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(US), neighborhood
Maths the set of all points whose distance from a given point is less than a specified value


A relatively small area in a town with sufficient binding character, such as architectural or social unity or clear boundaries, so that it is recognized as an entity by residents and outsiders alike. Usually an area in which all parts are within easy walking distance from one another, and having a diverse range of building types, thoroughfares, and public open spaces accommodating a variety of human activity.
References in classic literature ?
The musician was an old gray-headed negro, who had been the itinerant orchestra of the neighborhood for more than half a century.
After proceeding some little distance, and looking about her with the hesitation of a person not well acquainted with the neighborhood, the servant crossed the road and entered a stationer's shop.
A second observation to be made is that the immediate object of the federal Constitution is to secure the union of the thirteen primitive States, which we know to be practicable; and to add to them such other States as may arise in their own bosoms, or in their neighborhoods, which we cannot doubt to be equally practicable.
Some conjectured that the band of Indians, whose trail they had discovered in the neighborhood of the stray horse, had been lying in wait for them in some secret fastness of the mountains; and were about to attack them on the open plain, where they would have no shelter.
Does it not haunt in the neighborhood to this very day?
An exhibition of agricultural implements had been opened in the neighborhood, only two days since; and a public competition between rival machines was to be decided on the coming Monday.
The sort of society," added Miss Pink, "which is to be found, for example, in this neighborhood.
No great time was required for these singular facts to rouse the curiosity of the entire neighborhood.
Glenarm had, it appeared, received an anonymous letter, on the first day of her arrival as guest at the house of a friend, residing in the neighborhood of Perth.
At night there was never a traveller passed my house, or knocked at my door, more than if I were the first or last man; unless it were in the spring, when at long intervals some came from the village to fish for pouts -- they plainly fished much more in the Walden Pond of their own natures, and baited their hooks with darkness -- but they soon retreated, usually with light baskets, and left "the world to darkness and to me," and the black kernel of the night was never profaned by any human neighborhood.
Describing the man to the servant on entering the house, he was informed that a stranger with a large beard had been seen about the neighborhood for some days past.
Now he was glad to get away from the neighborhood of the Shtcherbatskys, and still more from his farm work, especially on a shooting expedition, which always in trouble served as the best consolation.

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