1 Billiards and related systems 1.1 Polygonal outer billiards in the hyperbolic plane The outer billiard about a convex polygon P in the plane R 2 is a piece-wise isometry, T , of the exterior of P defined as follows: given a point x outside of P , find the support line to P through x having P on the left, and define T (x) to be the reflection of x in the support vertex. See [10, 35]. Figure 1:...

a vast number of organizational projects as well as complexity of decision making process can cause particular challenges for project management and its leadership. in order to use organization assets and opportunities efficiently, it is necessary that manager implement a comprehensive multidimensional project portfolio management system that considers economic, social and technical details of ...

Novel Biomaterials for Cell Transfection and Extracellular Matrices Marie-Caline Abadjian Mentor: Zhibin Guan In the area of biomaterials research, our group focuses on the design of new and improved material systems derived from naturally abundant building blocks (carbohydrates and peptides). In using these starting materials we have synthesized biomaterials with: 1) rich functionality, making...

For many cases, grading and prioritizing the projects are so important in project-based organizations. In fact, it means prioritizing some projects and allocating organizational resource only to those projects to reach the organization profit up to maximum level through such allocation and decision. There are many different factors contribute in choosing the best project combination for organiz...

Instructions: In the final project you will apply the numerical methods developed in the class to a problem in finance or physics and engineering. For your assigned project you are to write a report which answers each of the stated questions. For the numerical solutions, you are to give the numerical results in the form of an appropriate table or list. All codes should be written in Matlab/Octa...

A Method to Measure Stiffness During Human Movements Human movements are generally stable due to the spring-like property of muscles. However, movements can become unstable when the limbs interact with the environment, e.g., when one lifts a weight overhead, or carves. The stiffness measured at the endpoint of the limb is indicative of this stability. I have developed a method to measure stiffn...

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Project portfolio selection is very important subject of decision-makers in project-based organizations. The best assignment of resources to the most appropriate projects is necessary as financing projects with low benefit is just waste of organization's resources. However, existing project selection models pay not much attention the structure and special features of projects as a selection cri...

Water is a basic demand of sustainable development in most regions of the world. The non-uniform temporal and spatial distribution of water resources will lead to water shortage in arid and semi-arid areas. Pishin catchment is one of the most important catchments in South-East Iran. The basin had been faced with consecutive droughts in recent years. On the other hand, water resources developmen...