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(Work with Richard Bumby, Rutgers)
The divided cell algorithm was designed in the 1950s to answer questions about non-homogeneous approximation. This talk will begin with a review the history of known results on the structure of both the homogeneous and non-homogeneous Markoff spectra as well as the geometric interpretation of continued fractions that inspired the divided cell algorithm. We will then restrict our attention to the divided cell algorithm and describe how a finer analysis of its structure is providing new information on the non-homogeneous spectrum.
Understanding rainfall patterns is and will be a challenge for those working in hydrological sciences. The complexity of rainfall resembles turbulence (not phenomenologically), and some models for describing rainfall have been inspired by turbulence. In this lecture, some ideas about the statistical description of rainfall will be presented, and how some of its geometrical features obtained from the fractal geometry can help us to identify symmetries in the physical process of rainfall.
The collection of metabolisms that process and regulates iron inside the cell is called cellular iron homeostasis. Scientists have been interested in understanding these processes better due to the links that have been found between the anomalous cellular iron homeostasis and several diseases, like diabetes, Alzheimer's, and breast cancer. Anomalous iron homeostasis can raise or decrease the iron levels in an organism, with high levels of cellular iron being toxic to the cell whilst low levels of iron hinder the cellular growth.
This study presents a hybrid-mixed stress model for the dynamic analysis of structures. In this model, both the stress and the displacement fields are approximated in the domain of each Element, while the Dirichlet boundary conditions are also imposed in a weighted residual form.
The OSU Department of Mathematics will host the Annual Meeting of the Pacific Northwest Section of the MAA to be held on April 1-2, 2016. The eighth annual Northwest Undergraduate Mathematics Symposium (NUMS) will be embedded within the larger annual meeting.
The purpose of the Pacific Northwest Section is to advance collegiate-level mathematics on a regional level as well as to provide professional development and networking activities for section members and mathematics students. Much of the section’s activities center around the annual meeting, including Project NExT (New...