{"id":201435,"date":"2024-05-10T02:35:14","date_gmt":"2024-05-09T18:35:14","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/201435.html"},"modified":"2024-05-10T02:35:18","modified_gmt":"2024-05-09T18:35:18","slug":"%e5%93%aa%e4%ba%9b%e5%9c%86%e5%91%a8%e7%8e%87%e7%9a%84%e7%ae%97%e6%b3%95%e6%95%88%e7%8e%87%e6%9c%80%e9%ab%98","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/201435.html","title":{"rendered":"\u54ea\u4e9b\u5706\u5468\u7387\u7684\u7b97\u6cd5\u6548\u7387\u6700\u9ad8"},"content":{"rendered":"

\"\u54ea\u4e9b\u5706\u5468\u7387\u7684\u7b97\u6cd5\u6548\u7387\u6700\u9ad8\"<\/p>\n

\u5706\u5468\u7387\uff08\u03c0\uff09\u7684\u8ba1\u7b97\u5386\u53f2\u60a0\u4e45\u3001\u65b9\u6cd5\u4f17\u591a\u3002\u9ad8\u6548\u7684\u5706\u5468\u7387\u7b97\u6cd5\u5305\u62ec\uff1a\u9ad8\u65af-\u52d2\u8ba9\u5fb7\u7b97\u6cd5\u3001\u8499\u7279\u5361\u6d1b\u65b9\u6cd5\u3001\u695a\u5fb7\u8bfa\u592b\u65af\u57fa\u7b97\u6cd5\u3001\u8d1d\u5229-\u6ce2\u5c14\u6e29-\u666e\u52b3\u592b(BBP)\u516c\u5f0f<\/strong>\u3002\u5728\u8fd9\u4e9b\u65b9\u6cd5\u4e2d\uff0cBBP\u516c\u5f0f\u7531\u4e8e\u5176\u5bf9\u6570\u4f4d\u7684\u72ec\u7279\u63d0\u53d6\u65b9\u5f0f\u800c\u8457\u79f0\uff0c\u7279\u522b\u9002\u5408\u4e8e\u7535\u8111\u8ba1\u7b97\uff0c\u56e0\u4e3a\u5b83\u53ef\u4ee5\u5728\u4e0d\u8ba1\u7b97\u524d\u9762\u6570\u5b57\u7684\u60c5\u51b5\u4e0b\u76f4\u63a5\u8ba1\u7b97\u03c0\u7684\u4efb\u4f55\u5341\u516d\u8fdb\u5236\u6216\u4e8c\u8fdb\u5236\u4f4d<\/strong>\u3002\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u8be6\u7ec6\u63a2\u8ba8\u8fd9\u4e9b\u7b97\u6cd5\u7684\u539f\u7406\u548c\u6548\u7387\u3002<\/p>\n<\/p>\n

\u4e00\u3001\u9ad8\u65af-\u52d2\u8ba9\u5fb7\u7b97\u6cd5<\/h3>\n<\/p>\n

\u9ad8\u65af-\u52d2\u8ba9\u5fb7\u7b97\u6cd5\u662f\u4e00\u79cd\u5feb\u901f\u6536\u655b\u7684\u8fed\u4ee3\u7b97\u6cd5\uff0c\u5c5e\u4e8e\u7b97\u672f\u51e0\u4f55\u5e73\u5747\u6570\uff08AGM\uff09\u65b9\u6cd5\u7684\u4e00\u79cd\u3002\u8be5\u7b97\u6cd5\u4f18\u96c5\u4e14\u9ad8\u6548\uff0c\u5728\u6bcf\u6b21\u8fed\u4ee3\u4e2d\uff0c\u5706\u5468\u7387\u7684\u51c6\u786e\u4f4d\u6570\u5927\u7ea6\u7ffb\u500d\u3002\u9ad8\u65af-\u52d2\u8ba9\u5fb7\u7b97\u6cd5\u662f\u57fa\u4e8e\u590d\u53d8\u51fd\u6570\u7406\u8bba\u7684\u692d\u5706\u79ef\u5206\u3002<\/p>\n<\/p>\n

