Browse by Subject "Mathematics"

  • Speissegger, Patrick Urs (1996)
    Infinitely representable functions are introduced, and it is proved that the expansion $\IR\sb{\cal G}$ of the field of reals by a certain subfamily of all infinitely representable functions (namely, the family of so-called ...
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  • Foguel, Tuval Shmuel (1992)
    This paper deals with finite groups, and has two parts. In part I J. L. Brenner and James Wielgold (I,3) defined a finite nonabelian group G as lying in $\Gamma\sb1\sp{(2)}$ (spread one-two) if for every 1 $\not=$ x $\in$ ...
    untranslated PDF (2MB)Restricted to U of Illinois
  • Kim, Eunsang (1996)
    With regards to certain complete Riemannian manifolds we show that the analytic assembly map is rationally injective by using the exotic index theorem. The foliation exotic index theorem of S. Hurder is an extension of the ...
    untranslated PDF (4MB)Restricted to U of Illinois
  • Reed, Mary Lynn (1995)
    In the representation theory of semisimple algebraic groups in positive characteristic, the induced line bundles, ${\cal L}$($\lambda$), on the flag variety G/B, are important objects of study. E.g., their global sections ...
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  • Zitney, Stephen Edward (1989)
    We present several frontal algorithms for solving the large, sparse, linear equation systems arising in equation-based (EB) chemical process flowsheeting. The frontal approach is generally used as a banded matrix solver ...
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  • Gunaratne, Haputantirige Sunil (1991)
    We obtain the following generalization of the Kummer congruence: $$G\sb{c}(j,\chi,n) = -\left\lbrack{p\sp{-1}\Delta\sb{\rm c}\atop j}\right\rbrack {1\over n}(1 - \chi\omega\sp{-n}(p)\ p\sp{n-1}) B\sb{n,\chi\omega\sp{-n}} ...
    untranslated PDF (1MB)Restricted to U of Illinois
  • Kim, Hobum (1990)
    Given a Riemannian foliation ${\cal F}$ on a Riemannian manifold M with a bundle-like metric, geometric and dynamical properties of geodesics orthogonal to the leaves of the foliation are studied.
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  • Maddila, Sanjeev Rao (1989)
    This thesis proposes a decomposition-based algorithmic paradigm, called planning with local experts, where the given global planning problem is decomposed into a set of subproblems that are each solved efficiently in a ...
    untranslated PDF (6MB)Restricted to U of Illinois
  • Lee, Jinsik Mok (1992)
    Suppose that X is a real or complex Banach space with norm $\vert \cdot \vert$. Then X is a Hilbert space if and only if $E\vert x + Y\vert \geq 1$ for all x $\in$ X and all X-valued Bochner integrable functions Y on the ...
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  • Kline, Bradford J. (1995)
    We prove a global result for rational functions that is analogous to a local theorem of L. E. Boettcher (1904). Under the hypotheses that f is a complex rational function with a superattractive fixed point $\alpha$ of order ...
    untranslated PDF (2MB)Restricted to U of Illinois
  • McGuinness, Patrick James (1992)
    A graph H is a minor of another graph G, denoted by $H\ {\prec\sb{m}}\ G,$ if a graph isomorphic to H can be obtained from G by a series of vertex deletions, edge deletions, and edge contractions. Graph minors have been ...
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  • Chang, Yi-Wu (1994)
    We introduce star number (tree number) of a graph G, which is the minimum t such that G is the intersection graph of unions of t substars (subtrees) of a host tree. We characterize the graphs with star number 1 and prove ...
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  • Sanders, Robin Sue (1990)
    The graphs on which dihedral, quaternion, and abelian groups act vertex and/or edge transitivity are completely characterized. The vertex transitive graphs belong to one of three families--the well known circulant graphs, ...
    untranslated PDF (6MB)Restricted to U of Illinois
  • LaFramboise, Thomas Louis (1995)
    In his 1978 paper, The Grothendieck-Cousin complex of an induced representation, G. Kempf computes the Cousin complex corresponding to an induced representation of a reductive algebraic group G. His technique uses the ...
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  • Kwon, Ki-Ho (1991)
    We show that for all entire f with $\vert{\rm f}(0)\vert\ge 1$ and all ${\rm r}>0$, $$\rm log\ M(r,f)\le d\sb\alpha T(r,f)\sp{1\over 2}T(\alpha r,f)\sp{1\over 2},\leqno(*)$$and$$\rm m\sbsp{p}{+}(r,f)\le d\sbsp{\alpha}{p-1\over ...
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  • Feuerman, Kenneth Edward (1991)
    The Hanna Neumann Conjecture states that if two subgroups of a finitely generated free group have finite ranks m and n, then their intersection has rank N which satisfies $N$ $-$ 1 $\leq$ ($m$ $-$ 1)($n$ $-$ 1). The current ...
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  • Kerofsky, Louis Joseph (1995)
    We construct examples illustrating various aspects of Hodge theory on Riemannian manifolds. We consider the relationship between the harmonic forms on a product space and the harmonic forms on the factors as well as the ...
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  • Cavagnaro, Catherine Elizabeth (1995)
    In this paper, we present two new spines for ribbon disc complements. We describe Craggs's 3-dimensional spine and introduce a 2-dimensional spine ${\cal W}\sp2$ which we show satisfies the homotopy reciprocity law. We ...
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  • Zivaljevic, Bosko T. (1989)
    A famous theorem of P. Hall gives a necessary and sufficient condition for a bipartite graph $\Gamma$ to possess a matching f. (A bipartite graph $\Gamma$ is a subset of the cartesian product of two finite sets X and Y. A ...
    untranslated PDF (6MB)Restricted to U of Illinois
  • Wang, Xiaoge (1994)
    A new family of preconditioners for conjugate gradient-like iterative methods applied to large sparse linear least squares problems, $min\Vert Ax-b\Vert\sb2$, is proposed. The family is based on incomplete Gram-Schmidt ...
    untranslated PDF (10MB)Restricted to U of Illinois