[59] **viXra:1405.0203 [pdf]**
*replaced on 2014-05-13 09:34:09*

**Authors:** Bertrand Wong

**Comments:** 3 Pages.

This article raises some important points about algebra.

**Category:** General Mathematics

[58] **viXra:1405.0193 [pdf]**
*submitted on 2014-05-07 23:30:55*

**Authors:** Blanca E. Carvajal-Gámez, Francisco J. Gallegos-Funes, José Luis López-Bonilla, René Cruz-Santiago

**Comments:** 7 Pages.

In this paper, we present a novel method for hidden information in the wavelet domain. The proposed method uses the wavelet domain iterative center weighted median algorithm to estimate the noise areas of an RGB image. We propose to use the noise pixels as places to hidden information to provide good invisibility and fine detail preservation of processed images. The proposed method consistently identifies if the wavelets coefficients of an image contains noise pixels or not, this algorithm works with variances and standard deviations of the same wavelet coefficients of image. The experimental results from a known technique are compared with the proposed method to demonstrate its performance in terms of objective and subjective sense.

**Category:** General Mathematics

[57] **viXra:1405.0192 [pdf]**
*submitted on 2014-05-07 23:33:52*

**Authors:** Feng Cheng Chang

**Comments:** 35 Pages.

An efficient technique is developed to simplify the computations in the field of vector analysis. The evaluation of vector algebraic and differential operations becomes more simple and straightforward by simply transforming the vector operations into matrix operations. The matrix operations are especially useful when there are mixed coordinate basis involved in the vector operations.

**Category:** General Mathematics

[56] **viXra:1405.0191 [pdf]**
*submitted on 2014-05-07 23:35:43*

**Authors:** J. López-Bonilla, A. Hernández-Galeana, J. Rivera-Rebolledo

**Comments:** 5 Pages.

It is shown explicitly a similarity transformation to diagonalize the rotation matrix.

**Category:** General Mathematics

[55] **viXra:1405.0190 [pdf]**
*submitted on 2014-05-07 23:36:44*

**Authors:** Guangbin Wang, Fuping Tan, Ting Wang

**Comments:** 10 Pages.

In this paper, we discuss the convergence of GAOR method to solve
linear system when the coefficient matrix is a weighted strictly doubly diagonally
dominant matrix. Moreover, we show that our results are better than previous ones
by using two numerical examples.

**Category:** General Mathematics

[54] **viXra:1405.0189 [pdf]**
*submitted on 2014-05-07 23:39:42*

**Authors:** B.K. Dutta, L.K. Arora

**Comments:** 10 Pages.

In this paper, we investigate the basic analogue of a new
hypergeometric function, which is a generalization of the basic I-function. In
this regard, the application of Riemann-Liouville and Weyl fractional q-integral
operator with new hypergeometric function has been discussed. Similar result
obtained by other authors follows as special cases of our findings.

**Category:** General Mathematics

[53] **viXra:1405.0188 [pdf]**
*submitted on 2014-05-07 23:40:20*

**Authors:** Baoguang Tian, Chunyun Sheng

**Comments:** 6 Pages.

It is an important problem to study the correlativity of two random variables. The
correlation coefficient can be used to measure the correlativity of two random variables and the
generalized correlation coefficient can be used to measure the correlativity of two random vectors .
In this paper, The property of Moore Penrose generalized inverse has been proved and we make
use of it to mainly discuss the property of generalized correlation coefficient of two random vectors
and obtain some meaningful results.

**Category:** General Mathematics

[52] **viXra:1405.0187 [pdf]**
*submitted on 2014-05-07 23:40:59*

**Authors:** Basheer Mohamad Al-Maqaleh

**Comments:** 8 Pages.

Automated discovery of rules is, due to its applicability, one of the most fundamental and important method in Knowledge Discovery in Databases(KDD). It has been an active research area in the recent past. This paper presents a classification algorithm based on Evolutionary Approach(EA) that discovers interesting classification rules in the form If P Then D. A flexible encoding scheme, genetic operators and a suitable fitness function to measure the goodness of rules are proposed for effective evolution of rule sets. The proposed algorithm is validated on several datasets of UCI data set repository and the experimental results are presented to demonstrate the effectiveness of the proposed scheme for automated rule mining.

