Exact(1)
In this work, we show how the task of identifying age-dependent gene expression patterns from ageing microarray datasets can be formulated as a model selection problem and solved accordingly.
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Thus, the benchmark dataset S can be formulated as (1) S = S 1 ∪ S 2 ∪ ⋯ ∪ S 100, where S i represents the subset that contains the drugs with the side effect C i (i = 1,2,…, 100).
Thus, the benchmark dataset S can be formulated as (1) S = S 1 ∪ S 2 ∪ ⋯ ∪ S 11, where S i represents the set of proteins with tag T i.
Accordingly, the dataset DS2 can be formulated as follows: (1) D S 1 = S 1 ∪ S 2 ∪ ⋯ ∪ S 56, where S i is a subset of DS2 containing drugs labeled by indication D i.
The benchmark dataset S can be formulated as (1) S = S + ∪ S - where the subset S+ contains 525 DNA-binding proteins, the subset S- consists of 550 non DNA-binding proteins and the symbol ∪ represents the "union" in the set theory.
For the current study, the benchmark dataset 𝕊 can be formulated as (1) 𝕊 = 𝕊 + ∪ 𝕊 −, where 𝕊+ is the positive subset that consists of the interactive enzyme-drug pairs only, while 𝕊− is the negative subset that contains of the noninteractive enzyme-drug pairs only, and the symbol ∪ represents the union in the set theory.
Mixed fertilizers can be formulated in hundreds of ways.
Few recommendations can be formulated.
Mathematically, this optimization can be formulated as.
These can be formulated as follows.
The objective function can be formulated as.
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