\u6b65\u9aa4\u8be6\u8ff0\uff1a<\/strong><\/p>\n<\/p>\n

    \n
  1. \n

    \u521d\u59cb\u5316\u53c2\u6570\uff1a<\/p>\n

    ( a_0 = 1 )<\/p>\n

    ( b_0 = \\frac{1}{\\sqrt{2}} )<\/p>\n

    ( t_0 = \\frac{1}{4} )<\/p>\n

    ( p_0 = 1 )<\/p>\n<\/p>\n<\/li>\n

  2. \n

    \u8fed\u4ee3\u8ba1\u7b97\uff1a<\/p>\n

    ( a_{n+1} = \\frac{a_n + b_n}{2} )<\/p>\n

    ( b_{n+1} = \\sqrt{a_n \\cdot b_n} )<\/p>\n

    ( t_{n+1} = t_n – p_n \\cdot (a_n – a_{n+1})^2 )<\/p>\n

    ( p_{n+1} = 2 \\cdot p_n )<\/p>\n<\/p>\n<\/li>\n

  3. \n

    \u03c0\u7684\u8fd1\u4f3c\uff1a<\/p>\n

    ( \\pi \\approx \\frac{(a_n + b_n)^2}{4 \\cdot t_n} )<\/p>\n<\/p>\n<\/li>\n<\/ol>\n

    \u4e3a\u4ec0\u4e48\u6709\u6548<\/strong>\uff1a\u7531\u4e8e\u7b97\u6cd5\u6bcf\u6b21\u8fed\u4ee3\u540e\uff0c\u03c0\u7684\u7cbe\u786e\u4f4d\u6570\u7ffb\u500d\uff0c\u56e0\u800c\u6b65\u9aa4\u6570\u76f8\u5bf9\u8f83\u5c11<\/strong>\u3002<\/p>\n<\/p>\n

    \u4e8c\u3001\u8499\u7279\u5361\u6d1b\u65b9\u6cd5<\/h3>\n<\/p>\n

    \u8499\u7279\u5361\u6d1b\u65b9\u6cd5\u662f\u4e00\u79cd\u4f9d\u8d56\u6982\u7387\u548c\u7edf\u8ba1\u7684\u6570\u503c\u8ba1\u7b97\u65b9\u6cd5\u3002\u901a\u8fc7\u6a21\u62df\u968f\u673a\u6837\u672c\u70b9\u6765\u4f30\u7b97<\/a>\u5706\u5468\u7387\u503c\u3002<\/p>\n<\/p>\n

    \u6b65\u9aa4\u8be6\u8ff0\uff1a<\/strong><\/p>\n<\/p>\n

      \n
    1. \u751f\u6210\u5927\u91cf\u5747\u5300\u5206\u5e03\u7684\u968f\u673a\u70b9\u3002<\/li>\n
    2. \u8ba1\u7b97\u8fd9\u4e9b\u70b9\u4e2d\u6709\u591a\u5c11\u843d\u5728\u5355\u4f4d\u5706\u5185\u3002<\/li>\n
    3. \u901a\u8fc7\u6bd4\u8f83\u5706\u4e2d\u70b9\u7684\u6570\u91cf\u548c\u603b\u70b9\u6570\uff0c\u4f7f\u7528\u6bd4\u4f8b\u5173\u7cfb\u4f30\u7b97\u03c0\u3002<\/li>\n<\/ol>\n

      \u4e3a\u4ec0\u4e48\u6709\u6548<\/strong>\uff1a\u5c3d\u7ba1\u8499\u7279\u5361\u6d1b\u65b9\u6cd5\u5177\u6709\u968f\u673a\u6027\uff0c\u4f46\u5bf9\u4e8e\u5927\u6837\u672c\u91cf\uff0c\u51c6\u786e\u7387\u5f88\u9ad8<\/strong>\u3002\u8fd9\u79cd\u65b9\u6cd5\u7279\u522b\u9002\u7528\u4e8e\u5e76\u884c\u8ba1\u7b97\u3002<\/p>\n<\/p>\n

      \u4e09\u3001\u695a\u5fb7\u8bfa\u592b\u65af\u57fa\u7b97\u6cd5<\/h3>\n<\/p>\n

      \u695a\u5fb7\u8bfa\u592b\u65af\u57fa\u7b97\u6cd5\u662f\u4e00\u79cd\u5feb\u901f\u7b97\u6cd5\uff0c\u5b83\u5229\u7528\u7ea7\u6570\u52a0\u901f\u6280\u672f\u6765\u8ba1\u7b97\u03c0\uff0c\u4ee5\u6781\u9ad8\u7684\u901f\u5ea6\u83b7\u5f97\u7cbe\u5ea6\u63d0\u5347\u3002<\/p>\n<\/p>\n

