HPU2 Journal of Science: Natural Sciences and Technology

The The standard model-like higgs boson decay \(h \to Z\gamma\) in the 3-3-1 simple model

Mon, 28 Apr 2025 00:00:00 +0700

The exact one-loop contributions to the decay amplitudes of the Standard model-like Higgs boson decays \(h \to Z\gamma, \gamma \gamma,\) as predicted by the simple 3-3-1 model, are presented in terms of using the Passarino-Veltman notations. In the unitary gauge, all triple couplings related to the decay amplitudes are determined and LoopTools package has been applied to the numerical investigation. The result shows that the 3-3-1 simple model predicts the largest value \(\Delta_{\mu_{Z\gamma}}=\mu_{Z\gamma}-1\le 15.5\%\) which defines the signal strength of the decay channel \(h \to Z\gamma.\) This result is still outside the range of the recent experimental constraint of \(\Delta_{\mu_{Z\gamma}}\ge 50\%,\) therefore explaining why this signal is still invisible at LHC.

Optimization of extraction of flavonoid and polyphenol from Camellia megasepala leaves and their anticancer activity

Xuan-Phong Ong , Thi-Thuong Ngo, Viet-Hong La — Mon, 28 Apr 2025 00:00:00 +0700

Camellia megasepala Hung T. Chang & Trin Ninh, found in Na Hang district, Tuyen Quang province, contains a significant amount of flavonoids and polyphenols, which are important phenolic compounds known for their various biological activities beneficial to human health, including antibacterial and anti-inflammatory effects. This study applied the response surface methodology (RSM) to examine the influence of extraction factors on the polyphenol and flavonoid content in golden tea leaves. The optimal conditions for extracting polyphenols and flavonoids were temperature at 60°C, 70% ethanol concentration, extraction time of 80 minutes, and a material/solvent ratio of 1/20 (w/v). The experimental values were: flavonoid = 1.42 ± 0.0172 mgQE/g extract; polyphenol = 4.29 ± 0.0348 g/100g extract. The extract from golden tea leaves was evaluated for its cytotoxic activity against HepG2 liver cancer cells and A549 lung cancer cells. The inhibitory concentration (IC50) for the ethanol 70% extract was recorded as IC50 = 74.11 ± 1.37 µg/ml and IC50 = 67.11 ± 1.57 µg/ml for HepG2 and A549 cells, respectively. The results of this study suggest the potential application of golden tea leaf extract in inhibiting the growth of liver and lung cancer cells.

A Lagrange function approach to study second-order optimality conditions for infinite-dimensional optimization problems

Duc-Tam Luong, Thu-Loan Vu Thi, Thi-Ngoan Dang — Mon, 28 Apr 2025 00:00:00 +0700

In this paper, we focus on the second-order optimality conditions for infinite-dimensional optimization problems constrained by generalized polyhedral convex sets. Our aim is to further explore the role of the generalized polyhedral convex property, which is inspired by the findings of other authors. To this end, we employ the concept of Fréchet second-order subdifferential, a tool in variational analysis, to establish optimality conditions. Furthermore, by applying this concept to the Lagrangian function associated with the problem, we are able to derive refined optimality conditions that surpass existing results. The unique properties of generalized polyhedral convex sets play a crucial role in enabling these improvements.

On the multiplicity of graded fiber cones with arbitrary dimensions

Tien-Manh Nguyen — Mon, 28 Apr 2025 00:00:00 +0700

Let \((A,\mathfrak{m})\) be a Noetherian local ring with maximal ideal \(\mathfrak{m}\), \(J\subset A\) an -\(\mathfrak{m}\) primary ideal, \(S=\mathop\oplus \limits_{n\ge 0}S_n\) a finitely generated standard graded algebra over A and \(M=\mathop\oplus \limits_{n\ge 0}M_n\) a finitely generated graded -module. Then \(F_J(M)=\mathop\oplus \limits_{n\ge 0}\dfrac{M_n}{JM_n}\) is called the fiber cone of the graded module \(M\) with respect to \(J\) . As we know, the concept of multiplicities in commutative algebra is an object that plays an important role in determining the properties and classifying the structure of rings and modules including the Cohen-Macaulay property. In this paper, we establish the multiplicity formula of the fiber cone \(F_J(M)=\mathop\oplus \limits_{n\ge 0}\dfrac{M_n}{JM_n}\) with arbitrary dimensions. The concept we used to prove the results is filter-regular sequences of graded modules. Our approach is based on the formulas of multiplicities of fiber cones of graded modules in the case that the dimensions of those fiber cones equal 1 and by induction on dimensions of fiber cones of graded modules.

The ammonium adsorption capacity of coffee husk‑derived activated carbon composite with \(\text{MnFe}_2\text{O}_4\)

Thuy-Tien Do, Thi-Huyen Nguyen, The-Duyen Nguyen, Huu-Tap Van — Mon, 28 Apr 2025 00:00:00 +0700

In this study, a composite material between MnFe₂O₄ and activated carbon from coffee husks (MFO/AC) was synthesized using co precipitate and hydrothermal methods to remove ammonium from aqueous solutions. The characteristics of MFO/AC were characterized and evaluated by scanning electron microscopy (SEM) and Fourier transform infrared spectra (FTIR). The ammonium adsorption process of MFO/AC was investigated through batch experiments, assessing parameters such as solution pH (3 ÷ 8), contact time (5 ÷ 120 min), material dosage (0.2 ÷ 3 g.L^-1), and initial ammonium concentration (10 ÷ 60 mg.L^-1). Results indicate that MFO/AC effectively adsorbs ammonium, which is attributed to the functional groups on the composite surface. The maximum ammonium adsorption capacity of MFO/AC was 15.97 mg.g^-1 at an initial ammonium concentration of 20 mg.L^-1, pH 7, material dosage of 1.5 g.L^-1, and contact time of 80 min. The MFO/AC composite material has the potential to be an effective agent for ammonium removal from wastewater.

