.\u7406\u8ad6\u7684\u4fee\u98fe<\/p>\n

6.4.1\u5f15\u8a00<\/p>\n

6.4.2\u8a66\u63a2\u51fd\u6578\u7684\u5b83\u7a2e\u7a7a\u9593.\u7a7a\u9593*.Fourier\u8b8a\u63db<\/p>\n

6.4.3\u9031\u671f\u51fd\u6578<\/p>\n

6.4.4\u5ee3\u7fa9\u51fd\u6578\u8207Hilbert\u7a7a\u9593.\u8ca0\u7bc4\u6578.\u5f3a\u5b9a\u7fa9<\/p>\n

6.4.5\u95dc\u65bc\u5176\u4ed6\u7a2e\u985e\u7684\u5ee3\u7fa9\u51fd\u6578\u7684\u6ce8\u8a18<\/p>\n

\u53c3\u8003\u6587\u737b<\/p>\n

\u82f1\u6f22\u540d\u8a5e\u5c0d\u7167\u8868<\/p>\n

<\/span><\/strong><\/span><\/strong><\/span><\/strong><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong>
<\/span><\/strong><\/span><\/strong><\/span><\/strong><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/p>\n

<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

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