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林威 回复了问题 2022-05-13 19:15 站务: 问答请问：网站的专栏和话题有什么不同？

林威 :其实，在悟理wuphys中，“专栏”和“话题”两个名词概念，和当前网络上通俗的概念是相同的。话题就相当于“标签”，每个问题、文章在发起时，都必须添加话题。话题可以是已经有的老话题，也可以由发起者自行添加新话题。回答是依附于问题的，因此回答不能添加话题。有了话题，每个问题或文章，就有了一个比较宽泛的标...; 赞同1 反对 0人感谢 0评论 1回复

在上一篇文章《最美的公式：你也能懂的麦克斯韦方程组（积分篇）》里，长尾科技带着大家从零开始一步一步认识了麦克斯韦方程组的积分形式，这篇文章我们就来看看它的微分形式。在积分篇里，我们一直在跟电场、磁场的通量打交道。我们任意画一个曲面，这个曲面...

电动力学 狭义相对论 麦克斯韦方程组

赞同0  1117浏览  0评论 长尾科技 2022-05-16 17:24

文章测试一些符号

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

数学学习

赞同0  2979浏览  3评论 Giacomo 2022-06-18 19:59

文章光学前沿—OAM光通讯

写在前面的话本文译自Alan Eli Willner所撰写的OAM Light for Communications一文，文章发表在Optics & Photonics News, 2021, 32(6):34–42上。翻译目的为...

光学物理

赞同0  1538浏览  0评论 redcrag 2022-06-05 23:59

文章有史以来最伟大的方程

有史以来最伟大的方程写在前面的话本文译自Robert P Crease所撰写的The greatest equations ever一文，发表在Physics World, 2004, 17(10):14–15上，为同年5月份作者请读者为...

物理

赞同2  1030浏览  0评论 redcrag 2022-06-06 00:08

文章为什么微型黑洞可以作为能量源？

（文章为我原创，封面来自生活大爆炸）在目前的理论体系之下，人类可以应用的最强能量源是什么？核聚变？对于“最强”来说，他不太够。从能层提取克尔黑洞（旋转黑洞）的角动量？有那么点意思了，但他还不是最强的...

霍金辐射 量子力学

赞同0  917浏览  0评论 无名_unknownID 2022-05-27 23:11

文章光学前沿—可调超构表面

写在前面的话本文译自Soham Saha, Deesha Shah, Vladimir M. Shalaev和Alexandra Boltasseva所撰写的Tunable Metasurfaces: Controlling Light i...

光学物理

赞同0  1336浏览  0评论 redcrag 2022-06-05 23:55

文章四维形式的狭义相对论及其动力学

作者|yubr编辑|Trader Joe's在前一章《闵氏空间和洛伦兹变换》中我们已经介绍了闵氏几何和四维语言，在本章中我们将使用前一章介绍的四维语言来描述狭义相对论及其动力学。固有时（proper time）假设给定两个事件，我们...

狭义相对论 相对论

赞同3  1052浏览  0评论 yubr 2022-05-24 23:09

文章如何邀请志同道合的朋友注册

如果您已经是悟理正式用户。PC端的方法最简单，在平台顶部，登录后就会出现“邀请”的按钮，点击后，把需要邀请的邮箱填入邀请框中即可。手机端，需要点击右上角的人头按钮，然后在左侧弹出的列表中，点击“邀请”。剩下的操作一样。最后，友情提示，每个用...

站务

赞同2  1176浏览  0评论 林威 2022-05-09 00:46

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

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

文章闵氏空间和洛伦兹变换

作者：yubr编辑：Trader Joe's四维闵可夫斯基时空我们在本科阶段接触的经典力学和经典电动力学里的物理规律，都是以三维矢量方程的形式描述的。无论是牛顿运动定律，还是麦克斯韦方程组，其基本的物理对象都是三维欧式空间的矢量（例...

洛伦兹变换 闵氏空间

赞同1  1110浏览  0评论 yubr 2022-05-24 23:00

文章科学哲学入门

我们准备探讨科学哲学的基础命题，世界观、真理、事实、推理、可证伪性以及工具主义和现实主义。（华南师范大学本科生）1 世界观世界观没有标准定义，但我们可以这样描述它：“世界观”是一个观点体系，其中不同观点如同拼图的一块块拼板一样相互联结。也就...

