The article investigates aspects of globality with respect to music theory and especially mathematical and computer-aided music theory. The local/global dichotomy is applied (a) to the discipline such from a cultural semiotic point of view, (b) to the strategies of scientific knowledge management dogmatics, modeling and hermeneutics, and (c) to the musictheoretical discourse subjects. A detaile...

We construct global F-theory GUT models on del Pezzo surfaces in compact Calabi-Yau fourfolds realized as complete intersections of two hypersurface constraints. The intersections of the GUT brane and the flavour branes as well as the gauge flux are described by the spectral cover construction. We consider a split S[U(4)×U(1)X ] spectral cover, which allows for the phenomenologically relevant Y...

A theory of graded manifolds can be viewed as a generalization differential geometry smooth manifolds. It allows one to work with functions which locally depend not only on ordinary real variables, but also $\mathbb{Z}$-graded variables either commute or anticommute, according their degree. To obtain consistent global description manifolds, resorts sheaves commutative associative algebras secon...

in this paper, under the existence of system uncertainties, external disturbances, and input nonlinearity, global finite time synchronization between two identical attractors which belong to a class of second-order chaotic nonlinear gyros are achieved by considering a method of continuous smooth second-order sliding mode control (hoamsc). it is proved that the proposed controller is robust to m...

We present a novel constraint-partitioning approach for solving continuous nonlinear optimization based on augmented Lagrange method. In contrast to previous work, our approach is based on a new constraint partitioning theory and can handle global constraints. We employ a hyper-graph partitioning method to recognize the problem structure. We prove global convergence under assumptions that are m...