The behavior of homological dimensions
M.
Ansari
Department of Mathematics, Islamic Azad University, Gachsaran branch, Gachsaran, Iran.
author
E.
Hosseini
Department of Mathematics, Islamic Azad University, Gachsaran branch, Gachsaran, Iran.
author
text
article
2010
eng
Let R be a commutative noetherian ring. We study the behavior of injectiveand at dimension of R-modules under the functors HomR(-,-) and -×R-.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
7
v.
1
no.
2010
1
10
http://msj.iau-arak.ac.ir/article_515313_09bca7e37624a1c0d64013f3852efa07.pdf
Some Results for CAT(0) Spaces
M.
Asadi
Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran.
author
S.M.
Vaezpour
Department of Mathematics and Computer Science, Amirkabir University of Technology, Tehran,
Iran.
author
M.
Soleymani
Department of Mathematics, Malayer Branch, Islamic Azad University, Malayer, Iran.
author
text
article
2010
eng
We shall generalize the concept of z = (1-t)+ty to n times which containsto verify some their properties and inequalities in CAT(0) spaces. In the sequelwith introducing of -nonexpansive mappings, we obtain some xed points andapproximate fixed points theorems.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
7
v.
1
no.
2010
11
19
http://msj.iau-arak.ac.ir/article_515378_78a4a9250206fef8e3dc4b1472040caf.pdf
Modeling, simulation and analysis of a multi degree of freedom aircraft wing model
Xueguang
Bia
Stanley Security Solutions, Inc., Shenzhen, Guangdong 518108, China
author
Yucheng
Liu
Department of Mechanical Engineering, University of Louisiana, Lafayette, LA 70504, USA
author
text
article
2010
eng
This paper presented methods to determine the aerodynamic forces that acton an aircraft wing during flight. These methods are initially proposed for asimplified two degree-of-freedoms airfoil model and then are extensivelyapplied for a multi-degree-of-freedom airfoil system. Different airspeedconditions are considered in establishing such methods. The accuracy of thepresented methods is verified by comparing the estimated aerodynamic forceswith the actual values. A good agreement is achieved through the comparisonsand it is verified that the present methods can be used to correctly identify theaerodynamic forces acting on the aircraft wing models.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
7
v.
1
no.
2010
21
62
http://msj.iau-arak.ac.ir/article_515379_93d3ea2be772e393cc90a82936584ca0.pdf
Random fixed point of Meir-Keeler contraction mappings and its application
H.
Dibachi
Department of Mathematics, Islamic Azad University, Arak-Branch, Arak, Iran.
author
text
article
2010
eng
In this paper we introduce a generalization of Meir-Keeler contraction forrandom mapping T : Ω×C → C, where C be a nonempty subset of a Banachspace X and (Ω,Σ) be a measurable space with being a sigma-algebra of sub-sets of. Also, we apply such type of random fixed point results to prove theexistence and unicity of a solution for an special random integral equation.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
7
v.
1
no.
2010
63
67
http://msj.iau-arak.ac.ir/article_515380_36e8d67d573cff6a5a2ff90081531049.pdf
Numerical solution of seven-order Sawada-Kotara equations by homotopy perturbation method
M.
Ghasemi
Department of Applied Mathematics, Faculty of Science, Shahrekord University, Shahrekord, P. O.
Box 115, Iran.
author
A.
Azizi
Department of Mathematics, Sanandaj Branch, Islamic Azad University, Sanandaj, Iran.
author
M.
Fardi
Department of Mathematics, Islamic Azad University, Boroujen Branch, Boroujen, Iran.
author
text
article
2010
eng
In this paper, an application of homotopy perturbation method is appliedto nding the solutions of the seven-order Sawada-Kotera (sSK) and a Lax'sseven-order KdV (LsKdV) equations. Then obtain the exact solitary-wave so-lutions and numerical solutions of the sSK and LsKdV equations for the initialconditions. The numerical solutions are compared with the known analyticalsolutions. Their remarkable accuracy are nally demonstrated for the bothseven-order equations.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
7
v.
1
no.
2010
69
77
http://msj.iau-arak.ac.ir/article_515381_e0eb49c1bea417d5dc7fe7bd3bf3bbdf.pdf
A comment on “Supply chain DEA: production possibility set and performance evaluation model
G.R.
Jahanshahloo
Department of Mathematics, science and Research Branch, Islamic Azad
University,Tehran 14515-775, Iran
author
M.
