The phrase "assumptions given" is correct and usable in written English.
It can be used when referring to assumptions that have been established or accepted in a particular context or discussion.
Example: "Based on the assumptions given, we can proceed with the analysis of the data."
Alternatives: "assumptions provided" or "assumptions stated".
From the initial state assumptions given in this paper, simulated results like dynamic mass, temperature and pressure distribution were validated by experiments; and they had good conformity.
It would also invite unkind assumptions, given the way AIDS has cut through Ukraine, the nation with the worst problem in a region where the disease is spreading with alarming speed.
Even though the evidence showed Tesco was heading in the right direction, by 1999 executives were second-guessing their assumptions, given the conventional wisdom in the United States, where Webvan executives were publicly decrying a store-delivery strategy.
In this paper, it is tried to define suitable assumptions given the situation of ELVs management in Iran to model the problem as a third-party reverse logistics network.
It is true that the upward revisions to the budget figures since February are based on wholly plausible economic assumptions: given recent annual economic growth of 4% per year, the administration's projections for 2.5% or so a year over the next five years are hardly outlandish.
Then it satisfies all the assumptions given in Theorem 3.1.
Lord Lamont said: "The Treasury states the most sensible assumptions give a loss of £3.3bn.
These assumptions give them a theoretical lifetime of the loan which they can use in calculating their APR.
Parametric models derived from simplifying modelling assumptions give an approximated description of the physical system under study.
Examination of the plots indicated that both assumptions give erroneous excess enthalpy of solution, H∞, and hence thermodynamically inconsistent activity coefficients.
Together these two assumptions give rise to the wide-sense stationary, uncorrelated scattering (WSSUS) model.
