Works Published in 2012
Displaying works 21 - 40 of 188 in total
Sorted by most recent date added to the index first, which may not be the same as publication date order.
2012 journal article
Mirror-curves and knot mosaics
Computers & Mathematics with Applications, 64(4), 527–543.
author keywords: Knot; Mirror-curve; Knot mosaic; Grid diagram; Kauffman bracket polynomial; L-polynomial
TL;DR:
Codes for mirror-curves treated as knot or link diagrams placed in rectangular square grids, suitable for software implementation are introduced.
(via Semantic Scholar)
doi.org (publisher)
Sources: Crossref, ORCID
Added: December 21, 2020
2012 journal article
Real radical initial ideals
Journal of Algebra, 352(1), 392–407.
author keywords: Real algebraic geometry; Tropical geometry; Initial ideals; Semialgebraic sets; Preorders; Quadractic modules
Source: Crossref
Added: December 11, 2020
2012 conference paper
Improving Angular Speed Uniformity by Optimal C 0 Piecewise Reparameterization
In V. P. Gerdt, W. Koepf, E. W. Mayr, & E. V. Vorozhtsov (Eds.), Computer Algebra in Scientific Computing - 14th International Workshop, CASC 2012, Maribor, Slovenia, September 3-6, 2012. Proceedings (Vol. 7442, pp. 349–360).
Ed(s): V. Gerdt, W. Koepf, E. Mayr & E. Vorozhtsov
Source: ORCID
Added: November 6, 2020
2012 conference paper
Real solution formulas of cubic and quartic equations applied to generate dynamic diagrams with inequality constraints
In S. Ossowski & P. Lecca (Eds.), Proceedings of the 27th Annual ACM Symposium on Applied Computing - SAC '12 (pp. 94–101).
Ed(s): S. Ossowski & P. Lecca
TL;DR:
It is shown that for generating dynamic diagrams automatically the performance of this approach can be enhanced, in terms of stability of numeric computation and quality of generated diagrams, when the used solution formulas of cubic and quartic equations are replaced by newly introduced real solution formulas with inequality constraints.
(via Semantic Scholar)
Source: ORCID
Added: November 6, 2020
2012 journal article
Erratum to: The Method of Difference Potentials for the Helmholtz Equation Using Compact High Order Schemes
Journal of Scientific Computing, 53(2), 482–482.
Sources: Crossref, ORCID
Added: September 8, 2020
2012 journal article
The Central Curve in Linear Programming
Foundations of Computational Mathematics, 12(4), 509–540.
author keywords: Linear programming; Central path; Hyperplane arrangement; Interior-point methods; Complementary slackness; Matroid; Tutte polynomial; Hyperbolic polynomial; Gauss map; Degree; Curvature; Total curvature; Projective variety; Grobner basis; Prime ideal
Source: Crossref
Added: August 28, 2020
2012 journal article
Graph homology and graph configuration spaces
Journal of Homotopy and Related Structures, 7(2), 223–235.
author keywords: Configuration spaces; Spectral sequence; Homological perturbation
Sources: Crossref, ORCID
Added: August 28, 2020
2012 journal article
A CLT FOR INFORMATION-THEORETIC STATISTICS OF NON-CENTERED GRAM RANDOM MATRICES
Random Matrices: Theory and Applications, 01(02), 1150010.
author keywords: Central Limit Theorem; Shannon capacity; random matrices; spectral measure; Stieltjes transform
Sources: Crossref, ORCID
Added: August 24, 2020
2012 journal article
NO EIGENVALUES OUTSIDE THE SUPPORT OF THE LIMITING SPECTRAL DISTRIBUTION OF INFORMATION-PLUS-NOISE TYPE MATRICES
Random Matrices: Theory and Applications, 01(01), 1150004.
author keywords: Empirical spectral distribution; Stieltjes transform; information-plus-noise model
Sources: Crossref, ORCID
Added: August 24, 2020
2012 book
Quantized algebra and physics
In World Scientific Publishing Co. Pte. Ltd.
