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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  1090浏览  0评论 music 2022-05-29 21:46

粽子 回复了问题 2022-06-02 11:45 数学: 问答求教个人业余想学习数学的路径

粽子 :哈哈哈我很想放一个@Vladimir的路径图呢。首先声明，学习路径是个很个人的事情。（当然这也意味着，大家容易有不同意见。我先抛砖引玉，还请友善交流）看看你喜欢什么方向咯。不算应用，数学大致可以分为代数和数论，几何和拓扑，当然还有分析类。当然也有很多其他分支，也有很多交叉性的东西。所以弄清楚自己对什...; 赞同4 反对 2人感谢 1评论 3回复

长尾科技 发起了提问 2022-06-07 11:33 相对论: 问答一起学习梁灿彬老师的《从零学相对论》

梁老师的《从零学相对论》是一本极好的相对论入门教材，它非常通俗，对读者比较友好，希望系统学习相对论的朋友绝对要仔细看这本书。大家在学习过程中有什么问题，想法，都可以在这里沟通，大家来一起把梁老师的《从零学相对论》学透。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...; 关注问题 1 0人感谢 0评论

无名_unknownID 回复了问题 2022-05-28 21:15 自动驾驶: 问答公路交通除了机动车自动驾驶，还有什么新的发展方向？

无名_unknownID :我的方案和 @zhaoshuais 十分类似，但泛用性会更好，至少看上去也不那么low去除受电弓和接触网，而是在每个车道中央在路面上埋设导轨，以及导轨两边埋设电轨。电动汽车开到高速上，将车头和车位的固定件展开并卡在导轨上，然后放下导电轮从电轨中获取电力。优点就是比起受电弓方案更加方便，不...; 赞同0 反对 0人感谢 0评论 2回复

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

文章深度：宇称不守恒到底说了啥？杨振宁和李政道的发现究竟有多大意义？

宇称不守恒，这是一个让许多中国人既熟悉又陌生的词语！熟悉，是因为这是全球华人的第一个诺贝尔奖，我们的教科书和媒体会经常提到这个也是很自然的事情；陌生，是因为大多人除了知道杨振宁和李政道发现了它以外，完全不知道这个宇称不守恒到底在说啥。另...

杨振宁 宇称不守恒

赞同2  943浏览  0评论 长尾科技 2022-05-16 17:26

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

文章为什么电场强度的大小与电势的高低没有关系？

“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：在静电场中某点，为什么场强大小与该点的电势大小没有关系呢？场强和电势都是描述电场特点的物理量，但是它俩之间的大...

物理电势电场

赞同1  999浏览  0评论 music 2022-05-29 20:24

文章 “懂王”的你，咋就下笔即错呢？

《学习高中物理会有哪些坑？》连载文章将会分享一些学习高中物理时所面临的典型问题与困惑。欢迎大家关注“因物悦理”，我将持续分享高中物理的干货哟。“手机好像响了”、“有人在敲门”、“Ta好像喜欢我”......生活中有太多的错觉，不知你中了几个...

物理 高中物理

赞同2  814浏览  0评论 music 2022-05-31 23:18

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  717浏览  0评论 music 2022-05-18 14:38

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《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  758浏览  0评论 无名_unknownID 2022-05-28 00:30

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  809浏览  1评论 小熊君 2022-05-18 16:02

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  770浏览  0评论 traderjoes 2022-05-17 01:55

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  820浏览  0评论 小熊君 2022-06-06 00:15

