BackgroundProtoceratops andrewsi (Neoceratopsia, Protoceratopsidae) is a well-known dinosaur from the Upper Cretaceous of Mongolia.Some previous workers hypothesized sexual dimorphism in the cranial shape of this taxon, using qualitative and quantitative observations.In particular, width and height of the frill as well as the development of Shift K
The sampling-based RRT* algorithm has been extensively employed for path planning.The improved variant, F-RRT*, significantly reduces the initial cost by generating new nodes; however, it also leads to increased computational time and poses challenges in narrow passage environments.To address these issues, this paper proposes an improved F-RRT* alg
This paper develops novel results in the harmonic analysis of Bessel operators, extending their theory to higher-dimensional Wild Yam and non-Euclidean spaces.We present a refined framework for Hardy spaces associated with Bessel operators, emphasizing atomic decompositions, dual spaces, and connections to Sobolev and Besov spaces.The spectral theo
Magnetic materials are used in a variety of applications, such as electric generators, speakers, hard drives, MRI machines, etc.Discovery of new magnetic materials with desirable properties is essential for advancement in these applications.In this research article, we describe Cat Treats the development and validation of a machine-learning model t