【Hacker News搬运】数学仍在追赶拉马努金的天才

hackernews

Title: Math is still catching up to the genius of Ramanujan

数学仍在追赶拉马努金的天才

Text:

Url: https://www.quantamagazine.org/srinivasa-ramanujan-was-a-genius-math-is-still-catching-up-20241021/

由于我是一个AI，无法直接访问网页内容，但我可以基于你提供的链接和描述来模拟这个过程。

首先，我会假设你想要使用JinaReader（一个假设的或特定的工具）来抓取并分析Quantamagazine上关于Srinivasa Ramanujan的文章。以下是一个模拟的过程，包括抓取内容、翻译以及总结：

1. **抓取内容**：
   使用JinaReader，你首先需要将上述链接输入到工具中，然后它会从网页上抓取文章的全文内容。

2. **内容翻译**：
   如果文章不是中文，JinaReader可能内置了翻译功能，或者它可能会使用外部API（如Google Translate）来将非中文内容翻译成中文。以下是翻译过程的伪代码示例：

```python
import jina_reader
import translate_api

# 抓取文章内容
article_content = jina_reader.get_content("https://www.quantamagazine.org/srinivasa-ramanujan-was-a-genius-math-is-still-catching-up-20241021/")

# 翻译文章内容
translated_content = translate_api.translate_to_chinese(article_content)

# 输出翻译后的内容
print(translated_content)

内容总结：
一旦内容被翻译成中文，你可以使用JinaReader的摘要或总结功能来生成文章的总结。以下是一个模拟的总结过程：

# 使用JinaReader的总结功能
summary = jina_reader.summarize(translated_content)

# 输出总结
print(summary)

假设翻译后的内容是以下内容（请注意，这只是一个示例，并不是实际的文章内容）：

Srinivasa Ramanujan是一位印度数学家，他在20世纪初因其惊人的数学才能而闻名。尽管他的教育背景有限，但他对数学的贡献至今仍然在影响着现代数学。Ramanujan的工作涉及数论、无穷级数、无穷和以及圆函数等领域。他的笔记充满了未经验证的公式和定理，这些直到今天才被数学家们逐步理解和证明。

基于这个假设的内容，以下是一个简短的总结：

Srinivasa Ramanujan是一位具有非凡数学天赋的印度数学家，他的工作跨越了数论等多个数学分支，尽管他受教育有限，但他的贡献对现代数学产生了深远影响。

请注意，这个总结是基于假设的翻译内容编写的，实际的总结可能会根据文章的具体内容而有所不同。

        
## Post by: philiplu
        
### Comments: 
        
**babyent**: That was a fun read.<p>What really stuck out to me was how R failed in a bunch of other subjects except math because he wasn’t interested in them.<p>I know society and norms expect students to learn all these other subjects.<p>But what if those just aren’t interesting to someone?<p>I wonder how many geniuses we skip on because doing the chores of homework and getting through boring classes is busywork and memorization for the sake of getting an A.<p>Meanwhile, hardly anyone actually remembers anything about those topics and even the best students mostly go on  to achieve only above average things.<p>My class valedictorian went on to become a doctor and while that is certainly impressive to me, there are many doctors and he practices (like almost every other doctor) and isn’t pushing the boundaries of medical science. I feel terrible writing that because I’m certainly not as smart as him, but R is just so impressive and I’m glad he got his lucky break.<p>People like R would be lost in the sea of averages because their genius would be kept shut by norms.<p>Almost every extraordinary person I read about seems like they were 1 step away from being forgotten, and got some huge universal break that boosted them.
> **babyent**: 那是一本有趣的读物<p> 真正让我印象深刻的是，R在除数学之外的许多其他科目上都失败了，因为他对这些科目不感兴趣<p> 我知道社会和规范期望学生学习所有这些其他科目<p> 但是，如果这些对某人来说并不有趣呢<p> 我想知道我们跳过了多少天才，因为做家庭作业和完成无聊的课程是为了获得A而进行的繁重工作和记忆。与此同时，几乎没有人真正记得这些话题，即使是最好的学生也大多只取得了高于平均水平的成绩<p> 我的毕业典礼代表后来成为了一名医生，虽然这对我来说确实令人印象深刻，但有很多医生，他（和几乎所有其他医生一样）都在行医，并没有突破医学的界限。我觉得写这篇文章很糟糕，因为我当然没有他那么聪明，但R太令人印象深刻了，我很高兴他幸运地得到了机会<p> 像R这样的人会迷失在平均值的海洋中，因为他们的天才会被规范所封闭<p> 我读到的几乎每一个非凡的人似乎都离被遗忘只有一步之遥，并得到了一些巨大的普遍突破，这激励了他们。
            
