scholarly journals On the Parameterized Computation of Minimum Volume Outer Ellipsoid of Minkowski Sum of Ellipsoids

2018 ◽  
Author(s):  
Abhishek Halder
Keyword(s):  
Minkowski Sum ◽  
Minimum Volume ◽  
Parameterized Computation

scholarly journals Herriott Cell Design With Minimum Volume and Multiple Reflection Rings for Infrared Gas Sensing

2019 ◽  
Vol 31 (7) ◽  
pp. 541-544
Author(s):  
Ming Dong ◽  
Chuantao Zheng ◽  
Yu Zhang ◽  
Yiding Wang ◽  
Frank K. Tittel
Keyword(s):  
Gas Sensing ◽  
Multiple Reflection ◽  
Cell Design ◽  
Minimum Volume ◽  
Herriott Cell

scholarly journals Stringy canonical forms and binary geometries from associahedra, cyclohedra and generalized permutohedra

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Song He ◽  
Zhenjie Li ◽  
Prashanth Raman ◽  
Chi Zhang
Keyword(s):  
Large Class ◽  
Configuration Space ◽  
Moduli Space ◽  
Cluster Algebras ◽  
Configuration Spaces ◽  
Minkowski Sum ◽  
Canonical Forms ◽  
Infinite Class ◽  
Special Cases ◽  
Generalized Associahedra

Abstract Stringy canonical forms are a class of integrals that provide α′-deformations of the canonical form of any polytopes. For generalized associahedra of finite-type cluster algebras, there exist completely rigid stringy integrals, whose configuration spaces are the so-called binary geometries, and for classical types are associated with (generalized) scattering of particles and strings. In this paper, we propose a large class of rigid stringy canonical forms for another class of polytopes, generalized permutohedra, which also include associahedra and cyclohedra as special cases (type An and Bn generalized associahedra). Remarkably, we find that the configuration spaces of such integrals are also binary geometries, which were suspected to exist for generalized associahedra only. For any generalized permutohedron that can be written as Minkowski sum of coordinate simplices, we show that its rigid stringy integral factorizes into products of lower integrals for massless poles at finite α′, and the configuration space is binary although the u equations take a more general form than those “perfect” ones for cluster cases. Moreover, we provide an infinite class of examples obtained by degenerations of type An and Bn integrals, which have perfect u equations as well. Our results provide yet another family of generalizations of the usual string integral and moduli space, whose physical interpretations remain to be explored.

scholarly journals Drone Ground Impact Footprints with Importance Sampling: Estimation and Sensitivity Analysis

2021 ◽  
Vol 11 (9) ◽  
pp. 3871
Author(s):  
Jérôme Morio ◽  
Baptiste Levasseur ◽  
Sylvain Bertrand
Keyword(s):  
Sensitivity Analysis ◽  
Monte Carlo ◽  
Importance Sampling ◽  
Loss Of Control ◽  
Minimum Volume ◽  
Multiple Importance Sampling ◽  
Impact Position ◽  
Engine Failure ◽  
Main Engine ◽  
Ground Impact

This paper addresses the estimation of accurate extreme ground impact footprints and probabilistic maps due to a total loss of control of fixed-wing unmanned aerial vehicles after a main engine failure. In this paper, we focus on the ground impact footprints that contains 95%, 99% and 99.9% of the drone impacts. These regions are defined here with density minimum volume sets and may be estimated by Monte Carlo methods. As Monte Carlo approaches lead to an underestimation of extreme ground impact footprints, we consider in this article multiple importance sampling to evaluate them. Then, we perform a reliability oriented sensitivity analysis, to estimate the most influential uncertain parameters on the ground impact position. We show the results of these estimations on a realistic drone flight scenario.

Rank-two update algorithms for the minimum volume enclosing ellipsoid problem

2010 ◽  
Vol 51 (1) ◽  
pp. 241-257 ◽  
Author(s):  
Wei-jie Cong ◽  
Hong-wei Liu ◽  
Feng Ye ◽  
Shui-sheng Zhou
Keyword(s):  
Minimum Volume

Clustering via minimum volume ellipsoids

2007 ◽  
Vol 37 (3) ◽  
pp. 247-295 ◽  
Author(s):  
Romy Shioda ◽  
Levent Tunçel
Keyword(s):  
Minimum Volume

scholarly journals (Symplectic) leaves and (5d Higgs) branches in the Poly(go)nesian Tropical Rain Forest

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Marieke van Beest ◽  
Antoine Bourget ◽  
Julius Eckhard ◽  
Sakura Schäfer-Nameki
Keyword(s):  
Rain Forest ◽  
Tropical Rain Forest ◽  
Gauge Theories ◽  
Edge Coloring ◽  
Field Theories ◽  
Minkowski Sum ◽  
Coulomb Branch ◽  
Superconformal Field Theories ◽  
Minkowski Sums ◽  
Symplectic Leaves

Abstract We derive the structure of the Higgs branch of 5d superconformal field theories or gauge theories from their realization as a generalized toric polygon (or dot diagram). This approach is motivated by a dual, tropical curve decomposition of the (p, q) 5-brane-web system. We define an edge coloring, which provides a decomposition of the generalized toric polygon into a refined Minkowski sum of sub-polygons, from which we compute the magnetic quiver. The Coulomb branch of the magnetic quiver is then conjecturally identified with the 5d Higgs branch. Furthermore, from partial resolutions, we identify the symplectic leaves of the Higgs branch and thereby the entire foliation structure. In the case of strictly toric polygons, this approach reduces to the description of deformations of the Calabi-Yau singularities in terms of Minkowski sums.

MINIMUM VOLUME MAGNETIC THRUST BEARING DESIGN FOR CENTRIFUGAL ARTIFICIAL HEART PUMPS

ASAIO Journal ◽  
1996 ◽  
Vol 42 (2) ◽  
pp. 51
Author(s):  
P E Allaire ◽  
R D Rockwell ◽  
G B Bearnson
Keyword(s):  
Artificial Heart ◽  
Thrust Bearing ◽  
Minimum Volume ◽  
Bearing Design

Problems of Radioactive Sodium Removal and Disposal From Decommissioning LMFR Equipment

1997 ◽  
Vol 506 ◽  
Author(s):  
Yu. Ye. Shtynda ◽  
V. I. Polyakov
Keyword(s):  
Radioactive Wastes ◽  
Primary Circuit ◽  
Minimum Volume ◽  
Safe Disposal ◽  
Radionuclide Sorption ◽  
Sodium Removal ◽  
Radioactive Sodium

ABSTRACTPreparing for safe disposal of the LMFR primary circuit equipment and sodium reprocessing for storage and burial with minimum volume of radioactive wastes resulted in testing of radionuclide sorption trapping, distillation and rinsing with water under vacuum used for safe sodium removal and decontamination of equipment.

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