the genus onobrychis is an important forage crop consisting of approximately 130 annual and perennial species. in this study, 13 populations of five onobrychis species were analyzed. the basic chromosome number varied from x=7 to x=8. according to stebbins’ classification, populations such as o. aucheri subsp. psammophila, o. crista-galli (1) and o. crista-galli (2) were classified in symmetric...

• Symmetry analysis of differential equations: classical and nonclassical symmetries, potential symmetries, group–invariant solutions, variational symmetries and conservation laws • Applications of symmetry analysis theory to mathematical models arising in mathematical physics, mathematical biology, image processing, engineering, financial mathematics and other research fields • Geometric appro...

Dynamic symmetry is a common phenomenon in mechanical product structures, and is used for describing the regular motion process over time in mechanical systems. It plays an important role in implementing product functions, transfering and transforming movement motion, increasing the strength of product functions, expanding the scope of the functions. For the case that the lack of research about...

Background: Gait deviations may negatively affect the articular surfaces of lower extremity joints and lead to some minor degenerative changes. The simplest method for gait evaluation is assess symmetry its parameters, assuming that each undisturbed should be symmetrical. This study aims quantify degree asymmetry kinematic kinetic parameters caused by presence different ankle orthosis settings ...