Volume-8 ~ Issue-1
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Paper Type | : | Research Paper |
Title | : | The Effect of Field Extension on the Group Structure of Elliptic Curves |
Country | : | Nigeria |
Authors | : | Aliyu Danladi Hina |
: | 10.9790/5728-0810104 |
Abstract: An elliptic curve E defined over a finite field K, E(K) is the set of solutions to the general Weierstrass polynomial E: y2 + a1xy + a3y = x3 + a2x2 + a4x + a6 where the coefficients a1, a2, a3, a4, a6 є K. There exist a well defined addition of points on each curve such that the points form an abelian group under the addition operation. This group is either cyclic or isomorphic to the product of two cyclic groups. These set of solutions that form the group lie in the closure of the field K over which the curve is defined. If we allow the set to lie only in a particular extension of K, the addition operation is well defined there too. Therefore we can associate a group to every extension K' of the field K denoted by E(K'). Will the structure of the group defined over the base field K, be affected if the same group is made to lie in the extension K' of K?
Key words: Cyclic group, Elliptic Curve, Field Extension, Finite Field, Sylow Theorem
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Abstract: In automatic text categorization procedure, quantifiable features' information is extracted from a text and on the basis of the information the text is sorted as a category. This information consists of values of set of one or more measurements, where the measurements can be considered as frequencies or function of frequencies of linguistic elements. In the process of text classification and genre discrimination, the role of the systematic study of word length and the analyses of word-length statistics of different texts has been established by researchers for various languages. In the present paper an attempt has been made to test the contribution of quantitative word length features in classification of written texts of Hindi Language by extracting quantitative measures with the help of word length profiles and frequencies.
Keywords: Categorization, Feature, Text, Word-length.
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Abstract: This paper proposes a semi-parametric generalized linear mixed model (GLMM) method of evaluating the impact of covariates on diagnostic tests accuracy of gestational diabetic mellitus (GDM).The proposed method unlike other regression based methods produces smooth Receiver Operating Characteristic curves (ROC) with very good precision and are unbiased. It was however applied in obtaining a given common cut-off value for the screening of GDM using glucose challenge test (GCT) in which a threshold of 177 mg/dl was recommended as the cutoff value of 50 grams GCT for screening of GDM in each trimester in GDM risk women. The proposed methods were seen to compare favorably with other known methods.
Keywords: semi-parametric, ROC curves, AUC, GDM, diagnostic test, parameters
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Abstract: This research paper deals with the s o l u t i o n o f systems of Non-Linear Volterra's Integro- Differential Equations using the New Variational Homotopy Perturbation Method. The New Method does not require discritization, linearization or any restrictive assumption of any form in providing analytical or approximate solutions to linear and nonlinear equation. Theses virtues make it to be reliable and its efficiency is demonstrated with numerical examples.
Keywords: systems of Non-Linear Volterra's Integro-Differential equations; Variational Iteration Method,
Homotopy Perturbation Method, New Variational Homotopy Perturbation Method.
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Abstract: This research paper deals with the systems of partial differential equations by using the New Variational Homotopy Perturbation Method. The New Method does not require discritization, linearization or any restrictive assumption of any form in providing analytical or approximate solutions to linear and nonlinear equation. Theses virtues make it to be reliable and its efficiency is demonstrated with numerical examples. Mathematics subject classification: 35k15, 35C05, 65D99, 65M99
Keywords: systems of partial differential equations; Variational Iteration Method, Homotopy
Perturbation Method, New Variational Homotopy Perturbation Method, Boundary Value Problems;
Initial Value Problems.
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Paper Type | : | Research Paper |
Title | : | Pythagorean Equation and Special M-Gonal Numbers |
Country | : | India |
Authors | : | M. A. Gopalan, V. Geetha |
: | 10.9790/5728-0813134 |
Abstract: Employing the solutions of the Pythagorean equation, we obtain the relations between the pairs of special polygonal numbers such that the difference in each pair is a perfect square.
