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话说今天 $\pi$ 日怎么论坛也那么冷清

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kuing Posted at 2014-3-14 18:22:37 |Read mode
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青青子衿 Posted at 2014-3-15 11:10:28
回复 1# kuing
1879年3月14日 爱因斯坦诞辰
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其妙 Posted at 2014-3-15 21:45:33
,粉丝群说的(谐音)造成的?

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 Author| kuing Posted at 2014-3-15 22:03:34
回复 3# 其妙

没懂……

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其妙 Posted at 2014-3-15 22:35:05
$\pi$日的谐音

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realnumber Posted at 2014-3-16 08:40:17
pie 一个意思是馅饼

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青青子衿 Posted at 2022-3-14 08:41:43
Last edited by 青青子衿 at 2024-6-10 21:05:00\begin{align*}
\dfrac{1}{\pi}&=\sum_{n=0}^{+\infty\,}\frac{\left(1103+26390n\right)\left(\left(2n-1\right)!!\right)\left(\left(4n-1\right)!!\right)}{99^{4n+2}2^{5n-\frac{3}{2}}\left(n!\right)^{3}}\\
&=
\sum_{n=0}^{+\infty\,}\frac{\left(1103+26390n\right)\cdot\frac{\left(2n\right)!}{2^{n}\left(n!\right)}\cdot\frac{\left(4n\right)!}{4^{n}\left(\left(2n\right)!\right)}}{99^{4n+2}2^{5n-\frac{3}{2}}\left(n!\right)^{3}}\\
&=\sum_{n=0}^{+\infty\,}\frac{\left(1103+26390n\right)\left(\left(4n\right)!\right)}{99^{4n+2}2^{8n-\frac{3}{2}}\left(n!\right)^{4}}
\end{align*}
拉马努金有关pi的无穷和

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hbghlyj Posted at 2022-12-25 07:36:54
π.com/是可以访问的

图片右上角有一个公式:$$\fracπ4=\sum_{n=1}^{\infty} \arctan \left(\frac{1}{2 n^{2}}\right)$$
证明: 注意到$$\arctan \left(\frac{1}{2 n^{2}}\right)=\arctan \left(\frac{\frac{1}{2 n-1}-\frac{1}{2 n+1}}{1+\frac{1}{2 n-1} \frac{1}{2 n+1}}\right)=\arctan \left(\frac{1}{2 n-1}\right)-\arctan \left(\frac{1}{2 n+1}\right)$$对$n$求和即可.

网页的浅色隐藏文字

鼠标悬停时会出现Dead Kennedys乐队的标志:

根据Reddit: InternetMysteries考证, 这些文字是Dead Kennedys乐队的作品Straight A’s的歌词:
sixteen on the honor roll i wish that i was dead
hate my parents i got zits and bruises round my head pressure's on to get good grades so i can be like them
do my homework all the time i can't go out just then people they ain't friends at all they tease and suck me dry
yell at me when i fuck up and party while i cry i look so big on paper i feel so fucking small wanna die and you don't care just stride on down the hall
suicide suicide read the paper wonder why turn the light out then you cry it's your fault you made me die
touch me won't you touch me now so frozen i can't love when i was born my mama cried and picked me up with gloves
girls they kick me in the eye want answers to the tests when they get them they drive off and leave me home to rest
hold my head make me warm tell me i am loved give me hope let me cry make me feel give me touch the window's broken bleeding screaming lying in the hall
i'm gone no one remembers me a picture on the wall "he was such a bright boy the future in his hands" or a spineless human pinball shot around by your demands
suicide suicide going to sleep and when i die you'll look up and realize then look down and wipe your eyes then go back to your stupid lives aw shit

通过DeepL.com翻译:
荣誉榜上的第十六名,我希望我已经死了。
憎恨我的父母 我的头上有青春痘和瘀伤 压力很大,要取得好成绩,这样我才能像他们一样
我一直在做功课,我不能出去,因为他们根本就不是朋友,他们嘲笑我,把我吸干。
当我犯错时,他们对我大吼大叫,在我哭泣时,他们还在聚会 我在纸上看起来那么大,但我觉得自己很渺小,想死,但你不在乎,只是大步走到大厅里
自杀 自杀 读试卷 想知道为什么要关灯 然后你哭了 这是你的错 你让我死了
触摸我,你怎么不触摸我,现在如此冻结,我不能爱,当我出生时,我的妈妈哭了,用手套把我抱起来。
姑娘们,他们踢我的眼睛,想要得到测试的答案,当他们得到答案时,他们开车离开,让我在家休息。
抱着我的头让我温暖 告诉我我是被爱的 给我希望 让我哭 让我感觉 给我触摸 窗户破了 流血 尖叫着躺在大厅里
我走了,没有人记得我,墙上的照片,"他是如此聪明的男孩,未来在他的手中",或者是一个没有骨气的弹球人,遵照你的要求弹来弹去。
自杀自杀去睡觉,当我死后,你们会抬起头来,仿佛意识到什么,然后低下头,擦拭你们的眼睛,然后回到你们愚蠢的生活中去。

现在还能在genius.com听到这首歌.

Reddit上@Mickey0110评论道:
...As of the hidden note it’s probably just some teenagers website and he was just venting on the website with the hidden note. Maybe someone can find out when the website was made? Dude is probably in his 20s or 30s by now.
至于隐藏的笔记,它可能只是某个青少年的网站,他只是用隐藏的笔记在网站上发泄。也许有人可以找出该网站是何时制作的?老兄现在可能已是 20 或 30 多岁了。

在Firefox地址栏输入$π$会被转换为 xn--1xa 这是$π$的Punycode
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edward076923 Posted at 2023-1-12 07:01:19
最近$\pi$节都很冷清

手机版Mobile version|Leisure Math Forum

2025-4-20 22:14 GMT+8

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