California Polytechnic State University

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    Unique Signed Minimal Wiring Diagrams and the Stanley-Reisner Correspondence

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    Biological systems are commonly represented using networks consisting of interactions between various elements in the system. Reverse engineering, a method of mathematical modeling, is used to recover how the elements in the biological network are connected. These connections are encoded using wiring diagrams, which are directed graphs that describe how elements in a network affect one another. A signed wiring diagram provides additional information about the interactions between elements relating to activation and inhibition. Due to cost concerns, it is optimal to gain insight into biological networks with as few experiments and data as possible. Minimal wiring diagrams identify the minimal sets of variables for which a model that fits the data exists. Previously established algorithms to compute possible minimal wiring diagrams rely on the primary decomposition of ideals in polynomial rings. Stanley-Reisner theory provides a one-to-one correspondence between squarefree monomial ideals and abstract simplicial complexes. In this work, we use this correspondence to determine conditions under which a given set of inputs is guaranteed to have a unique signed minimal wiring diagram, regardless of the output assignment

    An Introduction to Fröberg\u27s Conjecture

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    The goal of this thesis is to make Fröberg\u27s conjecture more accessible to the average math graduate student by building up the necessary background material to understand specific examples where Fröberg\u27s conjecture is true

    \u27Friends on Film\u27

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    \u27How We Met Ourselves\u27, \u27Polite Conversation\u27 & \u27Reflections\u27

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    Closing

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    AGED 539 Graduate Internship Report - Cal Poly Rodeo

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    This report details the role of an assistant coach with the responsibility of managing social media

    AgEd 539 Internship Report - Mendota High School

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    This internship and project report includes documentation required in meeting the quality criteria for secondary-level programs of instruction in agriculture. The documents are concurrently used for the Agriculture Incentive Grant review process at Mendota High School conducted by representatives of the California Department of Education. The supporting material includes information to receive state and local funding, outline the goals and objectives of the program, along with an overview of Mendota High School, the agriculture program and the community

    Hollywood and Gower: A Design Proposal

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    This is a design proposal for a mixed-use, transit-oriented community on an approximately 40 acre site in Central Hollywood, Los Angeles, California

    Cal Poly Construction Management Summer Bootcamp 2022

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    The purpose of this paper is to outline the intent and key objectives of the Cal Poly Construction Management Summer Bootcamp. This project was developed through collaboration with Cal Poly Construction Management faculty and other contributors to create a multi-scope project with the objective of creating a summer bootcamp. The camp was proposed to assist the San Luis Obispo County Office of Education and the Central Coast Homebuilders Association with promoting skilled trades education in high schools. Local high schools currently implement the Building Industry Technology Academy (BITA) curriculum, which has proven difficult for students to enroll in or complete. To address this issue, the Cal Poly Construction Management Summer Camp will provide skilled trades training and implement the BITA curriculum to provide opportunity to complete the BITA program. The scope for this paper will focus on the scheduling aspect of the summer camp, specifically creating daily agendas and outlining learning objectives for each day, relating the learning objectives to the BITA curriculum to assist high school students with the completion of the BITA program. This camp will be one week long, intending to teach basic construction management skills, safety, and to complete a community-based construction project

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