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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  1026浏览  0评论 王元博 2022-06-05 11:54

长尾科技 发起了提问 2022-06-07 11:23 相对论: 问答如何看待布莱恩·格林的《宇宙的琴弦》？

格林的《宇宙的琴弦》是超弦理论的经典科普书，但它在前面也会科普相对论相关的内容。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...; 关注问题 1 0人感谢 0评论

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

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

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

文章整体法适用这种情形吗

“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。已知导体棒MN与PQ的质量分别为和，水平足够长的导轨光滑且处于匀强...

物理 整体法

赞同1  1125浏览  0评论 music 2022-05-30 23:52

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

Vladimir 回复了问题 2022-05-13 00:40 概率: 问答贝叶斯概率公式和先验概率，后验概率

Vladimir :考虑一个我们感兴趣的问题，例如一个选择题，有A，B，C，D四个选项先验概率是我们对系统在相对无知的情况下对它的状态做出的猜测，例如我们根本没有读题，所以我们猜测A，B，C，D四个选项各自都有25%的可能性正确接下来，假设我们读了问题，获得了一些条件，然后在这些条件下，B，C，D都不太可能成立，它们各...; 赞同1 反对 1人感谢 1评论 1回复

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

林威 回复了问题 2022-05-27 02:43 工业: 问答目前国内电动车的发展还有哪些卡脖子技术需要突破？

林威 :真正卡脖子的主要是高端基础零部件，如激光器、超声波发生器和高可靠性的PLC。这些都是电池包制造所需的基础零部件。另外特别揪心的是芯片，自动驾驶需要高算力芯片。而国内现在14nm产能还很低。而没有芯片的结果，华为手机已经示范了。因此，芯片，我们一定要知耻而后勇。还有很多材料是有国产货，但是国产货比进口...; 赞同1 反对 0人感谢 4评论 1回复

文章统计物理的基本思想

统计物理的基本思想作者 | yubr2. 经典统计在统计物理中，我们常用的系综有三类：微正则系综，正则系综和巨正则系综，下面分别加以介绍。 2.1 微正则系综（）微正则系综是最简单的系综，它所包含的系统是孤立系统，且具有确定...

统计物理

赞同0  1178浏览  0评论 yubr 2022-05-17 23:36

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

文章如何理解麦克斯韦方程中的不对称性

物理 麦克斯韦方程组

赞同1  1173浏览  0评论 yubr 2022-05-23 00:01

文章中学生能理解最小作用量原理吗？

最小作用量原理被称为物理中的“第一性原理”，其地位可见一斑。我出于对物理规律普适性的向往，折腾了三个多月写出这篇三万七千字的长文，终于了却了自己的这个心愿。目录02 并不可怕的微积分04 初识变分06 横空出世的拉格朗日方程08 最小作...

拉格朗日函数 最速降线 理论力学 物理科普 最小作用量原理 中学物理

赞同2  912浏览  0评论 music 2022-05-18 14:38

文章《人类司机》- 第二部分：UAM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）的作者...

