Algebraic methods have been successfully applied to problems arising in systems theory for a very long time now (see, e.g., [31, 65, 35, 30]). The most important reasons are the following. Algebra provides structural information about the systems under consideration, which could not be obtained by using numerical methods alone. An algebraic approach to linear control systems leads to a classifi...

We argue that the Virasoro algebra for the closed bosonic string can be cast in a form which is suitable for the limit of vanishing string tension. In this form the limit of the Virasoro algebra gives the null string algebra. The anomalous central extension is seen to vanish as well when T → 0.

Developing human-centered agent architectures requires the integral consideration of architectural flexibility, teamwork adaptability, and context reasoning capability. With the integration of various forms of team intelligence including shared teamwork process and progress, dynamic context management and information dependency reasoning, and recognition-primed collaborative decision mechanism,...

It is shown that Nambu dynamics can be generalized to any number of dimensions by replacing the 0(3) algebra, a prominent feature of Nambu's formulation, by an arbitrary Lie algebra. For the infinite dimensional algebra of rotations in phase space one obtains quantum mechanics in the Weyl-Wigner representation from the generalized Nambu dynamics. Also, this formulation can be cast into a canoni...

Renormalization is cast in the form of a Lie algebra of matrices. By exponentiation, these matrices generate counterterms for Feynman diagrams with subdivergences. The matrices are triangular, and in general infinite. As representations of an insertion operator, the matrices provide explicit representations of the Connes-Kreimer Lie algebra. In fact, the right-symmetric nonassociative algebra o...

We cast the q-rotor in the framework of Barnett-Pegg theory for rotation angle, whose underlying algebra is SUq(2). A new method to fix the deformation parameter from the theory is suggested. We test our ideas by fitting rotational spectra in deformed even-even and superdeformed nuclei. The results are in good agreement with the previous phenomenological applications of q-rotor model.

In recent years, model theory has had remarkable success in solving important problems. Its importance lies in the observation that mathematical objects can be cast as models for a language. Ultraproduct is a method of constructing a new model from a family of models, In this paper, we deal with a new form of ultraproduct model for first-order lattice-valued logic LF(X) whose truth-value field ...

Decision-making is a crucial aspect of emergency response during mass casualty incidents (MCIs). MCIs require rapid decisions to be taken by geographically-dispersed teams in an environment characterized by insufficient information, ineffective collaboration and inadequate resources. Despite the increasing adoption of decision support systems in healthcare, there is limited evidence of their va...