点学网

基本不等式

均值定理，又称基本不等式。主要内容为在正实数范围内，若干数的几何平均数不超过他们的算术平均数，且当这些数全部相等时，算术平均数与几何平均数相等。

f(x)与f'(x)之间的奇偶关系

今天来说说$f(x)$与$f'(x)$之间的奇偶性关系，前提是$f(x)$在对称的定义域上可导，下面我们来看几个小结论.

基本文件流程错误 SQL 调试

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CONNECT:[ UseTime:0.002969s ] mysql:host=127.0.0.1;port=3306;dbname=dimhok;charset=utf8
SHOW FULL COLUMNS FROM `edu_coursetype` [ RunTime:0.003646s ]
SELECT * FROM `edu_coursetype` WHERE ( parent=0 ) ORDER BY `listorder` ASC [ RunTime:0.001686s ]
SELECT * FROM `edu_coursetype` WHERE ( parent='1' ) ORDER BY `listorder` ASC [ RunTime:0.000931s ]
SELECT * FROM `edu_coursetype` WHERE ( parent='2' ) ORDER BY `listorder` ASC [ RunTime:0.001131s ]
SHOW FULL COLUMNS FROM `edu_book` [ RunTime:0.001842s ]
SELECT * FROM `edu_book` WHERE `publish_time` >= 1748500271 [ RunTime:0.001182s ]
SHOW FULL COLUMNS FROM `edu_video_course` [ RunTime:0.002372s ]
SELECT * FROM `edu_video_course` WHERE `addtime` >= 1748500271 [ RunTime:0.000945s ]
SHOW FULL COLUMNS FROM `edu_nav` [ RunTime:0.001466s ]
SELECT * FROM `edu_nav` ORDER BY `sort_order` ASC [ RunTime:0.001424s ]
SHOW FULL COLUMNS FROM `edu_article_category` [ RunTime:0.001676s ]
SELECT * FROM `edu_article_category` ORDER BY `sort` ASC [ RunTime:0.000937s ]
SELECT * FROM `edu_article_category` WHERE `pid` = 1 AND `status` = 1 [ RunTime:0.001095s ]
SELECT * FROM `edu_book` ORDER BY rand() LIMIT 3 [ RunTime:0.001450s ]
SHOW FULL COLUMNS FROM `edu_article_tags` [ RunTime:0.001641s ]
SELECT `article_id` FROM `edu_article_tags` WHERE `tag_id` = 2 [ RunTime:0.000771s ]
SHOW FULL COLUMNS FROM `edu_article` [ RunTime:0.001588s ]
SELECT * FROM `edu_article` WHERE `id` IN (4,6) AND `is_draft` = 0 AND `is_open` = '1' ORDER BY `likes` DESC LIMIT 0,10 [ RunTime:0.001663s ]
SHOW FULL COLUMNS FROM `edu_users` [ RunTime:0.002550s ]
SELECT * FROM `edu_users` WHERE `id` = 2 [ RunTime:0.001773s ]
SELECT `edu_article_category`.*,`pivot`.`id` AS `pivot__id`,`pivot`.`article_id` AS `pivot__article_id`,`pivot`.`tag_id` AS `pivot__tag_id` FROM `edu_article_category` INNER JOIN `edu_article_tags` `pivot` ON `pivot`.`tag_id`=`edu_article_category`.`id` WHERE `pivot`.`article_id` IN ('4','6') [ RunTime:0.001109s ]
SHOW FULL COLUMNS FROM `edu_article_comment` [ RunTime:0.001092s ]
SELECT COUNT(*) AS think_count FROM `edu_article_comment` WHERE `article_id` = 4 LIMIT 1 [ RunTime:0.000475s ]
SHOW FULL COLUMNS FROM `edu_article_likes` [ RunTime:0.000743s ]
SELECT * FROM `edu_article_likes` WHERE `article_id` = 4 AND `uid` = 0 LIMIT 1 [ RunTime:0.000580s ]
SELECT COUNT(*) AS think_count FROM `edu_article_comment` WHERE `article_id` = 6 LIMIT 1 [ RunTime:0.000680s ]
SELECT * FROM `edu_article_likes` WHERE `article_id` = 6 AND `uid` = 0 LIMIT 1 [ RunTime:0.000697s ]
SELECT * FROM `edu_article_category` WHERE `pid` = 0 AND `status` = 1 ORDER BY `sort` ASC [ RunTime:0.000798s ]

0.208548s