Introduction: This study aimed to investigate the distribution of ethmoid roof variation and symmetry according to Keros classification.   Materials and Methods: This cross-sectional study assessed the paranasal CT scans of 600 patients over 18 years of age with no history of surgery, trauma, or localized fracture in the ethmoid, nose, and anterior skull...

We discuss here some aspects related to the symmetries of a quantum many-body problem when trying treat it on computer. Several features symmetry conservation, breaking, and possible restoration are reviewed. After briefly discussing standard relevant for many-particle systems, we advantage encoding directly in ans\"atze, especially reduce register size. It is, however, well-known that use symm...

elastic solutions applicable to single underground openings usually suffer from geometry related simplification. most tunnel shapes possess two axes of symmetry while a wide range of geometries used in tunneling practice involve only one symmetry axis. d-shape or horse-shoe shape tunnels and others with arched roof and floor are examples of the later category (one symmetry axis). in the present...

‎in this paper‎, ‎we obtain the dimensions of symmetry classes of polynomials associated with‎ ‎the irreducible characters of the dihedral group as a subgroup of‎ ‎the full symmetric group‎. ‎then we discuss the existence of o-basis‎ ‎of these classes‎.

in crooked noses, the lateral walls are different in shape and symmetry. although the septum is very important to obtain a straight nose, identical and symmetrical lateral walls are needed for a straight looking nasal dorsum. as well as the septum, lateral walls also contribute in nasal skeletal support and stability. thus, obtaining identical and symmetrical lateral walls is important. in orde...

The ground state of a system with symmetry can be described by a group G. This symmetry groupG can be discrete or continuous. Thus for a crystalG is a finite group while for the vacuum state of a grand unified theory G is a continuous Lie group. The ground state symmetry described by G can change spontaneously from G to one of its subgroups H as the external parameters of the system are modifie...

Symmetry in constraint satisfaction problems (CSPs) has been considered in two fundamentally different ways: as an operation preserving the solutions of a CSP instance, or as an operation preserving the constraints. To reflect these two views, we define solution symmetry and constraint symmetry. We discuss how these concepts are related and show that some CSP instances have many more solution s...

Assessing facial symmetry is an evolutionarily important process, which suggests that individual differences in this ability should exist. As existing data are inconclusive, the current study explored whether a group trained in facial symmetry assessment, orthodontists, possessed enhanced abilities. Symmetry assessment was measured using face and non-face stimuli among orthodontic residents and...