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知乎是一个中文互联网高质量问答社区和创作者聚集的原创内容平台，提供知识共享、互动交流和个人成长机会。
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如何定义什么是 1？ - 知乎
我们可以从数学上证明 1+1=2，但是如何定义 1 是什么。如果说是 0 的后继数，那又如何定义 0 呢？
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有问题，就会有答案 - 知乎
知乎，中文互联网高质量的问答社区和创作者聚集的原创内容平台，于 2011 年 1 月正式上线，以「让人们更好的分享知识、经验和见解，找到自己的解答」为品牌使命。
math.stackexchange.com
Why is $1^ {\infty}$ considered to be an indeterminate form
The reason why $1^\infty$ is indeterminate, is because what it really means intuitively is an approximation of the type $ (\sim 1)^ {\rm large \, number}$. And while $1$ to a large power is 1, a …
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1/1+1/2+1/3+1/4+……+1/n=？怎么个解法？ - 知乎
红线是n-1到n的割线，绿线是n处的切线 图像上显然，割线的斜率大于切线的斜率。 所以我们有割线的斜率 \dfrac {\ln \left ( n\right) -\ln \left ( n-1\right) } {n-\left ( n-1\right) } 大于切线的斜率 \left ( \ln n\right) …
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Formal proof for $ (-1) \times (-1) = 1$ - Mathematics Stack …
Is there a formal proof for $(-1) \\times (-1) = 1$? It's a fundamental formula not only in arithmetic but also in the whole of math. Is there a proof for it or is it just assumed?
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Why is $1$ not a prime number? - Mathematics Stack Exchange
50 actually 1 was considered a prime number until the beginning of 20th century. Unique factorization was a driving force beneath its changing of status, since it's formulation is quickier if 1 is not …
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智谱 GLM-5.1 面向所有 codingplan 用户开放，对开发者意味着什么？
短的结论：国产最强编程模型 昨晚智谱开放了GLM-5.1模型，我用了一会就感到惊喜，国模居然已经这么强了吗？ 多的不说直接开测： 一、火柴人游戏（自创提示词） prompt：帮我写一个html的格斗游 …
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Why is $1/i$ equal to $-i$? - Mathematics Stack Exchange
There are multiple ways of writing out a given complex number, or a number in general. Usually we reduce things to the "simplest" terms for display -- saying $0$ is a lot cleaner than saying $1-1$ for …
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为什么 1 不能被认为是质数？ - 知乎
m = p 1 a 1 p 2 a 2 p 3 a 3 p n a n . 什么意思呢？ 它表示这样一个结论：对于任意的一个整数，你都能把它因数分解，而且结果是唯一的。 举个例子：1001只能被分解成7×11×13，而且你再也找不到除 …