Results 51 to 60 of about 2,366,719 (285)

Smooth 2-homogeneous polynomials on the plane with a hexagonal norm

Extracta Mathematicae, 2022
Motivated by the classifications of extreme and exposed 2-homogeneous polynomials on the plane with the hexagonal norm ||(x, y)|| = max{|y|, |x| + |y|/2} (see [15, 16]), we classify all smooth 2-homogeneous polynomials on R2 with the hexagonal norm.
Sung Guen Kim
doaj  

Matrix Convex Sets Without Absolute Extreme Points

, 2017
This article shows the existence of a class of closed bounded matrix convex sets which do not have absolute extreme points. The sets we consider are noncommutative sets, $K_X$, formed by taking matrix convex combinations of a single tuple $X$.
Evert, Eric
core   +1 more source

The Fate (Outcome) of Clinically Apparent Single Lesion and Oligofocal Nephroblastomatosis Treated According to SIOP/GPOH Protocols for Wilms Tumor

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background The management of clinically apparent single lesions or oligofocal nephroblastomatosis, a facultative precursor of nephroblastoma, remains debated. Methods We retrospectively analyzed 37 patients with clinically apparent single or oligofocal nephroblastomatosis (two to three lesions per kidney) among 2347 patients registered between
Nils Welter, Jens‐Peter Schenk, Jenny Wegert, Manfred Gessler, Leo Kager, Stefan Wagenpfeil, Marina Müller, Jean‐Michel Wolff, Joerg Fuchs, Steven W. Warmann, Clemens‐Magnus Meier, Jochen Hubertus, Christian Rübe, Christian Vokuhl, Patrick Melchior, Lena Tschirner, Norbert Graf, Rhoikos Furtwängler   +17 more
wiley   +1 more source

A Novel Neural Network with the Ability to Express the Extreme Points Distribution Features of Higher Derivatives of Physical Processes

Applied Sciences, 2023
Higher derivatives are important to interpret the physical process. However, higher derivatives calculated from measured data often deviate from the real ones because of measurement errors.
Xibo Wang, Feiyan Ma, Yanfei Gao, Jinfeng Liang, Changfeng Zhou   +4 more
doaj   +1 more source

On the extreme points of quantum channels [PDF]

, 2014
Let L(m,n) denote the convex set of completely positive trace preserving operators from C^{m x m} to C^{n x n}$, i.e quantum channels. We give a necessary condition for L in L(m,n) to be an extreme point.
Friedland, Shmuel, Loewy, Raphael
core  

Extreme points of the set of density matrices with positive partial transpose

, 2007
We present a necessary and sufficient condition for a finite dimensional density matrix to be an extreme point of the convex set of density matrices with positive partial transpose with respect to a subsystem.
E. Ovrum, G. Dahl, I. Bengtsson, J. M. Leinaas, J. Myrheim, L. Clarisse, P. Horodecki   +6 more
core   +1 more source

Revealing the structure of land plant photosystem II: the journey from negative‐stain EM to cryo‐EM

FEBS Letters, EarlyView.
Advances in cryo‐EM have revealed the detailed structure of Photosystem II, a key protein complex driving photosynthesis. This review traces the journey from early low‐resolution images to high‐resolution models, highlighting how these discoveries deepen our understanding of light harvesting and energy conversion in plants.
Roman Kouřil
wiley   +1 more source

Barycentric decomposition of quantum measurements in finite dimensions

, 2008
We analyze the convex structure of the set of positive operator valued measures (POVMs) representing quantum measurements on a given finite dimensional quantum system, with outcomes in a given locally compact Hausdorff space.
Berberian S. K., Choquet G., Davies E. B., Dirk Schlingemann, Giacomo Mauro D’Ariano, Giulio Chiribella, Helstrom C. W., Holevo A. S., Holevo A. S., Holevo A. S., Krein M., Paulsen V. I., Reed M., Royden H. L., Störmer E., von Neumann J., Wegge-Olsen N. E.   +16 more
core   +1 more source

On extreme points

Illinois Journal of Mathematics, 1982
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lotz, H. P., Porta, H.
openaire   +3 more sources

Subordination Families and Extreme Points [PDF]

Transactions of the American Mathematical Society, 1988
Let s ( F ) s(F) denote the set of functions subordinate to a univalent function F F in Δ \Delta the unit disk. Let B 0 {B_0} denote the set of functions ϕ ( z ) \phi (z)
Abu-Muhanna, Yusuf, Hallenbeck, David J.
openaire   +1 more source