Pacific McGeorge School of Law
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On Amicable Numbers
This is an English translation of Euler\u27s 1750 paper De numeris amicabilibus (E152), the most substantial of his three works with this name. In it, he expounds at great length the ad hoc methods he has developed to search for pairs of amicable numbers, concluding with a list of around 60 new pairs
Mindful Aging Project Mental Wellness Education in Partnership with Older Adults in Sacramento County
https://scholarlycommons.pacific.edu/nursing-portfolios/1028/thumbnail.jp
Stability of Transverse Changes with Clear Aligners and Hyrax Expanders in Mixed Dentition Patients
Introduction: This study evaluated the stability of transverse changes in patients treated with the Invisalign First System (IFS) compared to those treated with a Hyrax expander and fixed appliances (Hyrax) and a control group. The objective was to determine whether transverse changes achieved during the mixed dentition were maintained into the permanent dentition at the start of Phase II orthodontic treatment. Material and Methods: This retrospective longitudinal observational study included 119 subjects: 44 IFS patients, 36 Hyrax patients, and 39 untreated controls. Arch width changes at the canines, premolars, and molars were measured on digital study models at three timepoints: pre-Phase I treatment (T1), post-Phase I treatment (T2), and pre-Phase II evaluation (T3). Vertical skeletal changes were evaluated in a cephalogram subgroup. Results: Maxillary arch width increased significantly from T1 to T3 in both IFS and Hyrax groups (IFS: 1.8-2.8 mm; Hyrax: 2.2-3.7 mm) compared with controls (0.4-1.2 mm; P \u3c .0001). The Hyrax group demonstrated significantly greater interpremolar and intermolar expansion at T2 (Hyrax: 4.1-4.8 mm, IFS:1.9-2.8 mm) but experienced more relapse by T3 from T2 to T3: Hyrax –1.9 to – 2.4 mm vs. IFS – 0.1 to – 0.5mm). Additionally, the IFS group showed a statistically significant increase in mandibular arch width from T1 to T3 (1.9 – 2.9 mm) compared with controls (P \u3c .05). No vertical skeletal measurements differed significantly between T1 and T3. Conclusions: Both IFS and Hyrax produced significant maxillary arch width increases that were maintained into the permanent dentition compared with the controls. The IFS group also showed an increase in the mandibular arch width into the permanent dentition relative to the control group. IFS may be considered a suitable option for mild arch length discrepancies and crowding in the mixed dentition. No significant differences in long-term vertical skeletal changes were observed across groups
Identifying Older Adult Orthopedic Patients’ Learning Styles for Tailored Communication and Health Literacy
Effective patient communication supports health literacy, treatment compliance, and health outcomes. This study examined whether older adult orthopedic patients’ learning style modality preferences differ from general population norms and characterized their multimodal communication preference profiles to inform tailored provider–patient interactions. Using the Barsch Learning Style Inventory (BLSI), 57 English-speaking male orthopedic patients (50+ years) in a semi-rural Northern California practice were assessed. Primary learning modality distributions (n = 50 with single primary preferences) differed significantly from the BLSI theoretical norms using an exact multinomial goodness-of-fit test (p = 0.048), with fewer auditory learners and more kinesthetic learners than expected. Hierarchical analysis of full four-modality (quadrimodal) profiles revealed a pronounced visual-first dominance: visual appeared as the top-ranked modality in 68% of patients (34/50), significantly exceeding equal expectation (χ²(3)=53.52, p \u3c .0001; Cramér’s V ≈ 0.60), indicating a large effect. Trimodal profiles—Visual-Kinesthetic-Auditory (18%), Visual-Auditory-Kinesthetic (16%), and Visual-Auditory-Tactile (14%)—emerged as the most common structured preference patterns. These findings provide a clear clinical directive for orthopedic practices with these patient profiles: lead with visual materials to align with the strong visual-first preference, then layer secondary and tertiary modalities based on individual trimodal profiles to meet the unique needs of this patient sample
Camino a la Salud: Culturally Tailored Diabetes Education for Hispanic Older Adults in Stockton, California
AIM: Camino a la Salud addresses diabetes in one of the most affected populations in San Joaquin County, older Hispanic adults and their caregivers. This project aims to increase diabetes knowledge, confidence, and self-management among older adults in Stockton through culturally tailored education and hands-on learning. The project also provided glucometers and visual teaching tools to support skill development and improve diabetes awareness and prevention in this community.
