1 The Cotangent Complex: General Theory 4 1.1 Stable Envelopes and Tangent Bundles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.2 Relative Adjunctions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 1.3 The Tangent Correspondence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 1.4 The Relative Cotangent Complex...

The use of Riemannian manifolds and their statistics has recently gained popularity in a wide range of applications involving non-linear data modeling. For instance, they have been used to model shape changes in the brain [1] and human motion [3]. In this work we tackle the problem of approximating the Probability Density Function (PDF) of a potentially large dataset that lies on a known Rieman...

The split-radix FFT computes a size-n complex DFT, when n is a large power of 2, using just 4n lgn−6n+8 arithmetic operations on real numbers. This operation count was first announced in 1968, stood unchallenged for more than thirty years, and was widely believed to be best possible. Recently James Van Buskirk posted software demonstrating that the split-radix FFT is not optimal. Van Buskirk’s ...

We describe an algorithm for computing the separating common tangents of two simple polygons using linear time and only constant workspace. A tangent of a polygon is a line touching the polygon such that all of the polygon lies to the same side of the line. A separating common tangent of two polygons is a tangent of both polygons where the polygons are lying on different sides of the tangent. E...

We present a tool that supports the elaboration of behaviour models and scenario-based specification by providing scenario editing, behaviour model synthesis, and model checking for implied scenarios.

Article history: Received 21 August 2007 Accepted 12 September 2008 Available online 22 October 2008 Submitted by R.A. Brualdi AMS classification: 15A60 65F99

Motivated by the concept of tangent measures and by H. Fürstenberg’s definition of microsets of a compact set A we introduce micro tangent sets and central micro tangent sets of continuous functions. It turns out that the typical continuous function has a rich (universal) micro tangent set structure at many points. The Brownian motion, on the other hand, with probability one does not have graph...

Abstract This work aims to investigate the ultimate capacity of reinforced concrete elements in terms cracking and stiffness loss. Nonlinear finite element analysis (NLFEA) was performed ATENA software compared with a proposed numerical simulation nonlinear static (NLSA), where material is evaluated based on loss tangent elements. The applied low-rise frame constant axial loads columns, monoton...

An atomic force microscope was used to measure the loss tangent, tan , of a pressure-sensitive adhesive transfer tape as a function of frequency (0.01 to 10 Hz). For the measurement, the sample was oscillated normal to the surface and the response of the cantilever resting on the polymer surface (as measured via the photodiode) was monitored. Both oscillation amplitude and phase were recorded a...