In recent work of T. Cassidy and the author, a notion of complete intersection was defined for (non-commutative) regular skew polynomial rings, defining it using both algebraic and geometric tools, where the commutative definition is a special case. In this article, we extend the definition to a larger class of algebras that contains regular graded skew Clifford algebras, the coordinate ring of...

Analysis of the whole set of human genes reveals that most of them present TA and GC skews, that these biases are correlated to each other and are specific to gene sequences, exhibiting sharp transitions between transcribed and non-transcribed regions. The GC asymmetries cannot be explained solely by a model previously proposed for (G+T) skew based on transitions measured in a small set of huma...

The contragredient transformation A 7→ P−1AP−T, B 7→ PTBP of two matrices A,B effects simultaneous similarity transformations of the products AB and BA. This work provides structured canonical forms under this transformation for symmetric or skew-symmetric A,B. As an application, these forms are used to study the quadratic matrix equation XAX = B, where both A,B are skew-symmetric or symmetric ...

let $alpha$ be an endomorphism and $delta$ an $alpha$-derivationof a ring $r$.  in this paper we  study the relationship between an$r$-module $m_r$ and the  general polynomial module  $m[x]$ over theskew polynomial ring $r[x;alpha,delta]$. we introduce the notionsof skew-armendariz modules and skew quasi-armendariz modules whichare generalizations of $alpha$-armendariz modules and extend thecla...

In order to fully comprehend the evolution and kinship of fishes in family Loricariidae, complete mitochondrial genome Loricariidae fish Ancistrus temmincki was firstly characterized present study. The whole mitogenome 16,657 bp size consisted 13 protein-coding genes, 22 tRNAs, 2 rRNAs a control region origin light-strand replication. proportion coding sequences with total length 11,473 68.88%,...

Let \begin{document}$ \mathbb{T} $\end{document} be the unit circle and \Gamma \backslash G 3 -dimensional Heisenberg nilmanifold. We prove that a class of skew products on \times are distal, Mobius function is linearly disjoint from these products. This verifies Disjointness Conjecture Sarnak.

Finite mixtures of multivariate skew t (MST) distributions have proven to be useful in modelling heterogeneous data with asymmetric and heavy tail behaviour. Recently, they have been exploited as an effective tool for modelling flow cytometric data. A number of algorithms for the computation of the maximum likelihood (ML) estimates for the model parameters of mixtures of MST distributions have ...

Complex longitudinal data are commonly analyzed using nonlinearmixed-effects NLME models with a normal distribution. However, a departure fromnormalitymay lead to invalid inference and unreasonable parameter estimates. Some covariates may be measured with substantial errors, and the response observations may also be subjected to left-censoring due to a detection limit. Inferential procedures ca...

One of the main challenges in indoor time-of-arrival (TOA)-based wireless localization systems is to mitigate non-line-of-sight (NLOS) propagation conditions, which degrade the overall positioning performance. The positive skewed non-Gaussian nature of TOA observations under LOS/NLOS conditions can be modeled as a heavy-tailed skew t-distributed measurement noise. The main goal of this article ...