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- What does $QAQ^{-1}$ actually mean? - Mathematics Stack Exchange
I'm self-learning Linear Algebra and have been trying to take a geometric approach to understand what matrices mean visually I've noticed this matrix product pop up repeatedly and can't seem to de
- 总是听说降雨量多少毫米这样，那想请问一下降雨量1毫米是什么概念？ - 知乎
实际上，天气预报中所说的雨量跟公众了解的积水深度并不能完全等同。 气象上一般把连续24小时，降水量50毫米以上的雨叫暴雨。 我们先以1毫米降水为例，看看小雨的威力。 首先，1毫米雨，看上去微乎其微，但如果降雨的范围（面积）很大，雨量也很可观。
- abstract algebra - Prove that 1+1=2 - Mathematics Stack Exchange
Possible Duplicate: How do I convince someone that $1+1=2$ may not necessarily be true? I once read that some mathematicians provided a very length proof of $1+1=2$ Can you think of some way to
- what is 1 - 1 2 + 1 3 - 1 4 + 1 5 - 1 6 + 1 7 - 1 8 +1 9
Please provide additional context, which ideally explains why the question is relevant to you and our community Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc
- 知乎 - 有问题，就会有答案
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。
- Series expansion: $\frac {1} { (1-x)^n}$ - Mathematics Stack Exchange
What is the expansion for $(1-x)^{-n}$? Could find only the expansion upto the power of $-3$ Is there some general formula?
- How can 1+1=3 be possible? - Mathematics Stack Exchange
So that's the "proof" The failure is at step 5, where you say that pq = pr p q = p r implies that q = r q = r; that's true only if you know p p is nonzero For instance 0 ⋅ 5 = 0 ⋅ 7 0 ⋅ 5 = 0 ⋅ 7, but that doesn't let you conclude that 5 = 7 5 = 7, because 0 0 has no multiplicative inverse In your case, the number b − a b − a is playing the role of p p, and because b b and a a
- Taylor series of $\\ln(1+x)$? - Mathematics Stack Exchange
We note that 1 1 + t = 1 − t + t2 − t3 + ⋯ if | t | <1 (infinite geometric series) Then we note that ln(1 + x) = ∫x 0 1 1 + t dt Then we integrate the right-hand side of (1) term by term We get ln(1 + x) = x − x2 2 + x3 3 − x4 4 + ⋯, precisely the same thing as what one gets by putting a = 0 in your expression
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