noun, plural equalities.
the state or quality of being equal; correspondence in quantity, degree, value, rank, or ability.
uniform character, as of motion or surface.
Mathematics. a statement that two quantities are equal; equation.

1350–1400; Middle English < Latin aequālitāt- (stem of aequālitās). See equal, -ity

proequality, adjective
subequality, noun, plural subequalities.

1. equivalency, parity, correspondence, sameness; justice, fairness, impartiality.
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Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
equality (ɪˈkwɒlɪtɪ)
n , pl -ties
1.  the state of being equal
2.  maths a statement, usually an equation, indicating that quantities or expressions on either side of an equal sign are equal in value

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
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Word Origin & History

c.1400, in reference to amount or number, from O.Fr. équalité (Mod.Fr. égalité), from L. aequalitatem, from aequalis (see equal). Of privileges, rights, etc., from 1520s.
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
The guiding principal for us was to try to construct more equality and quality
  of life.
America is built on the idea of political equality.
In their time, the notion of equality was almost literally unthinkable.
It undermines the principle of equality, which can have far-reaching effects.
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