{"id":64745,"date":"2025-09-24T14:36:57","date_gmt":"2025-09-24T06:36:57","guid":{"rendered":"https:\/\/swarma.org\/?p=64745"},"modified":"2025-09-24T14:36:57","modified_gmt":"2025-09-24T06:36:57","slug":"%e7%9c%9f%e6%ad%a3%e7%9a%84%e8%af%bb%e4%b9%a6%e4%bc%9a%e6%9d%a5%e4%ba%86-%e5%bc%a0%e6%b1%9f%e3%80%81%e6%9d%8e%e6%98%a5%e5%bd%aa%e9%82%80%e4%bd%a0%e4%b8%80%e8%b5%b7","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=64745","title":{"rendered":"\u771f\u6b63\u7684\u8bfb\u201c\u4e66\u201d\u4f1a\u6765\u4e86\u2014\u2014\u5f20\u6c5f\u3001\u674e\u6625\u5f6a\u9080\u4f60\u4e00\u8d77\u8bfb\u300a\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u4e0e\u6df7\u6c8c\u300b"},"content":{"rendered":"
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\u6211\u4eec\u5c06\u63a2\u8ba8\u5982\u4e0b\u6838\u5fc3\u95ee\u9898\uff1a<\/span><\/span><\/p>\n

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  1. \n

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    \u975e\u7ebf\u6027\u52a8\u529b\u5b66\u4e2d\u7684\u6d41\u4e0e\u5206\u5c94\u80cc\u540e\u7684\u7269\u7406\u610f\u4e49\u662f\u4ec0\u4e48\uff1f<\/span><\/span><\/p>\n<\/li>\n

  3. \n

    \u6df7\u6c8c\u7406\u8bba\u4e2d\uff0c\u6df7\u6c8c\u7684\u8d77\u6e90\u3001\u5206\u5f62\u548c\u5947\u602a\u5438\u5f15\u5b50\u5206\u522b\u662f\u4ec0\u4e48\u542b\u4e49\uff1f<\/span><\/span><\/p>\n<\/li>\n

  4. \n

    \u975e\u7ebf\u6027\u52a8\u529b\u5b66\u5728\u5404\u5b66\u79d1\u4e2d\u7684\u7406\u8bba\u9a8c\u8bc1\u4e0e\u5e94\u7528\u65b9\u9762\u6709\u54ea\u4e9b\uff1f<\/span><\/span><\/p>\n<\/li>\n<\/ol>\n


    <\/span><\/h3>\n

    \u4f60\u5c06\u6536\u83b7\uff1a<\/span><\/span><\/h3>\n
      \n
    1. \n

      \u592f\u5b9e\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u57fa\u7840\u6982\u5ff5\u7684\u4ecb\u7ecd\u3001\u91cd\u8981\u5b9a\u7406\u7684\u5047\u8bbe\u3001\u63a8\u5bfc\u7b49\u65b9\u9762\u7684\u57fa\u7840\u3002<\/span><\/span><\/p>\n<\/li>\n

    2. \n

      \u5404\u5b66\u79d1\u4e2d\u7684\u7406\u8bba\u9a8c\u8bc1\u4e0e\u5e94\u7528\u65b9\u9762\uff0c\u57fa\u4e8e\u6070\u5f53\u7684\u5b9e\u4f8b\u5f97\u5230\u6df1\u5165\u6d45\u51fa\u7684\u5f15\u5bfc\u3002<\/span><\/span><\/p>\n<\/li>\n

    3. \n

      \u4e86\u89e3\u5230\u52a8\u529b\u7cfb\u7edf\u4e0e\u590d\u6742\u7cfb\u7edf\u76f8\u5173\u9886\u57df\u7684\u8054\u7cfb\uff0c\u5b66\u4e60\u975e\u7ebf\u6027\u601d\u7ef4\uff0c\u5e76\u63d0\u5347\u5728\u8bf8\u5982\u56e0\u679c\u6d8c\u73b0\u7b49\u9886\u57df\u7814\u7a76\u7684\u80fd\u529b\u3002<\/span><\/span><\/p>\n<\/li>\n<\/ol>\n<\/section>\n<\/section>\n