      \u6b65\u9aa4\u8be6\u8ff0\uff1a<\/strong><\/p>\n<\/p>\n

        \n
      1. \u5b9a\u4e49\u4e00\u7cfb\u5217\u590d\u6742\u6570\u5217\u6784\u6210\u7684\u7ea7\u6570\u5c55\u5f00\u3002<\/li>\n
      2. \u4f7f\u7528\u8fed\u4ee3\u6cd5\u8ba1\u7b97\u695a\u5fb7\u8bfa\u592b\u65af\u57fa\u7ea7\u6570\u7684\u5404\u4e2a\u9879\u3002<\/li>\n
      3. \u6c47\u603b\u7ea7\u6570\u7684\u9879\u4ee5\u5f97\u5230\u03c0\u7684\u8fd1\u4f3c\u503c\u3002<\/li>\n<\/ol>\n

        \u4e3a\u4ec0\u4e48\u6709\u6548<\/strong>\uff1a\u695a\u5fb7\u8bfa\u592b\u65af\u57fa\u7b97\u6cd5\u7684\u6536\u655b\u901f\u5ea6\u975e\u5e38\u5feb<\/strong>\uff0c\u6bcf\u6b21\u8fed\u4ee3\u80fd\u63d0\u4f9b\u66f4\u591a\u03c0\u7684\u6709\u6548\u6570\u5b57\u3002<\/p>\n<\/p>\n

        \u56db\u3001BBP\u516c\u5f0f<\/h3>\n<\/p>\n

        \u8d1d\u5229-\u6ce2\u5c14\u6e29-\u666e\u52b3\u592b(BBP)\u516c\u5f0f\u662f\u4e00\u79cd\u7279\u522b\u9002\u5408\u7535\u8111\u8ba1\u7b97\u7684\u7b97\u6cd5\uff0c\u56e0\u4e3a\u5b83\u53ef\u4ee5\u76f4\u63a5\u8ba1\u7b97\u03c0\u7684\u4e8c\u8fdb\u5236\u6216\u5341\u516d\u8fdb\u5236\u6570\u4f4d\u800c\u65e0\u9700\u8ba1\u7b97\u6240\u6709\u524d\u7f6e\u4f4d\u6570\u3002<\/p>\n<\/p>\n

        \u6b65\u9aa4\u8be6\u8ff0\uff1a<\/strong><\/p>\n<\/p>\n

          \n
        1. \u4f7f\u7528\u4e00\u7cfb\u5217\u57fa\u4e8e16\u7684\u5e42\u7ea7\u6570\u3002<\/li>\n
        2. \u76f4\u63a5\u5e94\u7528BBP\u516c\u5f0f\u6765\u83b7\u5f97\u03c0\u7684\u4efb\u610f\u4f4d\u6570\u7684\u6570\u503c\u800c\u65e0\u9700\u524d\u7f6e\u8ba1\u7b97\u3002<\/li>\n
        3. \u9002\u5408\u5e76\u884c\u8ba1\u7b97\u548c\u9ad8\u6027\u80fd\u8ba1\u7b97\u8d44\u6e90\u3002<\/li>\n<\/ol>\n

          \u4e3a\u4ec0\u4e48\u6709\u6548<\/strong>\uff1aBBP\u516c\u5f0f\u7684\u6548\u7387\u5728\u4e8e\u5b83\u7684\u76f4\u63a5\u6027\u548c\u9002\u7528\u6027\uff0c\u80fd\u591f\u8df3\u8fc7\u5927\u91cf\u7684\u8ba1\u7b97\u5e76\u51cf\u5c11\u5185\u5b58\u4f7f\u7528<\/strong>\u3002<\/p>\n<\/p>\n

          \u7efc\u4e0a\u6240\u8ff0\uff0c\u8fd9\u4e9b\u7b97\u6cd5\u5404\u6709\u7279\u70b9\uff0c\u4f46BBP\u516c\u5f0f\u6700\u9002\u5408\u73b0\u4ee3\u7535\u8111\u8fdb\u884c\u03c0\u7684\u4f4d\u6570\u8ba1\u7b97\uff0c\u56e0\u6b64\u5e38\u88ab\u8ba4\u4e3a\u662f\u8ba1\u7b97\u03c0\u7684\u6709\u6548\u65b9\u6cd5\u4e4b\u4e00\u3002\u4f7f\u7528\u8fd9\u4e9b\u9ad8\u6548\u7b97\u6cd5\uff0c\u7814\u7a76\u4eba\u5458\u548c\u7231\u597d\u8005\u80fd\u591f\u63a8\u8fdb\u5bf9\u5706\u5468\u7387\u7684\u8ba4\u8bc6\uff0c\u5c55\u73b0\u6570\u5b66\u7684\u65e0\u7a77\u9b45\u529b\u3002<\/p>\n<\/p>\n