Cost-benefit analysis: utilizing mathematics to optimize economic project decisions

Thanh-Xuan Cao Thi — Mon, 28 Apr 2025 00:00:00 +0700

Cost-Benefit Analysis (CBA) is an essential tool for economic decision-making, providing a systematic way to evaluate the financial value of projects. It employs mathematical techniques to quantify benefits and costs, enabling decision-makers to compare various options. By translating potential gains and expenses into monetary values, CBA identifies projects that yield the highest net benefits. This method allows decision-makers to assess investment feasibility, optimize resource allocation, and prioritize projects based on their economic efficiency. The article emphasizes the importance of mathematical techniques in enhancing informed decision-making during project evaluations. It illustrates how Cost-Benefit Analysis (CBA) contributes to effective economic planning and resource management. By providing a structured framework to quantify benefits and costs, CBA helps decision-makers assess investment feasibility and prioritize projects. This ensures optimal resource allocation and maximizes net benefits, ultimately guiding stakeholders toward economically efficient choices.

Big Data and business network analysis: applications in management and optimization

Kim-Thanh Tran Thi — Mon, 28 Apr 2025 00:00:00 +0700

Big Data has significantly transformed business operations, enabling deeper insights and more informed decision-making. Its impact is particularly evident in business network analysis, where companies can now dissect and understand complex supply chains and distribution systems like never before. Businesses can uncover hidden patterns and relationships by analyzing vast datasets, improving efficiency and decision-making processes. This paper explores the applications of Big Data in business network analysis, focusing on how it enhances supply chain visibility, risk management, and demand forecasting. It also addresses challenges like data privacy, security, and managing large datasets. Finally, the paper highlights potential future research directions, emphasizing areas for further development that could drive more innovation in using Big Data for business networks. Through this examination, the paper aims to clarify how Big Data is reshaping business networks and offer insights into this critical field’s continued evolution.

Harnessing the power of Big Data: transforming market prediction and supply chain optimization

Hanh-Le Nguyen Thi — Mon, 28 Apr 2025 00:00:00 +0700

In the rapidly evolving landscape of commerce and industry, the integration of Big Data analytics stands as a pivotal innovation driving transformation across market prediction and supply chain optimization. This paper delves into the methodologies and technologies underpinning behind the harnessing of Big Data to enhance predictive accuracy in market trends prediction and streamline supply chain processes. Through comprehensive analysis and case studies, we explore how advanced algorithms, machine learning techniques, and real-time data processing can be leveraged to forecast market dynamics with unprecedented precision. Furthermore, we examine the impact of Big Data on supply chain management, highlighting how data-driven strategies can optimize inventory management, reduce operational costs, and improve responsiveness to market demands. By synthesizing insights from various sectors, this study illustrates the profound potential of Big Data to revolutionize traditional business models, offering a roadmap for organizations aiming to achieve competitive advantage in a data-centric world. The findings underscore the necessity for businesses to adopt robust data infrastructure and analytical capabilities, ensuring sustained growth and adaptability in an increasingly complex marketplace.

Blockchain with IoT to enhance security, data integrity, and automation

Thi-Nhung Nguyen — Mon, 28 Apr 2025 00:00:00 +0700

The integration of Blockchain technology with the Internet of Things (IoT) presents a transformative approach to addressing critical challenges in security, data integrity, and automation. This paper explores the synergies between these technologies, proposing a framework that leverages the decentralized and immutable nature of Blockchain to enhance IoT ecosystems. By eliminating single points of failure, Blockchain ensures robust security for IoT devices and networks. Furthermore, its transparent and tamper-resistant data structure guarantees the integrity of data exchanged across IoT systems. The study also examines how smart contracts can automate processes within IoT environments, enabling real-time decision-making and reducing human intervention. Practical use cases, such as secure supply chain management, automated healthcare systems, and industrial IoT applications, are discussed to illustrate the effectiveness of the proposed framework. The results demonstrate significant improvements in system resilience, trustworthiness, and operational efficiency, highlighting the potential of Blockchain-enabled IoT to revolutionize diverse industries.

The existence and uniqueness of weak solutions to three-dimensional Kelvin-Voigt equations with damping and unbounded delays

Thi-Thuy Le — Mon, 28 Apr 2025 00:00:00 +0700

There are many results involving PDEs in fluid mechanics with delays and many results about asymptotic behavior to PDEs. Navier-Stokes equations with delays have been studied extensively over the last decades, for their important contributions to understanding fluid motion and turbulence. In this paper we consider the modifications of the three dimensional Navier-Stokes equations: the three dimensional Kelvin-Voigt equations involving damping and unbounded delays in a bounded domain Ω ⊂ R³. The damping term is often introduced to model energy dissipation, which can stabilize the system. We show the existence and uniqueness of weak solutions by the Galerkin approximations method and the energy method.