The paper deals with the analysis of the compressibility of batch annealed packaging sheets. Tin-plated packaging sheet is still one of the most preferred materials for the production of thin packaging. Nowadays, material processors employ various tests to assess the properties of these sheets. The paper focuses on analyzing 16 different sheet types, with thicknesses ranging from 0.155 to 0.30 mm. It presents the evaluation methods and findings from tensile tests, biaxial tests, and cupping tests.

KEYWORDS;- formability, ears creation, uniaxial tensile test, biaxial test, cupping test.

It is crucial to maintain good exercise habits for health. Home workouts have always been a choice for many people. Although many home workout training equipment are effective, their high prices hinder their widespread adoption and promotion to the public. To make home workouts more widely adopted among the public, this study will design a squat training assistance system. This system will take the real-time training images captured by the video camera, use the MediaPipe pose estimation module to obtain the coordinates of 33 three-dimensional skeletal landmarks of the whole body, and by calculating the vector relationships between these landmarks........

KEYWORDS;- MediaPipe, landmark, Pose estimation, Exercise training.

Molecular sieve-based adsorptive denitrogenation of air for high-quality nitrogen production which can be deployed for purging, inerting, enhanced oil recovery, and other natural gas processing applications was studied by the in-situ adsorption of oxygen and the subsequent production of nitrogen. The use of both phenomenological and mathematical models for describing such operations exists, however, the influence of time optimization and cycle number on the operational performance requires further study. This work presents the pressure swing adsorption process for denitrogenation of air using 5A molecular sieves in different cycle numbers. A carbon-based process, in which the adsorbent shows preferential adsorption........

KEYWORDS;- Pressure swing adsorption, carbon molecular sieve, nitrogen separation from air.

In 2024, the representatives of the Alpha generation and a small part of those of the Z generation form the segment of children. It is important for marketers to understand the consumer behavior of children and how it is formed in order to create adequate approaches to satisfying their needs. The article addresses several key aspects related to the study of children's consumer behavior. The first issue must consider which generation in 2024 forms the segment of children. The second aspect examines the developmental stages of children's consumer behavior. Thirdly, the purchase decision process is presented. The fourth aspect addressed in the article is related to the factors influencing consumer behavior.

KEYWORDS;- consumer, child, Alpha generation, consumer behavior.

Musi River is one of the major tributaries of Krishna River in south India, which passes through Hyderabad, the capital city of Telangana State. Pollution due to heavy metal contamination in the sediments of Musi River is mainly because of anthropogenic activity which may have adverse effects on freshwater ecology of the river. The present study is confined to Gandipet (upstream of Hyderabad city) location to Wadapally (confluence of Musi River with Krishna River) for assessment of heavy metal contamination in the sediments in the Musi River due to the anthropogenic activities. It includes a systematic analysis of 7 heavy metals ie: As, Cr, Ni, Cd, Ba, Pb, Co at 12 locations along the river. The sediment samples were collected during summer, winter seasons of 2019, summer season of 2020 and winter season of 2021.The samples were analysed by (Inductively Coupled Plasma-Optical emission spectrometry) instrument following USEPA standard procedure.....

KEYWORDS;- Musi River, Heavy metals, municipal solid waste, food chain, bio magnification, restoration, anthropogenic sources. Environmental Quality Indices.

In this paper, based on the theory of homotopic mapping and properties of M-matrix, by constructing proper vector Liapunov functions, the existence and uniqueness of the equilibrium point are investigated for a class of bidirectional associative memory neural networks with fuzzy logic and distributed delays. Without assuming the boundedness, monotonicity and differentiability of the activation functions, the new sufficient criterions for ascertaining the existence, uniqueness of the equilibrium point of such neural networks is obtained. The criterion is independent of the delays and is easy to test in practice.