          \u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n

          1. \u5706\u5468\u7387\u7684\u7b97\u6cd5\u6709\u54ea\u4e9b\uff1f<\/strong><\/p>\n

            \n
          • \u5706\u5468\u7387\u7684\u7b97\u6cd5\u5305\u62ec\u4f46\u4e0d\u9650\u4e8e\u8499\u7279\u5361\u6d1b\u65b9\u6cd5\u3001\u9a6c\u9752\u516c\u5f0f\u3001\u65e0\u7a77\u7ea7\u6570\u6cd5\u7b49\u3002<\/li>\n<\/ul>\n

            2. \u5728\u5706\u5468\u7387\u7684\u7b97\u6cd5\u4e2d\uff0c\u54ea\u79cd\u7b97\u6cd5\u6548\u7387\u6700\u9ad8\uff1f<\/strong><\/p>\n

              \n
            • \u5728\u4f17\u591a\u7b97\u6cd5\u4e2d\uff0c\u8499\u7279\u5361\u6d1b\u65b9\u6cd5\u901a\u5e38\u88ab\u8ba4\u4e3a\u662f\u6548\u7387\u6700\u9ad8\u7684\u7b97\u6cd5\u4e4b\u4e00\u3002\u8fd9\u79cd\u7b97\u6cd5\u5229\u7528\u968f\u673a\u62bd\u6837\u548c\u7edf\u8ba1\u7684\u539f\u7406\u6765\u4f30\u8ba1\u5706\u5468\u7387\uff0c\u5176\u8ba1\u7b97\u901f\u5ea6\u8f83\u5feb\u4e14\u9002\u7528\u4e8e\u5927\u89c4\u6a21\u8ba1\u7b97\u3002<\/li>\n<\/ul>\n

              3. \u662f\u5426\u5b58\u5728\u53ef\u8fd0\u7528\u4e8e\u7279\u5b9a\u573a\u666f\u4e0b\u7684\u5706\u5468\u7387\u7b97\u6cd5\uff1f<\/strong><\/p>\n

                \n
              • \u662f\u7684\uff0c\u6839\u636e\u4e0d\u540c\u7684\u573a\u666f\u548c\u9700\u6c42\uff0c\u53ef\u4ee5\u9009\u62e9\u7279\u5b9a\u7684\u5706\u5468\u7387\u7b97\u6cd5\u3002\u4f8b\u5982\uff0c\u5728\u9700\u8981\u9ad8\u7cbe\u5ea6\u8ba1\u7b97\u7684\u60c5\u51b5\u4e0b\uff0c\u53ef\u4ee5\u4f7f\u7528\u65e0\u7a77\u7ea7\u6570\u6cd5\uff1b\u5728\u9700\u8981\u5feb\u901f\u8ba1\u7b97\u7684\u60c5\u51b5\u4e0b\uff0c\u8499\u7279\u5361\u6d1b\u65b9\u6cd5\u53ef\u80fd\u66f4\u5408\u9002\u3002\u56e0\u6b64\uff0c\u7b97\u6cd5\u7684\u9009\u62e9\u5e94\u6839\u636e\u5177\u4f53\u7684\u8ba1\u7b97\u9700\u6c42\u6765\u51b3\u5b9a\u3002<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"\u5706\u5468\u7387\uff08\u03c0\uff09\u7684\u8ba1\u7b97\u5386\u53f2\u60a0\u4e45\u3001\u65b9\u6cd5\u4f17\u591a\u3002\u9ad8\u6548\u7684\u5706\u5468\u7387\u7b97\u6cd5\u5305\u62ec\uff1a\u9ad8\u65af-\u52d2\u8ba9\u5fb7\u7b97\u6cd5\u3001\u8499\u7279\u5361\u6d1b\u65b9\u6cd5\u3001\u695a\u5fb7\u8bfa\u592b\u65af\u57fa\u7b97\u6cd5\u3001 […]","protected":false},"author":3,"featured_media":201438,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[37],"tags":[],"acf":[],"_links":{"self":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/201435"}],"collection":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/comments?post=201435"}],"version-history":[{"count":0,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/201435\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media\/201438"}],"wp:attachment":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media?parent=201435"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/categories?post=201435"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/tags?post=201435"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}