{"id":883,"date":"2022-05-29T11:45:51","date_gmt":"2022-05-29T03:45:51","guid":{"rendered":"https:\/\/damakey.com\/?p=883"},"modified":"2023-05-24T17:11:49","modified_gmt":"2023-05-24T09:11:49","slug":"%e6%95%b8%e5%ad%b8%e6%8b%be%e7%a9%97","status":"publish","type":"post","link":"https:\/\/damakey.com\/?p=883","title":{"rendered":"\u6578\u5b78\u62fe\u7a57"},"content":{"rendered":"

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

 <\/p>\n

\u7562\u9054\u54e5\u62c9\u65af<\/span>(<\/span>\u897f\u5143\u524d<\/span>570<\/span>\u5e74<\/span>–<\/span>\u897f\u5143\u524d<\/span>495<\/span>\u5e74<\/span>) <\/span>\uff0c\u662f\u53e4\u5e0c\u81d8\u7684\u54f2\u5b78\u5bb6\u3001\u6578\u5b78\u5bb6\u548c\u97f3\u6a02\u5bb6\u3002<\/span><\/p>\n

 <\/p>\n

\u64da\u8aaa\u6709\u4e00\u6b21\u7562\u9054\u54e5\u62c9\u65af\u7d93\u904e\u6253\u9435\u5e97\u7684\u9580\u53e3\uff0c\u807d\u5230\u4e0d\u540c\u91cd\u91cf\u7684\u9435\u9318\u6253\u5728\u9435\u4e0a\uff0c\u767c\u51fa\u4e86\u6085\u8033\u7684\u8072\u97f3\uff0c\u5c31\u56de\u5bb6\u7528\u7434\u5f26\u7814\u7a76\u5230\u5e95\u600e\u9ebc\u6a23\u7684\u8072\u97f3\u642d\u914d\u6700\u548c\u8ae7<\/span>(<\/span>\u597d\u807d<\/span>)<\/span>\u3002\u56e0\u70ba\u90a3\u500b\u6642\u4ee3\u5c0d\u8072\u97f3\u7684\u983b\u7387\u7121\u6cd5\u638c\u63e1\uff0c\u7562\u9054\u54e5\u62c9\u65af\u5c31\u8abf\u6574\u7434\u5f26\u7684\u9577\u5ea6\uff0c\u7136\u5f8c\u4ed6\u767c\u73fe\u4e86\u597d\u8072\u97f3\u7684\u898f\u5f8b\u3002<\/span><\/p>\n

 <\/p>\n

\u7562\u6c0f\u7684\u7434\u5f26\u5f8b<\/span>*<\/span><\/p>\n

 <\/p>\n

    \n
  1. <\/span>\u5169\u97f3\u4e4b\u548c\u8ae7\u6085\u8033\u8ddf\u5176\u5169\u5f26\u9577\u6210\u7c21\u55ae\u6574\u6578\u6bd4\u6709\u95dc\u3002<\/span><\/li>\n
  2. <\/span>\u5169\u97f3\u5f26\u9577\u4e4b\u6bd4\u70ba<\/span>4:3<\/span>\uff0c<\/span>3:2<\/span>\uff0c\u53ca<\/span>2:1<\/span>\u6642\uff0c\u662f\u548c\u8ae7\u7684\uff0c\u4e26\u4e14\u97f3\u7a0b\u5206\u5225\u70ba\u56db\u5ea6\u3001\u4e94\u5ea6\u53ca\u516b\u5ea6\u3002<\/span><\/li>\n<\/ol>\n

    \u983b\u7387f\u548c\u5f26\u9577l\u6210\u53cd\u6bd4(\u9019\u662f\u4f3d\u5229\u7565\u767c\u73fe\u7684)\uff0c\u6240\u4ee5\u5982\u679c\u4ee5\u73fe\u4ee3\u7684\u89c0\u5ff5(\u983b\u7387\u6108\u9ad8\uff0c\u97f3\u6108\u9ad8)\u4f86\u770b\u7562\u6c0f\u7684\u7434\u5f26\u5f8b\uff0c\u90a3\u9ebc\u5169\u500b\u97f3\u983b\u7387\u7684\u6bd4\u5982\u679c\u662f\u6574\u6578\u6bd4\uff0c\u8b6c\u59822:1\uff0c3:2\u53ca4:3\u6642\uff0c\u5169\u500b\u97f3\u6700\u548c\u8ae7\uff0c\u800c\u4e14\u5206\u5225\u76f8\u5dee\u516b\u5ea6\uff0c\u4e94\u5ea6\u53ca\u56db\u5ea6\u97f3\u3002<\/p>\n

