query: Can $i$ be defined as a square root of $-1$?
positive_passages.docid: 35856
positive_passages.text: Refining my knowledge of the imaginary number
negative_passages.docid: 6582
negative_passages.text: Prove the existence of the square root of $2$.
negative_passages.docid: 61673
negative_passages.text: Could I define 0^0 to be 1?
negative_passages.docid: 109674
negative_passages.text: If $(I-T)^{-1}$ exists, can it always be written in a series representation?
negative_passages.docid: 144244
negative_passages.text: Bound on difference between irrational square root and rational number
negative_passages.docid: 62850
negative_passages.text: Linear Algebra: If $A^3 = I$, does $A$ have to be $I$?
negative_passages.docid: 40525
negative_passages.text: Fastest way to determine if an integer's square root is an integer
negative_passages.docid: 12401
negative_passages.text: Is it standard to say $-i \log(-1)$ is $\pi$?
negative_passages.docid: 150229
negative_passages.text: Find all the values of $(1+i)^{(1-i)}$
negative_passages.docid: 103987
negative_passages.text: What does the square root of minus $i$ equal?
negative_passages.docid: 155285
negative_passages.text: difficulty of accepting $i^2 = -1$ for first timers
negative_passages.docid: 148647
negative_passages.text: If $\dfrac{4x^2-1}{4x^2-y^2}$ is an integer, then it is $1$
negative_passages.docid: 95057
negative_passages.text: Possible fake proof of $1= -1$
negative_passages.docid: 48086
negative_passages.text: Why is this series of square root of twos equal $\pi$?
negative_passages.docid: 98803
negative_passages.text: Square roots of integers and cyclotomic fields
negative_passages.docid: 69067
negative_passages.text: Principal $n$th root of a complex number
negative_passages.docid: 139932
negative_passages.text: What is the square root of $i^4$?