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Journal of Inequalities and Applications, ISSN 1025-5834, 12/2019, Volume 2019, Issue 1, pp. 1 - 12
In this paper, we give another proof of the Orlicz–Lorentz centroid inequality which is obtained by Nguyen (Adv. Appl. Math. 92:99–121, 2018). We prove that a... 
Orlicz–Lorentz centroid body | Shadow system | Analysis | Mathematics, general | Steiner’s symmetrization | Mathematics | Applications of Mathematics | Orlicz–Lorentz centroid inequality | MATHEMATICS | MATHEMATICS, APPLIED | Orlicz-Lorentz centroid body | Orlicz-Lorentz centroid inequality | AFFINE | BRUNN-MINKOWSKI THEORY | Steiner's symmetrization
Journal Article
by Feng, Y and Ma, T
Acta Mathematica Hungarica, ISSN 0236-5294, 10/2019, Volume 159, Issue 1, pp. 211 - 228
This paper studies the extrema of some affine invariant functionals related to the volume of the Orlicz–Lorentz centroid body introduced by Nguyen. We obtain... 
52A20 | Orlicz–Lorentz Busemann–Petty centroid inequality | 52A40 | Orlicz–Lorentz centroid body | Mathematics, general | Mathematics | the shadow system | MATHEMATICS | Orlicz-Lorentz centroid body | MINKOWSKI-FIREY THEORY | Orlicz-Lorentz Busemann-Petty centroid inequality | MASS | AFFINE | BODIES | Equality
Journal Article
European Journal of Operational Research, ISSN 0377-2217, 01/2013, Volume 224, Issue 1, pp. 101 - 109
► We present a branch-and-cut algorithm for the discrete (p∣r)-centroid problem. ► Our formulation has a polynomial number of variables. ► We define... 
Integer programming | Competitive location | (r∣p)-Centroid problem | (rp)-Centroid problem | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | (r vertical bar p)-Centroid problem | Usage | Centroids (Geometry) | Branch and bound algorithms | Analysis
Journal Article
Advances in Applied Mathematics, ISSN 0196-8858, 01/2018, Volume 92, pp. 99 - 121
We extend the definition of the centroid body operator to an Orlicz–Lorentz centroid body operator on the star bodies in Rn, and establish the sharp affine... 
Orlicz–Lorentz Busemann–Petty centroid inequality | Orlicz–Lorentz centroid body | Steiner's symmetrization | Affine isoperimetric inequalities | MATHEMATICS, APPLIED | Orlicz-Lorentz centroid body | MINKOWSKI-FIREY THEORY | Orlicz-Lorentz Busemann-Petty centroid inequality | MASS | AFFINE
Journal Article
Physics of the Earth and Planetary Interiors, ISSN 0031-9201, 2005, Volume 148, Issue 2, pp. 327 - 351
Centroid–moment-tensor (CMT) solutions are presented for 1087 earthquakes that occurred during 2003. The solutions are obtained using the method of Dziewonski... 
Earthquakes | Global seismicity | Centroid–moment-tensor solution | Centroid-moment-tensor solution | GEOCHEMISTRY & GEOPHYSICS | PARAMETERS | earthquakes | JULY-SEPTEMBER | global seismicity | centroid-moment-tensor solution | Water waves | Seismic waves | Seismology
Journal Article
Information Sciences, ISSN 0020-0255, 11/2015, Volume 320, pp. 156 - 189
Recommender systems have the ability to filter unseen information for predicting whether a particular user would prefer a given item when making a choice. Over... 
Collaborative filtering | Centroid (seed) selection clustering | Recommender systems | K-means clustering | COMPUTER SCIENCE, INFORMATION SYSTEMS | ALGORITHM | Analysis | Algorithms | Machine learning | Recommendations | Vector quantization | Clusters | Strategy | Centroids | Cost engineering
Journal Article
Physics of the Earth and Planetary Interiors, ISSN 0031-9201, 06/2012, Volume 200-201, pp. 1 - 9
► Presents moment-tensor solutions for 13,017 earthquakes. ► Describes improvements in the CMT analysis. ► Provides exhaustive description of CMT procedures. ►... 
Earthquakes | Centroid-moment tensor | Global seismicity | SOURCE PARAMETERS | GEOCHEMISTRY & GEOPHYSICS | MODERATE | SEISMICITY | SURFACE-WAVES | SEQUENCE | MODEL | Seismology | Analysis
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 07/2016, Volume 271, Issue 2, pp. 454 - 473
We show that the Lp Busemann–Petty centroid inequality provides an elementary and powerful tool to the study of some sharp affine functional inequalities with... 
Affine Sobolev inequalities | [formula omitted] Busemann–Petty centroid inequality | Affine logarithmic inequalities | Busemann-Petty centroid inequality
Journal Article
Optics Express, ISSN 1094-4087, 03/2016, Volume 24, Issue 6, pp. 5961 - 5983
Under dynamic conditions, star spots move across the image plane of a star tracker and form a smeared star image. This smearing effect increases errors in star... 
