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Category: Issue 1

On |A, pn, d|k Summability Factors of Fourier Hermite Series

V.N. Tripathi
Department of Mathematics S.B.P.G., College, Bargagaon Varanasi (INDIA)
R.K. Shukla
Department of Mathematics S.B.P.G., College, Bargagaon Varanasi (INDIA)

ABSTRACT:

Bor2 has proved a theorem on summability factors of an infinite series. Özarslan and Ögdük4 have generalized the theorem due to Bor2 by discussing |A, pn|k summability factors of the infinite series. Here, in the present paper, we have studied |A,pn, d|k summability factors of Fourier Hermite series which is an extension of the above results into another direction.

KEYWORDS: summability, summability factor,, Fourier Hermite series,


On An Almost Unified Para-Norden Contact Metric Manifold

Shashi Prakash
Department of Mathematics Faculty of Science Banmaras Hindu Unviersity, Varanasi – 221005 (INDIA)
S.D.Singh
Department of Mathematics Faculty of Science Banmaras Hindu Unviersity, Varanasi – 221005 (INDIA)

ABSTRACT:

In this paper, we have considered an almost unified para-norden contact metric manifold. The Eigen values of the tensor of the type (1, 1) occurring in this manifold have been obtained. Also other theorems have been derived which are of great geometrical importance.

KEYWORDS: manifold, almost Para contact metric manifold, almost norden contact metric manifold, almost unified para-norden contact metric manifold.


Some Boundary Value Problems of Mathematical Physics

V. Dharmaiah
Department of Mathematics, Osmania University, Hyderabad, A.P. – 500007 (INDIA)
B. Surender Reddy
Department of Mathematics, P.G.C.S., Saifabad, Osmania University, Hyderabad, A.P. – 500007 (INDIA)

ABSTRACT:

In this paper, the boundary value problems of Mathematical physics are considered and associated with operator polynomials to study the spectral results of boundary value problems in a Hilbert space setting.

KEYWORDS: Laminar flow, density of the fluid, specific heat, thermal conductivity, coefficient of viscosity, Lateral Buckling of a Beam, Transmission Line


In this paper, the boundary value problems of Mathematical physics are considered and associated with operator polynomials to study the spectral results of boundary value problems in a Hilbert...

Steady MHD convergent channel flow of a non-Newtonian electrically conducting fluid

SHAMPA CHOUDHURY
Department of Mathematics, Pragiyotish College, Guwahati- 781014 (Assam ) INDIA
DEVAJYOTI BISWAS
Department of Mathematics, Assam University, Silchar – 788011. Assam (INDIA)

ABSTRACT:

The two-dimensional steady boundary layer flow through a convergent channel of a non-Newtonian electrically conducting fluid in presence of a transverse magnetic field has been studied. Similarity solutions are obtained by considering a special form of magnetic field. Expressions for velocity and approximate skin friction at the wall have been obtained and numerically worked out for different values of the flow parameters involved in the solution. The non-Newtonian effects on the velocity and the approximate skin friction have been shown graphically with the combination of other flow parameters.

KEYWORDS: Non-Newtonian, MHD, Boundary layer, Similarity solution, Skin-friction


The two-dimensional steady boundary layer flow through a convergent channel of a non-Newtonian electrically conducting fluid in presence of a transverse magnetic field has been studied. Similarity solutions are...

Renewal process with intuitionistic fuzzy random interarrival times

J. Earnest Lazarus Piriyakumar
Department of Mathematics, Tranquebar Bishop Manickam Lutheran College, Porayar – 600 307 (INDIA)
J. Daniel
Department of Mathematics, Tranquebar Bishop Manickam Lutheran College, Porayar – 600 307 (INDIA)

ABSTRACT:

In this paper, we discuss a renewal process using intuitionistic fuzzy random inter arrival times. Realistically the inter arrival times are perceived as non negative intuitionistic fuzzy random variables. With this new theoretical setting the rate of the intuitionistic fuzzy random renewal process is discussed. We have established elementary renewal theorem, and Blackwell’s theorem for intuitionistic fuzzy random variables.

KEYWORDS: Intuitionistic fuzzy random variables, Inter arrival times, renewal process.


In this paper, we discuss a renewal process using intuitionistic fuzzy random inter arrival times. Realistically the inter arrival times are perceived as non negative intuitionistic fuzzy random variables....

