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.

Adjective

(en adjective)

Precisely agreeing with a standard, a fact, or the truth; perfectly conforming; neither exceeding nor falling short in any respect.

Habitually careful to agree with a standard, a rule, or a promise; accurate; methodical; punctual.

* (John Milton) (1608-1674)

I see thou art exact of taste.

* 1661 , , The Life of the most learned, reverend and pious Dr. H. Hammond

During the whole time of his abode in the university he generally spent thirteen hours of the day in study; by which assiduity besides an exact dispatch of the whole course of philosophy, he read over in a manner all classic authors that are extant

Precisely or definitely conceived or stated; strict.

* (William Shakespeare) (1564-1616)

An exact command, / Larded with many several sorts of reason.

(algebra, of a sequence of groups connected by homomorphisms) Such that the kernel of one homomorphism is the image of the preceding one.