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A dynamic system approach for solving nonlinear programming problems with exact penalty function
(Vilnius Gediminas Technical Univ Press, 2008)The Dynamic system has attracted increasing attention in recent years. In this paper, a dynamic system approach for solving Nonlinear Programming (NLP) problems with inequality constrained is presented. First, the system ... 
On spherical product surfaces in E3
(2009)In the present study we consider spherical product surfaces X = α⊗β of two 2D curves in E3. We prove that if a spherical product surface patch X = α⊗β has vanishing Gaussian curvature K (i.e. a flat surface) then either α ... 
Primes in z[exp(2 pi i/3)]
(Amer Inst Physics, 2010)In this paper, we study the primes in the ring Z[w], where w = exp(2 pi i/3) is a cubic root of unity. We gave a classification of them and some results related to the use of them in the calculation of cubic residues are obtained. 
Rewriting as a special case of noncommutative grobner bases theory for the affine weyl group ((a)over tilde(n))
(Birkhauser Boston, 2010)The aim of this work is to find GrobnerShirshov bases of the affine Weyl group of type (A(n)) over tilde (n >= 2) from the point of complete rewriting systems. 
On the norms of toeplitz and hankel matrices with pell numbers
(Amer Inst Physics, 2010)Let us define A = [a(ij)](i,j=0)(n1) and B = [b(ij)](i,j=0)(n1) as n x n Toeplitz and Hankel matrices, respectively, such that a(ij) = Pij and b(ij) = Pi+j, where P denotes the Pell number. We present upper and lower ... 
Generalization for estrada index
(Amer Inst Physics, 2010)In this paper the Estrada index of Hermite matrix is firstly defined and investigated. In fact this is a natural generalization of Estrada, distance Estrada and Laplacian Estrada indices. Thus all properties about them can ... 
A new example of deficiency one groups
(Amer Inst Physics, 2010)The main purpose of this paper is to present a new example of deficiency one groups by considering the split extension of a finite cyclic group by a free abelian group having rank two. 
On the efficiency of semidirect products of finite cyclic monoids by onerelator monoids
(Amer Inst Physics, 2010)In this paper we give necessary and sufficient conditions for the efficiency of a standard presentation for the semidirect product of finite cyclic monoids by onerelator monoids. 
Determination of genus of normal subgroups of discrete groups
(Amer Inst Physics, 2010)In this work, subgroups of a special class of discrete subgroups of PLS(2, R), namely the ones of the first kind with genus 0, have been studied. We establish a technique to compute the genus of these subgroups in terms ... 
The efficiency of the semidirect products of free abelian monoid with rank n by the ınfinite cyclic monoid
(Amer Inst Physics, 2011)In this paper we give necessary and sufficient conditions for the efficiency of the semidirect product of free abelian monoid with rank n by the infinite cyclic monoid. 
Conjugacy for free groups under split extensions
(Amer Inst Physics, 2011)At the present paper we show that conjugacy is preserved and reflected by the natural homomorphism defined from a semigroup S to a group G, where G defines split extensions of some free groups. The main idea in the proofs ... 
The minimal polynomials of 2cos(pi/2k) over the rationals
(Amer Inst Physics, 2011)The number lambda(q) = 2cos pi/q, q is an element of N, q >= 3, appears in the study of Hecke groups which are Fuchsian groups of the first kind, and in the study of regular polyhedra. Here we obtained the minimal polynomial ... 
Timefractional boundary optimal control of thermal stresses
(2012)In this paper, a temperature field described by a fractional heat subconduction equation with a boundary temperature control is considered. The foundation of an optimal boundary control to take the thermal stress under ... 
Tuning of fractional order PI λ D μ controller with response surface methodology
(2012)This paper presents response surface methodology for tuning of fractional order PI λ D μ controller of a fractional order diffusion system subject to input hysteresis which is defined with RiemannLiouville fractional ... 
Approximation properties of some summation methods in the Smirnov classes with variable exponent
(Amer Inst Physics, 2016)Let G subset of C be a finite simple connected domain with a rectifiable Dinismooth boundary Gamma. In this work, the approximation properties of the De Vallee Poussin and Jackson means in the variable exponent Smirnov ... 
Conformable fractional wavelike equation on a radial symmetric plate
(Springer Verlag, 2017)The generalization of physical processes by using local or nonlocal fractional operators has been an attractive research topic over the last decade. Fractionalization of integer order models gives quite reality to mathematical ... 
Some fixedcircle theorems and discontinuity at fixed circle
(Amer Inst Physics, 2018)In this study, we give some existence and uniqueness theorems for fixed circles of selfmappings on a metric space with some illustrative examples. Recently, realvalued neural networks with discontinuous activation functions ... 
New numerical techniques for solving fractional partial differential equations in conformable sense
(Springer, 2019)This study adresses two new numerical techniques for solving some interesting onedimensional timefractional partial differential equations (PDEs). We have introduced modified homotopy perturbation method in conformable ... 
Neutrosophic soft semiregularization topologies andneutrosophic soft submaximal spaces
(Amer Inst Physics, 2019)In this study, we aim to investigate the neutrosophic soft semiregularization spaces associated with neutrosophic soft topological spaces. We introduce the concept of neutrosophic soft submaximal spaces and prove that ... 
Sequential definitions of fuzzy continuity in fuzzy spaces
(Amer Inst Physics, 2019)Cakalli extended the concept of Gsequential compactness to a fuzzy topological group and introduced the notion of Gfuzzy sequential compactness, where G is a function from a suitable subset of the set of all sequences ...