Now showing items 1-20 of 163

    • Classification of δ-Invariant Amalgamation Classes 

      Aref'ev, Roman D.; Baldwin, John T.; Mazzucco, Marco (Journal of Symbolic Logic, 1999-12)
      Hrushovski's generalization of the Fraisse construction has provided a rich source of examples in model theory, model theoretic algebra and random graph theory. The construction assigns to a dimension function s and a class ...
    • OPTIMAL DESIGNS FOR 2(k) FACTORIAL EXPERIMENTS WITH BINARY RESPONSE. 

      Yang, J; Mandal, A; Majumdar, D (Academia Sinica, Institute of Statistical Science, 2001-01)
      We consider the problem of obtaining D-optimal designs for factorial experiments with a binary response and k qualitative factors each at two levels. We obtain a characterization of locally D-optimal designs. We then develop ...
    • Notes on Quasiminimality and Excellence 

      Baldwin, John T. (Association for Symbolic Logic, 2004-09)
      This paper ties together much of the model theory of the last 50 years. Shelaha's attempts to generalize the Morley theorem beyond Þrst order logic led to the notion of excellence, which is a key to the structure theory ...
    • Subsets of Superstable Structures are Weakly Benign 

      Baizhanov, Bektur; Baldwin, John T.; Shelah, Saharon (Association for Symbolic Logic, 2005-03)
      Baizhanov and Baldwin [1] introduce the notions of benign and weakly benign sets to investigate the preservation of stability by naming arbitrary subsets of a stable structure. They connect the notion with work of Baldwin, ...
    • The Metamathematics of Random Graphs 

      Baldwin, John T. (Elsevier Masson, 2006)
      We explain and summarize the use of logic to provide a uniform perspective for studying limit laws on finite probability spaces. This work connects developments in stability theory, finite model theory, abstract model ...
    • Categoricity, Amalgamation, and Tameness 

      Baldwin, John T.; Kolesnikov, Alexei (Springer Verlag, 2007)
      Theorem: For each 2 ≤ k < ω there is an Lω1,ω -sentence ϕk such that (1) ϕk is categorical in μ if μ≤ℵk−2; (2) ϕk is not ℵk−2-Galois stable (3) ϕk is not categorical in any μ with μ>ℵk−2; (4) ϕk has the disjoint ...
    • On the minimum number of colors for knots. 

      Kauffman, Louis H.; Lopes, Pedro (Elsevier, 2008-01)
      In this article we take up the calculation of the minimum number of colors needed to produce a non-trivial coloring of a knot. This is a knot invariant and we use the torus knots of type (2, n) as our case study. We ...
    • Examples of Non-Locality 

      Baldwin, John T.; Shelah, Saharon (Association for Symbolic Logic, 2008-09)
      We use kappa-free but not Whitehead Abelian groups to construct Abstract Elementary Classes (AEC) which satisfy the amalgamation property but fail various conditions on the locality of Galois-types. We introduce the notion ...
    • The Amalgamation Spectrum 

      Baldwin, John T.; Kolesnikov, Alexei; Shelah, Saharon (Association for Symbolic Logic, 2009-09)
      We study when classes can have the disjoint amalgamation property for a proper initial segment of cardinals. Theorem A For every natural number k, there is a class Kk defined by a sentence in Lω₁,ω that has no models ...
    • Sparse supervised dimension reduction in high dimensional classification 

      Wang, Junhui; Wang, Lifeng (Institute of Mathematical Statistics, 2010)
      Supervised dimension reduction has proven effective in analyzing data with complex structure. The primary goal is to seek the reduced subspace of minimal dimension which is sufficient for summarizing the data structure of ...
    • Traveling waves in deep water with gravity and surface tension 

      Akers, Benjamin; Nicholls, David P. (Society for Industrial and Applied Mathematics, 2010)
      This paper is concerned with the simulation of periodic traveling deep-water freesurface water waves under the influence of gravity and surface tension in two and three dimensions. A variety of techniques is utilized, ...
    • Local holomorphic De Rham cohomology 

      Du, Rong; Yau, Stephen (International Press, 2010-03)
      Local holomorphic De Rham cohomology introduced in this paper and punctured local holomorphic De Rham cohomology introduced by Huang-Luk-Yau are two important local invariants for varieties with isolated singularities. We ...
    • Nuclear-magnetic-resonance quantum calculations of the Jones polynomial 

      Marx, Raimund; Fahmy, Amr; Kauffman, Louis; Lomonaco, Samuel; Pomplun, Nikolas; Myers, John M.; Glaser, Steffen J.; Spörl, Andreas; Schulte-Herbrüggen, Thomas (American Physical Society, 2010-03)
      The repertoire of problems theoretically solvable by a quantum computer recently expanded to include the approximate evaluation of knot invariants, specifically the Jones polynomial. The experimental implementation of this ...
    • A Rapid Method for Characterization of Protein Relatedness Using Feature Vectors 

      Carr, Kareem; Murray, Eleanor; Armah, Ebenezer; He, Rong L.; Yau, Stephen S.-T. (Public Library of Science, 2010-03-05)
      We propose a feature vector approach to characterize the variation in large data sets of biological sequences. Each candidate sequence produces a single feature vector constructed with the number and location of amino acids ...
    • Multivariable Hodge Theoretical Invariants of Germs of Plane Curves 

      Cassou-Nogues, Pierrette; Libgober, Anatoly S. (World Scientific Publishing, 2010-04-19)
      We describe methods for calculation of polytopes of quasiadjunction for plane curve singularities which are invariants giving a Hodge theoretical refinements of the zero sets of multivariable Alexander polynomials. In ...
    • Listen carefully: The risk of error in spoken medication orders 

      Lambert, Bruce L.; Dickey, Laura Wallsh; Fisher, William M.; Gibbons, Robert D.; Lin, Swu-Jane; Luce, Paul A.; McLennan, Conor T.; Senders, John W.; Yu, Clement T. (Elsevier, 2010-05)
      Clinicians and patients often confuse drug names that sound alike (Hicks, Becker, & Cousins, 2008). We conducted auditory perception experiments to assess the impact of similarity, familiarity, background noise and other ...
    • Linear Series on Ribbons 

      Chen, Dawei (American Mathematical Society, 2010-05-18)
      A ribbon is a double structure on P-1. The geometry of a ribbon is closely related to that of a smooth curve. In this paper we consider linear series on ribbons. Our main result is an explicit determinantal description for ...
    • Numerical Estimation of the Relative Entropy of Entanglement 

      Zinchenko, Yuriy; Friedland, Shmuel; Gour, Gilad (American Physical Society, 2010-11-29)
      We propose a practical algorithm for the calculation of the relative entropy of entanglement (REE), defined as the minimum relative entropy between a state and the set of states with positive partial transpose. Our algorithm ...
    • Counting substructures I: Color critical graphs 

      Mubayi, Dhruv (Elsevier, 2010-12-01)
      Let F be a graph which contains an edge whose deletion reduces its chromatic number. We prove tight bounds on the number of copies of F in a graph with a prescribed number of vertices and edges. Our results extend those ...