DSpace Collection:
http://hdl.handle.net/10077/4029
Sun, 29 Jan 2023 18:58:21 GMT2023-01-29T18:58:21ZSome Remarks on Homogeneous Minimal Reductions
http://hdl.handle.net/10077/4188
Title: Some Remarks on Homogeneous Minimal Reductions
Authors: Spangher, Walter
Abstract: Let I be a homogeneous ideal of a graded affine k–algebra
R such that there exists some homogeneous minimal reduction.
We prove that the degrees (of a basis) of every homogeneous
minimal reduction J of I are uniquely determined by I;
moreover if the fiber cone F(I) is reduced, then the last degree
of J is equal to the last degree of I. Moreover, if R is Cohen–
Macaulay and I is of analytic deviation one, with 0 < ht(I) := g,
it is shown that the first g degrees of J are equals to the first g
degrees of I.
These results are applied to the ideals I of $k[x_0, . . . , x_{d−1}]$,
which have scheme–th. generations of length \leq ht(I) + 2.
Some examples are given.Mon, 01 Jan 2007 00:00:00 GMThttp://hdl.handle.net/10077/41882007-01-01T00:00:00ZAn Algorithm for Reconstructing a Convex Polygon from its Covariogram
http://hdl.handle.net/10077/4126
Title: An Algorithm for Reconstructing a Convex Polygon from its Covariogram
Authors: Benassi, Carlo; D'Ercole, Giuliana
Abstract: The covariogram of a compact convex set $K \subset \mathbb R^n$ is
the function that at each point $x \in \mathbb R^n$
associates the volume of
$K \cap (K + x)$. The covariogram determines, among all convex
bodies, any planar convex polygon. In this paper we present an
algorithm for reconstructing an arbitrary convex polygon from its
covariogram.Mon, 01 Jan 2007 00:00:00 GMThttp://hdl.handle.net/10077/41262007-01-01T00:00:00ZOn the Limit Behavior in a Free Boundary Model for the Diffusion in a Polymer
http://hdl.handle.net/10077/4125
Title: On the Limit Behavior in a Free Boundary Model for the Diffusion in a Polymer
Authors: Gaudiano, Marcos; Godoy, Tomas; Turner, Cristina
Abstract: Free boundary problems arise modelling the sorption of
solvents into glassy polymers. There are physical reasons to expect that a convective condition with coefficient h, behaves asymptotically as a Dirichlet condition. In this work we prove, analyzing the uniform convergence the equivalence of these problems.
A condition is also derived that allows one to decide whether a
specific application lies within the asymptotic regime.Mon, 01 Jan 2007 00:00:00 GMThttp://hdl.handle.net/10077/41252007-01-01T00:00:00ZCountability Properties of the Pseudocompact-Open Topology on C (X ): A Comparative Study
http://hdl.handle.net/10077/4124
Title: Countability Properties of the Pseudocompact-Open Topology on C (X ): A Comparative Study
Authors: Kundu, S.; Garg, Pratibha
Abstract: The main goal of this paper is to study the countability
properties, such as the countable chain condition, Lindeöf property
and second countability of the pseudocompact-open topology
on C(X), the set of all continuous real-valued functions on a Tychonoff
space X. But in order to make this study fruitful, these
countability properties of the pseudocompact-open topology are
compared with those of the point-open and compact-open topologies
on C(X).Mon, 01 Jan 2007 00:00:00 GMThttp://hdl.handle.net/10077/41242007-01-01T00:00:00Z