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2012
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The Relationship Between Students Cognitive Abilities, Mathematical Performance and the Level of Testosterone, Thyroid-stimulating Hormone, Prolactin and Thyroxine
The Relationship Between Students Cognitive Abilities, Mathematical Performance and the Level of Testosterone, Thyroid-stimulating Hormone, Prolactin and Thyroxine
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en
In this study researchers investigate the relationship between some specific hormones (Testosterone-Thyroid-Stimulating, Hormone-Prolactin-Thyroxine), cognitive abilities and mathematical performance. The results of this study offer a new way to conceptualize the relationship between various hormones and cognition literature for university students. According to the forty tests (twenty for males and twenty for females) performed in this survey six significant differences were found between low and high hormone groups, cognitive abilities and mathematical performance. As can be inferred from the results of this study, hormones in question have more effects on female students than male ones. Five significant differences found for female students, in contrast just one significant difference were found for male students concern to their cognitive abilities and mathematical performance.
1
16
Abbas
Amani
Seyed Hasan
Alamolhodaei
Farzad
Radmehr
Math performance
Cognitive ability
Testosterone
Thyroid-Stimulating Hormone
Prolactin.
Article.1.pdf
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]
On Bp-algebras and Qs-algebras
On Bp-algebras and Qs-algebras
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en
In this paper we prove that the class of QS-algebras, p-semi simple algebras and BP-algebras are
equivalent.
17
21
S. A. Nematoalah
Zadeh
A.
Radfar
A. Borumand
Saied
QS-algebra
BP-algebra
BCI-algebras.
Article.2.pdf
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S. S. Ahn, J. S. Han, On BP-algebras, Submitted, (), -
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]
Fixed Point and Hyers-ulam-rassias Stability of a Quadratic Functional Equation in Menger Probabilistic Normed Spaces
Fixed Point and Hyers-ulam-rassias Stability of a Quadratic Functional Equation in Menger Probabilistic Normed Spaces
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In this paper, using the fixed point alternative approach, we investigate the Hyers Ulam-Rassias stability of the quadratic functional equation \[f(x+y)+f(x-y)=2f(x)+2f(y)\] in Menger probabilistic normed spaces.
22
27
Ehsan
Movahednia
Sara
Eshtehar
fixed point theory
Hyers-Ulam-Rassias stability.
Article.3.pdf
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]
Reliability Estimation under the Fuzzy Environments
Reliability Estimation under the Fuzzy Environments
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This paper proposes new methods for fuzzy reliability estimation where lifetime random variables have a distribution function with fuzzy parameter. First, a fuzzy estimation is constructed for the parameter. Then, using such a fuzzy estimation, a fuzzy reliability estimation is constructed. In first method, we used Buckley method with precise observation. In secound one we uesd fuzzy point estimation with fuzzy observation. In third method, using a fuzzy estimation of mean time to failure (MTTF), we constructed a fuzzy confidence bound and a fuzzy confidence band for reliability function for a given \(t_0\) and for a given \(\alpha_0\) respectively. This method has been used in lifetime distributions as fuzzy normal distribution, fuzzy exponential distribution and fuzzy Weibull distribution.
28
39
Ezzatallah Baloui
Jamkhaneh
Fuzzy reliability function
Fuzzy estimation
Fuzzy confidence bound
Fuzzy confidence band.
Article.4.pdf
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Wu Hsien-Chung, Fuzzy reliability estimation using Bayesian approach, Computers & Industrial Engineering , 46 (2004), 467-493
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]
Application of Homotopy Perturbation Transform Method to Linear and Non-linear Space-time Fractional Reaction-diffusion Equations
Application of Homotopy Perturbation Transform Method to Linear and Non-linear Space-time Fractional Reaction-diffusion Equations
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en
In this paper, we obtain the analytical solutions of linear and non-linear space-time fractional reaction-diffusion equations on a finite domain by the application of homotopy perturbation transform method (HPTM). The HPTM is a combined form of the Laplace transform method with the homotopy perturbation method. Some examples are also given. Numerical results show that the HPTM is easy to implement and accurate when applied to linear and non-linear space-time fractional reaction-diffusion equations.
