Abstract Symmetry considerations are taken into account when a particle in square well potential is studied. This system may display natural degeneracy, accidental degeneracy or systematic depending on the depth of potential. In order to obtain solutions associated with an arbitrary algebraic discrete variable representation approach based Pöschl-Teller functions proposed. It proved that geomet...

fullerene chemistry is nowadays a well-established field of both theoretical and experimental investigations‎. this study considers the symmetry of small fullerenes cage c24 and c28‎. ‎using pm3 program for c24 and c28 fullerenes, oh and td symmetry were confirmed, respectively‎. ‎ the mentioned algorithm to compute the automorphism group of these fullerenes with connectivity and geometry of th...

introduction: anthropology is the science of body sizes evaluation in living people which is applied in both medical and non-medical professions. the main purpose of the study is the evaluation of foot growth from birth to the age of 10 in folk fars girls of birjand and to make an archive of the data and to study symmetry based on anthropometry and dermatoglyphy. methods: in this study, the foo...

The analysis of symmetry is a main principle in natural sciences, especially physics. For network sciences, for example, in social sciences, computer science and data science, only a few small-scale studies of the symmetry of complex real-world graphs exist. Graph symmetry is a topic rooted in mathematics and is not yet well-received and applied in practice. This article underlines the importan...

Symmetry is an important mechanism by which we identify the structure of objects. Man-made objects, plants and animals are usually highly recognizable from the symmetry, or partial symmetries that they often exhibit. Two difficulties found in most symmetry detection algorithms are firstly, that they usually require objects to be segmented prior to any symmetry analysis, and secondly, that they ...

The chaos theory emerged at the end of the 19th century, and it has given birth to a deep mathematical theory in the 20th century, with a strong practical impact (e.g., weather forecast, turbulence analysis). Periodic orbits play a key role in understanding chaotic systems. Their rigorous computation provides some insights on the chaotic behavior of the system and it enables computer assisted p...