iosr-Jm   Volume-1 ~ Issue-4

Abstract: UNIPAR FORMULAE: UNIPAR (UNI+P+AR) means UNIversal formula for Percentage by ARun. These are new innovative formulae of percentage which are applicable to all of its concepts e.g. Profit/ loss, Discount, Compound Interest, Sales Tax, Depreciation, to finding increase/decrease in population and otherconcepts also. It helps the students in dealing their daily monetary transactions in practical life.
Keywords: Compound Interest, Depreciation, Discount, Profit, Sales Tax etc.

[1] Balbir Singh (Kurdi) Mathematics class 8 English medium ( Sahibzada Ajit Singh Nagar: PSEB, 2008)
[2] Anu Soni, Mathematics class 9 English medium ( Sahibzada Ajit Singh Nagar: PSEB, 2008)
[3] R.S.Aggarwal, Quantitative Aptitude (New Delhi: S. Chand & Company, 2008)

Abstract: In this paper mainly we have obtained interesting and independent results using the equivalences L∗, R∗ and H∗.
Keywords: Union of groups, Periodic semigroup and Cancellative semigroup.

[1] Howie, J. M. Fundamentals of semigroup theory, Oxford University Press Inc., New York.

Abstract: In this paper we have obtained some interesting results on Co distributive pair in lattices. We also obtained some results on dually Co distributive pair in general lattice.
Key Words: Co distributive pair, Dually co distributive, d-prime element, Dually d-prime element, d-prime Ideals, Dually d-prime element

[1]. Gratzer,G.(1978) : "General Lattice Theory", Akademic Press, New York.
[2]. Sazsaz,Gabor(1963) : "Introduction to Lattice Theory" Akademic Press, New York and London.
[3]. Srinivas,K.V.R.(2005) : "On D-Prime Ideals of a Lattice" Bull.Cal.Math.Soc.,97(1) 79-94(2005).

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Paper Type	:	Research Paper
Title	:	Mathematical Model for the Determination of Voltage and Current on Lossy Power Transmission Lines
Country	:	Nigeria
Authors	:	M.O. Oke
	:	10.9790/5728-0141618

Abstract: Energy is a basic necessity for the economic development of a nation. There are different forms of energy, but the most important form is the electrical energy. A modern and civilized society is so much dependent on the use of electrical energy. Electrical energy is transmitted by means of transmission lines which deliver bulk power from generating stations to load centers. The industrial development of any nation depends majorly upon the reliability of its interconnected electric power system. Availability of electric energy has been the most powerful vehicle for facilitating economic, industrial and social developments of any nation. When an electric power is generated in sufficient quantities, it needs to be transmitted in bulk to load centers and then distributed to individual consumers in proper form and quality at the lowest possible ecological and economic price. This electric power is transmitted by means of transmission lines. In this paper, we developed mathematical models for the determination of voltage and current on lossy electric power transmission lines. We derived relations which the voltage and current must satisfy on a uniform transmission line. The models contain the primary constants or parameters of the transmission line which include the series resistance (R), the shunt conductance (G), the inductance (L) and the capacitance (C). Values of these constants are specified per unit length.
Keywords: Transmission line equations, Mathematical model, Lossy transmission, Leakages in transmission line, Transmission parameters.

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Abstract: The paper provides the Abelian and Terberian theorem for generalized Mellin-Whittaker transform.
Key-words: Abeliantheorem, Generalized Mellin-Whittaker transform.

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Abstract: This research paper deals the importance's of mathematics laboratory in teaching mathematics in high school mathematics. A total of 200 Mathematics students were involved in the study. The study is a quasi-experimental research. Results were analyzed using mean, standard deviation and analysis of covariance. It was observed that the use of mathematics laboratory enhanced achievement in mathematics. This results also showed that no significant difference exists in the achievement of male and female mathematics students taught with mathematics laboratory. By implementing this we are given more knowledge to students by concrete scene.
Key words: High school students, plane geometry, methodology class, mathematics aids.

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Abstract : In this paper we focus on a negative binomial (NB) regression model to take account of overdispersion in Poisson counts. Moreover, we present the power of score test for testing the overdispersion parameter in the negative binomial regression model. The power of the proposed score test was compared with the LRT and Wald test via Monte Carlo simulation technique using SAS 9.2 software. The application of the test was shown using two real datasets such as using numerical illustration and real datasets.
Keywords- Count data, Negative binomial regression, Overdispersion, Score test

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Abstract: In the study of Greenhouse effect one of the important aspect of global warming is relating to increase of temperature. The factors like CO2,CO and Nitrogen etc plays a vital role to hasten the process of increase in global temperature. The only source of global warming is CO2 emission . Stochastic models are widely used in the study of global warming and its consequences. There are many aspects which are taken for study, the time to green house effect depending upon the increase of global temperature. If the global temperature crosses the threshold level which in turn leads to greenhouse effect. The threshold itself is considered to be a random variable. In this paper assuming that threshold satisfies the property known as Setting the Clock Back to Zero (SCBZ) property, the expected time to seroconversion and its variance are derived. The results are augmented with suitable numerical illustrations.
Key words: Greenhouse effect, Global warming, threshold. The AMS classification number is 92C60.

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Abstract: This paper presents theory and algorithm for solving a Fractional Time Transportation Problem with
Impurity Constraint (FTTPI). The aim is to minimize the maximum of the total time that the various sources take
to serve various destinations with certain amount of impurity presented in the commodities. The Fractional Time
Transportation Problem with Impurity Constraint (FTTPI) is related to Lexicographic Fractional Time
Transportation Problem with Impurity Constraint, which is solved by a lexicographic primal code. An algorithm
is proposed to obtain a global optimal solution which is explained by solving a real life example.
Keywords: Time Transportation, Fractional Programming, Impurities, Lexicographic, Optimization.

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Abstract: Finding applications of abstract algebra and doing research on such applications requires a certain amount of mathematical maturity on the part of the person doing the finding and researching. A strong basic grasp of set theory, mathematical induction, complementarity, and matrices is absolutely essential. This understanding is highly important. The ability to understand and analyze mathematical evidence ought to be given a larger amount of weight in the evaluation process. In this part of the lesson, we will go over the fundamentals of abstract algebra, which form the basis of the a whole course. In addition to this, we look at the principles of modern algebra and its many applications in the real world....

Key Word: Modern Algebra, Rings, Fields. Mathematical Formulation

[1]. Mahima Ranjan Adhikari, Avishek Adhikari (2012) on Basic Modern Algebra with Applications
[2]. William j. Gilbert, w. Keith nicholson (2012) on modern algebra with applications
[3]. David Joyce (2012) on Introduction to Modern Algebra
[4]. Adhikari, M.R., Adhikari, A. (2012) on Groups, Rings and Modules with Applications,
[5]. Adhikari, M.R., Adhikari, A. (2012) on Text Book of Linear Algebra: An Introduction to Modern Algebra.