Chennai Mathematical Institute

On the distribution of shapes of pure quartic number fields

Abstract The shape of a number field is a subtle arithmetic invariant arising from the geometry of numbers. It is defined as the equivalence class of the lattice of integers with respect to linear operations that are composites of rotations, reflections, and positive scalar dilat...

Effect of hybrid layer dominance on mechanical performance, moisture diffusion, and biodegradation of kenaf/pineapple leaf fiber-reinforced PLA laminated biocomposites

Abstract Hybrid natural fiber-reinforced biocomposites can be sustainable materials for lightweight engineering, but the impact of layer dominance on the multifunctional performance of such biocomposites is still poorly known. This study focused on kenaf fiber (KF) and pineapple...

Convex Optimization Strategies for Energy‐Efficient Beamforming in Satellite Communications

ABSTRACT A trend in the design and development of beamforming has emerged as a critical issue in modern satellite communications, particularly with the emergence of low Earth orbit (LEO) satellite constellations. This paper presents a comprehensive system for energy‐efficient bea...

Optimizing energy consumption in industrial wireless sensor networks using a hybrid FCM and GWO machine learning approach

Abstract Wireless sensor networks (WSNs) plays a dynamic role in enabling industrial applications such as production, logistics, and predictive maintenance. The present study investigates optimal strategies for sensor node placement and energy consumption optimisation to enhance...

Hydrothermal preparation of Nickel oxide nanoparticles for photocatalytic removal of Congo red and antibacterial applications

Nickel oxide nanoparticles were successfully synthesized using a simple hydrothermal method and systematically characterized for photocatalytic and antibacterial applications. The UV–visible absorption spectrum revealed strong absorption in the ultraviolet region, and the optical...

Characterization and Determination of the Kinetics of the Interaction During the Preparation of Fat‐Liquor From Waste Fat

ABSTRACT Fat‐liquoring chemical, an emulsified formulation of alkali and fat or sulfited oil, is added slowly to processed hides during leather making, penetrating into the empty cells of the leather matrix and acting as filler. Waste tallow‐fat is used to prepare present value‐a...

Intelligent UPQC control using SA-GANN and optimized DC-link regulation in grid-connected microgrids

Abstract This paper presents a photovoltaic (PV)-assisted Unified Power Quality Conditioner (UPQC) for enhancing power quality in grid-connected microgrids. The main novelty lies in the integration of a Sequence-Aware Gated Attention Neural Network (SA-GANN) and a Chaotic Parrot...

Blue carbon ecosystems under pollution stress: Impacts and integrated carbon‐pollution monitoring

Abstract Coastal blue carbon ecosystems, including mangroves, seagrass meadows, and salt marshes, are globally important carbon sinks because they store organic carbon in vegetation biomass and waterlogged sediments over long timescales. However, nutrient enrichment, heavy metals...

Interfacial Microstructure and Mechanical Performance of Stainless Steel—Low Alloy Steel Bimetallic Structures Fabricated by Wire Arc Additive Manufacturing

Bimetallic structures (BMSs) are being used more frequently in industries like automotive, aerospace, and shipbuilding because they combine different material properties in a single component. Traditional methods like welding and brazing have their limits, but additive manufactur...

Robust adaptive graph signal estimation using Pseudo–Huber loss

Graph Signal Processing (GSP) has become a crucial tool for analyzing data distributed over irregular and complex domains. Most widely used representations in GSP are the Graph Fourier Transform (GFT) and the Graph Shift Operator (GSO). GFT is the frequency-domain representation,...

Universal modular properties of generalized Gibbs ensembles and chiral deformations

A bstract We study modular properties of conformal field theories perturbed by holomorphic fields. We prove an asymptotic formula for the modular S-transform of a generalized partition function that includes zero modes of higher spin holomorphic currents. The derivation makes use...

Enhancement of mechanical and antibacterial properties of glass ionomer cement using oyster shell-derived TiO2-hydroxyapatite nanorods for dental restoration application

Glass ionomer cement (GIC) is widely used in restorative dentistry due to its capability to form a chemical bond with tooth tissue and its biocompatibility. Nevertheless, its limited mechanical strength and antibacterial capabilities hinder its long-term success in dental restora...

Robust recognition of Tamil inscription letters using a hybrid model combining recurrent neural networks, graph neural networks, and attention mechanisms

Background Character recognition in ancient Tamil inscriptions is a difficult process because of the complex nature, overlapping, and varied sizes of the characters. Traditional Optical Character Recognition (OCR) methods cannot perform optimally in such situations, making it imp...

Real-time target tracking in passive wireless sensor networks using sensor fusion and Kalman filtering

This work presents a detailed study on passive wireless sensor network tracking for adaptive estimation and control. Existing models mainly use a fixed Kalman framework for data fusion under linear and time-invariant assumptions. These available approaches show limited efficiency...

A comparative finite element study of bioinspired porous hip implant stems optimized using nTopology-based lattice architectures

One major cause of implant loosening after total hip replacement is the mismatch in stiffness properties between the metallic prostheses and the cortical bones. This paper evaluates the structural effectiveness of four different bioinspired porous structures, specifically Honeyco...

Adaptive neuro-fuzzy inference system-based analysis of Maxwell nanofluid flow over an exponentially expanding surface with radiation and multiple slip conditions

Abstract The present communication explores the Darcy-Forchheimer flow of Maxwell nanofluid through an exponentially expanding surface with motile microorganisms and slip conditions. This precise fluid model is employed in several industrial areas, such as polymer extrusion, ener...

Pilot validation of a piezo‑resistive gnathodynamometer for maximum voluntary bite force measurement in adults: a cross sectional comparative study

Maximum voluntary bite force (MVBF) is a key indicator of masticatory system function, influenced by cranio-mandibular biomechanics, neuromuscular coordination, and dental status. Conventional bite force devices, though widely used, are limited by their bulk and potential discomf...