Results 1  10
of
223
A Fast Marching Level Set Method for Monotonically Advancing Fronts
 PROC. NAT. ACAD. SCI
, 1995
"... We present a fast marching level set method for monotonically advancing fronts, which leads to an extremely fast scheme for solving the Eikonal equation. Level set methods are numerical techniques for computing the position of propagating fronts. They rely on an initial value partial differential eq ..."
Abstract

Cited by 630 (24 self)
 Add to MetaCart
We present a fast marching level set method for monotonically advancing fronts, which leads to an extremely fast scheme for solving the Eikonal equation. Level set methods are numerical techniques for computing the position of propagating fronts. They rely on an initial value partial differential
Some Extremal Problems On The Hyperbolic Polygons
, 1998
"... We study some isoperimetric problems for plane polygons. In particular we show that among all hyperbolic ngons with a fixed number of sides the regular one has the maximal value of the ratio "conformal radius perimeter". For ngon admitting a full nsides reflection by the amplification ..."
Abstract

Cited by 4 (0 self)
 Add to MetaCart
with extremal problems on hyperbolic polygons. In particular we shall give solutions of two problems of this kind posed by J. Hersch in [6]. By a (topological) ngon Dn , n 2, we mean a simply connected domain D on a Riemann surface R with n distinguished boundary points a 1 ; a 2 ; : : : ; an ordered
Hyperbolic geometry: the first 150 years
 Bull. Amer. Math. Soc., New Ser
, 1982
"... This will be a description of a few highlights in the early history of noneuclidean geometry, and a few miscellaneous recent developments. An Appendix describes some explicit formulas concerning volume in hyperbolic 3space. The mathematical literature on noneuclidean geometry begins in 1829 with ..."
Abstract

Cited by 82 (0 self)
 Add to MetaCart
This will be a description of a few highlights in the early history of noneuclidean geometry, and a few miscellaneous recent developments. An Appendix describes some explicit formulas concerning volume in hyperbolic 3space. The mathematical literature on noneuclidean geometry begins in 1829
nonuniformly hyperbolic dynamical
, 2014
"... of convergence to an extreme value distribution for ..."
Three extremal problems for hyperbolically convex functions
 Computational Methods and Function Theory 4 (2004
"... Abstract. In this paper we apply a variational method to three extremal problems for hyperbolically convex functions posed by Ma and Minda and Pommerenke [7, 16]. We first consider the problem of extremizing Re f(z). We determine the minimal value and give a z new proof of the maximal value previous ..."
Abstract

Cited by 2 (1 self)
 Add to MetaCart
Abstract. In this paper we apply a variational method to three extremal problems for hyperbolically convex functions posed by Ma and Minda and Pommerenke [7, 16]. We first consider the problem of extremizing Re f(z). We determine the minimal value and give a z new proof of the maximal value
LX annos nato COMPARISON OF HYPERBOLIC AND EXTREMAL LENGTHS
"... Let S be a hyperbolic Riemann surface of finite type (that is, S: (JIG, whete Uis the upper halfplane and G is a flnitely generated, torsionfree Fuchsian group), and let w be a hyperbolic simple loop on S (that is, w is a simple loop on S, and w is represented by a hyperbolic element A in G). There ..."
Abstract
 Add to MetaCart
). There are two natural notions of length for such a loop: first, there is the hyperbolic length / ofthe shortest geodesic freely homotopic to w on S, and second, there is the extremal length m of the family of loops freely homotopic to w on S. The purpose of this note is to give some comparisons between
AN EXTREMAL PROBLEM FOR THE HYPERBOLIC METRIC ON DENJOY DOMAINS
"... Abstract. Suppose that Ω is a domain in the extended complex plane and assume Ω contains the origin and that the boundary of Ω lies on the interval [−1, 1] and has total length 2m, 0 < m < 1. We study the problem of finding the infimum of the density of the hyperbolic metric λ(0,Ω) at the orig ..."
Abstract
 Add to MetaCart
Abstract. Suppose that Ω is a domain in the extended complex plane and assume Ω contains the origin and that the boundary of Ω lies on the interval [−1, 1] and has total length 2m, 0 < m < 1. We study the problem of finding the infimum of the density of the hyperbolic metric λ(0,Ω
Seven More Myths of Formal Methods
 IEEE SOFTWARE
, 1995
"... In 1990, Anthony Hall published a seminal article that listed and dispelled seven myths about the nature and application of formal methods. Today  five years and many successful applications later  formal methods remain one of the most contentious areas of softwareengineering practice.
Despite 25 ..."
Abstract

Cited by 137 (18 self)
 Add to MetaCart
methods does little to help the situation. In many "popular press" science journals, formal methods are subjected to either deep criticism or, worse, extreme hyperbole. Fortunately, today these myths are held more by the public and the computerscience community at large than by system
Results 1  10
of
223