Following the recent work of Connes, Douglas and Schwarz, we study the M(atrix) model compactified on a torus with a background of the three-form field. This model is given by a super Yang-Mills theory on a quantum torus. To consider twisted gauge field configurations, we construct twisted U(n) bundles on the quantum torus as a deformation of its classical counterpart. By properly taking into a...

Lattice numerical simulations for planar closed random walks and their winding sectors are presented. The frontiers of the random walks and of their winding sectors have a Hausdorff dimension dH = 4/3. However, when properly defined by taking into account the inner 0-winding sectors, the frontiers of the random walks have a Hausdorff dimension dH ≈ 1.77.

Lattice numerical simulations for planar closed random walks and their winding sectors are presented. The frontiers of the random walks and of their winding sectors have a Hausdorff dimension dH = 4/3. However, when properly defined by taking into account the inner 0-winding sectors, the frontiers of the random walks have a Hausdorff dimension dH ≈ 1.77.

Multiple coupled circuit modeling (MCCM) of squirrel-cage induction motors (SCIMs), or winding function approach is the most detailed and complete analytical model used to analyze the performance of faulty SCIMs. Already, in variate papers this approach was used to 3phases SCIMs, but this paper extends the above-mentioned model to 6phases SCIMs. Various simulations of variative faults are carri...

We obtain the solutions and explicitly calculate the energy for a class of two-spin semiclassical string states in the Lunin-Maldacena background. These configurations are the β-deformed versions of the folded string solutions in AdS5 × S background. They correspond to certain single trace operators in the N = 1 superconformal β deformation of N = 4 Yang-Mills. We calculate the one loop anomalo...

A winding angle summation approach to the point-in-polygon problem is considered. The winding angle summation is backward stable and resistant to possible gaps between subsequent edges. A precomputed bounding volume hierarchy can be used to accelerate point queries for winding angle summation. The main theorem states that a BVH-accelerated point query takes no longer than O ( K log n K ) time i...

A new consolidation method for the laser-assisted filament winding of thermoplastic prepregs is discussed: for the first time a diode laser is used, as well as long glass fiber reinforced polypropylene prepregs. A consolidation apparatus was built by means of a CNC motion table, a stepper motor and a simple tensioner. Preliminary tests were performed in a hoop winding configuration: only the wi...

String configurations with nonzero winding number describe soliton string states. We compute the Veneziano amplitude for the scattering of arbitrary winding states and show that in the large radius limit the strings always scatter trivially and with no change in the individual winding numbers of the strings. In this limit, then, these states scatter as true solitons.

The constant winding tension can make the filament arranged in order. The stress distribution between the filament balance fully gives play to the enhancement of filament, and increases the intensive workload of the composite winding material. This paper conducts the mechanical analysis for the unwinding roller and tension measuring roller of the cylindrical winding machine so that gets the mec...