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In Fig. 7, since the objective of IPMCD and IPMCD-A is to distinguish the malicious users from the non-malicious ones, we define a new metric which is the reputation sorting error probability.

More specifically, in case matrix A contains A0 zeroes and A1 ones, and matrix B contains b0 zeroes coinciding with the zeroes of A and b1 coinciding ones, we define R1 = b1/ andand R0 = b0/ A0.

Among the nonviable ones, we define "helpers" as those sequences which can replicate other molecules but cannot be replicated, "stallers" can engage molecules in complex, but can neither replicate them nor be replicated, "junk" cannot form complexes (these phenotypes are mostly inert), and "hybrids" sequences display a helper-like phenotype on one strand and staller-like on the other.

If a generalized sequence arises more than u times in D, i.e., | p s| ≥ u, with more forward occurrences than backward ones, we define it as a sequential pattern p. The definition of sequential pattern is relaxed or generalized by allowing searching window and even allowing backward lookup.

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In the first one we define an integral transform whose kernel is (varphi(cdot,lambda)), while in the second one the sampled transform will be defined in terms of the Green's matrix.

In the first one, we define a parametrized Poincaré-type T-translation operator whose fixed points are the restrictions to the interval [ − T, 0 ] of the T-periodic solutions of (3.1).

The first one is the one we define here as the transforaminal approach; possible variations of this name include far lateral endoscopic approach, posterior-lateral endoscopic approach, and arthroscopic far lateral/posterior-lateral approach.

To summarize, for each homogenous cluster i, we define one model (lambda _{i}^{(C_{i})}), i=1,⋯,K 1, for the dominating class C i.

During the first one, we defined, with parameters obtained from unidirectional tests, the mechanical laws (elasticity, plasticity and viscosity properties of polymers) of materials involved in the envelope.

When there is more than one confounder, we define one super-confounder, where each category corresponds to a sub-category.

On the one hand, we define an acquisition module that allows simultaneous acquisition of up to three monochrome cameras.

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