Statistical Analysis on Job Satisfaction of Academic Staff at College of Natural Science in Jimma University, Ethiopia: A Cross-Sectional Study
Tolerance Based Rough Algebras Induced by Blocks
Significance of Thermal Boundary Layer Analysis of MHD Chemically Radiative Dissipative Casson Nanofluid Flow over a Stretching Sheet with Heat Source
Transient Analysis of M/M/1 Fractional Queue
A Novel Multi-Viewpoints Based Cosine Similarity Visual Technique for an Effective Assessment of Clustering Tendency
An Introduction to Various Types of Mathematics Teaching Aids
A Simple Method of Numerical Integration for a Class of Singularly Perturbed Two Point Boundary Value Problems
A New Approach to Variant Assignment Problem
A Homotopy Based Method for Nonlinear Fredholm Integral Equations
Proof of Beal's Conjecture and Fermat Last Theorem using Contra Positive Method
Trichotomy–Squared – A Novel Mixed Methods Test and Research Procedure Designed to Analyze, Transform, and Compare Qualitative and Quantitative Data for Education Scientists who are Administrators, Practitioners, Teachers, and Technologists
Algorithmic Triangulation Metrics for Innovative Data Transformation: Defining the Application Process of the Tri–Squared Test
A New Hilbert-Type Inequality In Whole Plane With The Homogeneous Kernel Of Degree 0
Introducing Trinova: “Trichotomous Nomographical Variance” a Post Hoc Advanced Statistical Test of Between and Within Group Variances of Trichotomous Categorical and Outcome Variables of a Significant Tri–Squared Test
Surfaces in R3 with density
Many universities and colleges in the United States and elsewhere are increasingly concerned about enhancing the comprehension and knowledge of their students, particularly in the classroom. One method of enhancing student success is teaching effectiveness. The overarching objective of this research paper is to propose a novel research model that examines the relationship between teaching effectiveness and student learning outcomes qualitatively and then analyzes the outcomes of the researcher further using a mixed method data analysis methodology. This new model will first use a unique and in–depth qualitative case study methodology especially designed for the instructional setting. The anticipated qualitative initial data collecting techniques will include but not be limited to the following: observations, personal interviews, qualitative survey questionnaires, research field notes, document review, etc. The secondary data analysis model will use the mixed methods (Qualitative and Quantitative) Triostatistics Tri–Squared Test to further validate the research investigation outcomes. The initial data gathering qualitative model uses assumed data and applied statistical Cross–Tabulation and Chi–Square Tests, including a theoretical analysis of the open–ended responses and field notes recorded from participants (a sample of 32 students presently enrolled in a Semester–long English ENG 1200–01 course at a public university in North Carolina). The associative statistical findings found a positive relationship between teaching effectiveness and student learning. The outcomes of this study will increase the current lack of information on the use of qualitative and mixed methods research designs in determining teaching efficacy and its effects on student achievement in the social and behavioral sciences. This new model expands on existing measures by providing new measures to more carefully examine teaching effectiveness and its effect on student learning.
In this paper, the concepts of I2 -Cauchy, I2* -Cauchy double sequences in fuzzy n-normed spaces were introduced and some properties and relations of them were studied. We show that if a double sequence (xmr) in X is an I2* -double Cauchy sequence, then it is I2 -double Cauchy sequence, where I2 denotes the ideal of subsets of N×N.
Some physical problems in science and engineering are modelled by the parabolic partial differential equations with nonlocal boundary specifications. The aim of the present paper is to solve the higher-order linear differential and partial differential equations using Bernstein operational matrix of differentiation and Tau method. The nature of simplicity and efficiency of numerical technique has been demonstrated by considering Bessel equation of order zero and diffusion equation. The novelty of the work in this paper is to obtain an approximate solution to second order parabolic differential equation using an algorithm involving Bernstein basis polynomials and Tau method. The approximate solutions obtained by the present method are compared with the exact solutions, and the numerical results of other methods.
In this paper we propose several common fixed point theorems for self mappings satisfying CLRg or CLRST properties and weak compatibility in FMS (fuzzy metric spaces). Next, we provide some examples to support our results. Furthermore, as an application of our results we present some system of functional equations that arises in dynamic programming and prove the existence of solutions of such equations and uniqueness of the solutions of such functional equations.
In everyday life, we rarely hear the mysterious word “fractal”, but we encounter them on a daily basis. Nature exhibits fractals in Trees, mountains, snow, plants, and even the circulatory system have fractal structures. Fractals can be applied in various areas from image compression algorithms to the study of blood vessels of living organisms. A fractal is a never-ending pattern. Fractals are infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop. Driven by recursion, fractals are images of dynamic systems – the pictures of Chaos. Geometrically, they exist in between our familiar dimensions. Fractal patterns are extremely familiar, since nature is full of fractals.
