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推荐最新热门待回答

“典例问答”栏目将不定期剖析典型问题，把最本质的方法与规律呈现给读者。欢迎大家关注“因物悦理”，我将持续分享高中物理的干货哟。问：力的分解具有任意性，为啥又要沿力的效果分解呢？产生这样的疑惑，多半是被下面的问题给折磨的。力分解的任意性vs按...

高中物理

赞同0  896浏览  0评论 music 2022-05-25 18:55

文章 a

$$ A \hookrightarrow B $$$$ A \twoheadrightarrow B $$$$ A \dashedrightarrow B $$$$ A \cong B $$$$ A \xrightarrow{\sim} B...

数学学习

赞同0  3097浏览  4评论 Giacomo 2022-06-18 20:14

文章最美的公式：你也能懂的麦克斯韦方程组（微分篇）

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  1169浏览  0评论 长尾科技 2022-05-16 17:24

林威 回复了问题 2022-05-20 00:06 流形 激发态 光化学: 问答如何通俗地理解分子激发态动力学中所谓的“流形”（manifold）

林威 : Manifold日语翻译：多样体。这是比较符合原意的。Mani-多，fold-折叠。中文译法为啥叫“流形”，当年的翻译者江泽涵老先生并没有给出明确答案。但我们也不能说这词很有逼格。见江泽涵，《我国数学名词的早期工作》，载《数学通报》，1980年，第12期，第23-24...; 赞同0 反对 0人感谢 0评论 2回复

林威 回复了问题 2022-06-09 17:53 数学学习: 问答这好丑啊

林威 : 略丑$$\int_{-\infty}^{+\infty} {1 \over 1 + x^2} d x$$$$\int_{-\infty}^{+\infty} {1 \over 1 + x^2} d x$$不丑&nbs...; 赞同0 反对 0人感谢 0评论 2回复

长尾科技 发起了提问 2022-06-07 11:53 相对论: 问答如何看待格里菲斯的《电动力学导论》？

因为狭义相对论主要是从电动力学发展出来的，所以一般电动力学的最后一章都会讲狭义相对论的内容，从这个角度去理解狭义相对论会更加自然。格里菲斯的《电动力学导论》就是其中非常好的一本书，大家可以在这里一起学习这本书，有什么问题和想法都可以在这里讨论。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...; 关注问题 1 1人感谢 0评论

阿兰那行 回复了问题 2022-05-17 19:37 物理: 问答从微观角度，如何解释物体产生的磁性？

$U = -\mathbf{m}\cdot\mathbf{B}\\ \mathbf{F} = \nabla(\mathbf{m}\cdot \mathbf{B})?w=100$

$\mathcal{H} = \sum_{ij} -J^F_{ij}(\mathbf{S}_i\cdot\mathbf{S}_j + \frac{1}{4}n_in_j) , \quad J_{ij}^F>0?w=100$

阿兰那行 : 本回答之后会更新更多细节，先提供一个框架和大图景。本回答分三个方面：为什么磁性物体表现宏观的磁力；量子层面上由于电子关联而涌现的磁性“序”；解释铁磁、顺磁、反铁磁之类通俗来讲，磁性其实应该理解为物质在磁场下的响应性质，而定量上这个响应由“磁化强度（磁矩）”“磁化率（响应函数）”来描述。磁化率先...; 赞同5 反对 1人感谢 0评论 4回复

文章最美的公式：你也能懂的麦克斯韦方程组（积分篇）

2004年，英国的科学期刊《物理世界》举办了一个活动：让读者选出科学史上最伟大的公式。结果，麦克斯韦方程组力压质能方程、欧拉公式、牛顿第二定律、勾股定理、薛定谔方程等”方程界“的巨擘，高居榜首。麦克斯韦方程组以一种近乎完美的方式统一了电和磁...

狭义相对论 麦克斯韦方程组

赞同1  933浏览  0评论 长尾科技 2022-05-16 17:24

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  1146浏览  0评论 yubr 2022-05-24 23:00

Jakob齐斋 回复了问题 2022-05-27 23:01 配位化学 化学: 问答在配位化学中，主族金属配位和过渡金属的配位有什么本质区别？

Jakob齐斋 :区别在于，过渡金属和主族元素与配体相互作用的轨道不同。一般过渡金属（3d,4d）形成配合物是过渡金属的d轨道和配体p轨道作用。一般过渡金属（副族）和配体成键，电子只填充在了成键轨道，成键轨道填满，配合物就稳定。常用的经验定律18电子规则也是基于此，即中心原子和配体合力填满9个成键轨道就是稳定的。一般...; 赞同3 反对 2人感谢 0评论 1回复

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  1447浏览  0评论 redcrag 2022-06-05 23:55

文章从卤蛋到小球：梳理相对性原理与协变性的关系

1. 隐秘的相对性原理1.1 调皮的卤蛋想象一个场景。你坐在火车站候车室里，手机上翻着娱乐新闻渐觉没了意思，伸个懒腰恰好碰到身旁的碗装泡面。嗯······要不来一碗？于是，你开始撕包装，放佐料，倒开水，5分钟后，香味扑鼻而来。你小心翼翼地夹...

