This study focuses on the investigation of intelligent form-finding and vibration analysis of a triangular polyhedral tensegrity that is enclosed within a sphere and subjected to external loads. The nonlinear dynamic equations of the system are derived using the Lagrangian approach and the finite element method. The proposed form-finding approach, which is based on a basic genetic algorithm, can determine regular or irregular tensegrity shapes without dimensional constraints. Stable tensegrity structures are generated from random configurations and based on defined constraints (nodes located on the sphere, parallelism, and area of upper and lower surfaces), and shape finding is performed using the fitness function of the genetic algorithm and multi-objective optimization goals. The genetic algorithm's efficacy in determining the shape of structures with unpredictable configurations is evaluated in two distinct scenarios: one involving a known connection matrix and the other involving fixed or random member positions (struts and cables). The shapes obtained from the algorithm suggested in this study are validated using the force density approach, and their vibration characteristics are examined. The findings of the comparative study demonstrate the efficacy of the proposed methodology in determining the vibrational behavior of tensegrity structures through the utilization of intelligent shape seeking techniques.

In this article Citizen Media and its role in the formation of alternative public sphere is discussed. At first theoretical issues of formation of alternative public sphere and its dependence on a widespread media like Internet is addressed and then the trend process of citizen Media and their place in the new media ecosystem is debated. The case study of the article comprises of 5 websites involved in citizen journalism. These case studies were selected for their focus on the formation of alternative public sphere and dialogue atmosphere. As a final point the mechanisms of activities and organizing these media are discussed. It is also mentioned that the selected case studies have particular characteristics and are confronted with certain challenges.

The religious sphere in Heidegger's thought is one of the persistent questions that consider the relation of religion, theology, philosophy in his life and his idea. His argument about ideas, religious characters and also his own points about the significance of the ideas and characters in the formation of his philosophic project, illuminates the role of religion in general and Christian theology in particular in his life and his thoughts. Although his thoughts have several sources, but Christian theology and Gnosticism have had a permanent influence on them.Heidegger's bases in existence analysis have common aspects with Augustine, Eckhart, Luther, and Kierkegaard. Heidegger has used phenomenology to analyze original life and believes that this life can be touched in a religious approach and such an experience can be found in primary Christianity. Although religious experience is not his only favorite subject he considers religion as a possible form of life, completely different from philosophy. Although Heidegger does not comment on the existence of God and does not take the same religious and metaphysical attitude about God, he gives some attributes about existence that is usually used for God. Lots of statements Heidegger has uttered about existence remind one of negative theology. His viewpoint can be considered as an attempt for forming a faith in contemporary world beyond its traditional forms.

The main default of this study creation and expand public sphere as the most important missions of the intellectual discourse has been called in developing countries. This default is the role of intellectual discourse decades 1960 and 1970 in drawing the political space and civil society concern in this essay. For this theoretical framework to investigate the historical- comparative approach and critical analysis model is designed. Followed by ideal types of intellectual, intellectual discourse and public sphere based on the theoretical framework for operational research the original concept was formed. Idea of expanding public sphere as independent variable has been evaluated in six prominent intellectuals. Thus first is presented a sociological analysis of social structure and relations in Iran social system. The concerns, challenges and ways to exit every thought have been studied. And in this review is analyze the position of public sphere in each intellectual discourse. In the final analysis, intellectual discourses often remains sterile due to the dominance anti-modernism thinking to creating and expanding public sphere in 1960 and 1970 decades, while public sphere is a special product of modernity.

We examine the diffusion equation on the sphere. In this sense, we answer the question of the symmetry classification. We provide the algebra of symmetry and build the optimal system of Lie subalgebras. We prove for one-dimensional optimal systems of Eq. (1. 4), space is expanding Ricci solitons. Reductions of similarities related to subalgebras are classified, and some exact invariant solutions of the diffusion equation on the sphere are presented.