Class formations III

Generalized class formations and higher class field theory

Kato established higher local reciprocity map (see section 5 and [K1, Th. 2 of §6] (two-dimensional case), [K2, Th. II], [K3, §4]) using in particular this theorem. In this section we deduce the reciprocity map for higher local fields from this theorem and Bloch–Kato’s theorem of section 4. Our approach which uses generalized class formations simplifies Kato’s original argument. We use the nota...

Fossil Reptilia of the Liassic Formations . Chapter III . Order ―

Inthe year 1858 a few fragmentary fossils of limb-bones were submitted to my inspection by James Harrison, Esq., of Charmouth, Dorsetshire, obtained from the upper part of the "lower Lias," near that place. They included portions of a femur and of a tibia, in which the texture of the wall and the size of the cavity of the shaft showed them to have been parts of a Saurian of more terrestrial hab...

Pseudo Class III malocclusion

The treatment of deep anterior crossbite is technically challenging due to the difficulty of placing traditional brackets with fixed appliances. This case report represents a none traditional treatment modality to treat deep anterior crossbite in an adult pseudo class III malocclusion complicated by severely retruded, supraerupted upper and lower incisors. Treatment was carried out in 2 phases....

Geometric Class Field Theory Iii

SURVEY ON THE SENSITIVITY AND SPECIFICITY OF BETA ANGLE IN DIFFERENTIATING SKELETAL CLASS II AND III MALOCCLUSIONS FROM CLASS I

Background & Aims: A successful treatment in the field of medical sciences depends on an accurate diagnosis. In orthodontic diagnosis and treatment planning also analyzing the sagittal jaw base relationship is important. Various methods have been suggested for this. This study aimed to investigate the accuracy of beta angle in sagittal jaw base relationship diagnosis. Materials & Methods: In t...