We describe a uniied framework for representing and manipulating binary topological relationships between complex regions, which are arbitrary compositions of homogeneous 2-dimensional surfaces, possibly with holes. Previously, compositions of regions and regions with holes were treated separately and in a restrictive scenario, where it is required that the… (More)
Motor units comprise a pre-synaptic motor neuron and multiple post-synaptic muscle fibers. Many movement disorders disrupt motor unit contractile dynamics and the structure of sarcomeres, skeletal muscle's contractile units. Despite the motor unit's centrality to neuromuscular physiology, no extant technology can image sarcomere twitch dynamics in live… (More)
We are given a set of n d-dimensional (possibly intersecting) isothetic hyperrectangles. The topic of this paper is the separation of these rectangles by means of a cutting isothetic hyperplane. Thereby we assume that a rectangle which is intersected by the cutting plane is cut into two non-overlapping hyperrectangles. We investigate the behavior of several… (More)
Using ⋆-product on Co-adjoint orbits (K-orbits) of the MD 4-groups we obtain quantum half-planes, quantum hyperbolic cylinders, quantum hyper-bolic paraboloids...via Fedosov deformation quantization. From this we have corresponding unitary representations of the MD 4 which are neither nilpotent nor exponential , we obtain the explicit formulas.
In the Ring Star Problem(RSP) the aim is to locate a simple cycle through a subset of vertices of a graph with the objectives of minimizing the sum of two costs: a routing cost proportional to the length of the cycle, and an assignment cost from the vertices not in the cycle to their closest vertex on the cycle. The cycle must pass through some central… (More)
Percutaneous gastrostomy is a well-established method of providing enteral nutrition to patients incapable of oral intake, or for whom oral intake is insufficient to meet metabolic needs. In comparison to total parenteral nutrition, enteral feeding is advantageous in that it helps maintain gut mucosal integrity, which decreases the risk of bacterial… (More)