In this paper, we introduce and study a new topology related to a self mapping on a nonempty set.Let X be a nonempty set and let f be a self mapping on X. Then the set of all invariant subsets ofX related to f, i.e. f := fA X : f(A) Ag P(X) is a topology on X. Among other things,we nd the smallest open sets contains a point x 2 X. Moreover, we find the relations between fand To f . For insta...

Abstract- Kernel trick and projection to tangent spaces are two choices for linearizing the data points lying on Riemannian manifolds. These approaches are used to provide the prerequisites for applying standard machine learning methods on Riemannian manifolds. Classical kernels implicitly project data to high dimensional feature space without considering the intrinsic geometry of data points. ...

In this study, mitochondrial DNA analysis using 16S ribosomal DNA (rDNA) was performed to investigate the phylogeny relationship of Trichiurus lepturus in the Persian Gulf compared to the other investigated area. The amplification of 16S rDNA resulted in a product of 600 bp in all samples. The results showed that the isolated strain belongs to T. lepturus showing 42 divergence sites among the s...

Species tree methods are now widely used to infer the relationships among species from multilocus data sets. Many methods have been developed, which differ in whether gene and species trees are estimated simultaneously or sequentially, and in how gene trees are used to infer the species tree. While these methods perform well on simulated data, less is known about what impacts their performance ...

Parsimony analysis of endemicity (PAE) was used to identify areas of endemism (AOEs) for Chinese birds at the subregional level. Four AOEs were identified based on a distribution database of 105 endemic species and using 18 avifaunal subregions as the operating geographical units (OGUs). The four AOEs are the Qinghai-Zangnan Subregion, the Southwest Mountainous Subregion, the Hainan Subregion a...

Bayesian inference of species divergence times is an unusual statistical problem, because the divergence time parameters are not identifiable unless both fossil calibrations and sequence data are available. Commonly used marginal priors on divergence times derived from fossil calibrations may conflict with node order on the phylogenetic tree causing a change in the prior on divergence times for...

The evolutionary history of species may be described by a phylogenetic tree whose topology captures ancestral relationships among the species, and whose branch lengths denote evolution times. For a fixed topology and an assumed probabilistic model of nucleotide substitution, we show that the likelihood of a given tree is a d.c. (difference of convex) function of the branch lengths, hence maximu...

In an evolutionarily conserved gene organization (syntenic region), the sigH gene shares exceptionally low homology among staphylococcal species. We analyzed the "positionally cloned" sigH sequences of 39 staphylococcal species. The topology of the SigH phylogenetic tree was consistent with that of 16S rRNA. Certain clinical isolates were successfully differentiated at the species level with th...

The genus Remusatia (Araceae) includes four species distributed in the tropical and subtropical Old World. The phylogeny of Remusatia was constructed using parsimony and Bayesian analyses of sequence data from three plastid regions (the rbcL gene, the trnL-trnF intergenic spacer, and the rps16 intron). Phylogenetic analyses of the concatenated plastid data suggested that the monophyly of Remusa...