eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2010-01-01
6
2
1
6
515387
مقاله های تحقیقی
On The Perimeter of an Ellipse
On The Perimeter of an Ellipse
A. Ansari
ansari.moh@gmail.com
1
Department of Mathematics, Islamic Azad University, Gachsaran-Branch, Gachsaran, Iran.
Let E be the ellipse with major and minor radii a and b respectively, and Pbe its perimeter, then
P = lim 4 tan(p/n)(a + b + 2) Σ a2 cos2 (2k-2)Pi/n+ sin2 (2k-2)Pi/n;
where n = 2m. So without considering the limit, it gives a reasonable approxi-mation for P, it means that we can choose n large enough such that the amountof error be less than any given small number. On the other hand, the formulasatises both limit status b→a and b→0 which give respectively P = 2a andP = 4a.
Let E be the ellipse with major and minor radii a and b respectively, and Pbe its perimeter, then
P = lim 4 tan(p/n)(a + b + 2) Σ a2 cos2 (2k-2)Pi/n+ sin2 (2k-2)Pi/n;
where n = 2m. So without considering the limit, it gives a reasonable approxi-mation for P, it means that we can choose n large enough such that the amountof error be less than any given small number. On the other hand, the formulasatises both limit status b→a and b→0 which give respectively P = 2a andP = 4a.
http://msj.iau-arak.ac.ir/article_515387_c42c9a9c1d7fee53576915b34e9022d1.pdf
Ellipse
Perimeter
Surrounding polygon
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2010-01-01
6
2
7
21
515578
مقاله های تحقیقی
Redened (anti) fuzzy BM-algebras
Redened (anti) fuzzy BM-algebras
A. Borumand-Saeid
arsham@mail.uk.ac.ir
1
Department of Mathematics, Islamic Azad University, Kerman Branch, Kerman, Iran.
In this paper by using the notiαon of anti fuzzy points and its besideness to andnon-quasi-coincidence with a fuzzy set the concepts of an anti fuzzy subalgebrasin BM-algebras are generalized and their inter-relations and related propertiesare investigated.
In this paper by using the notiαon of anti fuzzy points and its besideness to andnon-quasi-coincidence with a fuzzy set the concepts of an anti fuzzy subalgebrasin BM-algebras are generalized and their inter-relations and related propertiesare investigated.
http://msj.iau-arak.ac.ir/article_515578_cccce2ca9ff658b7b93bfef7a13fc0e9.pdf
non-quasi coincident
(α
β)*-fuzzy sub-algebra
BM-algebras
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2010-01-01
6
2
23
28
515579
مقاله های تحقیقی
BMO Space and its relation with wavelet theory
BMO Space and its relation with wavelet theory
M. Ghanbari
m.ghanbari@iau-farahan.ac.ir
1
Department of Mathematics, Islamic Azad University, Farahan-Branch, Farahan, Iran.
The aim of this paper is a) if Σak2 < ∞ then Σak rk(x) is in BMO that{rk(x)} is Rademacher system. b) P1k=1 ak!nk (x) 2 BMO; 2k nk < 2k+1that f!n(x)g is Walsh system. c) If jakj < 1k then P1k=1 ak!k(x) 2 BMO.
The aim of this paper is a) if Σak2 < ∞ then Σak rk(x) is in BMO that{rk(x)} is Rademacher system. b) P1k=1 ak!nk (x) 2 BMO; 2k nk < 2k+1that f!n(x)g is Walsh system. c) If jakj < 1k then P1k=1 ak!k(x) 2 BMO.
http://msj.iau-arak.ac.ir/article_515579_fdc4230f4e4bf8d6ac2e1c183ec3256f.pdf
BMO space
wavelets
Orthonormal system
Rademacher system
Walsh
system
Haar system
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2010-01-01
6
2
29
37
515580
مقاله های تحقیقی
Influence of using the strategy of concept maps in learning fractions
Influence of using the strategy of concept maps in
learning fractions
M. Haghverdi
m-haghverdi@iau-arak.ac.ir
1
Department of Mathematics, Islamic Azad University, Arak-Branch, Arak, Iran.
