This study examined the relation between religiosity and parenting. 311 parents from the Flemish-speaking part of Belgium completed the Post-critical Belief Scale and reported on their style of parenting. Scores for religiosity (as measured by the Exclusion vs Inclusion of Transcendence dimension) were not significantly correlated with parenting styles. In contrast, the way in which religious c...

For the Spencer δ-cohomologies of a symbolic system we construct a spectral sequence associated with a subspace. We calculate the sequence for the systems of Cohen-Macaulay type and obtain a reduction theorem, which facilitates computation of δ-cohomologies by reducing dimension of the system. Using this algebraic result we prove an efficient compatibility criterion for a system of two scalar n...

A ‘symbolic dynamical system’ is a continuous transformation Φ : X−→X of closed perfect subset X ⊆ A, where A is a finite set and V is countable. (Examples include subshifts, odometers, cellular automata, and automaton networks.) The function Φ induces a directed graph structure on V, whose geometry reveals information about the dynamical system (X ,Φ). The ‘dimension’ dim(V) is an exponent des...

A symbolic analysis of observed time series requires a discrete partition of a continuous state space containing the dynamics. A particular kind of partition, called "generating," preserves all deterministic dynamical information in the symbolic representation, but such partitions are not obvious beyond one dimension. Existing methods to find them require significant knowledge of the dynamical ...

Let ( , σ ) be the one-sided shift space onm symbols. For any x = (xi)i 1 ∈ and positive integer n, define Rn(x) = inf{j n : x1x2 · · · xn = xj+1xj+2 · · · xj+n}. We prove that for each pair of numbersα, β ∈ [0,∞] withα β, the following recurrent set Eα,β = { x ∈ : lim inf n→∞ logRn(x) n = α, lim sup n→∞ logRn(x) n = β } has Hausdorff dimension one. AMS classification scheme number: 28A80

The importance of the symbolic properties of goods has been explored among adult consumers, but there have been less attention given to the symbolic consumption of young people. This study explores the subject of symbolic consumption with specific reference to mobile phone devices in the teenage market. Thirty-two young people were interviewed and age and sex variations are considered among fou...

We show that Bowen’s equation, which characterises the Hausdorff dimension of certain sets in terms of the topological pressure of an expanding conformal map, applies in greater generality than has been heretofore established. In particular, we consider an arbitrary subset Z of a compact metric space and require only that the lower Lyapunov exponents be positive on Z, together with a tempered c...

The Hausdorff distance between two sets of curves is a measure for the similarity of these objects and therefore an interesting feature in shape recognition. If the curves are algebraic computing the Hausdorff distance involves computing the intersection points of the Voronoi edges of the one set with the curves in the other. Since computing the Voronoi diagram of curves is quite difficult we c...