The phrase "assumption is given" is correct and usable in written English.
It can be used in contexts where you want to indicate that a particular assumption has been established or accepted as a starting point for discussion or analysis.
Example: "In this analysis, the assumption is given that all participants have equal access to resources."
Alternatives: "assumption is established" or "assumption is accepted".
The key assumption is, given occupation-specific human capital, it might be harder to change occupations (compared to changing location).
A simple kinetic analysis of adsorption under the pseudo-first-order assumption is given by Eq. 3.
In order to proceed with the main result on exponentially practical stability in the pth-moment of a singular system with delay and disturbance (2.1), we make the following assumption; an explanation for this assumption is given in Remark 3.2.
The adaptive matched filter (AMF) [20] detector under the assumption is given by frac{left | mathbf{s}^{H}mathbf{R}^{-1}mathbf{x} right |^{2}}{mathbf{s}^{H}mathbf{R}^{-1}mathbf{s}} underset{{H_{0}}}{overset{{H_{1}}} tau, (3).
A simple kinetics analysis of the process under the pseudo-first-order assumption is given in Eq. 8 below (Adeogun et al. 2011; Lin et al. 2011): frac{{{text{d}}Q}}{{{text{d}}t}} = k_{1} (Q_{e} - Q_{t} ) (16 where Q e and Q t are the dye concentrations (mg g−1) at equilibrium and at time t (min), respectively, k 1 is the adsorption rate constant (min−1), and t is the contact time (min).
The argument supporting this assumption is given in the Discussion.
A first indicator of this assumption was given in the descriptive section when two variables were discussed that measure who has the decision power over income and who has the final say in financial decisions.
The hypotheses of the assumption are given below: 1. the nonlinear characteristic of the load-crack mouth opening displacement (P-CMOD) curve is caused by fictitious crack extension in front of a stress-free crack; and 2.
Full results of the diagnosis delay experiments with the declining AVEi assumption are given in Support Information Text S1.
The alternative methods which are not based on the assumption, are given under suitable dose-response curves by introducing a risk level.
An explanation of the limitations of these assumptions is given through analytical developments and numerical results obtained from a discrete model.