**Category:** General Mathematics

[51] **viXra:1405.0186 [pdf]**
*submitted on 2014-05-07 23:42:37*

**Authors:** Naji Qatanani, Mai Musmar

**Comments:** 12 Pages.

This article is concerned with the formulation and analytical solution of equations for modeling a steady two-dimensional MHD flow of an electrically conducting viscous incompressible fluid in porous media in the presence of a transverse magnetic field. The governing equations, namely, Navier-Stokes equations and the Darcy-Lapwood-Brinkman model are employed for the flow through the porous media. The solutions obtained for the Riabouchinsky-type flows are then classified into different types.

**Category:** General Mathematics

[50] **viXra:1405.0185 [pdf]**
*submitted on 2014-05-07 23:44:04*

**Authors:** J. C. Prajapati, A. K. Shukla

**Comments:** 19 Pages.

The principal aim of the paper is to introduce the
various generalizations of Shukla-Prajapati functions and
polynomials. For these new functions and polynomials their
various properties including usual differentiation and integration,
Integral transforms, Generalised hypergeometric series form,
Mellin – Barnes integral representation, Recurrence relations,
Integral representation, Decomposition, Fractional calculus
operators properties, generating relations, bilateral generating
relation and finite summation formulae of new class of
polynomials also established.

**Category:** General Mathematics

[49] **viXra:1405.0184 [pdf]**
*submitted on 2014-05-07 23:45:52*

**Authors:** Anirudh Pradhan, Shyam Sundar Kumhar, Padmini Yadav, Kanti Jotania

**Comments:** 16 Pages.

A new class of LRS Bianchi type VI0 cosmological models with free gravitational elds and a
variable cosmological term is investigated in presence of perfect
uid as well as bulk viscous
uid. To get
the deterministic solution we have imposed the two dierent conditions over the free gravitational elds.
In rst case we consider the free gravitational eld as magnetic type whereas in second case `gravitational
wrench' of unit `pitch" is supposed to be present in free gravitational eld. The viscosity coecient of bulk
viscous
uid is assumed to be a power function of mass density. The eect of bulk viscous
uid distribution
in the universe is compared with perfect
uid model. The cosmological constant is found to be a positive
decreasing function of time which is corroborated by results from recent observations. The physical and
geometric aspects of the models are discussed.

**Category:** General Mathematics

[48] **viXra:1405.0183 [pdf]**
*submitted on 2014-05-07 23:46:59*

**Authors:** Talat Körpınar, Essin Turhan, J. López-Bonilla

**Comments:** 7 Pages.

In this paper, we study focal curve of biharmonic curves in the SL R 2 . Finally, we find out their explicit parametric equations.

**Category:** General Mathematics

[47] **viXra:1405.0182 [pdf]**
*submitted on 2014-05-07 23:47:50*

**Authors:** Luis A. Iturri-Hinojosa, José L López-Bonilla, Daniel Rodríguez-Saldaña

**Comments:** 9 Pages.

A design methodology of loaded-line phase shifters based on bulk p-i-n diodes is presented. The design methodology is verified with phase shifters based on Silicon (Si) and Gallium Arsenide (GaAs) p-i-n diodes with different geometry. The responses of circuit design of 45° phase shift are analyzed. The circuits designed with bulk p-i-n diodes I-layer thickness of 50 microns reaches a variation of 4.8 degrees in phase shift responses in a bandwidth of 1GHz, at the center frequency of 10GHz. The reflection coefficient responses are less than 0.1 for the forward and reverse biased p-i-n diode.

**Category:** General Mathematics

[46] **viXra:1405.0181 [pdf]**
*submitted on 2014-05-07 23:48:32*

**Authors:** Victor Manuel Salazar del Moral, Alberto Rafael Portillo Méndez, Javier Herrera Espinosa

**Comments:** 10 Pages.

This article presents the standard deviation which was calculated from experimental data obtained in laboratory tests for breakdown voltage direct current in both polarities at high altitude above sea level. For the tests rod gap-plane arrangement was used at three different profiles for the rod electrode. The standard deviation is reported in terms of absolute humidity, the profile of the electrode tip used and the electrode gap. The tests were carried out at the Laboratory of High Voltage ESIME Zacatenco Instituto Politecnico Nacional located at an altitude of 2240 meters.

