41530 research outputs found
Sort by
Dehn\u27s Problems And Geometric Group Theory
Get PDFIn 1911, mathematician Max Dehn posed three decision problems for finitely
presented groups that have remained central to the study of combinatorial
group theory. His work provided the foundation for geometric group theory,
which aims to analyze groups using the topological and geometric properties
of the spaces they act on. In this thesis, we study group actions on Cayley
graphs and the Farey tree. We prove that a group has a solvable word problem
if and only if its associated Cayley graph is constructible. Moreover, we prove
that a group is finitely generated if and only if it acts geometrically on a proper
path-connected metric space. As an example, we show that SL(2, Z) is finitely
generated by proving that it acts geometrically on the Farey tree
A Jazz Piece and a Classical Piece, Showcasing my Growth as a Composer
Get PDFI composed two works for this project: a solo piano piece and a two-movement big band piece that features a trombone soloist. Each piece is based on things I have done and worked on in my Cal Poly career, but they also presented new challenges in their composition
San Luis Obispo High School FFA Farm Chicken Coop Construction
Get PDFThis paper details the preconstruction and construction process accomplished by a team of California Polytechnic State University, San Luis Obispo Construction Management students during the construction of a new chicken coop for the San Luis Obispo High School’s FFA program. The project, initiated in the fall of 2023, aimed to replace the existing temporary coop to a larger, more functional structure capable of comfortably housing approximately a dozen chickens while ensuring their safety and well-being. While the primary focus of this paper revolves around the preconstruction and construction phases, it also touches upon the design phases, as these stages involved collaborative efforts from the entire team. The document highlights the significance of proactive scheduling and precise pre-task planning, as well as the ability to navigate unforeseen challenges that arise during the actual construction process. This senior project provided the team with valuable experience in working collaboratively through each stage of a real-life construction project, providing them with essential skills for their future careers in the construction industry. It also prepared them for interactions with architects, owners, and other project partners, further enhancing their readiness for professional roles in construction project management
Consumption and Waste for Hydrating Workers with Single Use Plastic Bottles
Get PDFThe construction industry significantly contributes to environmental waste, notably through the extensive use of plastic water bottles for hydrating field personnel. This case study investigates the hydration practices of a midsize construction company in the Bay Area, focusing on the volume of plastic waste generated and potential sustainable alternatives. Data were collected via surveys sent to 15 employees, revealing that approximately 130,416 plastic bottles are used annually across 11 project sites. Despite the convenience and compliance with OSHA regulations, the reliance on single-use plastic bottles presents severe environmental and health concerns, such as resource depletion and microplastic pollution. Survey results indicated a moderate willingness among employees to adopt more sustainable practices, like central hydration stations and reusable bottles, although concerns about productivity impacts persist. The findings highlight the need for enhanced waste management strategies and industry-wide shifts toward sustainable hydration methods. Future research should explore the feasibility and long-term benefits of alternative hydration solutions to reduce the ecological footprint of construction activities while maintaining operational efficiency
2024 Annual Hackathon: Redesigning Safety Head Protection
Get PDFThe Hackathon is an annual event hosted by construction management students at California Polytechnic State University in San Luis Obispo. The event aims to redesign a piece of safety equipment to make it more user-friendly, safe, and enjoyable, and provide equitable safety for all genders. The subject of the hackathon held in April, 2024, was head protection for construction workers, primarily hard hats and helmets. Head protection is a critical PPE item that impacts every worker on a job site - which is why it was chosen for a redesign. The 2024 hackathon event was centered around inviting industry members to come and work together to redesign the head protection collaboratively with students and faculty. A room was reserved where tables, hacking materials, and food were provided. In this space, three groups worked to create new models that addressed various issues with standardized hats and helmets. Of the three designs, one was more futuristic and technology-based while the other two were ideas that could be easily implemented today. The unanimous opinion after the event was that more research must be conducted and action needs to be taken to make head protection more user-friendly and inclusive
Cal Poly Sustainability Course Impacts on Students Work Choice & Thinking
Get PDFThis research paper addresses the impact a sustainability course has on construction management students at a public university. A quantitative survey was conducted among 21 participants. This survey aimed at obtaining data from construction management students who have or were currently enrolled in a sustainability course to determine whether their thinking of construction and job selection approaches were altered as a result of taking the class. Results indicated that there was some impact on how students perceived sustainable construction after taking the class. Students were more experienced and aware of sustainability issues that occurred because of construction practices which affected the long term. However, the class had no impact on how individuals approached a potential career with a construction company. These findings showcase that awareness of students was impacted but there were other factors that contributed to selecting a company besides sustainability. This paper could be valuable to construction management curriculums on how to incorporate more sustainable courses into the curriculum besides the course studied, which in turn will enable college courses with CM departments expanding on its importance and value
Modeling The Acoustic Transmission Line With Applied Damping
Get PDFThe transmission line is an underappreciated style of loudspeaker enclosure characterized by an acoustic labyrinth stemming from the rear of the speaker driver. In practice, the transmission line enclosure produces airy sound uncharacteristic of other styles, at the cost of more pronounced resonant peaks. The most important practical drawback of this loudspeaker enclosure design is the difficulty of properly applying damping to these enclosures. Ideally, this difficulty can be mitigated using an analytical model that accurately predicts the SPL frequency response of a transmission line loudspeaker system for a given geometry and mass of damping material.
This research takes the first step towards establishing such a model by developing a limited model for a simple enclosure geometry. Through the application of a modal analysis, this research predicts the frequency response of the enclosure for the first five modes, discusses the effect damping has on this response, and experimentally verifies the produced outputs. For the simplified transmission line enclosure, the developed model successfully predicts the target portion of the frequency response. The model produces accurate results for a range of damping levels using experimentally derived damping ratios for the first five modes. The resulting curves for each modal damping ratio allow for a set of novel damping ratios to be produced from an input mass of damping material. Through this process, an input mass of damping material produces the predicted frequency response for a straight, non-tapered transmission line enclosure. This prediction can make damping a transmission line enclosure much more efficient, allowing for transmission line loudspeakers to be more widely available