This paper is about concept maps and how they can assist in the learning ofconcepts of mathematics. First the paper presents the theoretical backgroundand working denitions for concept maps. Then this study examines the impactof using concept maps in learning of fractions. Results of this study indicatedthat using this strategy was eective in learning of fractions for fourth-gradestudents. This result conrms the eectiveness of the strategy of concept mapsin teaching because it includes activities that link the concepts to help studentsunderstand new concepts and link them to previous ones.
This paper is about concept maps and how they can assist in the learning ofconcepts of mathematics. First the paper presents the theoretical backgroundand working denitions for concept maps. Then this study examines the impactof using concept maps in learning of fractions. Results of this study indicatedthat using this strategy was eective in learning of fractions for fourth-gradestudents. This result conrms the eectiveness of the strategy of concept mapsin teaching because it includes activities that link the concepts to help studentsunderstand new concepts and link them to previous ones.
http://msj.iau-arak.ac.ir/article_515580_0476ca27afa98b0245d69427757ea874.pdf
Concept maps
Fraction
Learning
Mathematics Education
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2010-01-01
6
2
39
44
515581
مقاله های تحقیقی
Hybrid model in network DEA
Hybrid model in network DEA
A. Jahanshahloo
1
Department of Mathematics, Islamic Azad University, Science and Research Branch, Tehran, Iran.
Traditional DEA models deal with measurements of relative eciency ofDMUs regarding multiple - inputs VS. multiple-outputs. One of the drawbacksof these model is the neglect of intermediate products or linkong activities. Af-ter pointing out needs for inclusion of them to DEA models. We propose hybridmodel that can deal with intermediate products formally using this model wecan evaluate divisional eciency of decision making units (DMU) and we showthis model with an example.
Traditional DEA models deal with measurements of relative eciency ofDMUs regarding multiple - inputs VS. multiple-outputs. One of the drawbacksof these model is the neglect of intermediate products or linkong activities. Af-ter pointing out needs for inclusion of them to DEA models. We propose hybridmodel that can deal with intermediate products formally using this model wecan evaluate divisional eciency of decision making units (DMU) and we showthis model with an example.
http://msj.iau-arak.ac.ir/article_515581_05b6570ea3cd19ac8d6e902dd67f0a5d.pdf
DEA
Network DEA
hybrid model
Divisional efficiency
Overal efficiency
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2010-01-01
6
2
45
60
515582
مقاله های تحقیقی
Input congestion, technical ineciency and output reduction in fuzzy data envelopment analysis
Input congestion, technical ineciency and output
reduction in fuzzy data envelopment analysis
M. khodabakhshi
mkhbakhshi@yahoo.com
1
N. Aryavash
k.aryavash@yahoo.com
2
Department of Mathematics, Faculty of Science, Lorestan University, Khorram Abad, Iran.
Department of Mathematics, Faculty of Science, Lorestan University, Khorram Abad, Iran.
During the last years, the concept of input congestion and technical ineff-ciency in data envelopment analysis (DEA), have been investigated by manyresearchers. The motivation of this paper is to present models which obtain thedecreased output value due to input congestion and technical ineciency. More-over, we extend the models to estimate input congestion, technical ineciencyand output reduction in fuzzy data envelopment analysis, by using the conceptof α-cut sets.
During the last years, the concept of input congestion and technical ineff-ciency in data envelopment analysis (DEA), have been investigated by manyresearchers. The motivation of this paper is to present models which obtain thedecreased output value due to input congestion and technical ineciency. More-over, we extend the models to estimate input congestion, technical ineciencyand output reduction in fuzzy data envelopment analysis, by using the conceptof α-cut sets.
http://msj.iau-arak.ac.ir/article_515582_603de28b25425e998524b07716bf5d0a.pdf
Fuzzy DEA
Congestion
Output reduction
Technical inefficiency
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2010-01-01
6
2
61
72
515583
مقاله های تحقیقی
Some notes concerning the convergence control parameter in homotopy analysis method
Some notes concerning the convergence control
parameter in homotopy analysis method
M. Paripour
m paripour@yahoo.com
1
J. Saeidian
2
Department of Mathematics, Islamic Azad University, Hamedan Branch , Hamedan, 6518118413, Iran.