**Category:** General Mathematics

[45] **viXra:1405.0180 [pdf]**
*submitted on 2014-05-07 23:49:40*

**Authors:** Bhaskar Kalita

**Comments:** 13 Pages.

In this work a study is presented of the effects of mass transfer on unsteady free
convection flow of an incompressible viscous fluid past between two heated vertical parallel
plates under uniform transverse magnetic field. An analytical solution for the problem under
consideration has been obtained using the Laplace Transform Method 7. The effects of the
concentration parameter Sc (Schmidt number), the magnetic parameter M, the viscosity-heat
conduction parameter Pr (Prandtl number) together with variation of time, have been
examined on the flow of fluid velocity, temperature and concentration. The analytical results
have shown that the above mentioned effects have to be taken into consideration in the flow
of fluid, heat and mass transfer processes.

**Category:** General Mathematics

[44] **viXra:1405.0179 [pdf]**
*submitted on 2014-05-07 23:50:28*

**Authors:** Ber-Lin Yu, Hong Cheng

**Comments:** 5 Pages.

In this note, the nonlinear matrix polynomial equation X^2 A 2
over complex field C are investigated. All solutions of this matrix polynomial
equation of order 2 are presented.

**Category:** General Mathematics

[43] **viXra:1405.0178 [pdf]**
*submitted on 2014-05-07 23:51:33*

**Authors:** G.shanmugam, N.rajesh

**Comments:** 10 Pages.

In this paper, we have study the some new properties of sg- closed sets in
topological spaces.

**Category:** General Mathematics

[42] **viXra:1405.0177 [pdf]**
*submitted on 2014-05-07 23:52:24*

**Authors:** D.V.S.R. Anil Kumar, T.Nageswara Rao, J. Venkateswara Rao

**Comments:** 8 Pages.

This manuscript describes that the class of super lattice measurable sets is closed under finite unions, countable unions, and countable intersections. It has been established that the product two lattice σ- algebras defined on a product lattice is lattice measurable and the elementary integration of these lattice measurable sets are equal. Further some characteristics of lattice σ- finite measures were identified.

**Category:** General Mathematics

[41] **viXra:1405.0176 [pdf]**
*submitted on 2014-05-07 23:53:15*

**Authors:** J. K. Mane, K. P. Ghadle

**Comments:** 11 Pages.

Present work deals with analysis maintenance activity single-machine scheduling and due-date assignment simultaneously. The objective is to find the optimal maintenance position as well as the optimal location of the common due-date for minimizing the total of earliness, tardiness and due-date costs. We introduce a polynomial 0 (n4) time solution for the problem. To solve the scheduling problem addressed in this work, we have to determine the job sequence, the common due-date, and the location of a maintenance activity. We also present two special cases of the problem and show that they can be optimally solved by a lower order algorithm.

**Category:** General Mathematics

[40] **viXra:1405.0174 [pdf]**
*submitted on 2014-05-07 23:55:27*

**Authors:** S. B. Chavhan, V.C. Borkar

**Comments:** 5 Pages.

This paper is concerned with the definition of two-dimensional (2-D) generalized canonical cosine-cosine
transform it is extended to the distribution of compact support by using kernel method. We have discussed inversion
theorem for that transform. Lastly we have proved some properties of that transform

**Category:** General Mathematics

[39] **viXra:1405.0173 [pdf]**
*submitted on 2014-05-07 23:56:21*

**Authors:** Shweta Singh, G. C. Dubey, Rajesh Shrivastava

**Comments:** 8 Pages.

In this paper, we have obtain optimal solution Transportation problem. The work is showed is more close with intial basic feasible solution (IBFS) obtained by vogel’s approximation method (VAM). The comparison of optimal solution has been shown in this paper, by the Modi and Zero Point (z-p) method. The z-p method is applied for finding an optimal solution for T.P. directly. The proposed method is unique it gives always optimal solution without disturbance of degeneracy condition. The z-p method requires least interations to reach optimality condition as compared to the existing Modi Method. The z-p method avoides the degeneracy in the T.P.. The procedure for the solutions is illustrated with an example. Further, comparative study among the new algorithm and the existing algorithm is established by the means of sample.