40
52
Jagdev
Singh
Devendra
Kumar
Sushila
Sumit
Gupta
Homotopy perturbation transform method
Laplace transform
fractional reaction-diffusion equation
Caputo time-fractional derivative
Caputo space-fractional derivative.
Article.5.pdf
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]
Reduced Differential Transform Method for Solving Seventh Order Sawadakotera Equations
Reduced Differential Transform Method for Solving Seventh Order Sawadakotera Equations
en
en
In this paper, reduced differential transform method (RDTM) is used to solve two different
seventh-order nonlinear partial differential KdV equations. Seventh-order Sawada–Kotera (for
short, sSK) and a Lax’s seventh-order KdV (for short, LsKdV) equations are well known and
considered for solve. reduced differential transform method can be used as an alternative to obtain
analytic and approximate solutions of different types of differential equations applied in
engineering mathematics. Ultimately this method is implemented to solve these equations so
convenient and effective solutions can be obtained.
53
59
A.
Haghbin
S.
Hesam
Sawada–Kotera Equations
Reduced differential transform method
Initial value problem.
Article.6.pdf
[
[1]
M. Bakhshi, Mohammad Asghari-Larimi, M. Asghari-Larimi, Three- Differential transform method for solving nonlinear three-dimensional volterra integral equatons, TJMCS, 4 (2012), 246-256
##[2]
S. M. El–Sayed, D. Kaya, An application of the ADM to seven order Sawada–Kotera equations, Appl. Math. Comput., 157 (2004), 93-101
##[3]
D. D. Ganji, N. Jamshidi, Z. Z. Ganji, Hpm and Vim Methods for Finding the Exact Solutions of the Nonlinear Dispersive Equations and Seventh-Order Sawada-Kotera Equation, International Journal of Modern Physics B. , 23 (2009), 39-52
##[4]
W. Hereman, P. P. Banerjee, A. Korpel, G. Assanto, A. Van Immerzeele, A. Meerpoel, Exact solitary wave solutions of nonlinear evolution and wave equations using a direct algebraic method , J. Phys. A. Math. Gen., 19 (1986), 607-628
##[5]
H. Jafari, A. Yazdani, J. Vahidi, D. D. Ganji, Application of He’s Variational Iteration Method for Solving Seventh Order Sawada-Kotera Equations, Appl. Math.Sci. , 2 (2008), 471-477
##[6]
Y. Keskin, G. Oturanc , Numerical simulations of systems of PDEs by reduced differential transform method, Communications in Nonlinear Science and Numerical Simulations, In Press ()
##[7]
Y. Keskin, G. Oturanc, Reduced Differential Transform Method for fractional partial differential equations, Nonlinear Science Letters A., 1(2) (2010), 61-72
##[8]
Y. Keskin, , Ph.D Thesis, Selcuk University, in Turkish (2010)
##[9]
Muhammad R. Mohyuddin, Muhammad A. Sadiq, A. M. Siddiqui, Differential Transformation Method and Variation Iteration Method for Cauchy Reaction-diffusion Problems, TJMCS , Vol .1 No.2 (2010), 90-101
##[10]
Mohamed I. A. Othman, A. M. S. Mahdy, Differential Transformation Method and Variation Iteration Method for Cauchy Reaction-diffusion Problems, TJMCS , Vol .1 No.2 (2010), 61-75
##[11]
E. J. Parkes, B. R. Duffy, An automated tanh-function method for finding solitary wave solutions to non–linear evolution equations, Comput. Phys. Commun., 96 (1996), 288-300
]
Application of Genetic Algorithm to Parameter Estimation in Liquid-liquid Phase Equilibrium Modeling
Application of Genetic Algorithm to Parameter Estimation in Liquid-liquid Phase Equilibrium Modeling
en
en
Parameter estimation problems for liquid–liquid equilibrium data modeling are challenging due to the nonlinearity of thermodynamic models. In this work, the stochastic global optimization technique, namely Genetic Algorithm is applied to calculate the interaction and non randomness parameters of NRTL model. Forty ternary extraction systems containing benzene, hexane and different ionic liquids as solvent at various temperatures reported in literature are selected. The parameters of NRTL model are calculated and the global rmsd value of 0.0076 for 357 tie-lines shows that these parameters can be considered as the global parameters of NRTL model in the studied ternary systems. The global parameters are applied in all systems and rmsd values for them are reported. The results showed that Genetic Algorithm as a powerful and effective tool can be used to optimize highly nonlinear problems in phase equilibrium modeling.
