query: What is the motivation behind free groups?
positive_passages.docid: 155335
positive_passages.text: What good are free groups?
negative_passages.docid: 94095
negative_passages.text: Simple applications of group theory which can be understood by a senior undergrad
negative_passages.docid: 107216
negative_passages.text: What's so special about the group axioms?
negative_passages.docid: 39895
negative_passages.text: Showing a free abelian group is generated by its basis
negative_passages.docid: 7238
negative_passages.text: Where does the use of "why" as an interjection come from?
negative_passages.docid: 72134
negative_passages.text: What is the purpose of a Windows Workgroup?
negative_passages.docid: 38569
negative_passages.text: Why would anyone want to pay off their debts in a way other than "highest interest" first?
negative_passages.docid: 82899
negative_passages.text: Why the term and the concept of quotient group?
negative_passages.docid: 31232
negative_passages.text: What is the purpose of using the word "why" in "why, thank you"?
negative_passages.docid: 101223
negative_passages.text: What's a good beginner resource to learn group theory?
negative_passages.docid: 24928
negative_passages.text: Motivation behind introduction of measure theory
negative_passages.docid: 21521
negative_passages.text: Motivation behind standard deviation?
negative_passages.docid: 73292
negative_passages.text: Does the fundamental group detect the unlink?
negative_passages.docid: 31195
negative_passages.text: What is the purpose of hiding communities if they are visible anyway?
negative_passages.docid: 154039
negative_passages.text: What does why would I do it mean in this context?
negative_passages.docid: 58523
negative_passages.text: Why is the output from `groups` different from `groups user` if Im currently logged in as user?
negative_passages.docid: 139218
negative_passages.text: Is this group solvable?