Abstract Some inequalities involving the q-digamma function are presented. These results are the q-analogues of some recent results.
Abstract Some inequalities involving the (p, q)-digamma function are presented. These results are the (p, q)-analogues of some recent results.
Abstract. In this paper, some inequalities for the ratios of generalized digamma functions are presented. The approache makes use of the series representations of the (q, k)-digamma and (p,q)-digamma functions.
An overview of Christoffel symbols and covariant derivative
The problem of integration technique over integrands of the form f(t)/t^n, can be solved by differentiation(n times) by using Leibniz's rule to get rid of t^n, that leads to integrate back (n times) to end the game which it's harder than the original problem.This work focuses on the derivation of the formula (Pagano's Theorem) which is a perfect tool to avoid that hard task. It allows to change the difficult n iterated integrals into a more outstanding easier problem which consists of n -...
Abstract: An introduction to Laplace Transform is the topic of this paper. It deals with what Laplace Transform is, and what is it actually used for. The definition of Laplace Transform and most of its important properties have been mentioned with detailed proofs. This paper also includes a brief overview of Inverse Laplace Transform as well as a brief overview of application in control system. A few practical life�...
1 Riemann Integration 2 1.1 Partitions and Riemann sums . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.1.1 Definition (Partition P of size > 0) . . . . . . . . . . . . . . . . . . . . 2 1.1.2 Definition (Selection of evaluations points zi) . . . . . . . . . . . . . . . . 2 1.1.3 Definition (Riemann sum for the function f(x)) . . . . . . . . . . . . . . 2 1.1.4 Definition (Integrability of the function f(x)) . . . . . . . . . . . . . . . 2 1.1.5 Definition (Notation for integrab...
I can still remember my expression and feeling when we were asked to show that sup(A + B) = sup(A) + sup(B). It was an herculean task because the concept was too difficult to grasp with the use of approximation property until I discovered an easy route. In a bid to restrict my papers to just few pages, I will focus more on examples than theorems.
Abstract: Soft set theory initiated by Molodtsov is an important mathematical tool that deals with uncertainties about imprecision and vagueness. Research on soft ideals of ring has been carried out by other researchers. In this paper, we discuss on some properties of soft ring ideals and idealistic soft ring. We state and prove some important theorems and propositions on soft ring ideals and idealistic of soft ring that has not been studied by other researchers.
Abstract: In this paper, we presented the differential forms method which is used in the linearization of second order non-linear differential equations. The differential forms used here is limited to 2-forms with their respective operations. After presentation of the method, an example is used to illustrate the procedure of the linearization problem. Keywords Linearization, Differential forms, Differential Equations, Second Order
This work considers the direct solution of general third order ordinary differential equation. The method is derived by collocating and interpolating the approximate solution in power series. A single hybrid three-step method is developed. Taylor series is used to generate the independent solution at selected grid and off grid points. The order, zero stability and convergence of the method were established. The developed method is then applied to solve some initial value problems of third ord...
Abstract This study investigates the Effect of Computer- Instructional Package (COMPUTER INSTRUCTIONAL PACKAGE) on the Performance of Senior Secondary Students in Quadratic Equation in Bida Educational Zone of Niger State, Nigeria. The study examined the significant of performances of students thought using computer instructional package andLecture method. The sample consisted of 120 senior secondary school students drawn from four secondary schools. Stratified random sampling was used to se...
ABSTRACT. In this paper, we present and analyze a cholera epidemiological model with control measures incorporated. This model is extended from the one proposed in [16] by including the effects of vaccination, therapeutic treatment, and water san- itation. Equilibrium analysis is conducted in the case with con- stant controls for both epidemic and endemic dynamics. Opti- mal control theory is applied to seek cost-effective solution of multiple time-dependent intervention strategies against ...
ABSTRACT In this paper, a non–linear mathematical model is proposed to study the effects of irresponsible infected immigrants on the spread of HIV/AIDS in a heterogeneous population with a constant recruitment of susceptible receptors. Theequilibrium points, stability analysis, and numerical solution on the model are presented. The Routh–Hurwitz stability condition was employed to examine the stability of the disease– free equilibrium and Next Generation matrix was adopted to g...
Abstract This paper determined the effect of the convergent and divergent thinking-based instructional strategies in influencing students’ achievement in mathematics. The influence of gender on the achievement of students in mathematics was also ascertained. Two hypotheses were formulated to guide the study. a quasi-experimental pre-test, post-test, non-equivalent control group design involving two experimental groups and one control group was adopted for the study. the sample consi...