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analysis\uff09\u3002\u8fd9\u4e5f\u662f\u6211\u8c03\u67e5\u7684\u4e66\u7684\u8303\u56f4\u9650\u5b9a\u3002\u57fa\u4e8e\u6211\u5f88\u6709\u9650\u7684\u8c03\u67e5\u7684\u7ed3\u679c\u9996\u5148\u53ef\u4ee5\u660e\u786e\u7684\u81f3\u5c11\u662f\uff0c\u5728\u4e8c\u5341\u4e16\u7eaa\u7684\u5927\u5b66\u672c\u79d1\uff0c\u4eba\u4eec\u672c\u6765\u5c31\u662f\u6253\u7b97\u53ea\u6559\u7ed9\u5b66\u751f\u77e9\u9635\u7684\u90a3\u4e9b\u201c\u8fd0\u7b97\u201d\uff0c\u800c\u4e0d\u5173\u5fc3\u62bd\u8c61\u4ee3\u6570\u610f\u4e49\u7684\u201c\u5411\u91cf\u7a7a\u95f4\u201d\u3002\u6211\u4eec\u5173\u5fc3\u7684\u662f\uff0c\u8fd9\u4e9b\u6559\u6750\u7684\u4f5c\u8005\u662f\u5426\u89c9\u5f97\u201c\u77e9\u9635\u4ee3\u6570\u201d\u548c\u201c\u77e9\u9635\u5206\u6790\u201d\u5c31\u662f\u201c\u7ebf\u6027\u4ee3\u6570\u201d\u7684\u540c\u4e49\u8bcd\uff1b\u540c\u65f6\uff0c\u4e3a\u4f55\u8fd9\u4e9b\u4e13\u95e8\u5173\u4e8e\u77e9\u9635\u7684\u3001\u72ec\u7acb\u4e8e\u5411\u91cf\u7a7a\u95f4\u7684\u62bd\u8c61\u4ee3\u6570\u601d\u60f3\u7684\u8fd0\u7b97\u6cd5\u5219\u77e5\u8bc6\u90a3\u4e48\u91cd\u8981\u3002 [1] Maxime B\u00f4cher (1915), Introduction to higher algebra, The MacMillan Company \u8fd9\u672c\u4e66\u7684\u5185\u5bb9\u7f16\u6392\uff0c\u9c9c\u660e\u5730\u4f53\u73b0\u4e86\u201c\u7ebf\u6027\u65b9\u7a0b\u7ec4\u7406\u8bba\u201d\u7684\u7279\u8272\u3002\u56e0\u6b64\uff0c\u8be5\u4e66\u6807\u9898\u7528algebra\u4e00\u8bcd\uff0c\u4ee3\u8868\u4e86\u4e0a\u4e00\u8282\u6240\u8ff0\u201c\u4ee3\u6570\u5c31\u662f\u89e3\u65b9\u7a0b\u201d\u7684\u201c\u524d20\u4e16\u7eaa\u7406\u89e3\u201d\u3002 [2] Roger Horn, Charles Johnson (1985), Matrix analysis,\u2026","rel":"","context":"In 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\u4e94\u3001 \u5f88\u591a\u9762\u5411\u7269\u7406\u7cfb\u5b66\u751f\u7684\u201c\u6570\u5b66\u7269\u7406\u65b9\u6cd5\u201d\u8bfe\u672c\uff0c\u662fanti-mathematics\u7684\u3002\u5b83\u4eec\u4e0d\u8fc7\u662f\u4e00\u4e2a\u7a0d\u5fae\u6269\u5927\u4e86\u7684\u201c\u6570\u5b66\u51c6\u5907\u201d\uff0c\u662f\u201c\u4f1a\u7b97\u5c31\u884c\u201d\u90aa\u6559\u4ea7\u7269\u3002\u56e0\u6b64\u6211\u4e0d\u5efa\u8bae\u7eaf\u6d01\u7684\u5316\u5b66\u4e13\u4e1a\u5b66\u751f\u627e\u8fd9\u7c7b\u4e66\u6765\u5b66\u4e60\u6570\u5b66\u3002\u4f46\u9664\u4e86\u4e00\u672c\uff1a