eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2010-01-01
7
1
1
10
515313
مقاله های تحقیقی
The behavior of homological dimensions
The behavior of homological dimensions
M. Ansari
ansari.moh@gmail
1
E. Hosseini
esmaeilmath@gmail.com
2
Department of Mathematics, Islamic Azad University, Gachsaran branch, Gachsaran, Iran.
Department of Mathematics, Islamic Azad University, Gachsaran branch, Gachsaran, Iran.
Let R be a commutative noetherian ring. We study the behavior of injectiveand at dimension of R-modules under the functors HomR(-,-) and -×R-.
Let R be a commutative noetherian ring. We study the behavior of injectiveand at dimension of R-modules under the functors HomR(-,-) and -×R-.
http://msj.iau-arak.ac.ir/article_515313_09bca7e37624a1c0d64013f3852efa07.pdf
Injective cogenerator
Injective dimension
Flat dimension
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2010-01-01
7
1
11
19
515378
مقاله های تحقیقی
Some Results for CAT(0) Spaces
Some Results for CAT(0) Spaces
M. Asadi
masadi@azu.ac.ir
1
S.M. Vaezpour
2
M. Soleymani
3
Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran.
Department of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran.
Department of Mathematics, Malayer Branch, Islamic Azad University, Malayer, Iran.
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.
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.
http://msj.iau-arak.ac.ir/article_515378_78a4a9250206fef8e3dc4b1472040caf.pdf
CAT(0) space
Hyperbolic space
fixed point
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2010-01-01
7
1
21
62
515379
مقاله های تحقیقی
Modeling, simulation and analysis of a multi degree of freedom aircraft wing model
Modeling, simulation and analysis of a multi degree of
freedom aircraft wing model
Xueguang Bia
yucheng.liu@louisiana.edu
1
Yucheng Liu
2
Stanley Security Solutions, Inc., Shenzhen, Guangdong 518108, China
Department of Mechanical Engineering, University of Louisiana, Lafayette, LA 70504, USA
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.
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.
http://msj.iau-arak.ac.ir/article_515379_93d3ea2be772e393cc90a82936584ca0.pdf
Freedom system
Force Determination Methods
Aircraft wing
model
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2010-01-01
7
1
63
67
515380
مقاله های تحقیقی
Random fixed point of Meir-Keeler contraction mappings and its application
Random xed point of Meir-Keeler contraction
mappings and its application
H. Dibachi
h-dibachi@iau-arak.ac.ir
1
Department of Mathematics, Islamic Azad University, Arak-Branch, Arak, Iran.
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.
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.
http://msj.iau-arak.ac.ir/article_515380_36e8d67d573cff6a5a2ff90081531049.pdf
Random fixed point
Meir-Keeler contraction
measurable space
L-function
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2010-01-01
7
1
69
77
515381
مقاله های تحقیقی
Numerical solution of seven-order Sawada-Kotara equations by homotopy perturbation method
Numerical solution of seven-order Sawada-Kotara
equations by homotopy perturbation method
M. Ghasemi
meh_ghasemi@yahoo.com
1
A. Azizi
aramazizi@yahoo.com
2
M. Fardi
3
Department of Applied Mathematics, Faculty of Science, Shahrekord University, Shahrekord, P. O. Box 115, Iran.
Department of Mathematics, Sanandaj Branch, Islamic Azad University, Sanandaj, Iran.
Department of Mathematics, Islamic Azad University, Boroujen Branch, Boroujen, Iran.
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.
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.
http://msj.iau-arak.ac.ir/article_515381_e0eb49c1bea417d5dc7fe7bd3bf3bbdf.pdf
Homotopy perturbation method
The seventh-order Sawada-Kotera equa-
tion
seventh-order KdV equation
Solitary-wave solution
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2010-01-01
7
1
79
87
515382
مقاله های تحقیقی
A comment on “Supply chain DEA: production possibility set and performance evaluation model
A comment on “Supply chain DEA: production
possibility set and performance evaluation model
G.R. Jahanshahloo
1
M. Rostamy-Malkhalifeh
2
S. Izadi-Boroumand
s_izadi1363@yahoo.com
3
Department of Mathematics, science and Research Branch, Islamic Azad University,Tehran 14515-775, Iran
Department of Mathematics, science and Research Branch, Islamic Azad University,Tehran 14515-775, Iran
Department of Mathematics, science and Research Branch, Islamic Azad University,Tehran 14515-775, Iran
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.
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.
http://msj.iau-arak.ac.ir/article_515382_cf792bd513a02cc31cb51cdc7fb20736.pdf
Supply Chain
Dea model
performance evaluation model
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2010-01-01
7
1
89
95
515383
مقاله های تحقیقی
Approximating xed points of generalized non-expansive non-self mappings in CAT(0) spaces
Approximating xed points of generalized
non-expansive non-self mappings in CAT(0) spaces
Saeed Saeed Shabani
shabani60@gmail.com
1
S. J. Hoseini Ghoncheh
sjhghoncheh@gmail.com
2
Department of Mathematics, Izeh Branch, Islamic Azad University, Izeh, Iran.
Department of Mathematics, Takestan Branch, Islamic Azad University, Takestan, Iran.
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.
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.
http://msj.iau-arak.ac.ir/article_515383_ba0bd270f6b414df6b34d0d79201f95e.pdf
CAT(0) spaces
fixed point
generalized non-expansive non-self mappings
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2010-01-01
7
1
97
105
515384
مقاله های تحقیقی
Numerical solution of nonlinear integral equations by Galerkin methods with hybrid Legendre and Block-Pulse functions
Numerical solution of nonlinear integral equations
by Galerkin methods with hybrid Legendre and
Block-Pulse functions
M. Tavassoli Kajani
mtavassoli@khuisf.ac.ir
1
S. Mahdavi
2
Department of Mathematics, Islamic Azad University, , Khorasgan Branch, Isfahan, Iran.
Department of Mathematics, Islamic Azad University, , Khorasgan Branch, Isfahan, Iran.
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.
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.
http://msj.iau-arak.ac.ir/article_515384_a73b5676a00517a20d70e0cdfca872ad.pdf
Legendre wavelets
Block pulse functions
Fredholm integral equations
Operational matrix
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2010-01-01
7
1
107
117
515385
مقاله های تحقیقی
Artinianess of Graded Generalized Local Cohomology Modules
Artinianess of Graded Generalized Local
Cohomology Modules
Sh. Tahamtan
taham_sh@yahoo.com
1
Department of Mathematics, Islamic Azad University, Borujerd-Branch, Borujerd, iran.
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.
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.
http://msj.iau-arak.ac.ir/article_515385_ae134bbadf38a780a588e93ce57b0213.pdf
Artinian module
Generalized local cohomology module
Minimax module