We construct some examples of finite and infinite crystalline three-dimensional nets derived from symmetric reticulations of homogeneous two-dimensional spaces: elliptic (S (2)), Euclidean (E (2)) and hyperbolic (H (2)) space. Those reticulations are edges and vertices of simple spherical, planar and hyperbolic tilings. We show that various projections of the simplest symmetric tilings of those...

BACKGROUND This study examined the nature of ecological associations between 'religiousness' and suicide rates (1985-1994) in the 11 provinces in the Netherlands. METHODS Indices of religiousness, obtained from a nationwide survey, were used as aggregate predictors of provincial suicide rates in weighted linear regressions, and as individual-level predictors of suicide acceptance in logistic ...

Studies extending across multiple life stages promote an understanding of factors influencing health across the life span. Existing work has largely focused on individual-level rather than area-level early life determinants of health. In this study, we linked multiple data sets to examine whether early life state-level characteristics were predictive of health and mortality decades later. The s...

Given an aane projection : P ! Q of a d-polytope P onto a polygon Q, it is proved that the poset of proper polytopal subdivisions of Q which are induced by has the homotopy type of a sphere of dimension d ? 3 if maps all vertices of P into the boundary of Q. This result, originally conjectured by Reiner, is an analogue of a result of Billera, Kapranov and Sturmfels on cellular strings on polyto...

This paper deals with precise mapping properties of the Bergman and Szegö projections of pseudo-convex domains of finite type in C whose Levi form are locally diagonalizable at every point of the boundary (see Section 2 for a precise definition). We obtain sharp estimates for these operators for usual Lpk Sobolev spaces, classical Lipschitz spaces Λα and nonisotropic Lipschitz spaces Γα related...

In the study of pattern formation in symmetric physical systems, a three-dimensional structure in thin domains is often modelled as a two-dimensional one. This paper is concerned with functions in {\bb R}^{3} that are invariant under the action of a crystallographic group and the symmetries of their projections into a function defined on a plane. A list is obtained of the crystallographic group...

We present several Orientifolds of M-Theory on K 3 × S 1 by additional projections with respect to the finite abelian automorphism groups of K 3. The resulting models correspond to anomaly free theories in six dimensions. We construct explicit examples which can be interpreted as models with eight, four, two and one vector multiplets and N = 1 supersymmetry in six dimensions.

We use spectral methods of automorphic forms to establish a holomorphic projection operator for tensor products of vector-valued harmonic weak Maass forms and vector-valued modular forms. We apply this operator to discover simple recursions for Fourier series coefficients of Ramanujan's mock theta functions.

The accuracy performance of fringe projection profilometry (FPP) depends on accurate phase-to-height (PTH) mapping and system calibration. The existing PTH mapping is derived based on the condition that the plane formed by axes of camera and projector is perpendicular to the reference plane, and measurement error occurs when the condition is not met. In this paper, a new geometric model for FPP...

Competing mechanism games can have many equilibrium outcomes when mechanism designers can use mechanisms which ask agents to report deviations. Existing folk theorems assume agents have perfect information about designers’ mechanisms, that they can costlessly convey very complex messages, and that they use weakly dominated strategies. This paper addresses two questions. The first is whether the...