物理科普

赞同3  1078浏览  0评论 小熊君 2022-06-06 00:15

文章你也能懂的质能方程E=mc²

提到爱因斯坦，很多人的第一反应就是E=mc²。没办法，质能方程看起来“太简单”了：左边的E代表能量，右边的m代表质量，c是光速，都是中学生就能看懂的物理量。而且，这个方程看起来太神奇了，它告诉我们一般物体都蕴含了巨大的能量，原子弹那毁天灭地...

狭义相对论

赞同1  1078浏览  0评论 长尾科技 2022-05-16 17:24

文章相对论前夜：牛顿和麦克斯韦的战争

为了给狭义相对论作铺垫，我专门写了三篇麦克斯韦方程组的文章，为了让中小学生能更好理解麦克斯韦方程组，我又补了一篇微积分，现在终于可以正式谈狭义相对论了。为什么讲狭义相对论要先讲电磁理论呢？爱因斯坦发表狭义相对论的论文叫《论动体的电动力学》...

狭义相对论 相对论

赞同1  986浏览  0评论 长尾科技 2022-05-16 17:24

文章不确定性原理到底在说什么？

提到量子力学，不确定性原理就是一个绕不开的话题。不确定性原理非常直观地体现了量子力学和经典力学之间的差异，而且表述还非常简单。它既不像薛定谔方程那样需要微积分和分析力学的基础，也不像算符、矩阵那样需要线性代数的基础，基本上谁都能谈几句。但是...

