Results 101 to 110 of about 84,048 (226)

Minimization of hypersurfaces

open access: yesMathematics of Computation
Let F ∈ Z [ x 0 , … , x n ] F \in \mathbb {Z}[x_0, \ldots , x_n] be homogeneous of degree  d d and assume that F F is not a ‘nullform’, i.e., there is an invariant 
Elsenhans, Andreas-Stephan   +1 more
openaire   +2 more sources

Right Conoids Demonstrating a Time-like Axis within Minkowski Four-Dimensional Space

open access: yesMathematics
In the four-dimensional Minkowski space, hypersurfaces classified as right conoids with a time-like axis are introduced and studied. The computation of matrices associated with the fundamental form, the Gauss map, and the shape operator specific to these
Yanlin Li, Erhan Güler
doaj   +1 more source

Generic hypersurface singularities

open access: yesProceedings - Mathematical Sciences, 1997
We give a new differential proof of our result on the maximal rank of generic unions of points of multiplicity two in projective space in degrees greater than five. This simplifies somewhat our proof of the Waring conjecture.
André Hirschowitz, J. Alexander
openaire   +4 more sources

Polymer brush hypersurface photolithography

open access: yesNature Communications, 2020
Various lithographic approaches are being explored to create polymer brush patterns with micrometer-scale feature dimensions. Here the authors demonstrate a printing approach which allows independent control of the monomer composition and feature height ...
Carlos Carbonell   +7 more
doaj   +1 more source

Quantum fields and entanglement on a curved lightfront

open access: yesPhysics Letters B, 2015
We consider field quantization on an arbitrary null hypersurface in curved spacetime. We discuss the de Sitter horizon as the simplest example, relating the horizon quantization to the standard Fock space in the cosmological patch.
Illan Halpern, Yasha Neiman
doaj   +1 more source

UNIRATIONALITY OF CUBIC HYPERSURFACES [PDF]

open access: yesJournal of the Institute of Mathematics of Jussieu, 2002
Segre proved that a smooth cubic surface over Q is unirational iff it has a rational point. We prove that the result also holds for cubic hypersurfaces over any field, including finite fields.
openaire   +3 more sources

Extended Darboux frame curvatures of Frenet curves lying on parametric 3-surfaces

open access: yesKuwait Journal of Science, 2019
In this paper, we consider a Frenet curve lying on a parametric hypersurface in 4-dimensional Euclidean space and obtain the expressions of its curvatures with respect to the ...
Bahar Uyar Düldül, Mustafa Düldül
doaj  

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