      \n
      \n

      <\/span><\/section>\n

      <\/span><\/section>\n

      <\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n


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


      <\/span><\/h1>\n

      \n
      \n
      \n
      \n
      \n

      <\/span><\/section>\n

      <\/span><\/section>\n
      \n
      <\/section>\n<\/section>\n<\/section>\n
      \n

      \u8bfb\u4e66\u4f1a\u6846\u67b6<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

      \n

      <\/span><\/section>\n

      <\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


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

      <\/section>\n


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


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

      \n
      \n
      \n
      \n
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      <\/span><\/section>\n

      <\/span><\/section>\n
      \n
      <\/section>\n<\/section>\n<\/section>\n
      \n

      \u53d1\u8d77\u4eba\u56e2\u961f<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

      \n

      <\/span><\/section>\n

      <\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


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

      <\/section>\n

      \u5f20\u6c5f<\/span><\/span><\/strong>\uff0c\u5317\u4eac\u5e08\u8303\u5927\u5b66\u7cfb\u7edf\u79d1\u5b66\u5b66\u9662\u6559\u6388\uff0c\u96c6\u667a\u4ff1\u4e50\u90e8\u521b\u59cb\u4eba\uff0c\u96c6\u667a\u5b66\u56ed\uff08\u5317\u4eac\uff09\u79d1\u6280\u6709\u9650\u516c\u53f8\u521b\u59cb\u4eba\u517c\u8463\u4e8b\u957f\uff0c\u96c6\u667a\u7814\u7a76\u4e2d\u5fc3\u7406\u4e8b\u957f\uff0cNational Science Review \u7f16\u59d4\u6210\u5458\u3002\u4e3b\u8981\u7814\u7a76\u9886\u57df\uff1a\u56e0\u679c\u6d8c\u73b0\u3001\u590d\u6742\u7cfb\u7edf\u5206\u6790\u4e0e\u5efa\u6a21\u3001\u590d\u6742\u7f51\u7edc\u4e0e\u673a\u5668\u5b66\u4e60\u3001\u793e\u4f1a\u4e0e\u7ecf\u6d4e\u7cfb\u7edf\u7684\u89c4\u6a21\u6cd5\u5219\uff08Scaling Laws\uff09\u7b49\u3002\u591a\u7bc7\u6587\u7ae0\u53d1\u8868\u5728\u5305\u62ec\uff1aNature Communications\u3001Nature Machine Intelligence\u3001National Science Review\u3001Nonlinear Systems\u3001Chaos\u7b49\u56fd\u9645\u77e5\u540d\u520a\u7269\u4e0a\u3002\u66fe\u51fa\u7248\u4e13\u8457\u300a\u89c4\u6a21\u6cd5\u5219\u2014\u2014\u63a2\u7d22\u7ec6\u80de\u5230\u57ce\u5e02\u7684\u666e\u9002\u89c4\u5f8b\u300b\u3001\u7b2c\u4e8c\u4f5c\u8005\u5408\u8457\u300a\u6570\u5b57\u521b\u4e16\u7eaa\u2014\u2014\u4eba\u5de5\u751f\u547d\u7684\u65b0\u79d1\u5b66\u300b\uff0c\u53ca\u8bd1\u8457\u300a\u81ea\u7136\u4e0e\u4eba\u5de5\u7cfb\u7edf\u4e2d\u7684\u9002\u5e94\u2014\u2014\u7406\u8bba\u5206\u6790\u53ca\u5176\u5728\u751f\u7269\u3001\u63a7\u5236\u4e0e\u4eba\u5de5\u667a\u80fd\u4e2d\u7684\u5e94\u7528\u300b\u7b49\u3002<\/span><\/span><\/span><\/p>\n


