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Research ArticleOpen accessIn the keywordsOn the Successive Overrelaxation MethodI. K. YoussefProblem statement: A new variant of the Successive Overrelaxation (SOR) method for solving linear algebraic systems, the KSOR method was introduced. The treatment depends on the assumption that the current component can be used simultaneously in the evaluation in addition to the use the most recent calculated components as in the SOR method. Approach: Using the hidden explicit characterization of … …Journal of Mathematics and Statistics, Vol. 8, Issue 2 · 22 Feb 2012 · 12,799 accessesView PDFCite
Research ArticleOpen accessIn the keywordsGraph Folding of Some Special GraphsE. El-Kholy, A. El-EsawyIn this study we introduced the definition of graph folding then, we proved that we cannot fold any complete graph except the bipartite graph. By using incidence matrices we described the graph folding. …Journal of Mathematics and Statistics, Vol. 1, Issue 1 · 30 Mar 2010 · 7,351 accessesView PDFCite
Research ArticleOpen accessIn the keywordsPerformance Evaluation of Multicrypt Encryption MechanismRhymend Uthariaraj Vaidyanathan, Lydia Elizabeth Benjamin, John Prakash ArockiasamyMulticast communication allows a single message packet to be routed to multiple nodes simultaneously. Membership in a multicast group is dynamic, allowing nodes to enter and leave the multicast session. Besides the benefits, multicast communication presents the challenge of securing the communication. In order to preserve confidentiality the general encryption mechanism used for point to point communications are used. A … …American Journal of Applied Sciences, Vol. 9, Issue 11 · 4 Sep 2012 · 7,168 accessesView PDFCite
Research ArticleOpen accessIn the keywordsThe Delay-Dependent for Discrete-Time SystemsKreangkri RatchagitProblem statement: This study is concerned with the problem of delay-dependent stability analysis for discrete-time systems with interval-like time-varying delays. Conclusion/Recommendations: The problem is solved by applying a novel Lyapunov functional and an improved delay-dependent stability criterion is obtained in terms of a linear matrix inequality. …American Journal of Applied Sciences, Vol. 7, Issue 12 · 31 Dec 2010 · 7,076 accessesView PDFCite
Research ArticleOpen accessIn the keywordsAn Alternative Scaling Factor In Broyden's Class Methods for Unconstrained OptimizationMuhammad Fauzi bin Embong, Mustafa bin Mamat, Mohd Rivaie, Ismail bin MohdProblem statement: In order to calculate step size, a suitable line search method can be employed. As the step size usually not exact, the error is unavoidable, thus radically affect quasi-Newton method by as little as 0.1 percent of the step size error. Approach: A suitable scaling factor has to be introduced to overcome this inferiority. Self-scaling Variable Metric algorithms … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 2 Jun 2010 · 7,692 accessesView PDFCite
Research ArticleOpen accessIn the abstractAttribute Reduction in Bipolar Intuitionistic Fuzzy Relation SystemWeiyuan Wang, Qian WangBipolar intuitionistic fuzzy relation system (BIFRS) effectively characterize the bipolarity in real-world data by introducing positive and negative membership and non-membership degrees. To address redundancy caused by high-dimensional attributes, this paper proposes an attribute reduction method based on bipolar intuitionistic discernibility matrices. By constructing positive discernibility matrix M+∗ matrix M−∗ and negative discernibility , we systematically identify the minimal attribute … …Journal of Mathematics and Statistics, Vol. 22, Issue 1 · 16 Jul 2026 · 1,063 accessesView PDFCite
Research ArticleOpen accessIn the abstractAutomobile Spray Paint Dust and Human Health: A Multi-Site Environmental Health Risk Assessment of Carcinogenic and Non-Carcinogenic Effects in South-Eastern NigeriaAdindu Ihuoma Blossom, Ubouh Emmanuel Attah, Obasi Kalu Omokorie, Raimi Morufu OlalekanInformal automobile spray-painting operations release metal-laden dust, posing occupational and residential health risks. Seasonal variations, receptor-specific exposure, and metal composition influence non-carcinogenic and carcinogenic hazards, yet data from South-Eastern Nigeria remain limited. This study quantified heavy-metal exposure in automobile spray-paint dust, assessed receptor-specific non-carcinogenic (HI) and carcinogenic (ILCR) risks, examined seasonal and metal-specific trends, and evaluated source attribution to inform … …American Journal of Environmental Sciences, Vol. 22, Issue 1 · 22 Jun 2026 · 1,555 accessesView PDFCite
Research ArticleOpen accessIn the abstractOptimizing Bias Detection in Tweets Using Bayesian Probabilistic ModelPrasanth G Rao, Harsha Chigurupati, Krish Hashia et al.Content moderation on social media faces persistent challenges from inconsistent evaluation shaped by subjective judgment and subtle semantic variations. This work proposes a Bayesian probabilistic framework for detecting bias in tweets using WordNet-based vocabulary filtering, statistical normalization via z-scores, and threshold optimization. The system is stateless, scalable, and dataset-agnostic, requiring no session-specific information. Unlike complex models such as Support Vector … …Journal of Computer Science, Vol. 22, Issue 5 · 19 May 2026 · 1,009 accessesView PDFCite
Research ArticleOpen accessIn the abstractOptimization of Food Expenditures in Nigeria: A Case Study of Lafia, Nasarawa StateOlusola Collins Akeremale, Imam Akeyede, Ishaku Audu, Adekemi O. AkeremaleCurrently, the prices of commodities in Nigeria are consistently rising owing to several variables, including economic conditions, political influences, and technical progress. Consequently, the cost of essential items, including food, has risen significantly. Consequently, they often disregard nutritious dietary habits and fail to obtain adequate daily nutrients. This will lead to several repercussions, including diseases, disorders, and less vitality for … …American Journal of Applied Sciences, Vol. 22, Issue 1 · 12 Feb 2026 · 2,525 accessesView PDFCite