World Languages Lexicon
10 Language-to-English DictionariesOpen-Neighborhood
/ˈoʊ.pən ˈneɪ.bər.hʊd/Comprehensive Definitions & Senses
2 senses- 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
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."
Thesaurus & Semantic Spectrum
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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10 Global Lexicons: How "Open-Neighborhood" is said worldwide
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voisinage ouvert
Transliteration: vwa-zi-nazh o-vɛʁ
"Le voisinage ouvert d'un point est essentiel pour l'analyse topologique."
offene Nachbarschaft
Transliteration: ˈɔfənə ˈnaχbaʁtʃaft
"Die offene Nachbarschaft eines Punktes ist wichtig für die Topologie."
vicinato aperto
Transliteration: vi.tʃiˈna.to aˈpeɾ.to
"Il vicinato aperto di un punto è fondamentale per l'analisi topologica."
vecindario abierto
Transliteration: be.sinˈda.ɾjo aˈβjeɾ.to
"El vecindario abierto de un punto es crucial para el análisis topológico."
vizinhança aberta
Transliteration: vi.ziˈɲɐ̃sɐ aˈbɛʁ.tɐ
"A vizinhança aberta de um ponto é essencial para a análise topológica."
खुला पड़ोस
Transliteration: khulā paḍos
"एक बिंदु का खुला पड़ोस टोपोलॉजी के विश्लेषण के लिए महत्वपूर्ण है।"
开邻域
Transliteration: kāi lín yù
"一个点的开邻域对于拓扑分析至关重要。"
열린 이웃
Transliteration: yeollin iut
"점의 열린 이웃은 위상 분석에 중요합니다."
開近傍
Transliteration: kai kinbō
"点の開近傍は位相解析において重要です。"
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