人类司机 科幻

赞同0  1022浏览  0评论 无名_unknownID 2022-05-28 15:27

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CONNECT:[ UseTime:0.000436s ] mysql:host=127.0.0.1;port=3306;dbname=wuphysthink;charset=utf8mb4
SHOW FULL COLUMNS FROM `aws_hook_plugins` [ RunTime:0.000551s ]
SELECT `hook`,`plugins` FROM `aws_hook_plugins` WHERE `status` = 1 ORDER BY `sort` DESC [ RunTime:0.000301s ]
SHOW FULL COLUMNS FROM `aws_config` [ RunTime:0.000612s ]
SELECT * FROM `aws_config` [ RunTime:0.000429s ]
SHOW FULL COLUMNS FROM `aws_forbidden_ip` [ RunTime:0.000524s ]
SELECT `ip` FROM `aws_forbidden_ip` [ RunTime:0.000174s ]
SHOW FULL COLUMNS FROM `aws_admin_group` [ RunTime:0.000459s ]
SELECT `permission` FROM `aws_admin_group` WHERE `id` = 5 LIMIT 1 [ RunTime:0.000241s ]
SHOW FULL COLUMNS FROM `aws_users_online` [ RunTime:0.000409s ]
DELETE FROM `aws_users_online` WHERE `last_login_time` < 1769874807 [ RunTime:0.006632s ]
SHOW FULL COLUMNS FROM `aws_menu_rule` [ RunTime:0.000556s ]
SELECT * FROM `aws_menu_rule` WHERE `status` = 1 AND `group` = 'nav' ORDER BY `sort` ASC,`id` ASC [ RunTime:0.000401s ]
SELECT * FROM `aws_menu_rule` WHERE `status` = 1 AND `group` = 'footer' ORDER BY `sort` ASC,`id` ASC [ RunTime:0.000370s ]
SHOW FULL COLUMNS FROM `aws_links` [ RunTime:0.000557s ]
SELECT * FROM `aws_links` WHERE `status` = 1 [ RunTime:0.000312s ]
SHOW FULL COLUMNS FROM `aws_post_relation` [ RunTime:0.000622s ]
SELECT COUNT(*) AS think_count FROM `aws_post_relation` WHERE `item_type` IN ('question','article','') LIMIT 1 [ RunTime:0.000387s ]
SELECT `id`,`item_id`,`item_type`,`uid` FROM `aws_post_relation` WHERE `item_type` IN ('question','article','') ORDER BY RAND(),`is_recommend` DESC LIMIT 0,15 [ RunTime:0.000454s ]
SHOW FULL COLUMNS FROM `aws_question` [ RunTime:0.000600s ]
SELECT `last_answer` FROM `aws_question` WHERE `id` IN (28,23,14,32,3,10,1) AND `status` = 1 [ RunTime:0.000369s ]
SHOW FULL COLUMNS FROM `aws_answer` [ RunTime:0.000543s ]
SELECT * FROM `aws_answer` WHERE `status` = 1 AND `id` IN (6,4,13,21,0) [ RunTime:0.000559s ]
SHOW FULL COLUMNS FROM `aws_topic_relation` [ RunTime:0.000485s ]
SELECT `topic_id`,`item_type`,`item_id` FROM `aws_topic_relation` WHERE `item_id` IN (28,23,14,32,3,10,1) AND `item_type` = 'question' [ RunTime:0.000456s ]
SHOW FULL COLUMNS FROM `aws_topic` [ RunTime:0.000515s ]
SELECT * FROM `aws_topic` WHERE `id` IN (2,17,9,68,18) [ RunTime:0.000391s ]
SELECT * FROM `aws_question` WHERE `status` = 1 AND `id` IN (28,23,14,32,3,10,1) [ RunTime:0.000907s ]
SELECT `topic_id`,`item_type`,`item_id` FROM `aws_topic_relation` WHERE `item_id` IN (63,73,58,9,26,33,28,48) AND `item_type` = 'article' [ RunTime:0.000711s ]
SELECT * FROM `aws_topic` WHERE `id` IN (20,36,43,44,45,46,40,26,2,29,65,57,77,16,5) [ RunTime:0.000545s ]
SHOW FULL COLUMNS FROM `aws_article` [ RunTime:0.000845s ]
SELECT * FROM `aws_article` WHERE `status` = 1 AND `id` IN (63,73,58,9,26,33,28,48) [ RunTime:0.015675s ]
SHOW FULL COLUMNS FROM `aws_users` [ RunTime:0.002577s ]
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 (15,5,89,10,65,42,32,76,55,1,90,44,33,12) [ RunTime:0.000752s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 1 LIMIT 1 [ RunTime:0.000353s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 1 LIMIT 1 [ RunTime:0.000292s ]
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SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 10 LIMIT 1 [ RunTime:0.000292s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 10 LIMIT 1 [ RunTime:0.000280s ]
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SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 15 LIMIT 1 [ RunTime:0.000301s ]
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SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 33 LIMIT 1 [ RunTime:0.000298s ]
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SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 42 LIMIT 1 [ RunTime:0.000316s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 44 LIMIT 1 [ RunTime:0.000295s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 44 LIMIT 1 [ RunTime:0.000287s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 55 LIMIT 1 [ RunTime:0.000295s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 55 LIMIT 1 [ RunTime:0.000286s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 65 LIMIT 1 [ RunTime:0.000294s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 65 LIMIT 1 [ RunTime:0.000280s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 76 LIMIT 1 [ RunTime:0.000286s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 76 LIMIT 1 [ RunTime:0.000281s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 89 LIMIT 1 [ RunTime:0.000310s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 89 LIMIT 1 [ RunTime:0.000288s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 90 LIMIT 1 [ RunTime:0.000319s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 90 LIMIT 1 [ RunTime:0.000285s ]
