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文章燃起求知之魂

信息时代，互联网的发展为我们提供了无数个包罗万象的站点，而站点之间的流量争夺，又将我们的时间和注意力切割得支离破碎。这是一个最好的时代，任何人都可以凭借一台手机，自由地触及人类目前能探索到的所有“知识”；这也是一个最坏的时代，浮皮潦草的“知...

公告站务

赞同3  1101浏览  0评论 王元博 2022-06-05 11:54

文章测试一些符号

$$A \to BA \hookrightarrow BA \twoheadrightarrow BA \dashedrightarrow B$$

数学学习

赞同0  3404浏览  3评论 Giacomo 2022-06-18 19:59

文章悟理wuphys新增中文域名“悟理.中国”

悟理wuphys新增中文域名“悟理.中国”后续各位朋友可以用悟理.中国或 http://www.悟理.中国访问。网址会301转向到 http://www.wuphys.com

公告站务

赞同1  1085浏览  0评论 林威 2022-05-13 20:41

文章伽利略逝世的那年牛顿诞生，真的是这样吗？

历法

赞同3  1084浏览  0评论 traderjoes 2022-05-17 01:55

长尾科技 发起了提问 2022-06-07 10:29 相对论: 问答如何看待长尾科技的《你也能懂的质能方程E=mc²》？

长尾科技科技关于质能方程的文章：《你也能懂的质能方程E=mc²》（2.1万字）此问题隶属于更高层级的问题《相对论的【学习路径图】是什么样的？如何系统地学习相对论？》，属于相对论学习路径图的一部分。大家可以在这里讨论这两篇文章的相关内容，也可以去更高层级的问题讨论相对论的学习路径图。上层链接：相对论的...; 关注问题 1 0人感谢 0评论

文章《人类司机》- 第四部分：未来篇

本文由 @林威（我的朋友）/ UnknownID（我自己）合写而成，为长篇科幻。本文分为四个部分：地面篇，UAM篇，宇航篇，未来篇。本文最初灵感与初版大纲，以及地面篇（全部）和UAM篇（绝大部分）的作...

人类司机 科幻

赞同1  958浏览  0评论 无名_unknownID 2022-05-28 19:08

文章光学知识—谁是法布里和珀罗

谁是法布里和珀罗？写在前面的话法布里–珀罗干涉仪在光学中用处非常之广。本文译自Joseph F. Mulligan所撰写的Who were Fabry and Pérot?一文，文章发表在American Journal of Physic...

光学物理

赞同2  1410浏览  0评论 redcrag 2022-06-06 00:01

zhu 发起了提问 2022-06-07 19:27 物理: 问答土星有固体核心吗？

土星有固体核心吗？有什么证据？; 关注问题 1 0人感谢 0评论

文章普朗克尺度和普朗克时间

1. 引言1899年，德国物理学家、量子理论的开山鼻祖马克斯·普朗克 (Max Planck) 提出了一套特殊的单位制。他试图通过三个我们宇宙中的基本物理学常数：光速，约化普朗克常数和牛顿引力常数来构建长度、时间、质量、能量等基本...

量子力学 物理

赞同4  1401浏览  0评论 yubr 2022-05-18 00:26

戴为 回复了问题 2022-05-29 11:40 电子学 实验技术 量子力学: 问答微波和光学（可见光频）技术在量子光学实验中各有什么优劣？

戴为 :我本人是做微波的，姑且从我自己所了解的角度来说一说我自己目前对这个问题的答案。微波一般指波长在1 mm - 1 m之间的电磁波，对应频率300 MHz - 300 GHz。但今天我们谈论的微波电路一般比较适合20 GHz以下（波长cm以上）的微波信号，对于“毫米波”通常需要专门的技术。微波电路与直流...; 赞同4 反对 1人感谢 0评论 1回复

无名_unknownID 发起了提问 2022-06-07 20:38 内燃机 飞机 航空器: 问答飞机的引擎是怎么启动的？

IPU和RAT到底是啥？; 关注问题 1 0人感谢 0评论

文章光学前沿—驾驭太赫兹空隙

写在前面的话本文译自Sidney Perkowitz所撰写的Navigating the terahertz gap一文，文章发表在Physics World, 2020, 33(3):37–40上。翻译目的为分享知识，欢迎指正。如有侵权...

光学物理

赞同0  1316浏览  0评论 redcrag 2022-06-06 00:03

文章卷首语：学习路上的合作者，欢迎你！

“学习一个东西最好的方法就是教会别人。”悟理wuphys是一个以此为核心理念的学习社区。在这里，“三人行必有我师”是大家都认同的道理，“好为人师”是受推崇的品质——我们愿意成为彼此的老师，更愿意成为自己的老师。如果你对于自己正在学习的某个主...

