Annals of Optimization Theory and Practice
Volume:2 Issue: 3, Autumn 2019

Mathematics has been applied to all sciences; and religious and military sciences are no exception, and mathematics can be used highly to design different war operations and solve battlefield equations to gain relative or absolute superiority over the enemy. We can also see clearly the application of mathematics in the Game Theory of war in abundance. In this applied research, conducted in a library method, the challenges between the army of Amir al-Mu’minin, ʿAlī ibn Abī Ṭālib (as) and the army of Muʿāwiya ibn Abī Sufyān in the Battle of Siffin have been modeled using Game Theory and the strategies of each of these two fronts are compared. Finally, in order to examine the war utility, we seek to find the strategic equilibrium point between them. So, we obtain and discuss the utility function for each party's set of strategies in the battle of Siffin.

There have been numerous attempts by experts to measure countries' power. The results of the research indicate that one of the most important indicators affecting national power is the economic factor. A survey of the empowering parameters of many powers in the world shows that economic prosperity, national production, and industries export are among the most important reasons for empowering a number of countries. Therefore, in order to plan for the promotion of the national status and power of the country, it is necessary to examine the factors affecting the economic factor and patterns of world economic trade. So studying the trends of the world economy and its influential resources in order to plan for optimal management of resources and planning necessary to increase the economic and defense power of the country is necessary. In this regard, the current research examines the patterns of world economic trade, transport, and infrastructure, water, and their interactions.

Cryptography on Elliptic curve is one of the most important public key encryption systems, whose security depends on difficulty of solving the discrete logarithm problem. The reason of importance is that elliptic curves provide security equivalent to classical systems while using fewer bits. To encrypt a plain message with El-Gamal algorithm, we embed the message to the point on the elliptic curve using the Koblitz technique. In this paper, we explore the conditions that encrypt the message without mapping the point on the elliptic curve.

Organizations, in order to survive and grow in this changing and unstable environment, are forced to adopt a central strategy and move towards new management methods, including strategic management. This research is a mixed type and a combination of quantitative and qualitative research.The statistical population of the study includes all managers, experts and staff of the Land Forces Cultural and Sports Club, which was used due to the limited number of censuses. Using Delphi's method, meetings and several stages of strategic analysis, the strategic goals of the club were determined and provided to the research sample. A balanced scorecard model was used to implement the strategic plan. Results The research results showed that the executive model of strategic programs of Nezaja Sports and Cultural Club has four perspectives: medal and promotion of national and international status, culture and development of sports, internal management and processes, financial development and income generation, 10 strategies, 26 strategic goals. , 68 metrics, and 145 operational plans, actions and initiatives. In the end, it can be concluded that the proposed model has the ability to be used in the implementation of the club's strategic plan.