2013年1月15日 · Possible Duplicate: How do I convince someone that 1 + 1 = 2 1 + 1 = 2 may not necessarily be true? I once read that some mathematicians provided a very length proof of 1 + …

(n + 1)3 −n3 = 3n2 + 3n + 1 (n + 1) 3 − n 3 = 3 n 2 + 3 n + 1 - so it is clear that the n2 n 2 terms can be added (with some lower-order terms attached) by adding the differences of cubes, …

2019年11月28日 · Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and …

2015年8月28日 · What is the result of: summation from one, two, four, eight until n power of two? Thank you!

2017年4月2日 · The formula n(n − 1)/2 n (n − 1) / 2 for the number of pairs you can form from an n n element set has many derivations, even many on this site. One is to imagine a room with n …

2014年10月6日 · How do you prove the following: Pythagorean trigonometric identity. For all $\theta\in [0,2\pi]$ it holds that $$ \sin^2\theta+\cos^2\theta=1.$$ I'm curious to know of the …

This sum is called Hn H n the n n th"harmonic number" and has no known closed form.

2023年3月3日 · For x <−a and x> a, the substitution x →a2/x gives you the same integral negated, but now with x ∈ (−a, a). Then you just have to show that − arctan(a/x) and …

2020年4月28日 · 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 …

I think that it is worth pointing out that, strictly speaking, explaining “ 20 2 0 equals 1 1 ” is not really what people do in this situation. The best we can do is to convince a child of the …