Concept

Singular point of an algebraic variety

Related publications (92)

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Pattern transfer and post processing of complex nanostructures formed by e-beam exposure in PMMA

Nico de Rooij, Sebastian Gautsch

We present results on various post processing techniques to create complex 3-dimensional nanostructures with enhanced capabilities. The starting point for all architectures is a self aligned nanopillar with surrounding circular rim in PMMA. This particular ...

Elsevier2011

A Nanoscale Parametric Feedback Oscillator

Luis Guillermo Villanueva Torrijo

We describe and demonstrate a new oscillator topology, the parametric feedback oscillator (PFO). The PFO paradigm is applicable to a wide variety of nanoscale devices and opens the possibility of new classes of oscillators employing innovative frequencydet ...

2011

Goal-Based Caustics

Wenzel Alban Jakob, Marios Papas

We propose a novel system for designing and manufacturing surfaces that produce desired caustic images when illuminated by a light source. Our system is based on a nonnegative image decomposition using a set of possibly overlapping anisotropic Gaussian ker ...

2011

Ultrafast X-ray Science: Structural Transients in Solution

We discuss two techniques of ultrafast X-ray science implemented at synchrotrons with application to the study of the real-time dynamics of chemical systems in solution. Time-resolved X-ray scattering and absorption offer complementary ways to study geomet ...

Elsevier2010

RF breakdown prediction for microwave passive components in multi-carrier operation

Michael Mattes

This work addresses the multipactor problem for multi-carrier operation inside rectangular waveguide based devices, by means of numerical simulations of the electron trajectories and multiplication inside the structure. Accurate field calculation and takin ...

Springer2010

By their apps you shall understand them: mining large-scale patterns of mobile phone usage

Daniel Gatica-Perez

Mobile phones are becoming more and more widely used nowadays, and people do not use the phone only for communication: there is a wide variety of phone applications allowing users to select those that fit their needs. Aggregated over time, application usag ...

2010

Almost-Uniform Sampling of Points on High-Dimensional Algebraic Varieties

Mohammad Amin Shokrollahi, Mahdi Cheraghchi Bashi Astaneh

We consider the problem of uniform sampling of points on an algebraic variety. Specifically, we develop a randomized algorithm that, given a small set of multivariate polynomials over a sufficiently large finite field, produces a common zero of the polynom ...

2009

Dealing with singularities in nonlinear unconstrained optimization

Michel Bierlaire, Michaël Clément Louis Ghislain Thémans

We propose a new trust region based optimization algorithm for solving unconstrained nonlinear problems whose second derivatives matrix is singular at a local solution. We give a theoretical characterization of the singularity in this context and we propos ...

2009

Real-time 3D electromagnetic field measurement instrument with direct visualization

Nowadays, a wide variety of terminals are proposed to nomadic users. Generally these terminals provide wireless communication operating at frequencies between one and a few GHz. For technical reasons, including multiple access to the communication channel ...

Elsevier2009

Validation of a Polynomial Model for Generic Cameras

This paper discusses practical implementation of a generic camera model for a wide variety of common cameras equipped with catadioptric, fish-eye, short- or long focal length lenses. A unified approach of deriving approximate model parameters followed by a ...

2009