{"resolved":true,"match_type":"uuid","source_type":"original_book","book_id":"dde4e586-1def-4457-8ec5-0287b0b0511d","title":"认知 人行为背后的思维与智能","author":null,"edition":null,"publisher":null,"year":null,"isbn":"9787300273921","requested_by":"printed_page","book":{"source_type":"original_book","book_id":"dde4e586-1def-4457-8ec5-0287b0b0511d","id":"dde4e586-1def-4457-8ec5-0287b0b0511d","uuid":"dde4e586-1def-4457-8ec5-0287b0b0511d","title":"认知 人行为背后的思维与智能","normalized_title":"认知人行为背后的思维与智能","author":null,"edition":null,"publisher":null,"year":null,"isbn":"9787300273921","isbns":["9787300273921"],"parsed":true,"ai_readable":true,"document_type":"book","page_count":290,"navigation_url":"https://workshop.closeclaw.top/ai/book/dde4e586-1def-4457-8ec5-0287b0b0511d","title_url":"https://workshop.closeclaw.top/ai/title/%E8%AE%A4%E7%9F%A5%20%E4%BA%BA%E8%A1%8C%E4%B8%BA%E8%83%8C%E5%90%8E%E7%9A%84%E6%80%9D%E7%BB%B4%E4%B8%8E%E6%99%BA%E8%83%BD","fixed_page_url_template":"https://workshop.closeclaw.top/ai/book/dde4e586-1def-4457-8ec5-0287b0b0511d/page/{printed_page}","path_api_url_template":"https://workshop.closeclaw.top/api/ai/book/dde4e586-1def-4457-8ec5-0287b0b0511d/page/{printed_page}","read_url":"https://workshop.closeclaw.top/api/ai/read/dde4e586-1def-4457-8ec5-0287b0b0511d","page_url":"https://workshop.closeclaw.top/api/ai/books/dde4e586-1def-4457-8ec5-0287b0b0511d/page","search_url":"https://workshop.closeclaw.top/api/ai/books/dde4e586-1def-4457-8ec5-0287b0b0511d/search"},"page":{"printed_page":253,"pdf_page":264,"physical_index":264,"physical_index_base":0,"printed_page_status":"recognized","page_sha256":"9580ea92e17fc77bdfeaa0e77532aaf4f5190deefca55f82e95ef4543ce1dc9d"},"chapter":"第八章发现过程","content":"基数，因而可以做如下处理：\n\n$$\n\\left( \\begin{array} { c c c c } { { 1 , } } & { { { \\frac { 5 \\times 2 ^ { 2 } } { 3 ^ { 3 } } } , } } & { { { \\frac { 5 ^ { 3 } } { 7 \\times 3 ^ { 3 } } } , } } & { { { \\frac { 5 } { 2 ^ { 3 } } } } } \\\\ { { { \\frac { 1 } { 5 } } , } } & { { { \\frac { 2 ^ { 2 } } { 3 ^ { 3 } } } , } } & { { { \\frac { 5 ^ { 2 } } { 7 \\times 3 ^ { 3 } } } , } } & { { { \\frac { 1 } { 2 ^ { 3 } } } } } \\\\ { { { \\frac { 3 ^ { 2 } } { 5 } } , } } & { { { \\frac { 2 ^ { 2 } } { 3 } } , } } & { { { \\frac { 5 ^ { 2 } } { 7 \\times 3 } } , } } & { { { \\frac { 3 ^ { 2 } } { 2 ^ { 3 } } } } } \\end{array} \\right)\n$$\n\n这一步是通过大量搜索找出来的。把末行各数乘出来得：\n\n$$\n{ \\frac { 9 } { 5 } } , \\ { \\frac { 4 } { 3 } } , \\ { \\frac { 2 5 } { 2 1 } } , \\ { \\frac { 9 } { 8 } }\n$$\n\n从这里可以看出所有这些式子的分子都大于分母，所有的分子都是一个数的平方。再做进一步的转化，使分母由小于7的各数的平方来表示，则出现如下关系：\n\n$$\n\\begin{array} { c c c c c c } { { } } & { { \\frac { 9 } { 5 } , } } & { { \\frac { 4 } { 3 } , } } & { { } } & { { \\frac { 2 5 } { 2 1 } , } } & { { \\frac { 9 } { 8 } } } \\\\ { { } } & { { \\frac { 3 ^ { 2 } } { 5 } , } } & { { \\frac { 4 ^ { 2 } } { 3 \\times 2 ^ { 2 } } , } } & { { } } & { { \\frac { 5 ^ { 2 } } { 7 \\times 3 } , } } & { { \\frac { 6 ^ { 2 } } { 2 ^ { 5 } } } } \\\\ { { } } & { { \\left( \\begin{array} { c c c c c c } { { } } & { { 3 ^ { 2 } } } & { { } } & { { \\frac { 4 ^ { 2 } } { 3 ^ { 2 } - 2 ^ { 2 } } , } } & { { } } & { { \\frac { 5 ^ { 2 } } { 5 ^ { 2 } - 2 ^ { 2 } } , } } & { { \\frac { 6 ^ { 2 } } { 6 ^ { 2 } - 2 ^ { 2 } } } } \\end{array} \\right) } } \\end{array}\n$$\n\n由此可猜想后边接下去的数将是：\n\n$$\n{ \\frac { 4 9 } { 4 5 } } , { \\frac { 6 4 } { 6 0 } } , { \\frac { 8 1 } { 7 7 } }\n$$\n\n人类的本能之一是寻找规律模式，上面的关系可以表示为：\n\n$$\n\\frac { N ^ { 2 } } { N ^ { 2 } - 4 } , \\frac { N ^ { 2 } } { N ^ { 2 } - M ^ { 2 } } , M = 2\n$$\n\n第八章 发现过程\n\n253","previous_page":252,"next_page":254}