
Why is $1/i$ equal to $-i$? - Mathematics Stack Exchange
May 11, 2015 · While 1/i =i−1 1 / i = i 1 is true (pretty much by definition), if we have a value c c such that c ∗ i = 1 c ∗ i = 1 then c =i−1 c = i 1. This is because we know that inverses in the …
abstract algebra - Prove that 1+1=2 - Mathematics Stack Exchange
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 …
What is the value of $1^i$? - Mathematics Stack Exchange
Aug 30, 2010 · There are infinitely many possible values for $1^i$, corresponding to different branches of the complex logarithm. The confusing point here is that the formula $1^x = 1$ is …
If $A A^{-1} = I$, does that automatically imply $A^{-1} A = I$?
Mar 30, 2020 · A -1 A means that first we apply A transformation then we apply A -1 transformation. When we apply A transformation we reach some plane having some different …
Word,插入多级列表,但是改了1.1,第二章的2.1也变成1.1,随着 …
注1:【】代表软件中的功能文字 注2:同一台电脑,只需要设置一次,以后都可以直接使用 注3:如果觉得原先设置的格式不是自己想要的,可以继续点击【多级列表】——【定义新多级 …
factorial - Why does 0! = 1? - Mathematics Stack Exchange
Possible Duplicate: Prove 0! = 1 0! = 1 from first principles Why does 0! = 1 0! = 1? All I know of factorial is that x! x! is equal to the product of all the numbers that come before it. The product …
power series - How can we know the answer to 1-1+1-1+1 ...
The series does not converge, because as you observe, the partial sums $1,0,1,0,\ldots$ oscillate and do not approach a single limit. There are various ways to assign values to some divergent …
Formal proof for $ (-1) \times (-1) = 1$ - Mathematics Stack …
Jun 13, 2020 · 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
Aug 24, 2016 · False Proof of 1=-1 [duplicate] Ask Question Asked 9 years, 4 months ago Modified 9 years, 4 months ago
General term formula of series 1/1 + 1/2 + 1/3 ... +1/n
This sum is called $H_n$ the $n$th"harmonic number" and has no known closed form.