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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?
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。
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。
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 (7,11,13)外的一组质数,使它们的乘积是1001。 那么这个定理有什么用呢?
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?
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 ...
把1英寸分成8等分: 1 8 1 4 3 8 1 2 5 8 3 4 7 8 英寸。 This is an arithmetic sequence since there is a common difference between each term. In this case, adding 18 to the previous term in the sequence gives the next term. In other words, an=a1 d (n−1). Arithmetic Sequence: d=1 8
The formal moral of that example is that the value of 1i 1 i depends on the branch of the complex logarithm that you use to compute the power. You may already know that 1 =e0 2kiπ 1 = e 0 2 k i π for every integer k k, so there are many possible choices for log(1) log (1).
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.
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