n. The condition or quality of being neighbors; the state of dwelling or being situated nigh or near; proximity; nearness: as, neighborhood often promotes friendship.n. Conduct as a neighbor.n. 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.n. The place or locality lying next or nigh to some specified place; adjoining district; vicinity: as he lived in my neighborhood: frequently used figuratively.n. Those living in the vicinity or adjoining locality; neighbors collectively; as, thė fire alarmed the whole neighborhood.n. A district or locality, especially when considered with reference to its inhabitants or their interests: as, a fashionable neighborhood; a malarious neighborhood.n. 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.n. 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.
