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Equivalent vs Similar - What's the difference?

equivalent | similar |

In mathematics terms the difference between equivalent and similar

is that equivalent is relating to the corresponding elements of an equivalence relation while similar is of geometrical figures including triangles, squares, ellipses, arcs and more complex figures, having the same shape but possibly different size, rotational orientation, and position; in particular, having corresponding angles equal and corresponding line segments proportional; such that one can be had from the other using a sequence of operations of rotation, translation and scaling.

As adjectives the difference between equivalent and similar

is that equivalent is similar or identical in value, meaning or effect; virtually equal while similar is having traits or characteristics in common; alike, comparable.

As nouns the difference between equivalent and similar

is that equivalent is anything that is virtually equal to something else, or has the same value, force, etc while similar is that which is similar to, or resembles, something else, as in quality, form, etc.

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.
  • ----

    similar

    Adjective

    (en adjective)
  • Having traits or characteristics in common; alike, comparable.
  • *
  • *:So this was my future home, I thought! Certainly it made a brave picture. I had seen similar ones fired-in on many a Heidelberg stein. Backed by towering hills,a sky of palest Gobelin flecked with fat, fleecy little clouds, it in truth looked a dear little city; the city of one's dreams.
  • * {{quote-magazine, year=2013, month=May-June, author= Charles T. Ambrose
  • , title= Alzheimer’s Disease , volume=101, issue=3, page=200, magazine=(American Scientist) , passage=Similar studies of rats have employed four different intracranial resorbable, slow sustained release systems—surgical foam, a thermal gel depot, a microcapsule or biodegradable polymer beads.}}
  • (mathematics) Of geometrical figures including triangles, squares, ellipses, arcs and more complex figures, having the same shape but possibly different size, rotational orientation, and position; in particular, having corresponding angles equal and corresponding line segments proportional; such that one can be had from the other using a sequence of operations of rotation, translation and scaling.
  • Synonyms

    * (with common characteristics) akin, alike, comparable, identical, same, twin

    Antonyms

    * (alike) different, unlike

    Noun

    (en noun)
  • That which is similar to, or resembles, something else, as in quality, form, etc.
  • (homeopathy) A material that produces an effect that resembles the symptoms of a particular disease