     <\/p>\n

    \u90a3\u600e\u9ebc\u5b9a\u51fa\u8de8\u8d8a\u5728<\/span>1<\/span>\u548c<\/span>2<\/span>\u4e4b\u9593\uff0c\u9019\u516b\u5ea6\u97f3\u7684\u53e6\u5916\u516d\u500b\u97f3\u968e\u5462\uff1f<\/span><\/p>\n

     <\/p>\n

    \u7562\u9054\u54e5\u62c9\u65af\u7528\u300c\u4e94\u5ea6\u97f3\u5faa\u74b0\u6cd5\u300d\uff0c\u7531<\/span>1<\/span>\u958b\u59cb\uff0c\u4e0d\u65b7\u5347\u9ad8\u4e94\u5ea6<\/span>(<\/span>\u4e58<\/span>3\/2, <\/span>\u9023\u7e8c<\/span> 5<\/span>\u6b21<\/span>)<\/span>\uff0c\u518d\u5347\u516b\u5ea6\u6216\u964d\u516b\u5ea6<\/span>(<\/span>\u4e58\u4ee5<\/span>2<\/span>\u6216\u9664\u4ee5<\/span>2)<\/span><\/p>\n

     <\/p>\n

    1<\/span>\uff0c<\/span>(3\/2)<\/span>\uff0c<\/span>(3\/2)^2<\/span>\uff0c<\/span>(3\/2)^3<\/span>\uff0c<\/span>(3\/2)^4<\/span>\uff0c<\/span>(3\/2)^5<\/span><\/p>\n

     <\/p>\n

    \u4e5f\u5c31\u662f<\/span><\/p>\n

     <\/p>\n

    1<\/span>\uff0c<\/span>3\/2<\/span>\uff0c<\/span>9\/4<\/span>\uff0c<\/span>27\/8<\/span>\uff0c<\/span>81\/16<\/span>\uff0c<\/span>243\/32<\/span><\/p>\n

     <\/p>\n

    \u628a<\/span> 9\/4 <\/span>\uff0c<\/span>27\/8 <\/span>\u5404\u964d\u516b\u5ea6\uff0c\u628a<\/span>81\/16<\/span>\uff0c<\/span>243\/32 <\/span>\u5404\u964d\u5341\u516d\u5ea6\uff0c\u90fd\u62c9\u56de\u516b\u97f3\u5ea6\u5167<\/span>(<\/span>\u5373\u4ecb\u65bc<\/span>1<\/span>\u548c<\/span>2)<\/span>\uff1a<\/span><\/p>\n

     <\/p>\n

    1<\/span>\uff0c<\/span>3\/2<\/span>\uff0c<\/span>9\/8<\/span>\uff0c<\/span>27\/16<\/span>\uff0c<\/span>81\/64<\/span>\uff0c<\/span>243\/128<\/span>\uff0c<\/span>2<\/span><\/p>\n

     <\/p>\n

    \u4f9d\u5927\u5c0f\u6392\u5e8f\u5982\u4e0b<\/span><\/p>\n

     <\/p>\n

    1<\/span>\uff0c<\/span>9\/8<\/span>\uff0c<\/span>81\/64<\/span>\uff0c\uff1f\uff0c<\/span>3\/2<\/span>\uff0c<\/span>27\/16<\/span>\uff0c<\/span>243\/128<\/span>\uff0c<\/span>2<\/span><\/p>\n

     <\/p>\n

    \u4e2d\u9593\u7f3a\u4e00\u500b\u7b2c\u56db\u97f3\uff0c\u7531<\/span>1<\/span>\u964d\u4e94\u5ea6\u97f3<\/span>(<\/span>\u4e58\u4ee5<\/span>2\/3)<\/span>\uff0c\u518d\u5347\u516b\u5ea6<\/span>(<\/span>\u4e58\u4ee5<\/span>2)<\/span>\uff0c\u5f97\u5230<\/span>4\/3<\/span><\/p>\n

     <\/p>\n

    \u6700\u5f8c\u5f97\u5230\u7684\uff0c\u5c31\u662f\u300c\u7562\u6c0f\u97f3\u968e\u300d\uff1a<\/span><\/p>\n

