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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

“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：子弹射入木块的过程中，子弹和木块之间是存在摩擦力的。既然摩擦生热，系统的内能有部分转化为内能，那为啥系统的动量...

物理动量 摩擦力

赞同3  1730浏览  0评论 music 2022-05-27 19:53

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  906浏览  0评论 Xiey 2022-05-22 23:40

文章电压表怎样才能测量出电源的电动势呢？

“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：根据U=E-Ir，只有当电路断路时电压表的示数才等于电源的电动势，但开关断开时电压表又怎么会有示数呢？先来瞧一...

物理电压 电动势

赞同0  824浏览  0评论 music 2022-05-28 14:39

文章越之文章公式测试

$\frac{d^2\psi($$\int_{a}^{b}f(x)\delta(x-x_0)dx=f(x_0),\quad a<x_{0},b>x_{0}$$以上无法渲染可以渲染：$$\frac{d^2\psi(x)}{dx^2...

物理

赞同0  2722浏览  0评论 林威 2022-07-18 11:43

林威 回复了问题 2022-05-22 23:05 人工智能: 问答如何获得一个客服机器人？

林威 :如果是微信公众号的话，可以使用企业微信自带的企业微信客服功能。直接可以配置常用回复语。缺点在于是没有自动AI，如果客户问题超出知识库，就要转人工。具体效果可以看“悟理wuphys”公众号，用户服务-客服。如果是像野生旺财的AI效果，就比较复杂了。涉及软件和硬件，10个步骤以上。所以我建议大部分普通人...; 赞同0 反对 0人感谢 0评论 1回复

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

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 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  1096浏览  4评论 林威 2022-05-11 02:31

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  964浏览  0评论 yubr 2022-05-23 00:01

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  816浏览  0评论 长尾科技 2022-05-16 17:24

文章规范场论发展简史

规范场论发展简史作者 | yubr 规范场论起源于20世纪20年代Weyl关于电磁场规范对称性的基本思想，1954年杨振宁和Mills将规范对称性推广到了非阿贝尔场的情形。从Yang-Mills理论1954年被提出，一直到1971年非阿贝...

物理 规范场论

赞同2  821浏览  0评论 yubr 2022-05-16 22:50

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  905浏览  0评论 redcrag 2022-06-06 00:01

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  716浏览  0评论 无名_unknownID 2022-05-28 19:08

文章力的分解到底是不是很任性？

“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  712浏览  0评论 music 2022-05-25 18:55

