3 resultados para Equitable Colourings

em Digital Commons - Michigan Tech


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In an increasingly interconnected world characterized by the accelerating interplay of cultural, linguistic, and national difference, the ability to negotiate that difference in an equitable and ethical manner is a crucial skill for both individuals and larger social groups. This dissertation, Writing Center Handbooks and Travel Guidebooks: Redesigning Instructional Texts for Multicultural, Multilingual, and Multinational Contexts, considers how instructional texts that ostensibly support the negotiation of difference (i.e., accepting and learning from difference) actually promote the management of difference (i.e., rejecting, assimilating, and erasing difference). As a corrective to this focus on managing difference, chapter two constructs a theoretical framework that facilitates the redesign of handbooks, guidebooks, and similar instructional texts. This framework centers on reflexive design practices and is informed by literacy theory (Gee; New London Group; Street), social learning theory (Wenger), globalization theory (Nederveen Pieterse), and composition theory (Canagarajah; Horner and Trimbur; Lu; Matsuda; Pratt). By implementing reflexive design practices in the redesign of instructional texts, this dissertation argues that instructional texts can promote the negotiation of difference and a multicultural/multilingual sensibility that accounts for twenty-first century linguistic and cultural realities. Informed by the theoretical framework of chapter two, chapters three and four conduct a rhetorical analysis of two forms of instructional text that are representative of the larger genre: writing center coach handbooks and travel guidebooks to Hong Kong. This rhetorical analysis reveals how both forms of text employ rhetorical strategies that uphold dominant monolingual and monocultural assumptions. Alternative rhetorical strategies are then proposed that can be used to redesign these two forms of instructional texts in a manner that aligns with multicultural and multilingual assumptions. These chapters draw on the work of scholars in Writing Center Studies (Boquet and Lerner; Carino; DiPardo; Grimm; North; Severino) and Technical Communication (Barton and Barton; Dilger; Johnson; Kimball; Slack), respectively. Chapter five explores how the redesign of coach handbooks and travel guidebooks proposed in this dissertation can be conceptualized as a political act. Ultimately, this dissertation argues that instructional texts are powerful heuristic tools that can enact social change if they are redesigned to foster the negotiation of difference and to promote multicultural/multilingual world views.

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Chapter 1 is used to introduce the basic tools and mechanics used within this thesis. Some historical uses and background are touched upon as well. The majority of the definitions are contained within this chapter as well. In Chapter 2 we consider the question whether one can decompose λ copies of monochromatic Kv into copies of Kk such that each copy of the Kk contains at most one edge from each Kv. This is called a proper edge coloring (Hurd, Sarvate, [29]). The majority of the content in this section is a wide variety of examples to explain the constructions used in Chapters 3 and 4. In Chapters 3 and 4 we investigate how to properly color BIBD(v, k, λ) for k = 4, and 5. Not only will there be direct constructions of relatively small BIBDs, we also prove some generalized constructions used within. In Chapter 5 we talk about an alternate solution to Chapters 3 and 4. A purely graph theoretical solution using matchings, augmenting paths, and theorems about the edgechromatic number is used to develop a theorem that than covers all possible cases. We also discuss how this method performed compared to the methods in Chapters 3 and 4. In Chapter 6, we switch topics to Latin rectangles that have the same number of symbols and an equivalent sized matrix to Latin squares. Suppose ab = n2. We define an equitable Latin rectangle as an a × b matrix on a set of n symbols where each symbol appears either [b/n] or [b/n] times in each row of the matrix and either [a/n] or [a/n] times in each column of the matrix. Two equitable Latin rectangles are orthogonal in the usual way. Denote a set of ka × b mutually orthogonal equitable Latin rectangles as a k–MOELR(a, b; n). We show that there exists a k–MOELR(a, b; n) for all a, b, n where k is at least 3 with some exceptions.

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As continued global funding and coordination are allocated toward the improvement of access to safe sources of drinking water, alternative solutions may be necessary to expand implementation to remote communities. This report evaluates two technologies used in a small water distribution system in a mountainous region of Panama; solar powered pumping and flow-reducing discs. The two parts of the system function independently, but were both chosen for their ability to mitigate unique issues in the community. The design program NeatWork and flow-reducing discs were evaluated because they are tools taught to Peace Corps Volunteers in Panama. Even when ample water is available, mountainous terrains affect the pressure available throughout a water distribution system. Since the static head in the system only varies with the height of water in the tank, frictional losses from pipes and fittings must be exploited to balance out the inequalities caused by the uneven terrain. Reducing the maximum allowable flow to connections through the installation of flow-reducing discs can help to retain enough residual pressure in the main distribution lines to provide reliable service to all connections. NeatWork was calibrated to measured flow rates by changing the orifice coefficient (θ), resulting in a value of 0.68, which is 10-15% higher than typical values for manufactured flow-reducing discs. NeatWork was used to model various system configurations to determine if a single-sized flow-reducing disc could provide equitable flow rates throughout an entire system. There is a strong correlation between the optimum single-sized flow- reducing disc and the average elevation change throughout a water distribution system; the larger the elevation change across the system, the smaller the recommended uniform orifice size. Renewable energy can jump the infrastructure gap and provide basic services at a fraction of the cost and time required to install transmission lines. Methods for the assessment of solar powered pumping systems as a means for rural water supply are presented and assessed. It was determined that manufacturer provided product specifications can be used to appropriately design a solar pumping system, but care must be taken to ensure that sufficient water can be provided to the system despite variations in solar intensity.