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In sports tournaments, several teams compete with each other, and in the end, it will rank according to the final table of competitions. The results from the tournament will form the final tables. Because each match can obtain different results, a tournament can achieve different final tables. This article presents a systematic method for generating all possible scenarios for the final tables that a football tournament can achieve. In this research, we have only used the teams' results to produce the final tables, and other issues such as the number of goals scored or the goal difference have not been addressed. The proposed recursive method is suitable for functional programming and implemented using Haskell programming Language.

Planning of an islanded hybrid system (IHS) with different sources and storages to supply clean, flexible, and highly reliable energy at consumption sites is of high importance. To this end, this paper presents the design of an IHS with a wind turbine, photovoltaic, diesel generator, and stationary (battery) and mobile (electrical vehicles) energy storage systems (ESS). The proposed method includes a multi-objective optimization to minimize the total cost of construction, maintenance, and operation of sources and ESSs within the IHS and the emission level of the system using two separate objective functions. The problem is subject to operational and planning constraints of sources and ESSs and power. Employing the Pareto optimization technique based on the e-constraint method forms a single-objective optimization problem for the proposed design. The problem involves uncertainties of load, renewable energy, and energy demand of mobile ESSs and has a nonlinear form. Adaptive robust optimization based on a hybrid meta-heuristic algorithm that utilizes a combination of the sine-cosine algorithm (SCA) and crow search algorithm (CSA) is proposed to achieve an optimal robust structure for the suggested scheme. In this scheme, operation model of the mobile storage systems in the IHS considering the uncertainties prediction errors and its model using HMA-based ARO besides adopting the HMA to achieve a unique optimal solution are among the novelties of this research. Eventually, considering the climate data and energy consumption of a region in Rafsanjan, Iran, capabilities of the method in extracting a robust IHS for sources and ESSs are validated depending on optimal economic and environmental conditions. The HMA succeeds to reach an optimal solution with an SD of 0.92% in the final response and this underlines its capability in achieving approximate conditions of unique responsiveness. The proposed scheme with proper planning and operation of sources and storages in the form of a HIS finds optimal values for economic and environmental conditions so that the difference between pollution and cost values from its minimum values at the compromise point is roughly 22%. For 17% uncertainty parameters prediction errors, the scheme obtains a robust structure for the IHS.

Bilgi gizleme son zamanlarda çok ilgi gördü. Steganografi için çeşitli yöntemler geliştirilmiş ve aynı zamanda gizli verileri tespit etmek için uygun steganalizler tasarlanmıştır. Bununla birlikte, steganaliz tarafınden dikkate alınmamasi için yeni bir kapak türünde sunulan bir yaklaşım daha az şüpheli olabilir. Bu makale bir mesajı matematiksel ifadeye dönüştürebilen bir yöntem önermektedir. Oluşturulan matematiksel ifade, oldukça güvenli bir metinle birlikte mesajı iletmek için bir kapak olarak kullanılabilir. Önerilen yöntem, uygun bir stokastik dilbilgisi kullanarak, belirli bir metne dayalı matematiksel bir ifade oluşturma yeteneğine sahiptir. Dilbilgisi kurallarının olasılığı, taşıyıcı metne göre ve matematiksel ifadelerin türüne göre belirlenebilir., Information hiding has received a lot of attention recently. Various methods have been developed for steganography, and at the same time, proper steganalysis has been designed to detect hidden data. However, an approach that is introduced in a new type of cover can be less doubtful due to the lack of attention to steganalysis analyses. This paper proposes a method that can convert a message into a mathematical expression. The generated mathematical expression can be used as a cover to transmit the message along with a highly secure text. The proposed method, using a suitable stochastic grammar, has the ability to create a mathematical expression based on a given text. Probability of grammar rules can be determined in accordance with the carrier text and based on the type of mathematical expressions.