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
Which Synonym Should You Choose?
Word | Description / Examples |
---|---|
intervals |
Use 'intervals' when talking about time periods or spaces between events or things. This word is often used in scheduling, music, and mathematics.
|
range |
Use 'range' when talking about the extent or scope of something, often in a continuous sequence. It is common in discussions about prices, ages, temperatures, and various statistics.
|
span |
Use 'span' when talking about the full extent or duration between two points, often in time or distance. It is also used to indicate how long something lasts or the physical distance something covers.
|
segment |
Use 'segment' when referring to a part of a whole, usually a distinct section of something larger. This word is common in geometry, marketing, and various sciences.
|
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.