{"id":683,"date":"2023-10-24T16:56:51","date_gmt":"2023-10-24T08:56:51","guid":{"rendered":"http:\/\/www.forillusion.com\/?p=683"},"modified":"2025-02-14T11:39:18","modified_gmt":"2025-02-14T03:39:18","slug":"math-proof-process-word-list","status":"publish","type":"post","link":"https:\/\/www.forillusion.com\/index.php\/math-proof-process-word-list\/","title":{"rendered":"\u6570\u5b66\u8bc1\u660e\u8fc7\u7a0b\u8bcd\u6c47\u8868"},"content":{"rendered":"\n<p>\u89e3\uff1a<strong>SOLUTION<\/strong>\uff0c\u7b80\u5199 <strong>sol<\/strong><\/p>\n\n\n\n<p>\u8bc1\u660e\uff1a<strong>PROOF<\/strong>\uff0c\u7b80\u5199 <strong>pf<\/strong><\/p>\n\n\n\n<p>\u56e0\u4e3a\uff1a<strong>Since<\/strong><\/p>\n\n\n\n<p>\u6240\u4ee5\uff1a<strong>So<\/strong>\uff0c\u5f53\u524d\u9762\u6709\u4e86\u201c\u56e0\u4e3a\u201d\uff0c\u901a\u5e38\u7701\u7565\u201c\u6240\u4ee5\u201d<\/p>\n\n\n\n<p>\u5373\uff1a<strong>i.e.<\/strong>  \uff0c\u62c9\u4e01\u6587id es\u7684t\u7f29\u5199<\/p>\n\n\n\n<p>\u7531\u6b64\u5f97\u77e5\uff1a<strong>Consequently <\/strong>\u3001 <strong>Therefore <\/strong>\u3001 <strong>Thus <\/strong>\u3001 <strong>Hence<\/strong><\/p>\n\n\n\n<p>\u4f7f\u5f97\uff1a<strong>s.t.<\/strong> \uff0csubject to (such that) \u7684\u7f29\u5199\uff1b<\/p>\n\n\n\n<p>\u5047\u8bbe\uff1a<strong>Suppose<\/strong><\/p>\n\n\n\n<p>\u5f53\u4e14\u4ec5\u5f53\uff1a<strong>If and only if<\/strong> \uff0c\u7f29\u5199 <strong>Iff<\/strong><\/p>\n\n\n\n<p>\u4ee4\uff1a<strong>Let<\/strong><\/p>\n\n\n\n<p>\u540c\u7406\uff1a<strong>Similarly<\/strong><\/p>\n\n\n\n<p>\u6b64\u5916\uff1a<strong>Moreover<\/strong><\/p>\n\n\n\n<p>\u4e14\uff1a<strong>And<\/strong>\uff0c\u4e00\u822c\u8ddf\u5728\u201c\u56e0\u4e3a\u201d\u6216\u201c\u56e0\u6b64\u201d\u540e\u6765\u63a8\u51fa\u7ed3\u8bba\uff1b<\/p>\n\n\n\n<p>\u8fd9\u8868\u660e\uff1a<strong>This implies that \u2026<\/strong><\/p>\n\n\n\n<p>\u7efc\u4e0a\u6240\u8ff0\uff1a<strong>Summarizing<\/strong><\/p>\n\n\n\n<p>\u5f97\u51fa\u2026\u7684\u7ed3\u8bba\uff1a<strong>We conclude that \u2026<\/strong><\/p>\n\n\n\n<p>\u8bc1\u660e\u5b8c\u6bd5\uff1a<strong>Q.E.D.<\/strong> \uff0c\u62c9\u4e01\u8bed quod erat demonstrandum \u7684\u7f29\u5199\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u89e3\uff1aSOLUTION\uff0c\u7b80\u5199 sol \u8bc1\u660e\uff1aPROOF\uff0c\u7b80\u5199 pf \u56e0\u4e3a\uff1aSince \u6240\u4ee5\uff1aSo\uff0c\u5f53\u524d\u9762\u6709\u4e86\u201c\u56e0\u4e3a\u201d\uff0c\u901a\u5e38\u7701\u7565\u201c\u6240\u4ee5 &#8230;<\/p>","protected":false},"author":1,"featured_media":687,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[20],"tags":[21,19],"class_list":["post-683","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-20","tag-21","tag-19"],"_links":{"self":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts\/683","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/comments?post=683"}],"version-history":[{"count":1,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts\/683\/revisions"}],"predecessor-version":[{"id":1765,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts\/683\/revisions\/1765"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/media\/687"}],"wp:attachment":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/media?parent=683"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/categories?post=683"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/tags?post=683"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}