Key Words: Pythagorean equation,Polygonal numbers
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2 2 y 5x 1 , Impact J.Sci.Tech. 4(4),(2010),
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Paper Type | : | Research Paper |
Title | : | On ∅- Concircurlarly Symmetric Para Sasakian Manifold |
Country | : | India |
Authors | : | Sunil Kumar Srivastava & Kripa Sindhu Prasad |
: | 10.9790/5728-0813537 |
Abstract: The present paper deals with the study of ∅- concircurlarly symmetric Para Sasakian manifold and have study locally and globally ∅- concircurlarly symmetric Para Sasakian manifold.further we have shown that globally symmetry and globally ∅- concircurlarly symmetric are equivalent.Next we study 3 – dimensional locally ∅- concircurlarly symmetric Para Sasakian manifold. AMS mathematics Subject classification(2010): 53C15, 53C40
Key words and phrases: ∅- concirurlarly symmetric para Sasakian manifold, Globally ∅- concircularly symmetric para Sasakian manifold, Locally ∅−concircularly symmetric para Sasakian manifold.
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Paper Type | : | Research Paper |
Title | : | A Study On Translations Of Anti S-Fuzzy Subhemiring Of A Hemiring |
Country | : | India |
Authors | : | K. Umadevi, C. Elango, P. Thangavelu |
: | 10.9790/5728-0813844 |
Abstract: In this paper, we made an attempt to study the algebraic nature of an anti (T, S)-fuzzy normal ideals and translations of anti S-fuzzy subhemiring of a hemiring. 2000 AMS Subject classification: 03F55, 06D72, 08A72.
Key Words: Anti S-fuzzy subhemiring, anti (T, S)-fuzzy ideal, anti (T, S)-fuzzy normal ideal, anti-product, translations, lower level.
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Paper Type | : | Research Paper |
Title | : | Application of Linear Programming techniques in Personnel Management |
Country | : | India |
Authors | : | Raj Kishore Singh, S. P. Varma, Arvind Kumar |
: | 10.9790/5728-0814548 |
Abstract: No individual or organisation can succeed without making appropriate decision. Thus decision making in today's social and business environment has become a tedious task. It is proposed to apply linear programming techniques in the area of personnel management to minimize the cost of some training programme adopted by an institution which has a very good number of employees that include teaching and non- teaching staff. The institute desires to send its employees for a training programme essential for alround development at minimum cost.
Keywords: Business environment , Linear programming , Modelling, Organisation, Personnel management .
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Abstract: This paper investigate the study of vorticity of unsteady MHD free convection and mass transfer Flow of Visco-elastic fluid through porous medium with constant Suction and Heat flux. The effects of the important flow parameters such as Magnetic Parameter (M), Grashoff number (Gr), Modified Grashoff number (Gm), Prandtle number (Pr) and Schimdt number (Sc) on the vorticity of the flow field are analyzed quantitatively with the help of figures and tables.
Keywords: MHD flow, free convection, Porous medium, Suction, Heat flux, Mass transfer, Vorticity.
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Abstract: The present study deals with higher dimensional dilaton-Brans-Dicke cosmology where the multiverse is filled with dark energy or phantom energy having a positive cosmological constant and which contains infinite singularities with eternally Big Rip. It is the extension of 4-dimensional cosmological model discussed by El-Nabulsi Ahmad Rami (2010).
Keywords: Anisotropic Generalised Chaplygin gas, Dilation Brans –Dicke scalar field, Dynamical
cosmological constant. Dark energy. Phantom energy. Big Rip. Multiverse. Higher dimensions. Dark Energy,
Perfect Fluid, Bianchi type-IX Universe.
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Paper Type | : | Research Paper |
Title | : | Operation Transform Formulae for the Generalized Canonical Hartley Transform |
Country | : | India |
Authors | : | A. S. Gudadhe, A. V. Joshi |
: | 10.9790/5728-0816469 |
Abstract: The canonical Hartley transform (CHT) is one of the important transform in the class of linear canonical transform (LCT). It has been used in several areas, including optical analysis and signal processing. For practical purpose canonical Hartley transform is more useful. Hence in this paper we have proved its Inversion theorem along with uniqueness. Some important results about Differentiation, Linearity, Shifting, Scaling property for canonical Hartley transform are also explored.
Keywords: Linear canonical transform, Hartley Transform, Fractional Fourier Transform.
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