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CONNECT:[ UseTime:0.000503s ] mysql:host=127.0.0.1;port=3306;dbname=wuphysthink;charset=utf8mb4
SHOW FULL COLUMNS FROM `aws_hook_plugins` [ RunTime:0.000697s ]
SELECT `hook`,`plugins` FROM `aws_hook_plugins` WHERE `status` = 1 ORDER BY `sort` DESC [ RunTime:0.000385s ]
SHOW FULL COLUMNS FROM `aws_config` [ RunTime:0.000782s ]
SELECT * FROM `aws_config` [ RunTime:0.000640s ]
SHOW FULL COLUMNS FROM `aws_forbidden_ip` [ RunTime:0.000712s ]
SELECT `ip` FROM `aws_forbidden_ip` [ RunTime:0.000253s ]
SHOW FULL COLUMNS FROM `aws_admin_group` [ RunTime:0.000545s ]
SELECT `permission` FROM `aws_admin_group` WHERE `id` = 5 LIMIT 1 [ RunTime:0.000292s ]
SHOW FULL COLUMNS FROM `aws_users_online` [ RunTime:0.000549s ]
DELETE FROM `aws_users_online` WHERE `last_login_time` < 1746492227 [ RunTime:0.004059s ]
SHOW FULL COLUMNS FROM `aws_menu_rule` [ RunTime:0.000572s ]
SELECT * FROM `aws_menu_rule` WHERE `status` = 1 AND `group` = 'nav' ORDER BY `sort` ASC,`id` ASC [ RunTime:0.000396s ]
SELECT * FROM `aws_menu_rule` WHERE `status` = 1 AND `group` = 'footer' ORDER BY `sort` ASC,`id` ASC [ RunTime:0.000382s ]
SHOW FULL COLUMNS FROM `aws_links` [ RunTime:0.000612s ]
SELECT * FROM `aws_links` WHERE `status` = 1 [ RunTime:0.000288s ]
SHOW FULL COLUMNS FROM `aws_post_relation` [ RunTime:0.000673s ]
SELECT COUNT(*) AS think_count FROM `aws_post_relation` WHERE `item_type` IN ('question','article','') LIMIT 1 [ RunTime:0.000445s ]
SELECT `id`,`item_id`,`item_type`,`uid` FROM `aws_post_relation` WHERE `item_type` IN ('question','article','') ORDER BY RAND(),`is_recommend` DESC LIMIT 75,15 [ RunTime:0.000559s ]
SHOW FULL COLUMNS FROM `aws_question` [ RunTime:0.000843s ]
SELECT `last_answer` FROM `aws_question` WHERE `id` IN (4,29,11,8) AND `status` = 1 [ RunTime:0.000409s ]
SHOW FULL COLUMNS FROM `aws_answer` [ RunTime:0.000590s ]
SELECT * FROM `aws_answer` WHERE `status` = 1 AND `id` IN (24,9,16,0) [ RunTime:0.000434s ]
SHOW FULL COLUMNS FROM `aws_topic_relation` [ RunTime:0.000491s ]
SELECT `topic_id`,`item_type`,`item_id` FROM `aws_topic_relation` WHERE `item_id` IN (4,29,11,8) AND `item_type` = 'question' [ RunTime:0.000373s ]
SHOW FULL COLUMNS FROM `aws_topic` [ RunTime:0.000493s ]
SELECT * FROM `aws_topic` WHERE `id` IN (13,47,48,49,56,18) [ RunTime:0.000363s ]
SELECT * FROM `aws_question` WHERE `status` = 1 AND `id` IN (4,29,11,8) [ RunTime:0.000747s ]
SELECT `topic_id`,`item_type`,`item_id` FROM `aws_topic_relation` WHERE `item_id` IN (55,21,5,53,61,28,46,45,31,24,73) AND `item_type` = 'article' [ RunTime:0.000634s ]
SELECT * FROM `aws_topic` WHERE `id` IN (16,32,34,5,38,42,23,43,44,45,46,40,26,65,57,2,66,67,72,55,74,27) [ RunTime:0.000602s ]
SHOW FULL COLUMNS FROM `aws_article` [ RunTime:0.000793s ]
SELECT * FROM `aws_article` WHERE `status` = 1 AND `id` IN (55,21,5,53,61,28,46,45,31,24,73) [ RunTime:0.012841s ]
SHOW FULL COLUMNS FROM `aws_users` [ RunTime:0.002355s ]
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 (65,28,5,1,12,90,10,9,36) [ RunTime:0.000543s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 1 LIMIT 1 [ RunTime:0.000243s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 1 LIMIT 1 [ RunTime:0.000211s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 5 LIMIT 1 [ RunTime:0.000208s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 5 LIMIT 1 [ RunTime:0.000197s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 9 LIMIT 1 [ RunTime:0.000203s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 9 LIMIT 1 [ RunTime:0.000193s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 10 LIMIT 1 [ RunTime:0.000237s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 10 LIMIT 1 [ RunTime:0.000195s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 12 LIMIT 1 [ RunTime:0.000215s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 12 LIMIT 1 [ RunTime:0.000199s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 28 LIMIT 1 [ RunTime:0.000198s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 28 LIMIT 1 [ RunTime:0.000201s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 36 LIMIT 1 [ RunTime:0.000198s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 36 LIMIT 1 [ RunTime:0.000205s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 65 LIMIT 1 [ RunTime:0.000203s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 65 LIMIT 1 [ RunTime:0.000191s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 90 LIMIT 1 [ RunTime:0.000204s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 90 LIMIT 1 [ RunTime:0.000197s ]
