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- Formal proof for $ (-1) \times (-1) = 1$ - Mathematics Stack Exchange
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?
- Why is $1$ not a prime number? - Mathematics Stack Exchange
50 actually 1 was considered a prime number until the beginning of 20th century Unique factorization was a driving force beneath its changing of status, since it's formulation is quickier if 1 is not considered a prime; but I think that group theory was the other force
- 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?
- 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
- How can 1+1=3 be possible? - Mathematics Stack Exchange
Hi, welcome to Math SE! Can you show us the proof you're looking at? There are a lot of false proofs of this sort out there, typically involving division by 0, I would imagine that's probably the gimmick in the proof you've found Here's a helpful link to get a sense for how to use MathJax
- elementary number theory - Prove $ x^n-1= (x-1) (x^ {n-1}+x^ {n-2 . . .
13 So what I am trying to prove is for any real number x and natural number n, prove xn − 1 = (x − 1)(xn−1 +xn−2 + ⋯ + x + 1) x n 1 = (x 1) (x n 1 + x n 2 + + x + 1) I think that to prove this I should use induction, however I am a bit stuck with how to implement my induction hypothesis
- algebra precalculus - Prove $0! = 1$ from first principles . . .
How can I prove from first principles that $0!$ is equal to $1$?
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