We introduce a simplified model for the minimization of the elastic energy in thin shells. This model is not obtained by an asymptotic analysis. The nonlinear simplified model admits always minimizers by contrast with the original one. We show the relevance of our approach by proving that the rescaled minimum of the simplified model and the rescaled infimum of the full model have the same limit...

The constrained Hamiltonian systems admitting no gauge conditions are considered. The methods to deal with such systems are discussed and developed. As a concrete application, the relationship between the Dirac and reduced phase space quantizations is investigated for spin models belonging to the class of systems under consideration. It is traced out that the two quantization methods may give s...

In case of hepatic damage, the liver uses a unique regeneration mechanism through proliferation of hepatocytes. If this process is inhibited, bipotent oval stem cells proliferate and differentiate to hepatocytes and bile ducts, thus restoring liver mass. Although oval cell accumulation in the liver is often associated with inflammatory processes, the role of lymphocytes in oval cell-mediated he...

PURPOSE To evaluate the cement thickness around oval and circular posts luted in oval post spaces prepared with different drills/tips. METHODS Extracted premolars were endodontically treated and obturated, then randomly divided into three groups (n = 5) according to the tips/drills used for post-space preparation and to the type of fiber post luted: medium grit oval tip + oval posts, fine gri...

Say that a surface in S ⊂ R has the central plane oval property, or cpo, if • S meets some affine plane transversally along an oval, and • Every such transverse plane oval on S has central symmetry. We show that a complete, connected C surface with cpo must either be a cylinder over a central oval, or else quadric. We apply this to deduce that a complete C surface containing a transverse plane ...

introduction: the purpose of this study was to evaluate the sealing ability of 3 obturation techniques in oval-shaped canals by bacterial leakage assessment. methods: sixty mandibular incisors with oval canals were selected after providing buccolingual and mesiodistal radiographs. the teeth were sectioned at a 10 mm distance from the apex. after instrumentation, the teeth were divided into 3 gr...

Congenital anomaly of the oval window with an abnormal facial nerve course is an uncommon embryological defect, which is related to the underdevelopment of second branchial arch derivatives. Some treatments for improving hearing levels are available; these include hearing aids, vestibulotomy, neo-oval window formation, and stapes surgeries, including incudostapedotomy and malleostapedotomy. How...