Mapana Journal of Sciences

Optimizing a Single-Vendor Multi-Purchaser for Multi-Item Fuzzy Inventory System along Lead Time with Carbon Emission Cost

R. Vithyadevi, K. Annadurai — Sat, 11 Oct 2025 00:00:00 +0000

Multi-item investigation with a multi-purchaser inventory system exposes remarkable perceptions of improved demand enhancement in overall income and manufacturing time proficiency. Similarly, lower transporting costs for multiple items positively influence minimum integrated total cost by lead time suitability. The objective seems to be inaccurate due to the imprecision of several factors. As the development of fuzzy objective is uncertain, a model is formulated to suit assured problems and doubtful earnings with some indecision. The model is solved by means of graded mean integration technique with the addition of Kuhn-Tucker method when the fuzzy equivalent of the problem remains available. An algorithm is established to attain each item's optimal order quantity for each purchaser and the minimum integrated total cost for a whole inventory system. The evaluation of a fuzzy multi-item, multi-purchaser inventory system through crisp multi-item, multi-purchaser inventory system is completed utilizing mathematical illustrations.

Thermal convection of a Oldroyd-B nanofluid with magnetic effect: Linear and weakly nonlinear analyses

Abhishek Kumar, Mala — Mon, 29 Sep 2025 00:00:00 +0000

Onset of convection in a horizontal layer with Oldroyd-B nanofluid investigated. The normal mode technique has been employed to work out the non dimensional governing equations and this leads to eigenvalue problem. The analytical expressions of stationary and oscillatory Rayleigh numbers are obtained. Critical values of Rayleigh number for
the prescribed values of other parameters are obtained. Amplitude equation is derived in weakly nonlinear analysis.

DFT and Molecular Docking Investigations on a Pyrazole Derivative for Antimicrobial Applications

Fri, 10 Oct 2025 00:00:00 +0000

The global surge in multidrug-resistant infections calls for the development of new therapeutic agents. This study presents the preparation and characteristics of a 5-Amino-1-isonicotinoyl-3-(4-nitrophenyl)-2,3-dihydro-1H-pyrazole-4-carbonitrile (AINDPC). Electronic structure and reactivity were evaluated using quantum chemical methods, while molecular docking was used to assess its interaction with microbial target proteins, indicating strong antimicrobial potential. Pharmacokinetic profiling confirmed favorable drug-like characteristics and bioavailability. The compound also exhibited notable antimicrobial activity against various bacterial and fungal strains.

Spectrophotometric Investigations of Charge Transfer Complexes formed between imidazoles and DMAD

Pratibha Mittal, Manisha Patni, Raakhi Gupta — Mon, 29 Sep 2025 00:00:00 +0000

Four novel charge transfer (CT) complexes were synthesized between imidazole-based donors and dimethyl acetylenedicarboxylate (DMAD) as the electron acceptor at room temperature in dichloromethane and acetone. CT complex formation was confirmed by characteristic n → π* and π → π* electronic transitions in UV-Vis spectra. Stoichiometric analysis using Job's method revealed 1:1 and 2:1 donor–acceptor ratios for imidazole and N-methylimidazole, respectively. Among the synthesized complexes, those containing N-methylimidazole displayed higher stability constants, negative Gibbs free energy changes (ΔG⁰), and molar extinction coefficients (ε), reflecting spontaneous as well as stable complexation. Additionally, the lowest CT transition energies (E_CT) in dichloromethane confirmed stronger donor–acceptor interactions in the less polar solvent. DFT calculations at the B3LYP/6-31+G(d) level were carried out to further validate donor strength. N-methylimidazole exhibited the greater HOMO energy, low HOMO–LUMO energy gap (ΔE) and the most favourable global reactivity descriptors—chemical softness and chemical potential—affirming its better electron-donating ability compared to imidazole.

Synthesis and study of the effect of Shock waves on nanocomposites

Mon, 29 Sep 2025 00:00:00 +0000

Vanadium Carbide-Carbon Shells nanomaterial was synthesized using hydrothermal method with the help of several steps and also, nano alpha-aluminium oxide was synthesized using solid combustion synthesis process. Preparation of aluminium oxide/vanadium carbide-carbon shells composite was done through as aluminium oxide reinforced with 5 wt. % vanadium carbide-carbon shells. A platelet like structure was observed for vanadium carbide-carbon shell from the SEM images. The XRD graph of α-aluminium oxide was shown with sharp peak which indicates that the nanomaterial was crystalline and xrd graph of vanadium carbide-carbon shells show semi crystalline nature. The densities of the sintered samples were calculated and the percentage of densification achieved as compared to the theoretical value was obtained. The compressive strength of pure alumina sample achieved was 7.28 MPa. As observed from the graph, it can infer that the sample has very less compressive strength at the outer layer. The compressive strength of vanadium carbide reinforced alumina sample achieved was 12.57 Mpa. This shows a considerable increase in the compressive strength of the alumina matrix composite because of addition of 5 wt% vanadium carbide. It can be concluded that related to thermal stability, this material has the capability to maintain the largest possible temperature difference across its faces over a shorter duration without any deformations.