     <\/p>\n

    1<\/span>\uff0c<\/span>9\/8<\/span>\uff0c<\/span>81\/64<\/span>\uff0c<\/span>4\/3<\/span>\uff0c<\/span>3\/2<\/span>\uff0c<\/span>27\/16<\/span>\uff0c<\/span>243\/128<\/span>\uff0c<\/span>2<\/span><\/p>\n

     <\/p>\n

    \u7562\u6c0f\u97f3\u968e\uff0c\u4e5f\u53ef\u4ee5\u63a1\u53d6\u4e2d\u570b\u53e4\u4ee3\u7ba1\u5b50\u7684\u300c\u4e09\u5206\u640d\u76ca\u6cd5\u300d\u6c42\u5f97\u3002<\/span><\/p>\n

     <\/p>\n

    \u300e<\/span>……<\/span>\u5c31\u662f\u4ea4\u4e92\u4f7f\u7528\u300c\u4e09\u5206\u640d\u4e00\u6cd5\u300d<\/span>(<\/span>\u53bb\u6389\u4e09\u5206\u4e4b\u4e00\u9577<\/span>)<\/span>\u53ca\u300c\u4e09\u5206\u76ca\u4e00\u6cd5\u300d<\/span>(<\/span>\u5373\u5c07\u6240\u5269\u518d\u589e\u52a0\u4e09\u5206\u4e4b\u4e00\u9577<\/span>)<\/span>\u3002\u6539\u7528\u983b\u7387\u7684\u8aaa\u6cd5\u5373\u70ba\uff1a\u7531\u4e00\u500b\u97f3\u51fa\u767c\uff0c\u4e0d\u59a8\u53d6\u5176\u70ba<\/span>1<\/span>\uff0c\u300c\u4e09\u5206\u640d\u4e00\u6cd5\u300d\u5c31\u662f\u4e58\u4ee5<\/span>3\/2(<\/span>\u5373\u5347\u9ad8\u4e94\u5ea6\u97f3\u7a0b<\/span>)<\/span>\uff0c\u300c\u4e09\u5206\u76ca\u4e00\u6cd5\u300d\u5c31\u662f\u4e58\u4ee5<\/span>3\/4(<\/span>\u5373\u964d\u56db\u5ea6\u97f3\u7a0b<\/span>)<\/span>\uff0c\u5982\u6b64\u4ea4\u4e92\u76f8\u751f\u300f<\/span>*<\/span>\uff1a<\/span><\/p>\n

     <\/p>\n

    1<\/span>\uff0c<\/span>3\/2(=1*3\/2)<\/span>\uff0c<\/span>9\/8(=3\/2*3\/4)<\/span>\uff0c<\/span>27\/16(=9\/8*3\/2)<\/span>\uff0c<\/span>81\/64(=27\/16*3\/4)<\/span>\uff0c<\/span>2<\/span><\/p>\n

     <\/p>\n

    \u4f9d\u5927\u5c0f\u6392\u5217\uff0c\u5c31\u5f97\u5230\u300c\u4e94\u8072\u97f3\u968e\u300d\uff1a<\/span><\/p>\n

     <\/p>\n

    1<\/span>\uff0c<\/span>9\/8<\/span>\uff0c<\/span>81\/64<\/span>\uff0c<\/span>3\/2<\/span>\uff0c<\/span>27\/16<\/span>\uff0c<\/span>2   <\/span><\/span>\u800c\u9019\u5c31\u662f\u5bae\u3001\u5546\u3001\u89d2\u3001\u5fb5\u3001\u7fbd\u3001\u5bae\u4e86\u3002<\/span><\/p>\n

     <\/p>\n

    \u518d\u52a0\u4e0a<\/span>81\/64*3\/2=243\/128 (<\/span>\u8b8a\u5bae<\/span>)<\/span>\u53ca<\/span> 4\/3(<\/span>\u8b8a\u5fb5<\/span>)<\/span>\uff0c\u300c\u4e94\u8072\u97f3\u968e\u300d\u5c31\u8b8a\u6210\u300c\u7562\u6c0f\u97f3\u968e\u300d<\/span>(<\/span>\u4e03\u97f3\u8072\u968e<\/span>)<\/span>\u4e86\u3002<\/span><\/p>\n