60
66
Mostafa
Vatani
Morteza
Asghari
Gholamreza
Vakili-nejhaad
Genetic Algorithm
Parameter Estimation
NRTL model
Liquid-Liquid Equilibrium.
Article.7.pdf
[
[1]
H. Zhang, D. Desfreed Kennedy, G. Pandu Rangaiah, A. Bonilla-Petriciolet, Novel bare-bones particle swarm optimization and its performance for modeling vapor–liquid equilibrium data, Fluid Phase Equilib, 301 (2011), 33-45
##[2]
J. C. Ferrari, G. Nagatani, F. C. Corazza, J. V. Oliveira, M. L. Corazza, Application of stochastic algorithms for parameter estimation in the liquid–liquid phase equilibrium modeling, Fluid Phase Equilib, 280 (2009), 110-119
##[3]
, Genetic Algorithm and Direct Search Toolbox Users Guide, Copyright by the Math Works, Inc., (2004–2006), -
##[4]
C. Preechakul, S. Kheawhom, Modified genetic algorithm with sampling techniques for chemical engineering optimization, J. Ind. Eng. Chem., 15 (2009), 110-118
##[5]
H. Renon, J. M. Prausnitz, Local compositions in thermodynamic excess functions for liquid mixtures, AIChE Journal, 14 (1968), 135-144
##[6]
M. Vatani, M. Asghari, G. Vakili-Nezhaad, Application of Genetic Algorithm to the calculation of parameters for NRTL and Two-Suffix Margules models in ternary extraction ionic liquid systems, J. Ind. Eng. Chem., 18 (2012), 1715-1720
##[7]
E. Gómez, I. Domínguez, N. Calvar, A. Domínguez, Separation of benzene from alkanes by solvent extraction with 1-ethylpyridinium ethylsulfate ionic liquid, J. Chem. Thermodyn., 42 (2010), 1234-1239
##[8]
E. J. González, N. Calvar, B. González, A. Domínguez, (Liquid + liquid) equilibria for ternary mixtures of (alkane + benzene + [EMpy][ESO4]) at several temperatures and atmospheric pressure, J. Chem. Thermodyn, 41 (2009), 1215-1221
##[9]
U. Domanska, A. Pobudkowska, M. Krolikowski, Separation of aromatic hydrocarbons from alkanes using ammonium ionic liquid C2NTf2 at T = 298.15K, Fluid Phase Equilib, 259 (2007), 173-179
##[10]
A. Arce, M. J. Earle, H. Rodrıguez, K. R. Seddon, Separation of Benzene and Hexane by Solvent Extraction with 1-Alkyl-3-methylimidazolium Bis{(trifluoromethyl)sulfonyl}amide Ionic Liquids: Effect of the Alkyl-Substituent Length, J. Phys. Chem. B, 111 (2007), 4732-4736
##[11]
A. Arce, M. J. Earle, H. Rodrıguez, K. R. Seddon, Separation of aromatic hydrocarbons from alkanes using the ionic liquid 1-ethyl-3-methylimidazolium bis{(trifluoromethyl) sulfonyl}amide, Green Chem., 9 (2007), 70-74
##[12]
E. J. Gonzalez, N. Calvar, E. Gomez, A. Domınguez, Separation of Benzene from Linear Alkanes (C6-C9) Using 1-Ethyl-3-Methylimidazolium Ethylsulfate at T = 298.15 K, J. Chem. Eng. Data, 55 (2010), 3422-3427
##[13]
J. García, A. Fernández, J. Torrecilla, M. Oliet, F. Rodríguez, Liquid–liquid equilibria for {hexane + benzene + 1-ethyl-3-methylimidazolium ethylsulfate} at (298.2, 313.2 and 328.2)K, Fluid Phase Equilib., 282 (2009), 117-120
##[14]
J. Garcıa, A. Fernandez, J. Torrecilla, M. Oliet, F. Rodrıguez, Ternary Liquid-Liquid Equilibria Measurement for Hexane and Benzene with the Ionic Liquid 1-Butyl-3-methylimidazolium Methylsulfate at T = (298.2, 313.2, and 328.2) K, J. Chem. Eng. Data, 55 (2010), 258-261
##[15]
