{"id":127,"date":"2015-03-03T23:35:06","date_gmt":"2015-03-03T15:35:06","guid":{"rendered":"http:\/\/sqrt-1.me\/?p=127"},"modified":"2015-03-06T22:19:05","modified_gmt":"2015-03-06T14:19:05","slug":"%e4%b8%8d%e5%90%8c%e8%b7%9d%e7%a6%bb%e6%a6%82%e5%bf%b5%e4%b8%8b%e7%9a%84%e5%8d%95%e4%bd%8d%e5%9c%86","status":"publish","type":"post","link":"https:\/\/sqrt-1.me\/?p=127","title":{"rendered":"\u4e0d\u540c\u201c\u8ddd\u79bb\u201d\u6982\u5ff5\u4e0b\u7684\u5355\u4f4d\u5706"},"content":{"rendered":"<p>\u6628\u5929\u6570\u5b66\u5206\u6790\u8bfe\u4e0a\u8bb2\u4e86\u201c\u8ddd\u79bb\u201d\u6982\u5ff5\u7684\u63a8\u5e7f\u3002<\/p>\n<p>\u5e7f\u4e49\u7684\u201c\u8ddd\u79bb\u201d\uff08\u660e\u53ef\u592b\u65af\u57fa\u8ddd\u79bb\uff09\u5b9a\u4e49\u4e3a<\/p>\n<p>$${P_\\alpha }\\left( {\\left( {{x_1},{y_1}} \\right),\\left( {{x_2},{y_2}} \\right)} \\right) = {\\left( {{{\\left| {{x_1} &#8211; {x_2}} \\right|}^\\alpha } + {{\\left| {{y_1} &#8211; {y_2}} \\right|}^\\alpha }} \\right)^{\\frac{1}{\\alpha }}}$$<\/p>\n<p>\u5176\u4e2d\\(\\alpha =1\\)\u65f6\u4e3a\u66fc\u54c8\u987f\u8ddd\u79bb\uff0c\\(\\alpha =2\\)\u65f6\u4e3a\u6b27\u6c0f\u8ddd\u79bb\u3002<\/p>\n<p>\u5bf9\u4e8e\u4e0d\u540c\u7684\u201c\u8ddd\u79bb\u201d\u53ef\u4ee5\u753b\u51fa\u5bf9\u5e94\u7684\u5355\u4f4d\u5706\uff08\u5373\u5230\u539f\u70b9\u201c\u8ddd\u79bb\u201d\u4e3a1\u7684\u70b9\u7684\u96c6\u5408\uff09<\/p>\n<p>\u5f53\\(\\alpha\\)\u4ece0\u53d8\u5316\u52304\u65f6\uff0c\u5355\u4f4d\u5706\u7684\u5f62\u72b6\u7684\u53d8\u5316\u5f88\u6709\u8da3\uff0c\u6211\u505a\u4e86\u4e0b\u9762\u7684\u52a8\u6001\u56fe\uff1a<\/p>\n<p><a href=\"http:\/\/sqrt-1.me\/wp-content\/uploads\/2015\/03\/circle.gif\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/sqrt-1.me\/wp-content\/uploads\/2015\/03\/circle.gif\" alt=\"circle\" width=\"360\" height=\"352\" class=\"alignnone size-full wp-image-128\" \/><\/a><\/p>\n<p>\u6ce8\uff1a\\(\\)\\alpha <1[\/latex]\u65f6\u4e0d\u6ee1\u8db3\u201c\u8ddd\u79bb\u201d\u7684\u5b9a\u4e49\uff0c\u4f46\u662f\u4e5f\u53ef\u4ee5\u753b\u51fa\u5bf9\u5e94\u7684\u5355\u4f4d\u5706\u3002\n\n\u5982\u679c\u628a\u8fd9\u79cd\u201c\u5355\u4f4d\u5706\u201d\u63a8\u5e7f\u5230\u4e09\u7ef4\u7a7a\u95f4\uff0c\u4e5f\u53ef\u4ee5\u4f5c\u51fa\u5f88\u6709\u8da3\u7684\u56fe\uff0c\u4f8b\u5982\u4e0b\u9762\u662f[latex]x^4+y^4+z^4=1[\/latex]\u7684\u56fe\u50cf\uff1a\n\n<a href=\"http:\/\/sqrt-1.me\/wp-content\/uploads\/2015\/03\/3Dfunc.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/sqrt-1.me\/wp-content\/uploads\/2015\/03\/3Dfunc.png\" alt=\"3Dfunc\" width=\"684\" height=\"763\" class=\"alignnone size-full wp-image-137\" srcset=\"https:\/\/sqrt-1.me\/wp-content\/uploads\/2015\/03\/3Dfunc.png 684w, https:\/\/sqrt-1.me\/wp-content\/uploads\/2015\/03\/3Dfunc-269x300.png 269w\" sizes=\"auto, (max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 984px) 61vw, (max-width: 1362px) 45vw, 600px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6628\u5929\u6570\u5b66\u5206\u6790\u8bfe\u4e0a\u8bb2\u4e86\u201c\u8ddd\u79bb\u201d\u6982\u5ff5\u7684\u63a8\u5e7f\u3002 \u5e7f\u4e49\u7684\u201c\u8ddd\u79bb\u201d\uff08\u660e\u53ef\u592b\u65af\u57fa\u8ddd\u79bb\uff09\u5b9a\u4e49\u4e3a $${P_\\alpha }\\ &hellip; <a href=\"https:\/\/sqrt-1.me\/?p=127\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">\u201c\u4e0d\u540c\u201c\u8ddd\u79bb\u201d\u6982\u5ff5\u4e0b\u7684\u5355\u4f4d\u5706\u201d<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":"","_links_to":"","_links_to_target":""},"categories":[3],"tags":[],"class_list":["post-127","post","type-post","status-publish","format-standard","hentry","category-math"],"_links":{"self":[{"href":"https:\/\/sqrt-1.me\/index.php?rest_route=\/wp\/v2\/posts\/127","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sqrt-1.me\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sqrt-1.me\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sqrt-1.me\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/sqrt-1.me\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=127"}],"version-history":[{"count":9,"href":"https:\/\/sqrt-1.me\/index.php?rest_route=\/wp\/v2\/posts\/127\/revisions"}],"predecessor-version":[{"id":135,"href":"https:\/\/sqrt-1.me\/index.php?rest_route=\/wp\/v2\/posts\/127\/revisions\/135"}],"wp:attachment":[{"href":"https:\/\/sqrt-1.me\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=127"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sqrt-1.me\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=127"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sqrt-1.me\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=127"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}