Abstract We show that the geometric realisation of poset proper parabolic subgroups a large-type Artin group has systolic geometry. use this geometry to set is stable under arbitrary intersections and forms lattice for inclusion. As an application, we groups are taking roots completely characterise conjugacy stable. also perspective recover unify results describing normalisers groups.

Photography is practical for recording and measuring some aspects of forest fire behavior i f the scale and perspective can be determined. This paper describes a photogrammetric method for measuring flame height and rate of spread for fires on flat terrain. The flames are photographed at known times wi th a camera in front of the advancing fire. Scale and perspective of the photographs are dete...

1 " GetReal " is one of the many retrieval methods within the VB scripting language which prompts the user for numerical or textual input required by the program in order to execute the script.The word " real " designates a real number as opposed to an integer only. By way of metaphor, this implies the translation of performance-driven data into geometry. In historic design conventions geometry...

This paper contains a fully geometric formulation of the General Equation for Non-Equilibrium Reversible-Irreversible Coupling (GENERIC). Although GENERIC, which is sum Hamiltonian mechanics and gradient dynamics, framework unifying vast range models in non-equilibrium thermodynamics, it has unclear structure due to diverse origins dynamics. The difference can be overcome by cotangent lifts lea...

Due to their omnidirectional view, the use of catadioptric cameras is of great interest for robot localization and visual servoing. For simplicity, most vision-based algorithms use image processing tools (e.g. image smoothing) that were designed for perspective cameras. This can be a good approximation when the camera displacement is small with respect to the distance to the observed environmen...

Only few space images do have a perspective geometry like aerial cameras. But also the Russian perspective photos do have not negligible systematic image errors. By this reason special mathematical models have to be used for a correct handling of the space images. Polynomial models, often used for remote sensing purposes, are no economic solutions because they do mix the influence of the sensor...

At the heart of differential geometry is the construction of the tangent bundle of a manifold. There are various abstractions of this construction, and of particular interest here is that of Tangent Structures. Tangent Structure is defined via giving an underlying categoryM and a tangent functor T along with a list of natural transformations satisfying a set of axioms, then detailing the behavi...

How can basic research on mathematics instruction contribute to instructional improvement? In our research on the practical rationality of geometry teaching we describe existing instruction and examine how existing instruction responds to perturbations. In this talk I consider the proposal that geometry instruction could be improved by infusing it with activities where students use representati...