**Category:** General Mathematics

[38] **viXra:1405.0172 [pdf]**
*submitted on 2014-05-07 23:58:12*

**Authors:** G.shanmugam, N.rajesh

**Comments:** 10 Pages.

The purpose of this paper is to give two new types of irresolute
functions called, completely sg - irresolute functions and weakly sg -
irresolute functions. We obtain theirs characterizations and theirs basic
properties.

**Category:** General Mathematics

[37] **viXra:1405.0171 [pdf]**
*submitted on 2014-05-08 00:14:24*

**Authors:** M.trinita Pricilla, I.arockiarani

**Comments:** 9 Pages.

The focus of this paper is to formulate the notion of completely gμbirresolute
function which is a stronger form of gμb-irresolute function in supra
topological spaces. Further the class of gμb-closed sets are utilized to define the
applications namely strongly gμb-normal space, strongly gμb-regular space, mildly gμbregular
spaces and some of their characterizations are obtained.

**Category:** General Mathematics

[36] **viXra:1405.0170 [pdf]**
*submitted on 2014-05-08 00:16:01*

**Authors:** T. Jayakumar, K. Kanagarajan, S. Indrakumar

**Comments:** 13 Pages.

In this paper we study a numerical solution for Nth-order fuzzy
differential equations based on Seikkala derivative with initial value problem.
The Runge-Kutta Nystrom method is used for the numerical solution of this
problem and the convergence and stability of the method is proved. By this
method, we can obtain strong fuzzy solution. This method is illustrated by
solving examples.

**Category:** General Mathematics

[35] **viXra:1405.0169 [pdf]**
*submitted on 2014-05-08 00:17:34*

**Authors:** Mehsin Jabel Atteya, Dalal Ibraheem Rasen

**Comments:** 6 Pages.

The main purpose of this paper is to use the idea of finding the unlimited integration of the product of powers of the (sinz) and (cosz)-functions, and the product of powers of the (tanz) and (secz)-functions to derive tow trigonometrically identities.

**Category:** General Mathematics

[34] **viXra:1405.0168 [pdf]**
*submitted on 2014-05-08 00:18:30*

**Authors:** Mehsin Jabel Atteya, Dalal Ibraheem Rasen

**Comments:** 7 Pages.

The main purpose of this paper is to study and investigate some results concerning derivation d on semiprime near-ring N , we obtain d is commuting (resp.centralizing on N) on N.

**Category:** General Mathematics

[33] **viXra:1405.0167 [pdf]**
*submitted on 2014-05-08 00:19:26*

**Authors:** Sümeyye GÜR, Süleyman ŞENYURT

**Comments:** 16 Pages.

In this paper, firstly we have defined the involute curves of the dual
spacelike curve 1 M
with a dual timelike binormal in dual Lorentzian space
3
1 ID We
have seen that the dual involute curve 2 M must be a dual spacelike curve with a dual
spacelike or timelike binormal vector. Secondly,the relationship between the Frenet
frames of couple the spacelike – spacelike involute – evolute dual curve has been
found and finally some new characterizations related to the couple of the dual curve
has been given.

**Category:** General Mathematics

[32] **viXra:1405.0166 [pdf]**
*submitted on 2014-05-08 00:20:25*

**Authors:** Badrinath E. Ghonge, Kirtiwant P. Ghadle

**Comments:** 8 Pages.

The present work deals with transient thermoelastic problem of a semi infinite hollow cylinder to determine the temperature, displacement and thermal stresses with the stated conditions. The transient heat conduction equation with stated conditions is solved by using Marchi-Zgrablich transform and Fourier Sine transform simultaneously and the results for temperature distribution, heat flux distribution, displacement and thermal stress functions are obtained in terms of infinite series of Bessel's function. These results solved for special case by using Math-Cad 2007 software and presented graphically by using Origin software.

