Results 41 to 50 of about 114,046 (322)

The Gauss map and secants of the Kummer variety

open access: yes, 2019
Fay's trisecant formula shows that the Kummer variety of the Jacobian of a smooth projective curve has a four dimensional family of trisecant lines. We study when these lines intersect the theta divisor of the Jacobian, and prove that the Gauss map of ...
Auffarth, Robert   +2 more
core   +1 more source

New official cartographic projection of Serbia [PDF]

open access: yesVojnotehnički Glasnik, 2012
A review of the elements of the mathematical base of our topographic maps is given. The Gauss-Kruger's conformal cylindric projection has been applied so far in Serbia and in the future the transversal Mercator's projection will be the official mapping ...
Mirko A. Borisov, Radoje D. Banković
doaj   +1 more source

Harmonic maps in unfashionable geometries

open access: yes, 2001
We describe some general constructions on a real smooth projective 4-quadric which provide analogues of the Willmore functional and conformal Gauss map in both Lie sphere and projective differential geometry.
Burstall, F. E., Hertrich-Jeromin, U.
core   +1 more source

SLAM on the Hexagonal Grid

open access: yesSensors, 2022
Hexagonal grids have many advantages over square grids and could be successfully used in mobile robotics as a map representation. However, there is a lack of an essential algorithm, namely, SLAM (simultaneous localization and mapping), that would ...
Piotr Duszak
doaj   +1 more source

Gauss maps of toric varieties [PDF]

open access: yesTohoku Mathematical Journal, 2017
We investigate Gauss maps of (not necessarily normal) projective toric varieties over an algebraically closed field of arbitrary characteristic. The main results are as follows: (1) The structure of the Gauss map of a toric variety is described in terms of combinatorics in any characteristic. (2) We give a developability criterion in the toric case. In
Furukawa, Katsuhisa, Ito, Atsushi
openaire   +3 more sources

SI‐bioATRP in Mesoporous Silica for Size‐Exclusion Driven Local Polymer Placement

open access: yesAdvanced Functional Materials, EarlyView.
An enzyme‐catalyzed surface‐initiated atom transfer radical polymerization (SI‐bioATRP) of an anionic monomer within mesoporous silica particles, using hemoglobin as a catalyst, allows for controlling the location of the formed polymer via size‐exclusion effects between the nanopores and the biomacromolecules, thereby opening routes to functional ...
Oleksandr Wondra   +8 more
wiley   +1 more source

Isothermic Surfaces and the Gauss Map [PDF]

open access: yesProceedings of the American Mathematical Society, 1988
We give a necessary and sufficient condition for the Gauss map of an immersed surface M M in n n -space to arise simultaneously as the Gauss map of an anti-conformal immersion of M M into the same space.
openaire   +2 more sources

Harmonic maps and constant mean curvature surfaces in $\H^2 \times \R$ [PDF]

open access: yes, 2005
We introduce a hyperbolic Gauss map into the Poincare disk for any surface in H^2xR with regular vertical projection, and prove that if the surface has constant mean curvature H=1/2, this hyperbolic Gauss map is harmonic.
Fernandez, Isabel, Mira, Pablo
core   +2 more sources

Broadband, Flexible, Skin‐Compatible Carbon Dots/Graphene Photodetectors for Wearable Applications

open access: yesAdvanced Functional Materials, EarlyView.
Broadband, flexible photodetectors integrating nitrogen‐rich carbon dots with single‐layer graphene on plastic substrates are demonstrated. A biocompatible chitosan–glycerol electrolyte enables efficient low‐voltage gating and on‐skin operation. The devices exhibit ultraviolet‐to‐near‐infrared response, mechanical robustness under bending, and verified
Nouha Loudhaief   +20 more
wiley   +1 more source

Constant Angle Ruled Surfaces with a Pointwise 1-Type Gauss Map

open access: yesMathematics
In this study, constant angle ruled surfaces with a pointwise 1-type Gauss map, which is very useful in the classification of surfaces, are investigated in terms of the Frenet elements of the base curves of the ruled surfaces in Euclidean 3-space.
Vladimir Baltić   +3 more
doaj   +1 more source

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