Works Published in 2005
Displaying works 41 - 60 of 142 in total
Sorted by most recent date added to the index first, which may not be the same as publication date order.
2005 journal article
Effective solution of linear Diophantine equation systems with an application in chemistry
Journal of Mathematical Chemistry, 39(1), 15–31.
author keywords: decomposition of overall reaction; linear Diophantine equations; linear programming
Sources: Crossref, NC State University Libraries
Added: July 28, 2019
2005 conference paper
Rotation invariant topology coding of 2D and 3D objects using Morse theory
IEEE International Conference on Image Processing 2005, 3, 796–799.
Contributors: S. Balocht, H. Krim n, I. Kogan* & D. Zenkov
Event: rnational Conference on Image Processing
TL;DR:
A numerical algorithm based on capturing the topology of a modified Reeb graph by tracking the critical points of a distance function, which employs Morse theory in the study of translation, rotation, and scale invariant skeletal graphs.
(via Semantic Scholar)
Sources: Crossref, ORCID, NC State University Libraries
Added: July 20, 2019
2005 journal article
How to get SIAM cooperation for your meeting
SIAM News, 38(2).
Source: NC State University Libraries
Added: July 10, 2019
2005 conference paper
3D object representation with topo-geometric shape models
Proceedings of European Signal Processing Conference (EUSIPCO), 2386–2389. http://www.scopus.com/inward/record.url?eid=2-s2.0-84863687976&partnerID=MN8TOARS
Contributors: S. Baloch, H. Krim, I. Kogan & D. Zenkov
Sources: NC State University Libraries, ORCID
Added: July 10, 2019
2005 journal article
The order dimension of Bruhat order on infinite Coxeter groups
The Electronic Journal of Combinatorics, 11(2), Research Paper 13, 26. http://www.combinatorics.org/Volume_11/Abstracts/v11i2r13.html
Contributors: N. Reading & D. Waugh
Sources: NC State University Libraries, ORCID
Added: July 10, 2019
2005 journal article
Lattice congruences, fans and Hopf algebras
Journal of Combinatorial Theory, Series A, 110(2), 237–273.
Contributors: N. Reading*
author keywords: Coexter group; fan poset; hyperplane arrangement; Malvenuto-Reutenauer Hopf algebra; pattern avoidance; permutohedron; poset of regions; weak order
TL;DR:
It is shown that if a family of lattice congruences On the symmetric groups satisfies certain compatibility conditions then the family defines a sub Hopf algebra of the Malvenuto-Reutenauer Hopfgebra of permutations, which is described by a type of pattern avoidance.
(via Semantic Scholar)
doi.org (publisher)
Sources: Crossref, ORCID, NC State University Libraries
Added: July 1, 2019
2005 journal article
On optimizing discrete Morse functions
Advances in Applied Mathematics, 35(3), 294–322.
TL;DR:
Under what conditions may several gradient paths in a discrete Morse function simultaneously be reversed to cancel several pairs of critical cells, to further collapse the complex, and which gradient paths are individually reversible in lexicographic discrete Morse functions on poset order complexes be addressed.
(via Semantic Scholar)
Source: Crossref
Added: June 30, 2019
2005 journal article
Transactions of the American Mathematical Society, 357(02), 509–535.
Source: Crossref
Added: June 30, 2019
2005 journal article
Toric Ideals of Phylogenetic Invariants
Journal of Computational Biology, 12(2), 204–228.
MeSH headings : Animals; Computational Biology / statistics & numerical data; Data Interpretation, Statistical; Humans; Models, Genetic; Phylogeny
TL;DR:
Generators and Gröbner bases are determined for the Jukes-Cantor and Kimura models on a binary tree and for several widely used models for biological sequences that have transition matrices that can be diagonalized by means of the Fourier transform of an Abelian group.