     <\/p>\n

    \u4f9d\u7167\u7562\u6c0f\u7684\u7434\u5f26\u5f8b\uff0c\u5169\u500b\u97f3\u7684\u983b\u7387\u6108\u5448\u73fe\u7c21\u55ae\u6574\u6578\u6bd4\uff0c\u8072\u97f3\u6108\u8ae7\u8abf\u3002\u4f46\u662f\u5728\u300c\u7562\u6c0f\u97f3\u968e\u300d\u4e2d\u7684<\/span>mi\/do 81\/64=1.265<\/span>\u5c31\u6bd4\u6574\u6578\u500d\u7684<\/span>5\/4=1.25<\/span>\u9ad8\uff0c\u8072\u97f3\u6703\u7a0d\u986f\u5c16\u92ed\uff1b<\/span>fa\/re (4\/3)\/(9\/8)=1.185 <\/span>\u53c8\u6bd4\u6574\u6578\u500d\u7684<\/span>5\/4=1.25<\/span>\u4f4e\uff0c\u8072\u97f3\u6703\u7a0d\u986f\u4f4e\u6c88\u3002\u53e6\u5916\uff0c\u7562\u6c0f\u97f3\u968e\u5728\u8003\u616e\u534a\u97f3\u97f3\u968e\u4e5f\u6703\u6709\u554f\u984c\u3002<\/span><\/p>\n

     <\/p>\n

    \u70ba\u4e86\u89e3\u6c7a\u300c\u7562\u6c0f\u97f3\u968e\u300d\u7684\u554f\u984c\uff0c\u6258\u52d2\u5bc6\u628a\u7562\u6c0f\u97f3\u968e\u7684<\/span>81\/64<\/span>\u3001<\/span>27\/16<\/span>\u3001<\/span>243\/128<\/span>\u4fee\u6539\u70ba<\/span>5\/4<\/span>\u3001<\/span>5\/3<\/span>\u3001<\/span>15\/8<\/span>\uff0c\u97f3\u968e\u8b8a\u6210\u4e86\u6240\u8b02\u7684\u300c\u7d14\u5f8b\u97f3\u968e\u300d\uff1a<\/span><\/p>\n

     <\/p>\n

    1<\/span>\uff0c<\/span>9\/8<\/span>\uff0c<\/span>5\/4<\/span>\uff0c<\/span>4\/3<\/span>\uff0c<\/span>3\/2<\/span>\uff0c<\/span>5\/3<\/span>\uff0c<\/span>15\/8<\/span>\uff0c<\/span>2<\/span><\/p>\n

     <\/p>\n

    \u4f46\u662f\u300c\u7d14\u5f8b\u97f3\u968e\u300d\u4e26\u672a\u89e3\u6c7a\u8072\u97f3\u4e0d\u8ae7\u8abf\u7684\u554f\u984c\uff0c\u534a\u97f3\u97f3\u7a0b\u4e5f\u6709\u554f\u984c\uff0c\u56e0\u6b64\u6709\u4e86\u6240\u8b02\u7684\u300c\u5341\u4e8c\u5e73\u5747\u5f8b\u300d\uff0c\u628a<\/span>1<\/span>\u5230<\/span>2<\/span>\u4e4b\u9593\u7684\u97f3\u7a0b\uff0c\u7528<\/span>2^(1\/12)<\/span>\u7684\u500d\u6578\u5207\u6210<\/span>12<\/span>\u6bb5\uff1a<\/span><\/p>\n

     <\/p>\n

    \u97f3\u540d<\/span>      <\/span><\/span>\u5341\u4e8c\u5e73\u5747\u5f8b<\/span>                 <\/span><\/span>\u81ea\u7136\u97f3\u7a0b<\/span><\/p>\n

    ———-  <\/span>——————————- ————-<\/span><\/p>\n

    C do                            <\/span>1.0000      <\/span>1.0000<\/span><\/p>\n

        <\/span>do#         <\/span>2^(1\/12)=1.05959    <\/span><\/span>\u7565<\/span><\/p>\n

    D re      <\/span>(2^(1\/12))^2=1.1225       <\/span><\/span>\u7565<\/span><\/p>\n

        <\/span>re#   <\/span>(2^(1\/12))^3=1.1892      <\/span>1.2000<\/span><\/p>\n

    E  <\/span>mi     <\/span>(2^(1\/12))^4=1.2599     <\/span>1.2500<\/span><\/p>\n

    F  <\/span>fa      <\/span>(2^(1\/12))^5=1.3348    <\/span>1.3333<\/span><\/p>\n

        <\/span>fa#    <\/span>(2^(1\/12))^6=1.41142    <\/span><\/span>\u7565<\/span><\/p>\n

