The Attraction-Repulsion Model set with a long-range attraction and short-range repulsion interaction potential typically stabilizes to a well-studied flock steady state solution. The particles for a flock remain spatially coherent but have no spatial bound and explore all space. A bounded domain with specularly reflecting walls traps the particles within a specific region. A fundamental refraction law for a swarm impacting on a planar boundary is derived. The swarm reflection varies from specular for a swarm dominated by
kinetic energy to inelastic for a swarm dominated by potential energy. Inelastic collisions lead to alignment with the wall and to damped pulsating oscillations of the swarm. The fundamental refraction law provides a one-dimensional iterative map that allows for a prediction and analysis of the trajectory of the center of mass of a flock in a channel and a square domain.
The extension of the wall collisions to a scattering experiment is conducted by setting two identical flocks to collide. The two particle dynamics is studied analytically and shows a transition from scattering: diverging flocks to bound states in the form of oscillations or parallel motions. Numerical studies of collisions of flocks show the same transition where the bound states become either a single translating flock or a rotating (mill).
occur to preserve the viable participation of individuals in an economy, e.g. reciprocal gifting
of cattle among East African herders or food sharing among vampire bats. With the
broad goal of better understanding the mathematics of such binary welfare and risk pooling,
agent-based simulations are conducted to explore socially optimal transfer policies
and sharing network structures, kinetic exchange models that utilize tools from the kinetic
theory of gas dynamics are utilized to characterize the wealth distribution of an NBT economy,
and a variant of repeated prisoner’s dilemma is analyzed to determine whether and
why individuals would participate in such a system of reciprocal altruism.
From agent-based simulation and kinetic exchange models, it is found that regressive
NBT wealth redistribution acts as a cutting stock optimization heuristic that most efficiently
matches deficits to surpluses to improve short-term survival; however, progressive
redistribution leads to a wealth distribution that is more stable in volatile environments and
therefore is optimal for long-term survival. Homogeneous sharing networks with low variance
in degree are found to be ideal for maintaining community viability as the burden and
benefit of NBTs is equally shared. Also, phrasing NBTs as a survivor’s dilemma reveals
parameter regions where the repeated game becomes equivalent to a stag hunt or harmony
game, and thus where cooperation is evolutionarily stable.
This study includes a literature review and an empirical study. The empirical study is a usability testing survey that investigates user perceptions of Smart Home technology that make up the Internet of Things system in the Smart Home. Both closed-ended questions and open-ended questions are included in the survey for a comprehensive study. Main results showed that current smart home systems are somewhat usable. Results also showed that smart home users are satisfied with current smart home systems, believes that smart home technology adds value to their lifestyle, and will continue to use smart home technology. Main results showed that the strengths of current smart home systems design are efficiency, learnability, memorability, and enjoyability. Main results showed that there is a trend between age group and smart home user perceptions. These findings inform the design of user-centered smart home systems.
1/N. ƛ2 is a good estimator of the rate of convergence of the system, in comparison to the value of p used to generate the adjacency matrix..
Education has been at the forefront of many issues in Arizona over the past several years with concerns over lack of funding sparking the Red for Ed movement. However, despite the push for educational change, there remain many barriers to education including a lack of visibility for how Arizona schools are performing at a legislative district level. While there are sources of information released at a school district level, many of these are limited and can become obscure to legislators when such school districts lie on the boundary between 2 different legislative districts. Moreover, much of this information is in the form of raw spreadsheets and is often fragmented between government websites and educational organizations. As such, a visualization dashboard that clearly identifies schools and their relative performance within each legislative district would be an extremely valuable tool to legislative bodies and the Arizona public. Although this dashboard and research are rough drafts of a larger concept, they would ideally increase transparency regarding public information about these districts and allow legislators to utilize the dashboard as a tool for greater understanding and more effective policymaking.