Disjoint: meaning, definitions and examples

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disjoint

 

[ dษชsหˆdส’ษ”ษชnt ]

Adjective
Context #1 | Adjective

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:

๐Ÿ‡ต๐Ÿ‡น disjunto

๐Ÿ‡ฎ๐Ÿ‡ณ เค…เคฒเค—

๐Ÿ‡ฉ๐Ÿ‡ช disjunkt

๐Ÿ‡ฎ๐Ÿ‡ฉ terpisah

๐Ÿ‡บ๐Ÿ‡ฆ ะฝะตััƒะผั–ัะฝะธะน

๐Ÿ‡ต๐Ÿ‡ฑ rozล‚ฤ…czny

๐Ÿ‡ฏ๐Ÿ‡ต ไบ’ใ„ใซๆŽ’ไป–็š„ใช

๐Ÿ‡ซ๐Ÿ‡ท disjoint

๐Ÿ‡ช๐Ÿ‡ธ disjunto

๐Ÿ‡น๐Ÿ‡ท ayrฤฑk

๐Ÿ‡ฐ๐Ÿ‡ท ์„œ๋กœ ๋ฐฐํƒ€์ ์ธ

๐Ÿ‡ธ๐Ÿ‡ฆ ุบูŠุฑ ู…ุชุฏุงุฎู„

๐Ÿ‡จ๐Ÿ‡ฟ disjunktnรญ

๐Ÿ‡ธ๐Ÿ‡ฐ disjunktnรฝ

๐Ÿ‡จ๐Ÿ‡ณ ไธ็›ธไบค็š„

๐Ÿ‡ธ๐Ÿ‡ฎ nespojiv

๐Ÿ‡ฎ๐Ÿ‡ธ sรฉrstakur

๐Ÿ‡ฐ๐Ÿ‡ฟ ะฑำฉะปะตะบ

๐Ÿ‡ฌ๐Ÿ‡ช แƒฃแƒฌแƒ•แƒ“แƒแƒ›แƒ”แƒšแƒ˜

๐Ÿ‡ฆ๐Ÿ‡ฟ ayrฤฑlmฤฑลŸ

๐Ÿ‡ฒ๐Ÿ‡ฝ 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.