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8 articles for “auxiliary functions”
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Extended Fixed Point Theorems in Menger PM-Type Spaces: Generalized Auxiliary Functions and Contractivity Conditions
Abstract: Background: Fixed point theory in probabilistic metric spaces, particularly Menger spaces, has been a subject of intensive research due to its applications in nonlinear analysis and mathematical modeling. Traditional approaches often impose restrictive constraints on the defining properties of Menger spaces and limit the class of auxiliary functions in contractivity conditions Methods: We extend recent fixed point theorems in Menger spaces by: (1) introducing the notion of Menger PM-type spaces …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 12, Issue 3, 2025 · pp. 1–6 Read article
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Optimal Homotopy Analysis Method (OHAM) For the Approximate Series Solution of Non-linear Partial Differential Equation
Abstract: In this article, we have used the Optimal Homotopy Analysis Method (OHAM), which is a basically semi-analytic method to solve differential equations. The ability for the user to choose the convergence control parameter, auxiliary linear operator, auxiliary function, and starting approximation is what sets apart the OHAM technique. We guaranteed the efficacy and efficiency of the procedure by fine-tuning the convergence control parameter. We solved a non-linear partial differential equation …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 1, 2024 Read article
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Automatic Brake Failure Indication with Auxiliary Braking System
Abstract: Accidents in vehicles often happen due to diverse factors, with brake failure being a significant contributor resulting from inadequate maintenance and product defects. To protect human lives and reduce the risk of accidents, effective monitoring of brake systems is vital in the automotive industry. Vehicle safety encompasses not only the prevention of accidents but also the mitigation of their adverse effects on human health. Today’s cars come with innovative safety …
Published in Journal of Automobile Engineering and Applications · Vol. 12, Issue 2, 2025 · pp. 1–7 Read article
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Polymer Chemistry in Nutraceutical Composites: Exploring Natural Polymers and Binding Systems in a Bamboo-Enhanced Formulation
Abstract: Polymer chemistry underpins the development of advanced nutraceutical composites, blending natural polymers with functional ingredients for health benefits. This study examines a novel nutraceutical formulation comprising ragi (16.39 g/100g), wheat (12.29 g/100g), soybean (12.29 g/100g), buffalo milk (16.39 g/100g), buffalo butter (4.13 g/100g), bamboo extract (0.90 g/100g), and auxiliary components (37.61 g/100g, including fats, sugars, and proteins). Natural polymers—proteins from soybean and milk, polysaccharides from ragi and wheat—form a macromolecular …
Published in Journal of Polymer & Composites · Vol. 13, Issue 6, 2025 · pp. 878–884 Read article
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Review of Atorvastatin As A Potent Drug For Cardio-Vascular Disease(CVD)
Abstract: Cardiovascular disease (CVD), particularly atherosclerosis, remains the leading cause of death worldwide, significantly burdening public health, especially in Western societies. Metabolic syndrome and arrhythmic complications further exacerbate cardiovascular morbidity and mortality. Among restorative specialists, statins particularly atorvastatin have gotten to central in both the essential and auxiliary anticipation of coronary heart infection (CHD) due to their strong lipid-lowering properties and additional pleiotropic impacts. Atorvastatin, a selective HMG-CoA reductase inhibitor, not …
Published in Research & Reviews: A Journal of Drug Design & Discovery · Vol. 12, Issue 3, 2025 · pp. 8–18 Read article
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An Overview on VLSI based Hardware Security in IoT Node
Abstract: In the coming era, security will not be a feature we add to an IoT device; it will be a property inherent to its transistor-level design. By encoding security into the VLSI architecture, we move away from the fragile "software-only" paradigm and toward a future where the identity of the device is as immutable as the laws of physics. The rapid proliferation of Internet of Things (IoT) devices has transformed …
Published in International Journal of VLSI Circuit Design & Technology · Vol. 4, Issue 1, 2026 Read article
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Phase – Field Modeling of Brittle and Ductile Fracture Under Complex Loading Conditions
Abstract: Phase-field modeling has emerged as a powerful computational framework for predicting fracture behavior in engineering materials, offering a unified description of crack initiation, propagation, branching, and coalescence without the need for explicit crack tracking. This study presents an in-depth examination of phase-field modeling applied to both brittle and ductile fracture under complex loading conditions, including multiaxial stress states, cyclic loading, thermal gradients, and dynamic impact. The phase-field approach regularizes the …
Published in International Journal of Fracture Mechanics and Damage Science · Vol. 3, Issue 2, 2025 · pp. 13–18 Read article
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Deciphering the Roles of Estrogen Receptors and 27-Hydroxycholesterol in BC Progression
Abstract: Breast cancer (BC) ranks among the top causes of cancer-related deaths in women worldwide. Many risk factors of BC are linked to estrogen. Experiments of Beatson in 1896 show the role of steroid hormones as major determinant in BC. Action of steroid hormones is mediated by their receptors including Estrogen receptors (ERs). ERs are part of a subfamily of ligand-regulated transcription factors. Their primary role is to translate hormone signals …
Published in International Journal of Genetic Modifications and Recombinations · Vol. 2, Issue 2, 2024 · pp. 18–26 Read article