Jan 15, 2013 · 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 …

Apr 25, 2013 · The examples given with base 10 and 2 in the question are positional bases. In a positional base 1, you only got one digit, with no value: 0. All positions will have zero value, and you …

Generally the only reason one sees 1/0 as infinity is because some systems (incorrectly) output infinity when given dividing by zero.

Note that Proof 2 is pretty much the same as Proof 1 when written out in explicit detail, but I could not read Zagier's book because I cannot read German. I would like to know more approaches to this and …

Jul 12, 2016 · That actually makes sense to me now. Thank you for your assistance!

Note that $$\frac {1} {1+x}=\sum_ {n \ge 0} (-1)^nx^n$$ Integrating both sides gives you \begin {align} \ln (1+x) &=\sum_ {n \ge 0}\frac { (-1)^nx^ {n+1}} {n+1}\\ &=x ...

Mar 21, 2021 · In the book Short Calculus The author, in order to prove the taylor series for the arctangent, he presented the taylor expansion of $$\\frac{1}{1+x^2}$$ Which is (the one of the …

Thomson et al. provide a proof that $\lim_ {n\rightarrow \infty} \sqrt [n] {n}=1$ in this book (page 73). It has to do with using an inequality that relies on the binomial theorem: I have an alternat...

Oct 27, 2024 · 5.1声道的第一次使用，追溯到1976年，当时杜比实验室修改了Todd-AO 70毫米胶片上6个类比音轨的使用方式，但当时在电影《洛根的逃亡》中杜比实验室的光学矩阵编码系统中，没有使用 …

Jan 23, 2014 · How can calculate Laurent series for $$f(z)=1/ \\sin(z) $$ ?? I searched for it and found only the final result, is there a simple way to explain it ?