    G  <\/span>so     <\/span>(2^(1\/12))^7=1.4983    <\/span>1.5000<\/span><\/p>\n

         <\/span>so#   <\/span>(2^(1\/12))^8=1.5874    <\/span>1.6000<\/span><\/p>\n

    A  <\/span>la       <\/span>(2^(1\/12))^9=1.6818    <\/span>1.6667<\/span><\/p>\n

         <\/span>la#   <\/span>(2^(1\/12))^10=1.7818     <\/span><\/span>\u7565<\/span><\/p>\n

    B   <\/span>si      <\/span>(2^(1\/12))^11=1.8877    <\/span><\/span>\u7565<\/span><\/p>\n

    C’  <\/span>do’   <\/span>(2^(1\/12))^12=2.0000  <\/span>2.0000<\/span><\/p>\n

     <\/p>\n

    \u300c\u5341\u4e8c\u5e73\u5747\u5f8b\u300d\u7684\u512a\u9ede\u662f\u8f49\u8abf\u5bb9\u6613<\/span>(<\/span>\u9019\u5c0d\u7434\u9375\u6524\u5728\u4e00\u500b\u5e73\u9762\u4e0a\u7684\u92fc\u7434\u5f88\u91cd\u8981<\/span>)<\/span>\uff0c\u4f46\u662f\u6bd4\u8f03\u8d77\u81ea\u7136\u97f3\u7a0b\uff0c\u9084\u662f\u6709\u97f3\u4e0d\u5920\u6e96\u3001\u548c\u5f26\u6548\u679c\u4e0d\u5b8c\u7f8e\u7b49\u7b49\u7684\u7f3a\u9ede\u3002<\/span><\/p>\n

     <\/p>\n

    \u76ee\u524d\u7684\u570b\u969b\u6a19\u6e96<\/span>(ISO)<\/span>\uff0c\u662f\u628a<\/span>A la<\/span>\u7684\u983b\u7387\u5b9a\u70ba<\/span>440Hz<\/span>\uff0c\u5176\u5b83\u97f3\u7684\u983b\u7387\u5c31\u4f9d\u6bd4\u4f8b\u6c7a\u5b9a\u4e86\u3002\u7136\u800c\u5728\u9019\u500b\u6a19\u6e96\u4e4b\u524d<\/span>(<\/span>\u7d04\u4e8c\u6230\u4e4b\u524d<\/span>)<\/span>\uff0c<\/span>A la<\/span>\u7684\u983b\u7387\u53ef\u662f<\/span>432Hz<\/span>\u7684\u3002<\/span><\/p>\n

     <\/p>\n

    \u7434\u5f26\u5728\u9707\u52d5\u7684\u6642\u5019\uff0c\u6709\u4e00\u500b\u57fa\u672c\u7684\u983b\u7387\uff0c\u7522\u751f\u7684\u8072\u97f3\u53eb\u57fa\u97f3\u3002\u9664\u4e86\u57fa\u97f3\uff0c\u9084\u6703\u6709\u4e00\u7cfb\u5217\u7684\u6cdb\u97f3\u9707\u52d5\uff0c\u7406\u8ad6\u4e0a\u6709\u7121\u9650\u591a\u7d44\uff0c\u4f46\u53ea\u6709\u6700\u4e3b\u8981\u7684\u6cdb\u97f3\u5f71\u97ff\u8f03\u5927\u3002\u57fa\u97f3\u548c\u6cdb\u97f3\u4ea4\u4e92\u7d9c\u5408\u8d77\u4f86\u5c31\u662f\u6211\u5011\u807d\u5230\u7684\u8072\u97f3\u3002\u4ee5\u81ea\u7136\u97f3\u7a0b\u7684<\/span>1(C do)<\/span>\u70ba\u4f8b\uff0c\u5b83\u6700\u5f37\u7684\u6cdb\u97f3\u5c31\u662f\u767c\u751f\u5728\u4e8c\u500d\u97f3\u7a0b\u7684<\/span>2(C’  <\/span>do’)<\/span>\uff0c\u628a\u97f3\u7a0b\u5b9a\u5728<\/span>1<\/span>\u548c<\/span>2<\/span>\uff0c\u540c\u6642\u5f48\u8d77\u4f86\u5c31\u6703\u986f\u5f97\u5f88\u548c\u8ae7\u3002\u9019\u4e5f\u5c31\u662f\u300c\u7562\u6c0f\u7684\u7434\u5f26\u5f8b\u300d\u4e2d\u6240\u4e3b\u5f35\u7684\uff0c\u300c\u5169\u97f3\u4e4b\u548c\u8ae7\u6085\u8033\u8ddf\u5176\u5169\u5f26\u9577\u6210\u7c21\u55ae\u6574\u6578\u6bd4\u6709\u95dc\u300d\uff0c<\/span>1:2 <\/span>\u662f\u7c21\u55ae\u6574\u6578\u6bd4\u3002<\/span><\/p>\n

