Danh mục: Story

Abstract In this study, we investigate a nonsmooth and nonconvex optimization problem with an unbounded feasible set. Leveraging recent advancements in variational analysis at infinity, we establish novel necessary and sufficient optimality conditions formulated in terms of the normal cone and limiting subdifferentials at infinity. Moreover, by introducing newly defined sets, we analyze asymptotic conditions...

Abstract Cell surface receptors play vital roles in cancer growth and metastasis. Integrin αvβ3 is overexpressed in various cancer cells and interacts with different growth factors to stimulate cancer progression. Thyroid hormone binds to αvβ3 to activate signal transduction and cell proliferation. However, thyroxine (T4) deaminated analogue, tetraiodothyronine (tetrac), competes for the binding on integrin...

Abstract  This paper investigates conditions under which a matrix over an involutory division ring can be expressed as a product of Hermitian matrices, and estimates the minimal length of such factorizations. Let D be a division ring with center F and involution ⁎. Among others, we prove the following results: (1) every non-invertible square matrix over D is the product of...

Abstract Paper waste sludge (PWS) generated by the pulp and paper industry is a cellulose-rich residue that remains largely underutilized and presents disposal challenges. In this study, an integrated chemical–biological process was developed to valorize PWS into high-value bacterial cellulose (BC) through sulfuric acid–catalyzed hydrolysis followed by fermentation with Acetobacter xylinum. The hydrolysis step was statistically...

Abstract The rapid growth of information dissemination on social networks such as Facebook and Twitter, along with the widespread of mobile devices, has intensified the need for early yet accurate rumor detection methods. While existing hybrid machine learning models integrating natural language processing (NLP) and graph neural networks (GNNs) show promising results but often lack...

Abstract In this work, TiO2@g–C3N4 was synthesized and formulated as a novel ready-to-use screen-printable paste for water splitting applications. Various analytical methods were employed to examine the composition, morphological characteristics, and optical properties of the individual materials and the resulting heterojunction. Photoelectrochemical (PEC) water splitting was investigated under illumination of 100 mW cm-2 using linear chopped-light chronoamperometry...

Abstract We study the images of polynomial maps over algebraically closed division rings.Our first result generalizes the classical Ax-Grothendieck theorem: We show that if ƒ1,…, ƒm are elements of the free associative algebra D〈 Χ1,…,Χm〉 generated by m ≥ 1 variables over an algebraically closed division ring D of finite dimension over its center F, and if the...

Abstract We investigate the coupled evolution of heterogeneous strain, crystallinity, and stress fields in natural rubber (NR) sheets containing a circular hole during uniaxial stretching, with a focus on how strain-induced crystallization (SIC) influences local stress concentration at structural discontinuities. By high-resolution digital image correlation, an empirical strain-crystallinity relationship and a hyperelasticity analysis firmly grounded...

Abstract Freshwater scarcity is a critical issue in Vietnam, particularly in the Mekong Delta, a densely populated region with an agriculture-based economy. This scarcity is largely driven by saltwater intrusion during the dry season, severely affecting both agriculture and the local economy. In response, advanced desalination technologies have been proposed. In this study, we investigated...