Abstract: This article uses the mathematical software Maple for the auxiliary tool to study the differential problem of two types of trigonometric functions. We can obtain the Fourier series expansions of any order derivatives of these two types of functions by using binomial theorem and differentiation term by term theorem, and hence greatly reduce the difficulty of calculating their higher order derivative values. On the other hand, we propose two examples to do calculation practically. The research methods adopted in this study involved finding solutions through manual calculations and verifying these solutions by using Maple.

Abstract: In this paper, the authors settle down a systemic theory of the ideologies in one first approach, distinguishing between the Structural Base and the Superstructure, settling down projections and images between both. Distinction between material structure (Structural Base SB) and ideal or cultural Superstructure is common. This dichotomy translates to social sphere the old religious and philosophical dualism between the body and the soul. In fact, such separation between body and soul, between material structure and ideal and cultural superstructure does not exist. It is a cybernetic process with mathematical and logical images and projections. We consider the Eco-sustainability as an ediodynamic ideology in according to Waldorf’s classification.

Abstract: This paper uses the mathematical software Maple for the auxiliary tool to study four types of integrals. We can obtain the infinite series forms of these integrals by using binomial theorem and integration term by term theorem. In addition, we propose two examples to do calculation practically. The research methods adopted in this study involved finding solutions through manual calculations and verifying these solutions by using Maple.

Abstract: Cloud provides the environment for the mobile users called mobicloud to performs computationally intensive operation such as searching, data mining, and multimedia processing. Addressing the trust management, secure routing, and risk management issues in this framework are notable. To this end, we present a secure mobile cloud data access framework through trust management and private data isolation.

Abstract: Linguistic systems are the human tools to understand reality. But is it possible to attain this reality? The reality that we perceive, is it just a fragmented reality of which we are part? In this paper the authors present is an attempt to address this question from an epistemological and philosophic linguistic point of view.