METHODS: This project included three weekly bilingual diabetes education sessions held at El Concilio during their senior food distribution program. Each session covered a different topic: diabetes risks and complications, understanding glucose and blood pressure numbers, and lifestyle changes for prevention and management. Education was delivered through short presentations, teach-back techniques, and culturally relevant examples. Participants completed pre- and post-surveys, including Likert-scale questions to measure changes in knowledge and confidence. The ADA diabetes risk test, printed materials, and live demonstrations supported learning. Surveys and observations were analyzed using SQUIRE guidelines.
RESULTS: Across the project, there were 66 total session encounters (23 in Session 1, 23 in Session 2, and 20 in Session 3), with 19 participants completing demographic intake forms. Participants were mostly older adults with a mean age of 70.8 years, and the majority identified as Hispanic or Latino. Knowledge and confidence improved following the educational sessions, with survey scores increasing by at least 20 percent across all sessions. Confidence in understanding glucose and blood pressure values increased to a mean of 4.17 (≈30 percent improvement). In the final session, participants reported the highest overall outcome, with a mean score of 4.77, and the majority indicated they planned to adopt at least one healthy lifestyle change, such as improving their diet or incorporating gentle physical activity. These findings show meaningful increases in diabetes literacy and self‑management readiness.
CONCLUSION: Camino a la Salud demonstrated improved diabetes knowledge, confidence, and intention to practice healthier behaviors among older Hispanic adults in Stockton, California. Delivering education in a trusted community setting with bilingual materials and culturally tailored content supported engagement and understanding. Participants showed improved awareness of diabetes risks, greater confidence with glucometer use and interpretation of numbers, and strong motivation to adopt healthier practices. Continued access to culturally relevant education and community partnerships may strengthen long-term health outcomes and reduce disparities for Hispanic older adults living with or at risk for diabetes.https://scholarlycommons.pacific.edu/nursing-portfolios/1040/thumbnail.jp
Wi-Eye
Wi-Eye is a smart network management system designed to protect home networks using machine learning and a mobile application. Many people connect to the internet every day, but most do not know how to secure their networks. Cyberattacks can put personal information and devices at risk. Wi-Eye helps solve this problem by giving users an easy and effective way to monitor and manage their network.
The system uses a PC that acts like an administrative computer that connects to the router to control and scan the network. It uses OS fingerprinting to identify the operating system and version of each device that tries to connect. Based on this information, Wi-Eye allows or blocks devices depending on whether they meet security rules. This adds an extra layer of control before a device even joins the network.
To detect threats, Wi-Eye uses machine learning to analyze network traffic. It looks for signs of harmful behavior such as port scanning or DDoS patterns. The system is trained using labeled datasets collected through Wireshark, a network traffic capture tool. A supervised learning model is built and deployed either on the administrative computer to detect threats in real time.
Wi-Eye is cross-platform and runs mainly on Windows and Android. The mobile app is designed to make it easy for users to manage their network. It includes an admin dashboard that shows the current network status, connected devices, and any suspicious activity. The app also sends alerts when threats are detected. Users can approve or block devices from the app. Only authorized administrators can access these settings using a secure login.
Wi-Eye uses Python for AI development and Selenium for communication between the app and the router. The system is designed to be simple to use but be able to protect against attacks. It gives users more control, more information, and defense against cyber threats.