Source: ORCID
Added: April 23, 2020
2012 journal article
Preface
Algebra Colloquium, 19(2). http://www.scopus.com/inward/record.url?eid=2-s2.0-84859529475&partnerID=MN8TOARS
Contributors: J. Zhang & N. Jing
Source: ORCID
Added: April 23, 2020
2012 journal article
On classes of local unitary transformations
Algebra Colloquium, 19(2), 283–292. http://www.scopus.com/inward/record.url?eid=2-s2.0-84859558364&partnerID=MN8TOARS
Contributors: N. Jing
Source: ORCID
Added: April 23, 2020
2012 journal article
Applications of a Laplace–Beltrami operator for Jack polynomials
European Journal of Combinatorics, 33(4), 556–571.
Contributors: W. Cai* & N. Jing n
TL;DR:
A new method is used to study the Laplace-Beltrami type operator on the Fock space of symmetric functions, and it is shown that the Jack symmetrical functions are the only family of eigenvectors of the differential operator.
(via Semantic Scholar)
Sources: ORCID, Crossref
Added: April 23, 2020
2012 chapter
Improving Angular Speed Uniformity by Optimal C 0 Piecewise Reparameterization
In Computer Algebra in Scientific Computing (pp. 349–360).
TL;DR:
The C0 piecewise Mobius transformation is adapted to compute a C0 pieceswise-rational reparameterization of any plane curve that approximates to the arc-angle parameterization of the curve.
(via Semantic Scholar)
Sources: Crossref, ORCID
Added: February 24, 2020
2012 journal article
Mathematical Models of Dividing Cell Populations: Application to CFSE Data
Mathematical Modelling of Natural Phenomena, 7(5), 24–52.
author keywords: cell proliferation; cell division number; CFSE; ordinary differential equations; cytons; label structured population dynamics; partial differential equations; inverse problems
TL;DR:
An overview of the large body of mathematical models, along with their assumptions and uses, which have been proposed to describe the dynamics of proliferating cell populations are presented.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Crossref
Added: February 24, 2020
2012 journal article
Propagation of Growth Uncertainty in a Physiologically Structured Population
Mathematical Modelling of Natural Phenomena, 7(5), 7–23.
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Crossref
Added: February 24, 2020
2012 journal article
Preface. Distributed Parameter Systems in Immunology
Mathematical Modelling of Natural Phenomena, 7(5), 1–3.
author keywords: mathematical model; distributed parameter systems; immunophysiological systems; virus infections
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Crossref
Added: February 24, 2020
2012 chapter
From the Tamari lattice to Cambrian lattices and beyond
In F. Mueller-Hoissen, J. Pallo, & J. Stasheff (Eds.), Associahedra, Tamari Lattices and Related Structures: Tamari Memorial Festschrift (pp. 293–322).
Contributors: N. Reading n
Ed(s): F. Mueller-Hoissen, J. Pallo & J. Stasheff
UN Sustainable Development Goal Categories
15. Life on Land
(Web of Science)
Sources: ORCID, Web Of Science
Added: December 4, 2019
2012 journal article
Erratum and addendum to ``A variational theory of hyperbolic Lagrangian coherent structures, Physica D 240 (2011) 574-598''
Physica D, 241, 439–441.
Source: ORCID
Added: December 2, 2019
2012 journal article
Computing Lagrangian Coherent Structures from their variational theory
Chaos, 22, 013128.
MeSH headings : Algorithms; Computer Simulation; Nonlinear Dynamics; Oscillometry / methods; Rheology / methods
TL;DR:
A computational approach is introduced that renders attracting and repelling LCSs as smooth, parametrized curves in two-dimensional flows as trajectories of an autonomous ordinary differential equation for the tensor lines of the Cauchy-Green strain tensor.
(via Semantic Scholar)
Source: ORCID
Added: December 2, 2019
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