科学哲学

赞同1  1086浏览  0评论 Xiey 2022-05-22 23:40

一块石头 回复了问题 2022-05-30 19:01 原位拉曼测试: 问答拉曼光谱信号峰归属

一块石头 :拉曼作为一种重要的光谱学表征手段，表征的是分子的振动，所以我们可以用来研究化学键的信息。和拉曼光谱同属于振动光谱的还有红外光谱，对于一个给定的化学键，其红外吸收频率与拉曼位移相等，区别是红外属于吸收光谱，所以对具有偶极变化的振动模式更具有活性，而拉曼反之。所以拉曼和红外是互补的手段，在拉曼实验中出现...; 赞同5 反对 1人感谢 0评论 1回复

一块石头 回复了问题 2022-05-17 20:02 化学: 问答如何理解pH或者酸碱值？

一块石头 :我们熟知的酸碱理论有丹麦化学家Brønsted和英国化学家Lowry各自独立提出的酸碱质子理论，和和美国化学家Lewis提出的酸碱电子理论，人们也称之为狭义酸碱理论和广义酸碱理论。酸碱质子理论认为：凡是可以释放质子（氢离子）的分子或离子为酸（ Brønsted 酸），凡是能接受氢离子的分子或离子则...; 赞同5 反对 1人感谢 0评论 1回复

