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7 articles for “Mathematical Reasoning”
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Research ArticleOpen accessIn the keywordsEmpowering Small Language Models With Chain of Thought and Parameter Efficient Fine Tuning for Efficient Deep ReasoningAryan Raina, Shiwani Gupta, Jagruti Jadhav et al.Small Language Models (SLMs) run faster and fit on modest hardware, yet solving multi-step logic problems has traditionally been difficult for them. This work investigates a systematic, multi-model framework that combines Chain-of-Thought (CoT) prompting with Low-Rank Adaptation (LoRA) parameter-efficient fine-tuning, and measures the contribution of each component independently. We evaluate three SLMs (TinyLlama-1.1B, Phi-3-mini-4k-instruct, and Qwen2.5-1.5B) using 1,164 training samples … …Journal of Computer Science, Vol. 22, Issue 8 · 8 Sep 2026 · 862 accessesView PDFCite
Research ArticleOpen accessIn the abstractIntegrating Higher-Order Thinking Skills, Cognitive Load Theory, and Metacognition in Algebraic Problem-SolvingGurudeo Anand TularamThis study synthesizes 30 years of research (1990–2020) on algebraic problem-solving, integrating Higher-Order Thinking Skills (HOTS), Cognitive Load Theory (CLT), and metacognitive strategies to enhance student outcomes. Utilizing a critical synthesis approach with data from student interviews, problem-solving observations, and longitudinal tracking, the analysis reveals consistent patterns across diverse educational contexts despite limitations and variable factors like teaching styles and … …Journal of Social Sciences, Vol. 22, Issue 1 · 21 Apr 2026 · 2,016 accessesView PDFCite
Research ArticleOpen accessIn the abstractPersian Curve Versus Monte Carlo MethodAbdolrasoul Ranjbaran, Mohammad Ranjbaran, Fatema RanjbaranThe Monte Carlo Simulation method is a powerfultool for solving problems including random variables. The basic idea toimplement a Monte Carlo simulation is to first generate samples of randominputs from their assumed distributionfunctions and then perform a deterministic calculation on the generated randominputs, based on mathematical modeling of the system, to obtain output results.An early version of Monte Carlo simulation … …International Journal of Structural Glass and Advanced Materials Research, Vol. 5, Issue 1 · 6 Jul 2021 · 8,300 accessesView PDFCite
Research ArticleOpen accessIn the abstractBuilding Probability Functions by Persian CurveAbdolrasoul Ranjbaran, Mohammad Ranjbaran, Fatema RanjbaranConstruction of a probability function for a given random data is the main theme of several branches of human knowledge, where it is an active area of study. In spite of great developments, the solution needs extensive effort and the results contain epistemic uncertainty. In this study, making use of the logical reasoning and concise mathematical logics, a method called … …International Journal of Structural Glass and Advanced Materials Research, Vol. 4, Issue 1 · 31 Oct 2020 · 8,154 accessesView PDFCite
Research ArticleOpen accessIn the abstractExplosion of the Science Modification of Newtonian Dynamics Via Mach’s Inertia Principle and Generalization in Gravitational Quantum Bound Systems and Finite Range of the Gravity-Carriers, Consistent Merely On the Bosons and the FermionsMohsen LutephyNewtonian gravity is modified here via Mach's inertia principle (inertia fully governed by universe) and it is generalized to gravitationally quantum bound systems, resulting scale invariant fully relational dynamics (mere ordering upon actual objects), answering to rotation curves and velocity dispersions of the galaxies and clusters (large scale quantum bound systems), successful in all dimensions and scales from particle to … …Physics International, Vol. 11, Issue 1 · 10 Aug 2020 · 7,782 accessesView PDFCite
Research ArticleOpen accessIn the abstractONCObc-ST: An Improved Clinical Reasoning Algorithm Based on Select and Test (ST) Algorithm for Diagnosing Breast CancerOlaide Nathaniel Oyelade, Sunday Adeyemi AdewuyiThe need for an accurate reasoning algorithm is usually necessitated by the sensitivity of domain of (medicine as example) application of such algorithms. Most reasoning algorithms for medical diagnosis are either limited by their techniques or accuracy and efficiency. Even the Select and Test (ST) algorithm which is considered a more approximate reasoning algorithm is also limited by its approach … …Current Research in Bioinformatics, Vol. 8, Issue 1 · 15 Apr 2019 · 7,162 accessesView PDFCite
Research ArticleOpen accessIn the abstractON REDUCED SCALAR EQUATIONS FOR SYNCHRONOUS BOOLEAN NETWORKSAli Muhammad Ali Rushdi, Adnan Ahmad AlsogatiA total description of a synchronous Boolean network is typically achieved by a matrix recurrence relation. A simpler alternative is to use a scalar equation which is a possibly nonlinear equation that involves two or more instances of a single scalar variable and some Boolean operator(s). Further simplification is possible in terms of a linear reduced scalar equation which is … …Journal of Mathematics and Statistics, Vol. 9, Issue 3 · 10 Sep 2013 · 6,665 accessesView PDFCite