Cartesian-closedness and Subcategories of (L,M)-fuzzy Q-convergence Spaces

Abstract

In this paper, we first construct the function space of ( L,M )-fuzzy Q-convergence spaces to show the Cartesian-closedness of the category ( L,M )- QC of ( L,M )-fuzzy Q-convergence spaces. Secondly, we introduce several subcategories of ( L,M )- QC , including the category ( L,M )- KQC of ( L,M )-fuzzy Kent Q-convergence spaces, the category ( L,M )- LQC of ( L,M )-fuzzy Q-limit spaces and the category ( L,M )- PQC of ( L,M )-fuzzy pretopological Q-convergence spaces, and investigate their relationships.

Comparative mitogenomic and evolutionary analysis of Lycaenidae (Insecta: Lepidoptera): Potential association with high-altitude adaptation

“…This can explain the high conservation of cox1, a subunit of cytochrome oxidase, which is the fourth central enzyme complex of the respiratory electron transport chain and plays a crucial role in metabolism. The evolutionary rate of cox1 was the slowest among genes in this study, suggesting that purifying selection played a crucial role in its evolution, consistent with results for other insect species (Singh et al, 2017;Chen et al, 2020b;Yuan et al, 2020;Liu et al, 2022b). The harsh environment of the QTP may lead to strong selection pressure.…”

“…The mitogenomes of animals are generally conserved, reflecting their indispensable functions. However, adaptive evolution may alter mitogenomic characteristics (Li et al, 2016;Yuan et al, 2020), resulting in variation in the size, number, and arrangement of genes (Adams and Palmer, 2003;Wang et al, 2014a;Gan et al, 2016;Chen et al, 2020c). In Lycaenidae, mitogenomes are highly conserved in size, structure, and function (Kim et al, 2011;Zhang et al, 2013;Jeong et al, 2017), as supported by analyses of gene content, gene…”

“…Further mitogenomic analyses of additional QTP insect groups will improve our understanding of adaptation to high-altitude environments. A large number of genetic analyses have shown that mitogenomes can be used to analyze adaptive evolution (Korkmaz et al, 2017;Yuan et al, 2018;Yuan et al, 2020;Bartakova et al, 2021).…”

Sensing properties of nonmetal doped blue phosphorene toward NO and NO2 molecules: A first‐principles study

“…The adsorption energy () is calculated to characterize the interaction strength between nonmetal doped blue phosphorene and gas molecules using the formula , where , , and denote the total energy of nonmetal doped blue phosphorene‐gas molecules, nonmetal doped blue phosphorene and an isolated gas molecule, respectively. The charge density differences (CDD) [49] are portrayed by the VESTA package and the charge transfer is calculated based on the Bader charge analysis [50] following the equation , where , , and represent the total charge density of the adsorption system, nonmetal doped substrate, and gas molecule, respectively.…”

First-Principles Calculations of Magnetic Moment Modulation of 3d Transition Metal Atoms Encapsulated in C60/C70 Cages on Si(100) Surfaces: Implications for Spintronic Devices

“…17−21 Pang et al studied the magnetic behaviors of the TM atoms adsorbed on germanene using a first-principles approach, and they showed that the Cr adatom has a large magnetic moment (4.46 μ B ) in germanene. 22 Additionally, the magnetic moment of Mn adsorbed on the Si(100) surface was determined to be 3.642 μ B . 23 Wulfhekel found that the hybridization between individual magnetic atoms and nonmagnetic substrates has a significant influence on the magnetic moments of atoms.…”