This paper describes a method for computing the fundamental unit and regulator of a purely cubic congruence function field of unit rank 1. The technique is based on Voronoi’s algorithm for generating a chain of successive minima in a multiplicative cubic lattice which is used for calculating the fundamental unit and regulator of a purely cubic number field.

introduction: hospitals, like most executive agencies have scarified the importance of policy, planning and supervision with their executive actions. with their errors, they waste the resources and remain away from development and competitive arena.so during recent years the ministry of health and medical education as well as other areas, in order to make rational government size, strengthening...

There is a class of quadratic number fields for which it is possible to find an explicit continued fraction expansion of a generator and hence an explicit formula for the fundamental unit. One therewith displays a family of quadratic fields with relatively large regulator. The formula for the fundamental unit seems far simpler than the continued fraction expansion, yet the expansion seems neces...

The purpose of this paper is to investigate the real quadratic number fields $Q(sqrt{d})$ which contain the specific form of the continued fractions expansions of integral basis element  where $dequiv 2,3( mod  4)$ is a square free positive integer. Besides, the present paper deals with determining the fundamental unit$$epsilon _{d}=left(t_d+u_dsqrt{d}right) 2left.right > 1$$and  $n_d$ and $m_d...

A subsyllabic phonological unit, the antibody, has received little attention as a potential fundamental processing unit in word recognition. The psychological reality of the antibody in Korean recognition was investigated by looking at the performance of subjects presented with nonwords and words in the lexical decision task. In Experiment 1, the nonwords with a high-frequency antibody were pro...