Sadri Hassani (2003), Mathematical Physics: A Modern Introduction to Its Foundations, 2nd ed., Springer 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\u6211\u57282009\u5e74\u7684\u90a3\u7bc7\u6587\u7ae0\u4e2d\u66fe\u8868\u793a\u5bf9\u4e2d\u5ddd\u81ea\u8ff0\u7684\u642d\u5efa\u4eea\u5668\u7684\u7ecf\u5386\u7684\u656c\u4f69\uff08\u8be6\u89c1\u539f\u6587\uff09\u3002\u73b0\u5728\u56de\u8fc7\u6765\u770b\uff0c\u6211\u672c\u4eba\u5728\u79d1\u5b66\u7814\u7a76\u4e0a\u7684\u6210\u957f\u4e5f\u8d70\u5411\u4e86\u4e00\u4e2a\u5b9e\u9a8c\u6d4b\u91cf\u8005\u3002\u5728\u539f\u7530\u91cd\u6cbb\u7684\u56de\u5fc6\u4e2d\u4e5f\u8bb2\u5230\uff0c\u8fd9\u786e\u5b9e\u662f\u4e2d\u5ddd\u9e64\u592a\u90ce\u7684\u5178\u578b\u7814\u7a76\u98ce\u683c\uff0c\u5e76\u63d0\u4f9b\u4e86\u66f4\u591a\u7684\uff0c\u5728\u4e2d\u5ddd\u7684\u6307\u5bfc\u4e0b\u653b\u8bfb\u7814\u7a76\u751f\u671f\u95f4\u7684\u4eea\u5668\u642d\u5efa\u7ecf\u5386\u3002\u65e5\u672c\u5728\u6218\u540e\u91cd\u5efa\u65f6\u671f\u7269\u8d44\u5f88\u7d27\u7f3a\uff0c\u5404\u65b9\u9762\u90fd\u5341\u5206\u56f0\u96be\uff0c\u5f88\u50cf\u6211\u56fd\u5728\u6587\u9769\u7ed3\u675f\u4e4b\u540e\u7684\u60c5\u5f62\u3002\u4e0d\u7ba1\u4f60\u8981\u505a\u4ec0\u4e48\u7814\u7a76\uff0c\u4f60\u90fd\u4e0d\u5f97\u4e0d\u719f\u77e5\u5404\u7c7b\u4e94\u91d1\u7535\u8def\u77e5\u8bc6\u548c\u5b9e\u8df5\u6280\u80fd\u3002\u6211\u57282009\u5e74\u7684\u6587\u7ae0\u4e2d\u5f3a\u8c03\u4e86\u81ea\u5df1\u642d\u5efa\u4eea\u5668\u7684\u91cd\u8981\u6027\u3002\u4e8b\u5b9e\u4e0a\uff0c\u4eca\u5929\u7684\u5316\u5b66\u4e13\u4e1a\u5b66\u751f\u5728\u8fd9\u65b9\u9762\u57fa\u672c\u77e5\u8bc6\u90fd\u662f\u7a7a\u767d\u7684\u3002\u4e0d\u77e5\u9053\u4e3a\u4ec0\u4e48\uff0c\u793e\u4f1a\u751f\u4ea7\u7684\u5206\u5de5\u7ec6\u5316\uff0c\u4e0d\u4ec5\u8ba9\u4e13\u4e1a\u5206\u5f97\u66f4\u7ec6\uff0c\u8fd8\u8ba9\u201c\u516c\u6c11\u5e38\u8bc6\u201d\u4e5f\u53d1\u751f\u4e86\u538b\u7f29\u3002\u66fe\u7ecf\u662f\u4e0d\u5206\u4e13\u4e1a\u7684\u5e38\u8bc6\u6216