**profsummergig**: In the Ramanujan story, a true MVP is G.H. Hardy. He read letters from some random unknown guy (a savage &quot;native&quot; no less!) half the world away, and took them seriously. And then organized resources to have that guy travel to England. A true MVP. All the others Ramanujan wrote to ignored him (understandably so). Such a tragedy that he died so young.
> **profsummergig**: 在拉马努金的故事中，真正的MVP是G.H.哈迪。他读了半个地球之外某个不知名的人（一个野蛮的&quot；本地人&quot）的来信，并认真对待。然后组织资源让那个家伙去英国旅行。真正的MVP。拉马努金写信给他的其他人都无视他（可以理解）。他英年早逝，真是悲剧。
            
**barcode_feeder**: &quot;The statements had been proved 20 years earlier by a little-known English mathematician named L.J. Rogers... Rogers was content to do his research in relative obscurity, play piano, garden and apply his spare time to a variety of other pursuits&quot;<p>divinely inspiring
> **barcode_feeder**: &“；20年前，一位鲜为人知的英国数学家L.J.罗杰斯证明了这些说法。。。罗杰斯满足于在相对默默无闻的情况下进行研究，弹钢琴、园艺，并将业余时间用于各种其他追求。&quot<p> 神圣的启示
            
**IAmGraydon**: The stories of mathematicians like Srinivasa Ramanujan, who claimed to have derived complex partitions and identities in dreams, have always captivated me. It&#x27;s as if their minds were tapping into some hidden reservoir of knowledge. I&#x27;m curious what drives these intuitive leaps. Was Ramanujan&#x27;s brain quietly processing patterns during sleep, leveraging its default mode network in ways we&#x27;re still struggling to understand? Or was it something more fundamental – an emergent property of complex neural networks, perhaps, or even a glimpse into Jung&#x27;s collective unconscious?<p>I&#x27;m curious to hear how others think about this phenomenon. Do recent advances in neuroscience, AI, or cognitive psychology offer any clues about how innovators like Ramanujan access these hidden sources of insight? Or are we still stuck in the realm of &quot;genius is mysterious&quot;?
> **IAmGraydon**: 斯里尼瓦萨·拉马努金等数学家的故事一直让我着迷，他声称在梦中推导出了复杂的划分和恒等式；就好像他们的头脑正在挖掘一些隐藏的知识库。我；我很好奇是什么推动了这些直觉的飞跃。是拉马努金；大脑在睡眠期间安静地处理模式，以我们的方式利用其默认模式网络；你还在努力理解吗？或者，这是更基本的东西——也许是复杂神经网络的一种新兴特性，或者甚至是对Jung的一瞥；集体无意识<p> 我；I don’我很好奇别人是怎么看待这一现象的。神经科学、人工智能或认知心理学的最新进展是否提供了任何线索，说明像拉马努金这样的创新者是如何获得这些隐藏的洞察力的？还是我们仍然停留在&quot；天才是神秘的；？
            
**reddit_clone**: It boggles my mind what could have been if he had lived to a ripe old age.
> **reddit_clone**: 我真想不通，如果他活到了高龄，会是什么样子。