query: G is a set of all non zero real numbers with binary relation * is defined on G as
positive_passages.docid: 26624
positive_passages.text: Prove that is group is abelian
negative_passages.docid: 145354
negative_passages.text: What is $\gcd(0,0)$?
negative_passages.docid: 151521
negative_passages.text: Set Theory: Tree Property
negative_passages.docid: 101669
negative_passages.text: Cardinality of the Set of all finite subset of $\mathbb{R}$
negative_passages.docid: 27728
negative_passages.text: Question on a homomorphism of a set G.
negative_passages.docid: 16553
negative_passages.text: Cardinality of the set of all total orders on $\Bbb{N}$
negative_passages.docid: 70196
negative_passages.text: Is there any well-ordered uncountable set of real numbers under the original ordering?
negative_passages.docid: 122271
negative_passages.text: A subset of a transitive set is transitive
negative_passages.docid: 73056
negative_passages.text: Operation that makes the negative real numbers, $\mathbb{R}_{<0}$, a group
negative_passages.docid: 324
negative_passages.text: Show uncountable set of real numbers has a point of accumulation
negative_passages.docid: 30021
negative_passages.text: Bijection between set of all binary sequences and power set of $\mathbb N$.
negative_passages.docid: 122506
negative_passages.text: Relation on countable sets
negative_passages.docid: 156660
negative_passages.text: The set of all strictly increasing sequences of natural numbers
negative_passages.docid: 133762
negative_passages.text: A set which satisfies all conditions for a Group except associativity
negative_passages.docid: 158842
negative_passages.text: What is wrong with this bijection from all naturals to reals between 0 and 1?
negative_passages.docid: 62455
negative_passages.text: Prove Equivalence Relation in G
negative_passages.docid: 100845
negative_passages.text: How to prove that $G(x)=ax+b$ is a one-to-one correspondence where $a\neq0$ and $a,b\in\mathbb{R}$.