This note investigates modules having quasi-injective and duo submodules. We introduce a new generalization of C_1-module. The main method that was adopted in this is how to obtain submodule N M the characteristic Quasi-injective. investigate relationship between pseudo-injective module Quasi-injective property Finally, we anti-hopfian module.

High-speed railway catenaries are vital components in traction power supply systems. To ensure stable contact between the pantograph and catenary, droppers positioned messenger wire line. The failure of one or more will affect catenary operation railway. In this paper, we modify You Only Look Once version five (YOLOv5) model several ways propose a method for improving identification dropper sta...

background: several studies have established that all nurses need continuing education, especially those who are working in oncology wards. in the current programs, there are just two general patterns for teaching: teacher-centered and student-centered patterns. in this study, the effect of teacher-centered (lecture) and student-centered (module) teaching methods in relation to safety standards...

Changes in shape of the mandibular dental arch were demonstrated in a developmentally representative sample of human embryos. Each reconstructed arch was described in terms of a conformance to a reference geometric curve; ie, catenary. Cross-sectional sample trends showed that the initial dental lamina is anteroposteriorly flattened during the sixth week and begins a progressive elongation and ...

To understand how protein reduces the conformational space to be searched for the native structure, it is crucial to characterize ensembles of conformations on the way of folding processes, in particular ensembles of relatively long-range structures connecting between an extensively unfolded state and a state with a native-like overall chain topology. To analyze such intermediate conformations,...

In this paper, we define the higher Frobenius-Schur (FS-)indicators for finite-dimensional modules of a semisimple quasi-Hopf algebra H via the categorical counterpart developed in a 2005 preprint. When H is an ordinary Hopf algebra, we show that our definition coincides with that introduced by Kashina, Sommerhäuser, and Zhu. We find a sequence of gauge invariant central elements of H such that...

It is proved that the module of pseudo-rational relations determines a quotient divisible group up to quasi-isomorphism.

Self-organization is a phenomenon found in biomolecular self-assembly by which proteins are spontaneously driven to assemble and attain various functionalities. This study reports on self-organized behavior in which distributed centimeter-sized modules stochastically aggregate and exhibit a translational wheeling motion. The system consists of two types of centimeter-sized water-floating module...