equivalent
Language: English
Part of speech: adj
Pronunciation: ipa: /ɪˈkwɪvələnt/
note: Indic
ipa: /ˈiːk(wi)valeɳʈ/
Forms: form: more equivalent
form: most equivalent
form: æquivalent
form: eq.
Etymology: From Latin aequivalentem, accusative singular of aequivalēns, present active participle of aequivaleō (“I am equivalent, have equal power”). By surface analysis, equi- + -valent.
Senses: examples: text: To burn calories, a thirty-minute jog is equivalent to a couple of hamburgers.
text: For now to serve and to minister, servile and ministerial, are terms equivalent.
ref: 1692–1717, Robert South, Twelve Sermons Preached upon Several Occasions, volume (please specify |volume=I to VI), London:
text: 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.
ref: 2012 March 24, Henry Petroski, “Opening Doors”, in American Scientist, volume 100, number 2, pages 112–3:
synonyms: on a par
glosses: Similar or identical in value, meaning or effect; virtually equal.
examples: text: 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.
ref: c. 2005, P N Gupta Kulbhushan, Comprehensive MCQ's in Mathematics, page 3:
text: All enumerable sets are equivalent to each other, but not to any finite set.
ref: 1950, E. Kamke, Theory of Sets, page 16:
text: Equivalent sets should, by rights, have the same "number" of elements. For this reason we sometimes say that equivalent sets have the same cardinality.
ref: 2000, N. L. Carothers, Real Analysis, page 18:
text: 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.
ref: 2006, Joseph Breuer, Introduction to the Theory of Sets, page 41:
topics: mathematics
sciences
synonyms: equinumerous
glosses: Of two sets, having a one-to-one correspondence.
topics: mathematics
sciences
glosses: Relating to the corresponding elements of an equivalence relation.
topics: category-theory
computing
engineering
mathematics
natural-sciences
physical-sciences
sciences
glosses: Of two categories, (informally) such that one is essentially a relabeling of the other; (formally) related by a pair of functors such the composition of the one with the other is naturally isomorphic to the identity functor.
topics: chemistry
natural-sciences
physical-sciences
glosses: Having the equal ability to combine.
topics: cartography
geography
natural-sciences
glosses: Of a map, equal-area.
examples: text: A square may be equivalent to a triangle.
topics: geometry
mathematics
sciences
glosses: Equal in measure but not admitting of superposition; applied to magnitudes.
Derived terms: background radiation equivalent time
banana equivalent dose
biequivalent
bioequivalent
carbon dioxide equivalent
car equivalent unit
cyberequivalent
equivalent airspeed
equivalent dose
equivalentist
equivalently
equivalent potential temperature
equivalent shaft horsepower
equivalent variation
equivalent weight
flight-time equivalent dose
forty-foot equivalent unit
gramme equivalent
inequivalent
jeu de taquin equivalent
microequivalent
milliequivalent
Morita-equivalent
nanoequivalent
nonequivalent
non-union Mexican equivalent
NP-equivalent
osmoequivalent
quasiequivalent
row-equivalent
space equivalent zone
twenty-foot equivalent unit