neighborhood

plural neighborhoods · alternative UK neighbourhood

1. UScountableuncountableThe residential area near one's home.

   He lives in my neighborhood.

   1 more example

   I know the shadiest breeziest spots, hidden tables surrounded by trees that have lived longer than the neighborhoods around them. […] I simply remembered a great little park in a neighborhood where I used to teach at the elementary school up the road.

   2020 September 5, Jane Greenway Carr, “How we spent our summer not-vacations”, in CNN

2. UScollectivecountableuncountableThe inhabitants of a residential area.

   The fire alarmed the neighborhood.

3. UScountableuncountableA formal or informal division of a municipality or region.

   We have just moved to a pleasant neighborhood.

4. UScountableuncountableAn approximate amount.

   He must be making in the neighborhood of $200,000 per year.

5. UScountableuncountableThe quality of physical proximity.

   The slums and the palace were in awful neighborhood.

6. UScountableobsoleteuncountableThe quality of being a neighbor, of living nearby, next to each other; proximity.

   Our neighborhood was our only reason to exchange hollow greetings.

   4 more examples

   1595, George Peele, The Old Wives’ Tale, The Malone Society Reprints, 1908, lines 243-245, […] if you do any thing for charity, helpe me; if for neighborhood or brotherhood, helpe me […]

   Take her, fair son, and from her blood raise up Issue to me; that the contending kingdoms Of France and England, whose very shores look pale With envy of each other’s happiness, May cease their hatred; and this dear conjunction Plant neighbourhood and Christian-like accord In their sweet bosoms […]

   1599 (date written), William Shakespeare, “The Life of Henry the Fift”, in Mr. William Shakespeares Comedies, Histories, & Tragedies […] (First Folio), London: […] Isaac Iaggard, and Ed[ward] Blount, published 1623, →OCLC, [Act V, scene ii]

   Nor content with such / Audacious neighbourhood, the wisest heart / Of Solomon he led by fraud to build / His Temple right against the Temple of God.

   1667, John Milton, “Book I”, in Paradise Lost. […], London: […] [Samuel Simmons], and are to be sold by Peter Parker […]; [a]nd by Robert Boulter […]; [a]nd Matthias Walker, […], →OCLC; republished as Paradise Lost in Ten Books: […], London: Basil Montagu Pickering […], 1873, →OCLC

   Then the prison and the palace were in awful neighbourhood.

   1835, Edward Bulwer-Lytton, Rienzi, the Last of the Roman Tribunes

7. UScountabledateduncountableClose proximity; nearness.

   At first he was partly hidden among the latschen, then his hind-quarters, quite black, emerged from the dark green bushes, as he slowly moved on, perfectly unconscious of our neighbourhood.

   1853, Charles Boner, Chamois Hunting in the Mountains of Bavaria, page 286

8. UScountableobsoleteuncountableThe disposition becoming a neighbor; neighborly kindness or good will.
9. Within a topological space:
   1. UScountableuncountablemathematicsA set containing an open set which contains some specified point.
   2. UScountableuncountablemathematicsAlternatively: An open set which contains some specified point.
10. Within a metric space:
    1. UScountableuncountablemathematicsA set containing an open ball which contains a specified point.
    2. UScountableuncountablemathematicsAlternatively: An open ball which contains some specified point.
11. UScountableuncountablemathematicsThe infinitesimal open set of all points that may be reached directly from a given point.
12. UScountableuncountablegraph theoryThe set of all the vertices adjacent to a given vertex.
    1. UScountableuncountablecellular automataThe set of all cells near a given cell used to determine that cell's state in the next generation.

       In fact, it looks at the number of states and the neighborhood of the rule (determined by the filename), and decides whether to make it a lookup-table, or a "computed-function" rule.

       1990 July 9, David Hiebeler, “Languages for programming cellular automata”, in comp.theory.cell-automata (Usenet)

       2 more examples

       Universal: Is able to simulate other CA, the neighborhood size may be limited but the number of cell value should be unlimited (big neighborhoods can be transformed into multivalued cells).

       2005 September 7, IzI, “reversible universal 1D CA?”, in comp.theory.cell-automata (Usenet)

       I've seen this space colloquially referred to as MAP (presumably since it maps a 3x3 neighborhood into a future cell state), or more precisely and if you want to be pedantic, since there are a lot of variants of cellular automata: 2D Range-1 Moore neighborhood 2-state (non-totalistic) cellular automata (regular euclidean grid implied, although some people explore toroidal configurations, nonstandard tilings, or arbitrary graphs).

       2022 February 11, Mateon1, “Game of Life with real 8 neighbors”, in comp.theory.cell-automata (Usenet)