In this paper we study different applications of the theory of differential subordination defined on the space of p-valent functions which are defined by linear operators. Also, some examples are given.
This paper outlines the basic difference between the Mamdani/Sugeno Fuzzy inference systems (FIS) and the actual values. The main motivation behind this research is to assess which approach provides the best performance for predicting prices of Fund. Due to the importance of performance in Economy, the Mamdani and Sugeno models are compared using four types of membership function (MF) generation methods: the Triangular, Trapezoidal, Gaussian and Gbell. Fuzzy inference systems (Mamdani and Sugeno fuzzy models) can be used to predict the weekly prices of Fund for the Egyptian Market. The application results indicate that Sugeno model is better than that of Mamdani. The results of the two fuzzy inference systems (FIS) are compared.
Consider any positive integer n. If n is even, halve it. If n is odd, multiply it by 3 and add 1. This algorithm is then repeated indefinitely. It has been conjectured by Collatz that this process, which is also known as Hasse’s algorithm, eventually reaches 1. A new perspective on this problem is offered by considering Hasse’s algorithm in binary representation. Some important consequences are used to establish that no proof of the Collatz conjecture exists.
Liquid storage tanks are critical elements in the water supply scheme and firefighting system in many industrial facilities for storage of water, oil, chemicals and liquefied natural gas. A common effective method to reduce the seismic response of liquid storage tanks is using base-isolation systems. In this research, the finite element method is used to investigate the seismic behavior of rectangular liquid tanks in three-dimensional domains. The continuous liquid mass of the tank was modeled as lumped masses referred as convective mass, impulsive and rigid mass. The rectangular water tank in two cases base isolated and conventional non-isolated system was selected as a case study. The sloshing displacement and base shear response in two mentioned cases subjected to various ground motions under horizontal components X and Y directions were considered and the results were compared. For this purpose the nonlinear time history analyses of the model were performed. As a result, base isolation was found to be effective in reducing the base shear values, without significantly affecting the sloshing displacements.
In recent years, there have been intensive efforts to establish linearised oscillation results for onedimensional delay, neutral delay and advanced impulsive differential equations. An impressive number of these efforts have yielded fruitful results in many analytical and applied areas. This is particularly obvious in the areas of applied disciplines such as the linear delay impulsive differential equations. However, there still remains a lot more to be explored in this direction, especially, in the area of non-linear autonomous differential equations. In this paper, we are proposing the development of linearised oscillation techniques for some general non-linear autonomous impulsive differential equations with several delays.
In this article, with the help of three axioms (Definition 3.1), the notion of abstract morphisms is introduced (see [1,2]). It will be proven that Hausdorff topological spaces together with abstract morphisms create a category on which the functor of ÄŒech homology is extended.
In this paper, a two microorganisms and two nutrient chemostat competitive model with time delay and impulsive effect is considered. Besides, a polluted environment and an inhibitor were considered in this model. By using the theorem of the impulsive differential equations and delay differential equations, we obtain the sufficient conditions for the global attractivity of the microorganisms extinction periodic solution and the permanence of the system. Finally, the numerical simulations are presented for verifying the theoretical conclusions.
Aims/ Objectives: In this article we construct a mathematical/topological framework for comprehending fundamental concepts in Plato's theory of Forms; specically the dual processes of:
1. The participation/partaking-methexis of the many particulars predicated as F to the Form-essence F, according to their degree of participation to it. 2. The presence-parousia of the Form-essence F to the particulars predicated as F, in analogy to their degree of participation to F as in 1. The theoretical foundation of our model is primarily based on a combination of both the Approximationist and Predicationalist approaches for Plato's theory of Forms, taking into account the degree of participation of the particulars to the Form, that are predicated to. In constructing our model we assume that there exists exactly one Form corresponding to every predicate that has a Form (Plato's `uniqueness thesis'), and to support our main theses we analyze textual evidence from various Platonic works. The mathematical model is founded on the dual notions of projective and inductive topologies, and their projective and inductive limits respectively.