n.1. A district or area with distinctive characteristics: a neighborhood of fine homes; a working-class neighborhood.
2. The people who live near one another or in a particular district or area: The noise upset the entire neighborhood.
3. The surrounding area; vicinity: happened to be in the neighborhood.
4. Informal Approximate amount or range: in the neighborhood of five million dollars.
5. Friendliness appropriate to a neighbor: a feeling of neighborhood.
6. Mathematics The set of points surrounding a specified point, each of which is within a certain, usually small distance from the specified point.