Category: MATHEMATICS

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Fuzzy Model, Neural Network and Empirical Model for the Estimation of Global Solar Radiation for Port-Harcourt, Nigeria

The invaluable role of the estimation of global solar radiation in solar engineering systems provides very useful direction for various solar applications. This paper employs the Adaptive Neuro Fuzzy Inference System (ANFIS), Artificial Neural Network (ANN) and regressive technique for the prediction of global solar radiation(GSR) on horizontal surface using temperature swing and relative humidity…
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January 6, 2020 0

Automatic Task Splitting for Uniprocessor Systems Scheduled with Non-Preemptive EDF

Although preemptive scheduling dominates non-preemptive scheduling from a schedulability perspective, the latter will often be chosen by developers of real-time systems with resource constraints due to the inherently lower system overheads, easier code implementation and timing analysis. This paper is concerned with the uniprocessor scheduling of periodic and sporadic tasks with arbitrary relative deadlines in…
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January 6, 2020 0

Blood Flow Through a One-point Stenosed Artery: Reynolds Number Effects

This paper studies the effects of Reynolds number on the oscillating flow in through a one-point stenosed artery. The nonlinear equations governing the flow are solved analytically by the method of perturbation series solutions. Expressions for the velocities and wall shear stress are obtained and analyzed graphically. It is found that increase in the Reynolds…
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January 6, 2020 0

Magic Polygons and Degenerated Magic Polygons: Characterization and Properties

In this work we define Magic Polygons P(n; k) and Degenerated Magic Polygons D(n; k) and we obtain their main properties, such as the magic sum and the value corresponding to the root vertex. The existence of magic polygons P(n; k) and degenerated magic polygons D(n; k) are discussed for certain values of n and…
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January 6, 2020 0

Colombeau Solutions to Einstein Field Equations in General Relativity: Gravitational Singularities, Distributional SAdS BH Spacetime-Induced Vacuum Dominance

This paper dealing with Colombeau extension of the Einstein field equations using apparatus of the Colombeau generalized function [1]-[2] and contemporary generalization of the classical Lorentzian geometry named in literature Colombeau distributional geometry, see for example [5]-[30] and [15][31]. The regularizations of singularities present in some Colombeau solutions of the Einstein equations is an important…
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November 16, 2019 0

Recursive Computation of Binomial and Multinomial Coefficients and Probabilities

This chapter studies a prominent class of recursively-defined combinatorial functions, namely, the binomial and multinomial coefficients and probabilities. The chapter reviews the basic notions and mathematical definitions of these four functions. Subsequently, it characterizes each of these functions via a recursive relation that is valid over a certain two-dimensional or multi-dimensional region and is supplemented…
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July 24, 2019 0

On the Proof Complexities of Strongly Equal Non-classical Tautologies

The strong equality of classical tautologies and their proof complexities comparative analysis in certain proof systems were given by first author in previous studies. Here we introduce the analogous notions of strong equality for non-classical (intuitionistic and minimal) tautologies and investigate the relations between the proof complexity measures of strongly equal non-classical tautologies in some…
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July 24, 2019 0

DRBEM Sensitivity Analysis and Shape Optimization of Rotating Magneto-Thermo-Viscoelastic FGA Structures Using DRBEM-GSS and DRBEM-NGGP Algorithms

Aims: A practicalshape optimization technique is developed, using the dual reciprocity boundary element method (DRBEM) with the golden-section search algorithm based on uniform bicubic B-splines, for rotating magneto-thermo-viscoelastic functionally graded anisotropic (FGA) structures subjected to a moving heat source in the context of the Green and Naghdi theory of type III. Study Design: Original Research…
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July 24, 2019 0

Examples of Simply and Multiply Connected Fatou Sets for a Class of Meromorphic Functions

Aims: We give some families of functions which are meromorphic outside a compact countable set B of essential singularities. Our aim is to give some examples of the stable set (called the Fatou set) and the unstable set (called the Julia set) since there are not many examples of parametric family of this class of…
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July 24, 2019 0

There is No Standard Model of ZFC and ZFC2

In this Chapter we obtain a contradictions in formal set theories under assumption that these theories have omega-models or nonstandard model with standard part. An possible generalization of Lob’s theorem is considered. Main results are: (i) ¬Con(ZF C+∃MZFCst), (ii) ¬Con(N F+∃MNFst), (iii) ¬Con(ZF C2), (iv) let k be an inaccessible cardinal then ¬Con(ZF C+∃κ), (v)…
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July 24, 2019 0