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Full-Text Articles in Physical Sciences and Mathematics
Multicolor Ramsey And List Ramsey Numbers For Double Stars, Jake Ruotolo
Multicolor Ramsey And List Ramsey Numbers For Double Stars, Jake Ruotolo
Honors Undergraduate Theses
The core idea of Ramsey theory is that complete disorder is impossible. Given a large structure, no matter how complex it is, we can always find a smaller substructure that has some sort of order. For a graph H, the k-color Ramsey number r(H; k) of H is the smallest integer n such that every k-edge-coloring of Kn contains a monochromatic copy of H. Despite active research for decades, very little is known about Ramsey numbers of graphs. This is especially true for r(H; k) when k is at least 3, also known as the multicolor Ramsey number of …
The Subject Librarian Newsletter, Mathematics, Spring 2017, Sandy Avila
The Subject Librarian Newsletter, Mathematics, Spring 2017, Sandy Avila
Libraries' Newsletters
No abstract provided.
The Subject Librarian Newsletter, Mathematics, Fall 2016, Patti Mccall
The Subject Librarian Newsletter, Mathematics, Fall 2016, Patti Mccall
Libraries' Newsletters
No abstract provided.
The Subject Librarian Newsletter, Math, Spring 2016, Patti Mccall
The Subject Librarian Newsletter, Math, Spring 2016, Patti Mccall
Libraries' Newsletters
No abstract provided.
Inversion Of The Broken Ray Transform, Roman Krylov
Inversion Of The Broken Ray Transform, Roman Krylov
Electronic Theses and Dissertations
The broken ray transform (BRT) is an integral of a function along a union of two rays with a common vertex. Consider an X-ray beam scanning an object of interest. The ray undergoes attenuation and scatters in all directions inside the object. This phenomena may happen repeatedly until the photons either exit the object or are completely absorbed. In our work we assume the single scattering approximation when the intensity of the rays scattered more than once is negligibly small. Among all paths that the scattered rays travel inside the object we pick the one that is a union of …
Improving Student Learning In Undergraduate Mathematics, Gabrielle Rejniak
Improving Student Learning In Undergraduate Mathematics, Gabrielle Rejniak
Electronic Theses and Dissertations
The goal of this study was to investigate ways of improving student learning, par- ticularly conceptual understanding, in undergraduate mathematics courses. This study focused on two areas: course design and animation. The methods of study were the following: Assessing the improvement of student conceptual understanding as a result of team project-based learning, individual inquiry-based learning and the modi ed empo- rium model; and Assessing the impact of animated videos on student learning with the emphasis on concepts. For the first part of our study (impact of course design on student conceptual understanding) we began by comparing the following three groups …
The Use Of Filters In Topology, Abdellatif Dasser
The Use Of Filters In Topology, Abdellatif Dasser
Electronic Theses and Dissertations
Sequences are sufficient to describe topological properties in metric spaces or, more generally, topological spaces having a countable base for the topology. However, filters or nets are needed in more abstract spaces. Nets are more natural extension of sequences but are generally less friendly to work with since quite often two nets have distinct directed sets for domains. Operations involving filters are set theoretic and generally certain to filters on the same set. The concept of a filter was introduced by H. Cartan in 1937 and an excellent treatment of the subject can be found in N. Bourbaki (1940).