The phrase "derive the relationship between" is correct and usable in written English.
You can use it when discussing the process of establishing a connection or correlation between two or more variables or concepts.
Example: "In this study, we aim to derive the relationship between temperature and pressure in gas behavior."
Alternatives: "establish the connection between" or "determine the correlation between".
We first use mathematical derivations to explicitly derive the relationship between the c-statistic and the outcome odds ratio and the variance of the continuous explanatory variable under the assumption that the continuous explanatory variable follows a normal distribution in subjects with and without the outcome.
Finally, we derive the relationship between the period map and the scattering matrix containing the information on the localized modes.
Statistical methods were applied to derive the relationship between air velocity and the other parameters as mentioned earlier.
We rigorously derive the relationship between the initial number of particles in the system and the amplitude of white noise represented by that number.
We derive the relationship between the average queuing delay for each class and these parameters, as well as the upper and lower bounds of the average queuing delay for each class.
The hourly and daily sewer and pumped flow records were analyzed to derive the relationship between the flow factors that would be sustained for various durations (instantaneously, 1 h, 2 h, etc).
To derive the relationships between ECe (from soil surface to 1 m) and the auxiliary data, regression tree analysis was applied.
To tackle this challenge, the authors first conducted computer simulations using real-time position management respiratory signals of the 29 cancer patients under an IRB-approved retrospective study to derive the relationships between NR and the following factors: number of slices (NS), number of 4D-MRI respiratory bins (NB), and starting phase at image acquisition (P0).
By using Cytoscape plug-ins, interactome data were interpolated with structural information on AM proteins, to derive the relationships between structural motifs and interactions.
Biologists have taken modeling by analogy beyond most other disciplines, deriving the relationship between model and target through evolution.
By using this approach to the cantilever beam problem one theoretically derives the relationship between the loss factor and the maximum stress amplitude in each mode of vibration.
