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We present a geometric proof of the addition formulas for the hyperbolic sine and cosine functions, using elementary properties of linear transformations.

The accelerated rate of growth in the amount of web applications returns as a result an increase in the traffic that web servers must handle. This aggregated traffic, in addition to the demand of the clients to be served in a real time frame, leads to the requirement of a customized way to control web related resources. All processes of the web server are tied to the control that the OS scheduler has over them, and for the default settings, the scheduler is set to handle general purpose tasks instead of being optimized forweb serving purposes. To address this issue, the use of custom settings into the scheduler will allow the daemons needed to run a web page (such as Apache, PHP and a SQL DB) to be handled by the OS as efficiently as possible. The results of the test will be the comparison in performance of a web server for different settings on the Linux Scheduler.

In this paper we will study an algorithm designed by Madgwick which is commonly used to determine the orientation of a quadcopter. The algorithm uses a group of accelerometers, gyroscopes and magnetometers integrated in what is called an IMU as input. Some differences have been found between the results obtained by the original paper and the implementation done by the author. Therefore, a thorough study has been made, finding a miscalculation in the equations. The results show a relative average error in the orientation of 1,44 ppm.

I analyzed the Hextech-Crafting in a Stochastic Simulation with 10 Million Players and found that you're going to make more Riot Points than you spend (in value) and thats without counting Champs. I've made some assumptions, which can be found down in the paper itself for those interested. For everyone else: If you're trying to maximize your RP-Net-Worth stack up on Hextech Chests.

Through the modification of the kernel on a Ubuntu system, we managed to solve the n-Queens problem after changing the default time-slice, swappiness, latency and wakeup-granularity to different values and testing the problem.

This was an assignment for a college physics course. Please let me know what you think! :)

Software is designed to simplify the lives of its users. The rapid growth of social media and the technology industry has foreseen a plethora of different types of software used as a service, with the aim of engaging its users and creating a form of revenue. With an abundance of software applications from which to choose from, this paper looks into the types of communication between the user and the application itself, and how automation and disruptive notification are intertwined to form a successful application.