query: Does (--n) equal (n - 1)?
positive_passages.docid: 5567
positive_passages.text: What is the difference between ++i and i++?
negative_passages.docid: 53866
negative_passages.text: Prove $ x^n-1=(x-1)(x^{n-1}+x^{n-2}+...+x+1)$
negative_passages.docid: 155995
negative_passages.text: Fibonacci proof question: $f_{n+1}f_{n-1}-f_n^2=(-1)^n$
negative_passages.docid: 146093
negative_passages.text: Why if $n \mid m$, then $(a^n-1) \mid (a^m-1)$?
negative_passages.docid: 73102
negative_passages.text: Given the factors of $N$, is there a method for computing the factors of $N-1$ or $N+1$?
negative_passages.docid: 121052
negative_passages.text: Where is the mistake? $-1=(-1)^{2/2}=\left(\left (-1\right)\displaystyle ^2\right)^{1/2}=1^{1/2}=\sqrt 1=1$
negative_passages.docid: 12401
negative_passages.text: Is it standard to say $-i \log(-1)$ is $\pi$?
negative_passages.docid: 94499
negative_passages.text: What is $c + (-c)$?
negative_passages.docid: 55994
negative_passages.text: Why do statisticians like "$n-1$" instead of "$n$"?
negative_passages.docid: 103987
negative_passages.text: What does the square root of minus $i$ equal?
negative_passages.docid: 146486
negative_passages.text: Why isn't [ -n ] false like [ -n "" ]?
negative_passages.docid: 115506
negative_passages.text: What's wrong with this demonstration? (1 = -1)
negative_passages.docid: 82097
negative_passages.text: If $A \succeq B$, is it true that $B^{-1} \succeq A^{-1}$?
negative_passages.docid: 9522
negative_passages.text: Proving $k \binom{n}{k} = n \binom{n-1}{k-1}$
negative_passages.docid: 98855
negative_passages.text: Prove $aba^{-1}b^{-1}\in{N}$ for all $a,b$
negative_passages.docid: 108923
negative_passages.text: What is wrong with this false proof? $-1=(-1)^1=(-1)^\frac{2}{2}=((-1)^2)^\frac{1}{2}=\sqrt{(-1)^2}=\sqrt{1}=1$
negative_passages.docid: 55094
negative_passages.text: How to show $i^{-1} = -i$?