Intervals: meaning, definitions and examples

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intervals

 

[ หˆษชntษ™rvษ™lz ]

Noun
Context #1 | Noun

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

range, segment, span

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:

๐Ÿ‡ต๐Ÿ‡น intervalos

๐Ÿ‡ฎ๐Ÿ‡ณ เค…เค‚เคคเคฐเคพเคฒ

๐Ÿ‡ฉ๐Ÿ‡ช Intervalle

๐Ÿ‡ฎ๐Ÿ‡ฉ interval

๐Ÿ‡บ๐Ÿ‡ฆ ั–ะฝั‚ะตั€ะฒะฐะปะธ

๐Ÿ‡ต๐Ÿ‡ฑ przedziaล‚y

๐Ÿ‡ฏ๐Ÿ‡ต ้–“้š” (ใ‹ใ‚“ใ‹ใ)

๐Ÿ‡ซ๐Ÿ‡ท intervalles

๐Ÿ‡ช๐Ÿ‡ธ intervalos

๐Ÿ‡น๐Ÿ‡ท aralฤฑklar

๐Ÿ‡ฐ๐Ÿ‡ท ๊ฐ„๊ฒฉ

๐Ÿ‡ธ๐Ÿ‡ฆ ูุชุฑุงุช ุฒู…ู†ูŠุฉ

๐Ÿ‡จ๐Ÿ‡ฟ intervaly

๐Ÿ‡ธ๐Ÿ‡ฐ intervaly

๐Ÿ‡จ๐Ÿ‡ณ ้—ด้š” (jiฤngรฉ)

๐Ÿ‡ธ๐Ÿ‡ฎ intervali

๐Ÿ‡ฎ๐Ÿ‡ธ tรญmabil

๐Ÿ‡ฐ๐Ÿ‡ฟ ะธะฝั‚ะตั€ะฒะฐะปะดะฐั€

๐Ÿ‡ฌ๐Ÿ‡ช แƒ˜แƒœแƒขแƒ”แƒ แƒ•แƒแƒšแƒ”แƒ‘แƒ˜

๐Ÿ‡ฆ๐Ÿ‡ฟ interval

๐Ÿ‡ฒ๐Ÿ‡ฝ 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.

Word Frequency Rank

At position #2,915, this word belongs to solid intermediate vocabulary. It's frequently used in both casual and formal contexts and is worth learning for better fluency.