scholarly journals Minimal volume invariants, topological sphere theorems and biorthogonal curvature on 4-manifolds

2018 ◽  
Vol 292 (3) ◽  
pp. 556-572
Author(s):  
Ezio Costa ◽  
Ernani Ribeiro
Keyword(s):  
Minimal Volume ◽  
Sphere Theorems

RIGIDITY AND SPHERE THEOREMS FOR SUBMANIFOLDS

1994 ◽  
Vol 48 (2) ◽  
pp. 291-306 ◽  
Author(s):  
Katsuhiro SHIOHAMA ◽  
Hongwei XU
Keyword(s):  
Sphere Theorems

Minimal volume regulation after shrinkage of red blood cells from five species of reptiles

2008 ◽  
Vol 150 (1) ◽  
pp. 46-51 ◽  
Author(s):  
Karina Kristensen ◽  
Michael Berenbrink ◽  
Pia Koldkjær ◽  
Augusto Abe ◽  
Tobias Wang
Keyword(s):  
Red Blood Cells ◽  
Blood Cells ◽  
Volume Regulation ◽  
Minimal Volume

Transplantation of Pancreatic Islets Contained in Minimal Volume Microcapsules in Diabetic High Mammalians

1999 ◽  
Vol 875 (1) ◽  
pp. 219-232 ◽  
Author(s):  
RICCARDO CALAFIORE ◽  
GIUSEPPE BASTA ◽  
GIOVANNI LUCA ◽  
CARLO BOSELLI ◽  
ANDREA BUFALARI ◽  
...  
Keyword(s):  
Pancreatic Islets ◽  
Minimal Volume

scholarly journals Auerbach Bases and Minimal Volume Sufficient Enlargements

2011 ◽  
Vol 54 (4) ◽  
pp. 726-738
Author(s):  
M. I. Ostrovskii
Keyword(s):  
Linear Space ◽  
Isometric Embedding ◽  
Normed Linear Space ◽  
Convex Set ◽  
Linear Projection ◽  
Minimal Volume ◽  
Finite Dimensional ◽  
Dimensional Normed Space ◽  
Closed Convex Set

AbstractLet BY denote the unit ball of a normed linear space Y. A symmetric, bounded, closed, convex set A in a finite dimensional normed linear space X is called a sufficient enlargement for X if, for an arbitrary isometric embedding of X into a Banach space Y, there exists a linear projection P: Y → X such that P(BY ) ⊂ A. Each finite dimensional normed space has a minimal-volume sufficient enlargement that is a parallelepiped; some spaces have “exotic” minimal-volume sufficient enlargements. The main result of the paper is a characterization of spaces having “exotic” minimal-volume sufficient enlargements in terms of Auerbach bases.

scholarly journals Convex Bodies of Minimal Volume, Surface Area and Mean Width with Respect to Thin Shells

2008 ◽  
Vol 60 (1) ◽  
pp. 3-32 ◽  
Author(s):  
Károly Böröczky ◽  
Károly J. Böröczky ◽  
Carsten Schütt ◽  
Gergely Wintsche
Keyword(s):  
Unit Ball ◽  
Surface Area ◽  
Convex Bodies ◽  
Extreme Points ◽  
Thin Shells ◽  
Minimal Volume ◽  
Asymptotic Formulae ◽  
Mean Width

AbstractGiven r > 1, we consider convex bodies in En which contain a fixed unit ball, and whose extreme points are of distance at least r from the centre of the unit ball, and we investigate how well these convex bodies approximate the unit ball in terms of volume, surface area and mean width. As r tends to one, we prove asymptotic formulae for the error of the approximation, and provide good estimates on the involved constants depending on the dimension.

A simple isochore model evidencing regulation risk

2018 ◽  
Vol 12 (2) ◽  
pp. 233-248 ◽  
Author(s):  
J. Lévy Véhel
Keyword(s):  
At Risk ◽  
Systemic Risk ◽  
Value At Risk ◽  
Solvency Ii ◽  
Basel Ii ◽  
Minimal Volume ◽  
Model Based

AbstractIn this note, we provide a simple example of regulation risk. The idea is that, in certain situations, the very prudential rules (or, rather, some of them) imposed by the regulator in the framework of the Basel II/III Accords or Solvency II directive are themselves the source of a systemic risk. The instance of regulation risk that we bring to light in this work can be summarised as follows: wrongly assuming that prices evolve in a continuous fashion when they may in fact display large negative jumps, and trying to minimise Value at Risk (VaR) under a constraint of minimal volume of activity leads in effect to behaviours that will maximise VaR. Although much stylised, our analysis highlights some pitfalls of model-based regulation.

scholarly journals Minimal volume vitrification of epididymal spermatozoa results in successful IVF and embryo development in mice

2016 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Fabrizzio Horta ◽  
Hamida Alzobi ◽  
Sutthipat Jitanantawittaya ◽  
Sally Catt ◽  
Penny Chen ◽  
...  
Keyword(s):  
Embryo Development ◽  
Minimal Volume ◽  
Epididymal Spermatozoa
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