As cloud computing services have gained popularity, users view videos on websites (e.g., YouTube) to generate high CPU resource utilization and bandwidth for video streaming data centers. However, popular videos result in power-law features to cause imbalanced resource utilization. In addition, hotspot and idle servers generate extra power consumption in data centers. Previous studies considered to satisfy the requirements of users, provide faster access rates and save power consumption. However, fewer studies considered resource utilization with different popularity videos. Therefore, this paper proposes an energy efficient virtual machine (VM) management scheme with power-law features (VMPL). VMPL predicts the resource utilization of the video in the future based on the popularity, ensures enough resources for upcoming videos, and turns off idle servers for power saving. Simulation results validated by mathematical analysis show that VMPL has the best resource utilization and the lowest power consumption compared with Nash and Best-Fit algorithms.

In this paper, we develop a physics based approach which enables users to use a brush for manipulating water. The users can drip and drag water on a non-absorbent hydrophilic surface to create water artworks. We consider factors, such as cohesive force and adhesive force, to compute the motion of water. Water drops with different shapes can be formed. We also develop a converter for converting input pictures into water-styled pictures. Our system can be applied in advertisements, movies, games, and education.

Water drops and water flows exhibit interesting motion behaviors and amazing patterns on the surfaces of objects, such as leaves of plants and glass panes. Water drops and water flows are commonly seen in a rainy day. A water drop contains a small amount of water. The motion of a water drop is affected by various factors, including gravity, surface tension, cohesion force and adhesion [Zhang et al. 2012]. The situation is more complicated when we consider the roughness of the surface, surface purities and etc. Kaneda et al. [1993] proposed a discrete model of a glass plate for simulating the streams from the water droplets. The glass plate is divided into a grid. A water droplet is represented as a particle. The law of conservation of momentum is applied for merging droplets. A simple ray tracing technique is adopted for rendering the water droplets that are represented as spheres.