Finally, we provide examples of these GO term semantic similarity approaches, illustrating the computation of term semantic similarity values.
In the computation of term (I) of the recurrence, O(22 m ) expressions are examined, and each expression is computed in O(m) running time.
It is simple to observe that an explicit computation of term I of the equation with respect to some subtrees T u v and S u ′ v ′ can be conducted in O(d u ) time.
In this section, we show how to improve the time complexity of Algorithm 1, by incorporating cavity matching subroutines to speed up the MCM computations due to term III of Equation 7. Let u ∈ T, u′ ∈ S, and consider the computation of term III of Equation 7 for instances in the first row in H u, u ′.
The computation of term (II) is a Max Plus vector multiplication of the form μ X, Y = ⊕ Q ∈ X, Y ) (β X, Q ⊗ β Q, Y ), and thus the recursive formulation abides by the standard VMT settings for the Multiple String Inside VMT requirements, as listed in Definition 3. Therefore, the SAF problem with an instance S can be solved in Θ (M (|| S||)) = o (|| S||) running time.
In this method, only instantaneous terms are used, thereby avoiding the computation of distributed terms.
The DRY probe is a specific probe to compute hydrophobicity that can be estimated by means of the computation of three terms: the Lennard-Jones potential (that includes stacking, induction, and dispersion interactions with a maximum around -2.0 kcal/mol), the entropic (about -0.8 kcal/mol) and hydrogen-bonding contributions.
Therefore, the model is implicitly contained within the discretization, and an explicit computation of model terms becomes unnecessary.
When applied to the solid-to-shell homogenization of a sandwich structure with unequal skins, the MPBCs enable the computation of all terms of the fully-populated ABD matrix with negligible error, of the order of machine precision.
In the shared task, however due to insufficient time for customization, we decided to exclude the computation of interaction terms.
