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Analysis of the replenishment kinetics was performed using the mathematical model f(t) = A(1 − e−βt), with A representing the blood volume and β the microbubble velocity.
In the training procedure, the aim of LOR is to train a local ranking model f(T, C) = f(x) that can assign a ranking score to a given target-compound pair T and C, with the feature vector x representing the whole target-compound pair [37].
At each next t-th step the algorithm creates an updated model f t, by fitting a base learner h t and adding it to the previous model f t −1.
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The IF models, f (t, Ψ), along with the set of parameters, Ψ, for these classes are given in Table1[16, 21, 31].
In the DC case, present voltage signals of the fine model v f (t) as well as its history, i.e.,v f (t − τ), …, and v f (t − N v τ) are all equal and defined as Vf, DC.
It is obvious that this is a GAC model with f t (x)=IPT x) and ({{boldsymbol {g}}_{boldsymbol {t}}}({boldsymbol {x}}) = text {PT}({{boldsymbol {K}}_{boldsymbol {theta }_{boldsymbol {t}}}}{boldsymbol {x}} phantom {dot {i}!}).
At first, the present voltages of the fine model v f (t) as well as their historyv f (t − τ), v f (t − 2τ), …, and v f (t − N v τ) are mapped into the coarse model voltages v c (t).
In a recent work, Jamil et al. [50] examined the interacting dark energy model in f(T) cosmology assuming dark energy as a perfect fluid and choosing a specific cosmologically viable form f ( T ) = β T Open image in new window.
In Figure 4, we have plotted the sum of the fractional densities contributed by the torsion and the Ricci dark energy, i.e., Ω T + Ω RDE = ρ T 3 H ~ 2 + ρ RDE 3 H ~ 2 Open image in new window under the interaction in the proposed model of f(T) gravity.
To be precise, for 1≤ μ≤ μ0 and 1≤ j< α μ, we search for Boolean dynamic models satisfying f (t j μ ) = t j + 1 μ except for at most [ (n × α 1 ) + (n × α 2 ) + ⋯ + (n × α μ 0 ) ] × ξ time points in which case f (t j μ ) = t j + 1 μ + 1. (2) Conform to the prior information available about the biological system, given by the matrix (ρ i j ).
The on-road state vector is defined as x r ≜ (x r y r z r v r )T and the dynamic target model f r ( x t r, ℐ R N, η t r, ν t r ) in (1) can, as long as the target stays on the same road, be expressed as the linear discrete-time model x t + 1 = f r ( x t r, ℐ R N, η t r, ν t r ) = 1 0 0 T 0 β y r 0 0 0 0 β z r 0 0 0 0 1 x t + η t r (18).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com