@article{ author = {Armandnejad, A. and Afshin, H. R.}, title = {Linear Functions Preserving Multivariate and Directional Majorization}, abstract ={Let V and W be two real vector spaces and let ;sim be a relation on both V and W. A linear function T : V → W is said to be a linear preserver (respectively strong linear preserver) of ;sim if Tx ;sim Ty whenever x ;sim y (respectively Tx ;sim Ty if and only if x ;sim y). In this paper we characterize all linear functions T : M_{n,m} → M_{n,k} which preserve or strongly preserve multivariate and directional majorization.}, Keywords = {Doubly Stochastic matrices, Directional majorization, Multivariate majorization, Linear preserver.}, volume = {5}, Number = {1}, pages = {1-5}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2010.01.001}, url = {http://ijmsi.ir/article-1-105-en.html}, eprint = {http://ijmsi.ir/article-1-105-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2010} } @article{ author = {AskariHemmat, A. and Rahbani, Z.}, title = {Clifford Wavelets and Clifford-valued MRAs}, abstract ={In this paper using the Clifford algebra over R4 and its matrix representation, we construct Clifford scaling functions and Clifford wavelets. Then we compute related mask functions and filters, which arise in many applications such as quantum mechanics.}, Keywords = {Clifford Wavelets, Clifford algebra, Multiresolution Analysis, Wavelets.}, volume = {5}, Number = {1}, pages = {7-18}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2010.01.002}, url = {http://ijmsi.ir/article-1-106-en.html}, eprint = {http://ijmsi.ir/article-1-106-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2010} } @article{ author = {Jahani-Nezhad, Rez}, title = {The Dual of a Strongly Prime Ideal}, abstract ={Let R be a commutative integral domain with quotient field K and let P be a nonzero strongly prime ideal of R. We give several characterizations of such ideals. It is shown that (P : P) is a valuation domain with the unique maximal ideal P. We also study when P^{;minus1} is a ring. In fact, it is proved that P^{;minus1} = (P : P) if and only if P is not invertible. Furthermore, if P is invertible, then R = (P : P) and P is a principal ideal of R.}, Keywords = {Strongly prime ideal, Divided ideal, Valuation domain.}, volume = {5}, Number = {1}, pages = {19-26}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2010.01.003}, url = {http://ijmsi.ir/article-1-107-en.html}, eprint = {http://ijmsi.ir/article-1-107-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2010} } @article{ author = {Bajravani, A. and Rastegar, A.}, title = {On the Smoothness of Functors}, abstract ={In this paper we will try to introduce a good smoothness notion for a functor. We consider properties and conditions from geometry and algebraic geometry which we expect a smooth functor should has.}, Keywords = {Abelian Category, First Order Deformations, Multicategory, Tangent Category, Topologizing Subcategory.}, volume = {5}, Number = {1}, pages = {27-39}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2010.01.004}, url = {http://ijmsi.ir/article-1-110-en.html}, eprint = {http://ijmsi.ir/article-1-110-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2010} } @article{ author = {Sarikaya, Mehmat Zeki and Saglam, Aziz and Yildirim, Huseyi}, title = {On Generalization of Cebysev Type Inequalities}, abstract ={In this paper, we establish new Cebysev type integral inequalities involving functions whose derivatives belong to L_{p} spaces via certain integral identities.}, Keywords = {Hölder\'s integral inequality, Cebysev type inequality, L_{p} spaces.}, volume = {5}, Number = {1}, pages = {41-48}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2010.01.005}, url = {http://ijmsi.ir/article-1-108-en.html}, eprint = {http://ijmsi.ir/article-1-108-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2010} } @article{ author = {Heydari, M. T.}, title = {C*-Algebra numerical range of quadratic elements}, abstract ={It is shown that the result of Tso-Wu on the elliptical shape of the numerical range of quadratic operators holds also for the C*-algebra numerical range.}, Keywords = {C*-algebra, Numerical range, Quadratic element, Faithful representation.