量子力学

赞同0  927浏览  0评论 长尾科技 2022-05-16 17:24

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CONNECT:[ UseTime:0.035996s ] mysql:host=127.0.0.1;port=3306;dbname=wuphysthink;charset=utf8mb4
SHOW FULL COLUMNS FROM `aws_hook_plugins` [ RunTime:0.021478s ]
SELECT `hook`,`plugins` FROM `aws_hook_plugins` WHERE `status` = 1 ORDER BY `sort` DESC [ RunTime:0.021490s ]
SHOW FULL COLUMNS FROM `aws_config` [ RunTime:0.013430s ]
SELECT * FROM `aws_config` [ RunTime:0.021112s ]
SHOW FULL COLUMNS FROM `aws_forbidden_ip` [ RunTime:0.022026s ]
SELECT `ip` FROM `aws_forbidden_ip` [ RunTime:0.001194s ]
SHOW FULL COLUMNS FROM `aws_admin_group` [ RunTime:0.001056s ]
SELECT `permission` FROM `aws_admin_group` WHERE `id` = 5 LIMIT 1 [ RunTime:0.014948s ]
SHOW FULL COLUMNS FROM `aws_users_online` [ RunTime:0.000647s ]
DELETE FROM `aws_users_online` WHERE `last_login_time` < 1769880157 [ RunTime:0.024725s ]
SHOW FULL COLUMNS FROM `aws_menu_rule` [ RunTime:0.015310s ]
SELECT * FROM `aws_menu_rule` WHERE `status` = 1 AND `group` = 'nav' ORDER BY `sort` ASC,`id` ASC [ RunTime:0.000438s ]
SELECT * FROM `aws_menu_rule` WHERE `status` = 1 AND `group` = 'footer' ORDER BY `sort` ASC,`id` ASC [ RunTime:0.000394s ]
SHOW FULL COLUMNS FROM `aws_links` [ RunTime:0.000667s ]
SELECT * FROM `aws_links` WHERE `status` = 1 [ RunTime:0.000343s ]
SHOW FULL COLUMNS FROM `aws_post_relation` [ RunTime:0.000723s ]
SELECT COUNT(*) AS think_count FROM `aws_post_relation` WHERE `item_type` IN ('question','article','') LIMIT 1 [ RunTime:0.000460s ]
SELECT `id`,`item_id`,`item_type`,`uid` FROM `aws_post_relation` WHERE `item_type` IN ('question','article','') ORDER BY RAND(),`is_recommend` DESC LIMIT 15,15 [ RunTime:0.000636s ]
SHOW FULL COLUMNS FROM `aws_question` [ RunTime:0.000815s ]
SELECT `last_answer` FROM `aws_question` WHERE `id` IN (8,35,31,1,12) AND `status` = 1 [ RunTime:0.000400s ]
SHOW FULL COLUMNS FROM `aws_answer` [ RunTime:0.000698s ]
SELECT * FROM `aws_answer` WHERE `status` = 1 AND `id` IN (6,9,15,0,34) [ RunTime:0.000667s ]
SHOW FULL COLUMNS FROM `aws_topic_relation` [ RunTime:0.000600s ]
SELECT `topic_id`,`item_type`,`item_id` FROM `aws_topic_relation` WHERE `item_id` IN (8,35,31,1,12) AND `item_type` = 'question' [ RunTime:0.000510s ]
SHOW FULL COLUMNS FROM `aws_topic` [ RunTime:0.000687s ]
SELECT * FROM `aws_topic` WHERE `id` IN (2,47,48,49,61,3,18,82) [ RunTime:0.000517s ]
SELECT * FROM `aws_question` WHERE `status` = 1 AND `id` IN (8,35,31,1,12) [ RunTime:0.000732s ]
SELECT `topic_id`,`item_type`,`item_id` FROM `aws_topic_relation` WHERE `item_id` IN (39,82,13,12,37,66,73,17,15,9) AND `item_type` = 'article' [ RunTime:0.000691s ]
SELECT * FROM `aws_topic` WHERE `id` IN (20,19,29,30,53,54,27,18,80,2,46,82) [ RunTime:0.000544s ]
SHOW FULL COLUMNS FROM `aws_article` [ RunTime:0.000866s ]
SELECT * FROM `aws_article` WHERE `status` = 1 AND `id` IN (39,82,13,12,37,66,73,17,15,9) [ RunTime:0.003644s ]
SHOW FULL COLUMNS FROM `aws_users` [ RunTime:0.001081s ]
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 (65,35,5,12,1,55,56,10,33,13) [ RunTime:0.000722s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 1 LIMIT 1 [ RunTime:0.000836s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 1 LIMIT 1 [ RunTime:0.000326s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 5 LIMIT 1 [ RunTime:0.000310s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 5 LIMIT 1 [ RunTime:0.000328s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 10 LIMIT 1 [ RunTime:0.000300s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 10 LIMIT 1 [ RunTime:0.000259s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 12 LIMIT 1 [ RunTime:0.000318s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 12 LIMIT 1 [ RunTime:0.000311s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 13 LIMIT 1 [ RunTime:0.000273s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 13 LIMIT 1 [ RunTime:0.000286s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 33 LIMIT 1 [ RunTime:0.000297s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 33 LIMIT 1 [ RunTime:0.000292s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 35 LIMIT 1 [ RunTime:0.000301s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 35 LIMIT 1 [ RunTime:0.000275s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 55 LIMIT 1 [ RunTime:0.000267s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 55 LIMIT 1 [ RunTime:0.000283s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 56 LIMIT 1 [ RunTime:0.000257s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 56 LIMIT 1 [ RunTime:0.000312s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 65 LIMIT 1 [ RunTime:0.000286s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 65 LIMIT 1 [ RunTime:0.000312s ]
SHOW FULL COLUMNS FROM `aws_article_vote` [ RunTime:0.000581s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 39 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000540s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 82 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000383s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 13 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000358s ]
SHOW FULL COLUMNS FROM `aws_question_vote` [ RunTime:0.000610s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 9 AND `item_type` = 'answer' LIMIT 1 [ RunTime:0.000380s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 8 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000344s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 34 AND `item_type` = 'answer' LIMIT 1 [ RunTime:0.000394s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 35 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000331s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 31 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.018155s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 6 AND `item_type` = 'answer' LIMIT 1 [ RunTime:0.000333s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 1 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000345s ]
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SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 37 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000465s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 15 AND `item_type` = 'answer' LIMIT 1 [ RunTime:0.000427s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 12 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000403s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 66 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000405s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 73 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000351s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 17 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000426s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 15 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000466s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 9 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000366s ]
SHOW FULL COLUMNS FROM `aws_announce` [ RunTime:0.000696s ]
SELECT * FROM `aws_announce` WHERE `status` = 1 ORDER BY `set_top_time` DESC,`sort` DESC LIMIT 0,3 [ RunTime:0.000375s ]
SELECT COUNT(*) AS think_count FROM `aws_topic` WHERE `status` = 1 AND `discuss_month` > 0 LIMIT 1 [ RunTime:0.000551s ]
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:0.001071s ]
SHOW FULL COLUMNS FROM `aws_topic_focus` [ RunTime:0.000675s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 29 LIMIT 1 [ RunTime:0.000449s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 13 LIMIT 1 [ RunTime:0.000515s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 44 LIMIT 1 [ RunTime:0.000427s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 5 LIMIT 1 [ RunTime:0.000411s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 38 LIMIT 1 [ RunTime:0.000410s ]
SHOW FULL COLUMNS FROM `aws_column` [ RunTime:0.000769s ]
SELECT * FROM `aws_column` WHERE `verify` = 1 ORDER BY RAND(),`view_count` DESC LIMIT 0,5 [ RunTime:0.000819s ]
SELECT * FROM `aws_users` WHERE `uid` <> 0 AND `status` = 1 AND `reputation` > 0 ORDER BY RAND(),`reputation` DESC,`answer_count` DESC LIMIT 5 [ RunTime:0.001779s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 37 LIMIT 1 [ RunTime:0.000386s ]
SHOW FULL COLUMNS FROM `aws_users_follow` [ RunTime:0.000604s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 37 LIMIT 1 [ RunTime:0.000416s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 10 LIMIT 1 [ RunTime:0.000355s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 1 LIMIT 1 [ RunTime:0.000361s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 5 LIMIT 1 [ RunTime:0.000343s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 9 LIMIT 1 [ RunTime:0.000263s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 9 LIMIT 1 [ RunTime:0.000307s ]

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