We introduce the concept of parallelism in diagram geometry, we apply it to a new gluing concept that provides geometries of higher rank, we combine it with another recent extension procedure for geometries and collect many examples solving existence questions for geometries over specified diagrams.

A diagram that shows at a glance the social network and support of patients was found useful in a follow-up study of patients with strokes. We believe that the diagram would prove valuable in medical case records and should be an essential part of medical-social reports, particularly for patients at risk of losing their independence.

Patellofemoral joint instability is a complex clinical problem. It may be a consequence of pre-existing anatomical abnormality or trauma. The objectives of this study were to use experimental mechanics to measure patellar stability and to quantify the effects of pathological abnormalities on patellar stability in vitro. Eight fresh-frozen cadaver knees were studied. The patellar stability was m...

<span lang="EN-US">The strength of the model-driven architecture (MDA) lies in its use models and diagrams process visualizing developing information systems companies, that is why we chose business model notations (BPMN) due to simplicity symbols clarity so all simple users within organization can understand their needs goals quickly smoothly. In our paper, suggested connect categories s...

In a diagram editor, one can distinguish initial from incremental diagram layout. The former computes a diagram layout from scratch, whereas the latter adjusts an existing layout after diagram modifications. In previous work, we have proposed a pattern-based approach as a solution for incremental diagram layout in visual language editors. Each LP encapsulates certain layout behavior. A diagram’...

For an oriented virtual link, L.H. Kauffman defined the f polynomial (Jones polynomial). The supporting genus of a virtual link diagram is the minimal genus of a surface in which the diagram can be embedded. In this paper we show that the span of the f -polynomial of an alternating virtual link L is determined by the number of crossings of any alternating diagram of L and the supporting genus o...

Given a set of spheres in 3D, constructing its Voronoi diagram in Euclidean distance metric is not easy at all even though many mathematical properties of its structure are known. This Voronoi diagram has been known for many important applications from science and engineering. In this paper, we characterize the Voronoi diagram of spheres in three-dimensional Euclidean space, which is also known...

Constructing phase diagram and its subsequent quality lines for lean gas condensate reservoirs is always crucial and challenging topic in reservoir fluid studies. Due to small amounts of liquid drop-outs in lean gas condensates at reservoir conditions, full experimental tracking of phase diagram and its relevant quality lines is almost impossible for lean gas condensates.On the other hand, ...

The concept mapping and the Vee diagram are important tools for improving the level of conceptual learning of mathematics in all educational levels that can play an important role in the learner's achievement. The purpose of this study is to use a concept mapping and Vee diagram, to calculate the volume of an object by the integral, includes the reaction of what a teacher really knows, the way ...