query: Is the set of the rational numbers equal to the set of periodic numbers?
positive_passages.docid: 46561
positive_passages.text: How can I prove that all rational numbers are either terminating decimal or repeating decimal numerals?
negative_passages.docid: 113083
negative_passages.text: How to prove a set equality?
negative_passages.docid: 107105
negative_passages.text: Is an irrational number odd or even?
negative_passages.docid: 138446
negative_passages.text: Proving that there exists an irrational number in between any given real numbers
negative_passages.docid: 30105
negative_passages.text: Multiples of an irrational number forming a dense subset
negative_passages.docid: 150825
negative_passages.text: Is an empty set equal to another empty set?
negative_passages.docid: 3636
negative_passages.text: Are any two uncountable sets similar to each other?
negative_passages.docid: 101028
negative_passages.text: Irrational numbers and Borel Sets
negative_passages.docid: 109320
negative_passages.text: Why do the rationals, integers and naturals all have the same cardinality?
negative_passages.docid: 52682
negative_passages.text: Is the power set of the natural numbers countable?
negative_passages.docid: 104234
negative_passages.text: What is the Hausdorff dimension of the set of irrationals on $\mathbb R^1$
negative_passages.docid: 81406
negative_passages.text: Does every set have a group structure?
negative_passages.docid: 118374
negative_passages.text: Is there a proof that $\pi$ is an irrational number?
negative_passages.docid: 7500
negative_passages.text: $\arctan$ of a square root as a rational multiple of $\pi$
negative_passages.docid: 156946
negative_passages.text: The set of real numbers is a subset of the set of complex numbers?
negative_passages.docid: 73621
negative_passages.text: How many sequences of rational numbers converging to 1 are there?
negative_passages.docid: 144331
negative_passages.text: Periodic function implies periodic primitive?