iosr-Jm   Volume-14 ~ Issue-4 ~ Jul-Aug 2018

Abstract: This Study investigates the performances of seemingly unrelated regression (SUR) estimators when the homoscedastic assumption of disturbances is violated in each of the regression equation. The finite properties and relative performance of the estimators to Ordinary Least Square (OLS) were examined under four forms of heteroscedasticity of the error terms and levels of Contemporaneous Correlation (Cc). The efficiency of three estimation techniques for SUR model was examined using Root Mean Square Error (RMSE) criterion to determine the best estimator(s) under different conditions at various sample sizes. The simulation results revealed that OLS estimator performed very well in small sample in the absence or low contemporaneous correlation at different......

Key Words: Seemingly unrelated Regression, Heteroscedasticity, Homoscedasticity, Contemporaneous correlation and Feasible Generalized Least Square

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Abstract: A right near-ring N is called Quasi-weak commutative if xyz = yxz[3].A right near-ring N is called quasi weak m- power commutative if xm y z = ymxz for all x,y,z ∈ N,where m ≥1 is a fixed integer [5].An algebra A over a commutative ring R is called scalar quasi-weak commutative if for every x,y,z ∈ A there exists 𝛼 = 𝛼 (x,y,z) ∈ R depending on x,y,z such that xyz = 𝛼 yxz [8] .In this paper we generalise the concept of scalar quasi- weak commutative as scalar quasi-weak m- power commutativity and prove many results..

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Abstract: Fuzzy sets and soft sets are two different tools for representing uncertainty and vagueness. In this paper We introduce the notions of fuzzy soft bi-partite graph, Size and degree of fuzzy soft bi-partite graph and investigating some of their applications..

Keywords: fuzzy soft graph, fuzzy soft bi-partite graph, and size and degree of fuzzy soft bi-partite graph.

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Abstract: Suppose that we have a time series of data like the one with the form 𝑋1,𝑋2,𝑋3,…,𝑋𝑁. In the present paper, an effort takes place for searching on periodicities in the above series. More precisely this random variable X takes four distinct values: a, b, c and d. These values can be distributed in such a way that the periodicities can be seen even with the naked eye or, more likely, they may be latent ones.A special technique, proposed initially in 2009 and based on Systematic Sampling (SyS) is used to disclosure any periodicity latent or obvious. This technique helps to reveal periodicities and ultimately determines the period value T. The distribution of the values of the set {a, b, c, d} is not necessarily (discrete) uniform, although in the most popular applications it is the case, at least approximately.Several illustrative examples are given, in order to make clear the process of revealing the periodicity...........

Keywords: Frequency, Time series, Periodicity, DNA

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Abstract: Parasitism and predation are two ecological interactions that can occur simultaneously in any system of species. Specially, predation becomes particularly interesting in host/prey – parasite systems because predation can significantly modify the abundance of parasites and their host populations. The combined effect of parasites and predator on host/prey population leads to a larger effect on the dynamics of the population sizes. In this paper a prey – predator system is considered. The host species or prey population is categorized into susceptible and infected due to the presence of parasites. Predators are assumed to consume both the susceptible and infected hosts/prey with some partial preference given to susceptible ones. Thus, a mathematical model is developed to describing the population..........

Keywords: eco-epidemiological model; Stability; Predator; numerical simulations.

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[4]. Sen P., Das K. Simultaneous Effects of Prey Defense and Predator Infection on a Predator Prey System. Ann. Bio. Sci., 2017, 5 (1):37-46
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Abstract: The purpose of this paper is to investigate some basic properties of "δ - semi preopen sets" in fuzzy topological spaces. Also the aim of this paper is to introduce and investigate the concept of "fuzzy δ - semi precontinuous mappings" in fuzzy topological spaces. Some of their characterization theorems and basic properties in fuzzy topological spaces are also to be investigated. Also the properties of these mappings with other known fuzzy mappings would be compared. Key words: Fuzzy topological space, fuzzy δ - preopen set, fuzzy δ - semi preopen set, fuzzy δ - semi precontinuous mapping.

Keywords: sbject classification: 54A 40.

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Abstract: A labeling graph G which can be gracefully numbered is said to be graceful. A graph which admits a fuzzy graceful labeling is called a fuzzy graceful graph. In this paper we introduced fuzzy vertex gracefulness and discussed to Friendship graphs and Double star graphs..

Keywords: Graceful labeling, Fuzzy graceful labeling.

[1]. Ameenal Bibi. K, Devi. M, "A note on edge vertex graceful labeling on some special graphs", International journal of advanced research in computer science, Vol – 8, July 2017.
[2]. Jebesty shajila. R and vimala. S, "Fuzzy vertex graceful labeling on wheel and fan grphs", ISOR Journal of mathematics, Vol-12, April 2016, 45-49.
[3]. Vimala S. and Jebestry Shajila R., A note on edge vertex graceful labeling of star and Helmgraph, Advances in Theoretica and Applied Mathematics, 1(2016), 331-338..

Abstract: This paper presents an initial value problem with non-local boundary conditions for the partial differential equation. Modification of adomian decomposition method is introduced for solving problem. Simulation results for example illustrate the comparison of the analytical and numerical solution..

Keywords: Partial differential equation, two-sided, modified decomposition method, non-local boundary condition problem.

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Abstract: This qualitative study utilized descriptive phenomenological approach. It aimed to investigate the lived experiences of the primary grade teachers teaching grade 1 to grade 3 in mathematics subject using waray (mother tongue) language as a medium of instructions. Participants are primary grade teachers teaching mathematics in Catbalogan 2 districts, for the school year 2017 - 2018; semi-structured, face-to-face interviews and observation were the instruments used in the data gathering.From the data analyses, three major themed emerged: (1)it is easier to teach mathematics using waray (mother tongue) language ; (2) Waraylanguage of instruction make the lessons or discussion..............

Keywords: Waraylanguage, medium of instruction, mother tongue, mathematics.

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