}, volume = {5}, Number = {1}, pages = {49-53}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2010.01.006}, url = {http://ijmsi.ir/article-1-111-en.html}, eprint = {http://ijmsi.ir/article-1-111-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2010} } @article{ author = {Amini, Massou}, title = {Quantum Error-Correction Codes on Abelian Groups}, abstract ={We prove a general form of bit flip formula for the quantum Fourier transform on finite abelian groups and use it to encode some general CSS codes on these groups.}, Keywords = {Quantum error correction, Qunatum Fourier transform, Quantum channel.}, volume = {5}, Number = {1}, pages = {55-67}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2010.01.007}, url = {http://ijmsi.ir/article-1-104-en.html}, eprint = {http://ijmsi.ir/article-1-104-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2010} } @article{ author = {Abbasi, M. and Pourbarat, Kh.}, title = {The System of Vector Variational-like Inequalities with Weakly Relaxed ${eta_gamma-alpha_gamma}_{gamma inGamma}$ Pseudomonotone Mappings in Banach Spaces}, abstract ={In this paper, we introduce two concepts of weakly relaxed ${eta_gamma-alpha_gamma}_{gamma in Gamma}$ pseudomonotone and demipseudomonotone mappings in Banach spaces. Then we obtain some results of the solutions existence for a system of vector variational-like inequalities with weakly relaxed ${eta_gamma-alpha_gamma}_{gamma in Gamma}$ pseudomonotone and demipseudomonotone mappings in reflexive Banach spaces. Finally we show that our results improve and extend some corresponding results of Ref [6].}, Keywords = {Variational-like Inequality, Relaxed $eta-alpha$ Pseudomonotone, Relaxed $eta-alpha$ Demipseudomonotone, $eta$-hemicontinuous Mapping.}, volume = {5}, Number = {2}, pages = {1-11}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2010.02.001}, url = {http://ijmsi.ir/article-1-136-en.html}, eprint = {http://ijmsi.ir/article-1-136-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2010} } @article{ author = {Ghorbani, Shokoofeh}, title = {Quotient BCI-algebras induced by pseudo-valuations}, abstract ={In this paper, we study pseudo-valuations on a BCI-algebra and obtain some related results. The relation between pseudo-valuations and ideals is investigated. We use a pseudo-metric induced by a pseudovaluation to introduce a congruence relation on a BCI-algebra. We define the quotient algebra induced by this relation and prove that it is also a BCI-algebra and study its properties.}, Keywords = {algebra, pseudo-valuation, ideal, pseudo-metric, quotient algebra.}, volume = {5}, Number = {2}, pages = {13-24}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2010.02.002}, url = {http://ijmsi.ir/article-1-137-en.html}, eprint = {http://ijmsi.ir/article-1-137-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2010} } @article{ author = {Moradi, Sirous and Beiranvand, Arezoo}, title = {Fixed Point of $T_{F}$ − contractive Single-valued Mappings}, abstract ={In this paper, we study the existence of fixed points for mappings defined on complete metric space (X, d) satisfying a general contractive inequality depended on another function. This conditions is analogous of Banach conditions and general contraction condition of integral type.}, Keywords = {Fixed point, contraction mapping, contractive mapping, T_{F} −contractive mapping, graph closed, single-valued mapping.}, volume = {5}, Number = {2}, pages = {25-32}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2010.02.003}, url = {http://ijmsi.ir/article-1-138-en.html}, eprint = {http://ijmsi.ir/article-1-138-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2010} } @article{ author = {Iranmanesh, Anis and Arashi, M. and Tabatabaey, S. M. M.}, title = {On Conditional Applications of Matrix Variate Normal Distribution}, abstract ={In this paper, by conditioning on the matrix variate normal distribution (MVND) the construction of the matrix t-type family is considered, thus providing a new perspective of this family. Some important statistical characteristics are given. The presented t-type family is an extension to the work of Dickey [8]. A Bayes estimator for the column covariance matrix ;Sigma of MVND is derived under Kullback Leibler divergence loss (KLDL). Further an application of the proposed result is given in the Bayesian context of the multivariate linear model. It is illustrated that the Bayes estimators of coefficient matrix under both SEL and KLDL are identical.