     <\/p>\n

    \u96d6\u7136\u53ef\u4ee5\u7528\u6578\u5b57\u628a\u300c\u5341\u4e8c\u5e73\u5747\u5f8b\u300d\u7684\u6bcf\u4e00\u500b\u97f3\u7a0b\u7b97\u51fa\u4f86\uff0c\u4f46\u90a3\u4e5f\u53ea\u662f\u81ea\u7136\u97f3\u7a0b\u7684\u8fd1\u4f3c\u503c\u800c\u5df2\uff0c\u662f\u97f3\u6a02\u85dd\u8853\u4e0d\u5f97\u4e0d\u7684\u4e00\u7a2e\u59a5\u5354\u3002\u9084\u597d\u4e00\u822c\u4eba\u7684\u8033\u6735\u6c92\u6709\u90a3\u9ebc\u654f\u92b3\uff0c\u800c\u97f3\u6a02\u900f\u904e\u5404\u7a2e\u64ad\u653e\u5668\u91cd\u73fe\u51fa\u4f86\u6642\u6703\u7522\u751f\u8aa4\u5dee\uff0c\u52a0\u4e0a\u95b2\u807d\u74b0\u5883\u7684\u5e72\u64fe\uff0c\u300c\u5341\u4e8c\u5e73\u5747\u5f8b\u300d\u7684\u5c0f\u5c0f\u59a5\u5354\uff0c\u5c31\u8b8a\u5f97\u53ef\u4ee5\u63a5\u53d7\u4e86\u3002<\/span><\/p>\n

     <\/p>\n

    \u7434\u5f26\u632f\u52d5\u7522\u751f\u8072\u97f3\uff0c\u5728\u300a\u6578\u5b78\u62fe\u7a57\u300b\u9019\u672c\u66f8\u4e2d\uff0c\u4e5f\u9032\u4e00\u6b65\u63a8\u5c0e\u51fa\u4e86\u7434\u5f26\u632f\u52d5\u51fd\u6578<\/span>y=y(t,x)<\/span>\u662f\u7531\u8a31\u591a\u55ae\u983b\u632f\u52d5\u6240\u7d44\u6210\u7684<\/span>:<\/span><\/p>\n

     <\/p>\n

    yn(t,x)=Cn*cos(n<\/span>\ud835\udf45<\/span>α\/l *t)*sin(n<\/span>\ud835\udf45<\/span>\/l *x) <\/span><\/p>\n


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

    (t<\/span>\u70ba\u6642\u9593\uff0c<\/span>x<\/span>\u70ba\u5f26\u4e0a\u5728\u6a6b\u8ef8\u4e0a\u7684\u67d0\u9ede\uff0c<\/span>yn(t,x) <\/span>\u70ba\u5728\u7e31\u8ef8\u4e0a\u7684\u4f4d\u79fb\uff0c<\/span>n<\/span>\u70ba\u81ea\u7136\u6578\uff0c<\/span>Cn<\/span>\u662f\u5085\u7acb\u8449\u4fc2\u6578\uff0c<\/span>l<\/span>\u70ba\u5f26\u7684\u9577\u5ea6<\/span> <\/span>\uff0c<\/span>T<\/span>\u70ba\u5f26\u7684\u5f35\u529b\uff0c<\/span>ρ<\/span>\u70ba\u5f26\u7684\u5bc6\u5ea6\uff0c<\/span>α=(T\/ ρ)^(1\/2))<\/span><\/p>\n

