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Journal of Algebra, ISSN 0021-8693, 02/2020, Volume 544, pp. 92 - 124
In this paper, we describe the worst unstable points of a Hilbert scheme for some special Hilbert polynomials and ambient spaces using Murai's work on Gotzmann monomial sets... 
Geometric invariant theory | Castelnuovo-Mumford regularity | Hilbert scheme | Hesselink stratification | Gotzmann theorems | K-stability | MATHEMATICS | INSTABILITY
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 09/2016, Volume 309, pp. 106 - 130
We study a symmetric BEM–FEM coupling scheme for the scattering of transient acoustic waves by bounded inhomogeneous anisotropic obstacles in a homogeneous field... 
Convolution quadrature | BEM–FEM coupling | Transient wave equation | EXTERIOR | BOUNDARY INTEGRAL-EQUATIONS | POTENTIALS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | FINITE | ENGINEERING, MULTIDISCIPLINARY | BEM-FEM coupling | ELEMENT METHODS | UNBOUNDED-DOMAINS | PROPAGATION | Anisotropy | Analysis
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 03/2013, Volume 240, pp. 174 - 183
The empirical mode decomposition (EMD) has been developed by N.E. Huang et al. in 1998 as an iterative method to decompose a nonlinear and nonstationary... 
Sparse data-adapted basis | Empirical mode decomposition (EMD) | Envelope | Convex optimization | Instantaneous frequencies | Intrinsic mode functions (IMFs) | HILBERT | MATHEMATICS, APPLIED | TRANSFORM | Analysis | Algorithms | Envelopes | Construction | Mathematical analysis | Decomposition | Mathematical models | Iterative methods | Empirical analysis | Optimization
Journal Article
Communications in Algebra, ISSN 0092-7872, 09/2019, Volume 47, Issue 9, pp. 3614 - 3628
We study the singularities of the isospectral Hilbert scheme B n of n points over a smooth algebraic surface and we prove that they are canonical if , log-canonical if and not log-canonical... 
crepant resolution | log-canonical thresholds | canonical singularities | Isospectral Hilbert scheme of points | MATHEMATICS | RINGS | RATIONAL-SINGULARITIES | MULTIPLIER IDEALS | Singularities
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2008, Volume 214, Issue 1, pp. 186 - 201
.... Second, by virtue of this result we introduce a hybrid iterative scheme for finding a common element of the set of solutions of MEP and the set of common fixed points of finitely many nonexpansive mappings... 
Hilbert spaces | Mixed equilibrium problems | Hybrid iterative schemes | [formula omitted]-Strongly convex functions | Nonexpansive mappings | KKM mappings | η-Strongly convex functions | eta-Strongly convex functions | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | INEQUALITIES | mixed equilibrium problems | CONVERGENCE | hybrid iterative schemes | ALGORITHMS | VISCOSITY APPROXIMATION METHODS | nonexpansive mappings
Journal Article
Journal of Algebra and its Applications, ISSN 0219-4988, 03/2018, Volume 18, Issue 2
Given a 0-dimensional scheme X in a projective space P-K(n) over a field K, we characterize the Cayley-Bacharach property (CBP... 
Dedekind different | Dedekind’s formula | Hilbert function | almost Gorenstein | Cayley–Bacharach scheme | Zero-dimensional scheme | MATHEMATICS | MATHEMATICS, APPLIED | RINGS | Dedekind's formula | Cayley-Bacharach scheme | CANONICAL MODULE | POINT
Journal Article
Sensors (Switzerland), ISSN 1424-8220, 08/2018, Volume 18, Issue 8, p. 2487
...). Different from existing data collection models in WSNs, we propose a collaborative data collection scheme based on optimal clustering to collect the sensed data in an energy-efficient and load-balanced manner... 
Data collection | Wireless sensor networks | Clustering | Compressed sensing | Optimization | ELECTROCHEMISTRY | CHEMISTRY, ANALYTICAL | INSTRUMENTS & INSTRUMENTATION | wireless sensor networks | compressed sensing | optimization | RECONSTRUCTION | clustering | ALGORITHMS | data collection | EFFICIENT | Remote sensors | Energy consumption | Core wire | Data compression | Energy distribution | Data transmission | Computational geometry | Hilbert curve | Algorithms | Collaboration | Collection | Convexity
Journal Article
1994, 2nd rev. and expanded ed., ISBN 9780387575544, 2 v.
Book
Computers & Security, ISSN 0167-4048, 02/2015, Volume 48, pp. 131 - 141
.... In this paper, we propose a new data hiding method which can increase the steganographic security of a data hiding scheme because it is less detectable by RS detection attack and the steganalytic... 
Data hiding | Exploiting modification directions | Hilbert curve | Optimization problem | PVD | STEGANALYSIS | IMAGE | ROBUST | EMBEDDING EFFICIENCY | COMPUTER SCIENCE, INFORMATION SYSTEMS | STEGANOGRAPHIC METHOD | Steganography | Eyes | Surface layer | Digits | Images | Computer information security | Estimates | Texture | Pixels
Journal Article
Journal de mathématiques pures et appliquées, ISSN 0021-7824, 09/2015, Volume 104, Issue 3, pp. 403 - 435
.... Vasserot to relate knot invariants to the Hilbert scheme of points on C2. Then we use the methods of the second author to compute these invariants explicitly in the uncolored case... 
Torus knots | Hilbert scheme | Double affine Hecke algebra | 14F05 | 14C05 | 55A25 | TESLER MATRICES | ELLIPTIC HALL ALGEBRA | MATHEMATICS, APPLIED | COMPACTIFIED JACOBIANS | HECKE ALGEBRAS | AFFINE SPRINGER FIBERS | FINITE-DIMENSIONAL REPRESENTATIONS | RATIONAL CHEREDNIK ALGEBRAS | T-CATALAN NUMBERS | MATHEMATICS | FIXED-POINT VARIETIES | QUOTIENT RING | Algebra
Journal Article
Journal of the Mathematical Society of Japan, ISSN 0025-5645, 2016, Volume 68, Issue 3, pp. 1325 - 1356
Let D be a smooth divisor on a non singular surface S. We compute the Betti numbers of the Hilbert scheme of points of S relative to D... 
Relative hilbert scheme | Hilbert scheme of points | MATHEMATICS | LOCALIZATION | K-THEORY | relative Hilbert scheme | HOMOLOGY | Mathematics - Algebraic Geometry
Journal Article
Periodica Mathematica Hungarica, ISSN 0031-5303, 9/2016, Volume 73, Issue 1, pp. 93 - 99
In this note we investigate the generating series of the Euler characteristics of the Hilbert scheme of points on cyclic quotient singularities of type (p, 1... 
Mathematics, general | Mathematics | p -fountain | Cyclic quotient singularity | Hilbert scheme | p-fountain | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Annali di Matematica Pura ed Applicata (1923 -), ISSN 0373-3114, 2/2017, Volume 196, Issue 1, pp. 19 - 41
... of a Grassmannian and then the double-generic initial ideal of a so-called GL-stable subset of a Hilbert scheme... 
15A75 | 14E08 | Generic initial ideal | Irreducible component | Hilbert scheme | Rationality | Mathematics, general | 14Q15 | Mathematics | Maximal Hilbert function | Extensor | 14C05 | MATHEMATICS | MATHEMATICS, APPLIED | FAMILIES | COMBINATORIAL APPROACH | INVOLUTION | STABLE IDEALS | Algebra
Journal Article
Journal of Engineering Mechanics, ISSN 0733-9399, 08/2018, Volume 144, Issue 8, p. 4018063
Journal Article