CENTROID ESTIMATION | COMPENSATION | PERFORMANCE | ALGORITHM | EXPOSURE TIME | SENSOR | RESTORATION | OPTICS
Journal Article
International Transactions in Operational Research, ISSN 0969-6016, 01/2019, Volume 26, Issue 1, pp. 340 - 363
Journal Article
Indiana University Mathematics Journal, ISSN 0022-2518, 1/2011, Volume 60, Issue 5, pp. 1655 - 1672
A classification of all continuous GL(n) equivariant Minkowski valuations on convex bodies in ℝn is established. Together with recent results of F.E. Schuster... 
Polytopes | Geometry | Integers | Hyperplanes | Differentials | Centroids | Mathematical inequalities | Ellipsoids | Vertices | Valuation | Difference body | Centroid body | MATHEMATICS | valuation | difference body | CONVOLUTIONS | CENTROID BODIES | INVARIANT VALUATIONS | centroid body
Journal Article
Information Sciences, ISSN 0020-0255, 05/2016, Volume 343-344, pp. 15 - 40
In this paper, we propose a new similarity measure between intuitionistic fuzzy values based on the centroid points of transformed right-angled triangular... 
Centroid points | Right-angled triangular fuzzy numbers | Intuitionistic fuzzy sets | Intuitionistic fuzzy values | Similarity measures | CLUSTERING-ALGORITHM | DISTANCE | COMPUTER SCIENCE, INFORMATION SYSTEMS | VAGUE SETS | DECISION-MAKING METHOD | Fuzzy logic | Fuzzy sets | Similarity | Centroids | Fuzzy set theory | Pattern recognition | Fuzzy | Fuzzy systems
Journal Article
Information Sciences, ISSN 0020-0255, 2007, Volume 177, Issue 2, pp. 360 - 377
The centroid of an interval type-2 fuzzy set (IT2 FS) provides a measure of the uncertainty of such a FS. Its calculation is very widely used in interval... 
Centroid | Centroid properties | Interval type-2 fuzzy set | Fuzzy granule | Type-2 fuzzy set | LOGIC SYSTEMS | type-2 fuzzy set | fuzzy granule | centroid | COMPUTER SCIENCE, INFORMATION SYSTEMS | interval type-2 fuzzy set | centroid properties
Journal Article
Hystrix, ISSN 0394-1914, 2013, Volume 24, Issue 1, pp. 59 - 66
We briefly and informally review the concepts of size, shape, and form and how they are estimated in geometric morphometrics using Procrustes analysis. We... 
Form space | Shape space | Face shape | Allometry | Centroid size | Procrustes | EVOLUTIONARY | face shape | SPACES | PATTERNS | form space | ATTRACTIVENESS | PROCRUSTES ANALYSIS | allometry | DIGIT RATIO | ZOOLOGY | centroid size | ONTOGENY | BIOLOGY | shape space | SIZE ALLOMETRY | FACE
Journal Article
by Chen, S and Liu, D and Zhang, W and You, L and He, Y and Yang, X and Wu, G and Ren, M and Zeng, H and Wang, Z and Xie, X and Jiang, M
Applied Optics, ISSN 1559-128X, 05/2013, Volume 52, Issue 14, pp. 3241 - 3245
We developed a time-correlated single-photon counting (TCSPC) system based on the low-jitter superconducting nanowire single-photon detection (SNSPD)... 
Centroids
Journal Article
Advances in Applied Mathematics, ISSN 0196-8858, 10/2011, Volume 47, Issue 4, pp. 820 - 828
In this paper, the Orlicz centroid body, defined by E. Lutwak, D. Yang and G. Zhang, and the extrema of some affine invariant functionals involving the volume... 
Orlicz centroid body | The parallel chord movement | The shadow system | Orlicz centroid Busemann–Petty inequality | Orlicz centroid Busemann-Petty inequality | MATHEMATICS, APPLIED | MINKOWSKI-FIREY THEORY | BODIES | AFFINE ISOPERIMETRIC-INEQUALITIES | Equality | Centroids | Functionals | Two dimensional | Mathematical analysis | Invariants | Inequalities
Journal Article
The Mathematical Gazette, ISSN 0025-5572, 11/2018, Volume 102, Issue 555, pp. 538 - 539
Journal Article
Pattern Recognition, ISSN 0031-3203, 03/2014, Volume 47, Issue 3, pp. 1172 - 1186
In this paper we aim to characterize graphs in terms of a structural measure of complexity. Our idea is to decompose a graph into layered substructures of... 
Entropy difference | Entropy | Centroid vertex | Centroid expansion subgraphs | Graph classification | Depth-based complexity traces | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | KERNELS | ENGINEERING, ELECTRICAL & ELECTRONIC | Computer science | Machine vision | Analysis | Substructures | State of the art | Shortest-path problems | Strategy | Graphs | Centroids | Complexity
Journal Article