{"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":258,"pdf_page":269,"physical_index":269,"physical_index_base":0,"printed_page_status":"recognized","page_sha256":"964fe205a3a28671a8c0a20684eb9587e2f2a6bd36563584df1cbcdda2b3e885"},"chapter":"第八章发现过程","content":"对称性\n\n化学中的布莱克（Black）定律，即不等温定律就是在一定的理论指导下发现的。如果把两杯温度不同的水倒在一起，温度就一样了。我们会认为混合后的温度是第一杯水和第二杯水温度的平均值，即 $T = { \\frac { T _ { 1 } + T _ { 2 } } { 2 } }$ ，可能有的人也会认为 $T =$ $\\frac { T _ { 1 } \\times T _ { 2 } } { 2 }$ 。究竟哪个看法对，只有用温度计来测量，才能得出正确的判断。但是谁也不会认为混合后的温度是 $\\frac { 1 0 T _ { 1 } + T _ { 2 } } { 1 1 }$ ，因为两个杯子的容量差不多，要求其平均温度，所用的公式里对这两个杯子的温度就应同等对待，这就是对称性。在物理学上，对称性原理并不太适用，但是在大多数场合下，它却是一个基本的原理。这个理论可以指导我们在求混合后的温度时用$\\frac { T _ { 1 } + T _ { 2 } } { 2 }$ 来求平均值。如果我们把第一杯的水量加倍，再求混合温度，那么就应该用 $\\frac { 2 T _ { 1 } + T _ { 2 } } { 3 } \\frac { } { }$ ，这时的分母就不再是2了。如果第一杯的量是a，第二杯的量是b，那么公式就是$\\frac { a T _ { 1 } + b T _ { 2 } } { a + b }$ 。从这个公式可以看出，两个量的关系比较复杂，这就给问题带来了麻烦，BACON程序就解决不了了。\n\n认知\n\n258","previous_page":257,"next_page":259}