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史上最短的论文有多短？

2016-12-09 博科园 博科园

史上最短的论文

你知道史上发表过最短的论文有多短吗？今天我就来扒一扒那些短的不可思议，却很重要的学术论文。我们先从数学论文开始。数学论文通常给我们的印象都是充满了繁琐的计算结果，比如1995年怀尔斯证明了费马大定理的那篇论文足足有108页长。但情况不总如此。1966年，Lander 和 Parkin 写了一篇关于欧拉猜想（跟费马大定理相关）的论文，对于正在写论文的人来说，这简直就是一篇梦想中的论文：它正确的回答了

你知道史上发表过最短的论文有多短吗？


今天我就来扒一扒那些短的不可思议，却很重要的学术论文。

我们先从数学论文开始。

数学论文通常给我们的印象都是充满了繁琐的计算结果，比如1995年怀尔斯证明了费马大定理的那篇论文足足有108页长。

但情况不总如此。

1966年，Lander 和 Parkin 写了一篇关于欧拉猜想（跟费马大定理相关）的论文，对于正在写论文的人来说，这简直就是一篇梦想中的论文：它正确的回答了一个有趣又重要的问题，但又非常容易理解，而且只有两句话长【文献1】。

史上最短的论文有多短？

欧拉猜想是说对于每个大于2的整数n，任何n-1个正整数的n次幂的和都不是某正整数的n次幂。但是这篇论文只用了两句话就推翻了该猜想，他们找到了n=5的反例。

很漂亮对不对？那还会有比这更短的论文吗？答案是有的。

2005年的时候，John Conway和Alexander Soifer递交了一篇有史以来最短的数学论文【文献2】。

该论文只有两个字，以及两个图，完成了他们所需要的证明。

史上最短的论文有多短？

编辑收到他们的论文的时候表示很吃惊，立马要求他们能不能多加一两行的解释就太棒了。当然，两位作者表示不需要更多的解释，并且极力的说服了编辑。

现在，你认为有没有可能写出比两个字还少但同时又有意义的论文吗？或许不行，但是还真有这样的论文发表（跳出数学范围），比如下面这篇【文献3】：

史上最短的论文有多短？

论文下方的点评也是亮点。

无独有偶，除了摘要，下面这篇的内容也是零个字：

史上最短的论文有多短？

这篇论文最初是提交给《自然化学》的，不过最终没有发表在该期刊。但是编辑又表示非常喜欢，因此发表在了他们的博客上，并且制造了PDF格式【文献4】。最终，这篇论文在今年还是发表在一个德国的期刊《Chemie in unserer Zeit》上。虽然是德国期刊，但是不用担心，即使是德文你也可以通读内容。

除了这些，我们再看几篇论文的摘要（Abstract）。通常摘要就是比较短的，但是下面这几篇的摘要，你看看就知道了：

史上最短的论文有多短？

【文献5】

史上最短的论文有多短？

【文献6】

史上最短的论文有多短？

【文献7】

“Probably not.” , “There are none”, “Yes.”！！！！

我决定了，明天找导师聊一聊我的论文。


原始出处：

[1]Lander, L. J., & Parkin, T. R. (1966) Bulletin of the American Mathematical Society, 72(6), 1079.

[2]Conway, J., Soifer, A. (2005). The American Mathematical Monthly: The Official Journal of the Mathematical Association of America.

[3]Upper, D. (1974) Journal of Applied Behavior Analysis, 7(3), 497–497.

[4]https://paperpile.com/blog/files/Goldberg-2014.pdf

[5]Berry, M. V., Brunner, N., Popescu, S., & Shukla, P. (2011) Journal of Physics A: Mathematical and Theoretical, 44, 492001.

[6]Doyle J. C. (1978) IEEE Transactions on Automatic Control, Vol. AC-23, No.4

[7]Gardner, J. K. & Knopoff L. (1974) Bulletin of the Seismological Society of America, 64(5) 1363-1367

评论区 (8)
#插入话题
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    2017-04-08 heli0118

