This paper presents the numerical elastic solution for a real problem, functionally graded chamber of hydraulic gear pumps under internal pressure. Because of the similarity and complexity for the considering geometry, a bipolar cylindrical coordinate system is used to extract the governing equations. The material properties are considered to vary along the two tangled circles with a power-law ...

Theoretical Model To design a simple teardrop-shaped membrane, two circles with radii of 2 mm and 0.5 mm, were connected by tangent lines. The two circles were spaced as much as 5 mm apart, from center to center. The shape of the chamber underneath the teardrop-shaped membrane was also the same as that of the membrane. The thickness of the membrane and the height of the chamber were 20 μm and 2...

Implicit locus equations in GeoGebra allow the user to do experiments with generalization of concept ellipses, namely n-ellipses. By experimenting we obtain a geometric object that is very similar set two circles. We show they are not circles and highlight importance symbolic verification.

A tangled-diagram over [n] = {1, . . . , n} is a graph of degree less than two whose vertices 1, . . . , n are arranged in a horizontal line and whose arcs are drawn in the upper halfplane with a particular notion of crossings and nestings. Generalizing the construction of Chen et.al. we prove a bijection between generalized vacillating tableaux with less than k rows and knoncrossing tangled-di...

In this paper we show how to express RNA tertiary interactions via the concepts of tangled diagrams. Tangled diagrams allow to formulate RNA base triples and pseudoknotinteractions and to control the maximum number of mutually crossing arcs. In particular we study two subsets of tangled diagrams: 3-noncrossing tangled-diagrams with l vertices of degree two and 2-regular, 3-noncrossing partition...

background: the indispensable use of agrochemicals has created serious threats for earthworms abundance and their population therefore, several earthworm protocols have gained acceptance for use in tests to assess the effects of soil chemicals on soil organisms. dichlorovos, an organophosphorus pesticide, is one of the widely used pesticides in agricultural fields of m.p., central india. the ai...

A lot of different composition mechanisms claim to permit aspect-oriented software development because they are able to handle the problem of tangled code which was the original target of aspect-oriented programming (AOP). However, it becomes hard to compare those different approaches, because they usually focus on different kinds of tangled code. For comparing different approaches it is necess...