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With exams for round 2 released to/yesterday, ETEST SCIENCE CAMP 2018 is giving prospective applicants model questions for four fields offered at the camp. These are open-ended questions with similar directions to the official ones:
You must have heard about the movie Wall-E, an animated Sci-Fi film about the human society in the future. Whoever has watched this movie must also surely remember, besides the adorable love between Eve and Wall-E, the extremely convenient hoverchairs. These futuristic chairs can float and move on air totally by themselves, in addition to having realistic hologram projectors! You can refer to this video to see more about this hoverchair:
As a camper at eTest Science Camp, you will apply your knowledge into research and putting forward possible theories/solutions for real-life problems. With this in mind, please answer the following questions regarding the operations of a hoverchair:
IOT: Observing the traffic flow of hoverchairs in the Axiom spaceship, we can easily seethat there is virtually no traffic jam, even though there are thousands of hoverchairs travelling on the same track. Assuming that these chairs can transfer information and communicate with one another, please give a theoretical explanation of how these hoverchairs prevent traffic jams in the Axiom.
MATHEMATICS: What can we do to optimize the “usefulness” of hoverchairs among these conditions: optimize the number of chairs and the shape of chairs ( three-dimensional geometry and multidimensional integral), optimize the spaces between chairs to allow for easy movements and comfort, optimize maintenance chains and life expectancy of the chair with a countable number of chairs and infinite time (Composite mathematics)? Please produce a few theories/math models and prove that your conclusion is correct based on your theories/models.
ARTIFICAL INTELLIGENCE: Observing how Earthlings live on the Axion, we can see that the hoverchair is a crucial part to their lives, particularly in moving them. By the pressing of a button, these hoverchairs can perform a variety of tasks, from transporting to entertaining. According to you, how do those chairs operate and how do they provide all of their functions to the user?
NEUROSCIENCE: Imagine you as the creator of the hoverchair. You think you should change how the chairs are being controlled, from using buttons to using thoughts, emotions, or commands. What principles can you use to alter the way people control their hoverchairs? Do you think it is possible to apply such principles in real-life?