     <\/p>\n

    \u6211\u5011\u7a31<\/span>yn(t,x)<\/span>\u662f\u5177\u6709\u983b\u7387<\/span>fn=na\/2l=n\/2l*(T\/ρ)^(1\/2) <\/span>\u7684\u4e00\u500b\u99d0\u6ce2<\/span><\/p>\n

    (<\/span>\u983b\u7387\u548c\u5f26\u7684\u5f35\u529b\u6210\u6b63\u6bd4\uff0c\u548c\u5f26\u7684\u9577\u5ea6\u3001\u5bc6\u5ea6\u6210\u53cd\u6bd4\uff0c\u9019\u548c\u76f4\u89c0\u7684\u7d93\u9a57\u662f\u4e00\u81f4\u7684<\/span>)<\/span><\/p>\n

     <\/p>\n

    n=1 <\/span>\u7684\u6642\u5019\uff0c<\/span>f1=1\/2l*(T\/ρ)^(1\/2) <\/span>\u53eb\u505a\u57fa\u97f3<\/span><\/p>\n

     <\/p>\n

    f2=2f1, f3=3f1, f4=4f1,… <\/span>\u9019\u4e9b\u5c31\u662f\u57fa\u97f3\u983b\u7387\u6574\u6578\u500d\u7684\u6cdb\u97f3\uff0c\u53c8\u56de\u5230\u4e86\u7562\u6c0f\u7684\u7434\u5f26\u5f8b\uff0c\u300c\u5169\u97f3\u4e4b\u548c\u8ae7\u6085\u8033\u8ddf\u5176\u5169\u5f26\u9577\u6210\u7c21\u55ae\u6574\u6578\u6bd4\u6709\u95dc\u300d\u4e86\uff01<\/span><\/p>\n

     <\/p>\n

    *<\/span>\uff1a\u300a\u6578\u5b78\u62fe\u7a57\u300b\uff0c\u8521\u8070\u660e<\/span> <\/span>\u8457<\/span><\/p>\n

     <\/p>\n

    **<\/span>\uff1a\u300c\u51e1\u5c07\u8d77\u4e94\u97f3\uff0c<\/span> <\/span>\u5148\u4e3b\u4e00\u800c\u4e4b\uff0c\u56db\u958b\u4ee5\u5408\u4e5d\u4e5d\uff0c\u4ee5\u662f\u751f\u9ec3\u9418\u5c0f\u7d20\u4e4b\u9996\u4ee5\u6210\u5bae\uff0c\u4e09\u5206\u800c\u76ca\u4e4b\uff0c\u70ba\u767e\u6709\u516b\uff0c\u70ba\u5fb5\uff1b\u4e0d\u7121\u4e09\u5206\u800c\u53bb\u5176\u4e58\uff0c\u9069\u8db3\u4ee5\u662f\u751f\u5546\uff1b\u6709\u4e09\u5206\u800c\u5fa9\u4e8e\u5176\u6240\uff0c\u4ee5\u662f\u751f\u7fbd\uff1b\u6709\u4e09\u5206\u800c\u53bb\u5176\u4e58\uff0c\u4ee5\u662f\u751f\u89d2\u3002\u300d\u300a\u7ba1\u5b50<\/span>.<\/span>\u5730\u54e1\u7bc7\u300b<\/span><\/p>\n

     <\/p>\n

    2022\/5\/29 <\/span>\u6578\u5b78\u62fe\u7a57<\/span> Damakey<\/span><\/p>\n

     <\/p>\n

     <\/p>\n","protected":false},"excerpt":{"rendered":"

      \u7562\u9054\u54e5\u62c9\u65af(\u897f\u5143\u524d570\u5e74–\u897f\u5143\u524d…<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"content-type":"","footnotes":""},"categories":[3],"tags":[],"class_list":["post-883","post","type-post","status-publish","format-standard","hentry","category-3"],"_links":{"self":[{"href":"https:\/\/damakey.com\/index.php?rest_route=\/wp\/v2\/posts\/883","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/damakey.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/damakey.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/damakey.com\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/damakey.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=883"}],"version-history":[{"count":1,"href":"https:\/\/damakey.com\/index.php?rest_route=\/wp\/v2\/posts\/883\/revisions"}],"predecessor-version":[{"id":19874,"href":"https:\/\/damakey.com\/index.php?rest_route=\/wp\/v2\/posts\/883\/revisions\/19874"}],"wp:attachment":[{"href":"https:\/\/damakey.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=883"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/damakey.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=883"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/damakey.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=883"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}