{"resolved":true,"match_type":"uuid","source_type":"original_book","book_id":"72c4da97-7cf2-441a-a985-c1252297d6a3","title":"人工智能的进化 计算机思维离人类心智还有多远","author":null,"edition":null,"publisher":null,"year":null,"isbn":"9787508685670","requested_by":"printed_page","book":{"source_type":"original_book","book_id":"72c4da97-7cf2-441a-a985-c1252297d6a3","id":"72c4da97-7cf2-441a-a985-c1252297d6a3","uuid":"72c4da97-7cf2-441a-a985-c1252297d6a3","title":"人工智能的进化 计算机思维离人类心智还有多远","normalized_title":"人工智能的进化计算机思维离人类心智还有多远","author":null,"edition":null,"publisher":null,"year":null,"isbn":"9787508685670","isbns":["9787508685670"],"parsed":true,"ai_readable":true,"document_type":"book","page_count":216,"navigation_url":"https://workshop.closeclaw.top/ai/book/72c4da97-7cf2-441a-a985-c1252297d6a3","title_url":"https://workshop.closeclaw.top/ai/title/%E4%BA%BA%E5%B7%A5%E6%99%BA%E8%83%BD%E7%9A%84%E8%BF%9B%E5%8C%96%20%E8%AE%A1%E7%AE%97%E6%9C%BA%E6%80%9D%E7%BB%B4%E7%A6%BB%E4%BA%BA%E7%B1%BB%E5%BF%83%E6%99%BA%E8%BF%98%E6%9C%89%E5%A4%9A%E8%BF%9C","fixed_page_url_template":"https://workshop.closeclaw.top/ai/book/72c4da97-7cf2-441a-a985-c1252297d6a3/page/{printed_page}","path_api_url_template":"https://workshop.closeclaw.top/api/ai/book/72c4da97-7cf2-441a-a985-c1252297d6a3/page/{printed_page}","read_url":"https://workshop.closeclaw.top/api/ai/read/72c4da97-7cf2-441a-a985-c1252297d6a3","page_url":"https://workshop.closeclaw.top/api/ai/books/72c4da97-7cf2-441a-a985-c1252297d6a3/page","search_url":"https://workshop.closeclaw.top/api/ai/books/72c4da97-7cf2-441a-a985-c1252297d6a3/search"},"page":{"printed_page":130,"pdf_page":141,"physical_index":141,"physical_index_base":0,"printed_page_status":"recognized","page_sha256":"f4a42c3fbb90f338e7fa62c556f63246e8928ac0f2da4e1253abb6aeb7e1899b"},"chapter":"第五章","content":"然而，这与在代数和逻辑问题中出现的符号是不同的。当写下 $\\mathit { \\Omega } ^ { \\ast } \\boldsymbol { x } = \\boldsymbol { y } + \\boldsymbol { 6 } ^ { \\prime \\prime }$ 这样的方程时，我们可能并没有想传达某种信息，只是在默默地解决问题。\n\n既然不是为了交流，我们为何还要写下这些符号呢?我们已经说过，书写并不是重点。我们完全可以在脑海里思考代数问题，只有当数据太多时才写下来。\n\n还需要注意的是，很多情况下我们可以直接忽略某些符号。符号排列的位置就能帮助我们正确处理问题。例如，我们写下一个普通的数字“237”，仅用三个数位就能够表达出来，不必使用${ } ^ { \\ast \\cdot } 2 \\times 1 0 ^ { 2 } + 3 \\times 1 0 ^ { 1 } + 7 \\times 1 0 ^ { 1 0 ^ { 1 } }$ 这类符号。数字所在的数位通常代表着是10的几次幂。对于二进制的数字来说，只有0和1两个数字，数位便是表示数字大小的关键。\n\n既然如此，我们为什么还要使用符号呢?\n\n问题的答案最早由艾伦·图灵于20世纪30年代提出：写下一串字符，是我们讨论数字映射以及字符串映射处理的前提。现在，我们将这种字符串处理的过程称为数字计算。我们像写下字符串一样写下数字，目的还是计算。\n\n人工智能的进化\n\n130","previous_page":129,"next_page":131}