Abstract: Publication year: 2018Source: Applied Mathematics, Volume 8, Number 1Timothy Sands, Jae Jun Kim, Brij AgrawalThis manuscript reveals both the full experimental and methodical details of a most-recent patent that demonstrates a much-desired goal of rotational attitude control actuators, namely extremely high torque without mathematical singularity and accompanying loss of attitude control. The paper briefly reviews the most recent literature, and then gives theoretical development for implementing the methods described in the patent to compute a non-singular steering command to the actuators. The theoretical developments are followed by computer simulations used to verify the theoretical computation methodology, and then laboratory experiments are used for validation on a free-floating hardware simulator.

Abstract: Publication year: 2018Source: Applied Mathematics, Volume 8, Number 1Sencer TaneriBosons and Fermions are observable in nature while Quarks appear only in triplets for matter particles. We find a theoretical proof for this statement in this paper by investigating 2-dim model. The occupation numbers q are calculated by a power law dependence of occupation probability and utilizing Hausdorff dimension for the infinitely small mesh in the phase space. The occupation number for Quarks are manipulated and found to be equal to approximately three as they are Parafermions.

Abstract: Publication year: 2018Source: Applied Mathematics, Volume 8, Number 1S. I. HamidovWe consider the two-sector model of the economic dynamics. The problem of the distribution of labor between sectors is considered under the condition that the total consumption is maximized. As a production function is taken a function with constant elasticity of the substitution (CES). Potential opportunity of the sectors is analyzed.

Abstract: Publication year: 2017Source: Applied Mathematics, Volume 7, Number 4Ohochuku N. StephenThis article brings together the various current procedures used to construct the tangents (common or equal) to the two circles in a two circle system, radical points/axis and homothetic points that are essential to these constructions with the aim of showing the important contributions of the radii of the circles in these operations. Two new methods one for constructing external homothetic point and the other for a pair of special radical points using combinations of the radii are also added as update. All the methods listed show that the radii of the two circles combined in different ways can be used to determine respectively the external homothetic point and the radical points/axis which are essential in the construction of tangents in two circle systems.

Abstract: Publication year: 2017Source: Applied Mathematics, Volume 7, Number 3Salah H. Abid, Russul K. AbdulrazakIn this paper, we introduce a new family of continuous distributions based on [0,1] truncated Fréchet distribution. [0,1] truncated Fréchet Generalized Gamma distribution is discussed as special cases. The cumulative distribution function, the rth moment, the mean, the variance, the skewness, the kurtosis, the mode, the median, the characteristic function, the reliability function and the hazard rate function are obtained for the distributions under consideration. It is well known that an item fails when a stress to which it is subjected exceeds the corresponding strength. In this sense, strength can be viewed as "resistance to failure". Good design practice is such that the strength is always greater than the expected stress. The safety factor can be defined in terms of strength and stress as strength/ stress. So, the [0,1] TFGG strength-stress model with different parameters will be derived here. The Shannon entropy and Relative entropy will be derived also.

Abstract: Publication year: 2017Source: Applied Mathematics, Volume 7, Number 3Ohochuku N. StephenThe inherent properties of a regular polygon, viz equal sides and equal base angles, have been used with each side subtending the same angle (that is equal to the external angle) at the centre of the polygon to develop a method currently in use for the construction of any regular polygon. This paper reports of the use of the equal sides, equal base angles and equal angles (each of which is equal to half the external angle) subtended by the sides at the corner to generate new methods for the construction of a regular polygon. The harnessing of equal diagonals with the equal sides and equal exterior angle yielded another method of regular polygon construction and this is also presented here. These novel methods are less demanding, clear and straight forward compared to any existing methods requiring direct construction of base or external angle as a pre-requisite as in these new methods.

Abstract: Publication year: 2017Source: Applied Mathematics, Volume 7, Number 3Ubon Akpan Abasiekwere, Imoh Udo MoffatThis paper deals with the oscillations of a class of second order linear neutral impulsive ordinary differential equations with variable coefficients and constant retarded arguments. Here, we obtain sufficient conditions ensuring the oscillation of all solutions. Examples are provided to illustrate the abstract results.

Abstract: Publication year: 2017Source: Applied Mathematics, Volume 7, Number 2Uchenna Okwudili Anekwe, Emmanuel HassanSpecial form of integration involves method of integrating the product of a dependable variable (x) of a certain degree from Negative infinity to positive infinity together with an exponential function of that dependent variable(x) to the second degree. Integral function with the power of the dependent variable(x) multiplying that of the exponential function of that dependent variable(x) to the second power having an odd powers i.e ranging from x=1,2,3,5…. or an even powers i.e ranging from x=0,2,4,6… Have a general formular called the Anekwe’s integral Formular. The Anekwe’s integral Formular is a formular discovered to solve the product of the exponential function of the second power of the dependent variable together with the dependent variable (x) ranging from Negative infinity to positive infinity in order to solve functions of this nature with ease rather than using the gamma function. In this Manuscript the Special form of integration derived, is Applied in solving problems in statistical and Thermal Physics in terms of Speed and Energy of a given particle in motion.

Abstract: Publication year: 2017Source: Applied Mathematics, Volume 7, Number 2Durojaye M. O., Ajie I. J.This paper analyses the transmission dynamics of Ebola Virus Disease using the modified SEIR model which is a system of ordinary differential equation. We study the SEIR model with vaccination to see the effect of vaccination on both the spread and control of the disease. The numerical analysis is done using MATLAB ode 45 which uses Runge Kutta method of fourth order. Our study reveals that vaccination is a very efficient factor in reducing the number of infected individuals in a short period of time and increasing the number of recovered individuals. Our analysis made use of data from the 2014 Ebola outbreak in Liberia and Sierra Leone provided by the World Health Organization

Abstract: Publication year: 2017Source: Applied Mathematics, Volume 7, Number 2Richa Gupta, Deepak KumarThis work displays a numerical model of glucose metabolism including the digestion of carbohydrate as a factor affecting blood glucose concentration for type 1 diabetic patient. It includes a comparative study of glucose metabolism for different types of food: Black Beans, Whole Wheat Bread, Brown Rice, Lentils and Oatmeal. The model involves the differential equations for change in concentration of glucose, insulin and epinephrine in which factors for physical activities and carbohydrates affecting glucose concentration are also included. Graphs are drawn using the solution of the differential equations. This work represents glucose level picked up by various food items for both exercising and non-exercising person. It is concluded that there is a great impact of physical activities and eating habits in regulation of plasma glucose concentration for a type 1 diabetic patient.