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

      <\/section>\n

      \u674e\u6625\u5f6a<\/span><\/span><\/strong>\uff0c\u5357\u4eac\u4fe1\u606f\u5de5\u7a0b\u5927\u5b66\u4eba\u5de5\u667a\u80fd\u5b66\u9662\u6559\u6388\u3001\u535a\u58eb\u751f\u5bfc\u5e08\u3002\u5357\u4eac\u7406\u5de5\u5927\u5b66\u5de5\u5b66\u535a\u58eb\uff0c\u4e1c\u5357\u5927\u5b66\u535a\u58eb\u540e\uff0c\u7f8e\u56fd\u5a01\u65af\u5eb7\u661f\u5927\u5b66\u8bbf\u95ee\u5b66\u8005\u3002International  Journal of Bifurcation and Chaos \u548cChaos, Solitons and Fractals\u56fd\u9645\u5b66\u672f\u671f\u520a\u7f16\u59d4\uff0c\u4e2d\u56fd\u7535\u5b50\u5b66\u4f1a\u7535\u8def\u4e0e\u7cfb\u7edf\u5206\u4f1a\u6df7\u6c8c\u4e0e\u975e\u7ebf\u6027\u7535\u8def\u4e13\u4e1a\u59d4\u5458\u4f1a\u526f\u4e3b\u4efb\u59d4\u5458\u3002\u4e3b\u8981\u4ece\u4e8b\u5fc6\u963b\u7535\u8def\u4e0e\u6df7\u6c8c\u52a8\u529b\u5b66\u53ca\u5176\u5e94\u7528\u7814\u7a76\u3002<\/span><\/span><\/span><\/p>\n


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


      <\/span><\/h1>\n

      \n
      \n
      \n
      \n
      \n

      <\/span><\/section>\n

      <\/span><\/section>\n
      \n
      <\/section>\n<\/section>\n<\/section>\n
      \n

      \u6838\u5fc3\u73a9\u6cd5\uff1a\u548c\u4e24\u4f4d\u6559\u6388\u4e00\u8d77\u5171\u5b66\u5171\u521b<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

      \n

      <\/span><\/section>\n

      <\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


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

      \u672c\u6b21\u8bfb\u4e66\u4f1a\u671f\u95f4\uff0c\u6211\u4eec\u5c06\u5171\u540c\u534f\u4f5c\u68b3\u7406\u4e0e\u521b\u5efa\u4e0e\u300c\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u4e0e\u6df7\u6c8c\u300d\u4e3b\u9898\u76f8\u5173\u7684\u767e\u79d1\u8bcd\u6761\u3002<\/span><\/span><\/p>\n


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

      \u53c2\u4e0e\u96c6\u667a\u767e\u79d1\u7684\u7f16\u7e82\uff0c\u4e0d\u4ec5\u6709\u52a9\u4e8e\u7cfb\u7edf\u6574\u7406\u77e5\u8bc6\uff0c\u66f4\u5177\u6709\u591a\u91cd\u6df1\u8fdc\u610f\u4e49\uff1a\u5b83\u65e2\u662f\u4e00\u4e2a\u5f00\u653e\u5171\u4eab\u7684\u77e5\u8bc6\u5e93\uff0c\u4e5f\u662f\u4e00\u4e2a\u63a8\u52a8\u5b66\u672f\u4ea4\u6d41\u3001\u4fc3\u8fdb\u5b66\u79d1\u8fdb\u6b65\u3001\u51dd\u805a\u7fa4\u4f53\u667a\u6167\u7684\u91cd\u8981\u5e73\u53f0\u3002<\/span><\/span><\/p>\n


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

      \u672c\u4e66\u6d89\u53ca\u5927\u91cf\u4e13\u4e1a\u672f\u8bed\uff0c\u5bf9\u521d\u5b66\u8005\u800c\u8a00\u5177\u6709\u4e00\u5b9a\u96be\u5ea6\u3002\u901a\u8fc7\u7ec4\u7ec7\u5b66\u4e60\u5c0f\u7ec4\u7684\u5f62\u5f0f\u7cfb\u7edf\u68b3\u7406\u8bcd\u6761\uff0c\u6211\u4eec\u4ee5\u201c\u8f93\u51fa\u5012\u903c\u8f93\u5165\u201d\uff0c\u5728\u6df1\u5ea6\u7406\u89e3\u5185\u5bb9\u7684\u540c\u65f6\uff0c\u8fd8\u53ef\u83b7\u5f97\u79ef\u5206\u5956\u52b1\u3001\u8d21\u732e\u4e2d\u6587\u77e5\u8bc6\u5e93\uff0c\u5e76\u83b7\u5f97\u96c6\u667a\u767e\u79d1\u5fd7\u613f\u8005\u8bc1\u4e66\uff01<\/span><\/span><\/p>\n


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

      \u91cd\u6574\u5316\u7fa4\u5982\u4f55\u5f97\u5230\u8d39\u6839\u9c8d\u59c6\u5e38\u6570-\u4ee5logistic\u8fed\u4ee3\u4e3a\u4f8b\uff5c\u96c6\u667a\u767e\u79d1<\/a><\/span><\/p>\n


