In a previous paper we showed that the absence of the van Dam-Veltman-Zakharov discontinuity as M 2 → 0 for massive spin-2 with a Λ term is an artifact of the tree approximation, and that the discontinuity reappears at one loop, as a result of going from five degrees of freedom to two. In this paper we show that a similar classical continuity but quantum discontinuity arises in the " partially ...

form (Cameron et al., 2009b). The following changes have been made to the chapters in this thesis with respect to the original publications. In Chapter 2, minor editorial changes have been made for continuity with other chapters in the thesis, as well as to correct an error in reporting degrees freedom in one-way ANOVA statistical tests. Editorial changes include: „nonswitch‟ to „non-switch‟; „...

We study two questions associated with rational approximation of a function f(z) near the origin z-0: continuity of the Pad approximation operator, and convergence of Chebyshev to Pad ap-proximants as the domain of approximation shrinks to a point. Both become delicate in the case of degenerate approximations, i.e. approximations whose numerator and denominator are deficient in degree. In this ...

Boundary states for D-branes are constructed using the light cone gauge. The D-brane breaks half the spacetime supersymmetry giving rise to fermionic zero modes living on the brane. The nonlinear realization of the broken supersymmetry on the open string degrees of freedom is analysed and the influence of boundary terms coming from closed string vertex operators is discussed. 1 Boundary states ...

In this paper, we give a new proof of the solution of the rational covariance extension problem, an interpolation problem with historical roots in potential theory, and with recent application in speech synthesis, spectral estimation, stochastic systems theory, and systems identification. The heart of this problem is to parameterize, in useful systems theoretical terms, all rational, (strictly)...

Motion of physical objects in the world is, in general, nonrigid. In robotics and computer vision, the motion of nonrigid objects is of growing interest to researchers from a wide spectrum of disciplines. The nonrigid objects being studied may be generally categorized into three groups according to the degree of deformation of body parts: articulated, elastic, and fluid. In articulated motion, ...

This paper is concerned with the sequence of positive linear operators obtained by certain generating functions polynomials and investigation its approximation properties in detail. Initially, convergence theorem expressed for constructed this article using universal Korovkin-type then considering modulus continuity Lipschitz class, an estimate degree operators. Moreover, generalization involvi...

It is well known that a function analytic in the right half plane can be constructed from its real part alone, or (modulo an additive constant) from its imaginary part alone via the Hilbert transform. It is also known that a stable minimum phase transfer function can be reconstructed from its gain alone, or (modulo a multiplicative constant) from its phase alone, via the Bode gain/phase relatio...

Robert A. Dahl was born in 1915, graduated from the University of Washington and wrote his doctoral dissertation at Yale University; its title, Socialist Programs and Democratic Politics: An Analysis, opened his research agenda. As he later recalled: “I began it a few weeks after the signing of the Nazi-Soviet Pact in Moscow... I turned to the final chapters during the invasion of Norway, compl...

The medial axis of a plane domain is deened to be the set of the centers of the maximal inscribed disks. It is essentially the cut loci of the inward unit normal bundle of the boundary. We prove that if a plane domain has nite number of boundary curves each of which consists of nite number of real analytic pieces, then the medial axis is a connected geometric graph in R 2 with nitely many verti...