The wrapping Epanechnikov exponential distribution: A novel flexible model for asymmetric circular data.

This study introduces the Wrapped Epanechnikov Exponential Distribution (WEED), a novel circular distribution derived from the Epanechnikov exponential distribution. The probability density function and cumulative distribution function are presented, together with a comprehensive analysis of its properties and parameters, including the characteristic function and trigonometric moments. Parameters are estimated using maximum likelihood estimation (MLE).

Optimizing capacitor bank placement in distribution networks using a multi-objective particle swarm optimization approach for energy efficiency and cost reduction.

This paper proposes an improved dynamic parameters MOPSO method for analyzing the optimal size and placement of two capacitor banks for standard IEEE 33-bus and IEEE 69-bus distribution feeders. The novelty of this work lies in the application of the MOPSO algorithm to optimize capacitor bank placement, considering multiple objectives such as energy loss reduction, voltage stability, and cost savings, which differentiates it from conventional approaches. MOPSO distinguishes itself from conventional methods by incorporating advanced mechanisms to improve population diversity and prevent early convergence, which results in more accurate optimization outcomes.

Nanostructured bismuth ferrite nanoparticles: synthesis, characterization, electrical/magnetic properties and photocatalytic performance.

Nanostructured bismuth ferrite (BiFeO) single-phase nanoparticles with 76.2% crystallinity and 100% perovskite structure were synthesized using a co-precipitation method. The X-ray diffraction pattern confirmed the perovskite structure of BFO, and Rietveld refinement demonstrated the presence of a triclinic structure with the 1 space group.

Effective Piecewise Mass Distributions for Optimal Energy Eigenvalues of a Particle in Low-Dimensional Heterojunctions.

Systems composed of several multi-layer compounds have been extremely useful in tailoring different quantum physical properties of nanomaterials. This is very much true when it comes to semiconductor materials and, in particular, to heterostructures and heterojunctions. The formalism of a position-dependent effective mass has proved to be a very efficient tool in those cases where quantum wells emerge either in one or two dimensions.

Model and Energy Bounds for a Two-Dimensional System of Electrons Localized in Concentric Rings.

We study a two-dimensional system of interacting electrons confined in equidistant planar circular rings. The electrons are considered spinless and each of them is localized in one ring. While confined to such ring orbits, each electron interacts with the remaining ones by means of a standard Coulomb interaction potential.