Reciprocity may mean "a mutual exchange of privileges" and is often applied to things such as professional certification (neighboring states may have a reciprocal agreement so that certification a worker needs is applicable in each).
A reciprocal action or arrangement involves two people or groups of people who behave in the same way or agree to help each other and give each other advantages.
Definition of reciprocal adjective from the Oxford Advanced Learner's Dictionary. involving two people or groups who agree to help each other or behave in the same way to each other. The two colleges have a reciprocal arrangement whereby students from one college can attend classes at the other.
Math. the ratio of unity to a given quantity or expression; that by which the given quantity or expression is multiplied to produce unity: The reciprocal of x is 1/ x.
The reciprocal of a number is 1 divided by that number. It can also be explained as: when the product of two numbers is 1, they are said to be reciprocals of each other.
reciprocal /rɪˈsɪprəkəl/ adj of, relating to, or designating something given by each of two people, countries, etc, to the other; mutual: reciprocal friendship, reciprocal trade
From Latin reciprocus, possibly from a phrase such as reque proque (“back and forth, to and fro ”), from re- (“back”), prō (“forwards”) and -que (“and”). reciprocal (not comparable) (grammar) Expressing mutual action, applied to pronouns and verbs; also in a broad sense: reflexive.
A reciprocal in mathematics is defined as 1 divided by a given quantity. For any non-zero number x, the reciprocal is expressed as x1, which can also be written as x−1. The fundamental property of reciprocals is that when a number is multiplied by its reciprocal, the product equals 1 (unity).