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Mathematics: Recent submissions
Now showing items 161-180 of 462
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A Stochastic System Model for PageRank: Parameter Estimation and Adaptive Control
(University of Kansas, 2015-05-31)A key feature of modern web search engines is the ability to display relevant and reputable pages near the top of the list of query results. The PageRank algorithm provides one way of achieving such a useful hierarchical ... -
Commutators of Multilinear Singular Integral Operators with Pointwise Multiplication
(University of Kansas, 2015-05-31)In this dissertation we further develop the theory of commutators of multilinear singular integral operators with pointwise multiplication. Generally speaking, the commutator of two operators is itself an operator that ... -
On Kernels, β-graphs, and β-graph Sequences of Digraphs
(University of Kansas, 2015-05-31)We begin by investigating some conditions determining the existence of kernels in various classes of directed graphs, most notably in oriented trees, grid graphs, and oriented cycles. The question of uniqueness of these ... -
Lagrange’s equations
(University of Kansas, 1920) -
Linear complexes and congruences in modular geometry
(University of Kansas, 1922) -
Hessians and Steinerians of plane quartic curves
(University of Kansas, 1916) -
A problem on the triangle
(University of Kansas, 1916) -
Graphs of Polytopes
(University of Kansas, 2014-12-31)The graph of a polytope is the graph whose vertex set is the set of vertices of the polytope, and whose edge set is the set of edges of the polytope. Several problems concerning graphs of polytopes are discussed. The primary ... -
Solutions of Lattice Differential Equations over Inhomogeneous Media
(University of Kansas, 2012-12-31)This thesis investigates one-dimensional spatially-discrete reaction-diffusion equations with a diffusion term that involves nearest-neighbor coupling and with a reaction-term that is a smooth-cubic nonlinearity. Specifically, ... -
Projective differential properties of exponential curves
(University of Kansas, 1917) -
On the projective differential geometry of cubic ruled surfaces
(University of Kansas, 1915) -
Enumerating Colorings, Tensions and Flows in Cell Complexes
(Elsevier, 2014-02)We study quasipolynomials enumerating proper colorings, nowhere-zero tensions, and nowhere-zero flows in an arbitrary CW-complex X, generalizing the chromatic, tension and flow polynomials of a graph. Our colorings, tensions ... -
Pseudodeterminants and Perfect Square Spanning Tree Counts
(International Press, 2015-06)The pseudodeterminant pdet(M) of a square matrix is the last nonzero coe cient in its characteristic polynomial; for a nonsingular matrix, this is just the determinant. If @ is a symmetric or skewsymmetric matrix then ... -
Geometry of the quadrangle
(University of Kansas, 1916) -
A graphical solution for the complex roots of equations
(University of Kansas, 1920) -
Historical development of the number concept
(University of Kansas, 1918) -
Theory of reproducing kernels for Hilbert spaces of vector valued functions
(University of Kansas, 1957)The general theory of reproducing kernels developed by N. Aronszajn provides a unifying point of view for the study of an important class of Hilbert spaces of real or complex valued functions and for the application of ... -
On coaxial minors of determinants
(University of Kansas, 1922) -
Methods of generating plane cubic curves
(University of Kansas, 1921) -
The Riemann surface for the function W²=Z³+3tz+2
(University of Kansas, 1916)