Network communication and micro-electro-mechanical embedded technologies have attracted much attention in recent years. Through these technologies, the capabilities of sensing, identification, and communication can be embedded in various smart devices. These smart devices can automatically connect to the Internet and form an intelligent network called Internet of Things (IoT). However, these de...

The aim of the present study was to identify key genes that may be involved in the pathogenesis of Tetralogy of Fallot (TOF) using bioinformatics methods. The GSE26125 microarray dataset, which includes cardiovascular tissue samples derived from 16 children with TOF and five healthy age‑matched control infants, was downloaded from the Gene Expression Omnibus database. Differential expression an...

let a be a banach algebra and e be a banach a-bimodule then s = a  e, the l1-direct sum of a and e becomes a module extension banach algebra when equipped with the algebras product (a; x):(a′; x′) = (aa′; a:x′ + x:a′). in this paper, we investigate △-amenability for these banach algebras and we show that for discrete inverse semigroup s with the set of idempotents es, the module extension bana...

let $r$ be a commutative ring with identity and $m$ be a finitely generated unital $r$-module. in this paper, first we give necessary and sufficient conditions that a finitely generated module to be a multiplication module. moreover, we investigate some conditions which imply that the module $m$ is the direct sum of some cyclic modules and free modules. then some properties of fitting ideals of...

From *Spine Technology and Rehabilitation, Fort Wayne, IN, Indiana University School of Medicine, Fort Wayne, IN, Associates in Rehab, Miami Beach, FL. Address Correspondence: Joseph D. Fortin, DO, Spine Technology and Rehabilitation, 7230 Engle Road, Suite 210, Fort Wayne, IN 46804. Email: [email protected] Funding: There was no external funding in preparation of this manuscript. Sacroiliac joint...

We define a new category analogous to ${\bf FI}$ for the $0$-Hecke algebra $H_n(0)$ called category, $\mathcal{H}$, indexing sequences of representations as $n$ varies under suitable compatibility conditions. establish type representation stability in this setting and prove it is implied by being finitely generated $\mathcal{H}$-module. then provide examples $\mathcal{H}$-modules discuss furthe...

Diffused Expectation Maximisation (DEM) is a novel algorithm for image segmentation. The method models an image as a finite mixture, where each mixture component corresponds to a region class and uses a maximum likelihood approach to estimate the parameters of each class, via the expectation maximisation (EM) algorithm, coupled with anisotropic diffusion on classes, in order to account for the ...

In this paper we introduce and develop the theory of FI-modules. We apply this theory to obtain new theorems about: • the cohomology of the configuration space of n distinct ordered points on an arbitrary manifold; • the diagonal coinvariant algebra on r sets of n variables; • the cohomology and tautological ring of the moduli space of n-pointed curves; • the space of polynomials on rank variet...

The conjectures of M. Boij and J. Söderberg [3], proven by D. Eisenbud and F.-O. Schreyer [8] (see also [7, 4]), link the extremal properties of invariants of graded free resolutions of finitely generated modules over the polynomial ring S = k[x1, . . . , xn] with the Herzog–Huneke–Srinivasan Multiplicity Conjectures. Here k is any field and S has the standard Z-grading. In the course of their ...

Currently, the integration of long-range (LoRa) and internet things (IoT) has been widely adopted in various applications for real-time monitoring with reliability. These technologies empower us to achieve goal United Nations establishment an inclusive, safe, resilient, sustainable environment. The automation, monitoring, controlling streetlights is a necessary task development smart infrastruc...