"The Lotka–Volterra equation suggests that all things being equal, gangs will divide up space equally (and that may not mean along neat street boundaries). This process occurs when gangs experience more competitive animosity toward outsiders (other gangs) than among themselves. But, importantly, it takes very little competition to create these territories in the first place, or even to maintain them. “Every time there’s a gang-on-gang shooting, everybody talks about how there’s an ‘all-out gang war,’” Brantingham. “But no, the numbers don’t seem to suggest that."
"We hold these truths to be self-evident: that all nonzero vectors are created equal; that they are endowed by their definer with certain unalienable rights; that among these are the laws of logic and the pursuit of valid proofs; that to secure these rights, logical arguments are created, deriving their just powers from axioms; that whenever any argument becomes destructive of these ends, it is the right of the vectors to alter or to abolish it, and to institute a new argument, laying its foundation on such principles, and organizing its powers in such form, as to them shall seem most likely to reach the correct conclusion. Prudence, indeed, will dictate that theorems long established should not be changed for light and transient causes, and accordingly all experience hath shown that sets are more disposed to accept the conclusions of arguments than to right themselves by abolishing the arguments. But when a long train of abuses and usurpations, pursuing invariably the same object, evinces a design to reduce them to zero in a non-trivial way, it is their right, it is their duty to throw off such argument, and to provide new proofs for their future security. Such has been the patient sufferance of these vectors, and such is now the necessity which constrains them to alter these arguments. The history of Professor Eigen is a history of repeated injuries and usurpations, all having in direct object the establishment of dependence among these vectors. To prove this, let facts be submitted to a candid world."