\u5fc5\u5907\u6280\u80fd\uff0c\u4e5f\u56e0\u5206\u5de5\u7ec6\u5316\u800c\u53d8\u6210\u4e86\u201c\u7531\u4e13\u4e1a\u4eba\u58eb\u5305\u529e\u201d\u7684\u4e8b\u60c5\u3002\u6bcf\u4e2a\u4e13\u4e1a\u7684\u4eba\u90fd\u56e0\u5206\u5de5\u7ec6\u5316\u800c\u53d8\u5f97\u66f4\u52a0\u201c\u5de5\u5177\u5316\u201d\uff0c\u540c\u65f6\u4e5f\u56e0\u5e38\u8bc6\u6b20\u7f3a\u800c\u53d8\u5f97\u9ebb\u6728\uff0c\u4e0d\u540c\u4e13\u4e1a\u7684\u4eba\u65e0\u6cd5\u6c9f\u901a\u3002\u8fd9\u662f\u4e0d\u662f\u8d44\u672c\u4e3b\u4e49\u7684\u9634\u8c0b\u5462\uff1f \u201c\u4e45\u5c71\u6c0f\u306e\u65b9\u6cd5\u201d \u6211\u57282009\u5e74\u7684\u90a3\u7bc7\u6587\u7ae0\u4e2d\u66fe\u5f15\u7528\uff0c\u4e2d\u5ddd\u63d0\u5230\u8fc7\u4e00\u4e2a\u53eb\u201c\u4e45\u5c71\u591a\u7f8e\u7537\u201d\u53d1\u8868\u5728\u201c\u79d1\u5b66\u201d\u6742\u5fd7\u4e0a\u7684\u4e00\u4e2a\u6d4b\u91cf\u7c98\u5f39\u6027\u7684\u65b9\u6cd5\u3002\u8fd9\u4e2a\u300a\u79d1\u5b66\u300b\u6742\u5fd7\u4e0d\u662f\u7f8e\u56fd\u7684\u90a3\u4e2a\uff0c\u800c\u662f\u65e5\u672c\u7684\u4e00\u4e2a\u671f\u520a\u300aKagaku\u300b\u3002\u73b0\u5728\u6211\u53ef\u4ee5\u544a\u8bc9\u5f53\u5e74\u9976\u6709\u5174\u8da3\u7684\u90a3\u4e2a\u81ea\u5df1\uff1a\u4e2d\u5ddd\u5728\u53e6\u4e00\u4e2a\u8bba\u6587\u91cc\u63d0\u5230\u4e86\u8fd9\u4e2a\u201c\u4e45\u5c71\u6c0f\u306e\u65b9\u6cd5\u201d\uff0c\u4ee5\u53ca\u5176\u4ed6\u7684\u51e0\u79cd\u6d4b\u91cf\u7c98\u5f39\u6027\u7684\u88c5\u7f6e\u8bbe\u8ba1\u3002\u5176\u4e2d\u4e45\u5c71\u7684\u4eea\u5668\u793a\u610f\u56fe\u5982\u4e0b\uff1a \u4e45\u5c71\u591a\u7f8e\u7537\u7684\u88c5\u7f6e \u5b9e\u9645\u4e0a\u5f88\u63a5\u8fd1\u4eca\u5929\u7684\u5e94\u529b\u63a7\u5236\u578b\u6d41\u53d8\u4eea\u3002 \u540c\u6837\u5730\uff0c2009\u5e74\u6211\u5f15\u7528\u7684\uff0c\u4e2d\u5ddd\u5728\u8bfb\u7814\u65f6\uff0c\u653e\u5f03\u7814\u7a76\u201c\u6ce1\u201d\u7684\u95ee\u9898\uff0c\u9009\u62e9\u7814\u7a76\u201c\u62c9\u4e1d\u201d\u7684\u95ee\u9898\uff0c\u6700\u540e\u6709\u6210\u679c\u5417\uff1f\u4eca\u5929\u6211\u4e5f\u53ef\u4ee5\u544a\u8bc9\u5f53\u5e74\u90a3\u4e2a\u81ea\u5df1\uff1a\u4ed6\u5728BCSJ\u4e0a\u53d1\u8868\u4e86\u4e24\u7bc7\u7cfb\u5217\u8bba\u6587\uff1aSpinnability