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2Mathematics A symbolic expression of the fact that two quantities are equal; an equation.
‘The formal algebraic manipulation of series investigated by Lagrange and Laplace in the 1770s was put in the form of operator equalities by Arbogast in 1800 in Calcul des dérivations.’
‘In a series of papers published over the following years Edmonds examined a whole variety of different conditions on the functions f and g which give the required equalities.’
‘There is a clear violation of strand symmetry in the loop regions: the intrastrand equalities of A = T and G = C expected at equilibrium are not obeyed.’
‘In full equilibrium, as Johnson pointed out, both equalities hold (the economy is at the IS-LM intersection) and the two theories are formally identical.’
‘Relationships between other values from different quantity spaces can be defined using equalities and correspondences.’
Origin
Late Middle English: via Old French from Latin aequalitas, from aequalis (see equal).