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。

求和符号∑的性质与应用

∑ 是一个求和符号，英语名称：Sigma，汉语名称：西格玛（大写Σ，小写σ）

基本文件流程错误 SQL 调试

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CONNECT:[ UseTime:0.001518s ] mysql:host=127.0.0.1;port=3306;dbname=dimhok;charset=utf8
SHOW FULL COLUMNS FROM `edu_coursetype` [ RunTime:0.001965s ]
SELECT * FROM `edu_coursetype` WHERE ( parent=0 ) ORDER BY `listorder` ASC [ RunTime:0.001056s ]
SELECT * FROM `edu_coursetype` WHERE ( parent='1' ) ORDER BY `listorder` ASC [ RunTime:0.000735s ]
SELECT * FROM `edu_coursetype` WHERE ( parent='2' ) ORDER BY `listorder` ASC [ RunTime:0.000860s ]
SHOW FULL COLUMNS FROM `edu_book` [ RunTime:0.001317s ]
SELECT * FROM `edu_book` WHERE `publish_time` >= 1748496104 [ RunTime:0.000983s ]
SHOW FULL COLUMNS FROM `edu_video_course` [ RunTime:0.001639s ]
SELECT * FROM `edu_video_course` WHERE `addtime` >= 1748496104 [ RunTime:0.000961s ]
SHOW FULL COLUMNS FROM `edu_nav` [ RunTime:0.001043s ]
SELECT * FROM `edu_nav` ORDER BY `sort_order` ASC [ RunTime:0.000827s ]
SHOW FULL COLUMNS FROM `edu_article_category` [ RunTime:0.001222s ]
SELECT * FROM `edu_article_category` ORDER BY `sort` ASC [ RunTime:0.000794s ]
SELECT * FROM `edu_article_category` WHERE `pid` = 1 AND `status` = 1 [ RunTime:0.001009s ]
SELECT * FROM `edu_book` ORDER BY rand() LIMIT 3 [ RunTime:0.001458s ]
SHOW FULL COLUMNS FROM `edu_article_tags` [ RunTime:0.001066s ]
SELECT `article_id` FROM `edu_article_tags` WHERE `tag_id` = 6 [ RunTime:0.000720s ]
SHOW FULL COLUMNS FROM `edu_article` [ RunTime:0.001493s ]
SELECT * FROM `edu_article` WHERE `id` IN (4,5) AND `is_draft` = 0 AND `is_open` = '1' ORDER BY `likes` DESC LIMIT 0,10 [ RunTime:0.001185s ]
SHOW FULL COLUMNS FROM `edu_users` [ RunTime:0.001803s ]
SELECT * FROM `edu_users` WHERE `id` = 2 [ RunTime:0.001165s ]
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','5') [ RunTime:0.001031s ]
SHOW FULL COLUMNS FROM `edu_article_comment` [ RunTime:0.001465s ]
SELECT COUNT(*) AS think_count FROM `edu_article_comment` WHERE `article_id` = 4 LIMIT 1 [ RunTime:0.000652s ]
SHOW FULL COLUMNS FROM `edu_article_likes` [ RunTime:0.001081s ]
SELECT * FROM `edu_article_likes` WHERE `article_id` = 4 AND `uid` = 0 LIMIT 1 [ RunTime:0.000893s ]
SELECT COUNT(*) AS think_count FROM `edu_article_comment` WHERE `article_id` = 5 LIMIT 1 [ RunTime:0.000556s ]
SELECT * FROM `edu_article_likes` WHERE `article_id` = 5 AND `uid` = 0 LIMIT 1 [ RunTime:0.000946s ]
SELECT * FROM `edu_article_category` WHERE `pid` = 0 AND `status` = 1 ORDER BY `sort` ASC [ RunTime:0.000926s ]

0.174069s