A d-dimensional Perfect Factor is a collection of periodic arrays in which every k-ary (n1×· · ·×nd) matrix appears appears exactly once (periodically). The one dimensional case, with a collection of size one, is known as a De Bruijn cycle. The 1and 2-dimensional versions have proven highly applicable in areas such as coding, communications, and location sensing. Here we focus on results in hig...

We review recent results in the matrix model approach to the 2-d noncritical string theory compactified in time, in the phase of condensation of the world sheet vortices (above the Berezinski-Kosterlitz-Thouless phase transition) [1, 2, 3]. This phase is known to describe strings on the 2-d black hole background, due to the conjecture of V.Fateev, A. and Al.Zamolodchikov. The corresponding matr...

The field-dependent magnetization m(H,T ) of 1and 2-dimensional classical magnets described by the D-component vector model is calculated analytically in the whole range of temperature and magnetic fields with the help of the 1/D expansion. In the 1-st order in 1/D the theory reproduces with a good accuracy the temperature dependence of the zero-field susceptibility of antiferromagnets χ with t...

The locus coeruleus–noradrenergic system exerts an activating influence on forebrain neuronal and behavioral activity states, in part through the actions of noradrenergic -receptors in the medial septal (MS) and medial preoptic (MPOA) areas. MPOA 1-receptors exert similar wake-promoting actions. The current study examines the influence of 1-receptors located within MS on sleep–wake state. In ad...

We report an experimental and theoretical study to optimize the geometry of far-IR photoconductive detectors with diffraction-limited throughput. Factors considered in this optimization include internal optical path relative to measured absorption length, photoconductive gain, uniformity of illumination, cosmic ray cross section, and compatibility of the design with the requirements of 1and 2-D...

Four new prenylxanthones, emerixanthones A-D (1-4), together with six known analogues (5-10), were isolated from the culture of the deep-sea sediment derived fungus Emericella sp. SCSIO 05240, which was identified on the basis of morphology and ITS sequence analysis. The newstructures were determined by NMR (1H, 13C NMR, HSQC, HMBC, and 1H-1H COSY), MS, CD, and optical rotation analysis. The ab...

We examine the issue of duality both in electrodynamics and in Kalb–Ramond— scalar axion systems. InD spacetime dimensions the dual abelian theories of p−1and D− p− 1-form potentials have vacua classified by the dimensions of the cohomology spaces Hp−1( (D−1)M) orHD−p−1( (D−1)M) respectively. The vacua are characterized by topological charges which are expectation values for generalized ‘Wilson...

This thesis presents a new method to construct smooth land 2-form subdivision schemes over the 3D volumetric domain. Based on the subdivided 1and 2-form coefficient field, smooth vector fields can be constructed using Whitney forms. To obtain stencils in the regular setting, classical 0-form subdivision and linear 1and 2-form subdivision over the octet mesh are introduced. Then, convoluting wit...