The phrase "analytical relationships between" is correct and usable in written English.
It can be used when discussing connections or correlations that can be examined or understood through analysis, often in academic or technical contexts.
Example: "The study aims to explore the analytical relationships between economic factors and consumer behavior."
Alternatives: "analytical connections among" or "analytical links between".
Explicit analytical relationships between refractive indices of the layers and substrate are deduced.
Analytical relationships between the macroelasticity constants of the medium and microstructure parameters have been found.
The availability of explicit solutions, i.e. analytical relationships between the structural response and the design variables, allows a more direct and plain treatment of several structural problems.
The analytical relationships between flutter derivatives reported in the literature are applied with the purpose of halving the number of required numerical simulations for computing the flutter derivatives.
Existing analytical relationships between current and nuclear density are shown to be in error and a truer representation is obtained using the implicit method of numerical simulation.
In all cases, closed-form design equations are derived for the nonideal in-band noise power of all ΣΔ modulators under study, providing analytical relationships between their system-level performance and the corresponding circuit-level error parameters.
An analytical relationship between transverse compressive force and displacement is derived at infinitesimal strain level.
The analytical relationship between various design parameters are obtained using ABCD matrix method to provide a accurate solution.
In this paper, we established an analytical relationship between the gas slippage factor and the structural parameters of porous media.
Up to now, the analytical relationship between processing parameters and the final penetration depth are still not well understood.
The proposed methodology establishes the analytical relationship between the KFCs and KPCs using variation mechanistic models to identify the dimensional variations which caused the failure.
