Classification of Lie Subalgebras up to an Inner Automorphism

In this paper, a useful classification of all Lie subalgebras of a given Lie algebraup to an inner automorphism is presented. This method can be regarded as animportant connection between differential geometry and algebra and has many applications in different fields of mathematics. After main results, we have applied this procedure for classifying the Lie subalgebras of some examples of Lie algebras

A hybrid egalitarian bargaining game-DEA and sustainable network design approach for evaluating, selecting and scheduling urban road construction projects

Selecting and scheduling urban road construction projects (URCPs) is inherently an Urban Network Design Problem (UNDP) with a complex decision making process. Recently some studies have focused on sustainable UNDP, using different mathematical methods. In this paper, first a new network data envelopment analysis (NDEA) model has been developed. Then, considering sustainability dimensions, by integrating data envelopment analysis (DEA), game theory and sustainable UNDP, a bi-level model has been proposed for selecting and scheduling URCPs. A meta-heuristic algorithm is proposed to solve the presented bi-level model. Different test instances are solved to show the acceptable performance of proposed algorithm in both solution quality and execution time. Afterwards, the proposed model is applied to study the problem of urban road construction projects selection in a real-world case study of urban transportation network of Isfahan city in Iran. The results show that by applying obtained solution the environmental and social performance of the network has been improved and the performance of the network is almost efficient in all evaluation periods

The Recovery Effect of Cold Water Immersion and Massage on the Physical Performance of Young Male Soccer Players

Introduction: In recent years, reducing the time intercept between competitions and increasing the level and number of competitions, has made it one of the trainers' major concerns to adopt and employ a suitable recovery method to reduce fatigue and improve performance. The purpose of this study was to compare the effect of two recovery protocols of cold water immersion and massage on the performance of young male soccer players following an exhaustive exercise session. Methods: Thirty young male soccer players were selected as statistical samples and divided into 3 groups of 10, including cold water immersion (CWI), massage (M) and passive recovery (P). 24 hours before and after an exhaustive test of simulated soccer match (90 minutes), tests of 20 m sprint, 40 m sprint, agility, vertical jump and RSA were taken from the subjects. To analyze the findings, dependent t-test, one-way ANOVA and Tukey's post hoc test were used (p≥0.05). Results: There was no significant difference in the rate of variation in 20 m sprint and Sargent jump performances in the subjects of three groups (P≤0.05). Also, the agility of the CWI recovery group was significantly improved compared to the massage recovery group (P = 0.003). However, the repeat sprints ability in the recovery group of massage was significantly improved compared to the CWI recovery group (p = 0.01). Conclusion: Using both recovery methods of cold water immersion and massage after an exhaustive exercise session has a positive effect on the performance of young male soccer players, and if the conditions are met, then both recovery methods will probably have positive effects