(via Semantic Scholar)
Source: Crossref
Added: June 30, 2019
2005 journal article
Small Contingency Tables with Large Gaps
SIAM Journal on Discrete Mathematics, 18(4), 787–793.
author keywords: disclosure limitation; integer programming; Grobner basis; contingency table
TL;DR:
Examples of contingency tables on n binary random variables where the gap between the linear programming lower/upper bound and the true integer lower/ upper bounds on cell entries is exponentially large provide evidence that linear programming may not be an effective heuristic for detecting disclosures when releasing margins of multiway tables.
(via Semantic Scholar)
Source: Crossref
Added: June 30, 2019
2005 journal article
A level-set method for interfacial flows with surfactant
Journal of Computational Physics, 212(2), 590–616.
author keywords: incompressible stokes flow; interfaces; insoluble surfactant; Marangoni force; capillary force; level set method; immersed interface method
TL;DR:
The method couples a semi-implicit discretization for solving the surfactant transport equation recently developed by Xu and Zhao with the immersed interface method originally developed by LeVeque and Li, for the first time that the level-set method has been used to simulate fluid interfaces with surfactants.
(via Semantic Scholar)
Source: NC State University Libraries
Added: May 17, 2019
2005 conference paper
Sparse multidimensional representation using shearlets
In A. F. L. M. Papadakis & M. A. Unser (Eds.), Wavelets XI: 31 July-3 August, 2005, San Diego, California, USA (pp. 254–262).
Ed(s): A. M. Papadakis & M. Unser
TL;DR:
A new class of multidimensional representation systems, called shearlets, obtained by applying the actions of dilation, shear transformation and translation to a fixed function, and exhibit the geometric and mathematical properties, e.g., directionality, elongated shapes, scales, oscillations are described.
(via Semantic Scholar)
Source: NC State University Libraries
Added: August 6, 2018
2005 journal article
Representations for the Drazin inverse of a 2 x 2 block matrix
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 27(3), 757–771.
author keywords: index; Drazin inverse; generalized Schur complement; weighted Drazin inverse
TL;DR:
Two representations for the Drazin inverse of a $2\times2$ block matrix M, where $A$ and $D$ are square matrices, are extended to the case where $C(I-AA^{D})=0$ and $(I- AA^{D)B=0) and the upper bounds for the index of $M$ are studied.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2005 article
A finite dimensional L-infinity algebra example in gauge theory
HOMOLOGY HOMOTOPY AND APPLICATIONS, Vol. 7, pp. 87–93.
author keywords: finite dimensional L-infinity algebra; gauge algebras
Source: Web Of Science
Added: August 6, 2018
2005 journal article
Periodic solutions of nonlinear second-order difference equations
ADVANCES IN DIFFERENCE EQUATIONS, (2), 173–192.
Source: Web Of Science
Added: August 6, 2018
2005 journal article
Global attractor of coupled difference equations and applications to Lotka-Volterra systems
ADVANCES IN DIFFERENCE EQUATIONS, (1), 57–79.
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2005 journal article
L-2 semigroup and linear stability for Riemann solutions of conservation laws
Dynamics of Partial Differential Equations, 2(4), 301–333.
UN Sustainable Development Goal Categories
15. Life on Land
(OpenAlex)
Source: NC State University Libraries
Added: August 6, 2018
2005 journal article
Focal power
Electronic Journal of Linear Algebra, 13, 56–71.
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(OpenAlex)
Source: NC State University Libraries
Added: August 6, 2018
2005 journal article
Well-posedness in Maxwell systems with distributions of polarization relaxation parameters
APPLIED MATHEMATICS LETTERS, 18(4), 423–430.
author keywords: well-posedness; Maxwell's equations with polarization; relaxation parameters
TL;DR:
This work presents existence, uniqueness and continuous dependence (with respect to probability distributions on polarization parameters) of solutions in Maxwell systems and provides a theoretical and computational foundation for associated inverse problems.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2005 journal article
Parameter estimation techniques for a class of nonlinear hysteresis models
INVERSE PROBLEMS, 21(4), 1363–1377.
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
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