🇮🇹Italian Source WordCode: IT

vicinato aperto

Pronunciation / Transliteration: vi.tʃiˈna.to aˈpeɾ.to

🇬🇧 Direct English Meaning:
Open-Neighborhood/ˈoʊ.pən ˈneɪ.bər.hʊd/
nounCEFR C1 (Advanced)Top #15000 frequency
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🇮🇹 Example Sentence in Italian:

"Il vicinato aperto di un punto è fondamentale per l'analisi topologica."

Comprehensive Definitions & Senses

2 senses
As noun
  1. 1

    A set of points in a topological space that includes a point and all points sufficiently close to it.

    "In topology, an open-neighborhood around a point allows for the analysis of continuity and limits."
  2. 2

    A concept used in various fields of mathematics to describe a local area around a point.

    "The open-neighborhood of a function's limit point is crucial for understanding its behavior near that point."

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Antonyms & Contrasting Words (1)

Linguistic Origin & Historical Etymology

The term 'open-neighborhood' is derived from the combination of 'open', which comes from the Old English 'openian', meaning 'to open', and 'neighborhood', which originates from the Old English 'neahgebūr', meaning 'near dweller'. The term has evolved in mathematical contexts to describe a set of points surrounding a given point in topology.

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