**Category:** General Mathematics

[31] **viXra:1405.0165 [pdf]**
*submitted on 2014-05-08 00:21:28*

**Authors:** S. Balasubramanian, M. Laxmi Sarada

**Comments:** 8 Pages.

The object of the present paper is to study the basic properties of Almost contra−gpr−continuous functions.

**Category:** General Mathematics

[30] **viXra:1405.0164 [pdf]**
*submitted on 2014-05-08 00:22:38*

**Authors:** S. Balasubramanian, M. Lakshmi Sarada

**Comments:** 8 Pages.

In this paper we discuss new type of closed and open mappings called gpr-closed and gpr-open mappings; its properties and interrelation with other such functions are studied.

**Category:** General Mathematics

[29] **viXra:1405.0163 [pdf]**
*submitted on 2014-05-08 00:24:18*

**Authors:** D.Sasikala, I.Arockiarani

**Comments:** 8 Pages.

The aim of this paper is to introduce the concept of J- locally- closed sets in bigeneralized topologi-cal spaces and study some of their properties. Using these concepts, some of the generalizations of pairwise LC-continuous maps in bigeneralized topological spaces are defined and their characteri-zations are investigated.

**Category:** General Mathematics

[28] **viXra:1405.0161 [pdf]**
*submitted on 2014-05-08 00:26:21*

**Authors:** Yihao Guo, Xiangjuan Yao

**Comments:** 12 Pages.

LetG be an undirected graph, A be an (additive) abelian
group and
* A = A- {0}.A graph G is A -connected if G has an
orientation D(G) such that for every function b :V(G) ® A
satisfyinvÎ V(G),b(v) =0, there is a function
* f : E(G) ® A such
that at each vertex v Î V(G), ( ) ( )
e ED v f e + Î å - ( ) ( )
e ED v f e - Î å =b(v) .
In this study, we proved that if G has an odd cycle C and for every
vertex ( ), ( ) 3 C vÎ V G d v = ,then G has no 3 Z - NZF . Furthermore,
we proposed a few applications of this result.

**Category:** General Mathematics

[27] **viXra:1405.0160 [pdf]**
*submitted on 2014-05-08 00:27:21*

**Authors:** B. R. Sontakke, A. A. Navalekar

**Comments:** 8 Pages.

This paper is concern with direct steady-state thermoelastic problem
to determine the temperature, displacement and stress functions of a thin
annular disc of thickness 2h , occupying the space
D: a r b,h z h with the stated boundary conditions. The finite
Hankel transform techniques have been used.

**Category:** General Mathematics

[26] **viXra:1405.0159 [pdf]**
*submitted on 2014-05-08 00:31:59*

**Authors:** S. Balasubramanian, C. Sandhya

**Comments:** 12 Pages.

In this paper we tried to introduce a new variety of
continuous and open functions called Somewhat almost sg-continuous
functions and Somewhat almost sg-open functions. Its basic properties
are discussed.

**Category:** General Mathematics

[25] **viXra:1405.0158 [pdf]**
*submitted on 2014-05-08 00:39:24*

**Authors:** S. Balasubramanian, P.Aruna Swathi Vyjayanthi

**Comments:** 13 Pages.

The object of the paper is to study basic properties of Almost v-continuity.

**Category:** General Mathematics

[24] **viXra:1405.0157 [pdf]**
*submitted on 2014-05-08 00:40:18*

**Authors:** S. Balasubramanian

**Comments:** 15 Pages.

The object of the paper is to study basic properties of Almost
contra vg-continuous functions.

**Category:** General Mathematics

[23] **viXra:1405.0156 [pdf]**
*submitted on 2014-05-08 00:41:11*

**Authors:** R.B. Sharma, K. Saroja

**Comments:** 13 Pages.

The aim of the present paper is to introduce two new subclasses of p-valent
functions with complex order. The coefficient inequalities and Fekete-Szego inequality
for the functions in these classes are also obtained.

