The first part of the paper deals with the improvements on the analysis with analytical formula to consider the restraining forces due to the drawbeads.
In the presence of expanding rules, such as Lifting, this is not immediately obvious: the transitivity inference from A ⊢ B and B ⊢ C to A ⊢ C involves a 'lemma' formula B which disappears from the conclusion, and there is an infinite number of candidate lemma formulas to consider.
Feeding formulas to consider are anti-inflammatory, immune-modulating, GI tolerance-promoting, and standard enteral nutrition.
Here we extend this formula to consider all components of the weighted adjacency graph.
Although the generality of formulae for calculating the final epidemic size have been discussed previously, we offer an alternative probabilistic argument and then use this formula to consider the optimal deployment of vaccine in spatially segregated populations that minimises the total number of cases.
The second part of the paper is dedicated to the presentation of some analytical formulae used to consider the rigid skin effect.
Two approaches to the evaluation of such formulas are to consider fundamental biological concepts that support the quantitative formulas (e.g., toxicologic similarity) and to determine how well the proposed method performs under simplifying constraints (e.g., as the toxicologic interactions disappear).
(2) Some analytical formulas are introduced to consider the restraining forces due to the drawbeads.
Furthermore, in the stress minimization examples, the derived formula was extended to consider thermal effects in the failure theories for pressure independent and dependent materials.
Generally, it is calculated by the ZBS model, where the contact area fraction φ is an empirical value for the description of the contact conduction, and the Argo & Smith formula is used to consider the radiation effect.
