The operator method in this paper is quite elementary and it also could be applied for random sums S N n = ∑ k = 1 N n X n k, S 0 = 0, where N n, n = 1, 2, … are positive integer-valued random variables, independent of all X n k, k = 1, 2, …, n ; n = 1, 2, … .
Transposon-mediated directed mutations and restriction-enzyme-mediated integrations (REMI) have long been applied for random insertional mutagenesis in fungal species (Braumann et al. 2007; Brown et al. 1998; Daboussi 1996; Linnemannstöns et al. 1999).
Corrections were applied for random effects, geometry, attenuation, and scatter.
However, as a supervised approach, accurate classification requires the availability of reliable annotated training data for the gene of interest, and cannot be applied for annotating any random sequence extracted from the environment.
Moreover, the current framework can be applied for refinement in both random and physical space.
The operator method used in this paper is quite elementary and it also could be applied for the probability distributions of random sums S N n = ∑ k = 1 N n X n k in the Poisson approximation, where N n, n = 1, 2, … , are positive integer-valued random variables, independent of all X n k, k = 1, 2, …, n ; n = 1, 2, … .
(1) Various methods that can be applied for the exchange step, such as random exchange [20], exchange depending on the divergence between the empirical distribution, and the complete particle population or exchange of the representative particles to further improve the filter's performance.
Here, conventional image segmentation algorithms can be applied, for example, those based on combined Markov random fields [51], or probabilistic bottom-up aggregation [52].
Random effect models will be applied for longitudinal analyses.
Corrections were applied for attenuation, randoms, scatter and radioactive decay.
Feature of local interactions is not related to the specific nature of the mutual arrangement of the inclusions as well as to their shape, so the method has been applied for composites with random structures (Anoshkin et al. 1991).
