The primary aim of this paper is to define new concepts, A homogenous system difference equations called -semi order if there exists a non-zero matrix

ABSTRACT There are various useful metrics for finding the distance between two points in Euclidean space. Metrics for finding the distance between two rigid body locations in Euclidean space depend on both the coordinate frame and units used. A metric independent of these choices is desirable. This paper presents a metric for a finite set of rigid body displacements. The methodology uses the pr...

We consider the construction of geometric integrators in the class of RKMK methods. Any di erential equation in the form of an in nitesimal generator on a homogeneous space is shown to be locally equivalent to a di erential equation on the Lie algebra corresponding to the Lie group acting on the homogenous space. This way we obtain a distinction between the coordinate-free phrasing of the di er...

in this paper, an analytical solution for computing the linear plastic stresses and critical temperature and pressure in a fgm hollow cylinder under the internal pressure and temperature is developed. it has been assumed that the modulus of elasticity and thermal coefficient of expansion were varying through thickness of the fgm material according to a power law relationship. the poisson's...

amidoalkyl-2-naphthols as synthetic intermediates play an important role in medicinal chemistry due to their remarkable biological and many pharmacological properties. owing to the versatile biological activities, industrial and synthetic applications of these compounds, introduction of an alternative methodology is urgent in synthetic organic chemistry. low yield and harsh reaction conditions ...