Intervals: meaning, definitions and examples
๐ข
intervals
[ หษชntษrvษlz ]
mathematics
Intervals are sets of numbers between two given numbers. They can be open (not including the endpoints), closed (including the endpoints), half-open (including one endpoint but not the other), or half-closed (including one endpoint but not the other).
Synonyms
Examples of usage
- An interval from 1 to 5 would include 1 but not 5.
- The interval (2, 7] includes all numbers from 2 to 7 except for 2.
- The interval [4, 9) includes all numbers from 4 to 9 except for 9.
Translations
Translations of the word "intervals" in other languages:
๐ต๐น intervalos
๐ฎ๐ณ เค เคเคคเคฐเคพเคฒ
๐ฉ๐ช Intervalle
๐ฎ๐ฉ interval
๐บ๐ฆ ัะฝัะตัะฒะฐะปะธ
๐ต๐ฑ przedziaลy
๐ฏ๐ต ้้ (ใใใใ)
๐ซ๐ท intervalles
๐ช๐ธ intervalos
๐น๐ท aralฤฑklar
๐ฐ๐ท ๊ฐ๊ฒฉ
๐ธ๐ฆ ูุชุฑุงุช ุฒู ููุฉ
๐จ๐ฟ intervaly
๐ธ๐ฐ intervaly
๐จ๐ณ ้ด้ (jiฤngรฉ)
๐ธ๐ฎ intervali
๐ฎ๐ธ tรญmabil
๐ฐ๐ฟ ะธะฝัะตัะฒะฐะปะดะฐั
๐ฌ๐ช แแแขแแ แแแแแแ
๐ฆ๐ฟ interval
๐ฒ๐ฝ intervalos
Etymology
The concept of intervals in mathematics dates back to ancient times, with early mathematicians using intervals to describe ranges of numbers. The formalization of intervals as sets came later, with contributions from mathematicians like Georg Cantor in the 19th century. Intervals play a crucial role in various branches of mathematics, such as calculus, analysis, and number theory.