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What is the difference between interval and arc?

interval | arc |

In context|mathematics|lang=en terms the difference between interval and arc

is that interval is (mathematics) a connected section of the real line which may be empty or have a length of zero while arc is (mathematics) a continuous mapping from a real interval (typically [0, 1]) into a space.

As nouns the difference between interval and arc

is that interval is a distance in space while arc is (astronomy) that part of a circle which a heavenly body appears to pass through as it moves above and below the horizon.

As a verb arc is

to move following a curved path.

interval

Noun

(en noun)
  • A distance in space.
  • * Milton
  • 'Twixt host and host but narrow space was left, / A dreadful interval .
  • A period of time.
  • the interval between contractions during childbirth
  • (music) The difference (a ratio or logarithmic measure) in pitch between two notes, often referring to those two pitches themselves (otherwise known as a dyad).
  • (mathematics) A connected section of the real line which may be empty or have a length of zero.
  • (chiefly, British) An intermission.
  • (sports) half time, a scheduled intermission between the periods of play
  • * {{quote-news
  • , year=2011 , date=November 12 , author= , title=International friendly: England 1-0 Spain , work=BBC Sport citation , page= , passage=Spain made three substitutions at the interval , sending on former Arsenal captain Fabregas, Chelsea's Juan Mata and Liverpool keeper Pepe Reina for Xavi, David Silva and Casillas.}}
  • (cricket) Either of the two breaks, at lunch and tea, between the three sessions of a day's play
  • Hyponyms

    * (mathematics) open interval, half-open interval, closed interval

    arc

    English

    (wikipedia arc)

    Noun

    (en noun)
  • (astronomy) That part of a circle which a heavenly body appears to pass through as it moves above and below the horizon.
  • (geometry) A continuous part of the circumference of a circle (circular arc) or of an other curve.
  • A curve, in general.
  • A band contained within parallel curves, or something of that shape.
  • (electrics) A flow of current across an insulating medium; especially a hot, luminous discharge between either two electrodes or as lightning.
  • A story arc.
  • (mathematics) A continuous mapping from a real interval (typically [0, 1]) into a space.
  • (graph theory) A directed edge.
  • Synonyms

    * (curve) curve, swoop * (circular arc) circular arc, circle segment * (directed edge) arrow, directed edge

    Verb

  • To move following a curved path.
  • * {{quote-news, year=2011
  • , date=February 4 , author=Gareth Roberts , title=Wales 19-26 England , work=BBC citation , page= , passage=Gatland's side got back to within striking distance when fly-half Jones's clever pass sent centre Jonathan Davies arcing round Shontayne Hape.}}
  • To form an electrical arc.
  • Anagrams

    * * * ----