Axisymmetric Boussinesq problem for a heated punch of arbitrary profile in an elastic half space

P.K. Mathur
Saifia Science College, Bhopal (M.P.) INDIA)
Madhvi Gupta
Saifia Science College, Bhopal (M.P.) INDIA)

ABSTRACT:

A solution of axisymmetric Boussinesq-type problem is derived for transient thermal stresses in a half-space under heating by using the Laplace and Hankel transforms. An analytical method is developed to predict the temperature field that satisfies the prescribed mechanical conditions. Several simple shapes of punches of arbitrary profile are considered and an expression for the total load is derived to achieve penetration. The numerical results for the temperature and the total load on the punch are shown graphically.

KEYWORDS: Operational Calculus (for fractional derivatives & integrals, Integral & Series Equations, Classical Linear Elasticity.


A solution of axisymmetric Boussinesq-type problem is derived for transient thermal stresses in a half-space under heating by using the Laplace and Hankel transforms. An analytical method is developed...

Power of X- Charts Under Measurement Error

J. R. Singh (jrsinghstat@gmail.com)
School of studies in Mathematics, Vikram University, Ujjain M.P. (INDIA)
R. Sankle (rajshreesankle@gmail.com)
Testing of Hypothesis

ABSTRACT:

The expression for the power of the – chart are derived under measurement error. The power of a control chart under measurement error is examined for the case where both the process average and true variance can change. True and error measurements are additive in nature.

KEYWORDS: Measurement error,, Power Function, Testing of Hypothesis


The expression for the power of the – chart are derived under measurement error. The power of a control chart under measurement error is examined for the case where...

A pentium simulator

Souley Boukari
Mathematical Sciences Programme, Abukakar Tafawa Balewa University, Bauchi (NIGERIA)
Salami
Department of Mathematical Sciences, Nasarwa State Universtiy, Keffi (NIGERIA)
Hamza Onoruoiza
Department of Mathematical Sciences, Nasarwa State Universtiy, Keffi (NIGERIA)

ABSTRACT:

In this paper, a simulator for the Pentium microprocessor (PENTISIM) was developed. The PENTISIM extended some of the features of existing microprocessor simulators such as number of registers and instructions implemented. This tool is strongly recommended for students and researchers learning to know more about microprocessors and assembly language programming.

KEYWORDS: register, assembly language


In this paper, a simulator for the Pentium microprocessor (PENTISIM) was developed. The PENTISIM extended some of the features of existing microprocessor simulators such as number of registers and...

Omination in bipartite graphs

V. Swaminathan (sulanesri@yahoo.com)
Reader (Retd.) S.N. College, Madurai – 625 002 (INDIA)
Y.B. Venkatakrishnan (venkatakrish2@maths.sastra.edu)
Department of Mathematics, Tanjor – 613 402 (INDIA)

ABSTRACT:

Let G= (X,Y,E,) be a bipartite graph. A subset D of X is an X-dominating set if every x € X-D is X-adjacent to at least one vertex u€ D The cardinality of a minimum X-dominating set is called the X-domination number and is denoted by Yx (G) . A minimum cardinality subset S X which dominates all vertices in Y, such a set is called Y-dominating set. The Y-domination number is denoted by Yy (G) We characterize graphs for which Yy (G) = Yy (G) , Yy (G) = Yy (G) , Yhr (G) = I and also prove Yy (G) ≤ Yx (G)

KEYWORDS: Bipartite graphs, X-dominating sets, Y-dominating sets, Hyper Y-dominating sets.


Let G= (X,Y,E,) be a bipartite graph. A subset D of X is an X-dominating set if every x € X-D is X-adjacent to at least one vertex  u€ D The cardinality of a minimum X-dominating set is...

Some applications of graceful labelling

R. Vikrama Prasad (vikramprasad20@gmail.com
Research Scholar, Vinayaka Mission Universtiy & Lecturer, Sona College of technology, Salem – 630 005 (Tamilnadu) INDIA
R. Sattanathan
Reader and Head, P.G. Research Dept. of Mathematics, D.G. Vaishnav College, Ambakkam, Chennai 600 106 (Tamilnadu) INDIA

ABSTRACT:

A simple graph G is a graceful graph if there exists a graceful labeling of the vertices of G. A graph G with e edges has a graceful labeling if there exists an injective function l : V (G) ® {0, 1, …, e} such that |l (x) – l (y)| is distinct and nonzero for all xy Î E (G). If we cannot gracefully label the vertices of G, then G is a non-graceful graph. Graceful labeling is one of the best known labeling methods of graphs. In this work, We will try to give some of the Applications of graceful labeling in balanced graphs.

KEYWORDS: graceful labeling, graceful graph, balanced graph.


A simple graph G is a graceful graph if there exists a graceful labeling of the vertices of G. A graph G with e edges has a graceful labeling if there exists an injective function l : V (G) ® {0, 1,...