# The number of contacts in a self-avoiding walk of variable radius of gyration in two and three dimensions

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We study behaviors of a compact dimension and the T-duality, in the presence of the wrapped closed bosonic strings. When the closed strings interact and form another system of strings, the radius of compactification increases. This modifies the T-duality, which we call it as T-duality-like. Some...

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The search for Universal Extra Dimensions for four values of the compactification radius in the 4e, 4Î¼ and 2e 2Î¼ channels is presented. It is shown that the CMS detector is sensitive up to R-1 = 900 GeV/cÂ² for an integrated luminosity of 30 fb-1.

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Decay rate and forwardâ€“backward asymmetries in Bâ†’K1â„“+â„“-, where K1 is the axial vector meson, are calculated in the universal extra dimension (UED) model. The dependence of these physical quantities on the compactification radius R, the only unknown parameter in UED...

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An alternative formulation for the set packing problem in a higher dimension is presented. The addition of a new family of binary variables allows us to find new valid inequalities, some of which are shown to be facets of the polytope in the higher dimension. We also consider the Winner...

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The Selberg integral (the integral of the discriminant on n variables raised to a power âˆ’Î¼/2 times the beta prefactor over the unit n-interval) is analytically extended as a function of its dimension n to the complex plane. The resulting meromorphic function is expressed in terms of the...

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Support vector machines for classification have the advantage that the curse of dimensionality is circumvented. It has been shown that a reduction of the dimension of the input space leads to even better results. For this purpose, we propose two information criteria which can be computed...

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A conformal block is a function of many variables, usually represented as a formal series with coefficients that are certain matrix elements in the chiral (i.e., Virasoro) algebra. A nonperturbative conformal block is a multivalued function defined globally over the space of dimensions and has...