M. A. Kareem, F. S. Mjalli, M. A. Hashim, I. M. AlNashef, Liquid–liquid equilibria for the ternary system (phosphonium based deep eutectic solvent–benzene–hexane) at different temperatures: A new solvent introduced , Fluid Phase Equilib., 314 (2012), 52-59
##[16]
A. R. Hansmeier, M. Jongmans, G. W. Meindersma, A. B. de Haan, LLE data for the ionic liquid 3-methyl-N-butyl pyridinium dicyanamide with several aromatic and aliphatic hydrocarbons, J. Chem. Thermodyn., 42 (2010), 484-490
##[17]
G. W. Meindersma, T. V. Acker, A. B. de Haan, Physical properties of 3-methyl-N-butylpyridinium tricyanomethanide and ternary LLE data with an aromatic and an aliphatic hydrocarbon at T = (303.2 and 328.2) K and p = 0.1 MPa, Fluid Phase Equilib, 307 (2011), 30-38
##[18]
G. W. Meindersma, B. T. J. Simons, A. B. de Haan, Physical properties of 3-methyl-N-butylpyridinium tetracyanoborate and 1-butyl-1-methylpyrrolidinium tetracyanoborate and ternary LLE data of [3-mebupy]B(CN)4 with an aromatic and an aliphatic hydrocarbon at T = 303.2 K and 328.2 K and p = 0.1 MPa, J. Chem. Thermodyn., 43 (2011), 1628-1640
##[19]
G. W. Meindersma, A. Podt, A. B. de Haan, Ternary Liquid-Liquid Equilibria for Mixtures of an Aromatic + an Aliphatic Hydrocarbon + 4-Methyl-N-butylpyridinium Tetrafluoroborate, J. Chem. Eng. Data, 51 (2006), 1814-1819
]
Differential Transformation Method for Solving a Class of Nonlinear Optimal Control Problems
Differential Transformation Method for Solving a Class of Nonlinear Optimal Control Problems
en
en
In this paper, the Differential Transformation Method (DTM) is suggested to solve a class of
nonlinear optimal control problems. By applying the DTM, nonlinear two-point boundary value
problem (TPBVP) which is derived from the Pontryagin’s maximum principle, will be transformed
to a sequence of linear time-invariant TPBVP’s. Comparing the DTM to optimal homotopy
perturbation method shows the efficiency and advantages of this method. In this method, a few
iterations are required to find a suboptimal trajectory and control pair.
67
74
Esmail
Hesameddini
Alireza Fakharzadeh
Jahromi
Mohammad
Soleimanivareki
Hajar
Alimorad
Differential transformation method
Nonlinear optimal control problem
Pontryagin’s maximum principle.
Article.8.pdf
[
[1]
A. E. Bryson, Applied linear Optimal Control: Examples and Algorithm, Cambridge University Press, UK (2000)
##[2]
A. Jajrmi, H. Ramezanpour, A. Sargolzaei, P. Shafaei, Optimal control of Nonlinear systems Using the Homotopy Perturbation Method: Infinite Horizon Case, International Journal of Digital Technology and its Applications, 4 (2010), 114-122
##[3]
A. Jajarmi, N. Pariz, A. Vahidian Kamyad, S. Effati, A Highly Computational Efficient Method to Solve Nonlinear optimal Control Problems, Scientia Iranica, Transactions D: computer & Engineering and electrical Engineering , (2011), 759-766
##[4]
N. Barron, R. Jensen, The Pontryagin maximum Principle form Dynamic programming and Viscosity Solutions to First-partial Differntial Equations, Transections AMS, 298 (1986), 635-641
##[5]
D. E. Kirk, Optimal Control Theory An Introduction, Dover Publications, Inc. Mineola, New York (2004)
##[6]
R. Abazari, Numerical Study of Some Coupled PDEs by Using differential Transformation Method, Word Academy of Science, Engineering and Technology , 66 (2010), 52-59
]