Research
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Human Power Generation in Fitness Facilities
As energy usage across the world continues to rise, there is a strong need to develop new methods for power generation that have less environmental impacts. Human power presents an alternative for energy harnessing, and a readily available resource can be easily found in the users of fitness...
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CARES: KAUST
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Decimal Expansions: The Periodicity of Rational Numbers with an Emphasis on Primes
As part of a Projects in Mathematics Class in Spring of 2009, I worked in a team researching the topic of Decimal Expansions.
Every rational number has a periodic decimal expansion. Extremely unique periods exist in the case of prime rational numbers. With the discovery of a lower bound...
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Widely Spaced Vectors - Finding the smallest inner product of n squared vectors in Fn
As part of a Projects in Mathematics Class in Spring of 2009, I worked in a team researching the topic of Widely Spaced Vectors.
An orthonormal basis of n vectors can always be found for a vector space of dimension n. It is impossible to find more than n such vectors, but one can come...