**Category:** General Mathematics

[22] **viXra:1405.0155 [pdf]**
*submitted on 2014-05-08 00:41:53*

**Authors:** Shanliang Zhu

**Comments:** 11 Pages.

In this paper, The author studies the existence of bounded nonoscillatory solutions of a class of forced higher order nonlinear neutral dynamic
equations on a time scale
T
. By using fixed point theorem and some new
techniques, the author obtains sufficient conditions for the existence of nonoscillatory solutions for general
()
i
pt
,
()
i
fx
and
() qt
which means
that they are allowed oscillate. The results not only generalize and improve the
known results stated for differential and difference equations, but also improve
some of the results for dynamic equations on time scales. An example is
included to illustrate the results.

**Category:** General Mathematics

[21] **viXra:1405.0154 [pdf]**
*submitted on 2014-05-08 00:55:56*

**Authors:** Kirtiwant P. Ghadle, Priyanka B. Gaikwad

**Comments:** 11 Pages.

In this paper, in hollow cylinders it is to be noticed that all possible prob-
lems on boundary conditions can be solved by particularizing the method
described here. A new finite integral transformation an extension of those
given by Sneddon [11] whose kernel is given by cylindrical functions, is used
to solve the problem of finding the temperature at any point of a hollow cylin-
der of any height, with boundary conditions of radiation type on the outside
and inside surfaces with independent radiation constants.

**Category:** General Mathematics

[20] **viXra:1405.0153 [pdf]**
*submitted on 2014-05-08 00:56:47*

**Authors:** R.V.N.SrinivasaRao, J.VenkateswaraRao, T.Nageswara Rao

**Comments:** 10 Pages.

Total colouring is a combination of vertex and edge colouring. Quasi
total coloring of a graph is an assignment of colours to vertices and edges such that
distinct colours are assigned to adjacent vertices and edges or incident vertices and
edges. This manuscript is going to count the possible number of assignments of
different proper colourings of these quasi total graphs of a (p, q) connected graphs
with p ≤ 3 and 1≤ q ≤ 3with given number of colours using deletion -contraction
algorithm.

**Category:** General Mathematics

[19] **viXra:1405.0152 [pdf]**
*submitted on 2014-05-08 00:58:24*

**Authors:** D.Sreeja, C.Janaki

**Comments:** 10 Pages.

In this paper, we have introduced new continuous and open functions called somewhat πgb-continuous
and somewhat πgb -open functions by using πgb-open sets . Further somewhat almost πgb-open sets, and
somewhat M- πgb-open functions are also discussed. Its various characterizations and properties are established.

**Category:** General Mathematics

[18] **viXra:1405.0151 [pdf]**
*submitted on 2014-05-08 00:59:14*

**Authors:** Y.B.Maralabhavi, Shivaprasanna G.S

**Comments:** 11 Pages.

The object of present paper is to study the symmetric and skew symmetric
properties of a second order parallel tensor in a generalized Sasakian space-form.

**Category:** General Mathematics

[17] **viXra:1405.0144 [pdf]**
*submitted on 2014-05-08 01:00:21*

**Authors:** S. Imnang

**Comments:** 22 Pages.

The purpose of this paper is to study the strong convergence of a hybrid
iterative scheme for finding a common element of the set of a general system of
variational inequalities for α-inverse- strongly monotone mapping and relaxed (c,d)-
cocoercive mapping, the set of solutions of a mixed equilibrium problem and the set
of common fixed points of a finite family of nonexpansive mappings in a real Hilbert
space. Using the demi-closedness principle for nonexpansive mapping, we prove
that the iterative sequence converges strongly to a common element of these three
sets under some control conditions. Our results extend recent results announced by
many others.

**Category:** General Mathematics

[16] **viXra:1405.0143 [pdf]**
*submitted on 2014-05-08 01:01:40*

**Authors:** Mehmet Bektaş, Mahmut Ergüt, Alper Osman Öğrenmiş

**Comments:** 8 Pages.

Special curves and their characterizations are one of the
main area of mathematicians and physicians.
In the present paper we define Mannheim curves for 4-dimensional Galilean
space and investigate some characterization of it.

