The phrase "are assumed given" is not correct in standard written English.
It may be intended to convey that certain conditions or facts are taken for granted, but the phrasing is awkward and unclear.
Example: "In this analysis, certain variables are assumed given, allowing us to focus on the primary factors at play."
Alternatives: "are taken as given" or "are considered as given".
The periodic responses are assumed given in analytic forms which are accurate in the strongly non-linear regime of system parameters.
Within our framework, the synthesis frame vectors are assumed given, and the computational complexity is in the initial determination of frame vector ordering, carried out off-line as part of the quantizer design.
This results in the following likelihood where only λ k is assumed to be a parameter, β k and σ k depend on λ k and Y, X, Z and ĉ=(ĉ k ) k =1,…, K with ĉ k =(ĉ ki ) j ∈ J i, i =1,…, n are assumed given.
It was assumed, given the foreign-investment rule, that BP would have swiftly flipped that stake to Rosneft.
Gordon Edwards, the president of the Canadian Coalition for Nuclear Responsibility, an environmental group in Montreal, said that contamination of the lake had been assumed, given the plant's age, history and location.
The path to be tracked is assumed given, and the nominal trajectories are computed using, for example, well-known algorithms for time-optimal path tracking.
Because the operational precision of the measurement system is usually known, the (sigma_{R}) in the model is assumed given.
In summary, we conducted this analysis with a maximum of data validation, but specific deviations from the general findings and conclusions are to be assumed given the statistical nature of our method and the restricted data set.
We conducted this analysis with a maximum of data validation, but specific deviations from the general findings and conclusions are to be assumed given the statistical nature of our method and the restricted data set.
The growth forecast is assumed given this is a new product for the area using new channels of availability.
Comprehension of English was assumed given that most parts of the education program are conducted in English.
