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- 1-1+1-1+1-1+1. . . 这个无穷数列的值是什么？如何证明？ - 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。
- 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。
- 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？
- 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) '=\dfrac {1} {n} 。 我们有 \ln n-\ln \left ( n-1\right) >\dfrac {1} {n} 我们累加 \sum \left ( \ln n-\ln \left ( n-1\right
- 知乎 - 知乎
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。
- Formal proof for $ (-1) \times (-1) = 1$ - Mathematics Stack Exchange
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?
- False Proof of 1=-1 - Mathematics Stack Exchange
1 Indeed what you are proving is that in the complex numbers you don't have (in general) $$\sqrt {xy}=\sqrt {x}\sqrt {y}$$ Because you find a counterexample
- 研究称午睡时间超过 1 小时死亡风险增加 30%，这是真的吗？午睡怎么睡、睡多久才是最科学的？ - 知乎
这张图展示了午睡超过1小时的风险比HR约为1 3左右，这里的 HR≈1 3就对应着风险增加约30%。 不过这个30%可是有大前提的！ 只有对于那些晚上已经能睡够6个小时以上的人来说，如果白天还经常午睡，反而会增加心血管疾病和死亡的风险。
- 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 considered a prime; but I think that group theory was the other force
- 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 example The complex numbers are a field This means that every non-$0$ element has a multiplicative inverse, and that inverse is unique While $1 i = i^ {-1}$ is true (pretty much by definition
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