Equation vs Equivalent - What's the difference?
equation | equivalent |
(senseid)(mathematics) An assertion that two expressions are equal, expressed by writing the two expressions separated by an equal sign; from which one is to determine a particular quantity.
(astronomy) A small correction to observed values to remove the effects of systematic errors in an observation.
Similar or identical in value, meaning or effect; virtually equal.
* South
* {{quote-magazine, date=2012-03
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(mathematics) Of two sets, having a one-to-one correspondence; equinumerous.
* Comprehensive MCQ's in Mathematics ,
* 1950 , E. Kamke, Theory of Sets ,
* 2000 , N. L. Carothers, Real Analysis ,
* 2006 , Joseph Breuer, Introduction to the Theory of Sets ,
(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.
Anything that is virtually equal to something else, or has the same value, force, etc.
* Macaulay
(chemistry) An equivalent weight.
In mathematics terms the difference between equation and equivalent
is that equation is (assertion) An assertion that two expressions are equal, expressed by writing the two expressions separated by an equal sign; from which one is to determine a particular quantity while equivalent is relating to the corresponding elements of an equivalence relation.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.equation
English
(wikipedia equation)Alternative forms
* (archaic)Noun
(en noun)Derived terms
(Derived terms) * algebraic equation * Arrhenius equation * chemical equation * differential equation * Diophantine equation * Drake equation * integral equation * Kepler's equation * Lagrange's equations * linear equation * Navier-Stokes equation * parametric equation * partial differential equation * Pell's equation * personal equation * polynomial equation * quadratic equation * * Van der Waals equation * wave equationequivalent
English
(wikipedia equivalent)Alternative forms
* (archaic)Adjective
(en adjective)- For now to serve and to minister, servile and ministerial, are terms equivalent .
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.}}
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.
page 16:
- All enumerable sets are equivalent to each other, but not to any finite set.
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 .
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.
- A square may be equivalent to a triangle.
Usage notes
* (en-usage-equal)Derived terms
* (l)Noun
(en noun)- He owned that, if the Test Act were repealed, the Protestants were entitled to some equivalent .
