Lancashire, kicking a girl to death : "It's important to remember that this is an isolated incident".
Letchworth : Police said the shooting was an isolated incident.
Carlisle murder : "Cumbria police would like to reassure people that this is an isolated incident and a full investigation is underway".
Swindon : The police are treating the attempted abduction of a young girl in the Oakhurst area as an isolated incident.
Newcastle stabbing : Det Insp Jim Hetherington offered reassurance to people living in the area. He said: “I would like to reassure people that this appears to be an isolated incident.
Cardiff : Police are investigating an "horrific" sexual assault on a woman walking her dog near school fields. The 25-year-old woman was attacked on Tuesday, 31 July, near St Bernadette Primary School in Pentwyn, Cardiff. South Wales Police said it was "an isolated incident" and they were appealing for witnesses.
Maidenhead murder : Windsor and Maidenhead local police commander Superintendent Mike Ismay reassured residents of the town that it was an isolated incident.
Wycombe shooting : Ch Insp Stuart Craik, of Thames Valley Police, said: "This is an isolated incident which is uncommon to the Wycombe area.
Winchester double murder : "I would like to reassure members of the community that this is an isolated incident".
Or take a look at the 39 pages of isolated incidents at BBC News.