Results 11 to 20 of about 2,859,736 (314)
Conic sections in ferroelectric nematics: Experiments and mathematical modeling
Physical Review ResearchThe domain structure of a fluid ferroelectric nematic is dramatically different from the domain structure of solid ferroelectrics since it is not restricted by rectilinear crystallographic axes and planar surface facets. We demonstrate that thin films of
Priyanka Kumari +5 more
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International Journal of Antennas and Propagation, 2018 This work discusses an alternative geometrical optics (GO) technique to synthesize omnidirectional dual-reflector antennas with uniform aperture phase distribution together with an arbitrary main-beam direction for the antenna radiation pattern. Sub- and
Rafael A. Penchel +3 more
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Kepler’s Laws and Conic Sections [PDF]
Arnold Mathematical Journal, 2015 The Kepler's law reads as second order ODE \(\ddot{\pmb{\text{r}}} = -k |\pmb{\text{r}}|^{-3} \pmb{\text{r}}\), where \(\pmb{\text{r}}=(x,y)\) is the position of a planet \(P\) in the \(Oxy\)-plane and \(k\) is a coefficient of proportionality in the Newton law \(F=ma\). The author lifts \(P\) on the cone \(r^2=x^2+y^2\) and represents the lifted point
A. Givental
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Minimal sections of conic bundles
, 1995 Duke preprint, 29 pages.
Iliev, Atanas
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A new perspective on taxicab conic sections [PDF]
The Art of Discrete and Applied Mathematics, 2022 We explore taxicab conic sections from the perspective of slicing taxicab cones by planes, as opposed to the more well-studied approach from the perspective of distance formulations.
Emily Frost, D. Helliwell, S. Shergill
semanticscholar +1 more source
An application of Groebner bases to planarity of intersection of surfaces [PDF]
, 2009 In this paper we use Groebner bases theory in order to determine planarity of intersections of two algebraic surfaces in ${\bf R}^3$. We specially considered plane sections of certain type of conoid which has a cubic egg curve as one of the directrices ...
Malesevic, Branko, Obradovic, Marija
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, 2015 In the manner of Apollonius of Perga, but hardly any modern book, we investigate conic sections as such. We thus discover why Apollonius calls a conic section a parabola, an hyperbola, or an ellipse; and we discover the meanings of the terms abscissa and
Pierce, David
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, 2017 We recently showed how structures of ideal (thin) lenses can act as (ray-optical) transformation-optics devices. This was done by breaking the structure down into all sets of ideal lenses in the structure that share a common edge, and showing that these ...
Belin, Jakub +3 more
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Energy Science & Engineering, 2023 A water jet with an air ring protective layer is a promising rock‐breaking and cutting rate improvement method in submerged environment, such as oil–gas drilling. The jet flow field characteristic determines the jet impinge performance and is affected by
Liang Zhang +5 more
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On the Symbolic 3-Plithogenic Real Functions by Using Special AH-Isometry [PDF]
Neutrosophic Sets and Systems, 2023 In this paper, we study the symbolic 3-plithogenic real functions with one variable by using a special algebraic function called AH-isometry. In addition, we discuss the symbolic 3-plithogenic simple differential equations and conic sections by using ...
Nabil Khuder Salman
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