neighborhood

noun

1. (US, countable, uncountable)The residential area near one's home.

   “He lives in my neighborhood.”

   “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.”

2. (US, countable, uncountable)The inhabitants of a residential area.

   “The fire alarmed the neighborhood.”

3. (US, countable, uncountable)A formal or informal division of a municipality or region.

   “We have just moved to a pleasant neighborhood.”

4. (US, countable, uncountable)An approximate amount.

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

5. (US, countable, uncountable)The quality of physical proximity.

   “The slums and the palace were in awful neighborhood.”

6. (US, countable, obsolete, uncountable)The quality of being a neighbor, of living nearby, next to each other; proximity.

   “Our neighborhood was our only reason to exchange hollow greetings.”

   “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 […]”

   “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.”

   “Then the prison and the palace were in awful neighbourhood.”

7. (US, countable, dated, uncountable)Close 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.”

8. (US, countable, obsolete, uncountable)The disposition becoming a neighbor; neighborly kindness or good will.
9. (US, countable, uncountable)Within a topological space:
10. (US, countable, uncountable)Within a topological space:
11. (US, countable, uncountable)Within a metric space:
12. (US, countable, uncountable)Within a metric space:
13. (US, countable, uncountable)The infinitesimal open set of all points that may be reached directly from a given point.
14. (US, countable, uncountable)The set of all the vertices adjacent to a given vertex.
15. (US, countable, uncountable)The set of all the vertices adjacent to a given vertex.

    “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.”

    “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).”

    “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).”