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数学符号∞的意思

2026-05-02 17:24

除和除以有什么区别?为什么?

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CONNECT:[ UseTime:0.002628s ] mysql:host=127.0.0.1;port=3306;dbname=soker_pro;charset=utf8mb4
SHOW FULL COLUMNS FROM `soker_each_city_web` [ RunTime:0.002761s ]
SELECT `id`,`city_id`,`city_name`,`city_directory` FROM `soker_each_city_web` WHERE `old_city_directory` = 'fs' LIMIT 1 [ RunTime:0.002878s ]
SHOW FULL COLUMNS FROM `soker_city` [ RunTime:0.001485s ]
SELECT `id`,`city_name`,`city_pid`,`city_directory` FROM `soker_city` WHERE `city_directory` = 'fs' AND `isTrue` = 1 AND `isShow` = 1 AND `isDelete` = 0 LIMIT 1 [ RunTime:0.001081s ]
SHOW FULL COLUMNS FROM `soker_school_campus` [ RunTime:0.001496s ]
SELECT b.`id`,b.`area_name` FROM `soker_school_campus` `a` LEFT JOIN `soker_city_area` `b` ON a.`campus_areaid`=b.`id` WHERE `a`.`campus_status` = '1' AND `a`.`campus_isdelete` = '0' AND `b`.`area_pid` = '199' AND `b`.`area_isDelete` = '0' GROUP BY `b`.`id` ORDER BY `b`.`orderid` ASC,`b`.`id` DESC [ RunTime:0.065535s ]
SHOW FULL COLUMNS FROM `soker_category` [ RunTime:0.024553s ]
SELECT `id`,`cat_name`,`cat_parentid`,`cat_secondid` FROM `soker_category` WHERE `cat_directory` = 'sxfd' AND `isTrue` = 1 AND `isDelete` = 0 LIMIT 1 [ RunTime:0.000386s ]
SHOW FULL COLUMNS FROM `soker_school_campus_course` [ RunTime:0.001363s ]
SELECT COUNT(*) AS think_count FROM ( SELECT count(*) AS think_count FROM `soker_school_campus_course` `a` LEFT JOIN `soker_school_materials` `b` ON a.`course_id`=b.`id` LEFT JOIN `soker_school_campus` `c` ON a.`campus_id`=c.`id` LEFT JOIN `soker_school` `d` ON a.`school_id`=d.`id` WHERE ( `a`.`course_status` = '1' AND `b`.`material_isdelete` = '0' AND `a`.`provinid` = '19' AND `a`.`cityid` = '199' AND `c`.`campus_status` = '1' AND `c`.`campus_isdelete` = '0' AND `d`.`isDelete` = '0' AND `a`.`catid_one` = '86' ) GROUP BY `b`.`id` ) `_group_count_` LIMIT 1 [ RunTime:0.079792s ]
SELECT b.`id`,b.`material_title`,b.`material_images`,b.`material_introduction`,b.`material_classTime`,b.`material_price`,b.`material_createTime`,b.`material_orderTime`,a.`catid_three`,a.`campus_id`,a.`school_id`,d.`school_name`,d.`school_logo` FROM `soker_school_campus_course` `a` LEFT JOIN `soker_school_materials` `b` ON a.`course_id`=b.`id` LEFT JOIN `soker_school_campus` `c` ON a.`campus_id`=c.`id` LEFT JOIN `soker_school` `d` ON a.`school_id`=d.`id` WHERE ( `a`.`course_status` = '1' AND `b`.`material_isdelete` = '0' AND `a`.`provinid` = '19' AND `a`.`cityid` = '199' AND `c`.`campus_status` = '1' AND `c`.`campus_isdelete` = '0' AND `d`.`isDelete` = '0' AND `a`.`catid_one` = '86' ) GROUP BY `b`.`id` ORDER BY `b`.`material_orderTime` DESC,`b`.`material_orderid` ASC,`b`.`id` DESC LIMIT 20,10 [ RunTime:0.089829s ]
SELECT `id`,`cat_name`,`cat_directory` FROM `soker_category` WHERE `id` = 106 LIMIT 1 [ RunTime:0.000313s ]
