neighborhood

from The American Heritage® Dictionary of the English Language, 5th Edition.

• noun A district or area with distinctive characteristics.
• noun The people who live near one another or in a particular district or area.
• noun The surrounding area; vicinity.
• noun Informal Approximate amount or range.
• noun Friendliness appropriate to a neighbor.
• noun Mathematics The set of points surrounding a specified point, each of which is within a certain, usually small distance from the specified point.

from The Century Dictionary.

• noun In mathematics, the part of a line, surface, space, or other locus in quo so near to a correlative point that from its utmost parts to that point it has everywhere a certain given character with respect to which it is the neighborhood of that point. Thus, to say that the air is condensed in the neighborhood of a certain point, is to say that after one has approached it sufficiently near, the nearer one approaches the more condensed is the air up to the point itself.
• noun The condition or quality of being neighbors; the state of dwelling or being situated nigh or near; proximity; nearness: as, neighborhood often promotes friendship.
• noun Conduct as a neighbor.
• noun The kindliness and mutual readiness to be friendly which arise out of the condition of being neighbors; the reciprocity and mutual helpfulness becoming to neighbors; neighborly feelings and acts.
• noun The place or locality lying next or nigh to some specified place; adjoining district; vicinity: as he lived in my neighborhood: frequently used figuratively.
• noun Those living in the vicinity or adjoining locality; neighbors collectively; as, thė fire alarmed the whole neighborhood.
• noun A district or locality, especially when considered with reference to its inhabitants or their interests: as, a fashionable neighborhood; a malarious neighborhood.
• noun Synonyms and Neighborhood, Vicinity, Proximity. The first two differ from proximity in being used concretely: as, the explosion was heard throughout the neighborhood or vicinity (but not proximity). Neighborhood is closer and livelier than vicinity; proximity is the closest nearness. Neighborhood regards not only place, but persons; vicinity only the place; hence we say he lived in the vicinity of New York or the Hudson, but he lived in the neighborhood of Irving; his house was in close proximity to the one that was on fire. See adjacent.

from the GNU version of the Collaborative International Dictionary of English.

• noun The quality or condition of being a neighbor; the state of being or dwelling near; proximity.
• noun A place near; vicinity; adjoining district; a region the inhabitants of which may be counted as neighbors.
• noun The inhabitants who live in the vicinity of each other.
• noun obsolete The disposition becoming a neighbor; neighborly kindness or good will.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

• noun obsolete The quality of being a neighbor, living nearby, next to each-other
• noun A nearby area.
• noun The inhabitants of a residential area.
• noun A division of a municipality or region, formally or informally divided
• noun An approximate amount.
• noun uncountable The quality of physical proximity.
• noun obsolete The disposition becoming a neighbor; neighborly kindness or good will.
• noun topology The neighborhood of a point x is... (depending on the author):

from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.

• noun a surrounding or nearby region
• noun the approximate amount of something (usually used prepositionally as in `in the region of')
• noun an area within a city or town that has some distinctive features (especially one forming a community)
• noun people living near one another