We study the effective action of the heterotic string compactified on particular half-flat manifolds which arise in the context of mirror symmetry with NS-NS flux. We explicitly derive the superpotential and Kähler potential at lowest order in α by a reduction of the bosonic action. The superpotential contains new terms depending on the Kähler moduli which originate from the intrinsic geometric...

The half-tone lithography using pixilated chromium masks in a projection stepper is an established technology in microoptics fabrication. However, the projection lithography tool is comparably expensive and the achievable lateral resolution is typically limited. By using pixel diffraction effects, binary and continuous profile lithography with submicron resolution can be installed on a conventi...

This paper is of an investigation of symmetric 2 (v, k,'x) designs such that the point set and the block set can each be halved to give a tactical decomposition. We assume that there is a group of automorphisms of the design of order v /2 which has two orbits of points, each of length v /2. Only the identity fixes a point, and we say that such a group acts half-regularly on the design. The desi...

In 2011, Beaton et al. analytically proved that the number of directed columnconvex permutominoes of size n is given by (n+ 1)!/2. In this paper, we provide a different proof of this statement using a bijective method. More precisely, we present a bijective correspondence between the class Dn of directed column-convex permutominoes of size n and a set of permutations (called dcc-permutations) o...

In this paper, we proposed a new type of seed for Blast-like homology search tools called "half seed''. This new seed is better than the "consecutive seed'' used by the original Blast tools in both sensitivity and efficiency. When compared with the "gapped seed'', which is proposed together with a new Blast-like searching tool, PatternHunter, this new seed offers a much wider range of choices f...

GoRLiN, R. J., VICKERS, R. A., KELLN, E., and WILLIAMSON, J. J., 'Multiple basal-cell nevi syndrome. An analysis of a syndrome consisting of multiple nevoid basal-celled carcinoma, jaw cysts, skeletal anomalies, medulloblastoma, and hyporesponsiveness to parathormone', Cancer, 1965, 18, 89. HOWELL, J. B., ANDERSON, D. E., and MCCLENDON, J. L., 'The basal cell nevus syndrome', J. Am. med. Ass., ...