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  • Creator(s):
    Kevin Roche
    Description:

    This record contains all data used in the experimental study, “Modeling benthic vs. hyporheic uptake in unshaded streams with varying substrates,” presently in review for the journal JGR-Biogeosciences.

    Date Created:
    2018-05-29
  • Creator(s):
    Jonathan Hauenstein, Alan Liddell, Yi Zhang
    Description:

    Standard interior point methods in semidefinite programming track a solution path for a homotopy defined by a system of polynomial equations. By viewing this in the context of numerical algebraic geometry, we are able to employ techniques to handle various cases which can arise. Adaptive precision path tracking techniques can help navigate around ill-conditioned areas. When the optimizer is singular with respect to the first-order optimality conditions, endgames can be used to efficiently and…

    Date Created:
    2018-04-10
  • Author(s):
    Thomas S. Fern
    Abstract:

    It is my view that a bookplate should reflect the donor’s interests and accomplishments as well as the symbols of the library where the collection is housed. The accomplishments and reputation of Marston Morse are so great that my first task, after studying hls life and career, was to somehow narrow my choices from dozens of significant milestones to a meaningful and manageable few.

    Date Created:
    1979-03-12
    Resource Type
    Document
  • Author(s):
    Rene De Vogelaere
    Abstract:

    Hamilton equations are such that the relation, between the coordinates and momenta at time t and at time t 0, is a contact transformation. Methods of integration of Hamilton equations, which do preserve the contact transformation property are given here. These methods are of first and second order. They are given, for the equation x= f(x,t), then for the case of one degree of freedom, then for the general case. Some of the formulae are implicit.

    Date Published:
    1956-04
  • Creator(s):
    Jonathan Hauenstein
    Description:

    A common problem when analyzing models, such as a mathematical modeling of a biological process, is to determine if the unknown parameters of the model can be determined from given input-output data. Identifiable models are models such that the unknown parameters can be determined to have a finite number of values given input-output data. The total number of such values over the complex numbers is called the identifiability degree of the model. Unidentifiable models are models such that th…

    Date Created:
    2018-03-09
  • Creator(s):
    Samantha Sherman, Jonathan Hauenstein
    Description:

    Computational tools in numerical algebraic geometry can be used to numerically approximate solutions to a system of polynomial equations. If the system is well-constrained (i.e., square), Newton’s method is locally quadratically convergent near each nonsingular solution. In such cases, Smale’s alpha theory can be used to certify that a given point is in the quadratic convergence basin of some solution. This was extended to certifiably determine the reality of the corresponding sol…

    Date Created:
    2018-03-08
  • Creator(s):
    Margaret Regan, Jonathan Hauenstein
    Description:

    A common computational problem is to compute topological information about a real surface defined by a system of polynomial equations. Our software, called polyTop, leverages numerical algebraic geometry computations from Bertini and Bertini_real with topological computations in javaPlex to compute the Euler characteristic, genus, Betti numbers, and generators of the fundamental group of a real surface. Several examples are used to demonstrate this new software.

    Date Created:
    2018-03-02
  • Author(s):
    Michael Hildreth
    Abstract:

    This report is a direct result of consultation with the research communities funded by the Mathematical and Physical Sciences (MPS) Directorate at the National Science Foundation (NSF). The goal of this effort is to provide feedback to NSF on current best practices with regard to research data curation, discovery, access, preservation, and re-use, and suggestions for areas of improvement and investment that could facilitate broader curation of, access to, and re-use of research data in the fu…

    Date Created:
    2017-08-31
    Resource Type
    Report
  • Creator(s):
    Sunny Boyd
    Description:

    Mate choice strategies in a spatially-explicit model environment

    Giordano B. S. Ferreira1, Matthias Scheutz1, and Sunny K. Boyd2 1Department of Computer Science, Tufts University, Medford, MA 02155, USA Matthias.scheutz@tufts.edu and Giordano.Ferreira@tufts.edu 2Department of Biological Sciences, University of Notre Dame, Notre Dame, IN 46556, USA Boyd.1@nd.edu (Corresponding author; phone: 574-631-5021; fax: 574-631-7413)

    Keywords: mate choice, decision-making, agent-based modeling, f…

    Date Created:
    2017-12-14
  • Creator(s):
    Jennifer Tank
    Description:

    This dataset contains data from 17 stream 15N-NH4 tracer addition experiments conducted globally, with data partitioned by autotrophic uptake compartments (i.e., epilithic biofilm, filamentous algae, bryophytes/macrophytes) and heterotrophic uptake compartments (i.e., leaves, small wood, and fine particles) that comprise the base of stream food webs. The dataset includes compartmental data on N biomass and uptake as well as other physiochemical variable that describe conditions in each stream.

    Date Created:
    2017-09-12
  • Author:
    Olivia F. Cox
    Advisory Committee:
    Paul W. Huber
    Degree Area:
    Chemistry and Biochemistry
    Degree:
    PhD
    Defense Date:
    2017-07-19
  • Author:
    Luis Ernesto Saumell
    Advisory Committee:
    Samuel R. Evens, Nero Budur
    Degree Area:
    Mathematics
    Degree:
    PhD
    Defense Date:
    2017-05-16