Disjoint: meaning, definitions and examples
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disjoint
[ dษชsหdสษษชnt ]
mathematics
In mathematics, the term 'disjoint' refers to sets that have no elements in common. When two or more sets are disjoint, their intersection is the empty set, meaning that there are no shared members. This concept is important in probability and statistics, as it affects the way events are analyzed and calculated.
Synonyms
distinct, separate, unrelated.
Examples of usage
- The sets A and B are disjoint.
- Two disjoint events cannot happen at the same time.
- In this example, the circles are disjoint.
Translations
Translations of the word "disjoint" in other languages:
๐ต๐น disjunto
๐ฎ๐ณ เค เคฒเค
๐ฉ๐ช disjunkt
๐ฎ๐ฉ terpisah
๐บ๐ฆ ะฝะตััะผััะฝะธะน
๐ต๐ฑ rozลฤ czny
๐ฏ๐ต ไบใใซๆไป็ใช
๐ซ๐ท disjoint
๐ช๐ธ disjunto
๐น๐ท ayrฤฑk
๐ฐ๐ท ์๋ก ๋ฐฐํ์ ์ธ
๐ธ๐ฆ ุบูุฑ ู ุชุฏุงุฎู
๐จ๐ฟ disjunktnรญ
๐ธ๐ฐ disjunktnรฝ
๐จ๐ณ ไธ็ธไบค็
๐ธ๐ฎ nespojiv
๐ฎ๐ธ sรฉrstakur
๐ฐ๐ฟ ะฑำฉะปะตะบ
๐ฌ๐ช แฃแฌแแแแแแแ
๐ฆ๐ฟ ayrฤฑlmฤฑล
๐ฒ๐ฝ disjunto
Etymology
The word 'disjoint' originates from the combination of the prefix 'dis-', which means 'apart' or 'asunder', and the word 'joint', which comes from the Latin 'iunctus', meaning 'joined' or 'connected'. The concept emerged in the context of mathematics and set theory, where it starkly describes the relationship between sets that do not intersect, thereby highlighting their separation. This term began to be more widely used in the mid-20th century, particularly in academic and technical writings related to mathematics, logic, and computer science. The ability to distinguish between disjoint sets plays a crucial role in many mathematical theories and applications, including combinatorics, measure theory, and statistical analysis. As mathematical formalism developed, the precise definitions of disjoint sets became fundamental in areas such as probability theory and in understanding various logical frameworks.