**Category:** General Mathematics

[15] **viXra:1405.0142 [pdf]**
*submitted on 2014-05-08 01:02:45*

**Authors:** R.balaji, N.rajesh

**Comments:** 14 Pages.

The aim of this paper is to introduce and characterize a new
class of functions called almost
b I -continuous functions in ideal
topological spaces by using
b I -open sets.

**Category:** General Mathematics

[14] **viXra:1405.0141 [pdf]**
*submitted on 2014-05-08 01:03:31*

**Authors:** G.shanmugam, N.rajesh

**Comments:** 12 Pages.

In this paper, we introduce and study the concept of almost sgα-continuity
in topological spaces.

**Category:** General Mathematics

[13] **viXra:1405.0140 [pdf]**
*submitted on 2014-05-08 01:04:20*

**Authors:** Abhishek Singh, P.K.Banerji

**Comments:** 12 Pages.

This paper investigates the S -transform on the space of tempered
Boehmians. Inversion and properties are also discussed.

**Category:** General Mathematics

[12] **viXra:1405.0139 [pdf]**
*submitted on 2014-05-08 01:05:28*

**Authors:** Min Zhu, Yihao Guo, Fenglei Tian, Lingfei Lu

**Comments:** 12 Pages.

Let
)
(d
n
(
)
(d
n
) be the set of connected non-bipartite
( unicyclic ) graphs with n vertices and diameter d . In this paper, we first
determine the graph whose least eigenvalue of the signless Laplacian attains the
minimum in
)
(d
n
, then by by the eigenvalue interlacing property, the
problem of determining the minimizing graph in
)
(dn
can be transformed
to that of determining the minimizing graph in
)
(d
n
. Thus we obtain a
lower bound for the least eigenvalue of the signless Laplacian of a non-bipartite
graph in terms of the diameter d .

**Category:** General Mathematics

[11] **viXra:1405.0138 [pdf]**
*submitted on 2014-05-08 01:06:32*

**Authors:** Esmail Hesameddini, Elham Asadolahifard

**Comments:** 9 Pages.

This paper presents meshfree method for solving systems of linear
Volterra integro-differential equations with initial conditions. This approach is
based on collocation method using Sinc basis functions. It's well-known that the
Sinc approximate solution converges exponentially to the exact solution. Some
numerical results are included to show the validity of this method.

**Category:** General Mathematics

[10] **viXra:1405.0137 [pdf]**
*submitted on 2014-05-08 01:17:10*

**Authors:** A.V.N.Krishna

**Comments:** 11 Pages.

Here we consider one dimensional heat conduction with thermo physical
properties K, ROW, Cp of a material varying with temperature. The physical problem
is that of a Rocket Nozzle Throat of finite thickness L, whose outer surface is
insulated with a net heat flux at inner radius. The problem is solved by using Inverse
Heat Conduction Technique (IHCP).

**Category:** General Mathematics

[9] **viXra:1405.0136 [pdf]**
*submitted on 2014-05-08 01:31:23*

**Authors:** Abdelkarim Boua, Abderrahmane Raji

**Comments:** 5 Pages.

The objective of this paper is to introduce the concept of
“involution” in 3-prime near-rings, and to prove some theorems
involving this mapping. Moreover, an example is given to illustrate
that the restriction imposed on the hypothesis of theorems were not
superfluous.

**Category:** General Mathematics

[8] **viXra:1405.0135 [pdf]**
*submitted on 2014-05-08 01:32:26*

**Authors:** M. I. Garc´ıa-Planas, M.M. López-Cabeceira

**Comments:** 16 Pages.

In this work immersed in the field of control theory on a Given
a singular linear dynamic time invariant represented by Ex+(t) =
Ax(t)Bu(t), y(t) = Cx(t). We want to classify singular systems such
that by means a feedback and an output injection, the transfer ma-
trix of the system is a polynomial, for that we analyze conditions for
obtention of a coprime factorization of transfer matrices of singular lin-
ear systems defined over commutative rings R with element unit. The
problem presented is related to the existence of solutions of a Stein
matritial equation XE − NXA = Z.

