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Browsing Mathematics and Statistics by Title

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Browsing Mathematics and Statistics by Title

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  • Layer, Mark (2014-05)
    In this thesis we develop an intuitive process of encoding any phylogenetic tree and its associated tree-distance matrix as a collection of points in Euclidean space. Using this encoding, we find that information about the ...
  • Dissanayake, Ranjan (2018-05)
    In this simulation study we examined the reliability of three phylogenetic reconstruction techniques in a long branch attraction (LBA) situation: Maximum Parsimony (M P), Neighbor Joining (NJ), and Maximum Likelihood. Data ...
  • Dajles, Andres (2016-05)
    It is known that the STAR and USTAR algorithms are statistically consistent techniques used to infer species tree topologies from a large set of gene trees. However, if the set of gene trees is small, the accuracy of STAR ...
  • Tape, Walter (2010)
  • Burr, Erika (2017-08)
    This paper seeks to provide complete proofs in modern notation of (early) key saturation number results and give some new results concerning the semi-saturation number. We highlight relevant results from extremal theory ...
  • Baños Cervantes, Hector Daniel (2018-12)
    The Multispecies coalescent model (MSC) is increasingly used in phylogenetics to describe the formation of gene trees (depicting the direct ancestral relationships of sampled lineages) within species trees (depicting the ...
  • Olmsted, Coert D. (1988)
    Linear representation and the duality of the biorthonormality relationship express the linear algebra of interpolation by way of the evaluation mapping. In the finite case the standard bases relate the maps to Gramian ...
  • Heldman, Max (2018-04)
    An optimal algorithm for solving a problem with m degrees of freedom is one that computes a solution in O (m) time. In this paper, we discuss a class of optimal algorithms for the numerical solution of PDEs called multigrid ...
  • Crawford, Alyssa (2014-05)
    This project investigated the statistical significance of baccalaureate student placement tools such as tests scores and completion of a developmental course on predicting success in a college level algebra course at the ...
  • Garayshin, Viacheslav Valer'evich; Гарайшин, Вячеслав Валерьевич (2013-08)
    Tsunami runup can be effectively modeled using the shallow water wave equations. In 1958 Carrier and Greenspan in their work "Water waves of finite amplitude on a sloping beach" used this system to model tsunami runup on ...
  • Warren, Samantha (2016-05)
    The vertex arboricity of a graph is the minimum number of colors needed to color the vertices so that the subgraph induced by each color class is a forest. In other words, the vertex arboricity of a graph is the fewest ...

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