equalityɪˈkwɒl ɪ ti
equality (n)
- plural
- equalities
equality
English Definitions:
equality (noun)
the quality of being the same in quantity or measure or value or status
equality, equivalence, equation, par (noun)
a state of being essentially equal or equivalent; equally balanced
"on a par with the best"
equality (Noun)
The fact of being equal.
equality (Noun)
The fact of being equal, of having the same value.
equality (Noun)
The equal treatment of people irrespective of social or cultural differences.
Equality
In mathematics equality is a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value or that the expressions represent the same mathematical object. The equality between A and B is written A = B, and pronounced A equals B. When A and B may be viewed as functions of some variables, then A = B means that A and B define the same function. Such an equality of functions is sometimes called an identity. For example ² = x² + 2x + 1. When A and B are not fully specified or depend on some variables, equality is a relation which may be true for some values and false for some other values. This allows to consider equality as a binary operation which may produce the two results false and true. In computer programming, this is this interpretation of equality that is used in conditional statements. In some cases, one may consider as equal two mathematical objects that are only equivalent for the properties that are considered. This is, in particular the case in geometry, where two geometric shapes are said equal when one may be moved to coincide with the other. The word congruence is also used for this kind of equality.²²RRR
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