The phrase "are derived depending on" is not correct in standard written English.
It is typically used to indicate that something is obtained or developed based on certain conditions or factors, but the construction is awkward.
Example: "The results are derived depending on the methodology used in the experiment."
Alternatives: "are obtained based on" or "are determined by".
Three procedures are derived depending on the criteria used to compare the estimated matrix with the predetermined one.
Various error estimates are derived, depending on the regularity of the data and on the choice of the finite elements.
Using the bifurcation theory of planar dynamical systems, two new analytical traveling wave solutions for solitary and periodic waves are derived depending on the parameters (alpha, alpha _1, q, l) and U. Considering an external periodic perturbation, the chaotic behavior of dust acoustic traveling waves is investigated through quasiperiodic route to chaos.
Different CRLBs can be derived depending on assumptions regarding the transmitted signals.
A single lateral-torsional buckling formulae is derived, depending on both the horizontal and the vertical connection parameters.
Based on a comprehensive hydrodynamic analysis, requirements for sparger refinement were derived depending on respective reaction rates, mixing properties, heat production and removal duty.
Significantly different first-order rate constants related to attainment of equilibrium, kobs, were derived depending on the type of oil/oil mixtures used in the release experiments.
Passing through the framework as Figure 4, the extent of the IT convergence for each industry is derived depending on the corresponding section of I IX as follows in Table 5.
In this section, the total cost (TC) is derived depending on the model presented in [30] with some modifications to make it suitable for comparison with the proposed CSPMIPv6.
The existence of a solid inner core places constraints on the volatile content of the core and an upper limit to the concentration can be derived depending on the radioactive heat source density in the mantle, the thermal history, the nature of the volatiles, and the details of the melting relations.
Specifically, two different families of time-causal receptive fields can be derived depending on whether we require (i) a continuous semigroup structure over a continuum of temporal scales or (ii) fixate the temporal scale levels to be discrete a priori.
