This paper investigates the following question: Given an integer grid , where is a proper subset of the integer plane or a proper subset of the integer 3d space, which graphs admit straight-line crossing-free drawings with vertices located at the grid points of ? We characterize the trees that can be drawn on a two dimensional c n k grid, where k and c are given integer constants, and on a two ...

STUDY DESIGN Two-factor, mixed experimental design. OBJECTIVES To compare movement patterns of subjects who are anterior cruciate ligament (ACL) deficient and classified as noncopers to controls during early stance of anticipated and unanticipated straight and cutting tasks. BACKGROUND Altered neuromuscular control of subjects that are ACL deficient and noncoper theoretically influences mov...

background dialysis vascular access complications are considered as significant causes of morbidity in chronic hemodialysis patients. objectives the aim of the present study was a comparison of axillary loop and straight grafts patency and its complications in hemodialysis access. patients and methods in this cohort study conducted at shahid beheshti medical university, 77 patients who underwen...

a detailed knowledge of root canal anatomy is a prerequisite for successful endodontic treatment. such information is highly dependent upon the ethnicity of the population of interest. lack of sufficient national information concerning internal anatomy can lead clinicians to increase their rate of treatment success. the aim of this study was to evaluate external root morphology and root canal a...

Researchers have begun to explore and identify various gradations in sexual orientation identity, paying attention to alternative sexual identity categories and attempting to clarify potential subtypes of same-sex sexuality, particularly among women. This study utilizes both quantitative and qualitative data to explore the behavioral experiences and identity development processes among women of...

In digital geometry, objects such as digital straight lines can be considered as equivalent classes of Euclidean straight lines with respect to a digitization process. This paper investigates the analysis of the set of straight lines whose digitization is a given digital straight segment with the help of tools from integral geometry. After a definition of a measure on such sets, we illustrate s...

A practical application of the spherical involute surface to the forged straight bevel gears is provided and demonstrated in this work. Conjugate (pure involute) theoretical surfaces are developed from the input design parameters. The surfaces are modified to suit the actual application (automotive differential). The unloaded (or low load) tooth contact analysis of modified surfaces is performe...

(1) Each pair of points can be joined by one and only one straight line segment. (2) Any straight line segment can be indefinitely extended in either direction. (3) There is exactly one circle of any given radius with any given center. (4) All right angles are congruent to one another. (5) If a straight line falling on two straight lines makes the interior angles on the same side less than two ...

Introduction: The straight skeleton of a polygon in 2D was first defined by Aichholzer et al. [2]. It is the geometric graph whose edges are the traces of vertices of shrinking mitered offset curves of the polygon, see Figure 1, left. Straight skeletons are a versatile tool in computational geometry and have found applications in diverse fields of industry and science. E.g., Tomoeda et al. use ...

We consider the question under which circumstances the straight skeleton and the Voronoi diagram of a given input shape coincide. More precisely, we investigate convex distance functions that stem from centrally symmetric convex polyhedra as unit balls and derive sufficient and necessary conditions for input shapes in order to obtain identical straight skeletons and Voronoi diagrams with respec...