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Full-Text Articles in Physical Sciences and Mathematics
Analysis Of Nonsmooth Neural Mass Models, Cadi Howell
Analysis Of Nonsmooth Neural Mass Models, Cadi Howell
Honors College
Neural activity in the brain involves a series of action potentials that represent “all or nothing” impulses. This implies the action potential will only “fire” if the mem- brane potential is at or above a specific threshold. The Wilson-Cowan neural mass model [6, 28] is a popular mathematical model in neuroscience that groups excita- tory and inhibitory neural populations and models their communication. Within the model, the on/off behavior of the firing rate is typically modeled by a smooth sigmoid curve. However, a piecewise-linear (PWL) firing rate function has been considered in the Wilson-Cowan model in the literature (e.g., see …
Everyone's A Waiter: A Data-Driven Queuing Simulation Model Of Mike's Clam Shack, Natalie Robinson
Everyone's A Waiter: A Data-Driven Queuing Simulation Model Of Mike's Clam Shack, Natalie Robinson
Honors College
This thesis seeks to understand the mathematical foundation of several prominent concepts in queuing theory and apply them to gain a better understanding of nightly business levels and dining room queue behavior during the summer tourist season at Mike’s Clam Shack, which is a restaurant located in Wells, Maine. To do so, a variety of queue and server section data has been collected from Mike’s and analyzed to determine probability distributions for interarrival and service times. In addition, a queuing simulation model has been constructed in the R Programming Language, which uses this data to generate dining room and queue …
From Points To Potlucks: An Exploration Of Fixed Point Theorems With Applications To Game Theory Models Of Successful Integration Practices, Llewellyn Searing
From Points To Potlucks: An Exploration Of Fixed Point Theorems With Applications To Game Theory Models Of Successful Integration Practices, Llewellyn Searing
Honors College
Potlucks have many names: shared community dinners, faith suppers, “bring-a-dish” dinners, etc. They represent the desire to share food with other people and make new friends, sometimes learning about other cultures in the process. Not only does one have to decide what dish to bring, but one must also decide how large of a dish, if there will be a theme, and what course it will fit. For instance, if everyone brings side dishes, there will not be enough food for everyone, and if someone brings food that most of the group cannot eat, then feelings will be hurt on …