Rostamy-Malkhalifeh
Department of Mathematics, science and Research Branch, Islamic Azad
University,Tehran 14515-775, Iran
author
S.
Izadi-Boroumand
Department of Mathematics, science and Research Branch, Islamic Azad
University,Tehran 14515-775, Iran
author
text
article
2010
eng
In a recent paper in this journal, Yang et al. [Feng Yang, Dexiang Wu,Liang Liang, Gongbing Bi & Desheng Dash Wu (2009), supply chainDEA:production possibility set and performance evaluation model] definedtwo types of supply chain production possibility set which were proved to beequivalent to each other. They also proposed a new model for evaluatingsupply chains. There are, however, some shortcomings in their paper. In thecurrent paper, we correct the model, the theorems, and their proofs.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
7
v.
1
no.
2010
79
87
http://msj.iau-arak.ac.ir/article_515382_cf792bd513a02cc31cb51cdc7fb20736.pdf
Approximating xed points of generalized non-expansive non-self mappings in CAT(0) spaces
Saeed
Saeed Shabani
Department of Mathematics, Izeh Branch, Islamic Azad University, Izeh, Iran.
author
S. J.
Hoseini Ghoncheh
Department of Mathematics, Takestan Branch, Islamic Azad University, Takestan, Iran.
author
text
article
2010
eng
Suppose K is a nonempty closed convex subset of a complete CAT(0) spaceX with the nearest point projection P from X onto K. Let T : K → X be anonself mapping, satisfying condition (C) with F(T) :={ x ε K : Tx = x}≠Φ.Suppose fxng is generated iteratively by x1ε K, xn+1 = P((1-αn)xn+αnTP[(1-αn)xn+βnTxn]),n≥1, where {αn }and {βn } are real sequences in[ε,1-ε] for some ε in (0,1). Then {xn} is Δ-convergence to some point x* inF(T). This work extends a result of Laowang and Panyanak [5] to the case ofgeneralized nonexpansive nonself mappings.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
7
v.
1
no.
2010
89
95
http://msj.iau-arak.ac.ir/article_515383_ba0bd270f6b414df6b34d0d79201f95e.pdf
Numerical solution of nonlinear integral equations by Galerkin methods with hybrid Legendre and Block-Pulse functions
M.
Tavassoli Kajani
Department of Mathematics, Islamic Azad University, , Khorasgan Branch, Isfahan, Iran.
author
S.
Mahdavi
Department of Mathematics, Islamic Azad University, , Khorasgan Branch, Isfahan, Iran.
author
text
article
2010
eng
In this paper, we use a combination of Legendre and Block-Pulse functionson the interval [0; 1] to solve the nonlinear integral equation of the second kind.The nonlinear part of the integral equation is approximated by Hybrid Legen-dre Block-Pulse functions, and the nonlinear integral equation is reduced to asystem of nonlinear equations. We give some numerical examples. To showapplicability of the proposed method.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
7
v.
1
no.
2010
97
105
http://msj.iau-arak.ac.ir/article_515384_a73b5676a00517a20d70e0cdfca872ad.pdf
Artinianess of Graded Generalized Local Cohomology Modules
Sh.
Tahamtan
Department of Mathematics, Islamic Azad University, Borujerd-Branch, Borujerd, iran.
author
text
article
2010
eng
Let R = L n2N0Rn be a Noetherian homogeneous graded ring with local basering (R0;m0) of dimension d . Let R+ = Ln2NRn denote the irrelevant idealof R and let M and N be two nitely generated graded R-modules. Lett = tR+(M;N) be the rst integer i such that HiR+(M;N) is not minimax.We prove that if i t, then the set AssR0 (HiR+(M;N)n) is asymptoticallystable for n ! 1 and Hjm0 (HiR+(M;N)) is Artinian for 0 j 1. More-over, let s = sR+(M;N) be the largest integer i such that HiR+(M;N) is notminimax. For each i s, we prove that R0m0R0HiR+(M;N) is Artinian andthat Hjm0 (HiR+(M;N)) is Artinian for d 1 j d. Finally we show thatHd2m0 (HsR+(M;N)) is Artinian if and only if Hdm0 (Hs1R+(M;N)) is Artinian.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
7
v.
1
no.
2010
107
117
http://msj.iau-arak.ac.ir/article_515385_ae134bbadf38a780a588e93ce57b0213.pdf