JOURNAL OF ADVANCES IN MATHEMATICS KHALSA PUBLICATIONS en-US JOURNAL OF ADVANCES IN MATHEMATICS 2347-1921 <p><a href="" rel="license"><img src="" alt="Creative Commons License" /></a> All articles published in <em>Journal of Advances in Linguistics</em> are licensed under a <a href="">Creative Commons Attribution 4.0 International License</a>.</p> Some new results for αβ-statistical convergence through difference compact operator of fuzzy 2- normed spaces <p><span style="font-weight: 400;">The research aims to provide advanced compact</span> <span style="font-weight: 400;">for order </span><span style="font-weight: 400;">αβ-</span><span style="font-weight: 400;">converge of statistic in the normed spaces of fuzzy-2 and introduce universal the spaces̕ s.</span></p> Elaf Hussein Mohammed Copyright (c) 2024 Elaf Hussein Mohammed 2024-05-20 2024-05-20 23 84 90 10.24297/jam.v23i.9624 Optimal ordering quantity by retailer from supplier with transportation cost in a supply chain <p><span style="font-weight: 400;">Successful retailer-supplier </span><span style="font-weight: 400;">collaborative relationship enhance profitability in the delivery of products or services to customers in a supply and </span><span style="font-weight: 400;">can help alleviate pressures along all key points in the supply system. A strong alliance can bring products to market faster; reduce production and logistics costs, drive market shares, and increase sales, while maximizing profit for both partners. </span><span style="font-weight: 400;">The success of fast-moving consumer goods from the suppliers has a direct relationship with the performance of the leading retailers, which are their main channel of distribution. The objective of this study was to establish a profit model between a single supplier and multiple supply chain collaboration that will enhance response to customer requirements. </span><span style="font-weight: 400;">We considered the costs for various parties and use a referenced simplified framework model to obtain joint optimal pair for the outcome of coordination between the retailer and supplier. Our results showed that the value of the annual cost, with the same optimal ordering quantity, is higher when the retailer incurs transportation cost than when the supplier incurs transportation cost. This study revealed that the supplier will minimize cost when incurring transportation charges and maximize profit.</span></p> Pascaline Liaken Ndukum Leo Tanyam Encho Mathurin Soh Abraham Okolo Copyright (c) 2024 Pascaline Liaken Ndukum, Leo Tanyam Encho, Mathurin Soh , Abraham Okolo 2024-04-06 2024-04-06 23 74 83 10.24297/jam.v23i.9602 REVIEW OF WπGR CLOSED SETS IN TOPOLOGICAL SPACES <p><span style="font-weight: 400;">In this paper we introduce</span> <span style="font-weight: 400;">a new class of sets called weakly π generalized regular closed (wπgr closed) sets. A subset A of X is called wπgr closed set if cl( int A) </span><span style="font-weight: 400;">⊆</span><span style="font-weight: 400;">U whenever A</span><span style="font-weight: 400;">⊆</span><span style="font-weight: 400;">U and U is πgr open in X. The complement of wπgr-closed set is called wπgr-open set in X. We denote the family of all wπgr closed sets in X by wπGRC(X) and wπgr open sets in X by wπGRO(X))</span></p> SREENA S. R DR. SATHEESH E. N DR.VARUGHESE MATHEW Copyright (c) 2024 SREENA S. R, DR. SATHEESH E. N, DR.VARUGHESE MATHEW 2024-04-06 2024-04-06 23 70 73 10.24297/jam.v23i.9600 Application Of Multipoint Secant-Type Method ForFinding Roots 0f Nonlinear Equations <p><span style="font-weight: 400;">In this paper, we introduce a family of </span><span style="font-weight: 400;">p</span><sub><span style="font-weight: 400;">k</span></sub><span style="font-weight: 400;">-order iterative schemes for finding the simple root of a nonlinear algebraic equation of the function </span><span style="font-weight: 400;">f</span><span style="font-weight: 400;">x</span><span style="font-weight: 400;">=0</span><span style="font-weight: 400;"> by using the divided difference approximation. The proposed method uses one evaluation of the function per iteration and can achieve convergence order </span><span style="font-weight: 400;">p</span><sub><span style="font-weight: 400;">k</span></sub><span style="font-weight: 400;">. The error equation and asymptotic convergence constant are