In the future, we may add more features like separate user and admin versions of the app. Our goal is to make home network security easy and smart. Wi-Eye gives users the tools they need to protect their network and keep unwanted users out
KEAP Terminal
This senior project is the design and development of a point of sale (POS) system which is targeted towards small businesses. We decided to do this project because we know someone who has a small business and wanted additional features that the POS system can not provide. Some of the mom and pop stores still have the older analog POS system which is now outdated. With the system we are coming up with, we want it to be more online so the owner is able to track sales, inventory, and other statistics without having to come to the location. The objective of the project is to create an easy-to-use, cost-effective, and reliable POS system that has fast checkout, real-time inventory tracking, and accurate pricebook management .
Some of the issues that some of the POS systems face today include being expensive and inconvenient for small stores. If small businesses wanted additional features, they would need to pay more or subscribe to monthly plans. We want to include those features for free as we want to help small businesses thrive without having the extra financial burden. To understand what the clientele wanted, we asked a local business owner for their problems they deal with and what features they wish they had. This feedback helped shape our own POS system, KEAP Terminal.
The system was developed using ReactJS, Vite, TailwindCS and MongoDB. The frontend is made to where it is simple and easy to use for store employees where they might have limited technical experience. The backend is for item lookups, transaction logging, inventory updates, and price changes. The part we focused heavily on was the simple UI, fast search performance, and a database which can store items and other information. As we continued on the KEAP Terminal, we kept talking with a local business owner for their opinions and criterias for this POS system.
Some of the key features of this POS include categories for the items to fall under, receipt generation, changing information about the price, and what we worked on really hard was the invoice scanner. It becomes easier tracking inventory and saves a bunch of time from inputting the data yourself. Some strengths of this POS system are that it is easy to deploy, low hardware requirements, and flexibility for future expansion, such as online ordering and API integrations with other softwares.
Testing involved simulated transactions, database stress checks, and user interface evaluation with real store inventory items, This was tested by real employees who work at stores with this kind of POS system. This shows that a custom POS can help shorten the gap between expensive commercial systems and inefficient manual processes, allowing the small business owner more control over their store operations.
In general, this project shows the viability of creating a fully functional POS system using open-source tools. This also shows how simplistic interface design, efficient backend structure, and real business requirements can come together to make a solution which helps out a local small business
Design and Development of Crownshatter, a 2D Action-Adventure RPG
Crownshatter is a 2D side-scrolling action-adventure RPG created as a senior project to explore the full workflow of independent game development. The project focuses on delivering a linear, story-driven experience supported by responsive combat, enemy AI, and a flexible character-building system. The game follows a protagonist whose family is executed by royal decree, setting them on a path of revenge that drives the narrative forward. While the story provides emotional context, the core aim of the project was to design and implement cohesive gameplay systems that support a polished and engaging player experience.
The development of Crownshatter was inspired by a long-standing interest in video games and a desire to understand the technical and artistic decisions involved in creating them. The project became a way to practice turning ideas into functional systems, explore narrative and gameplay integration, and gain experience with industry-standard tools. Unity was chosen as the engine due to its strong 2D workflow, accessible learning curve, and flexibility in prototyping and iteration. Key systems were developed using C#, along with Unity\u27s animation, physics, and UI frameworks.
A central design goal was to keep the story tightly guided while still allowing players to customize their playstyle. To achieve this balance, the game uses a card-based augment system that lets players unlock and equip different abilities and modifiers as they level up. Inspired by build-crafting systems found in many action RPGs, this mechanic underwent several iterations to ensure upgrades felt meaningful, balanced, and easy to understand.
Development required building modular, reusable systems for player movement, combat, and enemy behavior, allowing new gameplay content to be added efficiently. Significant time was spent refining movement responsiveness, tuning hitboxes, adjusting combat timing, and polishing animations and visual feedback. Playtesting played an important role, helping identify issues with pacing, difficulty, and clarity, which guided the final round of adjustments and improvements.
The resulting project represents a functional prototype that achieves the core goals of demonstrating game design, programming, and system integration. Crownshatter reflects the challenges and learning experiences of solo development, including managing scope, prioritizing features, and adapting plans based on available time. Although not fully complete, the project provides a solid foundation for future improvements and serves as a practical demonstration of the skills required to bring an original game concept to life