Sentence examples for be 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).

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

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.

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

Based on these analyses, a provisional system network can be formulated, as shown in Fig. 1 below.

We will show below that the aforementioned problems can be formulated as mixed integer-linear programs (MILP) and then efficiently solved by DCA.

Mathematically, this optimization can be formulated as.

These can be formulated as follows.

Walras equilibrium may be formulated as follows.

The objective function can be formulated as.