Sameness.
It means the quality or state of being equal.
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product and reaction are equality favored in the reaction
An algebraic expression is a collection of terms with no equality sign
An expression is a collection of algebraic terms that does not include an equality sign
This is a big question . . . to make headway you might think more about the question before looking for a "correct" answer. Its answer won't be simple, anyway! Social theorists speak of political equality and civil equality, suggesting that they aren't the same thing. Social equality seems to differ from these two. Then there's economic equality -- is this what you might mean by "equality of conditions"? Trying to sort through these various sorts of equalities should help you to better understand your question. Understanding the question is a big step towards finding its answer! one person has more money for hiring a lawyer than the other
equality of opportunity and equality before the law