SHOW FULL COLUMNS FROM `aws_article_vote` [ RunTime:0.000489s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 55 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000274s ]
SHOW FULL COLUMNS FROM `aws_question_vote` [ RunTime:0.000464s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 24 AND `item_type` = 'answer' LIMIT 1 [ RunTime:0.000264s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 4 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000252s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 29 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000262s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 16 AND `item_type` = 'answer' LIMIT 1 [ RunTime:0.000238s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 11 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000257s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 9 AND `item_type` = 'answer' LIMIT 1 [ RunTime:0.000232s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 8 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000240s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 21 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000273s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 5 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000235s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 53 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000274s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 61 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000253s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 28 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000467s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 46 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000281s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 45 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000263s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 31 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000295s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 24 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000262s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 73 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000320s ]
SHOW FULL COLUMNS FROM `aws_announce` [ RunTime:0.000621s ]
SELECT * FROM `aws_announce` WHERE `status` = 1 ORDER BY `set_top_time` DESC,`sort` DESC LIMIT 0,3 [ RunTime:0.000297s ]
SELECT COUNT(*) AS think_count FROM `aws_topic` WHERE `status` = 1 AND `discuss_month` > 0 LIMIT 1 [ RunTime:0.000408s ]
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:0.000692s ]
SHOW FULL COLUMNS FROM `aws_topic_focus` [ RunTime:0.000455s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 84 LIMIT 1 [ RunTime:0.000304s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 65 LIMIT 1 [ RunTime:0.000230s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 13 LIMIT 1 [ RunTime:0.000213s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 27 LIMIT 1 [ RunTime:0.000238s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 85 LIMIT 1 [ RunTime:0.000221s ]
SHOW FULL COLUMNS FROM `aws_column` [ RunTime:0.000478s ]
SELECT * FROM `aws_column` WHERE `verify` = 1 ORDER BY RAND(),`view_count` DESC LIMIT 0,5 [ RunTime:0.000472s ]
SELECT * FROM `aws_users` WHERE `uid` <> 0 AND `status` = 1 AND `reputation` > 0 ORDER BY RAND(),`reputation` DESC,`answer_count` DESC LIMIT 5 [ RunTime:0.001007s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 32 LIMIT 1 [ RunTime:0.000235s ]
SHOW FULL COLUMNS FROM `aws_users_follow` [ RunTime:0.000411s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 32 LIMIT 1 [ RunTime:0.000232s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 15 LIMIT 1 [ RunTime:0.000205s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 15 LIMIT 1 [ RunTime:0.000226s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 65 LIMIT 1 [ RunTime:0.000208s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 44 LIMIT 1 [ RunTime:0.000213s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 44 LIMIT 1 [ RunTime:0.000211s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 5 LIMIT 1 [ RunTime:0.000202s ]

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