The phrase "are determined in relation" is correct and usable in written English.
It can be used when discussing how certain factors or outcomes are influenced or defined by their connection to other elements.
Example: "The success of the project outcomes are determined in relation to the resources allocated and the team's expertise."
Alternatives: "are influenced by" or "are defined in connection with".
Projections for 2025 are determined in relation to 1995 data.
The penetration of the tanker vessel as well as the time to rest from the initiation of the collision are determined in relation to the failure criteria.
These benchmarks are determined in relation to the CEFR levels.
Kant is suggesting, therefore, that the precise sense in which particular empirical laws themselves become necessary is that they, too, are "determined" in relation to actual perceptions "in accordance with the general conditions of experience" (where the latter, of course, essentially include the "pure laws of the understanding," i.e., the principles).
This preprocessing step is not part of the lipreading system and it is usually included in the face detection block because the position of the mouth, its size and alignment are determined in relation to other face features (the eyes, the tip of the nose).
In each set of experiments, the deamination activities of mutants were determined in relation to wt hAID.
Additionally, relationships between retention score and flow were determined in relation to the same variables.
The total ammonia nitrogen (TAN) excretion of spiny lobsters Jasus edwardsii and Panulirus cygnus, was determined in relation to temperature, body weight, emersion, daily rhythm and feeding.
Using a conventional structural analysis and a Kriging method, an optimal rotation angle is determined in relation to canister diameter and weight.
Compressive and flexural strengths have been determined in relation to the amount of CF added to the mix, water/cement ratio (w/c), curing time and porosity.