    #最短的论文#

    0

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    2016-12-09 huangzh898

    这论文也太短了吧！

    0

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    2016-12-09 西瓜为什么这么红

    LFY加油。

    0

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    2016-12-09 Anima

    涨知识

    0

  5. [GetPortalCommentsPageByObjectIdResponse(id=2041213, encodeId=29892041213ed, content=<a href='/topic/show?id=501c605167f' target=_blank style='color:#2F92EE;'>#最短的论文#</a>, beContent=null, objectType=article, channel=null, level=null, likeNumber=57, replyNumber=0, topicName=null, topicId=null, topicList=[TopicDto(id=60516, encryptionId=501c605167f, topicName=最短的论文)], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=21015, createdName=heli0118, createdTime=Sat Apr 08 15:08:00 CST 2017, time=2017-04-08, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=161470, encodeId=ab561614e064, content=这论文也太短了吧！, beContent=null, objectType=article, channel=null, level=null, likeNumber=99, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=https://img.medsci.cn/20230812/e93037ddfed9425fb0316dc3e904f2f4/870c0a4383ef42ef803173fea0339be3.jpg, createdBy=27ba1551982, createdName=huangzh898, createdTime=Fri Dec 09 15:05:47 CST 2016, time=2016-12-09, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=161469, encodeId=5cd916146975, content=LFY加油。, beContent=null, objectType=article, channel=null, level=null, likeNumber=80, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=http://cacheapi.medsci.cn/resource/upload/20161209/IMG584A58442A1782747.jpg, createdBy=78fd1637273, createdName=西瓜为什么这么红, createdTime=Fri Dec 09 15:03:55 CST 2016, time=2016-12-09, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=161468, encodeId=2422161468e9, content=涨知识, beContent=null, objectType=article, channel=null, level=null, likeNumber=95, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=http://cacheapi.medsci.cn/resource/upload/20160807/IMG57A72B38A8C787546.jpg, createdBy=52b31714117, createdName=Anima, createdTime=Fri Dec 09 15:01:31 CST 2016, time=2016-12-09, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=161419, encodeId=75c816141913, content=第一次见。, beContent=null, objectType=article, channel=null, level=null, likeNumber=110, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=http://cacheapi.medsci.cn/resource/upload/20160529/IMG574A6B851C0291840.jpg, createdBy=cb1b1723481, createdName=stomach, createdTime=Fri Dec 09 11:28:08 CST 2016, time=2016-12-09, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=161401, encodeId=029716140143, content=严谨的搞笑精神, beContent=null, objectType=article, channel=null, level=null, likeNumber=1, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=https://wx.qlogo.cn/mmopen/Q3auHgzwzM5rqTiaMSVSkFAupcTECOTdcVRmJQXbibJoicv5ibhcpa0vj5MGmac8wlPjuGnJISZGtOnC7rW0gbLuSE7iaEvAn0CC52ZhnRLdxtlQ/0, createdBy=1e291737907, createdName=1df01bccm39(暂无匿称), createdTime=Fri Dec 09 10:41:36 CST 2016, time=2016-12-09, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=161389, encodeId=f26e16138909, content=我去问问science收不收。, beContent=null, objectType=article, channel=null, level=null, likeNumber=73, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=/v1.0.0/img/user_icon.png, createdBy=2dd71722896, createdName=studylzc, createdTime=Fri Dec 09 09:21:15 CST 2016, time=2016-12-09, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=161388, encodeId=7d09161388d0, content=文章无长短, beContent=null, objectType=article, channel=null, level=null, likeNumber=86, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=62d381629, createdName=yafeiliutjh, createdTime=Fri Dec 09 09:20:31 CST 2016, time=2016-12-09, status=1, ipAttribution=)]
    2016-12-09 stomach