of Liquid. A visco-elastic State. I & II\u3002\u5728\u300a\u6d41\u52a8\u7684\u56fa\u4f53\u300b\u4e2d\u663e\u793a\u7684\u201c\u6d4b\u91cf\u62c9\u4e1d\u6027\u7684\u88c5\u7f6e\u201d\u63d2\u56fe\uff0c\u5c31\u5728\u8fd9\u4e2a\u8bba\u6587I\u4e2d\u7684Fig. 3\u3002\u800c\u5bf9\u4e45\u5c71\u591a\u7f8e\u7537\u88c5\u7f6e\u7684\u501f\u9274\uff0c\u5219\u53ef\u89c1\u4e8e\u8bba\u6587II\u4e2d\u7684Fig. 2\u3002 \u9c81\u8fc5 \u4e2d\u5ddd\u5728\u4e00\u7bc7\u6587\u7ae0\u4e2d\u63d0\u5230\u8fc7\u9c81\u8fc5\u3002 1960\u5e74\u4ee3\u7684\u65e5\u672c\u662f\u6bd4\u8f83\u52a8\u8361\u7684\u3002\u4e2d\u5ddd\u57281967\u5e743\u6708\u53f7\u7684\u300a\u9ad8\u5206\u5b50\u300b\u6742\u5fd7\u4e2d\u53d1\u8868\u4e86\u4e00\u7bc7\u9898\u4e3a\u300a\u5e94\u8be5\u600e\u4e48\u505a\uff08\u4f55\u3092\u306a\u3059\u3079\u304d\u304b\uff09\u300b\u7684\u6587\u7ae0\uff0c\u6292\u53d1\u4e86\u5bf9\u65e5\u672c\u73b0\u72b6\u7684\u4e0d\u6ee1\u3002\u4ed6\u5c31\u662f\u5728\u8fd9\u7bc7\u8bba\u6587\u4e2d\u63d0\u5230\u4e86\u9c81\u8fc5\u3002\u800c\u57281970\u5e74\u53c8\u5728\u540c\u4e00\u672c\u6742\u5fd7\u53d1\u8868\u4e86\u8ddf\u653f\u6cbb\u76f8\u5173\u7684\u6587\u7ae0\u300a\u65b0\u7684\u975e\u7406\u6027\u4e3b\u4e49\u300b\uff0c\u66f4\u52a0\u76f4\u63a5\u5730\u6279\u8bc4\u4e86\u5f53\u65f6\u60f3\u8981\u6d17\u8131\u65e5\u672c\u5728\u4e8c\u6218\u4e2d\u7684\u7f6a\u884c\u7684\u601d\u60f3\u3002\u8fd9\u79cd\u601d\u60f3\u53ef\u80fd\u662f1960\u5e74\u4ee3\u5bf9\u7f8e\u56fd\u4fb5\u72af\u65e5\u672c\u6743\u76ca\u548c\u5c0a\u4e25\u7684\u6297\u8bae\u7684\u8fc7\u5ea6\u53cd\u5e94\u3002\u8fd9\u7bc7\u8bba\u6587\u6700\u540e\u4e00\u53e5\u5f88\u7cbe\u5f69\uff1a \u610f\u8bc6\u5f62\u6001\u7684\u201c\u9524\u5b50\u201d\u53ef\u4ee5\u81ea\u7531\u6325\u821e\u610f\u8bc6\u5f62\u6001\uff0c\u4f46\u4e0d\u80fd\u81ea\u7531\u6325\u821e\u73b0\u5b9e\u3002 \u6211\u4ece\u4e2d\u5ddd\u8fd9\u4e9b\u96f6\u661f\u7684\u653f\u6cbb\u5c0f\u6587\u7ae0\uff0c\u4f3c\u4e4e\u770b\u5230\u4e86\u9c81\u8fc5\u7b14\u4e0b\u7684\u5bf9\u4e2d\u56fd\u53cb\u597d\u7684\u90a3\u4e2a\u85e4\u91ce\u5148\u751f\u3002 \u5728\u7985\u5bfa\u7684\u95e8\u524d\u5f98\u5f8a 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