Department of Mathematics and Computer Science, Tarbiat Moallem University, 599 Taleghani avenue, Tehran 1561836314, Iran.
omotopy analysis method (HAM) is a promising method for handling func-tional equations. Recent publications proved the eectiveness of HAM in solvingwide variety of problems in dierent elds. HAM has a unique property whichmakes it superior to other analytic methods, this property is its ability to con-trol the convergence region of the solution series. In this work, we claried theadvantages and eects of convergence-control parameter through an example.
omotopy analysis method (HAM) is a promising method for handling func-tional equations. Recent publications proved the eectiveness of HAM in solvingwide variety of problems in dierent elds. HAM has a unique property whichmakes it superior to other analytic methods, this property is its ability to con-trol the convergence region of the solution series. In this work, we claried theadvantages and eects of convergence-control parameter through an example.
http://msj.iau-arak.ac.ir/article_515583_85cc326aea21d955d3d20c6723380d88.pdf
Homotopy analysis method
Convergence-control parameter
Zeroth order deformation equation
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2010-01-01
6
2
73
81
515584
مقاله های تحقیقی
A numerical solution of Nagumo telegraph equation by Adomian decomposition method
A numerical solution of Nagumo telegraph equation
by Adomian decomposition method
H. Rouhparvar
rouhparvar59@gmail.com
1
Department of Mathematics, Islamic Azad University, Saveh-Branch, Saveh 39187/366, Iran.
In this work, the solution of a boundary value problem is discussed via asemi analytical method. The purpose of the present paper is to inspect theapplication of the Adomian decomposition method for solving the Nagumo tele-graph equation. The numerical solution is obtained for some special cases sothat demonstrate the validity of method.
In this work, the solution of a boundary value problem is discussed via asemi analytical method. The purpose of the present paper is to inspect theapplication of the Adomian decomposition method for solving the Nagumo tele-graph equation. The numerical solution is obtained for some special cases sothat demonstrate the validity of method.
http://msj.iau-arak.ac.ir/article_515584_c55ffcedb0765761611f091dbcfe5f4f.pdf
Nagumo telegraph equation
Adomian decomposition method
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2010-01-01
6
2
83
91
515585
مقاله های تحقیقی
On the strong convergence theorems by the hybrid method for a family of mappings in uniformly convex Banach spaces
On the strong convergence theorems by the hybrid
method for a family of mappings in uniformly
convex Banach spaces
M. Salehi
msalehi76@yahoo.com
1
V. Dadashi
vahid.dadashi@iausari.ac.ir
2
M. Roohi
mehdi.roohi@gmail.com
3
Department of Mathematics, Islamic Azad University, Savadkooh Branch, Savadkooh, Iran.
Department of Mathematics, Islamic Azad University, Sari Branch, Sari, Iran.
Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, Babolsar, Iran.
Some algorithms for nding common xed point of a family of mappings isconstructed. Indeed, let C be a nonempty closed convex subset of a uniformlyconvex Banach space X whose norm is Gateaux dierentiable and let {Tn} bea family of self-mappings on C such that the set of all common fixed pointsof {Tn} is nonempty. We construct a sequence {xn} generated by the hybridmethod and also we give the conditions of {Tn} under which {xn} convergesstrongly to a common xed point of {Tn}.
Some algorithms for nding common xed point of a family of mappings isconstructed. Indeed, let C be a nonempty closed convex subset of a uniformlyconvex Banach space X whose norm is Gateaux dierentiable and let {Tn} bea family of self-mappings on C such that the set of all common fixed pointsof {Tn} is nonempty. We construct a sequence {xn} generated by the hybridmethod and also we give the conditions of {Tn} under which {xn} convergesstrongly to a common xed point of {Tn}.
http://msj.iau-arak.ac.ir/article_515585_a7229b983c534504b614af5cecef8fbb.pdf
Hybrid method
Common xed point
Iterative algorithm
Uniformly con-
vex Banach space