The purpose of this dissertation is to analyze various algebraic invariants, including Stanley depth, depth, regularity, and the projective dimension of the quotient rings obtained from the bristled of some four and ...

Schrodinger Cat States, which in quantum optics refer to a superposition of distinct co herent states, have acquired pedestal due to their application in quantum technologies. Despite the challenges involved, efforts ...

This research tackles the issue of selecting variables and making predictions in high-dimensional datasets by employing a range of regression techniques, such as Bayesian regression, Lasso, Elastic Net, Orthogonal Matching ...

Identification and estimation of chemical compounds in different environments has always been a major concern since it is an important issue in the areas ranging from environmental control to clinical diagnosis. The ...

Coal plays a crucial role as a primary energy source in meeting global energy demands. However, the high sulfur content of coal poses environmental and health risks due to release of sulfur dioxide during combustion. ...

Classifying microarray gene expression data is crucial due to its high-dimensional na ture and its significant impact on disease diagnosis and personalized treatment strate gies. Timely and accurate classification of ...

In this thesis, we investigate convex sets, convex functions, the continuity and differentiability of convex functions, and their characteristics. After studying these results, we review the research paper of the title “On ...

In the last decades, fractional calculus has gained much importance over ordinary calculus due to its diverse applications in many areas of medical science, engineering, and physics. Therefore, there exists a strong ...

Obtaining a well-defined formula for energy-momentum in General Relativity has been a challenge since Einstein’s time. Unfortunately, General Relativity does not provide a generally accepted definition of energy-momentum. ...

Quantum networks allow connecting users through open channels, with security based on laws of quantum mechanics Quantum key distribution (QKD) allows the distribution of secret keys through an open channel, where, ...