Journal of Informatics and Mathematical Sciences

A Geometric View on the Surfaces of Rotation Generated by Killing Vector Field in Galilean 3-Space

Fatma Almaz — Tue, 31 Dec 2024 00:00:00 +0000

In this paper, by using rotational matrix which is the subgroups of the manifold \(M\) corresponding to rotation, some certain results of describing the surface are given in detail obtaining Killing vector field in \(G_3\), the rotational surfaces generated by the rotational matrices are given using an isotropic curve and isotropic matrices of rotation in \(G_3\).\ Moreover, taking the Gaussian and mean curvatures of this special rotational surface, the conditions being linear Weingarten surfaces and \(HK\)-quadric surface are expressed harmonic surface.

Production Inventory Model for Time Dependent Holding Cost, Selling Price Demand Rate, Controllable Deterioration Rate, and Multiple Market Demand with Shortages

Hariom, Dharamender Singh, Kailash Chandra Sharma, Krapal Singh, Hemant Kumar — Tue, 31 Dec 2024 00:00:00 +0000

For current competitive market conditions, the production system must produce the ideal product. A production system’s ability to produce a flawless final product depends critically on the quality of its raw materials. Using an excellent production-inventory model of a producer of a decaying item distributing goods to several markets with varying selling seasons, this article has investigated this issue. We have provided a solution approach to determine the best creation plan for finished goods and the best production plan for raw materials. For decaying items, a deterministic inventory model is created where shortages are permitted. In this model, the mandate rate is constant, and holding cost is a linear occupation of time. The purpose of this paper is to create a production-inventory model of instantaneous deteriorating items with multiple-market requests and controllable deterioration rates. Highlights of the model are to lower the overall cost of an inventory; this article has taken an analytical method. Lastly, a sensitivity analysis was conducted to investigate how various model parameters would affect the best course of action. Furthermore, we have elucidated mathematical models and assessed affectability to validate the identified models. Based on the model analysis, business enterprises can optimize the entire inventory price of deteriorating items inventory with a controllable deterioration rate. The model’s solution is shown to be fairly stable. to determine the best time to restock raw supplies and the best way to produce finished goods.

On Some Classes of Block Repetition Codes Over \(F_3+uF_3\), \(u^2=0\) and its Covering Radius of the Codes

P. Chella Pandian — Tue, 31 Dec 2024 00:00:00 +0000

In this paper, to obtain the bounds for some classes of repetition codes with covering radius by using various weight and also the same size and different size of length in repetition codes over a finite ring \(R=F_3+uF_3\), \(u^2=0\).

A Contemporary Conjecture for the Riemann Hypothesis

Aziz Arbai — Tue, 31 Dec 2024 00:00:00 +0000

We will present two new results for the ''Dirichlet eta'' function \(S(s) =\sum\limits\limits_{n\geq 1}\frac{(-1)^{n}}{n^{s}}\) which would lead us to announce a new conjecture equivalent to that of the Rieman Hypothesis.

Characterisation of Semirings and Its by Types Using Ideals

Muddsar Yaseen Malik, D. Sivakumar — Tue, 31 Dec 2024 00:00:00 +0000

We have introduced characterized semiring in this study. We have discussed the properties of ideals in semiring and characterization of semirings using ideals and some applications. We have also talked of bi-ideal and quasi-ideal in semiring and its significant classes. We have characterized three significant classes namely regular semiring, intra-regular semiring and weakly regular semiring using quasi ideals and bi-ideals.

Studies of Rotation Effect on Plane Harmonic Waves in a Micropolar Elastic Medium

K. Somaiah, K. Narasimharao, B. Venkateswara Rao, A. Chandulal, G. Rajkumar — Tue, 31 Dec 2024 00:00:00 +0000

In this article, we investigate the effect of rotation on plane harmonic waves in an isotropic homogeneous micropolar elastic solid with rotation having uniform angular velocity. It is observed that two sets of coupled dilation and shear waves are propagating with distinct speeds. Out of these, only two shear waves are propagating without elasticity and without micropolarity and two dilation waves are propagating with elasticity and without micropolarity. All these waves are dispersive in nature and affected by the rotation of the medium. It is interesting to observed that harmonic plane waves are not allowed to propagate in high rotating solids. Numerical example have been performed to discuss the behaviour of the speed of the waves.

A Robust Ranking Technique to Solve Fuzzy Transportation Problem of Triangular Fuzzy Number

Veena Yadahalli, M. Saradha — Tue, 31 Dec 2024 00:00:00 +0000

Transportation problems are widely used in supply chain management and logistics to reduce costs.When the costs of unit transportation, demand, and supply are all provided precisely, then efficient algorithms have been presented to solve the transportation problem. In this research, we transform the fuzzy transportation problem into a crisp valued transportation problem by using a ranking method. Here, we first simplify the fuzzy transportation problem using the robust ranking approach to obtain an initial basic feasible solution. Next, we apply the MODI method to obtain the fuzzy optimal solution. Ranking method is an appropriate method in ranking fuzzy numbers which is demonstrated with numerical example.

Quotient and Homomorphism in Ternary Semihyperrings

T. Anuradha, V. Lakshmi Prasannam, K. Jayalakshmi — Tue, 31 Dec 2024 00:00:00 +0000

Ternary semihyperring is an algebraic structure with one binary hyper operation and ternary multiplication. In this paper, more characterizations and some properties of the ternary semihyperring are presented. Moreover, the quotient ternary semihyperrings are constructed via another relation and the isomorphism theorems are proved.

Application of Artificial Intelligence (AI) in the Lifecycle of Sustainable Buildings: An Exhaustive Literature Review

Anshul Jain, K. Ananda Babu — Tue, 31 Dec 2024 00:00:00 +0000

With architectural structures accounting for significant share of global energy consumption and greenhouse gas emissions, the integration of Artificial Intelligence (AI) is a promising avenue for enhancing sustainability throughout the building lifecycle. This paper aims to investigate current insights regarding AI’s potential to improve energy efficiency and mitigate environmental impacts in building design, construction, and operational management. A comprehensive literature review and synthesis was conducted to identify relevant AI technologies that promote sustainable construction practices, assess their impacts, and examine challenges to effective real-world implementation. The review utilized rigorous search methodology with specific keywords related to AI applications in sustainable building design, construction, and operations. The findings reveal AI’s capabilities in optimizing energy efficiency through advanced control systems, improving predictive maintenance, and facilitating beneficial design simulations. Machine learning algorithms enable data-driven analytics and forecasting, while digital twin technologies offer real-time insights for strategic decision-making. The review identifies impediments to AI adoption, such as cost concerns, data security vulnerabilities, and challenges in implementing advanced systems. AI has transformative potential for enhancing sustainability in the built environment, providing innovative strategies for energy optimization and eco-friendly practices. Addressing technical and practical challenges is crucial for effective integration of AI into sustainable building methodologies.