SHOW FULL COLUMNS FROM `aws_article_vote` [ RunTime:0.000587s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 63 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000366s ]
SHOW FULL COLUMNS FROM `aws_question_vote` [ RunTime:0.000522s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 28 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000333s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 23 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000319s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 21 AND `item_type` = 'answer' LIMIT 1 [ RunTime:0.000320s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 14 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000311s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 73 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000341s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 58 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000359s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 32 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000323s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 4 AND `item_type` = 'answer' LIMIT 1 [ RunTime:0.000356s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 3 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000325s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 9 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000344s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 13 AND `item_type` = 'answer' LIMIT 1 [ RunTime:0.000358s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 10 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000327s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 26 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000353s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 6 AND `item_type` = 'answer' LIMIT 1 [ RunTime:0.000355s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 1 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000327s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 33 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000352s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 28 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000473s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 48 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000398s ]
SHOW FULL COLUMNS FROM `aws_announce` [ RunTime:0.000646s ]
SELECT * FROM `aws_announce` WHERE `status` = 1 ORDER BY `set_top_time` DESC,`sort` DESC LIMIT 0,3 [ RunTime:0.000347s ]
SELECT COUNT(*) AS think_count FROM `aws_topic` WHERE `status` = 1 AND `discuss_month` > 0 LIMIT 1 [ RunTime:0.000447s ]
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:0.000775s ]
SHOW FULL COLUMNS FROM `aws_topic_focus` [ RunTime:0.000532s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 50 LIMIT 1 [ RunTime:0.000314s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 65 LIMIT 1 [ RunTime:0.000321s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 83 LIMIT 1 [ RunTime:0.000291s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 13 LIMIT 1 [ RunTime:0.000317s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 33 LIMIT 1 [ RunTime:0.000290s ]
SHOW FULL COLUMNS FROM `aws_column` [ RunTime:0.000555s ]
SELECT * FROM `aws_column` WHERE `verify` = 1 ORDER BY RAND(),`view_count` DESC LIMIT 0,5 [ RunTime:0.000547s ]
SELECT * FROM `aws_users` WHERE `uid` <> 0 AND `status` = 1 AND `reputation` > 0 ORDER BY RAND(),`reputation` DESC,`answer_count` DESC LIMIT 5 [ RunTime:0.001094s ]
SHOW FULL COLUMNS FROM `aws_users_follow` [ RunTime:0.000505s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 33 LIMIT 1 [ RunTime:0.000297s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 9 LIMIT 1 [ RunTime:0.000282s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 9 LIMIT 1 [ RunTime:0.000288s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 90 LIMIT 1 [ RunTime:0.000292s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 35 LIMIT 1 [ RunTime:0.000276s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 35 LIMIT 1 [ RunTime:0.000297s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 1 LIMIT 1 [ RunTime:0.000287s ]

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