In this study the effects of machining parameters such as shearing speed, feed rate, tool diameter and machining depth on different milling strategies i.e. 3D offset, spiral, raster and radial to produce the convex surface made of epoxy/glass composites is investigated. The effects of mentioned strategies on output parameters such as surface roughness and milling removal rate is also studied. T...

• Sd: A d-Simplex The simplest convex polytope in R. A d-simplex is always the convex hull of some d + 1 affinely independent points. For example, a line segment is a 1− simplex i.e., the smallest convex subspace which contains two points. A triangle is a 2 − simplex and a tetrahedron is a 3− simplex. • P: A Simplicial Polytope. A polytope where each facet is a d− 1 simplex. By our assumption, ...

let $g=(v,e)$ be a simple graph. a set $dsubseteq v$ is adominating set of $g$ if every vertex in $vsetminus d$ has atleast one neighbor in $d$. the distance $d_g(u,v)$ between twovertices $u$ and $v$ is the length of a shortest $(u,v)$-path in$g$. an $(u,v)$-path of length $d_g(u,v)$ is called an$(u,v)$-geodesic. a set $xsubseteq v$ is convex in $g$ ifvertices from all $(a, b)$-geodesics belon...

let $g=(v,e)$ be a simple graph. a set $dsubseteq v$ is adominating set of $g$ if every vertex in $vsetminus d$ has atleast one neighbor in $d$. the distance $d_g(u,v)$ between twovertices $u$ and $v$ is the length of a shortest $(u,v)$-path in$g$. an $(u,v)$-path of length $d_g(u,v)$ is called an$(u,v)$-geodesic. a set $xsubseteq v$ is convex in $g$ ifvertices from all $(a, b)$-geodesics belon...

We describe a detailed computational procedure which, given data values at arbitrarily distributed points in the plane, determines if the data are convex and, if so, constructs a smooth convex surface that interpolates the data. The method consists of constructing a triangulation of the nodes (data abscissae) for which the triangle-based piecewise linear interpolant is convex, computing a set o...

BACKGROUND The effect of reaming on bone volume and surface area of the glenoid is not precisely known. We hypothesize that (1) convex reamers create a larger surface area than flat reamers, (2) flat reamers cause less bone loss than convex reamers, and (3) the amount of bone loss increases with the amount of version correction. METHODS Reaming procedures with different types of reamers are p...