    第一次见。

    0

  6. [GetPortalCommentsPageByObjectIdResponse(id=2041213, encodeId=29892041213ed, content=<a href='/topic/show?id=501c605167f' target=_blank style='color:#2F92EE;'>#最短的论文#</a>, beContent=null, objectType=article, channel=null, level=null, likeNumber=57, replyNumber=0, topicName=null, topicId=null, topicList=[TopicDto(id=60516, encryptionId=501c605167f, topicName=最短的论文)], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=21015, createdName=heli0118, createdTime=Sat Apr 08 15:08:00 CST 2017, time=2017-04-08, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=161470, encodeId=ab561614e064, content=这论文也太短了吧！, beContent=null, objectType=article, channel=null, level=null, likeNumber=99, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=https://img.medsci.cn/20230812/e93037ddfed9425fb0316dc3e904f2f4/870c0a4383ef42ef803173fea0339be3.jpg, createdBy=27ba1551982, createdName=huangzh898, createdTime=Fri Dec 09 15:05:47 CST 2016, time=2016-12-09, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=161469, encodeId=5cd916146975, content=LFY加油。, beContent=null, objectType=article, channel=null, level=null, likeNumber=80, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=http://cacheapi.medsci.cn/resource/upload/20161209/IMG584A58442A1782747.jpg, createdBy=78fd1637273, createdName=西瓜为什么这么红, createdTime=Fri Dec 09 15:03:55 CST 2016, time=2016-12-09, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=161468, encodeId=2422161468e9, content=涨知识, beContent=null, objectType=article, channel=null, level=null, likeNumber=95, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=http://cacheapi.medsci.cn/resource/upload/20160807/IMG57A72B38A8C787546.jpg, createdBy=52b31714117, createdName=Anima, createdTime=Fri Dec 09 15:01:31 CST 2016, time=2016-12-09, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=161419, encodeId=75c816141913, content=第一次见。, beContent=null, objectType=article, channel=null, level=null, likeNumber=110, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=http://cacheapi.medsci.cn/resource/upload/20160529/IMG574A6B851C0291840.jpg, createdBy=cb1b1723481, createdName=stomach, createdTime=Fri Dec 09 11:28:08 CST 2016, time=2016-12-09, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=161401, encodeId=029716140143, content=严谨的搞笑精神, beContent=null, objectType=article, channel=null, level=null, likeNumber=1, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=https://wx.qlogo.cn/mmopen/Q3auHgzwzM5rqTiaMSVSkFAupcTECOTdcVRmJQXbibJoicv5ibhcpa0vj5MGmac8wlPjuGnJISZGtOnC7rW0gbLuSE7iaEvAn0CC52ZhnRLdxtlQ/0, createdBy=1e291737907, createdName=1df01bccm39(暂无匿称), createdTime=Fri Dec 09 10:41:36 CST 2016, time=2016-12-09, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=161389, encodeId=f26e16138909, content=我去问问science收不收。, beContent=null, objectType=article, channel=null, level=null, likeNumber=73, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=/v1.0.0/img/user_icon.png, createdBy=2dd71722896, createdName=studylzc, createdTime=Fri Dec 09 09:21:15 CST 2016, time=2016-12-09, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=161388, encodeId=7d09161388d0, content=文章无长短, beContent=null, objectType=article, channel=null, level=null, likeNumber=86, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=62d381629, createdName=yafeiliutjh, createdTime=Fri Dec 09 09:20:31 CST 2016, time=2016-12-09, status=1, ipAttribution=)]
    2016-12-09 1df01bccm39(暂无匿称)

    严谨的搞笑精神

    0

  7. [GetPortalCommentsPageByObjectIdResponse(id=2041213, encodeId=29892041213ed, content=<a href='/topic/show?id=501c605167f' target=_blank style='color:#2F92EE;'>#最短的论文#</a>, beContent=null, objectType=article, channel=null, level=null, likeNumber=57, replyNumber=0, topicName=null, topicId=null, topicList=[TopicDto(id=60516, encryptionId=501c605167f, topicName=最短的论文)], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=21015, createdName=heli0118, createdTime=Sat Apr 08 15:08:00 CST 2017, time=2017-04-08, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=161470, encodeId=ab561614e064, content=这论文也太短了吧！, beContent=null, objectType=article, channel=null, level=null, likeNumber=99, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=https://img.medsci.cn/20230812/e93037ddfed9425fb0316dc3e904f2f4/870c0a4383ef42ef803173fea0339be3.jpg, createdBy=27ba1551982, createdName=huangzh898, createdTime=Fri Dec 09 15:05:47 CST 2016, time=2016-12-09, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=161469, encodeId=5cd916146975, content=LFY加油。, beContent=null, objectType=article, channel=null, level=null, likeNumber=80, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=http://cacheapi.medsci.cn/resource/upload/20161209/IMG584A58442A1782747.jpg, createdBy=78fd1637273, createdName=西瓜为什么这么红, createdTime=Fri Dec 09 15:03:55 CST 2016, time=2016-12-09, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=161468, encodeId=2422161468e9, content=涨知识, beContent=null, objectType=article, channel=null, level=null, likeNumber=95, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=http://cacheapi.medsci.cn/resource/upload/20160807/IMG57A72B38A8C787546.jpg, createdBy=52b31714117, createdName=Anima, createdTime=Fri Dec 09 15:01:31 CST 2016, time=2016-12-09, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=161419, encodeId=75c816141913, content=第一次见。, beContent=null, objectType=article, channel=null, level=null, likeNumber=110, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=http://cacheapi.medsci.cn/resource/upload/20160529/IMG574A6B851C0291840.jpg, createdBy=cb1b1723481, createdName=stomach, createdTime=Fri Dec 09 11:28:08 CST 2016, time=2016-12-09, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=161401, encodeId=029716140143, content=严谨的搞笑精神, beContent=null, objectType=article, channel=null, level=null, likeNumber=1, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=https://wx.qlogo.cn/mmopen/Q3auHgzwzM5rqTiaMSVSkFAupcTECOTdcVRmJQXbibJoicv5ibhcpa0vj5MGmac8wlPjuGnJISZGtOnC7rW0gbLuSE7iaEvAn0CC52ZhnRLdxtlQ/0, createdBy=1e291737907, createdName=1df01bccm39(暂无匿称), createdTime=Fri Dec 09 10:41:36 CST 2016, time=2016-12-09, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=161389, encodeId=f26e16138909, content=我去问问science收不收。, beContent=null, objectType=article, channel=null, level=null, likeNumber=73, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=/v1.0.0/img/user_icon.png, createdBy=2dd71722896, createdName=studylzc, createdTime=Fri Dec 09 09:21:15 CST 2016, time=2016-12-09, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=161388, encodeId=7d09161388d0, content=文章无长短, beContent=null, objectType=article, channel=null, level=null, likeNumber=86, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=62d381629, createdName=yafeiliutjh, createdTime=Fri Dec 09 09:20:31 CST 2016, time=2016-12-09, status=1, ipAttribution=)]
    2016-12-09 studylzc