proved theoretically and numerically. Numerical examples are included to demonstrate the exceptional convergence speed of the proposed method and thus verify the theoretical results</span></p> R. Thukral Copyright (c) 2024 R. Thukral 2024-02-22 2024-02-22 23 61 69 10.24297/jam.v23i.9588 Proposed Development of NTRU Public Key Encryption <p>The 1996 proposal by Hoffstein, Pfeiffer, and Silverman for the NTRU public key encryption system provides a quick and useful substitute for factorization- or discrete logarithm-based classical programs. It rovides approximate security against quantum computing assaults and earoptimal asymptotic efficiency, in contrast to these latter approaches. The security analysis of the system involves examining naturally occurring computational and statistical challenges that are defined on finite polynomial rings. Current advancements in the broader field of latticebased cryptography, include security studies and applications of NTRU and its variations. These advancements include the creation of multilinear.</p> Marwah Aearaby Sayyid Copyright (c) 2024 MARWAH AEARABY SAYYID 2024-01-29 2024-01-29 23 49 60 10.24297/jam.v23i.9582 Using The Box-Jenkins Method In Time Series To Predict The Monthly Electrical Loads In (Babylon Governorate - Shomali District) <p><span style="font-weight: 400;">The topic of time series analysis is considered one of the important statistical topics to explain the phenomena that occur during a specific period of time. Time sequence examination objects to find an accurate account of the sequence, build a suitable perfect to interpret its behavior, and use the effects to predict the future time series . We using the Box-Jenkins method in the period sequence to predict the monthly electrical loads in (Babylon Governorate - Shomali district), and we have found that the studied time series is unstable in the mean and variance, we note that the time series is stable in the nasty and alteration. Autocorrelation and incomplete autocorrelation coefficients are used for the original data. Through these coefficients, we conclude that the appropriate model for the data is (3-1-2) ARMA. This model was chosen as it obtained the least (ARAM), and thus the model is appropriate for the data and the use of predictive values until the year (2022).</span></p> Hayder Kadim Mohammed Ali Kazim Jari Wissam Sadiq Khudair Copyright (c) 2024 Hayder Kadim Mohammed, Ali Kazim Jari, Wissam Sadiq Khudair 2024-01-29 2024-01-29 23 39 48 10.24297/jam.v23i.9576 An Engineering Boundary Eigenvalue Problem Studied by Functional-Analytic Methods <p>In this paper, we take up a boundary value problem (BVP) from the area of engineering that is described in a book by L. Collatz. Whereas there, the BVP is cast into a boundary eigenvalue problem (BEVP) having complex eigenvalues, here the original BVP is transformed into a BEVP that has positive simple eigenvalues and real eigenfunctions. Further, unlike there, we derive the inverse T = G of the differential operator L associated with the BEVP, show that T = G is compact in an appropriate real Hilbert space H, expand T u = Gu and u for all u ∈ H in a respective series of eigenvectors, and obtain max-, min-, min-max, and max-min-Rayleigh-quotient representation formulas of the eigenvalues. Specific examples for generalized Rayleigh quotients illustrate the theoretical findings. The style of the paper is expository in order to address a large readership.</p> L. Kohaupt Copyright (c) 2024 L. Kohaupt 2024-01-29 2024-01-29 23 11 38 10.24297/jam.v23i.9574 Couple New Iterative Method with Pade Approximation to Solve the Nonlinear Wave-Like Equations with Variable Coefficients <p><span style="font-weight: 400;">In this paper, some cases of wave-like equation have been solved by modified new iterative method as an infinite power series but it is impossible to compute the infinite series, therefore, the truncated power series was approximated by Pade approximation. Pade approximation approximates a truncated power series as ratio of two polynomials to reduce calculations and shorten the power series while maintaining accuracy. These cases are shown the successful use of solution approximation by Pade approximation compared to power series expansion.</span></p> Rana T. Shwayyea Copyright (c) 2024 Rana T. Shwayyea 2024-01-24 2024-01-24 23 1 10 10.24297/jam.v23i.9562