**Category:** General Mathematics

[7] **viXra:1405.0134 [pdf]**
*submitted on 2014-05-08 01:34:22*

**Authors:** Abdelkarim Boua

**Comments:** 4 Pages.

In this paper, we correct some results of the article entitled
“Notes on the commutativity of prime near-rings” published in the
journal Miskolc Mathematical Notes, Vol. 12 (2011), no. 2.

**Category:** General Mathematics

[6] **viXra:1405.0133 [pdf]**
*submitted on 2014-05-08 01:35:57*

**Authors:** K.Kanagarajan, R.Suresh

**Comments:** 11 Pages.

In this paper, we interpret a fuzzy differential equation by using the
strongly generalized differentiability concept. Utilizing the Generalized
Characterization Theorem, we investigate the problem of finding a nu-
merical approximation of solutions. The Modified Euler approximation
method is implemented and its error analysis, which guarantees point-
wise convergence, is given. The method applicability is illustrated by
solving a linear first-order fuzzy differential equation.

**Category:** General Mathematics

[5] **viXra:1405.0132 [pdf]**
*submitted on 2014-05-08 01:37:13*

**Authors:** Deshna Loonker, P. K. Banerji

**Comments:** 7 Pages.

The fractional calculus for the Natural transform is introduced and
some non homogenous fractional ordinary differential equations are solved using
Natural transform.

**Category:** General Mathematics

[4] **viXra:1405.0131 [pdf]**
*submitted on 2014-05-08 01:38:22*

**Authors:** Kishan Sharma

**Comments:** 13 Pages.

In this paper, the author defines the Aleph function of two variables, which is a
generalization of the I-function of two variables due to Sharma et al.[9]. In this regard the
integral representation and applications of new function has been discussed. Similar results
obtained by other authors follows as special cases of our findings.

**Category:** General Mathematics

[3] **viXra:1405.0130 [pdf]**
*submitted on 2014-05-08 01:39:15*

**Authors:** Abdelkarim Boua, Lahcen Oukhtite, Abderrahmane Raji, Omar Ait Zemzami

**Comments:** 10 Pages.

The purpose of this paper is to indicate the importance of using the
planar near-rings in the construction of the Balanced Incomplete Block Designs
(BIBD) of high efficiency, and how the latter can be used for constructing and
developing error correcting codes. Consequently, an algorithm of a program to
calculate the incidence matrix and the error correcting codes from a planar near-ring
will be drawn.

**Category:** General Mathematics

[2] **viXra:1405.0093 [pdf]**
*submitted on 2014-05-07 04:54:26*

**Authors:** S.C.Swain, Srikanta Mahapatra, Sidhartha Panda

**Comments:** 11 Pages.

Power-system stability improvement by a static synchronous series compensator (SSSC)-based controller is studied in this paper. Conventionally, the lead-lag structure was used to modulate the injected voltage. But, in this paper, PID controller is also considered. The design problem of the proposed controller is formulated as an optimization problem and Differential Evolution Algorithm is used to find out the optimal controller parameters. Different disturbances are applied to the single-machine infinite bus system. Only remote signals with required time delays are taken into account in this paper. The simulation results are presented and the two structures are compared under various loading conditions and disturbances to find out the better structure.

**Category:** General Mathematics

[1] **viXra:1405.0013 [pdf]**
*submitted on 2014-05-02 10:29:14*

**Authors:** Marouane Rhafli

**Comments:** 8 Pages.

This study presents an improvement to the secant method by reconstruction,in numerical analysis,the secant method is a root finding algorithm that uses a succession of roots of secant lines to better approximate a root of function F.secant method which its convergence is superlinear is used in combination with bissection and inverse quadratic interpolation in Bren't and Zhang' method wich are one of the most powerful root finding algorithms.the new method presented in this study presents so much advantages in root finding algorithms for non-linear equations,compared to the secant method,this new method uses secant lines from 2 circles in each iteration,it the requires only one initial guess and its convergence is quadratic,this new method could replace the secant method in Brent's and Zhang's method to make the algorithm more quick and more efficient,some experimental tests presented in this study compares the performances of this new method to the secant method.

**Category:** General Mathematics