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Displaying 1901 – 1920 of 8738

Direct approach to mean-curvature flow with topological changes

Petr Pauš, Michal Beneš (2009)

Kybernetika

This contribution deals with the numerical simulation of dislocation dynamics. Dislocations are described by means of the evolution of a family of closed or open smooth curves $Γ (t) : S \to ℝ^{2}$ , $t ≧ 0$ . The curves are driven by the normal velocity $v$ which is the function of curvature $κ$ and the position. The evolution law reads as: $v = - κ + F$ . The motion law is treated using direct approach numerically solved by two schemes, i. e., backward Euler semi-implicit and semi-discrete method of lines. Numerical stability is improved...

Direct kinematics of double-triangular parallel manipulators.

Mohammadi Daniali, H.R., Zsombor-Murray, P.J., Angeles, J. (1996)

Mathematica Pannonica

Dirichlet points, Garnett points, and infinite ends of hyperbolic surfaces. I.

Haas, Andrew (1996)

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

Dirichlet regions in manifolds without conjugate points.

Hans-Christoph Im Hof, P.E. Ehrlich (1979)

Commentarii mathematici Helvetici

Disconnected regular $s$ -manifolds

Stefan Węgrzynowski (1981)

Commentationes Mathematicae Universitatis Carolinae

Disconnectedness of Sublevel Sets of Some Riemannian.

A. Nabutovsky (1996)

Geometric and functional analysis

Disconnections of plane continua

Bajguz, W. (2000)

Proceedings of the 19th Winter School "Geometry and Physics"

The paper deals with locally connected continua $X$ in the Euclidean plane. Theorem 1 asserts that there exists a simple closed curve in $X$ that separates two given points $x$ , $y$ of $X$ if there is a subset $L$ of $X$ (a point or an arc) with this property. In Theorem 2 the two points $x$ , $y$ are replaced by two closed and connected disjoint subsets $A$ , $B$ . Again – under some additional preconditions – the existence of a simple closed curve disconnecting $A$ and $B$ is stated.

Discrete and nondiscrete isometric deformations of surfaces in $ℝ^{3}$ .

Sa Earp, Ricardo, Toubiana, Eric (2002)

Sibirskij Matematicheskij Zhurnal

Discrete isothermic surfaces.

Ulrich Pinkall, Alexander Bobenko (1996)

Journal für die reine und angewandte Mathematik

Discrete Laplace cycles of period four

Hans-Peter Schröcker (2012)

Open Mathematics

We study discrete conjugate nets whose Laplace sequence is of period four. Corresponding points of opposite nets in this cyclic sequence have equal osculating planes in different net directions, that is, they correspond in an asymptotic transformation. We show that this implies that the connecting lines of corresponding points form a discrete W-congruence. We derive some properties of discrete Laplace cycles of period four and describe two explicit methods for their construction.

Discrete minimal surface algebras.

Arnlind, Joakim, Hoppe, Jens (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Discrete periodic geodesics in a surface.

Linnér, Anders, Renka, Robert (2005)

Experimental Mathematics

Discrete thickness

Sebastian Scholtes (2014)

Molecular Based Mathematical Biology

We investigate the relationship between a discrete version of thickness and its smooth counterpart. These discrete energies are deffned on equilateral polygons with n vertices. It will turn out that the smooth ropelength, which is the scale invariant quotient of length divided by thickness, is the Γ-limit of the discrete ropelength for n → ∞, regarding the topology induced by the Sobolev norm ‖ · ‖ W1,∞(S1,ℝd). This result directly implies the convergence of almost minimizers of the discrete energies...

Discreteness Conditions for the Laplacian on Complete, Non-Compact Riemannian Manifolds.

Regina Kleine (1988)

Mathematische Zeitschrift

Discrétisation de zeta-déterminants d’opérateurs de Schrödinger sur le tore

Laurent Chaumard (2006)

Bulletin de la Société Mathématique de France

Nous donnons ici deux résultats sur le déterminant $ζ$ -régularisé ${det}_{ζ} A$ d’un opérateur de Schrödinger $A = Δ_{g} + V$ sur une variété compacte $ℳ$ . Nous construisons, pour $ℳ = S^{1} \times S^{1}$ , une suite $(G_{n}, ρ_{n}, Δ_{n})$ où $G_{n}$ est un graphe fini qui se plonge dans $ℳ$ via $ρ_{n}$ de telle manière que $ρ_{n} (G_{n})$ soit une triangulation de $ℳ$ et où $Δ_{n}$ est un laplacien discret sur $G_{n}$ tel que pour tout potentiel $V$ sur $ℳ$ , la suite de réels $det (Δ_{n} + V)$ converge après renormalisation vers ${det}_{ζ} (Δ_{g} + V)$ . Enfin, nous donnons sur toute variété riemannienne compacte $(ℳ, g)$ de dimension inférieure ou égale à $3$ ...

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