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Full-Text Articles in Physical Sciences and Mathematics
To Shift Or Not To Shift: Maximizing The Efficiency Of A Wireless Sensor Network Using Multiple Sinks, Chabli Boler
To Shift Or Not To Shift: Maximizing The Efficiency Of A Wireless Sensor Network Using Multiple Sinks, Chabli Boler
Master's Theses
Energy efficiency is a vital part of wireless sensor networks (WSN). Using correct techniques, we can improve the overall data throughput of the network and, at the same time, cut down the cost of running it. The efficient utilization of the life of the sensor node in a WSN is a critical problem. This is a problem since the sensor nodes closest to the sink node expend more energy because they send more messages, mostly for routing, than any other node on the network.
This decreases the life of those sensor nodes and will lead to dead spots in the …
An Examination Of The Yang-Baxter Equation, Alexandru Cibotarica
An Examination Of The Yang-Baxter Equation, Alexandru Cibotarica
Master's Theses
The Yang-Baxter equation has been extensively studied due to its application in numerous fields of mathematics and physics. This thesis sets out to analyze the equation from the viewpoint of the algebraic product of matrices, i.e., the composition of linear maps, with the intent of characterizing the solutions of the Yang-Baxter equation.
We begin by examining the simple case of 22 matrices where it is possible to fully characterize the solutions. We connect the Yang-Baxter equation to the Cecioni-Frobenius Theorem and focus on obtaining solutions to the Yang-Baxter equation for special matrices where solutions are more easily found. Finally, …