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(Multi-)Persistent Homology and Topological Robotics
(2023-05-12)
After developing the relevant background and proving some general results in the early chapters, the main novel content of this thesis is the computation of the $i$-th homology groups of the second configuration spaces of ...
Tau functions for matrix hierarchies.
(1997)
The totality of all zero curvature equations with a rational dependence of connection matrices on a spectral parameter form a hierarchy, which means that all the corresponding vector fields commute. This is the so-called ...
Building fences around the chromatic coefficients.
(1997)
Although these bounding conditions do not allow us to completely predict all chromatic polynomials, they do serve to severely limit the form of polynomials considered to be candidates for the chromatic polynomial of some graph.
A psychometric analysis of the Statistics Concept Inventory.
(2006)
A clearer picture of student understanding emerges when the item analyses are combined with analyses obtained using IRT methods. In particular, the nominal response model appears to be able to shed light on persistent ...
Graph models and system diagnosis.
(1997)
The connectivity of a system is an important measure of fault tolerance. Typical interconnection networks are sparse and symmetrical. The classical diagnosis theories, such as t-diagnosability, are not appropriate for these ...
A comparison of solutions of a Boussinesq system and the Benjamin-Bona-Mahony equation.
(2000)
We compare solutions of a regularized Boussinesq model system for water waves to solutions of the Benjamin-Bona-Mahony equation. Both the system and the equation are obtained as formal approximations to the Euler equations ...
Shape groups, ANR-systems and related topics /
(The University of Oklahoma., 1972)
Lower radical and related classes for not necessarily associative rings /
(The University of Oklahoma., 1971)
Diconjugacy criteria for self-adjoint differential systems /
(The University of Oklahoma., 1968)