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2024

Numerical Computation of Cauchy’s Integral Theorem for Matrix Function

Cauchy’s integral theorem for the matrix function is studied. Using the iteration formula of the Runge–Kutta fourth-order method, we advance the solution to Cauchy’s integral theorem, wherein Jacobi elliptic integrals and the Mobius transformation are applicable. It is proven that the method converges uniformly locally on the solid triangle.  The hyperbolic matrix tangent in the arc length when the contour winds once counterclockwise around the integral is computed. Numerical results have been reported with great success.

Palyno-maceral composition of the shale unit of Mamu Formation exposed at Ojuwo-Olijo, Northern Anambra Basin, Nigeria

Palyno-maceral and lithological analysis was carried-out on Mamu Formation, northern Anambra Basin, Nigeria. Analyses of the palyno-maceral composition of the exposed shale unit of the Mamu Formation in the northern Anambra Basin at Ojuwo-Olijo revealed that PM-1 and PM-2 were numerous and poorly sorted, as well as medium to small-sized PM-3 and PM-4, accompanied by Structureless Organic Matter (SOM). This scenario suggests predominantly terrestrial deposition conditions, with possible variations towards coastal and lagoonal environments in certain samples.

By admin, 26 November, 2024

Thickening annulus in Cauchy’s integral Theorem for matrix function with Mobius Transformation via Trapezoidal rule and Runge-Kutta fourth –order method

This study discusses thickening annulus in Cauchy’s integral theorem for matrix function via Mobius transformation. We introduce a Jacobi type elliptic integral for arc length using Mobius transformation leading to optimization in the contour integral wherein Trapezoidal rule and Runge-Kutta fourth order method are used yielding approximate solutions to the integral problem. We filtered out noise from solution space using Tikhonov regularization method. This leads to computing for the path integral, path length and size of the path for the Cauchy integral.

By admin, 26 November, 2024

Evaluation of approximation methods of conversion from Microsieverts Per Hour (μSv/hr) to Counts Per Minute (CPM) of background gamma radiation measurements

There is no direct method of conversion from Microsieverts Per Hour (μSv/hr) to Counts Per Minute (CPM). This study presents an evaluation of approximation methods of going about this conversion. In this study, indoor and outdoor background gamma radiation measurements are carried out using Fluke Biomedical 451 ion Chamber Survey Meter.

On the Flickering Behaviour of FO Aqr in the Presence of Thermal Bremsstrahlung

The results of our Japanese HEASARC data reduction from Magnetic Cataclysmic Variable (mCV) FO Aqr is clearly reported in this paper. On June 5, 2009, the Suzaku team used the Suzaku satellite to observe FO Aqr for 33.4 ks with an observation ID of (404032010). Three Gaussian lines were detected via Thermal Bremsstrahlung technique which represented iron lines in our system's spectrum modeling.

Evaluating Peak Flow Sensitivities to Spatiotemporal Precipitation Input Resolution in a Distributed Hydrological Model of the Ramos River System

Using a distributed hydrological model, this study investigated the influence of spatiotemporal ResolutionResolution of precipitation data on simulating flood peak discharge in the Ramos River Basin. Various precipitation datasets with spatial resolutions (0.25 km to 10 km) and temporal resolutions (1 hour to 48 hours) were evaluated. Results showed that finer resolutions generally provided more accurate predictions of flood peak discharge.

Genomic Variation and Adaptation in Wild Cowpea (Vigna unguiculata L. Walp): Insights for Enhancing Crop Resilience and Food Security

This study was aimed at investigating genomic variation in wild cowpea populations to understand its implications for crop improvement. The method adopted in the study encompassed population structure analysis and gene flow studies, supported by statistical tools, to elucidate genetic dynamics from 3 wild cowpea varieties grown on a complete randomized block design with 3 replicates. Results indicate distinct phenotypic traits and genomic markers associated with adaptive mechanisms, with significant variability observed across populations.

Paleoecology and paleo-environmental studies of the Idah Well-1, Northern Anambra Basin: Insight to petroleum exploration

Palynological and lithofacies analysis was carried-out on dark grey shales and dark sandy clay units from Idah well-1, Northern Anambra Basin, Nigeria. Less attention has been given to hydrocarbon exploration in northern Anambra, hence this necessitated this research. The study aimed at investigating the palynological and lithofacies of study rock types in the study well sections of the basin for paleoenvironmental, paleoclimate, paleoecology and hydrocarbon potential.

Building Academic Integrity and Scholarly Reputation: An Emphasis on Institutional Repositories

The importance of institutional repositories in upholding academic integrity has been explored in this study to bridge the gap between intellectual content and ethical conduct in the pursuit of scholarly reputation by major Nigerian universities. Through a case based methodology, an i-Repo architecture abstracting institutional repository services was proposed with mechanisms that deter academic misconduct and promote a culture of originality in academic content, using the University of Benin as a case study.

Evaluation of Hydrocarbon Source Rock Potential of Eocene-Oligocene Akata Formation, Onshore Niger Delta Basin, Nigeria

The pro-delta muds of the Akata Formation, intra-Agbada source units, and Late Cretaceous Shales have all been independently argued by several authors as potential hydrocarbon sources for the known accumulations in the onshore Niger Delta Basin. The geochemical characteristics of the Akata Formation of the Niger Delta Basin are rarely discussed in published reports.

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