Ferroelectric nematic liquids with conics [PDF]
Nature Communications, 2023 Defect lines shaped as conic sections are common in smectic liquid crystals, where they manifest equidistance of molecular layers curled in space. Here authors present hyperbolas and parabolas as domain walls in ferroelectric nematics, which are shaped ...
Priyanka Kumari +3 more
doaj +2 more sources
A Geometric Theory Integrating Human Binocular Vision With Eye Movement [PDF]
Frontiers in Neuroscience, 2020 A theory of the binocular system with asymmetric eyes (AEs) is developed in the framework of bicentric perspective projections. The AE accounts for the eyeball's global asymmetry produced by the foveal displacement from the posterior pole, the main ...
Jacek Turski
doaj +2 more sources
On the Number of Ordinary Conics
SIAM Journal on Discrete Mathematics, 2016 We prove a lower bound on the number of ordinary conics determined by a finite point set in $\mathbb{R}^2$. An ordinary conic for a subset $S$ of $\mathbb{R}^2$ is a conic that is determined by five points of $S$, and contains no other points of $S ...
Frank De Zeeuw
exaly +3 more sources
Orthoptic Sets and Quadric Hypersurfaces
Communications in Advanced Mathematical Sciences, 2021 Orthoptic curves for the conics are well known. It is the Monge's circle for ellipse and hyperbola, and for parabola it is its directrix. These conics are level sets of quadratic functions in the plane. We consider level sets of quadratic functions in
François Dubeau
doaj +1 more source
Relationship between low-frequency electric-field fluctuations and ion conics around the cusp/cleft region [PDF]
Annales Geophysicae, 2006 We investigated the relationship between low-frequency (0.2-4.0 Hz) electric-field fluctuations (LEFs) and ion conics around the dayside cusp/cleft region in the altitude range from 5000 to 10000km from observations made by the Akebono satellite.
W. Miyake, A. Matsuoka, T. Mukai
doaj +1 more source
CONICS integrates scRNA-seq with DNA sequencing to map gene expression to tumor sub-clones [PDF]
Bioinformatics, 2018 Sören Müller, Daniel A Lim, Aaron Diaz
exaly +2 more sources
A Novel Necessary and Sufficient Condition for the Positivity of a Binary Quartic Form
Journal of Mathematics, 2021 In this paper, by considering the common points of two conics instead of the roots of the binary quartic form, we propose a novel necessary and sufficient condition for the positivity of a binary quartic form using the theory of the pencil of conics ...
Yang Guo
doaj +1 more source
Modeling of occurrence frequencies of ion conics as a function of altitude and conic angle [PDF]
Annales Geophysicae, 2000 The occurrence frequencies of dayside ion conics with various conic angles are obtained as a function of altitude from Exos-D (Akebono) observations. We made a model calculation of ion conic evolution to match the observation results.
W. Miyake, W. Miyake, T. Mukai, N. Kaya
doaj +1 more source
Confocal Families of Hyperbolic Conics via Quadratic Differentials
Axioms, 2023 We apply the theory of quadratic differentials, to present a classification of orthogonal pairs of foliations of the hyperbolic plane by hyperbolic conics.
Joel Langer, David Singer
doaj +1 more source
The Role of Tectonic Activities on Configuration and Conical Enlargement of the South Foothills of Aladagh [PDF]
جغرافیا و توسعه, 2009 Conics are some geomorphological shapes which have been formed especially in the south foothills on the Aladagh hights by various factors. These factors caused shaping in the past and enlargement at present conditions. One of these factors in shaping and
shahram rostaei +3 more
doaj +1 more source