    我去问问science收不收。

    0

  8. [GetPortalCommentsPageByObjectIdResponse(id=2041213, encodeId=29892041213ed, content=<a href='/topic/show?id=501c605167f' target=_blank style='color:#2F92EE;'>#最短的论文#</a>, beContent=null, objectType=article, channel=null, level=null, likeNumber=57, replyNumber=0, topicName=null, topicId=null, topicList=[TopicDto(id=60516, encryptionId=501c605167f, topicName=最短的论文)], attachment=null, authenticateStatus=null, createdAvatar=null, createdBy=21015, createdName=heli0118, createdTime=Sat Apr 08 15:08:00 CST 2017, time=2017-04-08, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=161470, encodeId=ab561614e064, content=这论文也太短了吧！, beContent=null, objectType=article, channel=null, level=null, likeNumber=99, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=https://img.medsci.cn/20230812/e93037ddfed9425fb0316dc3e904f2f4/870c0a4383ef42ef803173fea0339be3.jpg, createdBy=27ba1551982, createdName=huangzh898, createdTime=Fri Dec 09 15:05:47 CST 2016, time=2016-12-09, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=161469, encodeId=5cd916146975, content=LFY加油。, beContent=null, objectType=article, channel=null, level=null, likeNumber=80, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=http://cacheapi.medsci.cn/resource/upload/20161209/IMG584A58442A1782747.jpg, createdBy=78fd1637273, createdName=西瓜为什么这么红, createdTime=Fri Dec 09 15:03:55 CST 2016, time=2016-12-09, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=161468, encodeId=2422161468e9, content=涨知识, beContent=null, objectType=article, channel=null, level=null, likeNumber=95, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=http://cacheapi.medsci.cn/resource/upload/20160807/IMG57A72B38A8C787546.jpg, createdBy=52b31714117, createdName=Anima, createdTime=Fri Dec 09 15:01:31 CST 2016, time=2016-12-09, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=161419, encodeId=75c816141913, content=第一次见。, beContent=null, objectType=article, channel=null, level=null, likeNumber=110, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=http://cacheapi.medsci.cn/resource/upload/20160529/IMG574A6B851C0291840.jpg, createdBy=cb1b1723481, createdName=stomach, createdTime=Fri Dec 09 11:28:08 CST 2016, time=2016-12-09, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=161401, encodeId=029716140143, content=严谨的搞笑精神, beContent=null, objectType=article, channel=null, level=null, likeNumber=1, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=https://wx.qlogo.cn/mmopen/Q3auHgzwzM5rqTiaMSVSkFAupcTECOTdcVRmJQXbibJoicv5ibhcpa0vj5MGmac8wlPjuGnJISZGtOnC7rW0gbLuSE7iaEvAn0CC52ZhnRLdxtlQ/0, createdBy=1e291737907, createdName=1df01bccm39(暂无匿称), createdTime=Fri Dec 09 10:41:36 CST 2016, time=2016-12-09, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=161389, encodeId=f26e16138909, content=我去问问science收不收。, beContent=null, objectType=article, channel=null, level=null, likeNumber=73, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=/v1.0.0/img/user_icon.png, createdBy=2dd71722896, createdName=studylzc, createdTime=Fri Dec 09 09:21:15 CST 2016, time=2016-12-09, status=1, ipAttribution=), GetPortalCommentsPageByObjectIdResponse(id=161388, encodeId=7d09161388d0, content=文章无长短, beContent=null, objectType=article, channel=null, level=null, likeNumber=86, replyNumber=0, topicName=null, topicId=null, topicList=[], attachment=null, authenticateStatus=null, createdAvatar=, createdBy=62d381629, createdName=yafeiliutjh, createdTime=Fri Dec 09 09:20:31 CST 2016, time=2016-12-09, status=1, ipAttribution=)]
    2016-12-09 yafeiliutjh

    文章无长短

    0