We formally illustrate by modeling silica bilayers as body–hyperpin systems and cross-linking microfibrils as pinned line-incidence systems.
We formally illustrate the role that governor term length, in the Online Appendix A. We develop a simple model of strategic behavior between a governor and the SSA in the context of different legal regimes for disability determinations.
Formally, as illustrated in Algorithm 1, we use a vector q(0) = (q i (0))(l + m + n )×1 to represent initial probabilities when a random walker starts a journey, with q i (0) (i = 1,…, l + m + n) being the probability that the walker initially starts from the ith node.
The observer convergence is formally analyzed and illustrated by simulation.
On the other hand, some epistemological questions can only be answered formally, as is illustrated by the following example (modeled after one given by Sven Ove Hansson in Hendricks & Simons 2005).
We illustrate formally how fuzzy logic-based methodological rules can help in lowering the effects of quantization error and contextual bias problems.
Given that there is no morphological difference between stative verbs and adjectives in Mandarin, the verbal vs. adjectival contrast lexically coded in English (envy vs. be envious of, as illustrated in 2 above) is formally neutralized and indistinguishable in Mandarin.
The performances of the proposed control strategy are formally analyzed and its supremacy with respect to standard control solutions is illustrated through simulation.
This procedure, which was formally detailed in a previous report [ 3], is illustrated in Figure 1 for the sequence ACTGCC.
This is illustrated in Additional file 1: Figure S1 and formally confirmed by a significant regression showing that more reads came from the later exons within a gene (as will be discussed later).
The performances of the proposed control strategy are formally analysed and their supremacy with respect to the standard control solution is illustrated through a simulation study, using a 7.5 KW machine.