An accelerating flat universe with an inverse square variation of the equation of state parameter with scale factor.

Sivakumar Chandrahasan, Robin Francis — Mon, 29 Sep 2025 00:00:00 +0000

The pressure parameter in the equation of state (EoS) of the cosmic fluid that varies inversely as the square of the scale factor is a possibility to explain the evolution of our flat universe, presently expanding with an increasing acceleration under the negative pressure of a dynamic dark energy. The proposed model demonstrates the switch over from a state of decelerating expansion to a state of accelerating expansion of the universe using a simple equation of state consistent with the cosmological observations by introducing an effective pressure parameter in the equation of state for the cosmic fluid which comprises of radiation, matter and dark energy.

Theoretical approach to study the electroclinic effect very near to the Smectic C* –Smectic A* transition point of FLC molecules

Bharati Debi Biswas, Tapas Pal Majumder — Mon, 29 Sep 2025 00:00:00 +0000

We propose a theoretical approach considering Landau type free energy expansion in order to understand the electroclinic effect appearing very close to the transition region between Smectic-C* to Smectic-A* phases. A new secondary order parameter is considered, and expressing it as the fluctuations of the applied field very close to the transition point, the capacitive nature of the system is addressed successfully at this very region. More over we have been able to show that the modulated Smectic-C* phase may be considered to be responsible for the origination of the electroclinic behavior.

Unveiling Hydrothermal Synthesis and Captivating Characteristics of Nickel Nanoferrites

Amrutesh Kannolli, Avinash P, Suvidha P Hegde — Mon, 13 Oct 2025 00:00:00 +0000

Nickel nano ferrite was effectively synthesized utilizing the hydrothermal method, followed by a comprehensive analysis of its characteristics. X-ray Diffraction (XRD) analyses established the average crystallite size to be 34.10 nm. The existence of iron oxide and the formation of nano ferrites were confirmed by Fourier Transform Infrared (FTIR) spectroscopy, which displays absorption peaks at 573 cm1 and 481 cm1 in. Scanning Electron Microscopy (SEM) displayed an average particle size of around 80 nm, while Ultraviolet-visible (UV-vis) spectroscopy determined a direct band gap energy of 1.5 eV. These results emphasize the extraordinary nanoscale and optical properties associated with the synthesized nickel nano ferrite, and can be used in the field of storage devices, catalysts for chemical processes & in semiconductor applications.

Mirror Neuron Function within the Action Observation Network: A Review

Chhavi Bhalothia, Girima Nagda — Mon, 29 Sep 2025 00:00:00 +0000

Typically, when an observer witnesses an action being performed by an agent, their Mirror Neuron System initiates a motor simulation of that action. It has been argued that mirror neurons and the cortical areas of the action observation network (AON) enable our capacity to comprehend activities at these levels. The empirical evidence for this suggested role is scant but according to existing theories, the visual brain of primates is split into two functionally separate networks. The dorsal route calculates an object's position and any activities associated with it, while the ventral pathway computes an object's identity. In this two-route paradigm, mirror neurons encode this concrete representation of the event, which serves as a precedent to forecast the sensory effects of this activity via the AON pathway of dorsal route. Although still popular, the two visual pathways concept needs to be updated. This review gives an idea about mirror neurons and discusses their role in AON.

Tri-Class Exponential ROC Space

Sahana T S, Kumarapandiyan G — Tue, 14 Oct 2025 00:00:00 +0000

Biomarkers play a vital role in detecting the presence of disease or medical condition of interest. The challenging tasks in clinical diagnosis are to interpret the performance of biomarkers. To evaluate the biomarkers efficiency, the most advantageous tool used is Receiver Operating Characteristic (ROC) Curve. For two class problems (abnormal and normal), various models and alternatives are developed to find the biomarker’s performance. In this study, the two class problem has been further extended to the three-class problem i.e. (normal, suspicious and abnormal). The three-class exponential ROC model, Volume Under the ROC Surface (VUS), asymptotic variance and Confidence Interval (CI) for VUS have been derived. The model has been validated using a simulated data and for the real-life dataset from the underlying distribution.

Keywords: Biomarker, Volume Under the ROC, Asymptotic Variance and Exponential Distribution