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Fuzzy Sets and Systems, ISSN 0165-0114, 01/2016, Volume 283, pp. 83 - 107
In this study, we attempt to construct fuzzy circles in a fuzzy geometrical plane. We provide a comprehensive study where we find a fuzzy number with a... 
Fuzzy distance | Fuzzy number | Fuzzy point | Same and inverse points | Fuzzy circle | Fuzzy number along a line | MATHEMATICS, APPLIED | SET | VORONOI DIAGRAM | STATISTICS & PROBABILITY | PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS | POINTS
Journal Article
Chemometrics and Intelligent Laboratory Systems, ISSN 0169-7439, 2009, Volume 96, Issue 1, pp. 22 - 26
The spectral pre-treatments known as standard normal variate (SNV) and multiplicative scatter correction (MSC) often give very similar results, and are widely... 
Outlier | Circle | Standard normal variate | Ellipse | Multiplicative scatter correction | Scores | SNV | Imaging spectroscopy | MSC | CHEMISTRY, ANALYTICAL | STATISTICS & PROBABILITY | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | INSTRUMENTS & INSTRUMENTATION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | AUTOMATION & CONTROL SYSTEMS
Journal Article
AIChE Journal, ISSN 0001-1541, 08/2019, Volume 65, Issue 8, p. n/a
Journal Article
The American Mathematical Monthly, ISSN 0002-9890, 02/2015, Volume 122, Issue 2, pp. 144 - 150
In this article, we discuss the cardiod. We give purely geometric proofs of its wellknown properties. 
Circles | Geometry | Tangents | Cardioids | Triangles | Geometric centers | Perpendicular lines | Parabolas | ARTICLES | Mathematical cusps | Vertices | MATHEMATICS | Usage | Design and construction | Proof theory | Geometric constructions | Closed curves | Methods | Curves
Journal Article
Journal Article
Results in Mathematics, ISSN 1422-6383, 12/2019, Volume 74, Issue 4, pp. 1 - 25
A geodesic circle in Finsler geometry is a natural extension of that in a Euclidean space. In this paper, we study geodesic circles and (infinitesimal)... 
Einstein metric | 53B40 | Geodesic circle | lie derivative | Cartan Y -connection | Mathematics, general | Mathematics | 53C60 | conformal/concircular transformation | flag curvature | MATHEMATICS | MATHEMATICS, APPLIED | Cartan Y-connection | conformal | concircular transformation
Journal Article
ACM Transactions on Graphics (TOG), ISSN 0730-0301, 11/2015, Volume 34, Issue 6, pp. 1 - 10
Structures and objects are often supposed to have idealized geometries such as straight lines or circles. Although not always visible to the naked eye, in... 
deviation | geometry | magnification | Geometry | Deviation | Magnification | Eyes | Quantitative evaluation | Circles (geometry) | Images | Straight lines
Journal Article
Aequationes mathematicae, ISSN 0001-9054, 8/2018, Volume 92, Issue 4, pp. 763 - 800
The n-dimensional integer lattice, denoted by $${{\mathbb {Z}}}^n$$ Zn , is the subset of $${{\mathbb {R}}}^n$$ Rn consisting of those points whose coordinates... 
52B20 | Geometry of numbers | Lattice polygon | 11P21 | 11H06 | 52C05 | Mathematics | 52C07 | Pick’s theorem | Steinhaus’ lattice point problem | Analysis | Integer lattice | Combinatorics | SIMPLICES | MATHEMATICS, APPLIED | POINT PROBLEM | NUMBER | SPACES | PICKS THEOREM | PROOF | POLYTOPES | CIRCLE | MATHEMATICS | Pick's theorem | Steinhaus' lattice point problem | EMBEDDINGS | POLYGONS | Integers | Set theory
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 01/2017, Volume 445, Issue 1, pp. 746 - 761
For a general symmetric ordinary differential expression M and a positive weight function w, the authors characterized the dissipative and strictly dissipative... 
Boundary conditions | Limit-circle solutions | Dissipative subspaces | Dissipative extensions | Symplectic geometry | MATHEMATICS | MATHEMATICS, APPLIED | ORDINARY DIFFERENTIAL-OPERATORS | SPECTRUM
Journal Article
Communications on Pure and Applied Analysis, ISSN 1534-0392, 07/2012, Volume 11, Issue 4, pp. 1407 - 1419
We show that the modified Constantin-Lax-Majda equation modeling vortex and quasi-geostrophic dynamics [27] can be recast as the geodesic flow on the subgroup... 
Euler equation on diffeomorphisms group of the circle | CLM equation | DIFFEOMORPHISMS | MATHEMATICS | HUNTER-SAXTON EQUATION | MATHEMATICS, APPLIED | MOTION | ONE-DIMENSIONAL MODEL | GEODESIC-FLOW | Mathematics | Mathematical Physics | Analysis of PDEs | Physics
Journal Article
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, ISSN 0138-4821, 6/2018, Volume 59, Issue 2, pp. 221 - 246
The principle of duality is well established in projective geometry but can hardly be found in the literature on Euclidean geometry where it is “more a... 
03B30 | Euclidean geometry | Principle of duality | Mathematics | 51F15 | Geometry | Self-dual order structure | 51G05 | Algebra | 51M05 | Convex and Discrete Geometry | Algebraic Geometry | Circle geometry
Journal Article
Educational Studies in Mathematics, ISSN 0013-1954, 11/2013, Volume 84, Issue 3, pp. 439 - 460
Journal Article
Discrete Mathematics, ISSN 0012-365X, 09/2014, Volume 330, pp. 61 - 75
Let F be a finite set of circles in the plane. The usual convex closure restricted to F yields a convex geometry, which is a combinatorial structure introduced... 
Convex geometry | Anti-exchange property | Lower semimodular lattice | Geometry of circles | Planar lattice | MATHEMATICS | THEOREM | REPRESENTATION | LATTICES | COMPOSITION SERIES | Names | Planes | Mathematical analysis | Lattices | Proving | Closures | Circles (geometry) | Combinatorial analysis
Journal Article
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