SELECT COUNT(DISTINCT `campus_id`) AS think_count FROM `soker_school_campus_course` WHERE `course_id` = 13572 AND `course_status` = 1 LIMIT 1 [ RunTime:0.000829s ]
SHOW FULL COLUMNS FROM `soker_school_course_score` [ RunTime:0.001111s ]
SELECT COUNT(id) AS `num`, AVG(score) AS `score` FROM `soker_school_course_score` WHERE `school_id` = 121 LIMIT 1 [ RunTime:0.000311s ]
SELECT `id`,`cat_name`,`cat_directory` FROM `soker_category` WHERE `id` = 124 LIMIT 1 [ RunTime:0.000257s ]
SELECT COUNT(DISTINCT `campus_id`) AS think_count FROM `soker_school_campus_course` WHERE `course_id` = 13311 AND `course_status` = 1 LIMIT 1 [ RunTime:0.000766s ]
SELECT COUNT(id) AS `num`, AVG(score) AS `score` FROM `soker_school_course_score` WHERE `school_id` = 121 LIMIT 1 [ RunTime:0.000280s ]
SELECT `id`,`cat_name`,`cat_directory` FROM `soker_category` WHERE `id` = 124 LIMIT 1 [ RunTime:0.000260s ]
SELECT COUNT(DISTINCT `campus_id`) AS think_count FROM `soker_school_campus_course` WHERE `course_id` = 13254 AND `course_status` = 1 LIMIT 1 [ RunTime:0.000810s ]
SELECT COUNT(id) AS `num`, AVG(score) AS `score` FROM `soker_school_course_score` WHERE `school_id` = 121 LIMIT 1 [ RunTime:0.000316s ]
SELECT `id`,`cat_name`,`cat_directory` FROM `soker_category` WHERE `id` = 93 LIMIT 1 [ RunTime:0.000297s ]
SELECT COUNT(DISTINCT `campus_id`) AS think_count FROM `soker_school_campus_course` WHERE `course_id` = 13251 AND `course_status` = 1 LIMIT 1 [ RunTime:0.000780s ]
SELECT COUNT(id) AS `num`, AVG(score) AS `score` FROM `soker_school_course_score` WHERE `school_id` = 121 LIMIT 1 [ RunTime:0.000307s ]
SELECT `id`,`cat_name`,`cat_directory` FROM `soker_category` WHERE `id` = 93 LIMIT 1 [ RunTime:0.000281s ]
SELECT COUNT(DISTINCT `campus_id`) AS think_count FROM `soker_school_campus_course` WHERE `course_id` = 13249 AND `course_status` = 1 LIMIT 1 [ RunTime:0.000780s ]
SELECT COUNT(id) AS `num`, AVG(score) AS `score` FROM `soker_school_course_score` WHERE `school_id` = 121 LIMIT 1 [ RunTime:0.000289s ]
SELECT `id`,`cat_name`,`cat_directory` FROM `soker_category` WHERE `id` = 124 LIMIT 1 [ RunTime:0.000260s ]
SELECT COUNT(DISTINCT `campus_id`) AS think_count FROM `soker_school_campus_course` WHERE `course_id` = 13179 AND `course_status` = 1 LIMIT 1 [ RunTime:0.000741s ]
SELECT COUNT(id) AS `num`, AVG(score) AS `score` FROM `soker_school_course_score` WHERE `school_id` = 121 LIMIT 1 [ RunTime:0.000298s ]
SELECT `id`,`cat_name`,`cat_directory` FROM `soker_category` WHERE `id` = 118 LIMIT 1 [ RunTime:0.000322s ]
SELECT COUNT(DISTINCT `campus_id`) AS think_count FROM `soker_school_campus_course` WHERE `course_id` = 4712 AND `course_status` = 1 LIMIT 1 [ RunTime:0.000494s ]
SELECT COUNT(id) AS `num`, AVG(score) AS `score` FROM `soker_school_course_score` WHERE `school_id` = 448 LIMIT 1 [ RunTime:0.001687s ]
SELECT `id`,`city_name`,`city_directory` FROM `soker_city` WHERE `city_directory` = 'fs' LIMIT 1 [ RunTime:0.007884s ]
