Sentence examples for formulated as below from inspiring English sources

Specifically, logistic regression can be formulated as below: 1 in which x i represents a certain type of histone modification, y represents the CE inclusion level and β i is the regression coefficient.

In addition, from the extracted exhaustive set of node behaviours, a Markov-based transition probability matrix can be formulated as below in (10).

The aggregation is formulated as below: D i j = ( 1 / m ) ⊗ ( D i j 1 ⊕ D i j 2 ⊕ … ⊕ D i j m ), t = 1, 2, …, k (1 where, ⊗ is the multiplication of fuzzy numbers, ⊕ is the add operation of fuzzy numbers, and D ij is the overall average weighting valuation of alternative i under criterion j over m assessors.

We used Shannon's entropy equation [55] which can be formulated as below

The bi-level optimization PDP problem can be formulated as explained below.

Hence, in order to determine a sole flux vector, a linear optimization problem to maximize a cellular objective such as the growth rate (represented by the objective weight vector, c) in the presence of bound constraints on the fluxes (v) is formulated as show below.

Indeed, this common structure (formulated as the proposition below) was previously reported in [20, 45, 49] among others.

We obtain a new result even for linear equations with constant and periodic coefficients which is formulated as the corollary below.

On the other side when the end-point is formulated as Hb reduction below 10 g/dl a higher baseline Hb is associated with a lower risk to reach this endpoint (for the same reasons).

Pielou's evenness based on Shannon's index is formulated as in the equation below (Heip 1974).

According to the NP test criterion, the search for the optimal thresholds (lambda _{0,k}^) and (lambda _{1,k}^) with respect to each frame k is formulated as the optimization problem below begin{array}{*{20}l} &max_{lambda_{0,k},lambda_{1,k}} P_{d,k} (lambda_{0,k},lambda_{1,k}) &s.t.t