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Volume 7, December
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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on mdpi.com as a courtesy and upon agreement with the previous journal publisher.

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Math. Comput. Appl., Volume 7, Issue 2 (August 2002) – 11 articles , Pages 93-188

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Open AccessArticle
Determination of Stress Functions of a Curved Beam Subjected to an Arbitrarily Directed Single Force at the Free End
Math. Comput. Appl. 2002, 7(2), 181-188; https://doi.org/10.3390/mca7020181 - 01 Aug 2002
Cited by 2 | Viewed by 803
Abstract
In this study, closed form stress functions of a curved beam are determined by theory of elasticity. The beam is subjected to a single force arbitrarily directed at the free end. Stresses are plotted for various sections of the beam and various directions [...] Read more.
In this study, closed form stress functions of a curved beam are determined by theory of elasticity. The beam is subjected to a single force arbitrarily directed at the free end. Stresses are plotted for various sections of the beam and various directions of the force. Full article
Open AccessArticle
Effect of Plate Spacing of Impingement Air Jet on Flow and Heat Transfer Characteristics
Math. Comput. Appl. 2002, 7(2), 171-179; https://doi.org/10.3390/mca7020171 - 01 Aug 2002
Viewed by 764
Abstract
In this paper the flow and heat transfer characteristics in the turbulent confinement impinging air jet have been numerically analyzed. Two-equation turbulence model, κ-ε, have been used. Mass, momentum, energy, turbulent kinetic energy and turbulent kinetic energy dissipation rate equations were solved by [...] Read more.
In this paper the flow and heat transfer characteristics in the turbulent confinement impinging air jet have been numerically analyzed. Two-equation turbulence model, κ-ε, have been used. Mass, momentum, energy, turbulent kinetic energy and turbulent kinetic energy dissipation rate equations were solved by the PHOENICS package program. Velocity, turbulent kinetic energy, turbulent kinetic energy dissipation rate and heat transfer characteristics in the impinging region have been predicted by finite volume scheme for the various plate spacings. Full article
Open AccessArticle
Matrix Transformations of Some Generalized Analytic Sequence Spaces
Math. Comput. Appl. 2002, 7(2), 165-170; https://doi.org/10.3390/mca7020165 - 01 Aug 2002
Viewed by 780
Abstract
The aim of this paper is to define and to investigate the generalized analytic sequence spaces \(c_{0}^{\nu}(p,s)\), \(l_{\infty}^{\nu}(p,s)\) and \(l^{\nu}(p,s)\) and to determine the matrices of classes, like \((l_{\infty}^{\nu}(p,s), l_{\infty})\), \((c_{0}^{\nu}(p,s), l_{\infty})\), \((l^{\nu}(p,s), l_{\infty})\), \((l_{\infty}^{\nu}(p,s), c)\), \((c_{0}^{\nu}(p,s), c)\), and \((l^{\nu}(p,s), c)\), where the [...] Read more.
The aim of this paper is to define and to investigate the generalized analytic sequence spaces \(c_{0}^{\nu}(p,s)\), \(l_{\infty}^{\nu}(p,s)\) and \(l^{\nu}(p,s)\) and to determine the matrices of classes, like \((l_{\infty}^{\nu}(p,s), l_{\infty})\), \((c_{0}^{\nu}(p,s), l_{\infty})\), \((l^{\nu}(p,s), l_{\infty})\), \((l_{\infty}^{\nu}(p,s), c)\), \((c_{0}^{\nu}(p,s), c)\), and \((l^{\nu}(p,s), c)\), where the sequence space and \(c\) are respectively the spaces of bounded and convergent complex sequences. Full article
Open AccessArticle
Fredholm-Volterra Integral Equation in the Contact Problem
Math. Comput. Appl. 2002, 7(2), 157-164; https://doi.org/10.3390/mca7020157 - 01 Aug 2002
Viewed by 1082
Abstract
In this paper, under certain condition the Fredholm-Volterra integral equation of the first kind is solved. The existence. and uniqueness of the solution is considered. The Fredholm integral equation of the second kind is established from the work, and its solution is also [...] Read more.