SELECT `id`,`cat_name`,`cat_directory` FROM `soker_category` WHERE `cat_directory` = 'sxfd' LIMIT 1 [ RunTime:0.000240s ]
SHOW FULL COLUMNS FROM `soker_each_category_cms` [ RunTime:0.001141s ]
SELECT `id`,`cms_id`,`cms_name`,`typeid`,`data_id`,`data_name` FROM `soker_each_category_cms` WHERE `data_id` = 86 LIMIT 1 [ RunTime:0.000316s ]
SHOW FULL COLUMNS FROM `soker_each_city_cms` [ RunTime:0.001106s ]
SELECT `id`,`cms_id`,`cms_name`,`cms_code`,`cms_pid`,`typeid`,`data_id`,`data_name` FROM `soker_each_city_cms` WHERE `data_id` = 199 AND `typeid` = 2 LIMIT 1 [ RunTime:0.000537s ]
SELECT COUNT(*) AS think_count FROM ( SELECT count(*) AS think_count FROM `soker_school_course_score` `a` LEFT JOIN `soker_school_campus` `b` ON a.`campus_id`=b.`id` LEFT JOIN `soker_school_materials` `c` ON a.`comment_id`=c.`id` WHERE ( `b`.`campus_cityid` = '199' AND `b`.`campus_isdelete` = '0' AND `b`.`campus_status` = '1' AND `c`.`material_isdelete` = '0' ) GROUP BY `c`.`id` ) `_group_count_` LIMIT 1 [ RunTime:0.072208s ]
SELECT c.`id`, c.`material_title`, c.`material_images`, c.`material_introduction`, REPLACE(json_extract(c.`material_content`, '$.comments_mobile'), '"', '') AS `material_mobile`, c.`material_content`, c.`material_orderTime`, c.`material_createTime` FROM `soker_school_course_score` `a` LEFT JOIN `soker_school_campus` `b` ON a.`campus_id`=b.`id` LEFT JOIN `soker_school_materials` `c` ON a.`comment_id`=c.`id` WHERE ( `b`.`campus_cityid` = '199' AND `b`.`campus_isdelete` = '0' AND `b`.`campus_status` = '1' AND `c`.`material_isdelete` = '0' ) GROUP BY `c`.`id` ORDER BY `c`.`material_orderTime` DESC,`c`.`material_orderid` ASC,`c`.`id` DESC LIMIT 6,3 [ RunTime:0.050085s ]
SELECT `id`,`cat_name`,`cat_parentid`,`cat_secondid` FROM `soker_category` WHERE `cat_directory` = 'sxfd' AND `isTrue` = 1 AND `isDelete` = 0 LIMIT 1 [ RunTime:0.000354s ]
SHOW FULL COLUMNS FROM `soker_system_content` [ RunTime:0.001521s ]
SELECT `id`,`con_title`,`con_images`,`con_introduction`,`con_createTime`,`con_orderTime` FROM `soker_system_content` WHERE ( `con_type` = 7 AND `con_isDelete` = 0 AND `catid_one` = 86 ) ORDER BY `con_orderTime` DESC,`con_orderid` ASC,`id` DESC LIMIT 3 [ RunTime:0.053112s ]
SELECT `invitation_box`,`invitation_box_wap`,`invitation_box_click`,`seo_title`,`seo_keywords`,`seo_description` FROM `soker_city` WHERE `id` = 199 LIMIT 1 [ RunTime:0.000352s ]
SELECT `id`,`cat_name`,`cat_directory`,`seo_title`,`seo_keywords`,`seo_description`,`invitation_box`,`invitation_box_click` FROM `soker_category` WHERE `cat_directory` = 'sxfd' LIMIT 1 [ RunTime:0.000329s ]
SELECT `id`,`cat_name`,`cat_directory`,`seo_title`,`seo_keywords`,`seo_description`,`invitation_box`,`invitation_box_click` FROM `soker_category` WHERE `cat_directory` = 'sxfd' LIMIT 1 [ RunTime:0.000346s ]

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