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"based on reciprocity" is a correct and common phrase in written English.
It can be used to describe a situation where one person or group gives something to another person or group, with the expectation of receiving something in return. This concept is often used in diplomatic relations between countries, business negotiations, and personal relationships. Example: The trade agreement between the two countries was based on reciprocity, with each country agreeing to lower tariffs in exchange for access to the other's market.
Exact(41)
If only the program had been well thought out, based on reciprocity between the generations and young and old were prepared to meet one another.
"All negotiations are based on reciprocity," he said.
They want relationships based on reciprocity, transparency and authenticity.
When apparent altruism is not between kin, it may be based on reciprocity.
Thus, primitive societies were characterized primarily by a system based on reciprocity.
"The old relationship between business and education was not based on reciprocity," said Michael Walsh, Smithtown's interim superintendent.
Similar(19)
Regarding the channel from the CR transmitter to PU receiver, the knowledge would be available in a TDMA/TDD-based PU system (like a WLAN) based on channel reciprocity, if the PU transmission power is known.
A spiritual and reserved people, Cañaris follow a social code based on the reciprocity of goods and services.
We develop the mode sorting method to distinguish modes based on the reciprocity relation of the magneto-electro-elastic media.
Following the identification approach proposed to solve this problem and which is based on the reciprocity theorem, the impact location characteristics were determined by using particle swarm optimization algorithm.
The definition of the sensitivity is further developed based on the reciprocity principle, through employing two approaches: selecting the moment when the displacement of drive point is zero as the calculation moment; reducing the degree of high-order static indeterminacy by taking a half of the structure due to symmetry in structure and anti-symmetry in load.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com