Category: MATHEMATICS

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On the Domination Conditions for Families of Quasinearly Subharmonic Functions

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…
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February 24, 2020 0

Convergence of Locally Square Integrable Martingales to a Continuous Local Martingale

Author(s) Details Andriy Yurachkivsky Department of Operations Research, Faculty of Computer Science and Cybernetics, Taras Shevchenko National University, Kyiv, Ukraine Read full Book: http://bp.bookpi.org/index.php/bpi/catalog/book/137


February 8, 2020 0

Oscillatory Blood Flow in Bifurcating Capillaries

Oscillatory blood flow in bifurcating capillaries is examined. The governing nonlinear and coupled equations expressed in the form of the Boussinesq approximations are solved by the method of perturbation series expansions. Solutions for the concentration, temperature and velocity are obtained, and presented quantitatively using Malple 18 computational software. The results show that the rate of…
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January 6, 2020 0

Differential Subordinations for Non-analytic Functions

In paper [1], Petru T. Mocanu has obtained sufficient conditions for a function in the classes C1 (U), respectively C2 (U) to be univalent and to map U onto a domain which is starlike (with respect to origin), respectively convex. Those conditions are similar to those in the analytic case. In paper [2], Petru T.…
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January 6, 2020 0

Homfly Polynomial of Knotted Trivalent Plane Graphs

We study the Homfly polynomial of periodic knotted trivalent plane graphs introduced in [1]. We show how periodicity of a knotted trivalent plane graphs is reflected in this polynomial. In particular, we derive congruences of periodic knotted trivalent plane graphs in terms of this polynomial invariant. These congruences yield criteria for periodicity of knotted trivalent…
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January 6, 2020 0

Computation of Partial Derivative of Matrix Determinant Arises in Multiparameter Eigenvalue Problems

This chapter considers an iterative scheme based on Newton’s method to find the solution of eigenvalues of Linear Multiparameter Matrix Eigenvalue Problems(LMEP). This chapter is also intended to review some iterative algorithms for computation of partial derivatives of matrix determinant involved in Newton’s Method. First algorithm is based on standard Jacobi formula and second one…
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January 6, 2020 0

Energy Integration to Ensure Effective Generation Supply and Distribution in Ghana Corporation Perspective

Aims: The objectives of the research are to examine the awareness and efficiency of the renewable energy law in Ghana; determine the main source for energy generated by the VRA, GRIDCO, and ECG; determine the distribution gap and find out how effectively these corporations are making use of the other resources to generate electric energy…
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January 6, 2020 0

Ensemble of Soft Computing Techniques for Inline Intrusion Detection System

An intrusion detection system automates the supervising activities in a computer network and computer system. It is used to analyses activities in network or computer. Basically, intrusion detection system is used to identify abuse or incomplete threats of abuse of computer security policies. It detects intruders, malicious actions, malicious code, and unwanted communications over the…
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January 6, 2020 0

Determinant of Matrix by Order Condensation

A simple and direct process is derived to compute the determinant of any square matrix of high order. The approach involves successive applying the matrix order condensation algorithm. A computer program listing in MATLAB is included and examples for finding the determinant of a given 7×7 matrix are given here for illustration. For more information…
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January 6, 2020 0

Convex Programming Based on Hahn-Banach Theorem

The main objective of this chapter is to present the separation theorems, important consequences of Hahn-Theorem theorem. Therefore, we begin with an overview on convex sets and convex functionals. Then go on with the Hahn-Banach theorem and separation theorems. Follow these results specification: first for normed spaces and then for a subclass of these spaces,…
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January 6, 2020 0