PURKH (E-Journals)
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Markov Moment Problem in Concrete Spaces Revisited
Get PDFThis review paper starts by recalling two main results on abstract Markov moment problem. Corresponding applications to problems involving concrete spaces of functions and self-adjoint operators are proved in detail. Some modified versions of such results are discussed. In the end, using polynomial approximation on special unbounded closed subsets, some multidimensional Markov moment problem on such subsets are recalled, without repeating the proofs. Our approximation results solve the difficulty arising from the fact that there exist positive polynomials on , which cannot be written as sums of squares of polynomials. However, the upper constraint of the solution is written in terms of products of quadratic forms. The solution are operators having as codomain an order complete Banach lattice. The latter space might be a commutative algebra of self-adjoint operators. All solutions obtained in this paper are continuous, and thanks to the density of polynomials in the involved domain function spaces, their uniqueness follows too. Operator valued solutions for classical moment problem are pointed out
Generalized Fibonacci Numbers: Sum Formulas of the Squares of Terms
Get PDFIn this paper, closed forms of the sum formulas ∑nk=1kWk2 and ∑nk=1kW2−k for the squares of generalized Fibonacci numbers are presented. As special cases, we give summation formulas of Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal and Jacobsthal-Lucas numbers. We present the proofs to indicate how these formulas, in general, were discovered. Of course, all the listed formulas may be proved by induction, but that method of proof gives no clue about their discovery. Our work generalize second order recurrence relations
Estimation of First Passage Time Probabilities at Second Transition respecting Evolutionary MCMC Algorithms
Get PDFWith regard to genetic algorithms with bit mutation, the target is to offer novel algorithm to obtain experiential and theoretic results for first passage time probabilities estimation at second transition. The estimating proposed formula is true with regard to any regular Markov Chain.  
Hydrodynamics Model of Temperature Variation due to Gas Flaring activities in some parts of Niger Delta Area of Nigeria
Get PDFThis research is investigating the Hydrodynamics Model of Temperature Variation due to Gas Flaring activities in some parts of Niger Delta Area of Nigeria. The unsteady flow of radiative heat flux is represented using mathematical techniques to model the basic equations of fluid in motion by radiative transfer process using general differential forms. Laplace transform is used to obtain expressions for Temperature, Velocity, etc to solve problems of heat flow. The use the continuity, momentum, Navier-Stokes, Dasey and Energy equations is exploited. The results show that radiation parameter influences the variation of temperature distribution in the environment
Speciation of Cobalt(II) complexes with succinic acid and L-glutamine in Tetra Butyl Ammonium Bromide – water mixtures
Get PDFSpeciation of cobalt(II) complexes with L-glutamine (Gln) and succinic acid (Suc) in varying concentrations (0.0-3.0%, w/v) of TBAB-water mixtures with pH-meter has been made at an ionic strength of 0.16 mol dm-3 and temperature 303 K using a Control Dynamics-APX 175E/C pH meter. Various models for the species of these ligards are refined by using the computer programs SCPHD and MINIQUAD75. The active forms of the Cobalt(II) are ML, ML2 and MLH for succinic acid and ML and ML2H for L-glutamine. The trend in the variation of protonation constants with dielectric constant is explained on the basis of electrostatic and non-electrostatic forces. The species distribution with pH at different solvent composition and the plausible equilibria for the formation of the species are also presented
Teacher Resourcıng Tlms Practıces and Perceptıons: Its Effects on Students’ Performance
Get PDFThis study investigated the teachers’ practices and perceptions in resourcing teaching and learning materials and examined how these affected the performance of the students in the core subjects. Participants of this study were the 243 elementary teachers in District I and District II of Carcar City Division of the Department of Education. For the span of 15 days, the participants were given the survey tool online. The consolidated data were gathered and retrieved from google form database and treated statistically. The results suggested that the teachers’ practices in resourcing learning materials is significantly correlated with the teachers’ perception towards the DepEd Learning Resource Portal and the non-DepEd initiated learning materials provider. Both the teachers’ practices and perceptions towards resourcing TLMs have significant effect on the students’ academic performance. As a result, an action plan for measurement and evaluation of teachers’ learning material resourcing skills is devised. The skills measurement will evaluate the teacher’s subskills such as their responsive skills, ICT skills, writing skills, lay-outing skills, and illustration skills
