A Parametric Approach for Solving Interval–Valued fractional Continuous Static Games

The aim of this paper is to show that a parametric approach can be used to solve fractional continuous static games with interval-valued in the objective function and in the constraints. In this game, cooperation among all the players is possible, and each player helps the others up to the point of disadvantage to himself, so we use the Pareto-minimal solution concept to solve this type of game. The Dinkelbach method is used to transform fractional continuous static games into non- fractional continuous static games. Moreover, an algorithm with the corresponding flowchart to explain the suggested approach is introduced. Finally, a numerical example to illustrate the algorithm’s steps is given

Fully Fuzzy Quadratic programming with unrestricted Fully Fuzzy variables and Parameters

There exist several methods for solving fuzzy linear or nonlinear programming problems under positivity fuzzy variables and restricted fuzzy coefficients. Due to the limitation of these methods, they can’t be applied for solving fully fuzzy linear or nonlinear programming problems with unrestricted fuzzy coefficients and fuzzy variables. In this paper an efficient method to find the fuzzy optimal solution for fully fuzzy quadratic programming (FFQP) problem with unrestricted variables and parameters has been proposed. All the coefficients and decision variables of both objective functions and the constraints are triangular fuzzy numbers. The proposed method is based on converted FFQP problem into crisp quadratic programming (CQP) problem. Finally an illustrative numerical example has been given to clarify the proposed solution method

ARCHITECT\u27S ROLE IN ENHANCING SOCIALLY SUSTAINABILE COMMUNITIES AND ITSREFLECTION ON ARCHITECTURAL EDUCATION

As the world these days is moving steadily towards sustainability and creating a better global community and this vision is what exactly the new communities need to become distinct and attract residents, so to achieve this vision, there are a set of sustainable design principles, which must be dealt with to reach the desired goal creating a Sustainable Society depends on environmental, economic, social and urban principles in which this research discusses the role of the architects in creating a successful society by enhancing the social sustainability within the built environment. The Professional role of architects is a process of preservation and creation of a required quality of the built environment according to the community ,in which his responsibility is not limited on the health and safety of the community users but it extends to the effects of the architectural products on the environment and for enhancing the social sustainability, architects must integrate in the community development as citizens as well, for achieving a successful social sustainable community. The architectural education is the base that builds the architect’s abilities and capabilities to perform his role, in which the education should be reset to enforce the notions of architecture beyond the building, and architect as a cooperative interdisciplinary player rather than a singular actor

Distributed Optimization of Multi-Robot Motion with Time-Energy Criterion

This paper is an application of a special case of distributed optimization problem. It is applied on optimizing the motion of multiple robot systems. The problem is decomposed into L subproblems with L being the number of robot systems. This decomposition reduces the problem to solving a single robot problem. The optimization problem is solved via a distributed algorithm, utilizing subgradient method. A global objective function is set as the sum of individual robot objectives in time and energy. Constraints are divided into two sets, namely, robot-individual constraints and robots’ interactions (collision) constraints. The approach is applied for the case of wheeled mobile robots: we are able to generate in parallel for each robot an optimized control input trajectory and then illustrate it in simulation examples

Immunohistochemical localization of mdm-2, p27Kip1 and bcl-2 in Warthin's tumor of the parotid gland

<p>Abstract</p> <p>Background</p> <p>Warthin's tumor is a benign monomorphic adenoma with unclear origin that almost occur exclusively in the parotid gland. Etiology of Warthin's tumor as well as its malignant potential are still unclear. Therefore immunohistochemical assessment of Warthin's tumor may be useful to detect its origin or its malignant transformation potential.</p> <p>Aims and objectives</p> <p>The present study aims to investigate the immunohistochemical expression of murine double minute-2 (mdm-2), p27^Kip1and B cell lymphoma-2 (bcl-2) in Warthin's tumor of parotid gland and also to clarify the role of these proteins in the behavior of that tumor.</p> <p>Methods</p> <p>Twenty paraffin blocks of cases previously diagnosed as Warthin's tumor were collected for immunohistochemical staining with primary antibodies against mdm-2, p27^Kip1and bcl-2 using streptavidin-biotin immunoperoxidase staining system.</p> <p>Results</p> <p>All cases showed immunopositivity for mdm-2 and p27^Kip1while 18/20 showed bcl-2 immunopositivity. Both layers of the neoplastic epithelial cells that line the cystic spaces showed immunopositivity with all antibodies used. Goblet cells were mdm-2 immunonegative while myoepithelial cells were p27^Kip-1immunonegative. Areas of epithelial proliferation that formed buds were p27^Kip-1and bcl-2 immunopositive.</p> <p>Conclusion</p> <p>Mdm-2 played a tumor-suppressor role that might be implicated with the benign behavior of Warthin's tumor. The mutual expression of both p27^Kip1and bcl-2 suggested a protective role of these slowly proliferating cells from apoptosis to maintain their survival and elevated bcl-2 expression offers a significant protection against p27^Kip1-mediated apoptosis.</p

Geodesic completeness of pseudo and holomorphic-Riemannian metrics on Lie groups

This paper is devoted to geodesic completeness of left-invariant metrics for real and complex Lie groups. We start by establishing the Euler–Arnold formalism in the holomorphic setting. We study the real Lie group SL(2, R) and reobtain the known characterization of geodesic completeness and, in addition, present a detailed study where we investigate the maximum domain of definition of every single geodesic for every possible metric. We investigate completeness and semicompleteness of the complex geodesic flow for left-invariant holomorphic metrics and, in particular, establish a full classification for the Lie group SL(2, ℂ).The first author was financed by FCT - Fundação para a Ciência e Tecnologia, I.P. (Portugal) - through the PhD scholarship PD/BD/143019/2018. The second author was partially supported by FCT, Portugal through the sabbatical grant SFRH/BSAB/135549/2018 and through CMAT, Portugal under the project UID/MAT/00013/2013. The third author was partially supported by CMUP, Portugal, member of LASI, which is financed by national funds through FCT under the project UIDB/00144/2020 and also by CIMI, France through the project “Complex dynamics of group actions, Halphen and Painlevé systems”. Finally, all three authors benefited from CNRS (France) support through the PICS project “Dynamics of Complex ODEs and Geometry”