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Equivalent vs Interval - What's the difference?

equivalent | interval |

In mathematics terms the difference between equivalent and interval

is that equivalent is relating to the corresponding elements of an equivalence relation while interval is a connected section of the real line which may be empty or have a length of zero.

As nouns the difference between equivalent and interval

is that equivalent is anything that is virtually equal to something else, or has the same value, force, etc while interval is a distance in space.

As an adjective equivalent

is similar or identical in value, meaning or effect; virtually equal.

As a verb equivalent

is to make equivalent to; to equal.

equivalent

Alternative forms

* (archaic)

Adjective

(en adjective)
  • Similar or identical in value, meaning or effect; virtually equal.
  • * South
  • For now to serve and to minister, servile and ministerial, are terms equivalent .
  • * {{quote-magazine, date=2012-03
  • , author=(Henry Petroski) , title=Opening Doors , volume=100, issue=2, page=112-3 , magazine= citation , passage=A doorknob of whatever roundish shape is effectively a continuum of levers, with the axis of the latching mechanism—known as the spindle—being the fulcrum about which the turning takes place. Applying a force tangential to the knob is essentially equivalent to applying one perpendicular to a radial line defining the lever.}}
  • (mathematics) Of two sets, having a one-to-one correspondence; equinumerous.
  • * Comprehensive MCQ's in Mathematics , page 3:
  • Finite sets A and B are equivalent sets only when n''(A) = ''n''(B) ''i.e. , the number of elements in A and B are equal.
  • * 1950 , E. Kamke, Theory of Sets , page 16:
  • All enumerable sets are equivalent to each other, but not to any finite set.
  • * 2000 , N. L. Carothers, Real Analysis , page 18:
  • Equivalent' sets should, by rights, have the same "number" of elements. For this reason we sometimes say that '''equivalent sets have the same ''cardinality .
  • * 2006 , Joseph Breuer, Introduction to the Theory of Sets , page 41:
  • The equivalence theorem: If both M is equivalent''' to a subset N1 of N and N is '''equivalent''' to a subset M1 of M, then the sets M and N are '''equivalent to each other.
  • (mathematics) Relating to the corresponding elements of an equivalence relation.
  • (chemistry) Having the equal ability to combine.
  • (cartography) Of a map, equal-area.
  • (geometry) Equal in measure but not admitting of superposition; applied to magnitudes.
  • A square may be equivalent to a triangle.

    Usage notes

    * (en-usage-equal)

    Derived terms

    * (l)

    Noun

    (en noun)
  • Anything that is virtually equal to something else, or has the same value, force, etc.
  • * Macaulay
  • He owned that, if the Test Act were repealed, the Protestants were entitled to some equivalent .
  • (chemistry) An equivalent weight.
  • Verb

    (en verb)
  • To make equivalent to; to equal.
  • ----

    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