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CONNECT:[ UseTime:0.000424s ] mysql:host=127.0.0.1;port=3306;dbname=wuphysthink;charset=utf8mb4
SHOW FULL COLUMNS FROM `aws_hook_plugins` [ RunTime:0.000713s ]
SELECT `hook`,`plugins` FROM `aws_hook_plugins` WHERE `status` = 1 ORDER BY `sort` DESC [ RunTime:0.000327s ]
SHOW FULL COLUMNS FROM `aws_config` [ RunTime:0.000619s ]
SELECT * FROM `aws_config` [ RunTime:0.000476s ]
SHOW FULL COLUMNS FROM `aws_forbidden_ip` [ RunTime:0.000559s ]
SELECT `ip` FROM `aws_forbidden_ip` [ RunTime:0.000177s ]
SHOW FULL COLUMNS FROM `aws_admin_group` [ RunTime:0.000467s ]
SELECT `permission` FROM `aws_admin_group` WHERE `id` = 5 LIMIT 1 [ RunTime:0.000264s ]
SHOW FULL COLUMNS FROM `aws_users_online` [ RunTime:0.000413s ]
DELETE FROM `aws_users_online` WHERE `last_login_time` < 1746506695 [ RunTime:0.002983s ]
SHOW FULL COLUMNS FROM `aws_menu_rule` [ RunTime:0.000507s ]
SELECT * FROM `aws_menu_rule` WHERE `status` = 1 AND `group` = 'nav' ORDER BY `sort` ASC,`id` ASC [ RunTime:0.000320s ]
SELECT * FROM `aws_menu_rule` WHERE `status` = 1 AND `group` = 'footer' ORDER BY `sort` ASC,`id` ASC [ RunTime:0.000300s ]
SHOW FULL COLUMNS FROM `aws_links` [ RunTime:0.000446s ]
SELECT * FROM `aws_links` WHERE `status` = 1 [ RunTime:0.000268s ]
SHOW FULL COLUMNS FROM `aws_post_relation` [ RunTime:0.000558s ]
SELECT COUNT(*) AS think_count FROM `aws_post_relation` WHERE `item_type` IN ('question','article','') LIMIT 1 [ RunTime:0.000358s ]
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:0.000400s ]
SHOW FULL COLUMNS FROM `aws_question` [ RunTime:0.000585s ]
SELECT `last_answer` FROM `aws_question` WHERE `id` IN (8,2,23,1) AND `status` = 1 [ RunTime:0.000291s ]
SHOW FULL COLUMNS FROM `aws_answer` [ RunTime:0.000482s ]
SELECT * FROM `aws_answer` WHERE `status` = 1 AND `id` IN (6,10,9,0) [ RunTime:0.000425s ]
SHOW FULL COLUMNS FROM `aws_topic_relation` [ RunTime:0.000439s ]
SELECT `topic_id`,`item_type`,`item_id` FROM `aws_topic_relation` WHERE `item_id` IN (8,2,23,1) AND `item_type` = 'question' [ RunTime:0.000362s ]
SHOW FULL COLUMNS FROM `aws_topic` [ RunTime:0.000452s ]
SELECT * FROM `aws_topic` WHERE `id` IN (2,8,47,48,49,18) [ RunTime:0.000329s ]
SELECT * FROM `aws_question` WHERE `status` = 1 AND `id` IN (8,2,23,1) [ RunTime:0.000630s ]
SELECT `topic_id`,`item_type`,`item_id` FROM `aws_topic_relation` WHERE `item_id` IN (43,32,46,83,5,33,17,22,68,50,39) AND `item_type` = 'article' [ RunTime:0.000510s ]
SELECT * FROM `aws_topic` WHERE `id` IN (16,19,5,2,35,29,50,27,59,60,66,67,65,57,80) [ RunTime:0.000407s ]
SHOW FULL COLUMNS FROM `aws_article` [ RunTime:0.000853s ]
SELECT * FROM `aws_article` WHERE `status` = 1 AND `id` IN (43,32,46,83,5,33,17,22,68,50,39) [ RunTime:0.004142s ]
SHOW FULL COLUMNS FROM `aws_users` [ RunTime:0.000834s ]
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 (12,65,6,1,2,5,55,56,90,33) [ RunTime:0.000728s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 1 LIMIT 1 [ RunTime:0.000332s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 1 LIMIT 1 [ RunTime:0.000293s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 2 LIMIT 1 [ RunTime:0.000311s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 2 LIMIT 1 [ RunTime:0.000283s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 5 LIMIT 1 [ RunTime:0.000313s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 5 LIMIT 1 [ RunTime:0.000282s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 6 LIMIT 1 [ RunTime:0.000291s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 6 LIMIT 1 [ RunTime:0.000280s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 12 LIMIT 1 [ RunTime:0.000296s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 12 LIMIT 1 [ RunTime:0.000279s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 33 LIMIT 1 [ RunTime:0.000291s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 33 LIMIT 1 [ RunTime:0.000276s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 55 LIMIT 1 [ RunTime:0.000284s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 55 LIMIT 1 [ RunTime:0.000278s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 56 LIMIT 1 [ RunTime:0.000285s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 56 LIMIT 1 [ RunTime:0.000291s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 65 LIMIT 1 [ RunTime:0.000285s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 65 LIMIT 1 [ RunTime:0.000290s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 90 LIMIT 1 [ RunTime:0.000295s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 90 LIMIT 1 [ RunTime:0.000310s ]
SHOW FULL COLUMNS FROM `aws_question_vote` [ RunTime:0.000555s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 9 AND `item_type` = 'answer' LIMIT 1 [ RunTime:0.000289s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 8 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000247s ]
SHOW FULL COLUMNS FROM `aws_article_vote` [ RunTime:0.000473s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 43 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000272s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 32 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000286s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 46 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000341s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 83 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000324s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 10 AND `item_type` = 'answer' LIMIT 1 [ RunTime:0.000326s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 2 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000313s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 23 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000352s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 6 AND `item_type` = 'answer' LIMIT 1 [ RunTime:0.000321s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 1 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000344s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 5 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000328s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 33 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000349s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 17 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000357s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 22 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000345s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 68 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000359s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 50 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000351s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 39 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000351s ]
SHOW FULL COLUMNS FROM `aws_announce` [ RunTime:0.000659s ]
SELECT * FROM `aws_announce` WHERE `status` = 1 ORDER BY `set_top_time` DESC,`sort` DESC LIMIT 0,3 [ RunTime:0.000344s ]
SELECT COUNT(*) AS think_count FROM `aws_topic` WHERE `status` = 1 AND `discuss_month` > 0 LIMIT 1 [ RunTime:0.000480s ]
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SHOW FULL COLUMNS FROM `aws_topic_focus` [ RunTime:0.000497s ]
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SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 68 LIMIT 1 [ RunTime:0.000299s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 41 LIMIT 1 [ RunTime:0.000297s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 43 LIMIT 1 [ RunTime:0.000288s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 84 LIMIT 1 [ RunTime:0.000300s ]
SHOW FULL COLUMNS FROM `aws_column` [ RunTime:0.000578s ]
SELECT * FROM `aws_column` WHERE `verify` = 1 ORDER BY RAND(),`view_count` DESC LIMIT 0,5 [ RunTime:0.000536s ]
SELECT * FROM `aws_users` WHERE `uid` <> 0 AND `status` = 1 AND `reputation` > 0 ORDER BY RAND(),`reputation` DESC,`answer_count` DESC LIMIT 5 [ RunTime:0.001073s ]
SHOW FULL COLUMNS FROM `aws_users_follow` [ RunTime:0.000529s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 90 LIMIT 1 [ RunTime:0.000298s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 65 LIMIT 1 [ RunTime:0.000300s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 44 LIMIT 1 [ RunTime:0.000281s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 44 LIMIT 1 [ RunTime:0.000295s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 33 LIMIT 1 [ RunTime:0.000222s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 1 LIMIT 1 [ RunTime:0.000212s ]

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