公告站务

赞同10  1194浏览  4评论 戴为 2022-05-30 11:00

长尾科技 发起了提问 2022-06-07 11:16 相对论: 问答如何看待布莱恩·格林的《宇宙的结构》？

布莱恩·格林的《宇宙的结构》是一本包罗万象的科普书，里面最开始部分也会科普一些相对论和量子力学的知识。此问题隶属于更高层级的问题《相对论的【学习路径图】是什么样的？如何系统地学习相对论？》，属于相对论学习路径图的一部分。大家可以在这里讨论这两篇文章的相关内容，也可以去更高层级的问题讨论相对论的学习路...; 关注问题 1 0人感谢 0评论

Giacomo 回复了问题 2022-05-23 19:58 物理: 问答广义相对论里曲率张量该如何理解？

Giacomo :有一个概念叫截面曲率（sectional curvature），是说在黎曼流形里面一点截取一个二维的子切空间，对应一个实数。这个概念是经典微分几何里面的高斯曲率的拓展; 赞同5 反对 0人感谢 0评论 1回复

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CONNECT:[ UseTime:0.000405s ] mysql:host=127.0.0.1;port=3306;dbname=wuphysthink;charset=utf8mb4
SHOW FULL COLUMNS FROM `aws_hook_plugins` [ RunTime:0.000540s ]
SELECT `hook`,`plugins` FROM `aws_hook_plugins` WHERE `status` = 1 ORDER BY `sort` DESC [ RunTime:0.000335s ]
SHOW FULL COLUMNS FROM `aws_config` [ RunTime:0.000554s ]
SELECT * FROM `aws_config` [ RunTime:0.000519s ]
SHOW FULL COLUMNS FROM `aws_forbidden_ip` [ RunTime:0.000598s ]
SELECT `ip` FROM `aws_forbidden_ip` [ RunTime:0.000225s ]
SHOW FULL COLUMNS FROM `aws_admin_group` [ RunTime:0.000483s ]
SELECT `permission` FROM `aws_admin_group` WHERE `id` = 5 LIMIT 1 [ RunTime:0.000266s ]
SHOW FULL COLUMNS FROM `aws_users_online` [ RunTime:0.000610s ]
DELETE FROM `aws_users_online` WHERE `last_login_time` < 1775156720 [ RunTime:0.003608s ]
SHOW FULL COLUMNS FROM `aws_menu_rule` [ RunTime:0.000698s ]
SELECT * FROM `aws_menu_rule` WHERE `status` = 1 AND `group` = 'nav' ORDER BY `sort` ASC,`id` ASC [ RunTime:0.000478s ]
SELECT * FROM `aws_menu_rule` WHERE `status` = 1 AND `group` = 'footer' ORDER BY `sort` ASC,`id` ASC [ RunTime:0.000474s ]
SHOW FULL COLUMNS FROM `aws_links` [ RunTime:0.000641s ]
SELECT * FROM `aws_links` WHERE `status` = 1 [ RunTime:0.000360s ]
SHOW FULL COLUMNS FROM `aws_post_relation` [ RunTime:0.000702s ]
SELECT COUNT(*) AS think_count FROM `aws_post_relation` WHERE `item_type` IN ('question','article','') LIMIT 1 [ RunTime:0.000482s ]
SELECT `id`,`item_id`,`item_type`,`uid` FROM `aws_post_relation` WHERE `item_type` IN ('question','article','') ORDER BY RAND(),`is_recommend` DESC LIMIT 60,15 [ RunTime:0.000613s ]
SHOW FULL COLUMNS FROM `aws_question` [ RunTime:0.000827s ]
SELECT `last_answer` FROM `aws_question` WHERE `id` IN (23,32,13,33,25,9) AND `status` = 1 [ RunTime:0.000441s ]
SHOW FULL COLUMNS FROM `aws_answer` [ RunTime:0.000720s ]
SELECT * FROM `aws_answer` WHERE `status` = 1 AND `id` IN (12,20,0) [ RunTime:0.000521s ]
SHOW FULL COLUMNS FROM `aws_topic_relation` [ RunTime:0.000589s ]
SELECT `topic_id`,`item_type`,`item_id` FROM `aws_topic_relation` WHERE `item_id` IN (23,32,13,33,25,9) AND `item_type` = 'question' [ RunTime:0.000535s ]
SHOW FULL COLUMNS FROM `aws_topic` [ RunTime:0.000651s ]
SELECT * FROM `aws_topic` WHERE `id` IN (2,63,64,20,18,83,84,85) [ RunTime:0.000522s ]
SELECT * FROM `aws_question` WHERE `status` = 1 AND `id` IN (23,32,13,33,25,9) [ RunTime:0.013590s ]
SELECT `topic_id`,`item_type`,`item_id` FROM `aws_topic_relation` WHERE `item_id` IN (63,81,6,24,50,68,27,69,56) AND `item_type` = 'article' [ RunTime:0.000791s ]
SELECT * FROM `aws_topic` WHERE `id` IN (16,5,38,20,2,65,57,80,82) [ RunTime:0.000536s ]
SHOW FULL COLUMNS FROM `aws_article` [ RunTime:0.000811s ]
SELECT * FROM `aws_article` WHERE `status` = 1 AND `id` IN (63,81,6,24,50,68,27,69,56) [ RunTime:0.002936s ]
SHOW FULL COLUMNS FROM `aws_users` [ RunTime:0.011198s ]
SELECT `uid`,`nick_name`,`user_name`,`salt`,`email`,`mobile`,`sex`,`is_first_login`,`inbox_unread`,`notify_unread`,`fans_count`,`friend_count`,`available_invite_count`,`is_valid_email`,`is_valid_mobile`,`integral`,`reputation`,`reputation_update_time`,`avatar`,`signature`,`verified`,`group_id`,`integral_group_id`,`reputation_group_id`,`last_login_time`,`last_login_ip`,`reg_ip`,`money`,`frozen_money`,`deal_password`,`birthday`,`url_token`,`views_count`,`agree_count`,`question_count`,`answer_count`,`article_count`,`draft_count`,`topic_focus_count`,`column_count`,`extend`,`status`,`theme`,`create_time`,`update_time` FROM `aws_users` WHERE `status` = 1 AND `uid` IN (15,35,1,9,5,90,56,42,55,17) [ RunTime:0.000781s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 1 LIMIT 1 [ RunTime:0.000341s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 1 LIMIT 1 [ RunTime:0.000320s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 5 LIMIT 1 [ RunTime:0.000305s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 5 LIMIT 1 [ RunTime:0.000305s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 9 LIMIT 1 [ RunTime:0.000347s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 9 LIMIT 1 [ RunTime:0.000327s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 15 LIMIT 1 [ RunTime:0.000331s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 15 LIMIT 1 [ RunTime:0.000338s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 17 LIMIT 1 [ RunTime:0.000331s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 17 LIMIT 1 [ RunTime:0.009940s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 35 LIMIT 1 [ RunTime:0.009836s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 35 LIMIT 1 [ RunTime:0.000317s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 42 LIMIT 1 [ RunTime:0.000320s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 42 LIMIT 1 [ RunTime:0.000340s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 55 LIMIT 1 [ RunTime:0.000327s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 55 LIMIT 1 [ RunTime:0.000303s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 56 LIMIT 1 [ RunTime:0.000347s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 56 LIMIT 1 [ RunTime:0.000321s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 90 LIMIT 1 [ RunTime:0.009944s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 90 LIMIT 1 [ RunTime:0.000332s ]
SHOW FULL COLUMNS FROM `aws_article_vote` [ RunTime:0.000649s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 63 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000389s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 81 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000396s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 6 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000369s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 24 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000372s ]
SHOW FULL COLUMNS FROM `aws_question_vote` [ RunTime:0.000646s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 23 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000378s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 50 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.010136s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 68 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000380s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 32 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000388s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 27 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000413s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 20 AND `item_type` = 'answer' LIMIT 1 [ RunTime:0.000446s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 13 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000339s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 33 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000362s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 69 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000363s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 56 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000367s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 25 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000349s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 12 AND `item_type` = 'answer' LIMIT 1 [ RunTime:0.000367s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 9 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000373s ]
SHOW FULL COLUMNS FROM `aws_announce` [ RunTime:0.010383s ]
SELECT * FROM `aws_announce` WHERE `status` = 1 ORDER BY `set_top_time` DESC,`sort` DESC LIMIT 0,3 [ RunTime:0.000457s ]
SELECT COUNT(*) AS think_count FROM `aws_topic` WHERE `status` = 1 AND `discuss_month` > 0 LIMIT 1 [ RunTime:0.000570s ]
SELECT * FROM `aws_topic` WHERE `status` = 1 AND `discuss_month` > 0 ORDER BY RAND(),`top` DESC,`focus` DESC,`discuss_month` DESC LIMIT 0,5 [ RunTime:0.001030s ]
SHOW FULL COLUMNS FROM `aws_topic_focus` [ RunTime:0.000730s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 29 LIMIT 1 [ RunTime:0.000367s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 59 LIMIT 1 [ RunTime:0.000319s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 5 LIMIT 1 [ RunTime:0.000342s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 69 LIMIT 1 [ RunTime:0.000326s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 40 LIMIT 1 [ RunTime:0.000336s ]
SHOW FULL COLUMNS FROM `aws_column` [ RunTime:0.000682s ]
SELECT * FROM `aws_column` WHERE `verify` = 1 ORDER BY RAND(),`view_count` DESC LIMIT 0,5 [ RunTime:0.000631s ]
SELECT * FROM `aws_users` WHERE `uid` <> 0 AND `status` = 1 AND `reputation` > 0 ORDER BY RAND(),`reputation` DESC,`answer_count` DESC LIMIT 5 [ RunTime:0.030150s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 44 LIMIT 1 [ RunTime:0.000336s ]
SHOW FULL COLUMNS FROM `aws_users_follow` [ RunTime:0.000554s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 44 LIMIT 1 [ RunTime:0.000329s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 33 LIMIT 1 [ RunTime:0.000282s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 33 LIMIT 1 [ RunTime:0.000303s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 36 LIMIT 1 [ RunTime:0.000278s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 36 LIMIT 1 [ RunTime:0.000302s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 15 LIMIT 1 [ RunTime:0.000320s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 32 LIMIT 1 [ RunTime:0.000296s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 32 LIMIT 1 [ RunTime:0.000313s ]

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