Elliptic Elements of a Subgroup of the Normalizer and Circuits in Orbital Graphs

In this study, we investigate suborbital graphs G_{u, N} of the normalizer Gamma_B(N) of Gamma_0(N) in PSL(2, R) for N = 2^{alpha} 3^{beta} \u3e 1 where alpha = 0, 2, 4, 6, and beta = 0, 2. In these cases the normalizer becomes a triangular group. We first define an imprimitive action of Gamma_B (N) on ^Q using the group Gamma^0_C (N) and then obtain some properties of the suborbital graphs arising from this action. Finally we define suborbital graphs F_{u;N} and investigate their properties. As a consequence, we find some certain relationships between the lengths of circuits in suborbital graphs F_{u;N} and the periods of the group Gamma^0_C (N)

On congruence equations arising from suborbital graphs

In this paper we deal with congruence equations arising from suborbital graphs of the normalizer of Γ_0(m) in PSL(2,R) . We also propose a conjecture concerning the suborbital graphs of the normalizer and the related congruence equations. In order to prove the existence of solution of an equation over prime finite field, this paper utilizes the Fuchsian group action on the upper half plane and Farey graphs properties

Directed suborbital graphs on the Poincare disk

In this paper we investigate suborbital graphs of a special congruence subgroup of modular group. And this directed graphs is drawn in Poincare disk

A comment on the bianchi groups

In this paper, we aim to discuss several the basic arithmetic structure of Bianchi groups. In particularly, we study fundamental domain and directed orbital graphs for the group PSL(2;O_1)

General evaluation of suborbital graphs

In this paper, we aim to review suborbital graphs and also give an example to an extension of directed graphs

Infrared horizon sensor modeling for attitude determination and control: Analysis and mission experience

The work performed by the Attitude Determination and Control Section at the National Aeronautics and Space Administration/Goddard Space Flight Center in analyzing and evaluating the performance of infrared horizon sensors is presented. The results of studies performed during the 1960s are reviewed; several models for generating the Earth's infrared radiance profiles are presented; and the Horizon Radiance Modeling Utility, the software used to model the horizon sensor optics and electronics processing to computer radiance-dependent attitude errors, is briefly discussed. Also provided is mission experience from 12 spaceflight missions spanning the period from 1973 to 1984 and using a variety of horizon sensing hardware. Recommendations are presented for future directions for the infrared horizon sensing technology

Abstracts on Radio Direction Finding (1899 - 1995)

The files on this record represent the various databases that originally composed the CD-ROM issue of "Abstracts on Radio Direction Finding" database, which is now part of the Dudley Knox Library's Abstracts and Selected Full Text Documents on Radio Direction Finding (1899 - 1995) Collection. (See Calhoun record https://calhoun.nps.edu/handle/10945/57364 for further information on this collection and the bibliography). Due to issues of technological obsolescence preventing current and future audiences from accessing the bibliography, DKL exported and converted into the three files on this record the various databases contained in the CD-ROM. The contents of these files are: 1) RDFA_CompleteBibliography_xls.zip [RDFA_CompleteBibliography.xls: Metadata for the complete bibliography, in Excel 97-2003 Workbook format; RDFA_Glossary.xls: Glossary of terms, in Excel 97-2003 Workbookformat; RDFA_Biographies.xls: Biographies of leading figures, in Excel 97-2003 Workbook format]; 2) RDFA_CompleteBibliography_csv.zip [RDFA_CompleteBibliography.TXT: Metadata for the complete bibliography, in CSV format; RDFA_Glossary.TXT: Glossary of terms, in CSV format; RDFA_Biographies.TXT: Biographies of leading figures, in CSV format]; 3) RDFA_CompleteBibliography.pdf: A human readable display of the bibliographic data, as a means of double-checking any possible deviations due to conversion

Suborbital graphs for the normalizer of Gamma(0)(m)

In this study, we characterize all circuits in the suborbital graph for the normalizer of Gamma(0) (m) when in is a square-free positive integer. We propose a conjecture concerning the suborbital graphs. (C) 2004 Elsevier Ltd. All rights reserved

Circuits in Suborbital Graphs for The Normalizer

In this paper, we investigate suborbital graph for the normalizer of ?0(N) in PSL(2 , R) , where N will be of the form 2 23 p2, p is prime number greater than 3 and p?1(mod3). Then we give edge and circuit conditions on graphs arising from the imprimitive action of the normalizer. © 2017, Springer Japan KK