Financial Inclusion as A Tool for Survival of Small and Medium Family Enterprises: Lessons for Nigerian Microfinance Banks
Get PDFThe study evaluates the scope SMFEs have access to funding and examines the challenges against SMFEs accessing finance in Nigeria. Data were collected from 380 participants through a structured questionnaire designed for the study. Simple percentage, mean, standard deviation and factor analysis were employed to analyze the data. The results revealed that many of SMFEs leverage on the informal sector as a vector of inclusion. Furthermore, lack of collateral, interest rate and short payback period were found to be the most factors preventing SMFEs from accessing credit from Nigerian Microfinance banks. Therefore, authorities should act quickly to accelerate progress towards financial inclusion by distributing digital services as simple, flexible and simple alternative channels to reach our areas and rural hinterland. Additionally, financial institutions like microfinance banks must assimilate the objective of inclusion in their overall business plan and accept a holistic strategy to reach the financially invisible
rGonanostructure Electrode Material for High-Performance Super-Capacitor Application
No full textCarbon materials are usually light, non-toxic, and environmentally friendly with excellent reinforcement ability. They are very promising materials for the development of future generation electronics and energy storage devices. rGO has attracted interest as electrode material for energy storage owing to its high surface area, stability, and porosity. A facile method to prepare reduced graphene oxide with enhanced performance has been synthesized by chemical reduction and exfoliation from graphene oxide and exfoliated to rGO. Their efficient chemical and electrical properties, such as high conductivity efficient electrochemical stability, enable them to fulfill the requirement of modern electronic industries. The morphology showed that rGO possessed a multiple-layered structure and is porous. The electrochemical properties of rGO have been investigated as supercapacitors. The electrochemical performance of rGO showed that a specific capacitance of 70F/g at 1 A/g, capacitance retention curve showed 69.4% retention after 1000 charge-discharge cycles at 1 A/g indicating rGO can be used in high-performance supercapacitor applications. The CV curves of rGO can keep rectangular even at a scan rate of 200 m/s; this can be due to the presence of a residual oxygen-containing functional group
A New Look at a Nonrelativistic Shell Model: Study of the Mirror Nuclei 17O and 17F in the Symmetries of NCQM
Get PDFIn present work, the 3-dimensional modified Schrödinger equation is analytically solved for nuclei 17O and 17F, which can be modeled as a doubly magic isotope and , with one additional nucleon (valence) in the level under modified quadratic Hellmann potential in the symmetries of noncommutative quantum mechanics (NCQM), using the generalized Bopp’s shift method. The new energy eigenvalues and the corresponding modified Hamiltonian operator are calculated in the 3-dimensional noncommutative real space phase (NC: 3D-RSP) symmetries. It is found that the perturbative solutions of the discrete spectrum can be expressed by the Gamma function, the discreet subatomic quantum numbers and the potential parameters ( ), in addition to the noncommutativity parameters ( and ). The total complete degeneracy of new energy levels of the modified quadratic Hellmann potential changed to become equals to the value instead of the initial values in ordinary QM. Our results are in good agreement with the already existing literature in NCQM.
Phytochemicals and Antioxidant Activity Investigation of Butea monosperma Lam. Leaves Ethanol Extract
Get PDFThe aim of this study was to investigate phytochemicals and antioxidant activity of plant Butea monosperma Lam. leaves ethanol extract. The different extracts of this plant were reported the rich source contents of bioactive phytochemicals in the leaves and afford for various pharmacological activities. The ethanol extract of leaves was subjected to investigate phytochemicals and antioxidant activity by using DPPH in vitro system. The provided evidence of results concluded that the ethanol extract of Butea monosperma Lam. leaves are potential sources of natural bioactive phytochemicals and showed potent in vitro antioxidant activity with their IC50 value of 44.16 μg/ml. Therefore phytochemical investigation of plant leaves ethanol extract was noted various bioactive phytochemicals, which may serve as a potent source of natural antioxidants