Only a week and a half left! Kayleigh and I have a draft of our final STEM scholars presentation up and running, but after presenting it to Dr. Bayless I think we will make some edits. First of all, we’ll more images to our slides. Our goal for this presentation is to create a basic intuition of the function as opposed to presenting precise mathematical definitions. We’ll also focus more on our theorems and only include definitions that are necessary to explain them.
We’ve continued to work on our final paper as well, and are looking at journals to submit to. When considering possible journals we’ve taken into account aspects such as who the editors are, what the submission process is like, and the likelihood that we’ll be accepted. Thus far we’ve focused mostly on writing our proofs and need to create an abstract and introduction. We want our abstract to briefly introduce the problem and state our most significant findings. The introduction should restate and extrapolate on the abstract and give some motivation for the significance of our problem. To write this we will read other papers that were submitted to the journals we’re looking at and research the motivation behind “Random Cyclic Dynamical Systems”(1).
I’ve worked this week on programing a way to map our function with Matt’s help. So far the program is capable of randomly plotting a number of points specified by the user onto a circle. I have also figured out how to plot arrows using a function, and now I just have to put the two together. I’ve pursued creating an array to store the points that are plotted, but unfortunately the new code prevents more than one point from being plotted when it is implemented. Once the array is stored I should be able to draw arrows from point to point within it.
The STEM scholars discussed what it is like to be a woman in a STEM field in our meeting this week. Bonnie Perdue, Assistant Professor of Cognitive Neuroscience at Agnes Scott, lead the talk with a presentation. She talked about biases against women working in STEM fields and how that can affect status, pay, and mental health. One of the topics that came up frequently was how women are affected by maternity, in and outside of the realm of science. Even if a woman has no plans to have a child, employers can fail to offer her jobs (or tenure) out of fear that she may go on extended maternity leave or be more dedicated to her child than to her work. Women are also more likely to experience impostor syndrome, the fear that one doesn’t really belong in some professional or academic setting, than men. To me impostor syndrome is made worse in STEM fields by the tendency that people have to make others that are minorities in some area representatives for the whole minority. Women may fear that their inevitable exposure as a supposed fraud will extend to their whole gender.
In the Beamer for this week we included new definitions and a proof for why a -swift point implies from the re-released paper. I changed -swift points to -swift points to match new notation from the paper and created a proof for why a -swift point implies . Kayleigh created proofs for how regular orbits, which are simply orbits with equidistant points, behave when new points are introduced.
The Beamer presentation for this week is here!
Adamaszek, Michal, Henry Adams, and Francis Motta. “Random Cyclic Dynamical Systems.” Eprint ArXiv:1511.07832 (2015): n. pag. Web.