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

      \u5f53\u7136\uff0c\u8fdb\u5165\u767e\u79d1\u5c0f\u7ec4\u4e4b\u524d\u6211\u4eec\u8fd8\u6709\u4e2a30\u5206\u949f\u7684\u5b57\u5e55\u4efb\u52a1\u8003\u6838\uff0c\u901a\u8fc7\u5b57\u5e55\u4efb\u52a1\u4e4b\u540e\uff0c\u4fbf\u53ef\u4ee5\u8fdb\u5165\u5230\u767e\u79d1\u5c0f\u7ec4\u8fdb\u884c\u8bcd\u6761\u7684\u521b\u4f5c\uff0c\u5728\u8fd9\u4e2a\u534f\u4f5c\u8fc7\u7a0b\u4e2d\uff0c\u4f60\u4f1a\u7ed3\u8bc6\u8bfb\u4e66\u4f1a\u4e0a\u5f88\u591a\u4f18\u79c0\u4e14\u6709\u8da3\u7684\u5c0f\u4f19\u4f34\u3002<\/span><\/span><\/p>\n


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

      \ud83d\udccc \u53c2\u4e0e\u65b9\u5f0f\uff1a<\/span><\/span><\/p>\n

      \u6210\u529f\u52a0\u5165\u8bfb\u4e66\u4f1a\u540e\uff0c\u53ef\u5411\u8fd0\u8425\u8d1f\u8d23\u4eba\u54a8\u8be2\u5177\u4f53\u5b89\u6392\uff0c\u5e76\u5728\u76f8\u5e94\u7684\u201c\u5171\u521b\u4efb\u52a1\u201d\u5217\u8868\u4e2d\u8ba4\u9886\u3002\u4efb\u52a1\u7d27\u4fcf\uff0c\u624b\u6162\u65e0\uff01<\/span><\/span><\/strong><\/p>\n

      \u6ce8\uff1a\u672c\u6d3b\u52a8\u6700\u7ec8\u89e3\u91ca\u6743\u5f52\u96c6\u667a\u4ff1\u4e50\u90e8\u6240\u6709\u3002<\/span><\/span><\/p>\n


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


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

      <\/span><\/h2>\n

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      <\/span><\/section>\n

      <\/span><\/section>\n
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      <\/section>\n<\/section>\n<\/section>\n
      \n

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      \n

      <\/span><\/section>\n

      <\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


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

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

      \u5029\u59d0\uff1a\u6211\u8981\u7528\u590d\u6742\u6027\u601d\u7ef4\u6765\u6253\u9020\u4e00\u4e2a\u6700\u6709\u6e29\u5ea6\u7684\u590d\u6742\u79d1\u5b66\u5b66\u4e60\u793e\u533a\u3002<\/span><\/span><\/strong><\/p>\n


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

      <\/section>\n


      <\/span><\/h2>\n


      <\/span><\/h2>\n

      \n
      \n
      \n
      \n
      \n

      <\/span><\/section>\n

      <\/span><\/section>\n
      \n
      <\/section>\n<\/section>\n<\/section>\n
      \n

      \u62a5\u540d\u53c2\u4e0e\u8bfb\u4e66\u4f1a<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

      \n

      <\/span><\/section>\n

      <\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


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

      \u8fd0\u884c\u6a21\u5f0f<\/span><\/span><\/strong><\/span><\/p>\n

      \u4ece2025\u5e7410\u67089\u65e5\u5f00\u59cb\uff0c\u6bcf\u5468\u56db\u665a\u4e0a19:30-21:30\uff0c<\/span>\u6301\u7eed\u65f6\u95f4\u9884\u8ba112\u5468\uff0c\u6309\u8bfb\u4e66\u4f1a\u6846\u67b6\u8bbe\u8ba1\uff0c\u6bcf\u5468\u8fdb\u884c\u817e\u8baf\u4f1a\u8bae\u7ebf\u4e0a\u4f1a\u8bae\uff0c\u4e0e\u4e3b\u8bb2\u4eba\u7b49\u793e\u533a\u6210\u5458\u5f53\u9762\u4ea4\u6d41\uff0c\u4f1a\u540e\u53ef\u4ee5\u83b7\u5f97\u89c6\u9891\u56de\u653e\u6301\u7eed\u5b66\u4e60\u3002\u672c\u6b21\u8bfb\u4e66\u4f1a\u9996\u573a\u514d\u8d39\u76f4\u64ad\uff0c\u5176\u4f59\u4e0d\u5b89\u6392\u514d\u8d39\u76f4\u64ad\u3002<\/span><\/span><\/section>\n

