clopen
/ˈkloʊ̯.pən/
Word Rarity
Very rare
Frequency: Zipf frequency 1.01 in modern English
10
Scrabble Score
6
Letters
2
Syllables
6
Unique Chars
Meaning
Example Sentences
- "A subset of a metric space is clopen iff it is both closed and open. A metric space is called zero-dimensional iff there is a base for the open sets consisting of clopen sets."
- "FACT 1. Disjoint closed subsets of #92;mathbb#123;N#125;#92;mathbb#123;N#125; may be separated by disjoint clopen sets."
- "Theorem 3. 1) Every two disjoint closed sets in a totally disconnected compact space #92;mathfrak#123;Q#125; are separated by disjoint clopen sets. 2) Every algebra of clopen sets which separates the points of a totally disconnected compact space contains all clopen sets."
- "James is on vacation, so I've got to do a clopen this weekend to cover his shifts."
Etymology
Etymology tree English closed Proto-Indo-European *upó Proto-Germanic *ub Proto-Germanic *upp Proto-Germanic *upanaz Proto-West Germanic *opan Old English open Middle English open English open blend English clopen Blend of closed + open.
Regional Pronunciation
- American English: /ˈkloʊ̯.pən/
- British English: /ˈkləʊ̯.pən/
Inflected Forms
Phrases
the half-open interval defined there is not to be confused with the clopen set
swing shift
Frequently Paired Words
the half-open interval defined there is not to be confused with the clopen set
swing shift