Concept

Singularity (mathematics)

Related publications (56)

Bifurcation at isolated singular points of the Hadamard derivative

For Banach spaces X and Y, we consider bifurcation from the line of trivial solutions for the equation F(lambda, u) = 0, where F : R x X -> Y with F(lambda, 0) = 0 for all lambda is an element of R. The focus is on the situation where F(lambda, center dot) ...

Royal Society of Edinburgh Scotland Foundation, Cambridge2014

Analytical shape derivatives of the MFIE system matrix discretized with RWG functions

Juan Ramon Mosig

An analytical formula for the shape derivative of the magnetic field integral equation (MFIE) method of moments (MoM) system matrix (or impedance matrix) is derived and validated against finite difference formulas. The motivation for computing the shape de ...

Institute of Electrical and Electronics Engineers2013

Accurate reconstruction of discontinuous functions using the singular pade-chebyshev method

Jan Sickmann Hesthaven

In this paper, we present a singularity-based resolution of the Gibbs phenomenon that obstructs the reconstruction of a function with jump discontinuities by a truncated Chebyshev series or a PadÃ©-Chebyshev approximation. We tackle the more difficult case ...

2012

Local Multilayer Analytic Sensing For Eeg Source Localization: Performance Bounds And Experimental Results

Dimitri Nestor Alice Van De Ville, Thierry Blu, Clotaire Michel, Djano Kandaswamy

Analytic sensing is a new mathematical framework to estimate the parameters of a multi-dipole source model from boundary measurements. The method deploys two working principles. First, the sensing principle relates the boundary measurements to the volumetr ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2011

Dionis: A novel remote-center-of-motion parallel manipulator for Minimally Invasive Surgery

Hannes Bleuler, Reymond Clavel, Giulio Rognini, Laura Santos Carreras

The large volume and reduced dexterity of current surgical robotic systems are factors that restrict their effective performance. To improve the usefulness of surgical robots in minimally invasive surgery (MIS), a compact and accurate positioning mechanism ...

Ios Press2011

Analytical Footprints: Compact Representation of Elementary Singularities in Wavelet Bases

Michaël Unser, Dimitri Nestor Alice Van De Ville, Thierry Blu

We introduce a family of elementary singularities that are point-Holder alpha-regular. These singularities are self-similar and are the Green functions of fractional derivative operators; i.e., by suitable fractional differentiation, one retrieves a Dirac ...

Institute of Electrical and Electronics Engineers2010

Phase transitions in full counting statistics for periodic pumping

Dmitri Ivanov

We discuss the problem of full counting statistics for periodic pumping. The probability generating function is usually defined on a circle of the "physical" values of the counting parameter, with its periodicity corresponding to charge quantization. The e ...

2010

The Singularity System

James Richard Larus

Safe, modern programming languages let Microsoft rethink the architectural trade-offs in its experimental operating system. ...

ACM2010

Hybrid-functional calculations with plane-wave basis sets: Effect of singularity correction on total energies, energy eigenvalues, and defect energy levels

Alfredo Pasquarello, Peter Broqvist, Audrius Alkauskas

When described through a plane-wave basis set, the inclusion of exact nonlocal exchange in hybrid functionals gives rise to a singularity, which slows down the convergence with the density of sampled k points in reciprocal space. In this work, we investiga ...

2009

Some properties of non-positively curved lattices

Nicolas Monod

We announce results on the structure of CAT(0) groups, CAT(0) lattices and of the underlying spaces. Our statements rely notably on a general study of the full isometry groups of proper CAT(0) spaces. Classical statements about Hadamard manifolds are estab ...

2008

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