}, Keywords = {Bayes estimator, Characteristic function, Generalized matrix t-distribution, Kullback Leibler divergence loss, Matrix variate gamma distribution, Matrix variate normal distribution.}, volume = {5}, Number = {2}, pages = {33-43}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2010.02.004}, url = {http://ijmsi.ir/article-1-139-en.html}, eprint = {http://ijmsi.ir/article-1-139-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2010} } @article{ author = {Cheraghi, Abbas}, title = {On the Pixel Expansion of Hypergraph Access Structures in Visual Cryptography Schemes}, abstract ={In a visual cryptography scheme, a secret image is encoded into n shares, in the form of transparencies. The shares are then distributed to n participants. Qualified subsets of participants can recover the secret image by superimposing their transparencies, but non-qualified subsets of participants have no information about the secret image. Pixel expansion, which represents the number of subpixels in the encoding of the secret image, should be as small as possible. Optimal schemes are those that have the minimum pixel expansion. In this paper we study the pixel expansion of hypergraph access structures and introduce a number of upper bounds on the pixel expansion of special kinds of access structures. Also we demonstrate the minimum pixel expansion of induced matching hypergraph is sharp when every qualified subset is exactly one edge with odd size. Furthermore we explain that the minimum pixel expansion of every graph access structure $P_{n}$ is exactly $lceil frac{ n+1}{2}rceil$. It indicates the lower bound mentioned in [4] is sharp.}, Keywords = {visual cryptography, secret sharing scheme, hypergraph, basis matrices, pixel expansion.}, volume = {5}, Number = {2}, pages = {45-54}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2010.02.005}, url = {http://ijmsi.ir/article-1-140-en.html}, eprint = {http://ijmsi.ir/article-1-140-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2010} } @article{ author = {Alikhani, Saeid and Iranmanesh, Mohammad A.}, title = {Energy of Graphs, Matroids and Fibonacci Numbers}, abstract ={The energy E(G) of a graph G is the sum of the absolute values of the eigenvalues of G. In this article we consider the problem whether generalized Fibonacci constants $varphi_n$ $(ngeq 2)$ can be the energy of graphs. We show that $varphi_n$ cannot be the energy of graphs. Also we prove that all natural powers of $varphi_{2n}$ cannot be the energy of a matroid.}, Keywords = {Graph energy, Fibonacci numbers, Matroid.}, volume = {5}, Number = {2}, pages = {55-60}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2010.02.006}, url = {http://ijmsi.ir/article-1-141-en.html}, eprint = {http://ijmsi.ir/article-1-141-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2010} } @article{ author = {Doslic, Tomislav and Graovac, Ante and Cataldo, Franco and Ori, Ottorino}, title = {Notes on some Distance-Based Invariants for 2-Dimensional Square and Comb Lattices}, abstract ={We present explicit formulae for the eccentric connectivity index and Wiener index of 2-dimensional square and comb lattices with open ends. The formulae for these indices of 2-dimensional square lattices with ends closed at themselves are also derived. The index for closed ends case divided by the same index for open ends case in the limit N →;infin defines a novel quantity we call compression factor. This factor was calculated for both eccentric connectivity and Wiener index for 2- dimensional square lattice.}, Keywords = {eccentric connectivity index, Wiener index, comb lattice, compression factor.}, volume = {5}, Number = {2}, pages = {61-68}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2010.02.007}, url = {http://ijmsi.ir/article-1-142-en.html}, eprint = {http://ijmsi.ir/article-1-142-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2010} }