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CONNECT:[ UseTime:0.000421s ] mysql:host=127.0.0.1;port=3306;dbname=wuphysthink;charset=utf8mb4
SHOW FULL COLUMNS FROM `aws_hook_plugins` [ RunTime:0.000788s ]
SELECT `hook`,`plugins` FROM `aws_hook_plugins` WHERE `status` = 1 ORDER BY `sort` DESC [ RunTime:0.000448s ]
SHOW FULL COLUMNS FROM `aws_config` [ RunTime:0.000668s ]
SELECT * FROM `aws_config` [ RunTime:0.000644s ]
SHOW FULL COLUMNS FROM `aws_forbidden_ip` [ RunTime:0.000590s ]
SELECT `ip` FROM `aws_forbidden_ip` [ RunTime:0.000259s ]
SHOW FULL COLUMNS FROM `aws_admin_group` [ RunTime:0.000572s ]
SELECT `permission` FROM `aws_admin_group` WHERE `id` = 5 LIMIT 1 [ RunTime:0.000323s ]
SHOW FULL COLUMNS FROM `aws_users_online` [ RunTime:0.000631s ]
DELETE FROM `aws_users_online` WHERE `last_login_time` < 1765003034 [ RunTime:0.007944s ]
SHOW FULL COLUMNS FROM `aws_menu_rule` [ RunTime:0.000659s ]
SELECT * FROM `aws_menu_rule` WHERE `status` = 1 AND `group` = 'nav' ORDER BY `sort` ASC,`id` ASC [ RunTime:0.000418s ]
SELECT * FROM `aws_menu_rule` WHERE `status` = 1 AND `group` = 'footer' ORDER BY `sort` ASC,`id` ASC [ RunTime:0.000547s ]
SHOW FULL COLUMNS FROM `aws_links` [ RunTime:0.000642s ]
SELECT * FROM `aws_links` WHERE `status` = 1 [ RunTime:0.000306s ]
SHOW FULL COLUMNS FROM `aws_post_relation` [ RunTime:0.000641s ]
SELECT COUNT(*) AS think_count FROM `aws_post_relation` WHERE `item_type` IN ('question','article','') LIMIT 1 [ RunTime:0.000414s ]
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:0.000483s ]
SHOW FULL COLUMNS FROM `aws_question` [ RunTime:0.000796s ]
SELECT `last_answer` FROM `aws_question` WHERE `id` IN (6,33,32,14,7) AND `status` = 1 [ RunTime:0.000400s ]
SHOW FULL COLUMNS FROM `aws_answer` [ RunTime:0.000635s ]
SELECT * FROM `aws_answer` WHERE `status` = 1 AND `id` IN (5,7,21,0) [ RunTime:0.000500s ]
SHOW FULL COLUMNS FROM `aws_topic_relation` [ RunTime:0.000522s ]
SELECT `topic_id`,`item_type`,`item_id` FROM `aws_topic_relation` WHERE `item_id` IN (6,33,32,14,7) AND `item_type` = 'question' [ RunTime:0.000415s ]
SHOW FULL COLUMNS FROM `aws_topic` [ RunTime:0.000522s ]
SELECT * FROM `aws_topic` WHERE `id` IN (5,3,68,2,83,84,85) [ RunTime:0.000406s ]
SELECT * FROM `aws_question` WHERE `status` = 1 AND `id` IN (6,33,32,14,7) [ RunTime:0.000714s ]
SELECT `topic_id`,`item_type`,`item_id` FROM `aws_topic_relation` WHERE `item_id` IN (13,81,67,71,44,66,38,3,37,32) AND `item_type` = 'article' [ RunTime:0.000619s ]
SELECT * FROM `aws_topic` WHERE `id` IN (30,19,29,50,53,54,18,62,20,5,80,2,82) [ RunTime:0.000462s ]
SHOW FULL COLUMNS FROM `aws_article` [ RunTime:0.000920s ]
SELECT * FROM `aws_article` WHERE `status` = 1 AND `id` IN (13,81,67,71,44,66,38,3,37,32) [ RunTime:0.004099s ]
SHOW FULL COLUMNS FROM `aws_users` [ RunTime:0.001186s ]
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 (46,5,35,56,90,55,1,42,6,89,4,12) [ RunTime:0.000817s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 1 LIMIT 1 [ RunTime:0.000372s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 1 LIMIT 1 [ RunTime:0.000300s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 4 LIMIT 1 [ RunTime:0.000340s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 4 LIMIT 1 [ RunTime:0.000323s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 5 LIMIT 1 [ RunTime:0.000342s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 5 LIMIT 1 [ RunTime:0.000299s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 6 LIMIT 1 [ RunTime:0.000299s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 6 LIMIT 1 [ RunTime:0.000288s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 12 LIMIT 1 [ RunTime:0.000313s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 12 LIMIT 1 [ RunTime:0.000296s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 35 LIMIT 1 [ RunTime:0.000308s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 35 LIMIT 1 [ RunTime:0.000336s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 42 LIMIT 1 [ RunTime:0.000307s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 42 LIMIT 1 [ RunTime:0.000314s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 46 LIMIT 1 [ RunTime:0.000351s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 46 LIMIT 1 [ RunTime:0.000331s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 55 LIMIT 1 [ RunTime:0.000280s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 55 LIMIT 1 [ RunTime:0.000290s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 56 LIMIT 1 [ RunTime:0.000309s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 56 LIMIT 1 [ RunTime:0.000316s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 89 LIMIT 1 [ RunTime:0.000321s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 89 LIMIT 1 [ RunTime:0.000290s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 90 LIMIT 1 [ RunTime:0.000320s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 90 LIMIT 1 [ RunTime:0.000313s ]
SHOW FULL COLUMNS FROM `aws_question_vote` [ RunTime:0.000651s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 5 AND `item_type` = 'answer' LIMIT 1 [ RunTime:0.000442s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 6 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000384s ]
SHOW FULL COLUMNS FROM `aws_article_vote` [ RunTime:0.000606s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 13 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000376s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 81 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000321s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 67 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000374s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 71 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000392s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 44 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000388s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 66 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000385s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 38 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000430s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 3 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000368s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 33 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000400s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 32 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000318s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 37 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000414s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 32 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000392s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 21 AND `item_type` = 'answer' LIMIT 1 [ RunTime:0.000377s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 14 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000392s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 7 AND `item_type` = 'answer' LIMIT 1 [ RunTime:0.000367s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 7 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000349s ]
SHOW FULL COLUMNS FROM `aws_announce` [ RunTime:0.000770s ]
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SELECT COUNT(*) AS think_count FROM `aws_topic` WHERE `status` = 1 AND `discuss_month` > 0 LIMIT 1 [ RunTime:0.000529s ]
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SHOW FULL COLUMNS FROM `aws_topic_focus` [ RunTime:0.000572s ]
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SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 4 LIMIT 1 [ RunTime:0.000373s ]
SHOW FULL COLUMNS FROM `aws_column` [ RunTime:0.000696s ]
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SELECT * FROM `aws_users` WHERE `uid` <> 0 AND `status` = 1 AND `reputation` > 0 ORDER BY RAND(),`reputation` DESC,`answer_count` DESC LIMIT 5 [ RunTime:0.001547s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 33 LIMIT 1 [ RunTime:0.000302s ]
SHOW FULL COLUMNS FROM `aws_users_follow` [ RunTime:0.000528s ]
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SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 36 LIMIT 1 [ RunTime:0.000286s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 36 LIMIT 1 [ RunTime:0.000272s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 5 LIMIT 1 [ RunTime:0.000285s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 10 LIMIT 1 [ RunTime:0.000261s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 10 LIMIT 1 [ RunTime:0.000343s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 9 LIMIT 1 [ RunTime:0.000317s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 9 LIMIT 1 [ RunTime:0.000340s ]

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