3,720 research outputs found
The subdivision of large simplicial cones in Normaliz
Normaliz is an open-source software for the computation of lattice points in
rational polyhedra, or, in a different language, the solutions of linear
diophantine systems. The two main computational goals are (i) finding a system
of generators of the set of lattice points and (ii) counting elements
degree-wise in a generating function, the Hilbert Series. In the homogeneous
case, in which the polyhedron is a cone, the set of generators is the Hilbert
basis of the intersection of the cone and the lattice, an affine monoid.
We will present some improvements to the Normaliz algorithm by subdividing
simplicial cones with huge volumes. In the first approach the subdivision
points are found by integer programming techniques. For this purpose we
interface to the integer programming solver SCIP to our software. In the second
approach we try to find good subdivision points in an approximating overcone
that is faster to compute.Comment: To appear in the proceedings of the ICMS 2016, published by Springer
as Volume 9725 of Lecture Notes in Computer Science (LNCS
Four generated, squarefree, monomial ideals
Let be two squarefree monomial ideals of a polynomial algebra
over a field generated in degree , resp. . Suppose that
is either generated by three monomials of degrees and a set of monomials of
degrees , or by four special monomials of degrees . If the Stanley
depth of is then the usual depth of is too.Comment: to appear in "Bridging Algebra, Geometry, and Topology", Editors
Denis Ibadula, Willem Veys, Springer Proceed. in Math. and Statistics, 96,
201
The Good Doctor: Exploring and Designing a Journey through Simon and Chekhov’s Russia
This thesis is an exploratory look at the process for designing the costumes for Neil Simon’s The Good Doctor. This production was produced at the University of New Orleans as part of its 2012-2013 season.
Within this thesis we explore the multifaceted journey of the costume design process. As a designer, it is one’s job to use both historical and textual analysis in order to create a design that supports the thematic structure of the play. The following journey begins with initial research on the complex relationship between Neil Simon and his subject Anton Chekhov. It continues to include individual character concepts, as well as a re-telling of the production process. Finally, it concludes with an analysis of the validity of the design as a whole.
Costume Design, Neil Simon, Anton Chekhov, The Good Docto
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Dispersal in microbes: fungi in indoor air are dominated by outdoor air and show dispersal limitation at short distances.
The indoor microbiome is a complex system that is thought to depend on dispersal from the outdoor biome and the occupants' microbiome combined with selective pressures imposed by the occupants' behaviors and the building itself. We set out to determine the pattern of fungal diversity and composition in indoor air on a local scale and to identify processes behind that pattern. We surveyed airborne fungal assemblages within 1-month time periods at two seasons, with high replication, indoors and outdoors, within and across standardized residences at a university housing facility. Fungal assemblages indoors were diverse and strongly determined by dispersal from outdoors, and no fungal taxa were found as indicators of indoor air. There was a seasonal effect on the fungi found in both indoor and outdoor air, and quantitatively more fungal biomass was detected outdoors than indoors. A strong signal of isolation by distance existed in both outdoor and indoor airborne fungal assemblages, despite the small geographic scale in which this study was undertaken (<500 m). Moreover, room and occupant behavior had no detectable effect on the fungi found in indoor air. These results show that at the local level, outdoor air fungi dominate the patterning of indoor air. More broadly, they provide additional support for the growing evidence that dispersal limitation, even on small geographic scales, is a key process in structuring the often-observed distance-decay biogeographic pattern in microbial communities
Linear resolutions of powers and products
The goal of this paper is to present examples of families of homogeneous
ideals in the polynomial ring over a field that satisfy the following
condition: every product of ideals of the family has a linear free resolution.
As we will see, this condition is strongly correlated to good primary
decompositions of the products and good homological and arithmetical properties
of the associated multi-Rees algebras. The following families will be discussed
in detail: polymatroidal ideals, ideals generated by linear forms and Borel
fixed ideals of maximal minors. The main tools are Gr\"obner bases and Sagbi
deformation
(Bi-)Cohen-Macaulay simplicial complexes and their associated coherent sheaves
Via the BGG correspondence a simplicial complex Delta on [n] is transformed
into a complex of coherent sheaves on P^n-1. We show that this complex reduces
to a coherent sheaf F exactly when the Alexander dual Delta^* is
Cohen-Macaulay. We then determine when both Delta and Delta^* are
Cohen-Macaulay. This corresponds to F being a locally Cohen-Macaulay sheaf.
Lastly we conjecture for which range of invariants of such Delta it must be a
cone.Comment: 16 pages, some minor change
Time Domain Simulations of the CLIC PETS (Power Extraction and Transfer Structure) with GdfidL
The Compact Linear Collider (CLIC) PETS is required to produce about 0.5 GW RF power per metre in the 30 GHz CLIC decelerator when driven by the high current beam (~ 270 A). To avoid beam break-up in the decelerator it is necessary to provide strong damping of the transverse deflecting modes. A PETS geometry with a level of damping consistent with stable drive beam operation has been designed, using the frequency domain code HFSS. A verification of the overall performance of this structure has been made recently using the code GdfidL, which permits a very fine mesh analysis of a full-length structure in the time domain. This paper gives the results of this analysis
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