We show how mathematical methods from complex systems can be used both as metaphors and mathematical equations to understand the nature of conflicts between individuals, groups, and nations and present novel methods for their resolution. The metaphorical approaches have been successful used as training materials for practical applications in conflict management. The mathematical model allows us...

We outline the new approach to a characterization as well as to classification of positive maps. Our approach is based on the facial structures of the set of states and the cone of positive maps. The obtained characterization of positive maps is applied to a discussion on quantum correlations and entanglement. Mathematical Subject Classification: Primary: 46L53, 46L60: Secondary: 46L45, 46L30

the potential and performance of various gram-negative, gram-positive and archaeal wild type microorganisms, and bacterial mixed cultures, as well as the application of genetically engineered strains as whole-cell biocatalysts for glycerol-based polyhydroxyalkanoate production are analyzed and assessed. this encompasses the comparison of growth and polyhydroxyalkanoate accumulation kinetics, th...

Automatic mathematical solution assessment checks the equivalence of mathematical expressions in the user answer and standard solution. It is a challenging problem as the semantics of mathematical expressions are highly symbolic and equivalent mathematical expressions can be expressed in different forms. In this paper, we propose an effective Probabilistic Equivalence Verification (PEV) approac...

Positive maps are essential in the description of quantum systems. However, characterization structure set all positive is a challenge mathematics and mathematical physics. We construct linear map from M4 to M5 state conditions under which they completely (copositivity positive).

We describe an implementation of nonsymmetric interior-point methods for linear cone programs defined by two types of matrix cones: the cone of positive semidefinite matrices with a given chordal sparsity pattern and its dual cone, the cone of chordal sparse matrices that have a positive semidefinite completion. The implementation takes advantage of fast recursive algorithms for evaluating the ...

a simulation-based optimization approach for the purpose of finding a near-optimal answer can be efficient and effective. In the present paper, first, the mathematical model for the project activity scheduling problem has been presented with a job shop approach. Then, using the Arena 14 software, the simulation model has been designed. Consequently, a numerical example has been solved via runni...

In mathematical models of concept learning it has consistently been assumed that positive reinforcement cannot lead to a change of the hypothesis determining the overt response. When hypotheses are experimentally identified and recorded along with positive and negative reinforcements of stimulus-response pairs, it can be shown that hypotheses may change after a positive reinforcement. Positive ...

In what follows we develop a mathematical model to describe the signaling and transcriptional network dynamics by which negative and positive feedback loops regulate cytokinin signaling and WUS expression. The main focus of the model is to explore several hypotheses, as to how WUS induction occurs as a function of cytokinin signaling and to understand how individual feedback loops contribute to...