An Efficient Algorithm for Computation of a Minimum Average Distance Tree on Trapezoid Graphs | Chapter 03 | Theory and Applications of Mathematical Science Vol. 2

Author(s) Details

Dr. Sukumar Mondal
Department of Mathematics, Raja N. L. Khan Women’s College (Autonomous), Gope Palace, Paschim Medinipur, 721 102, West Bengal, India.

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On the Domination Conditions for Families of Quasinearly Subharmonic Functions | Chapter 09 | Theory and Applications of Mathematical Science Vol. 2

Domar has given a condition that ensures the existence of the largest subharmonic minorant of a given function. Later Rippon pointed out that a modification of Domar’s argument gives in fact a better result. Using our previous, rather general and flexible modifications of Domar’s original argument, we extend their results both to the subharmonic and to the quasinearly subharmonic settings.

Author(s) Details

Juhani Riihentaus
Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, FI-90014 Oulun Yliopisto, Finland and Department of Physics and Mathematics, University of Eastern Finland, P.O. Box 111, FI-80101 Joensuu, Finland.

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Existence of Solution of Nonlinear Functional Integral Equation Via Measure of Non-Compactness | Chapter 08 | Theory and Applications of Mathematical Science Vol. 2

The aim of this chapter is to present the existence result for solution of nonlinear Volterra-Hammerstein-Fredholm integral equation (in short VHFIE) under some conditions. The main tools are Darbo’s fixed point theorem involving measure of noncompactness for investigating the existence of solution of nonlinear Volterra-Hammerstein-Fredholm integral equation. An application and illustrative example of Volterra-Hammerstein-Fredholm integral equation are also present in this chapter.

Author(s) Details

Mrs. Kavita Sakure
Department of Mathematics, Govt. Digvijay Auto. P.G. College, Rajnandgaon, 491441, India.

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Integrability and the Properties of Solutions to Euler and Navier-Stokes Equations | Chapter 07 | Theory and Applications of Mathematical Science Vol. 2

It is known that the Euler and Navier-Stokes equations, which describe flows of ideal and viscid gases, are the set of equations of the conservation laws for energy, linear momentum and mass. As it will be shown, the integrability and properties of the solutions to the Euler and Navier-Stokes equations depend, firstly, on the consistency of equations of the conservation laws and, secondly, on the properties of conservation laws.

It was found that the Euler and Navier-Stokes equations have solutions of  two types, namely, the solutions that are not functions (depend not only on coordinates) and generalized solutions that are functions but realized discretely and hence, functions or their derivatives have discontinuities. A transition from the solutions of first type to generalized solutions describes the process of transition of gas-dynamic medium from non-equilibrium state to the locally-equilibrium one. Such a process is accompanied by the emergence of any observable formations (such as waves, vortices, turbulent pulsations and soon). This discloses the mechanism of such processes as emergence vorticity and turbulence.

Such results were obtained when studying the equations the conservation laws for energy and linear momentum, which turned out to be inconsistent, due to the non-commutativity of the conservation laws.

Author(s) Details

L. I. Petrova
Moscow State University, Russia.

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(p, q)-Growth of Meromorphic Functions and the Newton-Pade Approximant | Chapter 06 | Theory and Applications of Mathematical Science Vol. 2

Author(s) Details

Mohammed Harfaoui
University Hassan II Mohammedia, Laboratory of Mathematics, Criptography and Mechanical F.S. T., BP 146, Mohammedia 20650, Morocco.

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Common Fixed Point Theorems for a Pair of Self-Mappings in Fuzzy Cone Metric Spaces | Chapter 05 | Theory and Applications of Mathematical Science Vol. 2

In this chapter, we establish some common fixed point theorems for a pair of self mappings in fuzzy cone metric spaces under the generalize fuzzy cone contraction conditions. we extend and improve some recent results given in the literature.

Author(s) Details

Dr. Saif Ur Rehman
Department of Mathematics, Gomal University, Dera Ismail Khan 29050, Pakistan.

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Necessary and Sufficient Condition of Existence for the Quadrature Surfaces Free Boundary Problem | Chapter 04 | Theory and Applications of Mathematical Science Vol. 2

Author(s) Details

Dr. Mohammed Barkatou
Innovation in Sciences, Technology and Modeling Laboratory, University of Chouaïb Doukkali, Morocco.

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An Efficient Algorithm for Computation of a Minimum Average Distance Tree on Trapezoid Graphs | Chapter 03 | Theory and Applications of Mathematical Science Vol. 2

Author(s) Details

Dr. Sukumar Mondal
Department of Mathematics, Raja N. L. Khan Women’s College (Autonomous), Gope Palace, Paschim Medinipur, 721 102, West Bengal, India.

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Statistical Distribution Analysis Implementation Using PROLOG and MATLAB for Wind Energy | Chapter 02 | Theory and Applications of Mathematical Science Vol. 2

This paper analyses wind speed characteristics and wind power potential of Naganur site using statistical probability parameters. A measured 10-minute time series average wind speed over a period of 4 years (2006- 2009) was obtained from Site. The results of mean wind speed data is the first step of prediction of wind speed data of the site under consideration and a PROLOG program was designed and developed to calculate the Annual mean wind speed data of the site and to assess the wind power potentials, MATLAB programming is used. The Weibull two parameters (k and c) were computed in the analysis of wind speed data. The data used were real time site data and calculated by using the MATLAB programming to determine and generate the Weibull and Rayleigh distribution functions. The monthly values of k range from 2.21 to 8.64 and the values of c ranged from 2.28 to 6.80. The most probable wind speed and corresponding maximum energy are in the range of 2.45 to 6.52 and 3.10 to 6.26 respectively. The Weibull and Rayleigh distributions also revealed estimated wind power densities ranging between 7.30 W/m2 to 116.51 W/m2 and 9.71 W/m2 to 266.00 W/m2 respectively at 10 m height for the location under study. This paper is relevant to a decision-making process on significant investment in a wind power project and use of PROLOG programming to calculate the Annual mean wind speed data of the site.

Author(s) Details

Dr. K. Mahesh
Department of Electrical and Electronics Engineering, Sir M Visvesvaraya Institute of Technology, Bengaluru, India.

J. Lithesh
Department of Electrical and Electronics Engineering, New Horizon College of Engineering, Bengaluru, India.

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Analysis of Probabilistic Distributions and Uncertainty of Information Flow at Administrative Workflows | Chapter 01 | Theory and Applications of Mathematical Science Vol. 2

Common methods found in the market such as LEAN, AGILE, SCRUM are short and insufficient to generate a high level of efficiency in discrete-continuous variables based workflows and aspects of classification, decidability and analysis remains mostly copies of successful cases. The new metric and theoretical framework proposed in this article allows qualitative classification and analysis of workflows in close proximity to qualitative theory of differential equations (QDE), raising the possibility of fulfill the gaps existent in the commercial and popular methods. These metrics are also the result of research carried out in the view of the difficulty of characterizing the solidity aspect of workflows and enabling continuous improvements as a complex adaptive system (CAS).

Author(s) Details

Charles Roberto Telles
Department of Research Advisory, Secretary of State for Education and Sport, Curitiba, Paraná, Brazil.

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