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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：洛伦兹力对运动电荷不做功的特点是显而易见的，安培力的微观解释又是大量运动电荷所受洛伦兹力的合力，然而安培力却可...

高中物理 物理

赞同1  1315浏览  0评论 music 2022-05-28 14:40

文章一文看懂测量的误差与估读

一、误差误差测量值真实值想必大家都知道对同一对象多次测量取其算术平均值就能很好的减小随机误差。不过在历史上这个观念可曾备受质疑，为啥呢？这得从误差的认识说起。据悉是伽利略首次提出了观测误差（就是随机误差的...

物理测量

赞同1  1513浏览  0评论 music 2022-05-29 21:46

文章 2022年5月11日，悟理公测

各位朋友们，经过紧张的技术准备工作和小范围内测，悟理知识平台定于2022年5月11日，以邀请制注册的方式开始公测。公测期间，各位朋友可以通过公众号“悟理wuphys”，以及网站 http://www.wuphys.com 、悟理.中国来访...

公告站务

赞同5  1384浏览  4评论 林威 2022-05-11 02:31

长尾科技 发起了提问 2022-06-07 11:12 相对论: 问答如何看待汪洁的相对论科普书《时间的形状》？

《时间的形状》是一本比较通俗的相对论科普书，零基础的朋友基本上也能看得懂。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【学...; 关注问题 1 0人感谢 0评论

文章《人类司机》- 第一部分：地面篇

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  1035浏览  0评论 无名_unknownID 2022-05-28 00:30

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

文章熵是什么

熵是什么作者 | yubr 本文想要用尽量通俗的语言介绍熵到底是什么。为了更加全面，我们将分别从熵的热力学定义，熵的统计力学定义（玻尔兹曼熵，吉布斯熵）和熵的信息学定义（香农熵，冯·诺依曼熵）来介绍，并揭示这些定义的相互联系。 1....

统计物理

赞同1  1005浏览  0评论 yubr 2022-05-17 22:56

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 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

文章简谐振动的运动学方程是怎么来的？

简谐振动是最简单最基本的振动，它的典型例子是弹簧振子。水平弹簧振子什么是弹簧振子呢？一个不考虑质量的弹簧连接一个有质量的小球或物块，然后把它沿着弹簧的方向压缩或者拉伸一定的距离（不要拉得太狠，悠着点儿）后松手，那么物块就会只在弹簧弹力的作用...

