In the Bodmin Tors example above, notice from Figure 14a (p.20) that the clustering structure is actually quite different from that of the Redwood Seedling example in 12a (p.12). Rather than small isolate clumps, there appear to be two large groups of points in the northwest and southwest, separated by a large empty region. Moreover, the points within each group are actually quite uniform with ...

We establish an equivalent condition to the validity of the Collatz conjecture, using elementary methods. We derive some conclusions and show several examples of our results. We also offer a variety of exercises, problems and conjectures.

introduction: comparison of the relationships and distance between maxillary root tips and   the maxillary sinus floor using oral panoramic in the dolichocephalic and brachycephalic compared to mesocephalic individuals. methods: oral panoramic images from 300 individuals were analyzed and the relationships and distance between the maxillary root tips and the sinus floor was assessed by qualitat...

The purpose of this study was to determine the effects of the Jones jig appliance on distal movement of maxillary molars and reciprocal effects on premolars and maxillary incisors. Cephalometric radiographs before and after orthodontic treatment of 72 consecutively treated patients, 46 females and 26 males, were measured to define treatment changes attributed to the Jones jig. Comparative measu...

PURPOSE This study investigated the relationship between the roots of the maxillary molars and the maxillary sinus using cone beam computed tomography (CBCT), and measured the distances between the roots of the maxillary molars and the sinus floor as well as the thickness of the bone between the root and the alveolar cortical plate. MATERIALS AND METHODS The study sample consisted of 83 patie...

introduction: knowledge of the presence of the alveolar antral artery in the lateral maxillary sinus wall is essential for surgeons who operate in this region. the purpose of this study was to investigate the correlation between alveolar antral artery diameter and lateral maxillary bony wall thickness in dentate patients.   materials and methods: thirty five cone-beam computed tomography (cbct)...

OBJECTIVE The purpose of this study was to evaluate the validity of the 3-dimensional (3D) superimposition method of digital models in patients who received treatment with rapid maxillary expansion (RME) and maxillary protraction headgear. METHODS The material consisted of pre- and post-treatment maxillary dental casts and lateral cephalograms of 30 patients, who underwent RME and maxillary p...

BACKGROUND Despite a consensus emerging that affirms that shorter epochs should be used in youth to correctly register physical activity levels in free-living conditions, little is known about its effect on children's physical activity conducted in structured periods of time. This study analyzed the effect that epoch length (1, 2, 3, 5, 10, 15, 30 and 60s) may have on different physical activit...

Ameloblastic fibroodontoma (AFO) is a rare entity of mixed odontogenic tumors and frequently arises from posterior portion of the maxilla or mandible in first two decades of life. Herein, a 35-year-old woman with a noncontributory medical history who presented with a progressive left maxillary toothache, left maxillary first molar tooth mobility, and swelling in the left maxillary molar area fo...

AIM Distal movement of maxillary molars is a reasonable but often challenging treatment alternative for patients with a dental Class II occlusion and an increased overjet or anterior crowding. One problem is that most of the conventional noncompliance devices that distally move maxillary molars lead to some anchorage loss. As such, a new appliance was designed that is connected to two coupled m...