Dimensions of projections of sets on Riemannian surfaces of constant curvature

We apply the theory of Peres and Schlag to obtain generic lower bounds for Hausdorff dimension of images of sets by orthogonal projections on simply connected two-dimensional Riemannian manifolds of constant curvature. As a conclusion we obtain appropriate versions of Marstrand's theorem, Kaufman's theorem, and Falconer's theorem in the above geometrical settings.

The nasopalatine duct cyst: an analysis of the relation between clinical symptoms, cyst dimensions, and involvement of neighboring anatomical structures using cone beam computed tomography

This study evaluates the dimensions of nasopalatine duct cysts (NPDCs) and the involvement of neighboring anatomical structures using standardized limited cone beam computed tomography (CBCT) and a possible correlation to the patient's age, gender, preoperative symptoms, and postsurgical complications.

Bone dimensions in the posterior mandible: a retrospective radiographic study using cone beam computed tomography. Part 1--analysis of dentate sites

This retrospective radiographic study analyzed the dimensions of the alveolar bone in the posterior dentate mandible based on cone beam computed tomography (CBCT) images. A total of 56 CBCT images met the inclusion criteria, resulting in a sample size of 122 cross sections showing posterior mandibular teeth (premolars and molars). The thickness of the buccal and lingual bone walls was measured at two locations: 4 mm apical to the cementoenamel junction (measurement point 1, MP1) and at the middle of the root (measurement point 2, MP2). Further, alveolar bone width was assessed at the level of the most coronal buccal bone detectable (alveolar bone width 1, BW1) and at the superior border of the mandibular canal (alveolar bone width 2, BW2). The vertical distance between the two as well as the presence of a lingual undercut were also analyzed. There was a steady increase in buccal bone wall thickness from the first premolar to the second molar at both MP1 and MP2. BW1 at the level of the premolars was significantly thinner than that for molars. Alveolar bone height was constant for all teeth examined. For the selection of an appropriate postextraction treatment approach, analysis of the alveolar bone dimensions at the tooth to be extracted by means of CBCT can offer valuable information concerning bone volume and morphology at the future implant site.

Enquiry into the Notion of Cultural Protectionism in the Media and its Dimensions in Cyberspace

Cultural protectionism has been an element of national and foreign policies, as an extension of state sovereignty expressed both in a defensive and offensive manner. While the generic protectionist formula in the sense of restraining trade between states through measures such as import tariffs or quotas and through privileging domestic production has somewhat disintegrated over time under the rationale for free trade and the strong practical evidence of its benefits, the particular case of cultural protectionism has persevered. As we reveal in this paper, however, it has been modified, or at least its rhetoric has changed. The enquiry into the notion of cultural protectionism or cultural diversity, as the current political jargon would have it, is but one of the paper’s objectives. Its second and certainly more ambitious goal is the search for the normative dimensions of cultural diversity policies in the global digital space, asking what adjustments are needed and how feasible the entire project of diversity regulation in this environment may be. Taking into account the specificities of cyberspace and in a forward-looking manner, we propose some adjustments to current media policy practices that could better serve the goal of a sustainably diverse cultural environment.

Relation of vocational identity statuses to interest structure among Swiss adolescents

Vocational identity is one core component of identity construction in adolescence. The current study investigated whether vocational interest structure in terms of differentiation, coherence, elevation, and interest-aspiration congruence would differentiate among students in vocational identity achievement, foreclosure, moratorium, and diffusion. Swiss students at the beginning of eighth grade (N = 341) participated in the study. Groups were created using cluster analysis based on the dimensions of career exploration and career commitment, and group differences were explored with discriminant analysis. Controlling for sociodemographic variables, higher interest differentiation and elevation distinguished students in achievement/moratorium from those in diffusion. More interest elevation differentiated moratorium from foreclosure. (Contains 1 figure and 3 tables.)