振动 牛顿力学

赞同3  1018浏览  1评论 小熊君 2022-05-18 16:02

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

文章伽利略逝世的那年牛顿诞生，真的是这样吗？

历法

赞同3  1023浏览  0评论 traderjoes 2022-05-17 01:55

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

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《人类司机》- 第四部分：未来篇

人类司机 科幻

赞同1  900浏览  0评论 无名_unknownID 2022-05-28 19:08

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CONNECT:[ UseTime:0.001486s ] mysql:host=127.0.0.1;port=3306;dbname=wuphysthink;charset=utf8mb4
SHOW FULL COLUMNS FROM `aws_hook_plugins` [ RunTime:0.000693s ]
SELECT `hook`,`plugins` FROM `aws_hook_plugins` WHERE `status` = 1 ORDER BY `sort` DESC [ RunTime:0.000389s ]
SHOW FULL COLUMNS FROM `aws_config` [ RunTime:0.000800s ]
SELECT * FROM `aws_config` [ RunTime:0.000685s ]
SHOW FULL COLUMNS FROM `aws_forbidden_ip` [ RunTime:0.000701s ]
SELECT `ip` FROM `aws_forbidden_ip` [ RunTime:0.000246s ]
SHOW FULL COLUMNS FROM `aws_admin_group` [ RunTime:0.000598s ]
SELECT `permission` FROM `aws_admin_group` WHERE `id` = 5 LIMIT 1 [ RunTime:0.000314s ]
SHOW FULL COLUMNS FROM `aws_users_online` [ RunTime:0.000576s ]
DELETE FROM `aws_users_online` WHERE `last_login_time` < 1769880156 [ RunTime:0.032958s ]
SHOW FULL COLUMNS FROM `aws_menu_rule` [ RunTime:0.000908s ]
SELECT * FROM `aws_menu_rule` WHERE `status` = 1 AND `group` = 'nav' ORDER BY `sort` ASC,`id` ASC [ RunTime:0.000491s ]
SELECT * FROM `aws_menu_rule` WHERE `status` = 1 AND `group` = 'footer' ORDER BY `sort` ASC,`id` ASC [ RunTime:0.000446s ]
SHOW FULL COLUMNS FROM `aws_links` [ RunTime:0.000704s ]
SELECT * FROM `aws_links` WHERE `status` = 1 [ RunTime:0.000385s ]
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:0.010605s ]
SELECT `id`,`item_id`,`item_type`,`uid` FROM `aws_post_relation` WHERE `item_type` IN ('question','article','') ORDER BY RAND(),`is_recommend` DESC LIMIT 90,15 [ RunTime:0.000626s ]
SHOW FULL COLUMNS FROM `aws_question` [ RunTime:0.000842s ]
SELECT `last_answer` FROM `aws_question` WHERE `id` IN (24,9,1,12,25,33) AND `status` = 1 [ RunTime:0.000406s ]
SHOW FULL COLUMNS FROM `aws_answer` [ RunTime:0.000682s ]
SELECT * FROM `aws_answer` WHERE `status` = 1 AND `id` IN (6,12,15,0) [ RunTime:0.000632s ]
SHOW FULL COLUMNS FROM `aws_topic_relation` [ RunTime:0.000595s ]
SELECT `topic_id`,`item_type`,`item_id` FROM `aws_topic_relation` WHERE `item_id` IN (24,9,1,12,25,33) AND `item_type` = 'question' [ RunTime:0.000490s ]
SHOW FULL COLUMNS FROM `aws_topic` [ RunTime:0.000715s ]
SELECT * FROM `aws_topic` WHERE `id` IN (2,61,3,18,83,84,85) [ RunTime:0.000466s ]
SELECT * FROM `aws_question` WHERE `status` = 1 AND `id` IN (24,9,1,12,25,33) [ RunTime:0.023527s ]
SELECT `topic_id`,`item_type`,`item_id` FROM `aws_topic_relation` WHERE `item_id` IN (47,55,5,45,25,82,31,24,50) AND `item_type` = 'article' [ RunTime:0.000690s ]
SELECT * FROM `aws_topic` WHERE `id` IN (16,5,38,36,42,23,65,57,27,2,74,82) [ RunTime:0.000500s ]
SHOW FULL COLUMNS FROM `aws_article` [ RunTime:0.000867s ]
SELECT * FROM `aws_article` WHERE `status` = 1 AND `id` IN (47,55,5,45,25,82,31,24,50) [ RunTime:0.016085s ]
SHOW FULL COLUMNS FROM `aws_users` [ RunTime:0.001051s ]
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 (65,1,5,90,42,55,35,10,12,9,33,13) [ RunTime:0.000801s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 1 LIMIT 1 [ RunTime:0.000339s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 1 LIMIT 1 [ RunTime:0.000336s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 5 LIMIT 1 [ RunTime:0.000318s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 5 LIMIT 1 [ RunTime:0.010964s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 9 LIMIT 1 [ RunTime:0.000290s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 9 LIMIT 1 [ RunTime:0.000278s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 10 LIMIT 1 [ RunTime:0.000304s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 10 LIMIT 1 [ RunTime:0.000271s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 12 LIMIT 1 [ RunTime:0.000281s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 12 LIMIT 1 [ RunTime:0.000268s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 13 LIMIT 1 [ RunTime:0.000283s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 13 LIMIT 1 [ RunTime:0.000270s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 33 LIMIT 1 [ RunTime:0.000293s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 33 LIMIT 1 [ RunTime:0.000305s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 35 LIMIT 1 [ RunTime:0.000299s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 35 LIMIT 1 [ RunTime:0.000287s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 42 LIMIT 1 [ RunTime:0.000305s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 42 LIMIT 1 [ RunTime:0.000271s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 55 LIMIT 1 [ RunTime:0.000309s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 55 LIMIT 1 [ RunTime:0.000268s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 65 LIMIT 1 [ RunTime:0.000326s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 65 LIMIT 1 [ RunTime:0.000308s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 90 LIMIT 1 [ RunTime:0.000305s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 90 LIMIT 1 [ RunTime:0.000324s ]
SHOW FULL COLUMNS FROM `aws_article_vote` [ RunTime:0.011028s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 47 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000436s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 55 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000418s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 5 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000367s ]
SHOW FULL COLUMNS FROM `aws_question_vote` [ RunTime:0.000646s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 24 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000396s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 45 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000372s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 12 AND `item_type` = 'answer' LIMIT 1 [ RunTime:0.000380s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 9 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000379s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 25 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.010233s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 6 AND `item_type` = 'answer' LIMIT 1 [ RunTime:0.000376s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 1 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000350s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 82 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000348s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 31 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000388s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 15 AND `item_type` = 'answer' LIMIT 1 [ RunTime:0.000354s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 12 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000327s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 24 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000342s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 25 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000330s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 33 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.009452s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 50 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000384s ]
SHOW FULL COLUMNS FROM `aws_announce` [ RunTime:0.000717s ]
SELECT * FROM `aws_announce` WHERE `status` = 1 ORDER BY `set_top_time` DESC,`sort` DESC LIMIT 0,3 [ RunTime:0.000413s ]
SELECT COUNT(*) AS think_count FROM `aws_topic` WHERE `status` = 1 AND `discuss_month` > 0 LIMIT 1 [ RunTime:0.000540s ]
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SHOW FULL COLUMNS FROM `aws_topic_focus` [ RunTime:0.000576s ]
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SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 35 LIMIT 1 [ RunTime:0.000334s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 78 LIMIT 1 [ RunTime:0.000319s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 41 LIMIT 1 [ RunTime:0.000353s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 79 LIMIT 1 [ RunTime:0.000309s ]
SHOW FULL COLUMNS FROM `aws_column` [ RunTime:0.000712s ]
SELECT * FROM `aws_column` WHERE `verify` = 1 ORDER BY RAND(),`view_count` DESC LIMIT 0,5 [ RunTime:0.000647s ]
SELECT * FROM `aws_users` WHERE `uid` <> 0 AND `status` = 1 AND `reputation` > 0 ORDER BY RAND(),`reputation` DESC,`answer_count` DESC LIMIT 5 [ RunTime:0.001548s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 44 LIMIT 1 [ RunTime:0.000304s ]
SHOW FULL COLUMNS FROM `aws_users_follow` [ RunTime:0.000591s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 44 LIMIT 1 [ RunTime:0.000330s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 65 LIMIT 1 [ RunTime:0.000301s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 13 LIMIT 1 [ RunTime:0.000314s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 10 LIMIT 1 [ RunTime:0.000291s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 55 LIMIT 1 [ RunTime:0.010091s ]

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