KEYWORDS;- bidirectional associative memory neural networks, existence and uniqueness of the equilibrium point, fuzzy logic, distributed delays

One of important problem in Mathematics is solving differential equations by analytic methods and numerical methods. Most of researchers treated numerical methods to solve first order ordinary differential equations. These methods such as Taylor series method , Runge Kutta method and Euler's method, etc. Faith Chelimo Kosgel studied this problem by combined the newton's interpolation and Lagrange method, Nasr Al Din IDE also studied this problem by Using Newtons Interpolation and Aitkens Method for Solving Riccatt First Order Differential equation. This study will use Newton's interpolation and Aitkens method to solve Bernoulli Differential Equations, some examples treated to illustrate the efficiency of this method.

KEYWORDS;- Differential equation, Bernoulli Differential Equations, Analytic method, Numerical method, newton's interpolation method, Aitkens Methods.

In this paper, we use both Newton's Interpolation and Lagrange Polynomial to create cubic polynomials for solving the initial value problem. By this new method, it is simple to solve linear and nonlinear first order ordinary differential equations and to yield and implement actual precise results.Some numerical examples are provided to test the performance and illustrate the efficiency of the method.

KEYWORDS;- Numerical method, Initial value problems, Newton's interpolation, Lagrange polynomial.

Forecasting is determining what is going to happen in the future by analysing what happened in the past and what is going on now. It relies on past and current data and analysis of trends. The most popular subfields of energy forecasting include - Load Forecasting, Electricity Price Forecasting, Wind power Forecasting, Solar Power Forecasting. Electricity Price Forecasting (EPF) is a branch of energy forecasting which focuses on predicting the spot and forward prices in wholesale electricity markets. Since early 1990s, the procedure of deregulation and the creation of competitive power markets have been reshaping. But power is a completely unique commodity, it is far economically non-storable and power system requires a constant balance among manufacturing and power intake. Due to the deregulation of retail electricity market, consumers can choose retail electric suppliers freely, and market entities are facing fierce competition because of the increasing number of new entrants. Under these circumstances, forecasting the changes in all market entities, when market share stabilized, is important for suppliers making marketing decisions. Over the past three decades, accurate modelling and forecasting of electricity.....

KEYWORDS;- Forecasting, Electricity Load Forecasting, Electricity Price Forecasting, Electricity Markets

Concrete box girder bridge has been widely used due to its advantages of high structural stiffness, smooth and comfortable traffic, good seismic performance and mature construction technology. Cracks may occur in the structure due to the long-term influence of natural environment and overloading, and affect the safe bearing capacity of the structure. Therefore, finite element method is used to analyze its vibration mode characteristics, and static load and dynamic load tests are combined to analyze its actual working state and bearing capacity. The research results indicate that the structural performance of the bridge remains good, but the actual carrying capacity has decreased due to the structural damage and cracks caused by long-term service. The findings of the study can provide reference for the maintenance and reinforcement and strengthening of similar in-service bridges.

KEYWORDS;- Concrete box girder bridge; Finite element modeling analysis; Static load test; Dynamic load test; Structural performance evaluation.

One of the frequently employed systems for analyzing a wide range of actual systems and control schemes is the ball and beam system (BB). Generally, it is an open-loop, fundamentally unstable nonlinear system. The ball and beam system can be represented linearly, and PI-PID control scheme can be is applied. This work does research on fractional-order PI-D controllers. Developing controllers to control the location of the ball while taking into account the gear angle and beam. The Lagrange technique is used to determine the system's ball position. The system's energy balance is the foundation for the system. The design of the open-loop system and closed-loop system is based on the transfer function and state space model........

KEYWORDS;- Ball and Beam, PID, Fuzzy, FOTF Viewer, Fractional Order Controller, Position Control, Stability.

With the development of drilling exploration towards deep and ultra-deep wells, conventional core drilling tools cannot meet the core drilling requirements under complex geological conditions. Therefore, a high-strength GQX type slim hole coring tool has been designed and developed. In this study, the failure problem of the outer tube and flow channel holes of the core drilling tool due to erosion and wear during use was investigated. The erosion law of the diverter shaft was studied by using the Discrete Phase Model (DPM) in computational fluid dynamics software. The results show that the drilling fluid flow rate and particle mass flow rate are basically linearly related to the erosion rate.........

KEYWORDS;- Coring tool; Liquid-solid; Erosion rate; Numerical simulation.