Results 81 to 90 of about 1,025 (192)

Foreground and background: fractal unity of art and science

open access: yesFrontiers in Physics
IntroductionIn the last 50 years, fractals have been embraced by both artists and scientists. In this study, we link fractals to the question: What is the relationship between art and science?
Joseph O’Neill   +5 more
doaj   +1 more source

The Weierstrass representation of closed surfaces in R"3

open access: yes, 1997
In the present paper which a sequel to [19] and [20] a global Weierstrass representation of an arbitrary closed oriented surface of genus #>=#1 in the three-space is constructed. The Weierstrass spectrum of a torus immersed into R"3 is introduced
Taimanov, I.A. (Institute of Mathematics, Novosibirsk (Russian Federation))   +1 more
core  

Theoretical enhancement of the Gaussian filtering of engineering surfaces [PDF]

open access: yes, 2013
This study is an extension of the current use of Gaussian filters to smooth surface texture waveforms. It suggests an extension using Hermite polynomials to improve the definition of boundary lines and edges in the geometry of structured surfaces, and to
Whitehouse, D. J. (David J.)
core   +1 more source

Generalized Weierstrass representation for surfaces in Heisenberg spaces

open access: yesDifferential Geometry and its Applications, 2012
It is well-known that constant mean curvature surfaces immersed in Euclidean \(3\)-space admit an integral representation in terms of their Gauss maps which resembles the classical Weierstrass representation for minimal surfaces, and these also have harmonic Gauss map with target given by some Grassmannian space.
Alías, Luis J.   +2 more
openaire   +1 more source

Weierstrass representation, degree and classes of the surfaces in the four dimensional euclidean space

open access: yes, 2016
In this talk, we present on a minimal surface using Weierstrass representation inthe four dimensional Euclidean space.
Güler, Erhan   +2 more
core  

The wronskian and its derivatives [PDF]

open access: yes, 2011
Articolo testo di una conferenza tenuta presso l'Accademia Peloritana dei Pericolanti ...
Letterio Gatto, Gatto, Letterio
core   +1 more source

A Weierstrass representation for linear Weingarten spacelike surfaces of maximal type in the Lorentz–Minkowski space

open access: yes, 2003
In this work we extend the Weierstrass representation for maximal spacelike surfaces in the 3-dimensional Lorentz–Minkowski space to spacelike surfaces whose mean curvature is proportional to its Gaussian curvature (linear Weingarten surfaces of maximal ...
Aledo, Juan A., Gálvez, José A.
core   +1 more source

A generalized Weierstrass representation of Lorentzian surfaces in ℝ2,2 and applications [PDF]

open access: yesInternational Journal of Geometric Methods in Modern Physics, 2016
We give a generalized Weierstrass formula for a Lorentz surface conformally immersed in the four-dimensional space [Formula: see text] using spinors and Lorentz numbers. We also study the immersions of a Lorentzian surface in the Anti-de Sitter space (a pseudo-sphere in [Formula: see text]): we give a new spinor representation formula and deduce the ...
openaire   +3 more sources

The nonparametric integral of the Calculus of Variations as a Weierstrass integral: Existence and representation

open access: yesJournal of Mathematical Analysis and Applications, 1985
This article is reviewed together with the following one.
BRANDI, Primo, SALVADORI, Anna
openaire   +3 more sources

Determinantal representations of elliptic curves via Weierstrass elliptic functions

open access: yes, 2018
Helton and Vinnikov proved that every hyperbolic ternary form admits a symmetric derminantal representation via Riemann theta functions. In the case the algebraic curve of the hyperbolic ternary form is elliptic, the determinantal representation of the ...
Nakazato, Hiroshi, Chien, Mao-Ting
core   +1 more source

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