query: Why is there only one type of imaginary number?
positive_passages.docid: 19655
positive_passages.text: Why don't we define "imaginary" numbers for every "impossibility"?
negative_passages.docid: 111976
negative_passages.text: Prove that a product of two complex numbers has zero imaginary part
negative_passages.docid: 71566
negative_passages.text: Positive and negative complex numbers?
negative_passages.docid: 68315
negative_passages.text: Why doesn't multiplying square roots of imaginary numbers follow $\sqrt{a} \times \sqrt{b} = \sqrt{ab}$?
negative_passages.docid: 81070
negative_passages.text: Why must the eigenvalue of the number operator be an integer?
negative_passages.docid: 153969
negative_passages.text: The "elements" of a real number
negative_passages.docid: 43834
negative_passages.text: Simple Complex Number Problem: $1 = -1$
negative_passages.docid: 65300
negative_passages.text: Why is $\pi$ irrational?
negative_passages.docid: 5022
negative_passages.text: Can a set containing $0$ be purely imaginary?
negative_passages.docid: 122181
negative_passages.text: Application of Complex Numbers
negative_passages.docid: 46144
negative_passages.text: Understanding imaginary exponents
negative_passages.docid: 21769
negative_passages.text: Motivation for complex numbers
negative_passages.docid: 59385
negative_passages.text: Are there number systems corresponding to higher cardinalities than the real numbers?
negative_passages.docid: 141073
negative_passages.text: Are there fewer positive integers than all integers?
negative_passages.docid: 149529
negative_passages.text: Name for complex number with nonzero imaginary component
negative_passages.docid: 24688
negative_passages.text: Why are $i$ and $-i$ "more indistinguishable" than $\sqrt{2}$ and $-\sqrt{2}$?
negative_passages.docid: 108748
negative_passages.text: Why there are real numbers with infinite digits, but no such natural numbers (or another reason why real numbers are uncountable)