The phrase "a function of the relationship" is correct and usable in written English.
It can be used to describe how one variable or aspect is influenced by or dependent on the nature of a relationship between two or more entities.
Example: "The success of the project is a function of the relationship between the team members and their ability to communicate effectively."
Alternatives: "dependent on the relationship" or "determined by the relationship".
It is a function of the relationship between two states that are potential adversaries, each equipped with large numbers of nuclear weapons.
First, in many cases the motive to inflict help is a function of the relationship, or, more precisely, our interpretation of our role in that relationship.
This paper also explores the stability properties as a function of the relationship between homeostasis time scale and the weight time scale.
Fergusson et al. [13] presented an analysis of wheel wear as a function of the relationship between the lateral and longitudinal primary suspension stiffness and the coefficient of friction at the center plate between the wagon body and the bolster.
Handicap is therefore a function of the relationship between disabled persons and their environment.
These and other findings raise the question, to what extent are aftereffects determined by adaptation to the inspection stimulus, and to what extent are they a function of the relationship between the adapting and probe stimulus?
The structuralist takes the view that the meaning of a word is a function of the relationships it contracts with other words in a particular lexical field, or subsystem, and that it cannot be adequately described except in terms of these relationships.
But he also wrote: "This impact is a function of the contractual relationship that residents choose when they elect to purchase property or live in Twin Rivers -- its burdens come with concomitant benefits".
The net change is a function of the systematic relationship between the cause of illness, other diseases, and spending patterns.
Maybe this is a function of the close relationship these readers have with Rowling's original works, but I think the more likely culprit is that so many of her readers are used to a world where the default setting is "white".
Augmentation of SV due to increases in EDV will necessarily (as a function of the mathematical relationship) be associated with elevations in EF and SWI, even if there is no increase in actual contractility.