In this paper, under certain condition the Fredholm-Volterra integral equation of the first kind is solved. The existence. and uniqueness of the solution is considered. The Fredholm integral equation of the second kind is established from the work, and its solution is also obtained. Full article
Open AccessArticle
General Nonlinear Mixed Variational-Like Inequality Problem Involving Relaxed Lipschitz Operators
Math. Comput. Appl. 2002, 7(2), 151-156; https://doi.org/10.3390/mca7020151 - 01 Aug 2002
Cited by 1 | Viewed by 757
Abstract
In this article, we use the auxiliary principle technique to prove the existence, uniqueness theorem of solutions for the general nonlinear mixed variational-like inequality and special cases, which can be obtained from our main result are also discussed. Full article
Open AccessArticle
Multiindex Multivariable Hermite Polynomials
Math. Comput. Appl. 2002, 7(2), 139-149; https://doi.org/10.3390/mca7020139 - 01 Aug 2002
Cited by 1 | Viewed by 1045
Abstract
In the present paper multiindex multivariable Hermite polynomials in terms of series and generating function are defined. Their basic properties, differential and pure recurrence relations, differential equations, generating function relations and expansions have been established. Few deductions are also obtained. Full article
Open AccessArticle
On a General Projection Algorithm for Variational Inequalities Involving Relaxed Lipschitz and Relaxed Monotone Mappings
Math. Comput. Appl. 2002, 7(2), 133-137; https://doi.org/10.3390/mca7020133 - 01 Aug 2002
Viewed by 732
Abstract
In this paper, we consider the generalized nonlinear quasi-variational inequalities problem for set-valued mappings and construct an iterative algorithm for find the approximate solution of this problem by exploiting the projection method and prove the existence of the solution to our problem involving [...] Read more.
In this paper, we consider the generalized nonlinear quasi-variational inequalities problem for set-valued mappings and construct an iterative algorithm for find the approximate solution of this problem by exploiting the projection method and prove the existence of the solution to our problem involving relaxed Lipschitz and relaxed monotone mappings and the convergence of the iterative sequences generated by this algorithm. Full article
Open AccessArticle
Investigation of the Stresses and Strains of Steel Column-Beam Connections Subjected to Seismic Loading
Math. Comput. Appl. 2002, 7(2), 123-132; https://doi.org/10.3390/mca7020123 - 01 Aug 2002
Cited by 1 | Viewed by 764
Abstract
In Turkey most of the buildings are constructed using concrete, while it is known that concrete is a brittle construction material unsuitable for countries prone to earthquakes. Therefore in other earthquake prone countries such as Japan and USA steel column-beam connections are widely [...] Read more.
In Turkey most of the buildings are constructed using concrete, while it is known that concrete is a brittle construction material unsuitable for countries prone to earthquakes. Therefore in other earthquake prone countries such as Japan and USA steel column-beam connections are widely used. It is accepted worldwide that these types of structures are more resistant to seismic loading compared to concrete structures. The steel column-beam connection region is the most critical part for steel framed structures in terms of various factors such as the materials employed, the type of connection, the degree of seismic loading, etc. In this study, a welded column-beam connection was modelled using I-DEAS software and finite element analysis was carried out on the model in order to conduct the stress-strain analysis. Full article
Open AccessArticle
Possibility of Practical Using of Electric Field in Transportation Systems
Math. Comput. Appl. 2002, 7(2), 113-121; https://doi.org/10.3390/mca7020113 - 01 Aug 2002
Viewed by 759
Abstract
Liquid motion in pipes under electric field action has been theoretically and experimentally investigated for the first time. Essential dependences of liquid properties on electric field are found. Flowrate increase is discovered and viscosity change is estimated. Condition for the effect validity is [...] Read more.
Liquid motion in pipes under electric field action has been theoretically and experimentally investigated for the first time. Essential dependences of liquid properties on electric field are found. Flowrate increase is discovered and viscosity change is estimated. Condition for the effect validity is given. New electric field construction for real transportation system is developed. Using real hydrodynamic diagram, some appropriate pressure gains are calculated. Full article
Open AccessArticle
Artificial Neural Networks in Robot Control Systems: A Survey Paper
Math. Comput. Appl. 2002, 7(2), 103-112; https://doi.org/10.3390/mca7020103 - 01 Aug 2002
Viewed by 778
Abstract
This paper presents an overview on applications of artificial neural networks (ANNs) to robot control systems and outlines the contributions of ANNs. Adaptive neurocontrol architectures are introduced and compared to traditional adaptive control methods. Full article
Open AccessArticle
On the Phase Dependence of the Cramér-Rao Bounds for Damped Sinusoids
Math. Comput. Appl. 2002, 7(2), 93-102; https://doi.org/10.3390/mca7020093 - 01 Aug 2002
Viewed by 772
Abstract
The problem of estimating the parameters of superimposed damped sinusoids in noise is considered for both complex and real data cases. It is shown that for the complex case, the Cramér-Rao bounds on the variance of unbiased estimators of the signal parameters are [...] Read more.
The problem of estimating the parameters of superimposed damped sinusoids in noise is considered for both complex and real data cases. It is shown that for the complex case, the Cramér-Rao bounds on the variance of unbiased estimators of the signal parameters are independent of the phases of all the sinusoids, and that for the real case, the bounds for the parameters of a particular sinusoid are dependent on the phase of that sinusoid, but are independent of the phases of all the other sinusoids. Full article
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