      <\/span><\/section>\n

      \u62a5\u540d\u65b9\u5f0f<\/span><\/span><\/strong><\/span><\/p>\n

      \u7b2c\u4e00\u6b65\uff1a\u5fae\u4fe1\u626b\u7801\u586b\u5199\u62a5\u540d\u4fe1\u606f\u3002<\/span><\/span><\/p>\n

      <\/section>\n

      \u626b\u7801\u62a5\u540d\uff08\u53ef\u5f00\u53d1\u7968\uff09<\/span><\/span><\/p>\n

      \u7b2c\u4e8c\u6b65\uff1a\u586b\u5199\u4fe1\u606f\u540e\uff0c\u4ed8\u8d39\u62a5\u540d\u3002\u5982\u9700\u7528\u652f\u4ed8\u5b9d\u652f\u4ed8\uff0c\u8bf7\u5728PC\u7aef\u8fdb\u5165\u8bfb\u4e66\u4f1a\u9875\u9762\u62a5\u540d\u652f\u4ed8\uff1a<\/span><\/span><\/p>\n

      https:\/\/pattern.swarma.org\/study_group\/71?from=wechat<\/span><\/span><\/p>\n

      \u7b2c\u4e09\u6b65\uff1a\u626b\u7801\u52a0\u5165\u5bf9\u5e94\u4e3b\u9898\u7684\u8bfb\u4e66\u4f1a\u793e\u533a\uff08\u5fae\u4fe1\u7fa4\uff09\u3002<\/span><\/span><\/p>\n

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

      <\/section>\n

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      <\/span><\/em><\/p>\n

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      <\/section>\n

      <\/span><\/section>\n
      <\/span><\/section>\n
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      <\/span><\/section>\n
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      <\/span><\/section>\n
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      <\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n
      \"\u6d77\u62a5\u9884\u89c8\"<\/span><\/section>\n
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      <\/span><\/section>\n
      <\/span><\/section>\n
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      \u5bfc\u8bed \u96c6\u667a\u4ff1\u4e50\u90e8\u8054\u5408\u5317\u4eac\u5e08\u8303\u5927\u5b66\u5f20\u6c5f\u79d1\u7814\u7ec4\u8054\u548c\u5357\u4fe1\u5927\u674e\u6625\u5f6a\u79d1\u7814\u7ec4\u5e08\u751f\u5171\u540c\u53d1\u8d77\u300c\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u4e0e\u6df7\u6c8c\u300d\u8bfb\u4e66\u4f1a\uff0c\u7531\u5e08\u751f\u5171\u540c\u9886\u8bfb\u300a\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u4e0e\u6df7\u6c8c\u300b\uff0c\u4ee5\u5206\u7ae0\u8282\u7cbe\u8bfb\u7684\u65b9\u5f0f\uff0c\u5e26\u9886\u5927\u5bb6\u7cfb\u7edf\u5b66\u4e60\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u7684\u57fa\u672c\u7406\u8bba\u4e0e\u5178\u578b\u6a21\u578b\uff0c\u7ed3\u5408\u6d1b\u4f26\u5179\u7cfb\u7edf\u3001Kuramoto\u6a21\u578b\u7b49\u7ecf\u5178\u6848\u4f8b\uff0c\u6df1\u5165\u63a2\u8ba8\u6df7\u6c8c\u7684\u8d77\u6e90\u3001\u5206\u5f62\u4e0e\u5947\u5f02\u5438\u5f15\u5b50\u7b49…<\/p>\n","protected":false},"author":0,"featured_media":64727,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"special":[],"_links":{"self":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/64745"}],"collection":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"replies":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=64745"}],"version-history":[{"count":0,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/64745\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/media\/64727"}],"wp:attachment":[{"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=64745"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=64745"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=64745"},{"taxonomy":"special","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fspecial&post=64745"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}